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LIBRARY OF THE
UNIVERSITY OF CALIFORNIA. GIFT OF
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GENERAL LAND OFFICE
TABLES AND FORMULAS FOR THE USE OF
U. S. SURVEYORS AND ENGINEERS ON
PUBLIC' LAND SURVEYS A SUPPLEMENT TO THE ·MANUAL OF SURVEYING INSTRUCTIONS
COIIPILED UNDER THE DlREcr'lON 01"
FRED DENNETT COIIIIIBSIONER OF THE
GENE~
LAND OFFICE
?
WASHINGTON i
<
I
QOVERNIIENT PRINTING OFFlCIl
1910
United States surveyors and engineers, and all others who may find It convenienl to use the tables Included In this vol\lIDe, are req uested to report to the Commissioner of the General Land Ollice, Washington, D. C., any errors detected In the tables as printed.
2
CONTENTS. No. Page. 1. Units of linear mea.sure, units of area. expansion of steel tapes, and conversion tables chains to feet and feet to chains.............................. 5 2. Reduction in latitude to south boundary of township, and corrections tor con vergency within a townshi p .......•. _. • • .. . . • . . . . . . . . . . . . . . . . . . . . . . 6 3. Traverse table, for the correction of random lines. . . . . . . . . . . . . . . . . . . . . . . . . 7 4. Traverse tables........................................................... 8 5. Correction of error In stadla wire Interval. • . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 6. Stadla coefficients, vertical rod............................................ 99 7. Natural sines and cosines,.. ... ........................................... 106 8. Natural tangents and cotangents.......................................... ll5 9. Logarithmic sines, cosines, tangents, and cotangents ...•........... :...... 127 lO. Logarithms of numbers................................................... 172 ll. Convergency of meridians, and difierences of latitude and longitude....... 199 12. Azimuths of the tangent to the parallel................................... 200 13. Offsets from the tangent to the parallel. . . . . .• ........................... 201 14. Azimuths of the secant ..•••.•.......... : ...................... " .. .. . . . . . 202 15. Offsets from the secant to the parallel. .. . . . . . . . . .. . . .. .. •. . . . . . . . . .. . . . .. . 203 16. Lengths of arcs ofthe earth's aurface •....... : . . . . . . . . . . . . . . . .. . . .. .. . .. . . . 204 17. A pparent time of sunrise and sunSet; .••. : .. '............ .'. . . . . . . . . . . . . . . . . 205 18. Conversion tables, degrees to time, and time to degrees................... 206 19. Sidereal conversions, and reductions to the locsl mean time of upper culmination of Polaris. _...................................................... 207 20. Mean refractions In zenith distance ..•••.•.......•..............•...••• _.. 208 21. Coefficients to apply to mean refractions for variations In barometer and temperature............................................... ••••.••••.••• 209 22. Coeftlclents for computing errors In azimuth, due to small errors In decllna. tlon or latitude. _. . •.•••.. .. .. .. . . . . . . . . . . ... . .. .. . . . .. . . . . .. ...... ... . . 210 23. Mean refractions In polar distance.. .. .. ... .. .. .. .. . .. . . .. . . .. .. .. . . . . . . . . . 2ll 24. Trigonometric formulas for the solution of plane triangles................. 218 25. Trigonometric formulas for the solution of stadia measurements, observations for time, latitude, and azimuth, and problems In convergenoy..... 220
Standard Field Tables. TABLE t.-UNITS OF MEASURE, ETCl. UNITS OF LINEAR MEASURE.
UNITS OF AREA.
1 &cre= 10 square chalns. - 43,500 square feet. 1 square mfl_ 640 acres.
1 cha1n= 100 links. - 66 foot. 1 mfle - BOohalns. - 5,280 feet.
EXPANSION OF STEEL TAPES.
The coe1Ilclent of expansion of steel tapes=O.<XXXXl65 for 1· F. CONVERSION TABLES.
Chaim to feet. 1 2 3 4 5 6 7 8 9 10
Feet to chains. 100
66 132 198 264 330 396 462 528 594 660
:ro 300
400 500
600 700 800
900 1,000
Lina to feet. 1 2 3 4 5 6 7 8 9 10
1.51515 3.03030
4.54546
6.06061 7.57576 9.09091 10.60606 12.12121 13.63636 15.16152
Feet to lina.
0.66 L32 1.98 2.64 3.30
1 2 3 4 5 6 7
3.96
4.62 5.28 5.94 6.60
8 9 10
5
1.5 3.0 4.5 6.1 7.6 9.1 10.6 12.1 13.6 15.2
TA.BLE 2.-REDUCTION IN LATITUDE TO SOUTH BOUNDARY OF TOWNSHIP. Miles.
Cbs.
0 10 20 30 40
50 60
70 80
~_O~ ~_1_1 __2~ __3_ _ _4_ _ _5_ ,
,
,
,
,
,
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.8 0.9
0.9 1.0 1.1 1.2 1.3 1.4 1.6 L6 1.1
1.7 1.8 2.0 2.1 2.2 2.3 2.4 2.5 2.6
2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.4 3.5
3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3
4.3 4.4 4.6 4.7 4.8 4.9 5.0 5.1 5.2 ~~--
CORRECTIONS FOR CONVERGENCY WITHIN A TOWNSHIP.
Lat.
. .
25 to 30 30 to 35 35 to 40 40 to 45 45 to 50 50 to 55 55 to 60 60 to 66
M to 70
1m!.
2ml.
3ml.
,
-~~
0 1 1 1 1 1 1 2 2
1 1 1 2 2
,
4ml.
1 2 2 2 3 3 4 5 6
2 3 3 4
2 2 3 3 4 5 5 7 8 -
6
5m!.
--------, , , 2 3 3 4 5 6 7 8, 10
TABLE IJ.-TRAVERSE TABLE FOR THE CORRECTION OF RANDOM LINES.
Distance In chains. 10
20
30
40
o·
o
0.0 0.0 0.0 0.0 1 0.3 0.6 0.9 1.2 2 0.6 1.2 1.7 2.3 30.91.7 2.6 3.5 4 1.2 2.3 3.5 4.7 6 1.5 2.9 4.4 5.8 61.73.5 5.2 7.0 7 2.0 4.1 6.1 8.1 8 2.3 4.7 7.0 9.3 9 2.6 5.2 7.9 10.5 10 2.9 5.8 8.7 11. 6 11 3.2 6.4 9.6 12.8 12 3.5 7.0 10.5 14.0 13 3.8 7.6 11.3 15.1 14 4.1 8.1 12.2 16.3 154.48.7 13.1 17.5 16 4.7 9.3 14.0 18.6 17 4.9 9.9 14.8 19.8 18 5.2 10.5 15.7 20.9 19 5.5 11.1 16.6 22.1 20 5.8 11.6 17.5 23.3 21 6.112.2 18.3 24.4 22 6.4 12.8 19.2 25.6 23 6.7 13.4 20.1 26.8 24 7.0 14.0 20.9 27.9 26 7.3 14.5 21. 8 29.1 26 7.6 15.1 22.7 30.3 27 7.9 16.7 23.6 31. 4 28 8.1 16.3 24.4 32.6 29 8.4 16.9 25.3 33.7 30 8.7 17.5 26.2 34.9 31 9.0 18.0 27.1 36.1 32 9.3 18.6 27.9 37.2 33 9.6 19.2 28.8 38.4 34 9.9 19.8 29.7 39.6 35 10.2 20.4 30.6 40.7 36 10.5 20.9 31.4 41. 9 37 10.8 21.5 32.3 43.1 38 11.1 22.1 33.2 44.2 39 11.3 22.7 34.0 45.4 40 11.6 23.3 34.9 46.5 41 11.9 23.9 35.8 47.7 42 12.2 24.4 36.7 48.9 43 12.5 25.0 37.5 50.0 44 12.8 25.6 38.4 51. 2 46 13.1 26.2 39.3 52.4 46 13.4 26.8 40.1 53." 47 13.7 27.3 41.0 54.7 48 14.0 27.9 41. 9 65.S 49 14.3 28.5 42.8 57.0 50 14.5129.1 43.6 58.2 51 14.8 29.7 44.5 59.3 52 15.1 30.3 45.4 60.5 53 15.4 30.8 46.2 61. 7 54 15.7 31. 4 47.1 62.8 55 16.0 32.0 48.0 64.0 66 16.3 32.6 48.9 65.2 57 16.6 33.2 49.7 66.3 58 16.9 33.7 50.6 67.5 59 17.2 34.3 51. 5 68.6 60 17.5 34.9 62.4 69.8
60
60
70
80
90
100
Departure In links.
-,----,---,---,---1
0.0 0.0 1.5 1.7 2.9 3.5 4.4 5.2 7.0 5.8 7.3 8.7 8.7 10.5 10.2 12.2 11.6 14.0 13.1 15.7 14.5 17.5 16.0 19.2 17.5 20.9 18.9 22.7 20.4 24.4 21. 8 26.2 23.3 27,9 24.7 29.7 26.2 31. 4 27.6 33.2 29.1 34.9 30.5 36.7 32.0 38.4 3.1.5 40.1 34.9 41. 9 36.4 43.6 37.81 4".4 39.3. 47.1 40.7: 48.9 42.2 I 50.6 43.6 52.4 45.1 54.1 46.5 55.8 48.0 57.6 49.5 59.3 50.9 61.1 62.4 62.8 53.8 64.6 55.3 66.3 66.7 68.1 56.2 59.8 59.6 71.6 61.1 73.3 62.5 75.0 64.0 76.8 65.4 78.5 66.9 SO. 3 68.4 82.0 69.8 83.8 71.3 85.5 72.7 87.3 74.2 89.0 75.6 90.8 77.1 92.5 78.5 94.2 SO.O 1 96.0 81.4 i 97.7 82.9 I 99.5 84.41101. 2 85.8 103.0 87.3 104.7
0.0 0.0 0.0 0.0 60 2.0 2.3 2.6 2.9 59 4.1 4.7 5.2 5.858 6.1 7.0 7.9 8.7 57 8.1 9.3 10.5 11.6 66 10.2 11.6 13. 1 14.5 55 12.2 14.0 15.7 17.5 54 14.3 16.3 18.3 20.4 53 16.3 18.6 20.9 23.3 52 18.3 20.9 23.6 26.2 51 20. 4 23.3 26.2 29. 1 60 22. 4 25. 6 28. 8 32. 0 4g 24.4 27.9 31.4 34.91 48 26.5 30.3 34.0 37.8 47 28. 5 32. 6 36. 7 40. 7 46 30. 5 34.9 39.3 43.6 45 32.6 37.2 41.9 46.5 44 34.6 39.6 44.5 49. 5 43 36.7 41.9 47.1 52.4 42 38.7 44.2 49.7 55.3 41 40.7 46.5 52.4 56.2 40 42.8 48.9 55.0 61. 1 39 44.8 51.2 57.6 64.0 38 46.8 53.5 00.2 66.9 37 48.9 55.9 62.8 69.8 36 50. 9 56. 2 65. 4 72. 7 35 52.9 60.5 68.1 75.6 34 55.0 62.8 70.7 78.5 33 57.0 65.2 73.3 81.4 32 59.0 67.5 75.9 84.4 31 61. 1 69.8 78. 5 87.3 30 63. 1 72. 1 81. 2 90.2 29 65.2 74.5 83.8 93.1 28 67.2 76.8 86.4 96.0 27 69.2 79. 1 89.0 98.9 26 71. 3 81. 4 91. 6 101. 8 26 73.3 83.8 94.2 104.7 24 75.3 86.1 96.9 107.6 23 77. 4 88. 4 99. 5 110.6 22 79.4 90.8 102.1 113.4 21 81. 4 93. 1 104. 7 116.4 20 83.5 95.4 107.3 119.3 19 85.5 i 97.7 110.0 122.2 18 87.6 '100.1 112.6 125.1 17 89.6 102. 4 115.2 128.0 16 91.6 104.7 117.8 130.9 16 93.7 107.0 120.4 133.8 14 95.7 109.4 123.0 136.7 13 97.7 1ll.7 125.7 139.6 12 99.8 114.0 128.3 142.5 11 101. 8 116.4 130.9 145.4 10 103.8 118.7' 133.5 148.3 9 105.9 121. 0 '136.1 151.3 8 107.9 123.3! 138.7 154.2 7 110.0 125. 7 141. 4 157.1 6 112.0 128.0 144.0 160.0 5 114.0 130.3 146.6 162.9 4 116.1 132.6 149.2 165.8 3 118. 1 135.0 151. 8 168. 7 2 1 120.1 137.3 154.5 171.6 0 122.2 139.6 157.1 i 174.5
Latitude In links.
7·
I
89"
TABLE t.-TBA VERSE TABLE. t:::I
~=s
I
~'.
}i'.
I
t:::I
~'.
Lat.
Dep.
f~
0.01 0.02 0.03 0.03 0.04 0.05 0.06 0.07 0.08 0.09
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00
0.01 0.03 0.04 0.05 0.07 0.08 0.09 0.10 0.12 0.13
1 2 3 4 5 6 7 8 9 10
11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00
0.10 0.10 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.17
11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00
0.14 0.16 0.17 0.18 0.20 0.21 0.22 0.24 0.25 0.26
11 12 13 14 15 16 17 18 19 20
0.09 0.10 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13
21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00
0.18 0.19 0.20 0.21 0.22 0.23 0.24 0.24 0.25 0.26
21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00
0.27 0.29 0.30 0.31 0.33 0.34 0.35 0.37 0.38 0.39
21 22 23
31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00
0.14 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.17
31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00
0.27 0.28 0.29 0.30 0.31 0.31 0.32 0.38 0.34 0.31>
31.00 32.00 33.00 34.00 85.00 36.00 87.00 38.00 39.00 40.00
0.41 0.42 0.43 0.45 0.46 0.47 0.48 0.50 0.51 0.52
31 32 33 34 85
41 42 43 44 45 46 47 48 49 50
41.00 42.00 43.00 44.00 45.00 46.00 47.00 48.00 49.00 60.00
0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.22
41.00 42.00 43.00 44.00 45.00 46.00 47.00 48.00 49.00 50.00
0.36 0.87 0.38 0.38 0.39 0.40 0.41 0.42 0.43 0.44
41.00 42.00 43.00 44.00 45.00 46.00 47.00 48.00 49.00 50.00
0.64 0.65 0.66 0.68 0.69 0.60 0.62 0.63 0.64 0.65
41
ti
Dep.
L9.t.
Dep.
Lat.
Dep.
Lat.
16
Lat.
Dep.
Lat.
Dep.
I 2 3 4
6 7 8 9 10
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00
0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.03 0.04 0.04
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00
11 12 13 14 15 16 17 18 19 20
11. 00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00
0.05 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.08 0.09
21 22 23 24 25 26 27 28 29 30
21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00
31 32 33 34 35 36 37 38 39 40
I)
i
~
I
I !
--- - - - - - -
24 25 26 27 28 29 30
~
38 39 40
42 43 44 45 46 47 48 49 50
---
-'--1 ~'.
89}i·.
8
I
811~·.
j ~
TABLE f.-TRAVERSE TABLB. t='
~o.
g 1i
Lat.
51 52 63 64 65 66 67 68
51.00 62.00 63.00 64.00 65.00 66.00 67.00 58.00
~
~.OO
00 61 62 63 64 65 66 67 68
Lat.
Lat.
Dep.
Dep.
~
1i
--51.00 62.00 63.00 64.00 65.00 66.00 67.00 68.00 59.00 60.00
0.45 0.45 0.46 0.47 0.48 0.49 0.50 0.61 0.51 0.52
51.00 52.00 63.00 64.00 65.00 66.00 57.00 57.99 58.99 69.99
0.67 0.68 0.00 0.71 0.72 0.73 0.75 0.76 0.77 0.79
61 52 63 64 65 66 67 68 50
60.00
0.22 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.26
69 70
61.00 62.00 63.00 64.00 65.00 66.00 67.00 68.00 00.00 70.00
0.27 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31
61.00 62.00 63.00 64.00 65.00 66.00 67.00 68.00 00.00 70.00
0.63 0.64 0.65 0.66 0.67 0.58 0.58 0.69 0.60 0.61
60.99 61.99 62.99 63.99 64.99 65.99 66.99 67.99 68.99 00.99
O.lll 0.81 0.82 0.84 0.85 0.86 0.88 0.89 0.90 0.92
61 62 63 64 65 66 67 68
71 72 73 74 75 76 77 78 79 80
71.00 72.00 73.00 74.00 75.00 76.00 77.00 78.00 79.00 80.00
0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35
71.00 72.00 73.00 74.00 75.00 76.00 77.00 78.00 79.00 80.00
0.62 0.63 0.64 0.65 0.65 0.66 0.67 0.fJ8 0.00 0.70
70.99 71.99 72.99 73.99 74.99 75.99 76.99 77.99 78.99 79.99
0.93 0.94 0.96 0.97 0.98 0.99 1.01 1.02 1.03 1.05
71 72 73 U 76 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
81.00 82.00 83.00 84.00 85.00 86.00 87.00 88.00 89.00 90.00
0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.38 0.39 0.39
81.00 82.00 83.00 84.00 86.00 86.00 87.00 88.00 89.00 90.00
0.71 0.72 0.72 0.73 0.74 0.75 0.76 0.77 0.78 0.79
SO. 99 81. 99 82.99 83.99 84.99 85.99 86.99 8799 88.99 89.99
1.06 1.07 1.09 1.10 1.11 1.13 1.14 1.15 1.16 1.18
81 82 83 84 85 86 87 88 89 90
91 92 93 94 96
91.00 92.00 93.00 94.00 96.00 96.00 97.00 98.00 99.00 100.00
0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44
91.00 92.00 93.00 94.00 95.00 96.00 97.00 98.00 99.00 100.00
0.79 O.SO 0.81 0.82 0.83 0.84 0.85 0.86 0.86 0.87
90.99 91.99 92.99 93.99 94.99 95.99 96.99 97.99 98.99 99.99
1.19 1.20 1.22 1.23 1.24 1.26 1.27 1.28 1.30 1.31
91 92 93 94 96 96 97 98 99 100
Dep.
Lat.
Dep.
Lat.
D~p.
Lat.
8
96
97 98 99 100
I
Dep.
t='
~o.
~o.
j A
891,40.
89~0.
9
I
89~0.
00
69
70
~
A
TABLE 4.-TRAVEIlSE TABLE. 1:1
~
§ ~
1°.
----Lat.
Dep.
I
1~0.
B~o"
----
Lat.
Lat.
Dep.
Dep.
I
1%°.
I
I I
Lat.
Dep.
1::1 EO
!O
~
I-
1 2 3 4 6 6 7 8 9 10
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00
0.02
1.00 2.00 3.00 4.00 6.00 6.00 7.00 8.00 9.00 10.00
0.02 0.04 0.07 0.09 0.11 0.13 0.15 0.17 0.20 0.22
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00
8:~ I
0.08 0.10 0.13 0.16 0.18 0.21 0.24 0.26
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00
O.oa
0.05 0.07 0.09 0.10 0.12 0.14 0.16 0.17
0.06 0.09 0.12 0.15 0.18 0.21 0.24 0.27 0.31
1 2 3 4 6 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00
0.19 0.21 0.23 0.24 0.26 0.28 0.30 0.31 0.33 0.35
11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00
0.24 0.26 0.28 0.31 0.33 0.35. U.37 ~ 0.39 i 0.41 0.44
11.00 12.00 13.00 14.00 14.99 15.99 16.99 17.99 18.99 19.99
0.29 0.31 0.34 0.37 0.39 0.42 0.45 0.47 0.50 0.62
10.99 11.99 12.99 13.99 14.99 15.99 16.99 17.99 18.99 19.99
0.34 0.37 0.40 0.43 0.46 0.49 0.52 0.55 0.58 0.61
11 12 13 14 16 16 17 18 19 20
21
21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00
0.37 0.38 0.40 0.42 0.44 0.45 0.47 0.49 0.51 0.62
~1.00
23.99 24.99 25.99 26.99 27.99 28.99 29.99
0.46 0.48 0.50 0.52 0.55 0.57 0.59 0.61 0.63 0.65
20.99 21.99 22.99 23.99 24.99 25.99 26.99 27.99 28.99 29.99
0.55 0.58 0.00 0.63 0.65 0.68 0.71 0.73 0.76 0.79
20.99 21. 99 22.99 23.99 24.99 25.99 26.99 27.99 28.99 29.99
0.64 0.67 0.70 0.73 0.76 0.79 0.82 0.86 0.89 0.92
21 22 23 24 25 26 27 28 29 30
31.00 32.00 32.99 33.99 34.99 35.99 36.99 37.99 38.99 39.99
0.54 0.56 0.58 0.59 0.61 0.63 0.65 0.66 0.68 0.70
30.99 31. 99 32.99 3.1.99 34.99 35.99 36.99 37.99 38.99 39.99
0.68 0.70 0.72 0.74 I 0.76 0.79 0.81 0.83 0.85 0.87
30.99 31. 99 32.99 33.99 34.99 35.99 36.99 37.99 38.99 39.99
0.81 0.84 0.86 0.89 0.92 0.94 0.97 0.99 1.02 1.05
30.99 31.99 32.98 33.98 34.98 35.98 36.98 37.98 38.98 39.98
0.95 0.98 1. 01 1.04 1.07 1.10 1.13 1.16 1.19 1.22
31 32 33
38 39 40
40.99 . 41.99 42.99 43.99 44.99 46.99 46.99 47.99 '48.99 49.99
0.72 0.73 0.75 0.77 0.79 0.80 0.82 0.84 0.86 0.87
40.99 41. 99 42.99 43.99 44.99 45.99 46.99 47.99 48.99 49.99
0.89 0.92 0.94 0.96 0.98 1.00
40.99 41. 99 42.99 43.98 44.98 46.98 46.98 47.98 48.98 49.98
1.07 1.10 1.13 1.15 1.18 1.20 1.23 1.26 1.28 1.31
40.98 41. 98 42.98 43.98 44.98 45.98 46.98 47.98 48.98 49.98
1. 25 1.28 1.31 1. 34 1.37 1.40 1. 44 1. 47 1.50 1.53
41 42 43 44 46 46 47 48 49 60
22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
37 38 39 40 41 42 43 44 46 46 47 48 49
50
-2i
~
O.oa
1.99
~2.99
Loa
1.05 1.07 1.09
--- i ----
Dep.
Lat.
Dep.
A
Dep.
Lat.
Dep.
Lat.
88~0.
88%°.
10
I
~
j
I
89°.
35 36 37
--- - - - --- - - - - -
Lat.
~
.!!l
34
88~0.
!
TA.BLE "'.-TRA.VERSE TABLE.
g
: <>
tj
1~'.
l~o.
l~o.
I'.
tj
-----
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
!" - - --- --- --- - - - - - - --- ---
.
;
1.34 1.36 1.39 1.41 1.« 1. 47 1.49 1.52 1.54 1.1;7
ro.98 61.98 62.98 53.97 54.97 M.97 66.97 57.97 68.97 1;9.97
1.66 1.59 1.62 1.65 1.68 1.71 1. 74 1.77 1.80 1.83
60.99 61.99 62.99 63.98 64.98 65.98 66.98 67.98 68.98 69.98
1.33 1.85 1.37 1.40 1.42 1.« 1.46 1.48
60.98 61.98 62.98 63.98 64.98 65.98 66.98 67.98 68.98 69.98
1.60 1.62 1.61; 1.68 1. 70 1. 73 1. 75 1. 78 1.81 1.83
60.97 61.97 62.97 63.97 64.97 65.97 66.97 67.97 68.97 69.97
1.86 1.89 1.92 1. 91; 1.99 2.02 2.05 2.08 2.11 2.14
61 62 63 64 65 66 67 68 69 70
1.24 1.26 1.27 1.29 1.31 1.33 1.34 1.36 1.38 1.40
70.98 71.98 72.98 73.98 74.98 75.98 76.98 77.98 78.98 79.98
1.55 1. 57 . 1.69' 1.61 1.64 1.66 1.68 1. 70 1. 72 1. 75
70.98 71.98 72.97 73.97 74.97 75.97 76.97 77.97 78.97 79.97
1.86 1.88 1. 91 1.94 1.96 1.99 2.02 2.04 2.07 2.09
70.97 71.97 72.97 73.97 74.97 75.96 76.96 77.96 78.96 79.96
2.17 2.20 2.23 2.26 2.29 2.32 2.85 2.38 2.41 2.«
71 72 73 74 75 76 77 78 79 80
80.99 81.99 82.99 83.99 84.99 85.99 86.99 87.99 88.99 89.99
1.41 1.43 1.45 1. 47 1.48 1.50 1.52 1.54 1.65 1.57
80.98 81.98 82.98 83.98 84.98 85.98 86.98 87.98 88.98 89.98
1. 77 1.79 1.81 1.83 1.85 1.88 1.90 1.92 1. 94 1.96
80.97 81. 97 82.97 83.11. 84.97 85.97 86.97 87.97 88.97 89.97
2.12 2.15 2.17 2.20 2.23 2.25 2.28 2.30 2.33 2.36
80.96 81.96 82.96 83.96 84.96 85.96 86.96 87.96 88.96 89.96
2.47 2.ro 2.53 2.67 2.60 2.63 2.66 2.69 2.72 2.71;
81 82 83 84 85 86 87 88 89 90
00.99 91.99 92.99 93.99 94.99 95.99 96.99 97.99 98.98 99.98
1.59 1.61 1.62 1.64 1.66 1.68 1.69 1. 71 1. 73 1.75
90.98 91.98 92.98 93.98 94.98 95.98 96.98 97.98 98.98 99.98
1.99 2.01 2.03 2.05 2.07 2.09 2.12 2.14 2.16 2.18
90.97 91.97 92.97 93.97 94.97 95.97 96.97 97.97 98.97 99.97
2.38 2.41 2.43 2.46 2.49 2.51 2.54 2.57 2.59 2.62
90.00 91. 96 92.96 93.96 94.96 95.96 96.95 97.95 98.95 99.95
'2.78 2.81 2.84 2.87 2.90 2.98 2.96 2.99 3.02 3.05
91 92 93 94 95 96 97 98 gg 100
57 68 59 60 61 62 63 64 61; 66 67 68 69 70
60.99 61.99 62.99 63.99 64.99 65.'9 66.99 67.99 68.99 69.99
1.06 1.08 1.10 1.12 1.13 1.15 1.17 1.19 1.20 1.22
71 72 73 74 75 76 77 78 79 80
70.99 71.99 72.99 73.99 74.99 75.99 76.99 77.99 78.99 79.99
81 82 83 84 85 86 87 88 89 90 91 92 93
64
56
!
ro.98 61. 98 52.98 63.98 54.98 65.98 66.98 67.98 68.98 59.98
0.89 0.91 0.92 0.94 0.96 0.98 0.99 1.01 1.03 1.05
55
94
96
96
97 98 99 100
-- -----~
.~
!l
:A
&1
1.11 1.13 1.16 1.18 1.20 1.22 1. 24 1. 27 1.29 1.31
ro.99 61.99 52.99 63.99 54.99 M.99 66.99 1;7.99 68.99 69.99
51 52 63
r
--
Dep. 89'.
Lat.
ro.99 IH.99 52.99 63.99 54.99 ~.99
66.99 67.99 68.99 69.99
I I
U~I
------ -----Dep.
Lat., Dep.
~'.
: 11
Lat.
88~o.
Dep.
Lat.
~o.
52 63 54 65
56
57 68 69 60
--
j A
:
TABLE f.-TRAVERSE TABLE. 20.
tj
2~0.
Ii'
2~·.
2~·.
tj
Ii'
I
S-
Dep. Lat. Lat. Dep. Lat. Dep. Lat. Dep. " - - --- - - - - - - - - - - - - --- --- - - -I~1 2 3
1.00 2.00 3.00 4.00 5.00 6.00 7.00 7.99 8.99 9.99
0.03 0.07 0.10 0.14 0.17 0.21 0.24. 0.28 0.31 0.35
1.00 2.00 3.00 4.00 5.00 6.00 6.99 7.99 8.99 9.99
0.04 0.08 0.12 0.16 0.20 0.24. 0.27 0.31 0.35 0.39
1.00 2.00 3.00 4.00 5.00 5.99 6.99 7.99 8.99 9.99
0.04 0.09 0.13 0.17 0.22 0.26 0.31 0.35 0.39 0."""
1.00 2.00 3.00 4.00 4.99 5.99 6.99 7.99 8.99 9.99
0.05 0.10 0.14 0.19 0.24. 0.29 O.M 0.38 0.43 0.43
5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10.99 12. 99 13.99 14. 99 15. 99 16.99 17.99 18.99 19.99
0.38 0.4.2 0.45 0.411 0.52 0.56 0.59 0.63 0.66 0.70
10.99 11.99 12. 99 13. 99 14.99 15. 99 16.99 17.99 18. 99 19.98
0.43 0.47 0.51 0.55 0.59 0.63 0.67 0.71 0.75 0.79
10.99 11.99 12. 99 13.99 14. 99 15. 98 16.98 17.98 18. 98 19.98
0.43 0.52 0.57 0.61 0.65 0.70 0.74 0.79 0.83 0.87
10.99 11.99 12. 99 13.98 14. 98 15. 98 16. 98 17.98 18.98 19.98
0.53 0.68 0.62 0.67 0.72 0.77 0.82 0.86 0.91 0.96
11 12 13 14. 15 16 17 18 19 20
21 22 23 24. 25 26 27 28 29 30
20.99 21.99 22.99 23.99 24. 98 25.98 26.98 27.98 28.98 29.98
0.73 0.77 0.80 O.s. 0.87 0.91 0.94. 0.98 1. 01 1.05
20.98 21.98 22.98 23.98 24.98 25.98 26.98 27.98 28. 98 29.98
0.82 0.86 0.90 0.94 0.98 1.02 1.06 1.10 1.14 1.18
20.98 21.98 22.98 23.98 24.98 25.98 26.97 27.97 28. 97 29.97
0.92 0.96 1.00 1.05 1.09 1.13 1.18 1.22 1.26 1.31
20.98 21.97 22.97 23. 97 24. 97 25. 97 26.97 27.97 28.97 29.97
1.01 1.06 1.10 1.15 1.20 1.25 1.30 1.34. 1.39 1.......
21 22 23 24. 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
30.98 31.98 32.98 33.98 34..98 35.98 36.98 37.98 38.98 39.98
1.08 1.12 1.15 1.19 1.22 1.26 1.29 1.33 1.36 1.40
30.98 31.98 32.97 33.97 34.97 35.97 36.97 37.97 38.97 39.97
1.22 1.26 1.30 1.33 1.37 1.41 1.45 1.49 1.63 1.57
30.97 31.97 32.97 33.97 34.97 35.97 36.96 37.96 38.96 39.96
1.35 1.40 1.43 1.63 1.57 1.61 1.66 1.70 1.74
30.96 31.96 32.96 33.96 34..96 35.96 36.96 37.96 38.96 39.95
1.4.9 1.04 1.68 1.63 1.68 1.73 1. 78 1.82 1.87 1.92
31 32 33 U 35 36 37 38 89 40
41 42 43
40.98 41.97 42. 97 43.97 44.97 45. 97 46.97 47.97 43.97 49.97
1.43 1.47 1.50 1.04 1.57 1.61 1.64 1.68 1.71 1.74
40.97 41.97 4.2.97 43.97 44.97 45.96 46.96 47.96 48.96 49.96
1.61 1.65 1.69 1.73 1.77 1.81 1.85 1.88 1.92 1.96
40.96 41.96 4.2.96 43.96 44.96 45.96 46.96 47.95 48.95 4.9.95
1.79 1.83 1.88 1.92 1.96 2.01 2.05 2.09 2.14 2.18
40.95 41.95 42.95 43.95 44.95 45. 95 46.95 47.94 48.94. 49.94
1.97 2.02 2.06 2.11 2.16 2.21 2.25 2.30 2.35 2.40
41 4.2 43
"
5 6 7 8 9 10
...... 45 46 47 43 49 50
11.99
I."""
1 2 3
"
...... 45 46 47 43 49 50
- - ------ - - - - - - ------ - - - - - -I -
i A
Dep. 88·.
Lat.
Dep.
Lat.
Dep.
87~0.
Lat.
87~0.
12
Dep.
Lat.
87~·.
i .!!l
A
TABLE •• -TRA.VEBSE TABLE.
i!i
Dep.
Lat.
2}i°.
2~0.
2°.
l:j
Lat.
Dep.
Lat.
Dep.
--- --- --- - - --- --- --51 52 53
~
214°· Lat.
Dep.
i,.. (D
--- - - - - -
60.97 51.97 52.97 53.97 04.97 55.97 66.97 57.96 58.96 59.96
1. 78 1.81 1.85 1.88 1.92 1. 95 1.99 2.02 2.06 2.09
60.96 51.96 52.96 53.96 04.96 55.96 66.96 57.96 58.95 59.95
2.00 2.04 2.08 2.12 2.16 2.20 2.24 2.28 2.32 2.36
60.95. 51.95 52.95 53.95 04.95 55.95 66.95 57.94 58.94 1iII.94
2.22 2.27 2.31 2.36 2.40 2.44 2.49 2.53 2.57 2.62
60.94 51.94 52.94 53.94 04.94 55.94 66.93 57.93 58.93 1iII.93
2.45 2.49 2.04 2.59 2.64 2.69 2.73 2.78 2.83 2.88
51 52 53 04 55 66 57 58 59 60
65 66
67 68 69 70
60.96 61.96 62.96 63.96 64.96 65.96 66.96 67.96 68.96 69.96
2.13 2.16 2.20 2.23 2.27 2.30 2.34 2.37 2.41 2.44
60.95 61.95 62.95 63.95 64.95 65.95 66.95 67.95 68.95 69.95
2.39 2.43 2.47 2.51 2.55 2.59 2.63 2.67 2.71 2.75
60.94 61.94 62.94 63.94 64.94 65.94 66.94 67.94 68.93 69.93
2.66 2.70 2.75 2.79 2.84 2.88 2.92 2.97 3.01 3.05
60.93 61.93 62.93 63.93 64.93 65.92 66.92 67.92 68.92 69.92
2.93 2.97 3.02 3.07 3.12 3.17 3.21 3.26 3.31 3.36
61 62 63 64 55 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
70.96 71.96 72.96 73.95 74.95 75.95 76.95 77.95 78.95 79.95
2.43 2.51 2.55 2.58 2.62 2.65 2.69 2.72 2.76 2.79
70.95 71.94 72.94 73.94 74.94 75.94 76.94 77.94 78.94 79.94
2.79 2.83 2.87 2.91 2.94 2.98 3.02 3.06 3.10 3.14
70.93 71.93 72.93 73.93 74.93 75.93 76.93 77.93 78.92 79.92
3.10 3.14 3.18 3.23 3.27 3.32 3.36 3.40 3.45 3.49
70.92 71.92 72.92 73.91 74.91 75.91 76.91 77. 91 78.91 79.91
3.41 3.45 3.50 3.55 3.60 3.65 3.69 3.74 3.79 3.84
71 72 73 74 75 76 78 79 80
81 82 83 84
80.95 81.95 82.95 83.95 84.95 85.95 86.95 87.95 88.95 89.95
2.83 2.86 2.90 2.93 2.97 3.00 3.04 3.07 3.11 3.14
80.94 81.94 82.94 83.94 84.93 85.93 86.93 87.93 88.93 89.93
3.18 3.22 3.26 3.30 3.34 3.38 3.42 3.45 3.49 3.53
80.92 81.92 82.92 83.92 84.92 85.92 86.92 87.92 88.92 89.91
3.53 3.58 3.62 3.66 3.71 3.75 3.79 3.84 3.88 3.93
80.91 81. 91 82.90 83.90 84.90 86.90 86.90 87.90 88.90 89.90
3.89 3.93 3.98 4.03 4.08 4.13 4.17 4.22 4.27 4.32
81 82 83 84 85 86 87 88 89 90
90.95 91. 94 92.94 93.94 94.94 95.94 96.94 97.94 98.94 99.94
3.18 3.21 3.25 3.28 3.32 3.35 3.39 3.42 3.46
90.93 91. 93 92.93 93.93 94.93 95.93 96.93 97.92 98.92 99.92
3.57 3.61 3.65 3.69 3.73 3.77 3.81 3.85 3.89 3.93
90.91 91.91 92.91 93.91 94.91 95.91 96.91 97.91 98.91 99.90
3.97 4.01 4.06 4.10 4.14 4.19 4.23 4. 27 4.32 4.36
90.90 91. 89 92.89 93.89 94.89 95.89 96.89 97.89 98.89 99.88
4.37 4. 41 4.46 4.51 4.66 4.61 4.65 4. 70 4. 75 4.80
91 92 93 94 95 96 97 98 99 100
54
55 56 57 58 59 60 61 62 63 64
85
86 87 88 89 90
91 92 93 94 95 96 97 98 99
100
3.49
77
- - - - - - - - - - - --- --- --- - - - - - - - ~
~ S
~
Dep.
88°.
Lat.
Dep.
LIlt.
Dep.
87',,0.
Lat.
87}i°.
13
Dep.
LIlt.
87~0.
i
.!l
A
TABLE 4.-TBAVERSE TA.BLE. t:l
~
I
3x(~'
3°.
~I~
1--
~
Dep.
1
1. ()()
0.05
1. ()()
~
~: ~
4 5 6 7
3.99 4. 99 5.99 6.99
8:0.21:g
~: gg
10
~
~:l: 9.99
11 12 13 14
10.98 11.98 12.98 13.98
:~
17 18 19 20
:t:
0.26 0.31 0.37
I
I
8:!~ II 9.98 ~:i:i: 0..'iIl I' 10.98 0.63' 11.98 0.68 II 12.98 0.73 'I 13.98 g:~~ I, :g~ 0.52,1
16.98 17.98 18.97 19.97
0.89116.97 0.94 17.97 0.99 18.97 1. 05 19.97
21 22 23 24
20.97 21. 97 22. 97 23.97
1. 10 1. 15, 1. 20 I 1. 26 i
20.97 21. 96 22. 96 23.96
27 28 29 30
26.96 27.96 28. 96 29.96
1. 41 1.47 1. 52 1. 57
26.96 27.95 28. 95 29.95
30.96
1. 62
30.95
36 37 38 39 40
35. 95 36.95 37.95 38. 95 39. 95
1. 88 1. 94 1.99 2. 04 2. 09
. 41 42 43 44 45 46 47 48 49 50
40.94 41.94 42.94 43.94 44. 94 45.94 46.94 47.93 48.93 49. 9"J
2.15 2.20 2.25 2.30 2.36 2.41 2.46 2.51 2.56 I 2.62
~
31
~ ~
~::
~:~ :tl:~~
I
j
0.28 1' 0.34 ': 0.40'
1. ()()
0.06
1. ()()
~: gg
8:0.24:~
~: gg
3.99 4. 99 5.99 6.99
8:~f:1 9.98 ~:: I,
0.62 10.98 O. C>8 'II 11.98 0.74 ,I 12.98 0.79 :113.97
:~:~
87°.
3.99 4.99 5.99 6.99
0.31 0.37 0.43
t:l
~
Dep. O. 06
8:0.26M aa
O. 0.39 0.46
0.61
8:~
~:: 9.98
0.67 0.73 0.79 0.85
10.98 11.97 12.97 13.97
0.72 0.78 0.85 0.92
1. 10 1. 16 1.22
16.96 17.96 18.96 19.96
1.11 1.18 1. 24 1. 31
:~:~
8:: 1. 04
8:~~
0.65
~:~
~
1 2· 3 4 5 6 7 8 9. 10.
11 12 13 H
15 16 17 18 19 20
1. 19 1. 25 1. 30 1. 36
20.96 21. 96 22. 96 23.96
1. 28 1. 34 1. 40 1. 47
20.96 21. 95 22. 95 23.95
1. 37 1. 44 1. 50 1. 57
1.59 1. 64 1. 70
26. 95 27.95 28. 95 29.94
1.65 1.71 1. 77 1. 83
26. 94 27.94 28. 94 29. 94
1. 77 1.83 1. 90 1.96
1. 76
30.94
1. 89\
30.93
2.03
35. 94 36.94 37.94 38. 94 39. 94
2. 04 2.10 2.15 2. 21 2. 27
35. 93 36.93 37.93 38. 93 39. 93
2. 20; 2.26 2.32 2. 38 2. 44
35. 92 36.92 37.92 38. 92 39. 91
2. 35 2. 42 2.49 2. 55 2. 62
35 36 37 38 39 40,
40.93 41.93 42.93 43. 93 44.93 45.93 46.92 47.92 48.92 49. 92
2.32 2.38 2. 44 2.49 2. 55 2.61 2.66 2.72 2.78 2.83
40.92 41.92 42.92 43. 92 44. 92 45.91 46.91 47.91 48.91 49.91
2.50 2.56 2. 63 2.69 2. 75 2.81 2.87 2.93 2.99 3.05
40.91 41. 91 42.91 43.91 44. 90 45. 90 46.90 47.90 48. 90 49. 89
2.68 2.75 2.81 2.88 2. 94 3. 01 3.07 3.14 3. 20 3. 27
41 42' 43 44 45. 46. 47 48' 49 50
U; 1. 53 U~ ::~
~:~~
~~:~ ~:~
U~
86W.
86'.-10.
14
~:~
~:gf I ~U~ ~:71 i ~:g~
i
T-;:;~I~I~~I~
!
~
Dep.
0.57,
8:gf I 0.96
3"4~.
16.97 17.97 18.96 19.96
~:~ ~n~
I
0.06 1
8:0.23g
I
1. 02 1. 08 1.13
U~ I ~t:;
U~ U~
~
Dep.
3.99 4.99 5.99 6.99
3W.
Dep.
U~
~:n ~:~
Lat.
21 22 23 24 25 26' 27 28. 29 30 31 32 33
34
~
11---RC-')4-'-'- __ ._~_ ..
•
TABLE f.-TRAVERSE TABLE. 3 0•
t)
'"
l --
3W·
t).
3~0.
3)1".
'"
OS
Lat.
Dep.
--- ---
I,at.
Lat.
Dep.
---
---
Dep.
Lat.
Dep.
~
~
--- --
- - ---
51 52 53 54 55 56 57 58 59 60
00.93 51.93 52.93 53.93 54.92 55.92 56.92 07.92 58.92 59.92
2.67 2.72 2.77 2.83 2.88 2.93 2.98 3.04 3.09 3.14
50.92 51. 92 52.91 53.91 54.91 55.91 56.91 57.91 58.91 59.90
2.89 50.90 2.95 51.90 3.00 I 52.90 3.00 53.90 3.12 54.90 3.17 55.90 3.23 56.89 3.29 57.89 3.34 58.89 3.40 59.89
3.11 3.17 3.24 3.30 3.36 3.42 3.48 3.54 3.60 3.66
50.89 51.89 52.89 53.88 54.88 55.88 56.88 57.88 58.87 59.1'!l
3.34 3.40 3.47 3.53 3.60 3.66 3.73 3.79 3.86 3.92
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 00 67 68 69 70
60.92 61.92 62.91 63.91 64.91 65.91 66.91 67.91 68.91 69.90
3.19 3.24 3.30 3.35 3.40 3.45 3.51 3.56 3.61 3.66
60.90 61.90 62.90 63.90 64.90 65.89 66.89 67.89 68.89 69.89
3.46 3.51 3.57 3.63 3.69 3.74 3.80 3.86 3.91 3.97
60.89 61.88 62.88 63.88 f>4.88 65.88 66.88 67.87 68.87 69.87
3.72 3.79 3.85 3.91 3.97 4.03 4.09 4.15 4.21 4.27
60.87 (;1.87 62.87 63.86 04.86 65.86 66.86 67.85 68.85 69.85
3.99 4.05 4.12 4.19 4.25 4.32 4.38 4.45 4.51 4.58
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
70.90 71. 90 72.90 73.90 74.90 75.00 76.89 77.89 78.89 79.89
3.72 3.77 3.82 3.87 3.93 3.98 4.03 4.08 4.13 4.19
70.89 71.88 72.88 73.88 74.88 75.88 76.88 77.87 79.87
4.03 4.08 4.14 4.20 4.25 4.31 4.37 4.42 4.48 4.54
70.87 71.87 72.86 73.86 74.86 75.86 76.86 77.85 78.85 79.85
4.33 4.40 4.46 4.52 4.58 4.64 4.70 4.76 4.82 4.88
70.85 71.85 72.84 73.84 74.84 75.84 76.84 77.83 78.83 79.83
4.64 4.71 4.77 4.84 4.91 4.97 5.04 5.10 5.17 0.23
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87
80.89 81.89 82.89 83.88 84.88 85.88 86.88 87.88 88.88 89.88
4.24 4.29 4.34 4.40 4.45 4.50 4.55 4.61 4.66 4.71
80.87 81.87 82.87 83.86 84.86 85.86 86.86 87.86 88.86 89.86
4.59 4.65 4.71 4.76 4.82 4.88 4.93 4.99 5.05 5.10
80.85 81.85 82.85 83.84 84.84 85.84 86.84 87.84 88.83 89.83
4.94 5.01 5.07 5.13 5.19 5.25 5.31 5.37 5.43 5.49
80.83 81.82 82.82 .83.82 84.82 85.82 86.81 87.81 88.81 89.81
5.30 5.36 5.43 5.49 5.56 5.62 5.69 5.76 5.82 5.89
81 82 83 84 85 86 87 88 89 00
00.88 91.87 92.87 93.87 94.87
4.76 4.81 4.87 4.92 4.97 0.02 5.08 5.13 5.18
90.85 91.85 92.85 93.85 94.85 95.85 96.84 111.84 98.84
5.16 5.22 5.27 5.33 5.39 5.44 5.50 5.56 5.61 5.67
00.83 91.83 92.83 93.82 94.82 95.82 96.82 97.82 98.82 99.81
5.56 5.62 5.68 5.H 5.86 5.86 5.92 5.98 6.04 6.10
00.81 91.86 92.86 93.86 94.86 95.79 96.79 97.79 98.79 99.79
5.95 6.02 6.08 6.15 6.21 6.28 6.34 6.41 6.47 6.54
91 92 93
88 89 90 91 92 93 94
95 00
95. 1fT
99
111.87 98.86
111 98
00. 1fT
100
99.8C
5.23
78.~7
99.84
94
95 96 97 98 99 100
- - --- --- - - - - - - - - - - - - ------ -8 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. j .!i
A
1fT••
861.4·.
~
15
..
86W.
j
A
TABLB f.-TRAVERSB TABLB. tj
r
4~0.
4°.
10
Lat.
Dep.
Lat.
4~0.
Dep.
Lat:
Dep.
------ - - - 1.00 2.00 2.99 3.99 4.99 5.99 6.98 7.98 8.98 9.98
0.07 0.14 0.21 0.28 0.35 0.42 0.49 0.56 0.63 0.70
1.00 1.99 2.99 3.99 4.99 5.9B 6.98 7.98 8.98 9.97
0.07 0.15 0.22 0.30 0.37 0.44 0.52 0.59 0.67 0.74
1.00 1.99 2.99 3.99 4.98 5.98 6.98 7.98 8.97 9.97
0.08 0.16 0.24 0.31 0.39 0.47 0.55 0.63 0.71 0.78
11 12 13 14 15 16 17 18 19 20
10.97 11.97 12.97 13.97 14.96 15.96 16.96 17.96 18.95 19.95
0.77 0.84 0.91 0.98
1.19 1.26 1.33 1.40
10.97 11. 97 12.00 13.96 14.96 15.96 16.95 17.95 18.95 19.95
0.82 0.89 0.96 1.04 1.11 1.19 1.2C> 1.33 1. 41 1.48
10.97 11. 00 12.96 13.96 14.95 15.95 16.95 17 94 18.94 19.94
21 22 23 24 25 26 27 28 29 30
20.95 21.95 22.94 23.94 24.94 25.94 26.93 27.93 28.93 29.93
1.46 1.53 1.60 1.67 1.74 1.81 1.88 1. 95 2.02 2.09
20.94 21. 94 22.94 23.93 24.93 25.93 26.93 27.92 28.92 29.92
1.56 1.63 1. 70 1. 78 1.85 1.93 2.00 2.08 2.15 2.22
31 32 33 34 35 36 37 38 39 10
30.92 31. 92 32.92 33.92 34.91 35.91 36.91 37.91 38.90 39.90
2.16 2.23 2.30 2.37 2.44 2.51 2.58 2.65 2.72 2.79
30.91 31. 91 32.91 33.91 34.90 35.90 36.90 37.90 38.89 39.89
U 42 43 44 45 46 47 48 49 50
40.90 41. 90 42.90 43.89 44.89 45.89 46.89 47.88 48.88 49.88
2.86 2.93 3.00 3.07 3.14 3.21 3.28 3.35 3.42 3.49
40.89 41.88 42.88 43.88 44.88 45.87 46.87 47.87 48.87 49.86
I
~
I,at.
..
tj
Dep.
------
1 2 3 4 5 6 7 8 9 10
Ugl
I I
1.00 1.99 2.99 3.99 4.98 5.98
f
7.97 8.97 9.97
0.08 0.17 0.25 0.33 0.41 0.50 0.58 0.66 0.75 0.83
4 5 6 7 8 9 10
0.86 0.94 1.02 1.10 1.18 1. 26 1.33 1.41 1.49 1.57
10.96 11.96 12.96 13.95 14.95 15.95 16.94 17.94 18.93 19.93
0.91 0.99 1.08 1.16 1.24 1.32 1.41 1.49 1. 57 1.66
11 12 13 14 15 16 17 18 19 20
20.94 21. 93 22.93 23.93 24.92 25.92 26.92 27.91 28.91 29.91
1.65 1. 73 1.80 1.88 1.96 2.04 2.12 2.20 2.28 2.35
20.93 21. 92 22.92 23.92
1.74 1.82 1.90 1.99 2.07 2.15 2.24 2.32 2.40 2.48
21 22 23 24 25 26 27 28 29 30
2.30 2.37 2.45 2.52 2.59 2.67 2.74 2.82 2.89 2.96
30.90 31. 90 32.90 33.90 34.89 35.89 36.89 37.88 38.88 39.88
2.43 2.51 2.59 2.67 2.75 2.82 2.90 2.98 3.06 3.14
39.86
2.57 2.65 2.73 2.82 2.90 2.98 3.06 3.15 3.23 3.31
31 32 33 34 35 36 37 38 39 40
3.04 3.11 3.19 3.26 3.33 3.41 3.48 3.56 3.63 3.71
40.87
3.22 3.30 3.37 3.45 3.53 3.61 3.69 3.77 3.84 3.92
40.86 41.86 42.85 43.85 44.85 45.84 46.84 47.84 48.83 49.83
3.40 3.48 3.56 3.64 3.73 3.81 3.89 3.97 4.06 4.14
41 42 43 44 45 46 47 48 49 50
41.'irl 42.'irl
43.86 44.86 45.86 46.86 47.85 48.85 49.85
6.98
Z4.91
25.91 26.91 27.90 28.90 29.90
I
30.89 31.89 32.89 33.88 34.88 35.88 36.87 37.87 38.'irl
1 2
3
- - - - - - - - - - - --- - - - --- - - - - - - - Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. t
i ~
86°.
85',40.
85~0.
16
I
B5~0.
I ~
TA.BLE .,-TRA. VERSE TABLE,
,0, Lat. 61 52 53 54 55
4~0.
4~O,
Dep.
Lat.
Dep.
Lat.
60
50.88 61.87 52. 87 53.87 54.87 55.86 56.86 57.86 58.86 59.86
3.56 3.63 3.70 3.77 3.84 3.91 3. 98 4. 05 4.12 4.19
50.86 51.86 52.86 53.86 54.86 55.86 56.84 67.84 58.84 59.84
3.78 3.86 3.93 4.00 4.08 4.15 4.22 4.30 4.37 4.45
61 62 63 64 65 66 67 68 69 70
00.86 61.86 02. 86 63.84 64.84 65.84 66.84 67.83 68.83 69.83
4.26 4.32 4.39· 4.46 4.67 4. 74 4.81 4.88
60.83 61.83 62.83 63.82 64.82 65.82 66.82 67.81 68.81 69.81
4.52 4.59 4.67 4.74 4. 82 4.89 4.97 5.04 5.11 5.19
71 72 73 74 75 76 17 78 79 80
70.83 71. 82 72.82 73.82 74. 82 75. 81 76. 81 17. 81 78. 81 79.81
4. 95 5.02 5.09 5.16 5.23 5.30 5. 37 5.44 5. 51 5.58
70.80 71.80 72.80 73.80 74.79 75. 79 76. 79 17.79 78.78 79.78
5.26 5. 34 5. 41 5.48 5.56 5.63 5.71 5. 78 5. 85 5.93
81 82 83 84 86 86 87 88 89 90
80.80 81.80 82.80 83.80 84.79 85.79 86.79 87.79 88. 78 89.78
5.65 5. 72 5.79 5.86 5.93 6.00 6.07 6.14 6.21 6.28
80.78 81.77 82.77 83.77 84.77 85. 76 86.76 87.76 88. 76 89.76
6.00 6.08 6.15 6.23 0.30 6.37 6.45 6. 52 6.00 6.67
91
92
90.78 91. 78
93 94 95 96 97 98 99 100
93. 77 94. 77 95. 77 90. 76 97.76 98.76 99.76
6.35 6. 42 6.49 6.56 6.63 6.70 6. 77 6.84 6. 91 6.98
90.75 91. 75 92. 74 93. 74 94.74 95. 74 90.73 97.73 98. 73 99.73
6. 74 6. 82 6.89 6.97 7.04 7.11 7.19 7.26 7.34 7.41
56 57 58 59
::~
92.77
i
I
I
~
86 0•
~1'79-1~2
Dep.
50.84 51.84 52.84 53.83
Lat.
Dep.
4.00 4.08 4.16 4.24 4.32 4.39 4.47 4.55 4.63 4.71
50.82 51.82 52. 82 53. 81 54.81 55. 81 56.80 67.80 58.80 59.79
4.22 4.31 4.39 4.47 4.55 4.64 4.72 4.80 4.89 4. 97
51 52 53 54 55
I ~nt
62.81 63.80 64.80 65.80 66.79 67.79 68.79 69.78
4. 79 4.86 4.94 5.02 5.10 5.18 5.26 5.34 5. 41 5. 49
60.79 61. 79 62. 78 63.78 64.78 65.77 66.77 67.77 68.76 69.76
5. 05 6.13 5.22 5.30 5.38 5.47 5.55 5. 63 5.71 5.80
61 62 63 64 65 66 67 68 69 70
70.78 71. 78 72.17 73.77 74. 77 75. 77 76.76 17. 76 78. 76 79.75
5. 57 5.65 5. 73 5. 81 5.88 5.96 6.04 6.12 6.20 6.28
70.76 71.75 72. 76 73. 75 74. 74 75. 74 76.74 77. 73 78. 73 79.73
5.88 5.96 6.04 6.13 6.21 . 6.29 6.38 6.46 6.54 6.62
71 72 73 74 75 76 77 78 79 80
80.75 81. 75 82. 74 83.74 84.74 85. 73 86.73 87.73 88.73 89.72
6.36 6.43 6. 51 6.59 6.67 6. 75 6.83 6.90 0.98 7.06
80.72 81. 72 82. 71 83.71 84. 71 85. 70 86.70 87.70 88.69 89.69
6.71 6.79 6.87 6.96 7.04 7.12 7.20 7.29 7.37 7.45
81 82 83 84 85 86 87 88 89 90
90.72 91. 72 92.71 93. 71 94. 71 95. 70 90. 70 97.70 98. 69 99.69
7.14 7.22 7.30 7.38 7.45 7.53 7.61 7.69 7.77 7.86
90.69 91. 68 92.68 93.68 94.67 95. 67 96.67 97.66 98. 66 99.66
7.54 7.62 7.70 7.78 7.87 7.95 8.03 8.12 8.20 8.28
91 92 93 94 95 96 97 98 99 100
54.83
55.83 56.82 57.82 58.82 59.82
I
I
T-;;.- -;;.- -;;.~
4~·.
~
~ -;;'-I~
86~0.
85"-4'.
17
86~0.
56 57 58 59 60
j ~
TABLB t.-TBA. VERSB TABL.. ti
f
~
5·.
Lat.
Dep.
Lat.
..
5~·.
Dep.
- - - - - - - - - - - ---
Dep.
Lat.
..
ti
Dep.
f
------ - - --- - -
7 8 9 10
6
1.00 1.99 2.99 3.98 4.98 6.98 6.97 7.97 8.97 9.96
0.09 0.17 0.26 0.35 0.44 0.52 0.61 0.70 0.78 0.87
1.00 1.99 2.99 3.98 4.98 6.97 6.97 7.97 8.96 9.96
0.09 0.18 0.27 0.37 0.46 0.66 0.64 0.73 0.82 0.92
1.00 1.99 2.99 3.98 4.98 5.97 6.97 7.96 8.96 9.95
0.10 0.19 0.29 0.38 0.48 0.58 0.67 0.77 0.86 0.96
0.99 1.99 2.98 3.98 4.97 5.97 6.96 7.96 8.95 9.96
0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10.96 11.95 12.95 13.95 14.94 15.94 16.94 17.93 18.93 19.92
0.96 1.05 1.13 1.22 1.31 1.39 1.48 1.57 1.66 1.74
10.95 11.95 12.95 13.94 14.94 15.93 16.93 17.92 18.92 19.92
1.01 1.10 1.19 1. 28 1. 31 1.46 1.56 1.65 1.74 1.83
10.95 11.94 12.94 13.94 14.93 15.93 16.92 17.9'2 18.91 19.91
1.05 1.15 1.25 1.34 1.44 1.53 1.63 1.73 1.82 1.92
10.94 11.94 12.93 13.93 14.92 15.92 .16.91 17.91 18.90 19.90
1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28
20.92 21.92 22.91 23.91 24.90 25.90 26.90 27.89 28.89 29.89
1.83 1.92 2.00 2.09 2.18 2.27 2.35 2.44 2.53 2.61
20.91 21.91 22.90 23.90 24.90 25.89 26.89 27.88 28.88 29.87
1.92 2.01 2.10 2.20 2.29 2.38 2.47 2.56 2.65 2.75
20.90 21.90 22.89 23.89 24.88 25.88 20.88 27.87 28.87 29.86
2.01 2.11 2.20 2.30 2.40 2.49 2.59 2.68 2.78 2.88
20.89 21.89 22.88 23.88 24.87 25.87 26.86 27.86 28.85 29.85
2.10 2.20 2.30 2.40 2.50 2.00 2.71 2.81 2.91 3.01
21 22 23 24 25 26 27 28 29 30
30.88 31.88 32.87 33.87 34.87 35.86 36.86 37.86 38.85 39.85
2.70 2.79 2.88 2.96 3.05 3.14 3.22 3.81 8.40 3.49
30.87 31.87 32.86 33.86 34.85 35.85 36.84 37.84 38.84 39.83
2.84 2.93 3.02 3.11 3.20 3.29 3.39 3.48 3.57 3.66
30.86 31. 85 32.85 33.84 34.84 35.83 36.83 37.83 38.82 39.82
2.97 3.07 3.16 3.26 3.35 3.45 3.66 3.64 3.74 3.83
30.84 31. 84 32.83 33.83 34.82 35.82 36.81 37.81 38.80 39.80
3.11 3.21 3.31 3.4! 3.51 3.61 3.71 3.81 3.91 4.01
31 32 33 34 35 36 37 38 39 40
40.84 41.84 42.84 43.83 44.82 45.82 46.82 47.82 48.81 49.81
3.57 3.66 3.75 3.83 3.92 4.01 4.10 4.18 4.2i 4.36
40.83 41. 82 42.82 43.82 44.81 45.81 46.80 47.80 48.79 49.79
3.75 3.84 3.93 4.03 4.12 4.21 4.30 4.39 4.48 4.58
40.81 41.81 42.80 43.80 44.79 45.79 46.78 47.78 48.77 49.77
3.93 4.03 4.12 4.22 4.31 4.41 4.50 4.60 4.70 4.79
40.79 41. 79 42.78 43.78 44.77 45.77 46.76 47.76 48.75 49.75
4.11 4.21 4.31 4.41 4.51 4.61 4.71 4.8; 4.91 5.01
41 42 43 44 45 46 47 48 49 50
I 2 3 4 5
29
30 31 32 33 34 35 36 37 38
39 40
41 42 43 44
45
-
Lat.
~
46 47 48 49 50
- - - ---
~
!A
Dep.
Lat.
-
--- --- --- -_. - - - --- -Dep.
Lat.
Dep.
Lat.
Dt>p.
Lat.
8
j 85°.
I
84~·.
84~·.
18
84~·.
.!I
A
TABLIl t.-TBAVBBSJ: 'lABLE. 6
II
0 •
Lat.
Dep.
~o. ----__-------~-----II·----~----, Lat.
Lat.
Dep.
Lat.
4.67 4.76 4.85 4.94 6.03 5.12 5.22 6.31 5.40 6.49
50.77 61. 76 52.76 53.75 M.76 66.74 66.74 67.73 5&73 69.72
4.89 4.98 6.08 5.18 .6.27 5.37 6.46 6.56 6.65 6.75
50.74 51. 74 52.73 63.73 M.72 66.72 56.71 67.71 liS. 70 69.70
6.11 6.21 6.31 6.41 6.51 6.61 6.71 6.81 6.91 6.01
51 52 53
60.69 61.69 62.68 63.68 64.67 65. 67
67.66 68.65 69.65
6.11 6.21 6.31 6.41 6.51 6.61 6.71 6.81 6.91 7.01
61 62 63 64 65 66 67 68 69 70
72 73 74 76 76 77 78 79 80
Dep.
Dep.
51 52 53 M M .56 57 liS 69 60
ro.81 61.80 52.80 53.79 M.79 66.79 66.78 67.78 liS. 78 69.77
4.44 4.53 4.62 4.71 4.79 4.88 4.97 6.06 6.14 6.23
61 62 63 64 65 66 67 68 69 70
60.77 61.76 62.76 63.76 64.76 65.75 66.75 67.74 68.74 69.73
60.74 6.32 6.40 61. 74 6.49 , 62.74 6. liS ! 63.73 6.67 6.75 i ~U~ 66.72 6.84 67.71 6.93 68.71 6.01 6.10 69.71
6. liS 5.67 5. 76 1 5.86 , 6. 95 1 6.04 6.13 6.22 6.31 6.41
00.72 61. 71 62.71 63.71 64.70 65.70 66.69 67.69 68.68 69.68
6.85 6.94 6.04 6.13 6.23 6.33 6.42 6.62 6.61 6.71
71 72 73 74 75 76 77 78 79 80
70.73 71.73 72.72 73.72 74.71 76.71 76. 71 77.70 78.70 79.70
70.70 71. 70 72.69 73.G9 74.00 75.68 6.71 I' 76.fJ8 77.67 6.80 6.89 78.G7 79.66 6.97
6.50 6.69 6.68 6.77 6.86 6.95 7.05 7.14 7.23 7.32
70.67 71.67 72.66 73.66 74.65 75.65 76.65 77.64 78.64 79.63
6.81 6.90 7.00 7.00 7.19 7.28 7.38 7.48 7.57 7.67
70.64 71.64 72.63 73.63 74.62 75.62 76.61 77.61 78.60 79.60
7.11 7.21 7.31 7.41 7.61 7.61 7.71 7.81 7.g1 8.02
81 82 83 84 85
80.69 81.69 82.68 83.68 84.68
7.41 7.50 7.69 7.69 7.78 7.87 7.Q6 8.05 8.14 8.24
80.63 81. 62 82.62 83.61 84.61 85.60 86.00 87.li9 88.69 89.59
7.76 7.86 7.96 8.05 8.15 8.24 8.34 8.43 8.53 8.63
86.56 87.56 88.M 89.M
8.12 8.22 8.32 8.42 8.62 8.62 8.72 8.82 8.92 9.02
81 82 83 84 85
87.67 88.66 89.66
80.66 81.66 82.65 83.65 84.64 85.64 86.64 87.63 88.63 89.62
80.59 81.59 82. liS 83. liS 84.57
86 fr1 88 89 90
7.06 7.15 7.23 7.32 7.41 7.50 7. liS 7.67 7.76 7.84
91 92 93 94 96 Q6
90.65 91.65 92.65 93. 64 94. 64 95.63
7.93 8.02 8.11 8. 19 8.28 8.37
90.62 91.61 92.61 93. 61 94.60 85.60
8. 33 8.42 8.61 8. 60 8.69 8.78
9O.liS 91.liS 92.67 93. 57 94.56 95.56
8.72 8.82 8.91 9. 01 9.11 9.20
90. M 91.M 92.53 93. 53 94.52 95.52
9.12 9.12 9.32 9. 42 9.52 9.62
91 92 93 94
85.67 86.67
:99
~:~ 98.62
100
99.62
50.79 51. 78 52.78 53.77 64.77 M.77 66.76 67.76 liS. 75 69.75
6.19 6.28 6.36 6.45
g:~
::~ 8.6.1
I 98.liS ~::
8.72
99.liS
::~ 9.06
~:~ 98.M
9.15
99. M
66.66
85.57
UJ 9.49
~:gt 98.ro
U~ 9.g2
9.liS
99.50
10.02
- - - - - - - - --- - - - - - - --- ---Lat. Dep. Dep.\ .Lat. 1·,_D_ep.---,,--La_t_'_'I' Dep. ~~..
85·.
84~0.
! l~
M
M
56 67 liS 69 60
n
86 87 88 sg 10
9li
98
:99 100
--Lat.
TABLI f.-TRA.Vlal TABLI. ~
J - - --Lat.
i
:
~o.
6°.
II'
Dep.
Lat.
~o.
nap.
Lat.
~
nap.
Lat.
I
..
~
Dep.
f
!l
- - - - - - --- - - - - - - - -
I 2 3 4 5 6 7 8 9 10
0.99 1.99 2.98 3.98 4.97 6.97 6.96 7.96 8.95 9.95
0.10 0.21 0.31 0.42 0.52 0.63 0.73 0.84 0.94 1.05
0.99 1.99 2.98 3.98 4.97 5.96 6.96 7.95 8.95 9.94
0.11 0.22 0.33 0.44 0.54 0.65 0.76 0.87 0.98 1.09
0.99 1.99 2.98 3.97 4.97 5.96 6.96 7.95 8.94 9.94
0.11 0.23 0.34 0.45 0.57 0.68 0.79 0.91 1.02 1.13
0.99 1.99 2.98 3.97 4.97 6.96 G.95 7.94 8.94 9.93
0.12 0.24 0.35 0.47 0.59 0.71 0.82 0.94 1.06 1.18
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10.94 11.93 12.93 13.92 14.92 16.91 16.91 17.00 18.00 19.89
1.15 1.25 1.36 1.46 1.57 1.67 1.78 1.88 1.99 2.09
10.93 11.93 12.92 13.92 14.91 15.00 16. 00 17.89 18.89 19.88
1.20 1.31 1.42 1.52 1.63 1.74 1.85 1.96 2.07 2.18
10.93 11.92 12.92 13.91 14.00 15.00 16.89 17.88 18.88 19.87
1.25 1.36 1.47 1.58 1.70 1.81 1.92 2.04 2.15 2.26
10.92 11.92 12.91 13.00 14.00 15.89 16.88 17.88 18.87 19.86
1.29 1.41 1.63 1.65 1.76 1.88 2.00 2.12 2.23 2.35
11 12 13 15 16 17 18 19 20
21 22 23 24 2Ii 26 27 28 29 30
20.88 21.88 22.87 23.87 24.86 25.86 26.85 27.85 28.84 29.84
2.20 2.30 2.40 2.61 2. 61 2.72 2.82 2.93 3.03 3.14
20.88 21.87 22.86 23.86 24.85 25.85 26.84 27.83 28.83 29.82
2.29 2.40 2.50 2.61 2.72 2.83 2.94 3.05 3.16 3.27
20.87 21.86 22.85 23.85 24.84 25.83 26.83 27.82 28.81 29.81
2.38 2.49 2.50 2.72 2.83 2.94 3.06 3.17 3.28 3.40
20.85 21.85 22.84 23.83 24.83 25.82 26.81 27.81 28.80 29.79
2.47 2.69 2.70 2.82 2.94 3.06 3.17 3.29 3.41 3.63
21 22 23 24 25 26 27 28 29 30
31 32 33 34 36 36 37 38 89 «I
30.83 31.82 32.82 33.81 34.81 35.80 36.80 37.79 38.79 39.78
3. 24 3.34 3.45 3.65 3.66 3.76 3.87 3.97 4.08 4.18
30.82 31.81 32.80 33.80 34.79 35.79 36.78 37.77 38.77 39.76
3.37 3.48 3.69 3.70 3.81 3.92 4.03 4.14 4.25 4.35
30.80 31.79 32.79 33.78 34.78 35.77 36.76 37.76 38.75 39.74
3.61 3.62 3.74 3.85 3.96 4.08 4.19 4.30 4.41 4.63
30.79 31.78 32.77 33.76 34.76 35.75 36.74 37.74 38.73 39.72
3.64 3.76 3.88 4.00 4.11 4.23 4.35 4.47 4.58 4.70
31 82 33 34 36 37 38 39 «I
41
40.78 41.77 42.76 43.76 44.75 46.75 46.74 47.74 48.73 49.73
4.29 4.39 . 4.49 4.50 4.70 4.81 4.91 5.02 5.12 5.23
40.76 41.75 42.74 43.74 44.73 45.73 46.72 47.71 48.71 49.70
4.46 4.67 4.68 4.79 4.00 5.01 6.12 5.23 5.33 5.44
40.74 41.73 42.72 43.72 44.71 46.70 46.70 47.69 48.69 49.68
4.64 4.75 4.87 4.98 0.09 5.21 5.32 5.43 5.65 6.66
40.72 41. 71 42.70 43.70
4.82 4.94 5.05 5.17 5.29 5.41 5.52 5.64 5.76 5.88
41 42 43 44 46 46 47 48 49 50
42
43 44 45
046 47 48 49 50
--- - -: Dep. !:l
~
Jii ~
Lat.
.84 0•.
44.69
46.68 46.67 47.67 48.66 49.65
14
35
- - - - - - - - - --- - DeP.1 Lat. 83,,0.
Dep. 83~o.
Lat.
Dep.
Lat.
83~· •
S
!
~
----- - - - - - - - - -
'fABLB 4.--TBJ. VEBSB TABLE.
i
~o.
6°.
I::l
6',40.
6).2°.
f
II
Lat.
hi & 63 M 55 56 h7 68 59 60
liD. 72 61.72 &.71 63.70 M.70 55. 69 56.69 67.68 118.68 59.67
6.33 5. 44 6.M 6.64 6. 75 5.85 6.00 6.06 6.17 6.27
liD. 70 61.69 &.68 63.68 54.67 55.67 56.66 57.66 I18.M 59.64
5.55 6.66 5. 77 6.88 6.99 6.10 6.21 6.31 6.42 6.63
liD. 67 61.67 &.66 63.M 54.M 55.64 56.63 67.63 118.62 69.61
5. 77 5.89 6.00 6.11 6.23 6.34 6.46 6.57 6.68 6.79
liO.M 61.64 &.63 63.63 54.62 55.61 56.60 67.60 118.59 59.118
5.99 6.11 6.23 6.35 6.46 6.56 6.70 6.82 6.93 7.05
hi & 63 M 55 56 67 118 59 60
61 62 63 64 M 66 67 68 69
60.67 61.66 62.M 63.M 64.64 G6.64 66.63 67.63 68.62 69.62
6.38 6.48 6.59 6.69 6.79 6.00 7.00 7.11 7.21 7.32
60.64 61.63 62.63 63.62 .64.61 65.61 66.60 67.60 68.59 69.118
6.64 6.75 6.86 6. 97 7.08 7.19 7.29 7.40 7.51 7.62
60.61 61.60 62.60 63.59 64.118 65.118 66.57 67.56 68.56 69.55
6. 91 7.02 7.13 7.25 7.36 7.47 7.118 7.70 7.81 7.92
60.68 61.67 62,56 63.56 64.55 M.M 66.M 67.63 68.& 69.61
7.17 7.29 7.40 7.& 7.64 7.~ 7. 7.99 8.11 8.23
61 62 63 64 M 66 67 68 69 70
7.42 7.63 7.63 7.74 7.84 7.94 8.05 8.15 8.26 8.36
70.68 71.57 72.67 73.56 74.55 75.55 76.M 77.M 78. 63 79.63
7.73 7.84 7.95 8.06 8.17 8.27 8.38 8.49 8.60 8.71
70.M 71.M 72.63 73.& 74.& 75. 51 76.51 77. liD 78.49 79.49
8.04 8.15 8.26 8.38 8.49 8.60 8.72 8.83 8.94 9.06
70.61 71. liD 72.49 73.49 74.48 76.47 76.47 77.46 78.46 79.46
8.M 8.46 8.118 8.70 8.82 8.93 9.05 9.17 9.29 9.40
71 72 73 74 76
80
70.61 71.61 72.60 73.59 74.59 75.118 76.118 77.67 78.67 79.56
81 82 83 84 85 86 87 88 89 00
80.56 81.55 82.55 83.M 84.63 85.63 86.& 87.& 88.51 89.51
8.47 8.&7 8.68 8.78 8.88 8.99 9.09 9.30 9.41
80.& 81.51 82.51 83. liD 84. liD 85.49 86.48 87.48 88.47 89.47
8.82 8.93 9.04 9.14 9.25 9.36 9.47 9.118 9.69 9.80
80.48 81. 47 82.47 83.46 84.45 85.45 86.44 87.43 88.43 89.42
9.17 9.28 9.40 9.51 9.62 9.74 9.85 9.00 10.08 10.19
80.44 81.43 82.42 83.42 84.41 85.40 86.40 87.39 88.38 89.38
9.& 9.64 9.76 9.87 9.99 10.11 10.23 10.34 10.46 10.68
91 92
00. liD 91. liD 92.49 93.49 94.48 95.47 96.47 97.46
9.61 9.62 9.72 9.83 9.93 10.03 10.14 10.24 10.35 10.45
1¥l.46 91. 45 92.45 93.44 94.44 95. 43 00.42 97.42 98.41 99.41
9.91 10.02 10.12 10.23 10.34 10.45 10.56 10.67 10.78 10.89 ---
90.42 91.41 92.40 93.40 94.39 95.38 00.38 97.37 98.36 99.36
10.30 10.41 10.63 10.64 10.75 10.87 10.98
90.37 91.36 92.36 93.35 94.34 95.33 00.33 97.32 98.31 99.31
10.70 10.81 10.93 11.05 11.17 11.28 11.40 11.62 11.64 11.75
Dep.
Lat.
Dep.
-- --- - - - - - - - -
70 71 72 73 74 76 76 77 78
79
~
94 95 96
'¥1 98
99 100
98.~6
99.45
9.~
- - --- - - - - - t Dep. Lat. Dep. ~
J1l A
84°.
Dep. --- - Lat.
1l.09
11.21 11.32
Dep.
83~·.
Lat.
83).2°.
21
~
--- - - - - -
--- ---
Lat.
Dep.
Lat.
,
Ii'
Dep.
I
:
76
77 78 N 80 81 82 83 84 85 86 87
88
89 00
~
93 94 95
96 97
98
99 100
-Lat.
~o.
8 : ~
:;
A
,
TABLE f.-TRAYBRSE TABLB. t::!
7°.
Ir
I
--
Lat.
Dep.
Lat.
--- - - -
m··
7~0.
7)1.°.
Lat.
Dep.
---
Dep.
Lat.
Dep.
I ~
--- --- ------ - -
I 2 3 4 5 6 7 8 9 10
0.99 1.99 2.98 3.97 4.96 5.96 6.95 7.94 8.93 9.93
0.12 0.24 0.37 0.49 0.61 0.73 0.85 0.97 1.10 1.22
0.99 1.98 2.98 3.97 4.96 5.95 6.94 7.94 8.93 9.92
0.13 0.25 0.38 0.00 0.63 0.76 0.88 1.01 1.14 1.26
0.99 1.98 2.97 3.97 4.96 5.95 6.94 7.93 8.92 9.91
0.13 0.26 0.39 0.62 0.65 0.78 0.91 1.04 1.17 1.31
0.99 1.98 2.97 3.96 4.95 5.95 6.94 7.93 8.92 9.91
0.13 0.27 0.40 0.54 0.67 0.81 0.94 1.08 1.21 1.35
1 2 3 4 5 6 7 8 9 10
11
10.92 11.91 12.90 13.90 14.89 15.88 16.frl 17.frl 18.86 19.85
1.34 1.46 1.68 1. 71 1.83 1.95 2.07 2.19 2.32 2.44
10.91 11.90 12.90 13.89 14.88 15.frl 16.86 17.86 18.85 19.84
1.39 1.61 1.64 1. 77 1.89 2.02 2.15 2.27 2.40 2.62
10.91 11.90 12.89 13.88 H.frl 15.86 16.85 17.85 18.84 19.83
1.44 1.67 1. 70 1.83 1.96 2.09 2.22 2.35 2.48 2.61
10.90 11.89 12.88 13.frl 14.86 15.85 16.84 17.84 18.83 19.82
1.48 1.62 1. 75 1.89 2.02 2.16 2.29 2.43 2.56 2. 70
11 12 13 14 15 16 17 18 19 20
20.84 21.84 .22.83 23.82 24.81 25.81 26.81 27.79 28.78 29.78
2.56 2.68 2.81 2.92 3.05 3.17 3.29 3.41 3.& 3.66
20.83 21.82 22.82 23. 81 24.81 25.79 26.78 27.78 28.77 29.76
2.65 2.78 2.90 3.03 3.15 3.28 3.41 3.& 3.66 3.79
20:82 21.81 22.81 23.79 24.79 25.78 26.77 27.76 28.75 29.74
2.74 2.frl 3.00 3.13 3.26 3.39 3.62 3.65 3.79 3.92
20.81 21.81 22.79 23.78 24.77 25.76 26.75 27.74 28.74 29.73
2.83 2.97 3.10 3.24 3.37 3.51 3.64 3.78 3.91 4.05
21 22 23 24 25 26 27 29 30
30.77 31.76 32.75 33.75 34.74 35.73 36.72 37.72 38.71 39.70
3.78 3.90 4.02 4.14 4.27 4.39 4.61 4.63 4.75 4.frl
30.75 31. 74 32.74 33.73 34.72 36.70 37.70 38.69 39.68
3.91 4.04 4.16 4.29 4.42 4.54 4.67 4.81 4.92 5.05
30.73 31.73 32.72 33.71 34.70 35.69 36.68 37.67 38.67 39.66
4.05 4.18 4.31 4.44 4.57 4.70 4.83 4.96 5.09 5.22
30.72 31. 71 32.70 33.69 34.68 35.67 36.66 37.65 38.64 39.63
4.18 4.32 4.45 4.68 4.72 4.85 4.99 5.12 5.26 5.39
31 32 33 34 35 36 37 38 39 40
40.69 41.69 42.68 43.67 44.67 45.66 46.65 47.64 48.63 49.63
6.00 6.12 6.24 5.36 5.48 5.61 5.73 5.85 5.97 6.09
40.67 41. 66 42.66 43.65 44.64 45.63 46.62 47.62 48.61 49.60
5.17 5.30 5.43 5.55 5.68 5.81 5.93 6.00 6.18 6.31
40.65 41.64 42.63 43.62 44.62 45. 61 46.60 47.59 48.68 49.57
5.85 5.48 5.61 5.74 5.frl 6.00 6.13 6.27 6.40 6.53
40.63 41.62 42.61 43.60 44.59 45.68 46.57 47.56 48.55 49.54
5.53 5.66 5.81 5.93 6.07 6.20 6.34 6.47 6.61 6.74
41
12 13 14 15 16 17 18 19 20
21
22 23 24 25 26 27 28 29
30 31 32 33 34 35 36 37 38 39 40
41 42 43 44 45
46 47 48 49 00
35.71
28
42 43 44 45 46 47 48 49 00
- - --- - - - - - - --- - - - --- --- - - - - 8
Lat.
Dep.
j
.!I
A
sa·.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
~
S
82'4 0•
82~·.
22
82)1.·.
.!!l
A
TAKE 4.-TIUVJlBSE TABLE.
e
m·.
7°.
S'
g ~
Lat.
61 62 53 M" 66 56 67 58 Ii9 60
50.62 51. 61 62.60 53.60 54.59 55.58 56.58 67.57 58.56 69.65
6.82
61 62 63 64 66 66 67 68 69 70 71
Dep.
Lat.
Dep.
Lat.
- - --- --- - - - -
e
7~·.
7~0.
Dep.
- - - ---
Lat.
(
Dep.
~
--- --- - -
6. 96 7.07 7.19 7.31
5O.1i9 51.58 62.58 53.57 M.56 55.66 56.54 57.54 58.53 69.62
6.44 6.56 6.69 6.81 6.94 7.07 7.19 7.32 7.45 7.57
50.56 51.56 52. 66 53.54 54.53 55. 52 56.51 67.50 58.50 69.49
6.66 6.79 6. 92 7.05 • 7.18 7.31 7.44 7.57 7.70 " 7. sa
50.53 61. 53 62.62 53.61 54.50 55. 49 56.48 57.47 58.46 69.45
6.88 7.01 7.15 7.28 7.42 7.66 7.69 7.82 7.96 8.011
61 62 53 54 66 56 67 58 59 60
60.65 61.54 62.53 63.62 64.62 65. 51 66.50 67.49 68. 49 "69.48
7.43 7.56 7.68 7. SO 7.92 8.04 8.17 8.29 8. 41 8.53
60.51 61.50 62.50 63.49 64.48 65.47 66.46 67.46 68.45 69.44
7.70 7.82 7.95 8.08 8.20 8.33 8.46 8.58 8.71 8. sa
60.48 61.47 62. 46 63.46 64.44 65.44 66.43 67.42 68. 41 69.40
7.96 8.011 8.22 8.35 8. 48 8. 61 8. 76 8.88 9.01 9.14
60.44 61.43 62.42 63.42 64. 41 65.40 66.39 67.38 68.37 69.36
8.23 8.36 8.50 8.63 "8. 77 8.90 9.04 9.17 9.30 9.44
61 62 63 64 65 66 67 68 69 70
70.47 71.46 72. 46 73.45 74. 44 "75. 43 76.43 77.42 78. 41 79.40
8.65 8. 77 8.90 9.02 9.14 9.26 9.38 9.61 9.63 9.76
70.43 71.42 72. 42 73. 41 74.40 75. 39 76.38 77.38 78. 37 79.36
8.96 9.011 9.21 9.34 9.46 9.69 9.72 9.84 9.97 10.10
70.39 71.38 72.38 73.37 74.36 75. 35 76. 34 77.33 78. 32 79.32
9.27 9.40 9.53 9.66 9.79 9.92 10.05 10.18 10.31 10.44
70.35 71.34 72.33 73. 32 74. 31 75.31 76. 30 77.29 78.28 79.27
9.57 9.71 9.84 9.98 10.11 10.25 10.38 10.62 10.65 10.79
71 72 73 74 75 76 77 78
84 85 86 87 88 89 90
80.40 81.39 82.38 83.37 84.37 85.36 86.35 87.34 88.34 89.33
9.87 9.99 10.12 10.24 10.36 10.48 10.60 10.72 10.85 10.97
SO. 35 81.34 82.34 sa. 33 84.32 85. 31 86.30 87.30 88.29 89.28
10.22 10.35 10. 47 10.60 10.73 10.85 10.98 11.11 11.23 11. 36
80.31 81.30 82.29 83.28 84.27 85.26 86.26 87.25 88.24 89.23
10.57 10.70 10. sa 10.96 11.011 11.23 11. 36 11.49 11.62 11.75
80.26 81. 25 82. 24 sa. 23 84.22 85. 21 86.21 87.20 88.19 89.18
10.92 11.06 11.19 11.33 11.46 11.60 11. 73 11. 87 12.00 12.14
91 92 93 94 95 96 97 98 99 100
90.32 91.31 92.31 93.30 94.29 95.28 96.28 97.27 98. 26 99.25
11.011 11.21 11.33 11.46 11.58 11.70 11.82 11.94 12.07 12.19
90.22 91.21 92.20 93. 20 94.19 95. 18 96.17 97.16 98.15 99.14
11.88 12.01 12.14 12.27 12. 40 12.53 12.66 12.79 12.92 13.05
90.17 91.16 92.15 93.14 94.13 95.12 96.11 97.10 98.10 99.011
12. 27 12.41 12.M 12.68 12. 81 12. 95 13. 08 13.22 13.35 13. 49
72 73 74 75 76 77 78
79 80 81 82
sa
6.22 6.34 6.46 6.58 6. 70
- - ------
I A
Dep.
sao.
Lat.
90.27 11.48 91.26 11.61 92.26 11.74 93. 25 11.86 94. 24 11.99 95. 23 12.12 96.22 12.24 97.22 12.37 98. 21 12. 49 99.20 12.62 --- ---
Dep.
79 SO 81
82
sa
84 85 86 87 88 89 90 91 92 93 94 96 96 97 98 99 100
- - - - - - - - --- - -
Lat.
Dep.
Lat.
82~·.
~o.
I
23
Dep.
Lat.
82~·.
§ ~
A
TABLE f.-TIU.V&&SB T.uLE. t:t
f
Lat.
Lat.
Lat.
Dep.
Dep.
Lat.
Dep.
---------
1 2 3 4
0.99 1. 98 2.97 3.96 4.95 5.94 6.93 7.92 8.91 9. 90
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
0.14 0.28 0.42 0.1i6 0.70 0.84 0.97 1.11 1.25 1.39
i
0.99 1.98 2.97 3.96 4.96 5.94 6.93 7.92 8.91 9.90
0.14 0.29 0.43 0.57 0.72 0.86 1.00 1.15 1. 29 1.43
0.99 1.98 2.97 3.00 4.95 5.93 6.92 7.91 8.90 9.89
0.15 0.30 0.44 0.69 0.74 0.89 1.03 1.18 1.33 l.fS
0.99 1.98 2.97 3.96 4.94 5.93 6.92 7.91 8.90 9.88
0.15 0.30 0.46 0.61 0.76 0.91 1.00 1.22 1.37 1.62
1 2 3 4 5 6 7 8 9 10
10.89 11.88 12.87 13. 86 14.84 15.83 16.82 17.81 18.80 19.79
1.58 1.72 1.87 2.01 2.15 2.30 2.44 2.58 2. 73 2.87
10.88 11.87 12.86 13. 85 14. 84 15.82 16.81 17.80 18. 79 19.78
1.63 1. 77 1.92 2.07 2.22 2.36 2.51
10.87 11.86 12.85 13.84 14.83 15.81 16.80 17.79 18.78 19.77
1.67 1.83 1.98 2.13 2.28 2.43 2.59 2.74 2.89 3.04
11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
13.86 14.85 15. 84 16.83 17.82 18.82 19.81
1.53 1.67 1.81 1.95 2.09 2.23 2.37 2.51 2.64 2.78
20.80 21.79 22.78 23.77 24.76 25.75 26.74 27.73 28.72 29.71
2.92 3.06 3.20 3.34 3.fS 3.62 3.76 3.90 4.04 4.18
20.78 21.77 22.76 23.75 24.74 25.73 26.72 27.71 28.70 29.69
3.01 3.16 3.30 3.44 3.59 3.73 3.87 4.02 4.16 4.30
20.77 21.76 22.75 23.74 24.73 25.71 26.70 27.69 28.68 29.67
3.10 3.25 3.40 3.55 3.70 3.84 3.99 4.14 4.29 4.43
20.76 21.74 22.73 23.72 24.71 25.70 26.69 27.67 29.65
3.19 3.35 3.50 3.65 3.80 3.96 4.11 4.26 4. 41 4.1i6
30.70 31.69 32.68 33.67 34.66 35.65 36.64 37.63 38.62 39.61
4. 31 4.45 4.59 4. 73 4.87 5.01 5. 15 1 5.29 5. 43 I 5. 57 .
30.68 31.67 32.66 33.65 34.64 35.63 36.62 37.61 38.60 39.69
4. 45/ 4.59 4.74 4.88 5.02 5.17 5.31 5.45 1 5.60 I). 74
30.66
33 34 35 36 37 38 39 40
31.65 32.64 33.63 34.62 35.60 36.59 37.58 38.67 39.1i6
4.58 4.73 4.88 5.03 5.17 5. 32 5. 47 5.62 5. 76 5.91
30.64 31.63 32.62 33.60 34.59 35.58 36.57 37.1i6 38.55 39.63
4.72 4.87 5.02 5.17 5.32 5.fS 5.63 5.78 5.93 6.08
31 32 33 34 35 36 37 38
41 42 43 44 45 46 47 fS <9 50
40. 60 5. 71 41.59 5.85 42. 58 5. 98 43. 57 6. 12 44. Ii6 6.26 45. 55 6. 40 46.64 6.64 47.53 6.68 fS.52 6.82 49.51 _6.96
40. 58 41.57 42. 55 43. 64 44. 63 45. 52 46.51 47.50 fS.49 49.48
6.88 6.03 6. 17 6.31 6.46 6. 60 6.74 6.89 7.03 7.17
40. 55 41.64 42. 63 43.52 44.51 45. 49 46. fS 47.47 48.46 49.45
6. 00 40. 62 6.2141.51 6. 36 42. 50 6.50 43.49 6.65 44. fS 6. 80 45. 46 6. 95 46.45 7.09 47.44 7.24 fS.43 7.39 49.42
6. 24 6.39 6. 64 6.69 6.85 7. 00 7.15 7.30 7.45 7.61
41 42 43 44 45 46 47 fS 49 50
10.89
28
29 30 31 3:.l
~
~
I
~U~ I
21 22 23 .24 25 26 27
_
Dep.
$(0.
8~·.
8W·
8°.
I
1
'Dep. 82°.
28.66
-1-----
Lat. 1 Dep. J
2.66
2.81 2.96
Lat.
81W·
Dep.
1
24
Lat.
81W·
Dep.
Lat.
81~0.
28
29 30
39
40
-~
~
, ~
TABLB •. -TBAVUSE TULI.' 8~0.
8°.
Lat.
Dep.
Let.
~
8,,°.
Let.
Dep.
--- --- --- - - - - - - -
Dep.
t::!
Ii"
Dep.
SCI ~
--- ---- -
.
61 62 63 64
Let.
..
51.46 62.45 63.44 M.43 65.42 66.41 57.40 68.39 59.38
7.32 7.46 7.61 7.75 7.89 8.04 8.18 8.32 8.47 8.61
51. 43 52.42 63.41 M.4O 55.38 56.37 57.36 68.35 59.34
7.M 7.69 7.83 7.98 8.13 8.28 8.43 8.57 8.72 8.87
51.39 52.38 63.37 M.36 65.35 66.34 57.32 68.31 59.30
7.76 7.91 8.06 8.21 8.37 8.52 8.67 8.82 8.98 9.13
61 62 63 M
1i9.42
7.10 7.24 7.38 7.52 7.65 7.79 7.93 8.07 8.21 8.35
61 62 63 04 65 66 67 68 69 70
60.41 61.40 62.39 63.38 64.37 65.36 66.35 67.34 68.33 69.32
8.49 8.113 8.77 8.91 9.05 9.19 9.32 9.46 9.60 9.74
60.37 61.36 62.35 63.34 64.33 65.32 66.31 67.30 68.29 69.28
8.75 8.90 9.04 9.18 9.33 9.47 9.61 9.76 9.90 10.04
60.33 61.32 62.31 63.30 64.29 65.28 66.211 67.25 68.24 69.23
9.02 9.16 9.31 9.46 9.61 9.76 9.90 10.05 10.20 10.35
60.29 61.28 62.27 63.26 64.24 65.23 61\.22 67.21 68.20 69.19
9.28 9.43 9.58 9.74 9.89 10.04 10.19 10.34 10.50 10.65
61 62 63 64 65 66 67 68
71 72 73 74 76 76 77 78 19 80
70.31 71.30 72.29 73.28 74.27 75.20 7G.25 77.24 78. 23 79.22
9.88 10.02 10.16 10.30 10.44 10.58 10.72 10.86 10.99 11.13
70.27 71.25 72.2-1 73.23 74.22 75.21 76.20 77.19 78.18 19.17
10.19 10.33 10.47 10.62 10.76 10.91 11.05 11.19 11.34 11.48
70.22 71.21 72.20 73.10 74.18 75.17 76.15 77.14 78.13 79.12
10.49 10.04 10.79 10.94 11.09 11.23 11. 38 11.5.1 11.&i 11.82
70.17 71.16 72.15 73.14 74.13 75.12 76.10 77.09 78.08 79.07
10. 81) 10.95 11.11 11.26 11.41 11.56 11.71 11.87 12.02 12.17
71 72 73 74 75 76 77 78 79 SO
ill
82 83 84 &5 86 87 88 89 90
80.21 81.20 82.19 83.18 84.17 85.16 86.15 87.14 88.13 89.12
11.27 11.41 11.55 11.69 11.83 11.97 12.11 12.25 12.39 12.63
80.16 81.15 @2.14 83.13 84.12 85.11 86.10 87.09 88.08 89.07
11.62 11.77 11.91 12.05 12.20 12.34 12.4H 12.63 12.77 12.91
SO. 11 81. 10 82.09 83.08 84.07 &5.06 86.04 87.03 SS.02 89.01
11.97 12.12 12.27 12.42 12.56 12.71 12.86 13.01 13.10 13.30
80.06 81. 05 82.03 &3.02 84. 01 &5.00 85.99 86.98 87.96 88.95
12.32 12.47 12.113 12.78 12.93 13.08 13.23 13.39 13.M 13.69
81 82 83 84 &5 86 87 88 89 90
91 92 93 94 OS 96 97 98 99 100
90.11 91.10 92.09 93.09 94.08 95.07 96.06 97.05 98.04 99.03
12. 66 12. SO 12.94 13.08 13.22 13.36 13.50 13.64 13.78 13.92
90.06 91.05 92.04 93.03 94.02 95.01 96.00 96.99 97.98 98.97
13.1)6 13.20 13. 34 13.49 13.63 13.78 13.92 14.06 14.21
90.00 90.99 91.98 92.97 93.96 94.95 95.93 96.92 97.91 98.00
13.45 13.60 13.75 13.89 14.04 14.19 14.34 14.49 14.63 14.78
89.94 9O.1l:I 91.92 92.91 93.89 94.88 95.87 96.86 97.85 98.84
13.84 14.00 14.15 14.30 14.45 14.60 14.76 14.91 15.06 15. 21
91 92 93 94 95 96 97 98 99 100
Dep.
Lat.
Dep.
Lat.
65
66
57
68 59 60
~.~
61.49 62.48 63.47 M.46 65.46 66.45 57.44 68.43
~.47
- -1 - - Dep.
J
82°.
Lat.
Dep.
~.44
14.3.~
~I
81W·
I
~.41
65
66 57
68
59 60
69
70
-8Uio.
81~0.
i
j
A
.
TABLa f.-Tti VIIS. TABLL t:; Ill'
9~o.
9°.
t:;
~o.
D~·.
Ii'
g ft
Lat.
Dep.
Lat.
Dep.
Let.
- - --- - - - --- -
Dep.
Lat.
Dep.
- - - ---
J
I 2 3 4 6 6 7 8 9 10
0.99 1.98 2.96 3.96 4.94 6.93 6. 91 7.90 8.89 9.88
0.16 0.31 0.47 0.63 0.78 0.94 1.10 1.26 1.41 1.56
0.99 1.97 2.96 3.96 4.93 6.92 6. 91 7.90 8.88 9.87
0.16 0.32 0.48 0.64 O.SO 0.96 1.13 1.29 1.46 1.61
0.99 1. 97 2.96 3.96 4.93 6.92 6.90 7.89 8.88 9.86
0.17 0.33 0.50 0.00 0.83 0.99 1.16 1.32 1.49 1.66
0.99 1.97 2.96 3.94 4.93 6.91 6.90 7.88 8.87 9.86
0.17 0.34 0.61 0.68 0.36 1.02 1.19 1.36 1. 62 1.69
1 2 3 4 6 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10. 86 11.85 12.84 13. 83 14.82 15.80 16. 79 17.73 18. 77 19.75
1.72 1.88 2.03 2.19 2.36 2.50 2.00 2.82 2.97 3.13
10.86 11.84 12.83 13. 82 14.80 15.79 16.78 17.77 18. 75 19.74
1.77 1.93 2.09 2.26 241 2.67 2.73 2.89 3.05 3. 21
10.36 11.84 12. 82 13.81 14. 79 15.78 16. 77 17.75 18. 74 19.73
1.82 1.98 2.15 2. 31 2.48 2.64 2.81 2.97 3.14 3.30
10.84 11.83 12. 81 13. 80 14. 73 16. 77 16. 75 17.74 18.73 19.71
1.86 2.03 2.20 2.87 2.M 2.71 2.88 3.05 3.22 3.39
11 12 13 14 16 16 17 18 19 20
21
30
20.7. 21.73 22.72 23.70 24.69 26.68 26.67 27.66 28.64 29.63
3.2D 3.« 3.60 3.75 3. 91 4.07 4.22 4.38 4.M 4.69
20.73 21. 71 22.70 23.69 24.67 26.66 26.66 27.64 28.62 29.61
3.38 3.M 3.70 3.86 4.02 4.18 4.34 4.50 4.66 4.82
20.71 21.70 22.68 23.67 24.66 26.64 26.63 27.62 28.60 29.69
3. 47 3.63 3.80 3.96 4.13 4.29 4.46 4.62 4.79 4.96
20.70 21.68 22.67 23.66 24.64 26.62 26. 61 27.60 28.68 29.57
3.56 3.73 3.90 4.06 4.23 4.40 4. 57 4. 74 4. 91 5.08
31 32 33 34 36 36 37 38 39 40
30.62 31.61 32.59 33.68 34.57 36.66 36.M 37.53 38.52 39.61
4.36 6.01 6.16 5.32 5.48 5.63 5.79 6.94 6.10 6.26
30.60 31.68 32.57 33.66 34.M 36.53 36.52 37.51 38.49 39.48
4.98 5.14 5.30 5.47 5.63 5.79 5.96 6.11 6. 27 6.43
30.67 31.66 32.55 33.53 34. 52 36.51 36. 49 37.48 38.47 39.46
5.12 30.55 5.28 31.M 32.62 5.46 5.61 , 33. 51 34. 49 5.78 5.94 36.48 36. 47 6.11 37.46 6.27 6. 44 38.« 6.60 39.42
5.26 5.42 6.59 6.76 6.93 6.10 6.27 6.« 6.60 6.77
31 32 33 34 36 36 37 38 39 40
41 42 43 « 46 46 47 48 49 50
40.50 41.48 42. 47 43.46 44.46 45.43 46.42 47.41 48. 40 49.38
6.41 6.57 6.73 6.88 7.04 7.20 7.36 7.51 7.67 7.82
40.47 41. 46 42.« 43.43 44.41 46.40 46.39 47.38 48.36 49.36
6.69 6.75 6. 91 7.07 7.23 7.39 7.55 7.72 7.88 8.04
40.« 41.42 42.41 43.40 44.38 46.37 46.36 47.34 48.33 49.32
6.77 6.92 7.10 7.26 7.43 7.59 7.76 7.92 8.09 8.26
6.94 7.11 7.28 7.46 7.62 7.79 7.96 8.13 8.30 8. 47
41 42 43 « 46 46 47 48 49 60
--
---
I
Dep.
22 28
24 26 26 27 28 29
~
I-
Lat. 81°.
Dep.
Lat.
Dep.
Lat.
8OJ.i0.
80",40.
26
40.41 41. 39 42.38 43.36 44.36 46.34 46.32 47.31 48.29
49.28
21
22 28
24 25 20 27 28 29 30
--- - - - - Dep.
Lat.
souo.
j J!I ~
TABLE 4.-TBA VERSE TABLE. g••
t::j
Iii
9~·.
J -- --- --Lat.
Dep.
60.37 51.36
56.31 511.30 67.29 68.27 69.26
7.98 8.13 8.29 8.45 8.60 8. 76 8.92 9.07 9.23 9.39
63 64 65 66 67 68 69 70
60.25 61.24 62.22 63.21 64.20 65.19 66.18 67.16 68.15 69.14
71 72 73 74 76 76 77 78 79 80
Lat.
9',,0.
9~·.
Lat.
Dep.
--- ---
Lat.
Dep.
i ~
--- - - - --- - - - - -
56.27 66.26 67.25 68.23 69.22
8.20 8.36 8.52 8.68 8.84 9.00 9.16 9.32 9.48 9.64
60.30 51.29 62.27 53.26 54.25 56.23 56.22 57.20 68.19 59.18
8. 42 8.68 8. 75 8. 91 9.08 9:24 9.41 9.57 9.74 9.90
60.26 51. 25 62.23 53.22 54. 21 56.19 56.18 67.16 68.15 69.13
8.64 8. 81 8.98 9.14 9.31 9.48 9.65 9.82 9.99 10.16
51 52 53 54 56 56 57 68 69 60
9.54 9.70 9.86 10.01 10.17 10.32 10.48 10.64 10.79 10.95
60.21 61.19 62.18 63.17 64.15 65.14 f>6.13 67.12 68.10 69.09
9.81 9.97 10.13 10.29 10.45 10.61 10.77 10.93 11.09 11.25
60.16 61.15 62.14 63.12 64.11 65.09 66.08 67.07 68.05 69.04
10.07 10.23 10.40 10.56 10.73 10.89 11.06 11.22 11.39 11.55
60.12 61.10 62.09 63.08 64.06 65.05 66.03 67.02 68.00 68.99
10.33 10.60 10.67 10.84 11.01 11.18 11.35 11.52 11.69 11.85
61 62 63 64 65 66 67 68 69 70
70.13 71.11 72.10 73.09 74.08 75.06 76.05 77.04 78.03 79.02
11.11 11.26 11.42 11.58 11.73 11.89 12.05 12.20 12.36 12.51
70.08 71.06 72.05 73.04 74.02 75.01 76.00 76.99 77.97 78.96
11.41 11.57 11.73 11.89 12.06 12.22 12.38 12.54 12.70 12.86
70.03 71.01 72.00 72.99 73. 97 74.96 75.94 76.93 77.92 78.90
11.72 11.SS 12.05 12.21 12.38 12.54 12.71 12.1!1 13.04 13.20
69.97 70.96 71.95 72. 93 73.92 74.90 ·76.89 76.1!1 77.86 78.84
12.02 12.19 12.36 12.53 12.70 12.1!1 13.04 13.21 13.38 13.65
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 1!1 SS 89 90
80.00 80.99 81.98 82.97 83.95 84.94 85.93 86.92 87.90 SS.89
12.67 12.83 12.98 13.14 13.30 13.45 13.61 13.77 13.92 14.08
79.95 80.93 81.92 82.91 83.89 .84.SS 85.87 86.86 87.84 SS.83
13.02 13.18 13.34 13.60 13.66 13.82 13.98 14.15 14.31 14.47
79.89 8O.SS 81.86 82.85 83.83 84.82 85.81 86.79 87.78 88. 77
13.37 13.53 13.70 13.86 14.03 14.19 14.36 14.52 14.69 '14.85
79.83 80.82 81.80 82.79 83.77 84.76 85.74 86.73 87.71 SS.70
13.72 13.89 14.06 14.23 14.39 14.66 14.73 14. 90 15.07 15.24
81 82 83 84 85 86 87 SS 89 90
91 92 93 94 95 96 97 98 99 100
89.SS 90.87 91.86 92.84 93.83 94.82 95.81 96.79 97.78 98.77
14.24 14.39 14.55 14.70 14.86 15.02 15.17 16.33 15.49 15.64
89.82 90.80 91.79 92.78 93.76 94.75 95.74 96.73 97.71 98.70
14.63 14.79 14.95 15.11 15.27 15.43 15.59 15.75 15.91 16.07
89.75 90.74 91.72 92.71 93.70 94.68 95.67 96.66 97.64 98.63
15.02 15.18 15.35 15.61 15.68 15.84 16.01 16.17 16.34 16.60
89.69 90.67 91.66 92.64 93.63 94.61 95.60 96.58 97.57 98.56
15.41 15.58 15.75 15.92 16.09 16.26 16.43 16.60 16.77 16.93
91 92 93 94 95 96 97 98 99 100
Lat.
Dep.
Lat.
Dep.
Lat.
61 62 53
52.36
56 66 57 68 59 60
54
111
&
53.34
54.32
60.34 51.32 52.31 53.30
Dep.
t::j
54.28
- - --- --- - - - - - - - - - - - - --- - - -I -
I A
Lat.
Dep. 81°.
Dep.
SOl,,·.
80~·.
27
80~·.
j A
TABLE 100.
t::1
r0-
~.-fIUVJ!lI&SE
~o.
fAaLB.
lot°.
1O~0.
1::1
g t !i Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. ~ - - --- - - - , - - - - --- --- - - - --- - I 2 3 4 5 6 7 8 9 10
0.98 1.97 2.95 3.94 4.92 5.91 6.89 7.88 8.86 9.85
0.17 0.35 0.52 0.69 0.87 1.04 1.22 1.39 1.56 1.74
0.98 1.97 2.95 3.94 4.92 6.90 6.89 7.87 8.86 9.84
0.18 0.36 0.53 0.71 0.89 1.07 1.25 1.42 1.60 1.78
11 12 13 14 15 16 17 18 19 20
10.83 11.82 12.80 13.79 14.77 15.76 16. 74 17.73 18. 71 19.70
i. 91 2.08 2.26 2.43 2.60 2. 78 2.95 3.13 3.30 3.47
10.82 11.81 12.79 13.78 14.76 15.74 16.73 17.71 18. 70 19.68
21 22
20.68 21.67 22.65 23.64 24.62 25.61 26.59 27.57 28.56 29.54
3.65 3.82 3.99 4.17 4.34 4.51 4.69 4.86 5.04 5.21
30.53 31.51 32.50 33.48 34.47 35.45 36.44 37.42 38.41 39.39 40.38 41.36 42.35 43.33 44.32 45.30 46.29 47.27 48.26 49.24
23 24 25 26
27 28 29 30 31
32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
49 50
7.87 8.85 9.83
0.18 0.36 0.65 0. 73 0.91 1.09 1.28 1.46 1.64 1.82
7.86 8.84 9.82
0.19 0.37 0.56 0.75 0.93 1.12 1.31 1.49 1.68 1.87
1.96 2.14 2.31 2.49 2.67 2.85 3.03 3.20 3.38 3.56
10.82 11.80 12.78 13.77 14.75 15.73 16.72 17.70 18.68 19.67
2.00 2.19 2.37 2.55 2.73 2.92 3.10 3.28 3.46 3.64
10.81 11.79 12.77 13.75 14.74 15. 72 16.70 17.68 18.67 19.65
2.05 2.24 2.42 2.61 2.80 2.98 3.17 3.36. 3.54 3. 73
20.66 21.65 22.63 23.62 24.60 25.59 26.57 27.55 28.54 29.52
3.74 3.91 4.09 4.27 4.45 4.63 4.80 4.98 5.16 5.34
20.65 21.63 22.61 23.60 24.58 25.56 26.55 27.53 28.51 29.50
3.83 4.01 4.19 4.37 4.56 4.74 4.92 5. IO 5.28 5.47
20.63 21.61 22.60 23.58 24.56 25.54 26.53 27.51 28.49 29.47
3.92 4.10 4.29 4.48 4.66 4.85 5.04 5.22 5.41 5.60
5.38 5.56 5.73 5.90 6.08 6.25 6.42 6.60 6.77 6.95
30.51 31.49 32.47 33.46 34.44 35.43 36.41 37.39 38.38 39.36
5.52 5.69 5.87 6.05 6.23 6.41 6.68 6.76 6.94 7.12
30.48 31.46 32.45 33.43 34.41 35.40 3(".38 37.36 38.35 39.33
5.65 5.83 6.01 6.20 6.38 6.56 6.74 6.92 7.11 7.29
30.46 31.44 32.42 33.40 34.39 35.37 36.35 37.33 38.32 39.30
5.78 5.97 6.16 6.34 6.53 6.71 6.90 7.09 7.27 7.46
33 34 35 36 37 38 39
7.12 7.29 7.47 7.64 7.81 7.99 8.16 8.34 8.51 8.68
40.35 41.33 42.31 43.30 44.28 45.27 46.25 47.23 48.22 49.20
7.30 7.47 7.65 7.83 8.01 8.19 8.36 8.54 8.72 8.90
40.31 41.30 42.28 43.26 44.25 45.23 46.21 47.20 48.18 49.16
7.47 7.65 7.84 8. 02 8.20 8.38 8.57 8.75 8.93 9.11
40.28 41.26 42.25
7.65 7.83 8.02 8. 21 8.39 8.58 8.77 8.95 9.14 9.33
41 42 43 44 45 46 47 48 49 50
0.98 1.97 2.95 3.93 4.92 5.90
6.88
0.98 1.96 2.95 3.93 4.91 5.89
6.88
43.23
44.21 45.19 46.18 47.16 48.14 49.12
1 2 3 4 5
6 7 8 9 10 11 12
13 14
15
16 17 18 19 20 21 22 23 24 25 26
27 28 29 30 31
32
40
- - - - - - - - --- --- - - - --- - - - ---- -
j A
Dep. 80".
Lat.
Dep.
Lat.
793,40,
Dep.
I 28
Lat.
79~".
Dep.
Lat.
79~0.
j
A
TA.BLE f.-TRAVERSE TA.BLE.
J
1~0.
10°.
Ij I;;
Lat.
Dep.
Lat.
I
Dep.
1~0.
Lat.
,I
I
DeP.!
------ ------
lo,~o.
Lat.
Dep.
------
Ij I;;
J
61 52 63 M 66 66 67 68 69 60
60.23 61.21 52.19 63.18 M.16 66.16 66.13 57.12 68.10 69.09
8.86 11.03 9.20 9.38 9.66 9.72 9.90 lO.07 lO.25 lO.42
60.19 61.17 52.15 63.14 M.12 66.11 66.09 67.07 68.06 00.04
9.08 9.26 9.43 9.61 9.79 9.96 10.14 10.32 10.60 10.68
60.16 51.13 52.11 63.lO M.08 66.06 66.06 57.03 68.01 69.00
6O.lO 29 9. 9.48 1 61.09 52.07 9.66 9.84 63.06 lO.02 M.03 lO.21 66.02 10.39 66.00 lO.57 66.98 10.75 57.96 lO.93 68.95
9.51 3.70 9.89 10.07 10.26 10.46 10.63 lO.82 11.00 11.19
51 52 63 M 66 66 67 68 69 60
61 62 63 64 65 66 67 68 69 70
60.07 61. 06 62.04 63.03 64.01 65.00 611.98 66.97 67.95 68.94
10.59 lO.77 10.94 11.11 11.29 11.46 11.63 11.81 11.98 12.16
60.03 61.01 61.99 62.98 63.96
10.85 11.03 11.21 11.39 11.57 11.74 11.92 12.lO 12.28 12.46
69.98 60.96 61.96 62.93 63.91 64.89 611.88 66.86 67.84 68.83
11.12 11.30 11.48 11.66 11.85 12.03 12.21 12.39 12.57 12.76
00.93 60.91 61.89 62.88 63.86 64.84 65.82 66.81 67.79 68.77
11.38 11.66 11.76 11.94 12.12 12.31 12.50 12.68 12.87 13.06
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
00.92 70.91 71.89 72.88 73.86 7(.85 75.83 76.82 77.80 78.78
12.33 12.50 12.68 12.85 13.02 13.20 13.37 13.M 13.72 13.89
73.80 74.70 75.77 76.76 77.74 78.72
12.63 12.81 12.99 13.17 13.35 13.52 13.70 13.88 14.06 14.24
69.81 70.79 71. 78 72.76 73.74 74.73 75.71 76.69 77.68 78.66
12.94 13.12 13.30 13.49 13.67 13.85 14.03 14.21 14.40 14.68
69.75 70.74 71.72 72.70 73.68 74.67 75.65 76.63 77.61 78.60
13.24 13.43 13.62 13.80 13.99 14.18 14.36 14.66 14.74 14.92
71 72 73 74 75 70 77 78 . 79 80
81 82 83 84 85 86 87 88 89 90
79.77 80.75 81.74 82.72 83.71 84.69 85.68 87.65 88.63
14.07 14.24 14.41 14.59 14.76 14.93 15.11 15. 28 15.45 15.63
79.71 80. GIl 81.68 82.66 83.M 84.63 85.61 86.60 87.68 88.66
14.41 14.59 14.7; 14.95 15.13 16.30 16.48 15.66 15.84 16.01
79.64 80.63 81.61 82.69 83.68 84.66 85.M 86.63 87.51 88.49
14.76 14.94 15.13 15.31 15.49 16.67 16.85 16.04 16.22 16.40
79.68 80.66 81.M 82.63 83.51 84.49 85.47 86.46 87.44 88.42
15.11 15.29 15.48 15.67 15.85 16.04 16.23 16.41 16.60 16.79
81 82 83 84 85 86 87 88 99 90
.1
89.62 90.00 91.00 92.57 93.50 94.M 96.63 96.51 97.50 98.48
15.80 15. 98 16.15 10.32 16.50 16.67 10.84 17.02 17.19 17.36
89.66 90.63 91. 52 92.60 93.48 94.47 95.45 96.44 97.42 98.40
16.19 16.37 16.66 10.73 16.90 17.08 17.26 17.44 17.62 17.79
89.48 90.46 91. 44 92.43 93.41 94.39 95.38 96.36 97.34 98.33
16.68 16.77 16.95 17.13 17.31 17.49 17.68 17.86 18.04 18.22
89.40 90.39 91.37 92.35 93.33 94.32 95.30 96.28 97.26 98.25
16.117 17.16 17.35 17.63 17.72 17.91 18.09 18.28 18.47 18.66
91 92 93 94 115 96 97 "98 99 100
112 93 94 95 96 17 98 99 100
86.66
f~.95
65.93 66.91 67.90 68.88 00.87 70.85 71.83
n.82
- ---- --- --- --- --- --- - ---- --
i
.l!i
~
Dep.
Lat. 80°.
Dep.
Lat.
Dap.
Lat.
~o.
791.4°.
29
Dep.
Lat.
79~·.
j
Q
TABLE f.-TRAVERSE TABLE. 110.
t::1
t' ~
Lat.
Dep.
- - --- ---
Lat.
11~0.
t::1
I»
Dep.
Lat.
Dep.
------ --- ---
Lat.
Dep.
t' ~
--- -----
I 2 3 4 6 6 7 8 9 10
0.98 1.96 2.94 3.93 4.91 5.89 6.87 7.85 8.83 9.82
0.19 0.38 0.57 0.76 0.95 1.14 1.34 1.53 1.72 1.91
0.98 1.96 2.94 3.92 4.90 5.88 6.87 7.85 8.83 9.81
0.20 0.39 0.59 0.78 0.98 1.17 1.37 1.56 1.76 1.95
0.98 1.96 2.94 3.92 4.90 6.88 6.86 7.84 8.82 9.80
0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.59 1.79 1.99
0.98 1.96 2.94 3.92 4.90 6.87 6.85 7.83 8.81 9.79
0.20 0.41 0.61 0.81 1.02 1.22 1.43 1.63 1.83 2.04
1 2 3 4 6 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10.80 11.78 12.76 13.74 14.72 15.71 16.69 17.67 18.65 19.63
2.10 2.29 2.48 2.67 2.86 3.05 3.24 3.43 3.63 3.82
10.79 11.77 12.75 13.73 14.71 15.69 16.67 17.65 18.63 19.62
2.15 2.34 2.M 2.73 2.93 3.12 3.32 3.61 3.71 3.90
10.78 11.76 12.74 13.72 14.70 15.68 16.66 17.64 18.62 19.60
2.19 2.39 2.59 2.79 2.99 3.19 3.39 3.59 3.79 3.99
10.77 11.75 12.73 13.71 14.69 15.68 16.64 17.62 18.60 19.58
2.24 2.44 2.65 2.85 3.05 3.26 3.46 3.66 3.87 4.07
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30'
20.61 21.60 22.58 23.56 24.M 25.62 26.50 27.49 28.47 29.45
4.01 4.20 4.39 4.58 4.77 4.96 6.15 5.34 5.53 6.72
20.60 21.58 22.56 23.M 24.52 25.50 26.48 27.46 28.44 29.42
4.10 4.29 4.49 4.68 4.88 5.07 6.27 5.46 5.66 5.85
20.58 21.56 22.M 23.62 24.50 25.48 26.46 27.44 28.42 29.40
4.19 4.39 4.59 4.78 4.98 6.18 5.38 5.58 6.78 5.98
20.56 21.M 22.62 23.50 24.48 25.46 26.43 27.41 28.39 29.37
4.28 4.48 4.68 4.89 5.09 5.29 5.50 5. 70 5. 91 6.11
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
ao.43 31.41 32.39 33.38 34.36 35.34 36.32 37.30 38.28 39.27
5.92 6.11 6.30 6.49 6.68 6.87 7.06 7.25 7.44 7.63
30.40 31.39 32.37 33.35 34.33 35.31 36.29 37.27 38.25 39.23
6.05 6.24 6.44 6.63 6.83 7.02 7.22 7.41 7.61 7.80
30.38 31.36 32.34 33.32 34.30 35.28 36.26 37.24 38.22 39.20
6.18 6.38 6.58 6.78 6.98 7.18 7.38 7.58 7.78 7.97
30.35 31.33 32.31 33.29 34.27 35.25 36.22 37.20 38.18 39.16
6.31 6.52 6.72 6.92 7.13 7.33 7.53 7.74 7.94 8.15
31 32 33 34 35 36 37 38 39 «l
41
.0.25 41.23 42.21 43.19 44.17 45.15 46.14 47.12 48.10 49.08
7.82 8.01 8.20 8• .0 8.59 8. 78 8.97 9.16 9.35 9.M
.0.21 41.19 42.17 43.15 44.14 .a. 12 46.10 47.08 48.06 49.04
8.00 8.19 8.39 8.58 8.78 8.97 9.17 9.36 9.56 9.75
.0.18 41.16 42.14 43.12 44.10 .a. 08 46.06 47.04 48.02 49.00
8.17 8.37 8.67 8.77 8.97 9.17 9.37 9.67 9.77 9.97
40.14 41.12 42.10 43.08 44.06 .a. 04 46.02 46.99 47.97 48.95
8.35 8.65 8.76 8.96 9.16 9.37 9.67 9.77 9.Q8 10.18
41
42 43 44
I
11~0.
11W·
I»
45 46 47 48 oW 50
42 43 44 45
46 47 48 49 50
- - --- - - - - - - - - - - - --- - - - ---- !
I
Dep. . 79°.
Lat.
Dep.
Lat.
Dep.
78,,0.
Lat.
78~0.
30
Dep.
Lat.
78~0 •
j
A
TA.BLE 4.-TEAVERSE TA.BLE. 11J1io.
11~0.
11°.
t:j
g
Lat.
51 52 53 54 55 56 57 68 59 60
50.06 51.04 52.03 53.01 53.99 54.97 55.95 56.93 57.92 68.90
9.73 9.92 10.11 10.30 10.49 10.69 10.88 11.07 11.26 11.45
50.02 51.00 51. 98 52.96 53.94 54.92 55.90 56.89 57.87 68.85
9.95 10.14 10.34 10.53 10.73 10.93 11.12 11.32 11.51 11.71
49.98 50.96 51.94 52.92 53.90 54.88 55.86 56.84 57.82 68.80
10.17 10.37 10.57 10.77 10.97 11.16 11.36 11.56 11.76 11.96
49.93 50.91 51.89 52.87 53.85 54.83 55.81 56.78 57.76 68.74
10.39 10.59 10.79 11.00 11.20 11.40 11.61 U.81 12.01 12.22
51 52 53 54 55 56 57 68 59 60
61 62 63 64 65 66 67 68 69 70
59.88 60.86 61. 84 62.82 63.81 64.79 65.77 66.75 67.73 68.71
11.64 11.83 12.02 12.21 12.40 12.59 12.78 12.98 13.17 13.36
59.83 60.81 61.79 62.77 63.75 64.73 65.71 66.69 67.67 68.65
11.90 12.10 12.29 12.49 12.68 12.88 13.07 13.27 13.46 13.66
59.78 60.76 61. 74 62.72 63.70 64.68 65.65 66.63 67.61 68.59
12.16 12.36 12.56 12.76 12.96 13.16 13.36 13.56 13.76 13.96
59.72 60.70 61.68 62.66 63.64 64.62 65.60 66.68 67.55 68.53
12.42 12.63 12.83 13.03 13.24 13.44 13.64 13.85 14.05 14.25
61 62 63 64 65 66 67 68 f9 70
71 72 73 74 75 76 77 78 79 80
69.70 70.68 71.66 72.64 73.62 74.60 75.59 76.57 77.55 78.53
13.55 13.74 13.93 14.12 14.31 14.50 14.69 14.88 15. en 15.26
69.64 70.62 71.60 72.68 73.56 74. 54 75.52 76.50 77.48 78. 46
13.85 14.05 14.24 14.44 14.63 14.83 15.02 15.22 15.41 15.61
69.57 70.55 71. 53 72. 51 73.49 74.47 75.45 76. 43 77.41 78. 39
14.16 14.35 14.55 14.75 14.95 15.15 15.35 15.55 15.75 15.95
69.51 70.49 71.47 72.45 73.43 74.41 75.39 76.37 77.34 78.32
14.46 14.66 14.87 15.07 15.27 15.48 15.68 15.88 16.09 16.29
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
79.51 80.49 81.48 82.46 83.44 84.42 85.40 86.38 87.36 88.35
15.46 15.65 15.84 16.03 16.22 16.41 16.60 16.79 16.98 17.17
79.44 80.42 81.41 82.39 83.37 84.35 85.33 86.31 87.29 88.27
15.80 16.00 16.19 16.39 16.68 16.78 16.97 17.17 17.36 17.56
79.37 80.35 81.33 82.31 83.29 84.27 85.25 86.23 87.21 88.19
16.15 16.35 16.55 16.75 16.95 17.15 17.35 17.54 17.74 17.94
79. 30 80.28 81.26 82.24 83.22 84.20 85.18 86.16 87.14 88.11
16.49 16.70 16.90 17.11 17.31 17.51 17.72 17.92 18.12 18.33
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
89.33 90.31 91.29 92.27 93.25 94.24 95.22 96.20 97.18 98.16
17.36 17.55 17.75 17.94 18.13 18.32 18.51 18.70 18.89 19,08
89.25 90.23 91.21 92.19 93.17 94.16 95.14 96.12 97.10 98.08
17.75 17.95 18.14 18.34 18.53 18.73 18.92 19.12 19.31 19.51
89.17 90.15 91.13
18.14 18.34 18.54 18.74 18.94 19.14 19.34 19.54 19.74 19.94
89.09 90.07 91.05 92.03 93. 01 93.99 94. 97 95.95 96.93 97.90
18.53 18.74 18.94 19.14 19.35 19.55 19.75 19.96 20.16 20.36
91
Dep.
Lat.
Dep.
Dep.
Lat.
t:j
g
'"
l"
Lat.
11"°.
Dep.
'"
!'
- ---- --- --- --- - - --- --- ---- -
9'J.11
93.09 94.07 95.05 96.03 97.01 97.99
- - --- - - - - - - - - - - - - - - -
t
~
.5
A
Dep. 79°.
Lat.
Dep.
Lat.
Dep.
Lat.
78J1io.
78",4°.
31
92
93 94 95 96 97 98 119 100
--- - - - - Dep.
Lat.
78)(".
8
j
TABLE ".-TRAVERSE TABLE. t:)
12°.
fn
-
J
Dep.
--- ---
Lat. ---
Dep.
Lat.
t:)
12~·.
Dep.
Lat.
/0'
Dep.
f
--- - - - - - - - - - - - - - -
I 2 3 4 5 6 7 8 9 10
0.98 1.96 2.93 3.91 4.89 5.87 6.85 7.83 8.80 9.78
0.21 0.42 0.62 0.83 1.04 1.25 1.46 1.66 1.87 2.08
0.98 1.95 2.93 3.91 4.89 5.86 6.84 7.82 8.80 9.77
0.21 0.42 0.64 0.85 1.06 1.27 1.49 1.70 1. 91 2.12
0.98 1.95 2.93 3.91 4.88 5.86 6.83 7.81 8.79 9.76
0.22 0.43 0.66 0.87 1.08 1.30 1.52 1. 73 1.95 2.16
0.98 1.95 2.93 3.90 4.88 5.85 6.83 7.80 8.78 9.75
0.22 0.44 0.66 0.88 1.10 1.32 1.54 1.77 1.99 2.21
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10.76 11.74 12.72 13.69 14.67 15.66 16.63 17.61 18.58 19.56
2.29 2.49 2.70 2.91 3.12 3.33 3.53 3. 74 3.95 4.16
10.75 11.73 12.70 13.68 14.66 15.64 16.61 17.00 18.57 19.54
2.33 2.55 2.76 2.97 3.18 3.39 3.61 3.82 4.03 4.24
10.74 11.72 12.69 13.67 14.64 15.62 16.60 17.57 18.55 19.53
2.38 2.60 2.81 3.03 3.25 3.46 3.ti8 3.90 4.11 4.33
10.73 11.70 12.68 13.66 14.63 15.61 16.58 17.56 18.53 19.51
2.43 2.66 2.87 3.09 3.31 3.53 3.75 3.97 4.19 4.41
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29
30
20.54 21.52 22.50 23.48 24.45 25.43 26.41 27.39 28. 37 29.34
4.37 4.57 4.78 4.99 5.20 5.41 5 .. 61 5.82 6.03 6.24
20.52 21.50 22.48 23.45 24.43 25.41 26.39 27.36 28.34 29.32
4.46 4.67 4.88 5.09 5.30 5.52 5.73 5.94 6.15 6.37
20.50 21.48 22.45 23.43 24.41 25.38 26.36 27.34 28.31 29.29
4.55 4.76 4.98 5.19 5.41 5.63 5.84 6.06 6.28 6.49
20.48 21.46 22.43 23.41 24.38 25.36 26.33 27.31 28.28 29.26
4.63 4.86 5.08 5.30 5.52 5.74 5.96 6.18 6.40 6.62
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
30.32 31.30 32.28 33.26 34.24 35.21 36.19 37.17 38.15 39.13
6.45 6.66 6.86 7.07 7.28 7.48 7.69 7.90 8.11 8.32
30.29 31.27 32.25 33.23 34.20 35.18 36.16 37.13 38.11 39.09
6.58 6.79 7.00 7.21 7.43 7.64 7.85 8.06 8.27 8.49
30.27 31.24 32.22 33.19 34:17 35.15 36.12 37.10 38.08 39.05
6.71 6.93 7.14 7.36 7.58 7.79 8.01 8.22 8.44 8.66
30.24 31.21 32.19 33.16 34.14 35.11 36.09 37.06 38.04 39.01
6.84 7.06 7.28 7.50 7.72 7.95 8.17 8.39 8.61 8.83
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
40.10 41.08 42.06 43.04 44.02 44.99 45.97 46.95 47.93 48.91
8.52 8.73 8.94 9.15 9.36 9.56 9.77 9.98 10.19 10.40
40.07 41.04 42.02 43.00 43.98 44.95 45.93 46.91 47.88 48.86
8.70 8.91 9.12 9.34 9.55 9.76 9.97 10.18 10.40 10.61
40.03 41.00 41.98 42.00 43.93 44.91 45.89 46.86 47.84 48.81
8.87 9.09 9.31 9.52 9.74 9.96 10.17 10.39 10.61 10.82
39.99 40.96 41.94 42.92 43.89 44.87 45.84 46.82 47.79 48.77
9.05 9.27 9.49 9.71 9.93 10.15 10.37 10.59 10.81 11.03
41 42 43 44 45 46 47 48 49 50
1-
I
Lat.
12~·.
12~0.
j
------ -----Dep.
Lat. 78°.
Dep.
Dep
Lat.
.!-;:-
~
1784°.
32
..
-------Dep.
Lat.
77~0.
i .l!l Q
'UBLE 4.-TI.l VERSE TABLE.
i
12)4°.
12°.
~
Lat.
51 52 53 54 55 66 57 58 59 60
49.89 60.86 51.84 52.82 63. SO 54.78 55.75 56.73 57.71 58.69
10. 60 10.81 02 11. 11.23 11.44 H.64 11.85 12.06 12.27 12.4'l
61 62 63
59.67 60.65 61.62 62.60 63.58 64.56 65.54 66. 51 67.49 68.47
69.46
Lat.
Dep.
12J1i0.
Lat.
Dep.
- ---- --- --- - -
64 65 66 67 68
69
70 71 72 73 74 75 76 77 78
70.43 71.40 72.38 73.36 74.34 75.32 76.30 77.27 78.25
79
80
79.23
81 82 83 84 85 86 In 88 89
!
90
80.21 81.19 82.16 83.14 84.12 85.10 86.08 87.06 88.03 89.01 S9.99 9O.P7 91.95 92.92
~1 ~2
Q3 94 95 96 W
93.90 94.88
~
95.86
U9 100
--
96.84 97.81 --
J
Lat.
10.82 49.79 11.03 50.77 11.25 I 51. 74 11.46 52.72 11.67 ! 53.70 11.88 54.67 12.09 ; 5.;.65 1:1.31 56.63 12.52 57.00 12.73 58.58
11.04 ' 11.25 ' 11.47 , 11.69 I 11. 90 I 12.12 i 12.34 I 12.55 12.77 12.99
12.68 12.89 13.10 13.31 13.61 13. 72 13. 93 14.14 14.35 14.55
59.61 60.59 61. 57 62.54 63.52 64.50 C05.47 66.45 67.43 68.41
12.94 13.16 13.37 13.58 13.79 14.00 14.2'l 14.43 14.64 14.85
13.20 13.42 13,64 13.85 14.07 14.29 14.50 14.72 14.93 15.15
14.76 14.97 15.18 15.39 15.69 15. SO 16. 01 16.22 16. 43 16.63
69.38 70.36 71.34 72.32 73. 29 74.27 75.25 76.22 77.20 78. IS
15.06 69.32 I 15.28 70.29 15.40 , 71.27 , 15.70 , 72.25 ' 15.91 , 73. 22 , 74.20 ' 16.13 16. 34 75.17 16.55 I 76.15 16. 76 ! 77.13 16.97 I 78. 10 ,
16.84 17.05 17.26 17.46 17.67 17.88 18.09 ' 18. 30 IS. 50 18.71
79.16 SO. 13 81.11 8a.09 83.06 84.04 85.02 86.00 86.97 87.95
17.19 I 79.08 I 17.53 i 17.75 ' 17.40 SO. 06 17.61 !, 81.03 ' 17.96 I 17.82 , 82.01 ' 18.1S IS.04 S2. 99 IS.40 18. til 18.25 83.96 18.46 84.94 IS.S3 IS. 67 85.91 19.05 19.21; IS. 88 86.~9 19.10 87.87 19.48 ,
18.92 19.13 19. 34 19.54 19.75 19.96 20.17 20.38 20.58 20.79
88.93 89.91
19.31 19.52 19.7S 19.94 20.16 20.37 20.58 20.79 21.01 21.22
90.88
I
91.86 92.84 93.81 94.79 95.77 96.75 97.72
1
I
Lat.
7io.
41479-10-3
Dep.
II
,
59.55 60.53 61.51 62.48 63.46 64.44 65.41 66.39 67.36 68.34
Lnt.
77W·
19.70 19.91 20.13 20.35 20.56 78 20. 20.99 21.21 21.43 21.64
9O.~0
Dep.
;
Dep.
51 52 53
54. 62 55.59 56.57 57.55 58. 52
12.36 12.58 12.80 I 13.02 I 13. 24
58 59 60
59.50 II 13.46 60.47 I 13.68 , 61. 45 1 13.90 ' 14.12 I 14.35 ; 64.37 I 14.57 ' 65.35 : 14.79 66.32 : 15.01 67.30 ' 15.23 08. 27 I 15.45 ,
61 62 63 64 65 66 (i7 68 69 70
~r.~
i i I
~U~ I ~ I 56 i 57
~::g
I
79.00 i 1l:88 79.98 I 1 JO Is.;S2 80.95 81. 93 82.90 1 76 83.88 It· 9BI 1 .20 I 84. 85 85.83 ' )9.42 86.S1 , 19. f4 87.78 ' 19.86
' '
88.76 89.73 90.71 ' 91. C,g ! 02.(i6 93.63 1 94.61 95.58 96.56 97.1i3
I
77J1io.
Dep.
71 72 73 74
75 76
77
78 79 SO 81 82
tM
83
20.08 20.30 20.52 20.75 20.97 21. 19 21. 41 21.ti:J 2:.85 22. 07
91 92 93 94 95
-- -- -Lat.
=
~
11.26 49.74 50.72 I 11.48 51.69111.70
I
88.84 89.82 91. i7 92.75 ! 93.72 94.70 95.68 96.65 97.63 -----
I
'!n
15.37 69.25 I 15.67 ' 15.58 70.22 15.89 15. SO 71.20 16.11 16.02 72.18 16.33 ' 16.23 1 73.15 , 16.55 16.45 I 74.13 ' 16. 77 16. 67 I 75.10 , 16.99 16.88 ' 76. 08 , 17.21 77.05 I 17.44 17.10 17.32 ! 78. 03 i 17.66 I
I
!
- - - - .--
Dep.
Dep.
- - ---
49.84 50.82 51. 79 52.77 53.75 54.72 55.70 56.68 57.66 58.63
1
--,~
1~.0.
Lat.
_.
-_. 77~o.
84 85 86 S7 88 S9 90
96
97 98 99 100
--
J
is
I
TABLE 4.-TBA VERSE TABLE. t:I
!i rl
fI
I
Lat.
I
13)40.
13°.
Lat.
Dep.
Dep.
!
13~".
I
Lat.
i
Dep·1
t:I
13~0.
Lat.
Dep.
!i rl ~
- - ------ --- --- --- ---I --- - - - I 2 3 4 5 6 7 8 9 10
0.97 1.95 2.92 3.90 4.87 6.85 6.82 7.79 8. 77 9.74
0.22 0.45 0.67 0.90 1.12 1.35 1.57 1.80 2.02 2.25
0.97 1. 95 2.92 3.89 4.87 5.84 6.81 7.79 8.76 9.73
0.23 0.46 0.69 0.92 1. 15 1.38 1.60 1.83 2.06 2.29
0.97 1. 94 2.92 3.89 4.86 5.83 6.81 7.78 8.75 9.72
0.23 0.47 0.70 0.93 1.17 1.40 1.63 1. 87 2.10 2.33
0.97 1.94 2.91 3.89 4.86 5.83 6.80 7.77 8. 74 9.71
0.24 0.48 0.71 0.95 1.19 1.43 1.00 1.90 2.14 2.38
7 8 9 10
11 12 13 14 15 16 17 18 19
10.72 11.69 12.67 13.64 14.62 16.59 16. 56 17.64 18. 51 19.49
2.47 2.70 2.92 3.15 3.37 3.60 3.82 4.05 4.27 4.50
10.71 11. 68 12.65 13.63 14.60 15.57 16.55 17.52 18.49 19.47
2.52 2.75 2.98 3.21 3.44 3.67 3.90 4.13 4.35 4.58
10.70 11.67 12.64 13.61 14.59 15.56 16.53 17.50 18.48 19.45
2.57 2.80 3.03 3.27 3.50 3.74 3.97 4.20 4.44 4.67
10.68 11.66 12.63 13.60 14.57 15.64 16.51 17.48 18.46 19.43
2.61 2.85 3.09 3.33 3.57 3.80 4.04 4.28 4.52 4.75
11 12 13 14 15 16 17 18 19 20
20.46 21.44 22.41 23.38 24.36 25.33 26. 31 27.28
20.44 21.41 22.39 23.36 24.33 25.31 26.28 27.25 28.23 29.20
4. 81 6.04 5.27 5.50 5.73 5.96 6.19 6.42 0.65 6.88
20.42 21. 39 22.36 23.34 24.31 25.28 26.25 27.23 28.20 29.17
4.90 5.14 5.37 5.60 5.84 6.07 6.30 6.64 6.77 7.00
20.40 21.37 22.34 23.31 24.28 25.25 26.23 27.20 28.17 29.14
4.99 5.23 5.47 5.70 5.94 6.18 6.42 6.66 6.89 7.13
21 22 23 24 25 26 27 28 29 30
20
1 2 3 4 5
6
27 28 29 30
29.23
4.72 4. 95 5.17 5.40 5.62 6.85 6.07 6.30 6.52 6.75
31 32 33 34 35 36 37 38 39 40
30.21 31.18 32.15 33.13 34.10 35.08 36.05 37.03 38.00 38.97
6.97 7.20 7.42 7.65 7.87 8.10 8.32 8.55 8.77 9.00
30.17 31.15 32.12 33.09 34.07 35.04 36.02 36.99 37.96 38.94
7.11 7.33 7.56 7.79 8.02 8.25 8.48 8.71 8.94 9.17
30.14 31.12 32.09 33.06 34.03 35. 01 35.98 36.95 37.92 38.89
7.24 7.47 7.70 7.94 8.17 8.40 8.64 8.87 9.10 9.34
30.11 31.08 32.05 33.03 34.00 34.97 35.94 36.91 37.88 38.85
7.37 7.61 7.84 8.08 8.32 8.56 8.79 9.03 9.27 9.51
31 32 33 34 35 36 37 38 39 40
41 42 43
3Q.95 40.92 41.90 42.87 43.85 44.82 45. 80 46.77 47.74 48.72
9.22 9.45 9.67 9.90 10.12 10.35 10.57 10.80 11.02 11.25
39.91 40.88 41. 86 42.83 43.80 44.78 45.75 46.72 47.70 48. 67
9.40 9.63 9.86 10.08 10.31 10.64 10.77 11.00 11.23 11.46
39.87 40.84 41. 81 42.78 43.76 44.73 45.70 46.67 47.65 48.62
9.57 9.80 10.04 10.27 10.51 10.74 10.97 11.21 11.44 11.67
39.83 40.80 41.77 42.74 43.71 44.68 45.65 46.62 47.60 48.57
9.75 9.98 10.22 10.46 10.70 10.93 11.17 11.41 11.65 11.88
41 42 43
21 22
23
24
25
26
44 45 46 47 48 49
ro
1-
I A
28.26
44 45 46 47 48 49 51)
- - --- --- - - - ' - - - - - --- - - - - Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
,--
77 0•
I
761.4".
76~0.
76!4".
i A
, TABLE ".-TRAVERSE TABLE.
NIVEIU OF
'FOR
r- ' .
"""'"
. t:I
13 0
![
I
13~o
13~"
13l1,4 0
~
Lat.
51 52 53 54 55 56 57 58 59 60
49.69 11.47 00.67 11.70 11.92 51.64 12.15 52.62 12.37 53.59 54.56 ' 12.60 55.54 12.82 56.51 13.05 57.49 13.27 58.46 13.00
49.64 00.02 51.59 62.56 53.54 54.51 55.48 56.46 57.43 58.40
1l.G9 11.92 12.15 12.38 12.61 12.84 13.06 13.29 13.52 13.75
49.59 00.56 51.54 52.51 53.48 54.45 55.43 56.40 57.37 58.34
11.91 12.14 12.37 12.61 12.84 13.07 13.31 13.54 13.77 14.01
49.54 00.51 51. 48 52.45 53.42 64.40 55.37 56.34 57.31 68.28
12.12 12.36 12.60 12.84 13.07 13.31 13.55 13.70 14.02 14.26
61 62 63 64 65 66 67 68 69 70
59.44 60.41 61.39 62.36 63.33 64.31 65.28 00.26 67.23 68.21
14.62 14.85 15.07 15.30 15.52 15.75
59.38 60.35 61.32 62.30 (,3.27 64.24 65.22 66.19 67.16 68.14
13.98 14.21 14.44 14.67 14.90 15.13 15.36 15.59 15.81 16.04
59.31 60.29 61.26 62.23 63.20 64.18 65.15 66.12 67.09 68.07
14.24 14.47 14.71 14.94 15.17 15.41 15.64 15.87 16.11 16.34
59.25 60.22 61.19 62.17 63.14 64.11 65.08 66.05 67.O'J 67.09
14.00 14.74 14.97 15.21 15.45 15.69 15.92 16.10 16.40 16.64
71 72 73 74 75 76 77 78 79 80
69.18 70.15 71.13 72.10 73.08 74.05 75.03 76.00 76.98 77.95
15.97 16.20 16.42 16.65 16.87 17.10 17.32 17.55 17.77 18.00
69.11 70.08 71.06 72.03 73.00 73.98 74.95 75.92 76.90 77.87
16.27 16.00 16.73 16.96 17.19 17.42 17.65 17.88 18.11 18.34
69.04 70.01 70.98 71. 96 72.93 73.90 74.87 75.84 76.82 77.79
16.57 16.81 17.04 17.27 17.51 17.74 17.98 18.21 18.44 18.68
68.97 60.94 70.91 71.88 72.&, 73.82 74.79 75.76 76.74 77.71
16.88 17.11 17.35 17.59 17.83 18.06 18.30 18.54 18.78 19.01
81 82 83 84 85 86 87 88 89 90
78.92 79.90 80.87 81.85 82.82 83.80 84.77 85.74 86.72 . 87.69
18.22 18.45 18.67 18.90 19.12 19.35 19.57 19.80 20.02 20.25
78.84 79.82 80.79 81. 76 82.74 83.71 84.M 85.66 86.ti3 87.60
18.57 18.79 19.02 19.25 19.48 19.71 19.94 20.17 20.40 20.63
78.76 79.73 SO. 71 81. 68 82.65 83.62 84.60 85.57 86.54 87.51
18.91 19.14 19.38 19.61 19.84 20.08 20.31 20.54 20.78 21.01
78.68 79.65 80.62 81. 59 82.56 83.54 84.51 85.48 86.45 87.42
19.25 19.49 19.73 19.97 20.20 20.44 20.68 20.92 21.15 21.39
91 92 93
88.67 89.64 90.1;2 91. 59 92.57 93.54 94.51 95.49 96.46 97.44
20.47 20.70 2il.92 21.15 21.37 21.60 21.82 22.05 22.27 22.00
88.68 89.55 90.52 91. 5G 92.47 93.44 94.42 95.39 96.36 97.34
20.86 21.09 21.32 21. 54 21. 77 22.00 22.23 22.46 22.69 22.92
88.49 89.46 90.43 91. 40 92.38 93.35 94.32 95.29 00.26 97.24
. 21. 24 21. 48 21.71 21.94 22.18 22.41 22.64 22.88 23.11 23.34
88.39 89.36 90.33 91.31 02.28 93.25 94.22 95.19 00.16 97.13
21. 63 21.87 22.10 22.34 22.68 22.82 23.06 23.29 23.53 23.77
Dep.
Lat.
Lat.
Dep.
Dep.
Lat.
Dep.
- - --- - - - - - - - - - - - - - - - - - - - - -
94
95 96 97 98 99
100
13.72 13.95 14.17
14.40
- - --- - - -
8
j
A
Dep.
Let. 77 0
--- - - - - - - --- --- --Dep.
Lat.
Dep.
Lat.
76~o
'76U 0 36
Dep.
Lat.
70~o
T.lBLJil f.-TUVEB8E UBLB. t::l
I
Lat.
·14~·.
14~o.
14°.
~
Dep.
------
~IDep.
Lat.
t::l
U~4°·
I.at.
Dep.
Dep.
f
------ - - - - - -/ -
1 2 3 4 5 6 7 8 9 10
0.97 1.04 2.91 3.88 4.85 5.82 6.79 7.76 8.73 9.70
0.24 0.48 0.73 0.97 1.21 1.45 1.69 1.94 2.18 2.42
0.97 1.94 2.91 3.88 4.85 6.82 6.78 7.75 8.72 9.69
0.25 0.49 0.74 0.98 1.23 1.48 1.72 1.97 2.22 2.46
0.97 1.94 2.90 3.87 4.84 5.81 6.78 7.75 8.71 9.68
0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50
0.97 1.93 2.90 3.87 4.84 5.80 6.77 7.74 8.70 9.67
0.25 0.51 0.76 1.02 1.27 1.53 1.78 2.04 2.29 2.55
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10.67 11.64 12.61 13.58 14.55 15.52 16.50 17.47 18.44 19.41
2.66 2.90 3.14 3.39 3.63 3.87 4.11 4.35 4.60 4.84
10.66 11.63 12.60 13.57 14.54 15.51 16.48 17.45 18.42 19.38
2.71 2.95 3.20 3.45 3.69 3.94 4.18 4.43 4.68 4.92
10.66 11.62 12.69 13.55 14.62 15.49 16.46 17.43 18.3\1 19.36
2.75 3.00 3.25 3.61 3.76 4.01 4.26 4.51 4.70 5.01
10.64 11.60 12.57 13.54 14.51 15.47 16.H 17.41 18.37 19.34
2.80 3.06 3.31 3.56 3.82 4.07 4.33 4.68 4.84 5.09
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
20.38 21.35 22.32 23.29 24.26 25.23 26.20 27.17 28.14 211.11
5.08 5.32 6.56 5.81 6.05 6.29 6.53 6.77 7.02 7.26
20.35 21.32 22.29 23.26 24.23 25.20 26.17 27.14 28.11 211.08
5.17 5.42 5.66 5.91 6.15 6.40 6.66 6.89 7.14 7.38
20.33 21.30 22.27 23.24 24.20 25.17 26.14 27.11 28.08 29.04
6.26 6.51 5.76 6.01 6.26 6.51 6.76 7.01 7.26 7.61
20.31 21.28 22.24 23.21 24.18 25.14 26.11 27.08 28.04 29.01
5.35 6.60 5.86 6.11 6.37 6.62 6.87 7.13 7.38 7.64
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 40
30.08 31.05 32.02 32.99 33.96 34.9.1 35.90 36. 87 37.84 38.81
7.60 7.74 7.98 8.23 8.47 8.71 8.95 9.19 9.43 9.68
30.05 31.02 31.98 32.95 33.92 34.89 35.86 36.83 37.80 38.77
7.63 7.88 8.12 8.37 8. 62 8.86 9.11 9.35 9.60 9.85
30.01 30.98 31. 95 32.92 33.89 34.85 35.82 36.79 37.76 38.73
7.76 8.01 8.26 8.51 8.76 9.01 9.26 9.51 9.76 10.02
29.98 30.95 31.91 32.88 33.85 34.81 35.78 36.75 37.71 38.68
7.89 8.15 8.40 8.66 8.91 9.17 9.42 9.67 9.93 10.18
31 32 33 34 35 36 37 38 3\1 40
41 42 43 44 45 46 47 48 49 50
3\1,78 40.75 41. 72 42.69 43.66 44.63 45.60 46. 67 47.M 48.51
9.92 10.16 10.40 10.64 10.89 11.13 11.37 11.61 11.85 12.10
39.74
10. 09 10.34 10.58 10.83 11.08 11.32 11.57 11.82 12.06 12.31
39.69 40.66 41.63 42.60 43.67 44.53 45.50 46. 47 47.44 48.41
10.27 10.62 10.77 11.02 11.27 11.62 11.77 12.02 12.27 12.62
39.66 40.62 41.58 42.55 43.52 H.48 45.45 46. 42 47.39 48. 35
10.44 10.69 10.95 11.20 11.46 11.71 11.97 12.22 12.48 12.73
41 42 43 44 45 46 47 48 49 50
39
40.71 41.68 42.66 43.62 44.68 45.55 46.62 47.49 48.46
- - --- --- ------ --- --- -
j A
Dep.
Lat. 70".
Dep.
Dep.
Lat.
Lat.
75~0.
75~·.
36
----Dep.
I
Lat.
8c
11
75)(°.
.!! A
TARLE 4.-TRAVERSE TARtF.. t;j
J --
Dep.
Lat.
14~0.
14~0.
14°.
IE
Lat.
Dep.
14W·
Lat.
:Qep.
Lat.
t;j
f
Dep.
16
12.98
13. 49 13. 75 14.00 14. 26 14.51 14. 77 15.02 15.28
51 52 53 04 50 56 57 58 69 60
--- --- ------ -
51 52 53 04 50 56 57 58 59 60
49. 49 50.46 51.43 52.40 53.37 04.34 50.31 56.28 57.2f> 58.22
12.34 12.58 12. 82 13.06 13.31 13.50 13.79 14.03 14.27 14.52
49.43 50.40 51.37 52.34 53.31 04.28 50.25 56.22 57.18 58.15
12.50 12.80 13.05 13. 29 13.04 13.78 14.03 14.28 14.52 14.77
49.38 50.34 51.31 52.28 53.25 04.22 50.18 56.15 57.12 58.09
12.77 13.02 13. 27 13. 52 13.77 14.02 14.27 14.52 14.77 l5. 02
49.32 50.29 51. 25 52.22 53.19 04.15 50.12 56.09 57.06 58.02
61 62 63 66 67 68 69 70
69.19 60.16 61.13 62.10 63.07 64.04 65.01 65.98 66.95 67.92
14.76 15.00 15.24 15. 48 15.72 l5. 97 16.21 16.45 16.69 16.93
59.12 60.09 61.06 62.03 63.00 63.97 64.94 65.91 66.88 67.85
15. 02 15.26 15.51 15. 75 16.00 16.25 16.49 16.74 16.98 17.23
69.06 60.03 60.99 61.96 62. 93 63.90 64.87 65.83 66.80 67.77
15.27 15.52 15. 77 16.02 16.27 16.53 16.78 17.03 17.28 17.53
58.99 69.96 60.92 61.89 62.86 63.83 64.79 65.76 66.73 67.69
15.53 15.79 16.04 16.29 16.50 16.80 17.06 17.31 17.57 17.82
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
68.89 69.86 70.83 71.80 72.77 73.74 74.71 75.68 76.65 77.62
17.18 17.42 17.66 17.90 18.14 18.39 18.63 18.87 19.11 19.35
68.82 69.78 70.75 71. 72 72.69 73.66 74.63 75.60 76.57 77.04
17.48 17.72 17.97 18.22 18.46 18.11 18.95 19.20 19.45 19.69
68.74 69. 71 70.67 11.64 72. 61 73.58 74.50 75.52 76.48 77.45
17.78 18.03 18.28 18.53 18.78 19.03 19.28 19.53 19.78 20.03
68.66 69.63 70.59 71.56 72.53 73.50 74.46 75.43 76.40 77.36
18.08 18.33 18.69 18.84 19.10 19.35 19.60 19.86 20.11 20.37
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
78.69 79.56 SO. 53 81.50 82.48 83.45 84.42 85.39 86.36 87.33
19.60 19.84 20.08 20.32 20.56 20.81 21.05 21.29 21.53 21.77
78.51 79.48 SO. 45 81.42 82.38 83.35 84.32 85.29 86.26 87.23
19.94 20.18 20.43 20.68 20.92 21.17 21. 42 21.66 21.91 22.15
78.42 79.39 SO. 36 81.32 82.29 83.26 84.23 85.20 86.17 87.13
20.28 20.53 20.78 21.03 21.28 21. 53 21.78 22.03 22.28 22.53
78.33 79.30 SO. 26 81.23 82.20 83.17 84.13 85.10 86.07 87.03
20.62 20.88 21.13 21.39 21.64 21.90 22.15 22.40 22.66 22.91
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
88.30 89.27 90.24 91. 21 92.18 93.15 94.12 95.09 96.06 97.03
22.01 22.26 22.50 22.74 22.98 23.22 23.47 23.71 23.95 24.19
88.20 89.17 90.14 91.11 92.08 93.05 94.02 94.98 . 95.95 96.92
22.40 22.65 22.89 23.14 23.38 23.63 23.88 24.12 24.37 24.62
88.10 89.07 90.04 91.01 91. 97 92.94 93.91 94.88 95.85 96.81
22.78 23.03 23.29 23.04 23.79 24.04 24.29 24.04 24.79 25.04
88.00 88.97 89.94 90.90 91.87 92.84 m.80 94.77 95.74 96.70
23.17 23.42 23.68 23.m 24.19
91 92 93 94 95 96 97 98 99 100
64
b5
13.24
24.44
24.70 24.95 25.21 25.46
- - ------ --- - - - ------ - - - - - - - -
j A
Lat.
Dep.
Dep.
Dep.
Lat.
Dep.
Lat.
Lat.
8
j 76°.
15M".
75~0.
7514".
I
37
.!l
A
TABLE 4.-TRAVERSE TABLE.
-
t:j
f
16°.
Lat.
15)4°.
Dep.
Ll\t.
Dep.
Lat.
t:j
15".4°.
15W.
Dep.
Lat.
Dep.
J
- - - - - - - - ---i - --- --- ------ - I 2 3 4 5 6 7 8 9 10
0.97 1.93 2.90 3.86 4.83 5.80 6.76 7.73 8.69 9.66
0.26 0 ..~2 0.78 1.04 1.29 1.55 1.81 2.07 2.33 2.59
0.96 1.93 2.89 3.86 4.82 5.79 6.75 7.72 8.68 9.65
0.26 0.1>3 0.79 1.05 1.32 1.58 1.84 2.10 2.37 2.63
11 12 13 14 15 16 17 18 19 20
10.63 11.59 12.56 13.52 14.49 15.45 16.42 17.39 18.35 19.32
2.85 3.11 3.36 3.62 3.88 4.14 4.40 4.66 4.92 5.18
10.61 11.58 12.M 13.51 14.47 15.44 16.40 17.37 18.33 19.30
2.89 3.16 3.42 3.95 4.21 4.47 4.73 5.00 6.26
21 22 23 24 25 26 27 28 20 30
20.28 21.2.'; 23.18 24.15 25.11 26.08 27.05 28.01 28.98
5.44 5.69 5.95 6.21 6.47 6. i3 6.99 7.25 7.51 7.76
20.26 21.23 22.19 23.15 24.12 25.08 26.05 27.01 27.9R 28.94
6.52 6.79 6.05 6.31 6.58 6.84 7.10 7.36 7.m 7.89
20.24 21.20 22.16 23.13 24.09 25.05 26.98 27.95 28.91
5.61 6.88 IU5 6.41 6.68 6.95 7.22 7.48 7.75 8.02
31 32 33 34 35 36 37 38 39 40
29.94 30.91 31.88 32.84 33.81 34.77 35.74 36.71 37.67 38.1;4
8.02 8.28 8.54 8.80 9.06 9.32 9.58 9.81 10.09 10.35
29.91 30.87 31.84 32.80 33.77 34.73 35.70 36.66 37.63 38.59
8.15 8.42 8.r.s 8.94 9.21 9.47 9.73 10.00 10.26 10.52
29.87 3O.R4 31.80 32.76 33.73 34.69 35.65 36.62 37.58 38.55
41
39.00 40.57 41.53 42.50 43.47 44.43 45.40 46.30 47.33 48.30
10.61 10.87 11.13 11.39 11.6.'; 11.91 12.16 12.42 i 12.I;Il I 12.94 ,I
39.56 40.52 41. 49 42.45 43.42 44.:18 45.35 46.31 47.27 48.24
10. 7~
39.51 40.47 41. 44 42.40 43.36 44.33 45.29
Dep.
Lat.
Dep.
Lat.
42
43 44 45 46
47 48 49
22.2'1
I
3.f,~
0.27 0.53 0.80 1.07 1.34 1.60 1.87 2.14 2.41 2.67
0.00 1.92 2.89 3.85 4.81 6.77 6.74 7.70 8.66 9.62
0.27 O.M 0.81 1.09 1.36 1.63 1.90 2.17 2.44 2.71
1 2 3 4 5 6 7 8 9 10
10.60 11.56 12.53 13.49 14.45 15.42
2.94 3.21 3.47 3.74 4.01 4.28 4.54 4.81 5.08 6.34
10.59 11.55 12.51 13.47 14.44 15. 40 16.36 17.32 18.29 19.25
2.09 3.26 3.53 3.80 4.07 4.34 4.61 4.89 5.16 6.43
11 12 13 14 15 16 17 18 19 20
20.21 21.17 22.14 23.10 24.06 25.02 25.99 :lB. 95 27.91 28.87
5.70 5.97 6.24 6.51 6.79 7.06 7.33 7.60 7.87 8.14
21 22 23 24 25 26 27 28 29 30
8.28 8.55 8.82 9.{J9 9.35 9.62 9.89 10.16 10.42 10.69
29.84 30.80 31. 76 32.72 33.69 34. fl5 35.61 36.57 37.54 38.50
8.41 8.69 8.90 9.23 9.50 9.77 10.04 10.31 10.59 10.86
31 32 33 34
47.22 48.18
10.96 11.2"2 11. 49 11.76 12.03 12.29 12.56 12.83 13.09 13.36
39.46 40.42 41.39 42.35 43.31 44.27 45.24 46.20 47.16 48.12
11.13 11.40 11.67 11. 94 12.21 12.4\l 12.76 13.03 13.30 13.57
Dep.
Lat.
16.38
17.3,0; 18.31 19.27
26.02
1l.0.~ I I
11.31
~U~ ! ~g~1 12.63 12.80 13.15
0.00 1. 93 2.89 3.85 4.82 5.78 6.75 7.71 8.67 9.04
I
I
46.2.~
I
i
- - - -I - 1 - - I 00
~ S
~
'
75°.
I
.
74'.4..
I 38
74~0.
!DeP.
I
~
74)4°.
3.0;
36 37 38 39 40 41 42
43 44 45 46
47 48 49 50 ---
i i5
TABLtl 4.-TRAVERSE TABLE.
,.
15 0•
t:)
J
Lat.
I
15W.
Dep.
Lat.
15~0.
Lat.
Dep.
Dep.
15~0.
Lat.
Dep.
,.
t:)
S1:1 ~
- - --- - - - --- - - - - - - - - - - - - - - - - 13.63 13.90 14.16 14.43 14.70 14.97 15.23 15.50 15.77 16.03
49.09 50.05 51.01 51.97 52.94 53.90 54.86 M.82 56.78 57.75
51 52 63 54 M 56 57 68 59 60
49.26 50.23 51.19 52.16 53.13 54.09 M.06 66.02 66.99 57.96
13.20 13.46 13.72 13.98 14.24 14.49 14.75 15.01 15.27 15.53
49.20 50.17 51.13 52.10 53.06 54.03 54.99 M.96 66.92 57.89
13.41 13.68 13.94 14,20 14.47 14.73 14.99 15.26 15.52 15.78
49.15 50.11 51.07 52.04 63.00 53.96 54.93 M.89 66.85 57.82
61 62 63 64 65 66 67 68 69 70
68.92 59.89 60.85 61.82 62.79 63.75 64.72 65.68 66.65 67.61
15.79 16. 05 16. 31 16.56 16.82 17.08 17.34 17.60 17.86 18.12
68.85 59.82 60.78 61.75 62.71 63.68 64.64 65.61 66 57 67.54
16.04 16.31 16.57 16.83 17.10 17.36 17.62 17.89 18.15 18.41
68.78 59.75 60.71 61.67 62.64 64.56 65.63 66.49 67.45
16.30 16.57 16.84 17.10 17.37 17.64 17.90 18.17 18.44 18.71
71 72 73 74 75 76 77 78 79 80
68.68 69.M 70.51 71.48 72.44 73.41 74.38 75.34 76.31 77.27
18.38 18.63 18.89 19.15 19.41 19.67 19.93 20.19 20.45 20.71
68.50 69.46 70.43 71.39 72.36 73.32 74.29 75.25 76.22 77.18
18.68 18.94 19.20 19.46 19.73 19.99 20.25 20.52 20.78 21.04
68.42 69.38 70.35 71.31 72.27 73.24 74.20 75.16 76.13 77.09
81 82 83 84 "85 86 87 88 89 90
78.24 79.21 80.17 81.14 82.10 83.07 84.04 85.00 85.97 86.93
20.96 21.22 21. 48 21. 74 22.00 22.26 22.52 22.78 23.03 23.29
78.15 79.11 80.08 81.04 82.01 82.97 83.94 84.90 85.87 86.83
21.31 21.57 21.83 22.09 22.36 22.62 22.88 23.15 23.41 23.67
91 92 03 94 95 96
87.90 88.87
23.M 23.81 24.07 24.33 24.59 24.85 25.11 25.36 25.62 25.88
87.80 88.76 89.73 90.69 91.65 92.62 93.58 94.M 95.51 96.48
23.94 24.20 24.46 24. i2 24.99 25.25 25.51 25.78 26.04 26.80
97
98 99 100
89.8~
90.80 91. 76 92.73 93.69 94.66 95.63 96.59
14.93 15.20 15.47 15.74 16.01 16.29
51 52 63 54 55 66 57 68 59 60
68.71 59.67 60.63 61.60 62.66 63.52 64.48 65.45 66.41 67.37
16.66 16.83 17.10 17.37· 17.64 17.92 18.19 18.46 18.73 19.00
61 62 63 64 65 66 67 68 69 70
18.97 19.24 19.51 19.78 20.04 20.31 20.68 20.84 21.11 21.38
68.33 69.30 70.26 71.22 72.18 73.15 74.11 75.07 76.03 77.00
19.27 19.54 19.82 20.09 20.36 20.63 20.90 21.17 21.44 21. 72
71 72 73 74 75 76 77 78 79 80
78.05 79.02 79.98 80.94 81. 91 82.87 83.84 84.80 85.76 86.73
21.65 21.91 22.18 22.45 22.72 22.98 23.25 23.52 23.78 24.05
77.96 78.92 79.88 80.85 81.81 82.77 83.73 84.70 85.66 86.62
21.99 22.26 22.63 22.80 23.07 23.34 23.62 23.89 24.16 24.43
81 82 83 84 85 86 87 88 89 90
87.69 88.65 89.62 90.58 91.54 92.51 93.47 94.44 95.40 96.36
24.32 24.59 24.85 25.12 25.39 25.65 25.92 26.19 26.46 26.72
63.60
- - - - - --- - - -I - - - - - - -
8
'" ]I
Lat.
Dep.
Dep.
Dep.
Lat.
13.84 14.11 14.39
Lat.
14.66
91 87.68 '24.70 88.M 24.97 92 89.51 93 25.24 94 90.47 25.52 91.43 25.79 95 92.40 26.00 96 97' 93.36 26.33 94.32 26.60 98 95.28 26.87 99 96.25 27.14 100 --- --- --
D"p.
Lat.
oJ
A
75 0.
74~0.
74~0.
39
74~·.
8
~
.l!I
A
'I'.lBLE 4.-tBAVB&8E TABLE.
~
g
.
1 2 3 4 5 6
Lat.
9 10
0.96 1.92 2.88 3.85 4.81 5.77 6. TJ 7.69 8.f>5 9.61
11 12 13
10.57 11.54 12. flO
7 8
14 15 l(j
17 18 19 20 21
22
i
16'.
tj
t:l.4fi
14.42 15.38 16.34 17.30 18. 26 19.23 20.19 21.15
22.11
Dep.
Lat.
0.28 0.55 0.83 : 1.10 i 1.38 1.65 1.9:1 2.21 2.48 2.76
I
Dep.. 0.28 0.56 0.84 1.12 1.40 1.68 1.06 2.24 2.62 2.80
10.56 3.03 3.31 I 11.52 3.58 il 12.48 86 13.44 3. 4.13 1 14.40 4.41 . 15.36 4.69 16.32 17.28 4.96 18.24 5.24 19.20 5. 51 20.16 21.12
5.79 6.06 6.34 6.62 6.89 7.17 7.44 7.72 7.99 8.'n
23.07 24.03 24.99 25.95 26.92 27.88 28.84
31 32 33 34 35 36 37 38 39
9.37 9.65 9.92 10.20
40
29.80 30.76 81.72 3268 33.64 34. 61 35.57 36.53 37.49 38.45
41 42 43 44 4li 46 • 47 48 49 60
39.41 40.37 41. 33 42.30 43.26 44.22 45.18 40. 14 47.10 48.06
11.30 11.58 11. 85 12. 13 12.40 12.68 12.95 13.23 13.51 13.78
23.04 24.00 24.96 25.92 26.88 27.84 28.80
9.10
t8: ~~ 11.03
9.60
22.08
8.54 8.8'2
I
I I
29.76 30.72 31.68 32.64
33.60
34.5(, 35.53 36,48 37.44 38.40 39.36 40.32 41. 28 42. 24 4.1.20 44.16 45. 12 46.08 47.04 48.00
I
----I
0.96 1.92 2.88 3.84 4.80 5. 76 6.72 7.68 8.64
23 24 25 26 'n 28 29 30
· I
16~'.·
1
i
16~·.
Lat.
1~'.
Dep.
La&.
tj
Dep.
~f
~
0.96 1.92 2.88 3.84 4.79 5. 75 6.71 7.67 8.63 9.59
0.28 0.57 0.85 1.14 1.42 1. '(0 1.99 2.27 2.56 2.84
0.96 1.92 2.87 3.83 4.79 5. 75 6. 70 7.00 8.62 9.58
0.29 0.58 0.86 1.16 1.44 2.31 2.59 2.88
7 8 9 10
3.08 3.36 3.64 3.92 4.20 4.48 4.76 5.04 5.32
5.60
10.55 11.61 12.46 13.42 14.38 15.34 16.30 17.26 18.22 19.18
3.12 3. 41 3. eo 3.118 4.26 4.54 4.83 5.11 5.40 5.68
10.63 11.49 12.45 13.41 14.36 15.32 16.28 17.24 18.19 19.15
3.17 3.46 3.75 4.03 4.32 4.61 4.90 6.19 5.48 5. 76
11 12 13 14 16 16 17 18 19
5.88 6.16 6.44 6.72 7.00 7.28 7.56 7.84 8.12 8.39
20.14 21.00 22.05 23.01 23.97 24.93 25.89 20.85 27.81 28.76
5.GB 6.25 6.53 6.82 7.10 7.38 7.67 7.95 8.24 8.52
20.11 21.07
6.05 6.34 6.63 6.92 7.20 7.49 7.78 8.07 8.36 8.65
29.72 30.68 31.64 32.60 33.56
8.80 9.00 9.37 9.66 9.94 10.22 10.51
I
8.67 8.95 9.23 9.51 9.79 , 10.07 10.35 1
1.73 2.02
22.02 22.98 23.94 24.90 25.85 26.81 27.77 28.73
8.93 9.22 9.51 9.80
10.09 10.38
11.19
36.44 37.39 38.35
29.68 30.64 31.00 32.56 33.61 34.47 35.4.1 36.39 37.35 38.30
11.47 11.75 12.03 12.31 12.59 12.87 13.15 13.43 13.71 13.99
39.31 11.64 39.26 40.27 11. 93 40.22 41.23 12. 21 41.18 42. 19 12. 60 42. 13 43.1512.7843.00 44.11 13.06 «.05 45. 06 13.35 45.01 46.02 13.63 45.9(\ 46.98 13.92 46.92 47.94 14.20 47.88
11.82 12. 10 12. 39 12.68 12.97 13.26 13.55 13.83 14.12 14.41
10.63 10.91
~:~
10.79 11.08 11.36
10.66
10.95
11.24 11.53
1 2 3 4 6
6
20 21
22
23
24 25 26 'n 28 29 30
3t 32 33 34 35 36 37 38 39
40 41 42 43 44 4li 46 47 48 49 60
1 - - - - ---- ------- - - - ---- ---- ----1Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat.
~ _ _ ~4··___ .1
73~·.
73~·.
73~·.
~-------~--------~--------~---
40
TABLE 4.-TRAVI'lIt8E TABLE.
t:1
-
16~·.
16".
II
f
Lat.
Dep.
Lat.
51 52 63 54 55 56 57 58 59 60
49.d! 49.99 60.95 61.91 62.87 63.83 M.79 55.75 56.71 67.68
14.06 14.33 14.61 14.88 16.16 15.44 15.71 16.99 16.2(i 16.54
48.96 49.92 60.88 61.84 62.80 63.76 54.72 55.68 56.64 67.60
81 82 63 64
58.64 59.60 60.66 61.52 82.48 63.44 64.40 65.37 66.33 67.29
16.81 17.09 17.37 17.64 17.92 18.19 18.47 18.74 19.02 19.29
58.5f, 69.52 60.48 61.44 62.40 63.36 64.32 65.28 66.24 67.:In
68.25 69.21 70.17 71.13 72.09 73.06 74.02 74.98 76.94 76.90
19.67 19.85 :In. 12 :In. 40 20.67 :In. 95 21.22 21.60 21.78 22.05
68.16 69.12 70.08 71.04 72.00 72.96 73.92 74.88 75.84 76. SO
19.87 :In. 15 :In. 43 :In. 71 :In. 99 21.Zl 21..55 21.83
77.86 78.82 79.t8 SO. t5 81.71 82.67 83.63 84.59 85.55 86.61
22.33 22.00 22.88 23.15 23.43 2:1. 70 23.98 24.26 24.63 24.81
77.76 78.72
SO.f" 81.60 82.56 83.62 84.48 85.44 86.40
22.67 22.95 23.23 23.51 23.79 24.07 24.35 24.62 24.90 25.18
87.47 88.44 89.40 90.36 91.32 92.28 93.24 94.:In 95.16 96.13
25.08 25.36 25.63 25.91 21\.19 26.46 26.74 Zl.OI Zl.29 Zl.66
87.36 88.32 89.28 90.24 91. :In 92.16 93.12 94.08 95.04 96.00
25.46 25.74 26.02 26.30 26.58 26.86 Zl.14 Zl.42 Zl.70 Zl.98
65 M 67 68 89 70 71 72
73 74 75 76 77 78 79 III 81 82 83 84 85
86 87 88 89
90
III 92 113 94 95
96 117 118
119 100
79.68
I
16~·.
161,4".
~IDep.
I
t:1
f
Lat.
Dep.
14.Zl 14.55 14.83 15.11 15.39 15.67 15.95 16.23 16.51 16.79
48.90 49.86 60.82 61.78 62.74 53.69 54.65 56.61 66.57 67.53
14.48 14.77 15.05 16.34 15.62 15.90 16.19 16.47 16.76 17.04
48.84 49.79 60.75 51.71 62.67 53.62 M.58 55.54 56.50 67.45
14.70 14.99 15.Zl 16.56 15.85 16.14 16.43 16.72 17.00 17.29
51 62 63 M 55 56 57 68 69 60
17.07 17.35
58.49 69.45 60.41 61.36
17.32 17.61 17.89 18.18 18. 46 18. 75 19.03 19.31 19.60 19.88
58.41 69.37 60.33 61.28 62.24 63:1n 64.16 65.11 66.07 67.03
17.68 17.87 18.16 18.44 18.73 19.02 19.31 19.60 19.89 :In. 17
61 62 63 64 85 M 67 68
20.17 :In. 45 20.73 21.02 21.30 21.69 21.87 22.16 22.44 22.72
67.90 68.95 69.90 70.86 71.82 72.78 73.73 74.69 76.85 76.61
:In. 46 20.75 21.04 21.33 21.61 21.90 22.19 22.48 22.77 23.06
71 72 73 74 75 76 78 79 80
77.56 78.52 79.48
81.50 82.46 83.42 84.38 85.33 86.29
23.01 23.29 23.57 23.86 24.14 24.43 24.71 24.99 25.28 25.&6
23.34 23.63 23.92 24.21 24.60 24.78 25.07 25.36 25.65 25.94
81 82 83 84 85 86 87 88 89 90
87.25 88.21 89.17 90.13 91.09 92.05 93.01 93.96 94.92 95.88
25.85 26.13 26.41 26.70 26.98 Zl.Zl Zl.55 Zl.83 28.12 28.40
26.23 26.51 26. SO Zl.09 Zl.38 Zl.67 Zl.96 28.24 28.53
91 92 93 94
DeP'j
17.~.3
17.91
tt~~
62.32
I
18.75 19.03 19.31 19.59
22.11
22.39
63.28 64.24 65.:In 66.16 67.12 68.08 69.04 ~99
70.95 71.91 72.87 73.83 74.79 75.76 76.71
77.66 78.62 7f1.58
SO. 64
SO. 44
81.39 82.35 83.31 84.Zl 85.22 86.18
87.14 88.10 89.05 90.01 90.97 91.93 92.88 93.84 94. SO 95.76
28.S!
69
70
77
95
96
97
98 99 100
- - ------ I - - - - - - - - - - - - - - - - - -
j Q
Dep.
Lat. 74°.
Dep.
Dep.
Lat.
~
73~·.
I
41
Lat.
.. I
Dep. ~
Lat.
..
j .1!l
A
TABLE 4.-TBAVEItSE TABLE.
--
i ~
17 0.
Lat.
Lat.
Dep.
Lat.
Dep.
t:;j
17,,0.
17~0.
17~0.
Dep.
Lat.
Ii"
Dep.
J
- - - - - --- - - - - - - --- ---- - - - - - - I 2 3 4 5 6 7 8 9 10
0.96 1.91 2.87 3.83 4.78 5.74 6.69 7.65 8.61 9.56
0.29 0.58 0.88 1.17 1.46 1.75 2.05 2.34 2.63 2.92
0.96 1.91 2.87 3.82 4.78 5.73 6.69 7.64 8.60 9.55
0.30 0.59 0.89 1.19 1. 43 1.78 2.08 2.37 2.67 2. 97
0.95 1.91 2.86 3.81 4.77 5.72 6. fJ8 7.63 8.58 9.54
0.30 0.60 0.90 1.20 1.50 1.80 2.10 2.41 2.71 3.01
0.95 1.90 2.86 3.81 4.76 5.71 6.67 7.62 8.57 9.52
0.30 0.61 0.91 1.22 1.52 1.83 2.13 2.44 2.74 3.05
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10.52 11.48 12.43 13.39 14.34 15.30 16.26 17.21 18.17 19.13
3.22 3.51 3.80 4.09 4.39 4.68 4.97 5.26 5.56 5.85
10.51 11.46 12.42 13.37 14.33 15.28 16.24 17.19 18.15 19.10
3.26 3.56 3.86 4.15 4.45 4.74 5.04 5.34 5.63 5.93
10.49 11.44 12.40 13.35 14.31 15.26 16.21 17.17 18.12 19.07
3.31 3.61 3.91 4.21 4.51 4.81 5.11 5.41 5.71 6.01
10.48 11.43 12.38 13.33 14.29 15.24 16.19 17.14 18.10 19.05
3.35 3.66 3.96 4.27 4.57 4.88 5.18 5.49 5.79 6.10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 29 30
20.08 21.04 22.00 22.95 23.91 24. 86 25.82 26.78 27.73 28.69
6.14 6.43 6.72 7.02 7.31 7.60 7.89 8.19 8.48 8.77
20.06 21.01 21.97 22.92 23.88 24.83 25.79 26.74 27.70 28.65
6.23 6.52 ~82 .12 7.41 7.71 8.01 8.30 8.60 8.90
20.03 20.98 21.94 22.89 23.84 24.80 25.75 26.70 27.66 28.61
6.31 6.62 6.92 7.22 7.52 7.82 8.12 8.42 8.72 9.02
20.00 20.95 21.91 22.86 23.81 24.76 25.71 26.67 27.62 28.57
6.40 6.71 7.01 7.32 7.62 7.93 8.23 8.54 8.84 9.15
21 22 23 24 25 26 27 28 29
30
31 32 33 34 35 36 37 38 39 40
29.65 30.60 31.56 32.51 33.47 34.43 35.38 36.34 37.30 38.25
9.06 9.36 9.65 9.94 10.23 10.53 10.82 11.11 11. 40 11.69
29.61 30.56 31.52 32.47 3.1.4:l 34.38 35.34 36.29 37.20; 38.20
9.19 9.49 9.79 10.08 10. 3.~ 10.08 10.97 11.27 11.57 11.86
29.57 30.52 31.47 32.43 33.38 34.33 35.29 36.24 37.19 38.15
9.32 9.62 9.92 10.22 10.52 10.83 11.13 11.43 11.73 12.03
29.52 30.48 31.43 32.38 33.33 34.29 35.24 36.19 37.14 38.10
9.45 9.76 10.06 10.37 10.67 10.98 11.28 11.58 11.89 12.19
31 32 33 34 35 36 37 38 39 40
41 42 43 0 44 45 46 47 48 49 50
39.21
11.99 12.28 12.57 12.86 13.16 13.45 13.74 14.03 14.33 14.62 --
39.16
39.10 40.06 41.01 41. 96 42.92 43.87 44.82 45.78 46.73 47.69
12.33 12. 63 12.93 13.23 13.53 13.8.1 14.13 14.43
39.05 40.00 40.95 41.91 42.86 43.81 44.76 45.71 46.67 47.62
12.50 12.80 13.11 13.41 13.72 14.02 14.33 14.6.1 14.94 15.24
28
40.16
41.12 42.08 43.03 43.99 44.95 45.90 46.86 47.82
--- ---
!!
~ .!!l
A
12.16 12.45 12. 75 13.05 13.34 13.64 13.94 14.23 14.53 14.83 - - --40.11
41.07 42.02 42.98 43093 44.89 45.84 46.80 47.75
Lat.
Dep. 73 0•
Dep.
Ii
15.04
43 44 45
46
47 48 49 50
--- --- --- --- -Dep.
Lat.
7234°·
14.73
41
42
I t
42
Lat.
72~0.
Dep.
Lat.
72~0.
1 .!I A
TABLE •. -TRAVERSE TAIIIL t:I
i
Lat. ~ -51 52 53 54 55 56 57 58 59 60
II
17°.
/i'
Dep. 14.91 15.20 15.00 15.79 16.08 16.37 16.67 16.96 17.25 17. 54
66 67 68 69 70
58.33 59.29 60.25 61. 20 62.16 63.12 64.07 65.03 65.99 66.94
17.83 18.13 18.42 18.i1 19.00 19.30 19.59 19.88 20.17 20.47
71 72 73 74 75 76 77 78 79 SO
67.90 68.85 69.81 70.77 71. 72 72.68 73.64 74.59 75.55 76.00
81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 08 99 100
65
tl j .l!l ~
i
I
Lat.
--- - - -I 48.77 49.73 00.68 51. 64 52.60 53.55 54.51 55.47 56.42 57.38
61 62 63 64
17~0.
17~0.
17W·
I!
i.
48.71 49.66 00.62 51. 57 52.53 i 53.48 ! 54.44 ; 55.39 ' 56.35 1 57.30
I
Dep.
Lat.
Dep.
Lat.
Dep.
t:I
r;;
i
~
--- -15.12 15.42 15.72 16.01 16.31 16.61 16.90 17.20 17.50 17.79
48.64 49.59 00.55 51.00 52.45 53.41 54.36 55.32 56.27 57.22
15.31 15.64 15.94 16.24 16.54 16.84 17.14 17.44 17.74 18.04
48.57 49.52 00.48 51.43 52.38 53.33 54.29 55.24 56.19 57.14
15.55 15.85 16.16 16.46 16.77 17.07 17.38 17.68 17.99 18.29
51 52 53 54 55 56 57 58 59 60
58.18 59.13
61.04 61.99 62.95 63.90 64.85 65.81 00.76
18.34 18.64 18.94 19.25 19.55 19.85 20.15 20.4.5 20.75 21.05
58.10 59.05 60.00 00.95 61.91 62.86 63.81 64.76
61 62 63 64 65 66 67 68 69 70
58.26 59.21 60.17 61.12 62.08 6.1.03 63.99 64.94 65.90 60.85
18.09 18.39 ' 18. 68 1 18.98 19.28 19.57 19.87 20. If. 20.46 20.76
00.67
18.60 18.90 19.21 19.51 19.82 20.12 20.43 20.73 21.04 21.34
20.76 21. 05 21.34 21.64 21.93 22.22 22.51 22. SO 23.10 23.39
67.81 68.76 69.72 70.67 71.63 72.58 73.54 74.49 75.45 76.40
21.05 21.35 21.65 21. 94 22.24 22.54 22.83 23.13 23.43 23.72
67.71 68.67 69.62 70.58 71. 53 72.48 73.44 74.39 75.34 76.30
21.35 21.65 21.95 22.25 22.55 22.85 23.15 23.46 23.7t\ 24.00
67.62 68.57 69.52 70.48 71. 43 72.38 73.33 74.29 75.24 76.19
21. 65 21. 95 22.26 22.56 22.86 23.17 23.47 :23.78 24.08 24.39
71 72 73 74 75 76 77 78 79 SO
• 77.46 78.42 79.37 SO. 33 81.29 82.24 8.1.20 84.15 85.11 86.07
23.68 23.97 24.27 24.56 24.85 25.14 2S.44 25.73 26.02 26.31
77.36 78.31 79.27 SO. 22 81.18 82.13 83.09 84.04 85.00 85.95
24.02 24.32 24.61 24.91 25.21 25.50 25. SO 26.10 26.39 20.69
77.25 78.20 79.16 SO. 11 81. 07 82.02 82.97 83.93 84.88 85.83
24.36 24.66 24.96 25.26 25.56 26.86 26.16 26.46 26.76 27.06
77.14 78.10 79.05 SO. 00 SO. 95 81. 91 82.86 83.81 84.76 85.72
24.69 25.00 25.30 25.61 26.91 26.22 2O.S2 26.83 27.13 27.44
81 82 83 84 85 86 87 88 89 90
87.02 87.98 88.94 89.89 90. 8.~ 91.81 92.76 93.72 94.67 95.63
26.61 26.90 27.19 27.48 27.78
86.91 87.86 88.82 89.77 90.73 91.68 92.64 93.59 94 ..55 95.50
26.99 86.79 27.28 87.74 27.58 88.70 27.87 89.65 28.17 I 90.60 28.47 I 91. .56 28.76 ! 92.51 29.00 I 93.46 29.36 94.42 95.37 29.65
27.36 27.00 27.97 28.27 28.57 28.87 29.17 29.47 29.77 30.07
86.67 87.62 88.57 89.53 90.48 91. 43 !l2.38 93.33 94.29 95.24
27.74 28.05 28.35 28.66 28.96 29.27 29.57 29.88 30.18 30.49
91 92 93 94 95 96 97 98 99 100
Dep.
Lat.
Dep.
Lat.
.
Dep.
, i I . ,
28.m
28.3ti 28. t15 28.94 29.24
Lat.
I 1
i
60.08
I
Dep.
Lat.
1
65.72
-----
73'.
72~·.
7234 '.
43
72~·.
tl
I
~
TABLE 4.-TRA.VKRSE TABLE. r---,-------o--------------------,------,-----; 18'. 18W. 18~'. ! 18'",'. t:J
f
I,'
---,---11-----;;---Let.
Let.
Dep.
i
I
i Let.
Dep.
Let.
Dep.
Dep.
Ii
--I-I~~ ~~1-0.95 ~ --;;~--13
2
1.90 ~~ 3.80
6 7
&71
1.~
&m
7.61 Lffi 9.61
2.47
4 6
8 9 10
11 12 13 14 15 16 17 18 19 2l)
~m
&00
0.62 ~W 1.24 I.M
1.90 ~~ 3.80 ~m
~w
3.09
10.46 11.41 12.36 13.31 14.27
3.40
10.45
16.~
1~i
~m
3.17
3. 49
12.35 13.30 14.25 16.20 16.14 5.ffii 17.09 18.04 g:~~ 1 18.99
6.58 6.89 7.20 7.52 7.83 8.14 8. 46 8.77 9.08 9.39
11.40
3.71 4.02 4.33 4.&1
29.44 30.39 31.34 32.29 33.24 34.19 35.14 36.09 37.04 37.99
9.71 10.02 10.33 10.65 10.96 11.27 11.00 11.90 12.21
41
38. 99 39.94 40. 90 41. ~ 42.80 43.75 44. ,0 45. L5 46.60 47. M
12. 67 12.98 13. 29 13.60 13.91 14.21 14.52 14.83 15.14 15. 45
38. 94 39.89 40.84 41. 79 42.74 43.69 44. &I 45.59 46.54 47.48
42 43 44 45 46 47 48 49 50
19.94 20.89 21.84 ~.79
23.N 24.00 25.M
26.00 27.54 28.49
I
14.~
21.81 ~76
23.71 24. f>6 25.60 26.M 27.50 28.45
Let. 72'.
--------
Dep.
I
2.67
I 1
4 5 6
7
8 9 3.2110 ~89
10.42 11.36 12.31 13.26 14.20 15.15 16.10 17.04 17.99 18.94
3.54 3.86 4.18 4.50 4.82 5.14 6.46 6.79 6.11 6.43
11 12 13 14 15 16 17 18 19 20
19.89 20.83 21. 78
6.75 7.07 7.39 7.71 8.04 8.36 8.ffi 9.00 9.32 9.64
21
29 30
~.73
i
2
3
23.67 24.62 25.57 26.51 27.46 28.41
~
23 24 25
26 27
28
12.~
30.35 31.29 32.24 33.19 34.14 35. 09 36.04 36.98 37.W
9.84 10.15 10.47 10.79 11.11 11.42 11.74 12.06 12.37 12.69
29.35 9.9G 30.30 10.29 10.61 31.25 32.20 ! 10.93 11.25 14 33. 1 11.57 34.09 35.04 11.89 35.98 t 12.21 12.54 36.93 37.88 12. 86
31 32 33 34 35 36 37 38 39 40
12. 84 13.15 13. 47 13.78 14.09 14.41 14.72 1& 03 15. 35 15.00
38. R8 39.83 40. 78 41. 73 42.67 43.62 44.57 4& 52 40.47 47.42
13. 01 13.33 13. 64 13.96 14.28 14.60 14.91 15.23 15. M 15. 87
38. 82 39.77 40. 72 41. (j(j 42. Gl 43. ffi 44.51 45.45 46.40 47.35
41 42 43 44 45 46 47 48 49 50
- - - - - - - - 1- - - - - Dep.
6.66 6.98 7.30 7.62 7.9.3 8.25 8.57 8.88 9.20 9.52
19.91
20.~
~25
&63
3.81 4.12 4.44 4.76 &08 &39 &71 6.03 6.36
15.17 16.12 17.07 18.02 18.97
29.40
~~
~~
9.48
9.58 9.89 10.20 10.51 10.82 11.12 11.43 11. 74 12.05 12.36
27.58
7.58 L62 9.47
0.64 ~OO 1.29 I.ll I.W
&ffi
~~
10.43 11.38 12.33 13.28
29.48 30.43 31.38 32.34 33.29 34.24 35.19 36.14 37.09 38.04
26:63
2.54
3.44 3.76 4.07 4.38 4.70 5. 01 5.32 5.M 5. 95 6.26
31 32 33 34 35 36 37 38 39 40
26
7.00
L~
3.13
28.~
24 25
19.97 20.92 21.87 22.83 23.78 24.73 25.ffi
1.89 ~64 3.79
&00
0.63 ~~ 1.27 1.00 1.90
&M
~~
27 28 29 30
~
23
1.90 ~64 3.79 ~N
2.51
e. 49 6.80 7.11 7.42 7.73 8.03 8.34 8.M 8.00 9.27
21
I
1.~ I.~ ~w
&M 7.60 LM 9.50
16.17 17.12 18.07 19.02
0.63 ~~ 1.25
Let.
7l~O.
13. 18 13.50 13. 82 14. 14 14.4ti 14.79 15. 11 15. 43 16. i5 16.07
---1- ----
~11_D-e-p-.-,-_Le_t_._\
I
7lW.
I
7lW.
----...!.:....-----.::!..----~--!
TA.BLE 4.-TRAVI!RSE TABLE. t:I
I
18°.
&r
187.(°.
18).jj°.
18~0.
;-
.. t1
!O c
c ~
Lat.
51 52 53 54 65 56 57 58 59 60
48.50 49.45 50.41 51.36 52.31 53.26 54.21 65.16 56.11 57.00
16.76 16.07 16.38 16.00 17.00 17.30 17. 61 17.92 18.23 18.54
48.43 49.38 50.3.1 51.28 52.23 53.18 54.13 55.08 50.03 56.98
15.97 16. 28 16.60 16.91 17.22 17.54 17.85 18.16 18.48 18. 79
48.36 49.31 50.26 51.21 62.16 53.11 54.05 65.00 65.95 56.00
16.18 16. 50 16.82 17.13 17.45 17.77 18.09 18. 40 18.72 19.04
48.29 49.24 50.19 51.13 62.08 53.03 53.98 54.92 55. 87 50.82
16.39 16.71 17.04 17.36 17.68 18.00 18.32 18.64 18.00 19.29
51 52 53 54 65 56 57 58 69 60
61 62
68.01 68.97 59. 9'~ 60.87 61.82 62.77 63.72 64.67 65.62 66.57
18. 85 19.16 19.47 19.78 20.09 20.40 20.70 21.01 21.32 21.63
57.93 58.88 69.83 60.78 61.73 62.68 63.6.3 64.68 65.5.3 66.48
19.10 57.85 19.42 58.80 19.73 I 59.74 20.04 I 60.69 20.36 i 61.64 20.67 I 62.59 20.98 63.54 64.49 21.30 21.61 65.43 21.92 66.38
-19.36 19.67 19.99 20.31 20.62 20.94 21.26 21.68 21. 89 22.21
57.76 68.71 59.66 60.60 61. 65 62.50 63.44 64.39 65.34 66.29
19.61 19.93 20.25 20.57 20.89 21.22 21.54 21.86 22.18 22.50
01 62 64 65 66 67 68 00 70
67.53 68.48 69.4.3 70.38 71.33 72.28 73.23 74.18 75.13 76.08
21.94 22.25 22.50 22.87 23.18 23.49 23.79 24.10 24.41 24.72
67.43 68.38 69.3.3 70.28 71.23 72.18 73.13 74.08 75.03 75.98
22.23 22.65 22.86 23.17 23.49 23.80 24.11 24.43 24.74 25.05
67.33 68.28 00.23 70.18 71.12 72.07 73.02 73.97 74. 92 75.87
22.5.3 22.85 23.16 23.48 23.80 24.12 24.43 24.75 25.07 25.38
67.23 68.18 00.13 70.07 71.02 71. 97 72.91 73.86 74. 81 75. 75
22.82 23.14 23.47 23.79 24.11 24.43 24.75 25.07 25.39 25.72
71 72 73 74 75 76 77 78 79 80
77.04 77.99 78.94 79.89 80.84 81. 79 82.74 83.69 84.f>4 85.60
25. 03 25.34 25.65 25.00 26.27 26.68· 26.88 27.19 27.50 27.81
76.93 77.88 78.83 79.77 80.72 81.67 82.62 8-3.57 84.52 85.47
25.37 25.68 25. 99 26.31 26.62 26.93 27.25 27.156 27.87 28.18
76.81 77.76 78.71 79.66 80.61 81.156 82.50 83.45 84.40 85.35
25.70 26.02 26.34 26.65 26. 97 27.29 27.61 27.92 28.24 28.156
76.70 77.65 78.60 79.54 80.49 81. 44 82.38 83.33 84.28
85.22
26.04 26.36 26.68 27.00 27.32 27.64 27.97 28.29 28.61 28.93
81 82 83 84 85 86 87 88 89 00
86.65 87.50 88.4.> 89.40 00.35 91.30 92.25 93.20 94.15 95.11
28.12 28.43 28.74 29.05 29.36 29.67 29.97 30.2R 30.69 30.00
86.42 87.37 88.32 89.27 00.22 91.17 92.12 93.07 94.02 94.97
28.50 28.81 29.12 29.44 29.75 30.00 30.38 30.69 31.00 31.32
86.30 87.25 88.19 89.14 00.09 91.04 91.99 92.94 93.88 94.83
28.87 29.19 29.51 29.83 30.14 30.46 30.78 31.10 31.41 31.73
86.17 87.12 88.00 89.01 89.00 00.91 91.85 92.80 93.75 94.69
29.25 29.57 29.89 30.22 30.54 30.86 31.18 31.50 31.82 32.14
91 92 93 94
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
- - - - - - - - - - - - - - - - - - - - - - ---
m
64 65 66 67 68
69 70 71 72 73 74 75 76 77 78 79
80 81
82 83 84 85 86 87 88 89 00 91 92 93 94
95 00 97 98
99 100
- - - - - --~
i .!I
Q
Dep.
Lat. 72°.
fi
--
ro
Q5
96 97
08 99 100
--- - - - - - - - - - - - - - - - Dep.
Lat.
71~0.
Dep.
Lat.
71~0.
De".
Lat.
717.(0.
a
~
TABLE 4.-TB!VERSE TABLE. t:i
J
I _.
19°.
;;
Lat.
Dep.
I
19~0.
Lat.
I
Dep.
Lat.
t:i
193,4°.
i ---- 19W·
1
Dep.
Lat.
Dep.
g ~
- - --- - - - - - - - - -! - - - - - - - - - - - ' - 1 2 3 4 5 6 7 8 9 10
0.95 1.89 2.84 3.78 4.73 5.67 0.62 7.56 8.51 9.46
0.33 0.65 0.98 1. 30 1.63 1. 95 2.28 2.60 2.93 3.26
0.94 1.89 2.83 3.78 4.72 5.66 6.61 7.55 8.50 9.44
11 12 13 14 15 16 17 18 19 20
10.40 11.35 12.29 13.U 14.18 15.13 16.07 17.02 17.00 18.91
3.58 3.91 4.23 4.56 4.88 5.21 5.53 5.8ti 6.19 6.51
21 22 23 24 25 26 27 28 29 30
19.86 20.80 21. 75 22.69 23.64 U58 25.53 26.47 27.42 28. 37
31
41 42 43 44 45 46 47
32 33 34 35 36 37 38 39 40
48
49 50
0.94 1.89 2.83 3.77 4.71 5.66 6.60 7.M 8.48 9.43
0.33 0.67 1.00 1. 34 1. 67 2.00 2.34 2.67 3.00 3.34
0.94 1.88 2.82 3.76 4.71 5.65 6.59 7.53 8. 47 9.41
0.34 0.68 1.01 1.35 1.69 2.03 2.37 2.70 3.0-1 3.38
1 2 3 4 5 6 7 8 9 10
10.38 11. 33 12.27 13.22 14.10 15.11 Iti. OS 16.99 17.94 18. 88
3.63 10.37 3.96 11.31 4.29 [ 12.25 4.62 13.20 4.95 14.14 5.28 15.~ 5.60 16.02 5.93 16.97 6.26 17.91 6.59 18. 85
3.67 4.01 4.34 4.67 5.01 5.34 5.67 6.01 6.34 6.68
10.35 11. 29 1224 13.18 14.12 15.06 16.00 If. 94 17.88 18. 82
3.72 4.06 4.39 4.73 5.07 5.41 5.74 0.08 6.42 6.76
11 12 13 14 15 16 17 18 19 20
6.84 7.16 7.19 7.81 8.H R 46 8.79 9.12 9.44 9.77
19.83 20.77 21. 71 22.66 23.60 21.SS 25.49 2H.43 27.38 28.32
6.92 7.25 7.58 7.91 8.24 R. 57 8.90 9.23 9.56 9.89
19.80 20.74 21.68 22.62 23.57 2-1. 51 25.45 26.39 27.34 28.28
7.01 7.34 7.68 8. 01 8.35 8.68 9.01 9.35 9.68 10.01
19.76 20.71 21.65 22.59 2.1.53 24.47 25.41 2.>.35 27.29 28.24
7.10 7.43 7.77 8.11 8.45 8.79 9.12 9.46 9.80 10.14
21 22 23 24 25 26 27 28 29 30
29.31 30.26 31. 20 32.15 33.09 34.0-1 34.98 35.93 36.88 37.82
10.09 10.42 10.74 11.07 11.39 11.72 12.05 12.37 12.70 13.O'l
29.27 3U.21 31.15 32.10 33.0-1 33.99 34.93 3.,.88 36.82 37.76
10.221 10.55 10.88 11. 21 1 11. 54 11.87 12.20 12.53 12.86 13.19
29.22 30.16 31.11 32.05 32.99 33.94 34.88 35.82 36.76 37.71
10.35 10.68 11.02 11.35 11. 68 12.02 12.35 12.68 13.02 13.35
29.18 30.12 31.06 32.00 32.94 33.88 3·1.82 35.76 36.71 37.65
10.48 10.81 11.15 11.49 11.83 12.17 1250 1284 13.18 13.52 I
31 32 33 34 35 36 37 38 39 40
38.77 39.71 40.66 41.60 4255 43.49 44.44 45.38 46.33 47.28
13.35 13.67 14.00 14.33 14.(;'; 14.98 15.30 15.63 15.95 16.28
3.3.71 39.65 40. GO 41.M 42.48 43.43 44.37 45.32 46.26 47.20
13.52 13.85 14.18 14.51 14.84 15.17 15.50 15.83 16.15 16.48
38.65 39.59 40.63 41. 48 42.42 43.36 44.30 45.25 46.19 47.13
13.69 14.02 14.35 11.09 15.02 15.36 15.69 10.02 16.36 16.69
38.59 39.53 40.47 41. 41 42.35 43.29 41.24 45.18 46.12 47.06
13.85 14.19 14.63 14.87 15.21
41 42 43 44
Dep.
Lat.
0.331 0.66 0.99 1. 32 I 1.65 1.98 2.31 2.64 2.97 3.30
._- - - - - - - - - - - - - - - - - -
J
.!I
A
Dep. 71°.
Lat.
Dep.
Lat.
Dep.
Lat.
70~0.
700,4°.
46
4S
15.M 46 15.88 47 16.22 48 49 16. 56 16. 90 50 --- --- --
70~0.
J
.!I
A
TABLE 4.-TKAVEKSE TABLE. t:I
f
19°.
19)4°.
Dep.
Lat.
- - ---
Lat.
19W.
Lat.
'Dep.
I
1~0.
Lat.
Dep.
Dep.
t:I
rn ~ ~
--- - - - - - - - - - - - - - - - - - - - -
51 52 53 04 66 56 57 58 59 60
48.22 49.17 1iO.1l 61.06 52.00 52.95 53.89 04.84 66.79 56.73
16.60 16.93 17.26 17.58 17.91 18.23 18.56 18.88 19.21 19.53
48.15 49.09 1iO.04 1iO.98 61.92 52.87 5.3.81 54.76 55.70 56.65
16.81 17.14 17.47 17.80 18.13 18.46 18.79 19.12 19.45 19.78
48.CJ1
49. iJ2 49.96 1iO.90 51.85 52.79 53.73 54.67 55.62 56.56
17.02 17.36 17.69 18.03 18.36 18.69 19.03 19.36 19.69 20.03
48.00 48.94 49.88 1iO.82 61. 76 52.71 53.65 04.59 66.53 56. 47
17.23 17.57 17.91 18.25 18.59 18.92 19.26 19.60 19.94 20.28
51 52 53 04 66 56 57 58 59 60
61 62 63 04 65 66 67 68 69 70
57.68 58.62 59.57 60.51 61. 46 62.40 63.35 64.30 65.24 66.19
19.86 20.19 20.51 20.84 21.16 21.49 21.81 22.14 22.46 22. 79
57.59 58.53 69.48 60.42 61.37 62.31 63.25 64.20 M.14 66.09
20.11 20.44 20.77 21.10 21. 43 21.76 22.09 22.42 22.75 23.08
57.1iO 58.44 59.39 60.33 61.27 62.21 63.16 64.10 65.04 65.98
20.36 20.70 21.03 21.36 21. 70 22.03 22.37 22.70 23.03 23.37
57.41 58.35 59.29 60.24 61.18 62.12 63.06 64.00 64.94 65.88
20.61 20.95 21.29 21.63 21.96 22.30 22.64 22.98 23.32 23.65
61 62 63 04 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
67.13 68.08 69.02 69.97 70.91 71.86 72.80 73.75 74.70 75.64
23.12 23.44 23.77 24.09 24.42 24.74
23.41 23.74 24.07 24.40 24.73 25.06 25.39 25.72 26.05 26.38
66.93 67.87 68.81 69.76 70.70
25.39 25.72 26.05
67.03 01.97 68.92 69.86 70.8.1 71. 75 72.69 73.64 74.58 75.53
23.70 24.03 24.37 24.70 25.04 25.37 25.70 26.04 26.37 26.70
66.82 67.76 68.71 69.65 70.59 71.5.3 72.47 73.41 74.35 75.29
23.99 -24.33 2·1.67 25.01 25.34 25.68 26.02 26.36 26.70 27.03
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
76.59 77.53 78.48 79.42 SO. 37 81.31 82.26 83.21 84.15 85.10
26.37 26.70 27.02 27.35 27.67 28.00 28.32 28.65 28.98 29.30
76.47 77.42 78.36 79.30 SO. 25 81.19 82.14 83.08 84.02 84.97
26.70 27.03 27.36 27.69 28.02 28.35 28.68 29.01 29.34 29.67
76.2~
82.01 82.95 83.90 84.84
81.CJ1
27.04 27.37 27.71 28.04 28.37 23.71 29.04 29.38 29.71 30.04
77.18 78.12 79.06 80.00 80.94 81.88 82.82 83.76 84.71
27.37 27.71 28.05 28.39 28.72 29.06 29.40 29.74 30.CJ1 30.41
81 82 83 84 85 86 ffl 88 89 90
91 92 93 94 95
86.04 86.99 87.93 88.88 89.82 90.77 91. 72 92.66 93.61 94.66
29.63 29.95 30.28 30.60 30.93 31.25 31.58 31.91 32.23 3%.56
85.91 86.86 87.80 88.74 89.69 90.63 91.58 9"2. 52 93.46 94.41
30.00 30.33 30.66 30.99 31.32 31.65 31.98 32.31 32.64 82.97
85.78 86.72 ffl.67 88.61 89.66 90.49 91. 44 92.38 93.32 94.26
30.38 30.71 31.04 31.38 31. 71 32.05 32.38 32.71 33.05 33.38
85. 65 86. 59 87.53 88.47 89.41 90.35 91.29 92.24 93.18 94.12
30.75 31.09 31.43 31. 76 32.10 32.44 82.78 33.12 33.45 33.79
91 92 93 94 95 96 97 98 99 100
96
97 98 99 100
25.CJ1
- ---- ---
2i
~
A
Dep.
Lat. 71°.
71.64
72.58 73.53 74.47 75.41 76.35 77.30 78.24 79.18 80.12
I
--- - - - I - - - - --- - - - - Dep.
Dep.
Lat.
~o.
Lat.
7O~0.
47
Dep.
Lat.
70)4°.
~
j
TABLE 4.-TRAVEBSE TABLE.
.,
J --
Lat.
--
,
20 0•
t:;
20~·.
Dep.
- - - ---
Lat.
20~·.
II
Lat.'
Dep.
------
Dep.
0.94 1.88 2.82 3.76 4.70 5.64 6.58 7.52 8. 46 9.40
0.34 0.(;8 1.03 1.37 1.71 2.05 2.39 2.74 3.08 3.42
0.94 1.88 2.81 3.75 4.69 5.63 6.57 7.51 8.« 9.38
0.35 ·0.69 1.04 1.38 1.73 2.08 2.42 2.77 3.12 3.40
0.94 1.87 2.81 3.75 4.68 5.02 6.50 7.49 8.43 9.37
0.35 0.70 1.05 1.40 1.75 2.10 2.45 2. !IO 3.15 3.50
11 12 13 14 15 16 17 18 19 20
10.34 11.28 12.22 13.16 14.10 15.04 15.97 10.91 17.85 18. 79
3.70 4.10 4.45 4.79 5.13 5.47 5.81 6.lG 6.50 6.84
10.32 11.26 12.20 13.13 14.07 15.01 15.95 16.89 17.83 18. 76
3.81 4.15 4.50 4.85 5.19 5.54 5.88 0.23 6.58 6.92
10.30 11.24 12.18 13.11 14.05 14.99 15.92 lG.!16 17. SO 18.73
21
25 26 'r1 28 29 30
19.73 20.&7 21.61 22.55 23.49 24.43 25.37 26.31 Z1.25 28.19
7.18 7.52 7.87 8.21 8.55 8.89 9.23 9.58 9.92 10.26
19.70 20.64 21.58 22.52 23.45 24.39 25.33 26.Z1 Z1.21 28.15
7.Z1 7.01 7.96 R31 8.65 9.00 9.35 9.(9 10.04 10.38
31 32 33 34 35 36 37 38 39 40
29.13 30.07 31.01 31.95 32.89 33.83 34.77 35.71 36.65 37.59
10.60 10.94 11.29 11.63 11.97 12.31 12.65 13.00 13.34 13.68
29.08 30.02 30.96 31.90 32.84 33.77 34.71 35.05 36.59 37.53
41 42 43 H
38.53 39.47 40.41 41.35 42.29 43.23 «.17 45.11 46.04 46. 98
14.02 14.36 14.71 15.05 15.39 15.73 16. 07 16.42 16. 76 17.10
38.47 39.40 40.34 41.28 42.22 43.16 «.09 45.03 45.97 46.91
22
:u
45
40 47 48 49 50
Dep.
i
~
4.C8 5.fil 6.55 7.48 8.42 9.35
1 2 3 4 5 6 7 8 9 10
3.85 4.20 4.55 4.90 5.25 5.60 5.95 0.30 6.65 7.00
10.29 11.22 12.16 13.09 14.03 14.96 15.90 16.8.1 17.77 18.70
3.90 4.25 4.01 4.96 5.31 5.07 0.02 6.38 6.73 7.09
11 12 13 14 15 16 17 18 19 20
19.07 20.61 21.54 22.48 23.42 21 . .105 25.29 26.23 Z1.10 28.10
735 7.70 8.05 8.40 8.76 9.11 9.46 9.81 10.16 10.51
19.64 20.57 21.51 22.44 23.38 24.31 25.25 26.18 Z1.12 28.05
7.« 7.79 8.15 8.50 8.86 9.21 9.57 9.92 10.Z1 10.63
21 22 23 24 25
10.73 11.08 11.42 11.77 12.11 12.46 12.81 1.1.15 13.50 13. 84
29.04 29.97 30.91 31.1!5 32.78 33.72 34.00 35.59 36.53 37.47
10.86 11.21 11.56 11.91 12.26 12.01 12.96 13.31 13.66 14.01
28.99 29.92 30.86 31.79 32.73
10.98 11.34 11."0 12.05 12.40 12.75 13.11 13.46 13.82 14.17
.11 32 33 34 35 36 37 38 39
14.19 14.54 14.88 15.23 15.58 15.92 16. Z1 16.61 10.96 17.31
38.40 39.34 40.28 41. 21 42.15 43.09 44.02 44.96 45.90 46.8.3
14.36 14.71 15.06 15.41 15.76 16. II 16.46 lG.81 17.16 17.51
14.53 14.88 15.23 15.59 15.94 10.30 16. fJ6 I7. 01 17.36 17.71
41 42 43 « 45 4G 47
~
Lat.
70°.
Lat.
0.35 0.71 1.06 1.42 1.77 2.13 2.48 2.83 3.19 3.54
--- ------- --Lat. Dep. Dep.
J
t:I
--- --- --- ---- -
I 2 3 4 5 0 7 8 9 10
23
.,
2O-~0.
Dep.
--Lilt.
6~·.
69',40.
48
0.94 1.87
N!
33.~6
34.60 35.54 36.47 37.H 38.34 39.28 40.21 41. 15 42.08 43.02 43.95
44.89
45.82 41f. 76
20
Z1 28 29 30
40
48 49 50
------ - Dep.
Lat.
()9~ ••
J
is
TABLE ".-TRA.VERSE TABLE.
~
Ii"
l
Lat.
2O~ ••
~'.
20·.
Dep.
------
Lat.
i
I I
I Lat.
Dep.
Dep.
------ !
~'.
~IDep.
l:'
Ii"
J
51 52 63 M 55 56 57 58 59 00
47.92 48.86 49.80 60.74 51. f\8 52.62 63.56 M.60 55.44 00.38
17.79 18.13 18.47 18.81 19.15 19.50 19.64 20.18 20.52
17.~
47.85 48.79 49.72 60.66 61. 00 62.M 63.48 54.42 55.35 56.29
17.65i 18.00 18.34 18.69 19. 04 19.38 111.73 20.(J7 20.42 20.77
47.77 48.71 49.64 60.58 51.62 5%.45 63.39 M.33 55. 26 56.20
17.86 18.21 18. 56 18.91 19.26 19.61 19.96 20.31 20.66 21.01
47.69 48.63 49.56 60.50 61. 43 62.37 63.30 M.24 55.17 56.11
18.(J7 18.42 18. 78 19.13 19.49 19.64 20.19 20.55 20.90 21.26
51 52 63 M 55 56 57 58 59 00
61 62 63 64 65 66 67 68 69 70
57.32 58.26 59.20 00.14 61.08 62.02 62.96 63.90 64.64 65.78
20.86 21.21 21.55 21.89 22.23 22.57 22.92 23.26 23.00 23.94
57.23 58.17 59.11 00.04 61.92 62.86 63.80 64.74 65. 67
21.11 21.46 21.81 22.15 22.60 22.64 23.19 23.M 23.88 24.23
57.14 58.(J7 59.01 59.95 00.88 61.82 62.76 63.69 64.63 65.57
21.36 21. 71 22.06 22.41 22.76 23.11 23.46 23.81 24.16 24.51
67.04 57.98 58.91 59.85 00.78 61. 72 62.65 63.59 64.52 65.46
21.61 21. 97 22.32 22.67 23.03 23.38 23.74 24.09 24.45 24.80
81 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
66.72 67.66 68.00 69.M 70.48 71.42 72.36 73.30 74.24 75.18
24.28 24.63 24.97 25.31 25.65 25.99 26.34 26.68 27.02 27.36
66. 61 67.55 68.49 69.43 70.36 71.30 72.24 73.18 74.12 75.06
24.57 24.92 25.27 25. 61 25.96 26.30 26.65 27.00 27.34 27.69
66.50 67.44 68.38 69.31 70.25 71.19 72.12 . 74.00 74.93
24.86 25.21 25.57 25.92 26.27 26.62 26.97 27.32 27.67 28.02
66.39 67.33 68.26 69.20 70.14 71.(J7 72. 01 72.94 73.88 74.81
25.15 25.51 25.86 26.22 26.57 26.93 27.28 27.63 27.99 28.34
74 75 76 77 78 79 80
81 82 83 64 85 86 87 88 89 110
76.12 77.05 77.99 78. 93 79.87 80 81 81.75 82.69 83.63 64.57
27.70 28.05 28.39 28.73 29.07 29.41 29.76 30.10 30.44 30.78
75.99 76.93 77.87 78.81 79.75 80.68 81. 62 82.56 83.50 64.44
28.04 28.38 28.73 29.(J7 29.42 29.77 30.11 30.46 30.80 31.15
75.87 76.81 77.74 78.68 79.62 80.55 81. 49 82.43 83.36 64.30
28.37 28.72 29.07 29.42 29.77 30.12 30.47 30.82 31.17 31.52
75. 75
28.70 29.05 29.41 29.76 30.11 30.47 30.82 31. 18 31. 53 31.89
81 82 83 64 85 86 87 88 89 90
91 92 93
85.51 . 31.12
G4 t5 96
117
98 99 100
OO.~
73.00
86.45 87.39 88.33 89.27 110.21 91.15 92.09 93.03 93.117
31.47 31.81 32.15 32.49 32.83 33.18 33.52 33.86 84.20
85.38 86.31 87.25 88.19 89.13 00.(J7 91.00 91. 94 92.88 93.82
31.60 31.64 32.19 32.M 32.88 33.23 33.57 33.92 34.27 34.61
85.24 86.17 87.11 88.05 88.U8 89.92 90.86 91. 79 92.73 93.67
31.87 32.22 32.57 32.92 33.27 33.62 33.97 34.32 34.67 35.02
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
- - --- r---- - - - --- - - - -
j
.l!I
A
70·.
41479-10--4
~
~
49
78.55 79.49 80.42 81.36 82.29 83.23 64.16 85.10 86.03
I 86.97 87.90 88.64 89.77 110.71 91.64 92.58 93.51
32.24 32.59 32.95 33.30 33.66 34.01 34.37 34.72 35.(J7 35.43
III 92 93 94
to
t6 97 98 99 100
--- --- --
..
..
I 76.68 77.62
71 72
73
Dep.
Lat.
69~·.
J
~
A
I
TABLE 4.-TRAVEBSE TABLE. t;1
21°.
Iii"
~ !i
Lat.
21~·.
21W·
Dep.
- - ------
Lat.
Lat.
Dep.
t;1
21~0.
Dep.
Lat.
Dep.
f
--- --- - - - - - - - - - --- - -
I 2 3 4 5 6 7 8 9 10
0.93 1.87 2.8) 3.73 4. 67 5.60 6.64 7.47 8.40 9.34
0.36 0.72 1.08 1.43 1. 79 2.15 2.51 2.87 3.23 3.58
0.93 1.86 2.8) 3.73 4.66 5. 59 6.52 7.46 8.39 9.32
0.36 0.72 1.09 1.45 1.81 2.17 2.64 2.90 3.26 3. 62
0.93 1.86 2.79 3.72 4.65 5.68 6.51 7.44 8.37 9.30
0.37 0.73 1.10 1.47 1.83 2.20 2.57 2.93 3.30 3.67
0.93 1.86 2.79 3.72 4.64 5.57 6.50 7.43 8.36 9.29
0.37 0.74 1.11 1.48 1.85 2.22 2.59 2.96 3.34 3.71
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10. 27 11.20 12.14 13.07 14.00 14.94 15.87 16.80 17.74 18.67
3.94 4.30 4.66 5.02 5.38 5. 73 6.09 6.45 6.81 7.17
10.25 11.18 12.12 13.05 13.98 14.91 15.84 16.78 17.71 18. 64
3.99 4.35 4.71 5.07 5. 44 5.80 6.16 6.52 6.89 7.25
10.23 11.17 12.10 13.03 13.96 14.89 15.82 16.75 17.68 18.61
4.03 4.40 4. 76 5.13 • 5.50 5.86 6.23 6.60 6.96 7.33
10.Zl 11.15 12.07 13.00 13.93 14.86 15. 79 16.72 17.65 18. 58
4.08 4.45 4.82 5.19 5.66 5.93 6.30 6.67 7.04 7.41
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25
7.03 7.88 8.24 8.60 8.96 9.32 9.68 10.03 10.39 10.75
19.57 20.50 21.44 22.37 23.30 24.23 25.16 26.10 27.03 27.96
7.61 7.97 8.34 8.70 9.06 9.42 9.79 10.15 10. 51 10.87
19.64 20.47 21. 40 22.33 23.26 24.19 25.12 26.05 26.98 27.91
7.70 8.06 8.43 8.80 9.16
27 28 29 30
19.61 20.64 21. 47 22.41 23.34 24.27 25. 21 26.14 27.07 28.01
9.90 10.26 10.63 11.00
19.51 20.43 21.36 22.29 23.22 24.15 25.08 26.01 26.94 27.86
7.78 8.15 8.52 8.89 9.26 9.63 10.01 10.38 10.75 11.12
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 87 38 39 40
28.94 29.87 30.81 31. 74 32.68 33.61 34.64 35.48 36. 41 37.34
11.11 11.47 11.83 12.18 12.54 12.90 13.26 13.62 13.98 14.33
28.89 29.82 30.76 31. 69 32.62 33.50 34.48 35.42 36.35 37.28
11.24 11.60 11.96 12.32 12.69 13.05 13.41 13.77 14.14 14.50
28.84 29.77 30.70 31.63 32.66 33.50 34.43 35.36 36.29 37.22
11.36 11.73 12.09 12.46 12.83 13.19 13.56 13.93 14.29 14.66
28.79 29.72 30.65 31. 68 32.51 33.44 34.37 35.29 36.22 31.15
11.49 11.86 12.23 12.60 12.97 13.34 13.71 14.08 14.45 14. 82
31 32 33 34 35 36 87 38 39 40
41 42 43 44 45 46 47 48
38.28 39.21 40.14 41.08 42.01 42.94 43.88 44.81 45.75 46.68
14.69 15.05 15.41 15.77 16.13 16.48 16.84 17.20 17.66 17.92
38. 21 39.14 40.08 41.01 41. 94 42.87 43.80 44.74 45.67 46.60
14.86 15.22 15.68 15. 95 16.31 16.67 17.03 17.40 17.76 18.12
38.15 39.08 40.01 40.94 41.87 42.80 43.73 44.66 45. 59 46.52
15.03 15.39 15. 76 16.13 16.49 16.86 17.23 17.59 17.96 18.33
38.08 39.01 39.94 40.87 41.80 42.73 43.65 44.58 45.51 46. 44
15.19 15. 66 15.93 16.30 16. 68 17.05 17.42 17.79 18.16 18.53
41 42 43 44 45 46 47 48
26
49 50
- - --- - ~
I
A
Lat.
Dep. 69°.
9.03
49 50
- - - - - - - - - - - - - - - --- - Dep.
Lat.
68","°.
I
I 50
Dep.
Lat.
68~0.
Dep.
Lat.
68~0.
j A
TABLE f.-TRAVERSE TABLE.
I
t:; r;;
21°.
li
Lat. . Dep.
51 52 53 54 55
47.61 48.55 49.48 50.41 51.35 52.28 53.21 54.15 65.08 56.01
18.28 18.64 18.99 19.35 19.71 20.07 20.43 20.79 21.14 21.50
47.53 48.40 49.40 50.33 51.26 52.19 53.12 54.06 54.99 55.92
18.48 18.85 19.21 19.57 19.93 20.30 20.00 21.02 21.38 21.75
47.45 48.38 49.31 50.24 51.17 52.10 53.03 53.00 54.89 55.83
18.69 19.06 19.42 19.79 20.16 20.52 20.89 21.26 21.62 21. 99
47.37 48.30 49.23 50.15 51.08 52.01 52.94 53.87 54.80 55.73
18.90 19.27 19.64 20.01 20.38 20.75 21.12 21.49 21.86 22.23
51 52 53 54 65
56.95 57.88 58.82 59.75 60.68 61.62 62.65 63.48 64.42 65.35
21.86 22.22 22.68 22.94 23.29 23.65 24.0l 24.37 24.73 2.5.09
56.85 57.78 68.72 59.65 60.68 61.51 62.44 63.38 64.31 85.24
22.11 22.47 22.83 23.20 23.56 23.92 24.28 24.65 25.01 2.5.37
56.76 57.69 58.62 59.55 00.48 61. 41 62.3t 63.27 64.20 65.13
22.36 22.72 23.09 23.46 2.3.82 24.19 24.56 24.92 2.5.29 25.66
56.66 57.00 68.52 00.44 00.37 61.30 62.23 63.16 64.09 65.02
22.60 22.97 23.35 23.72 24.09 24.46 24.83 25. 20 2.5.57 2.5.94
51 63 64 65 66 67 68 69 70
00.28 67.22 68.15 69.08 70.02 70.95 71.89 72.82 73.75 74.69
25.44 25.80 26.16 26.52 26.88 27.24 27.59 27.95 28.31 28.67
66.17 67.10 68.04 68.97 69.90 70.83 71.76 72.70 73.63 74.56
25.73 26.10 26.46 26.82 27.18 27.55 27.91 28.27 28.63 29.00
66.06 66.99 67.92 68.85 69.78 70.71 71. 64 72.57 73.50 74.43
26.02 26.39 26.75 27.12 27.49 27.85 28.22 28.59 28.95 29.32
65.95 66.87 67.80 68.73 69.66 70.59 71.52 72. 45 73.38 74.30
26.31 26.68 27.05 27.42 27.79 28.16 28.53 28.90 29.27 29.64
71 72 73 74 75 76 77 78 79 80
75. 62 76.65 77.49 78.42 79.35 80.29 81.22 82.10 83.09 84.02
29.03 29.39 29.74 30.10 30.40 30.82 31.18 31.54 31. 89 32.2.5
75.49 76.42 77.36 78. 29 79.22 SO. 15 81.08 82.02 82.95 83.88
29.36 29.72 30.08 30.44 30.81 3t.17 31.53 31.89 32.26 32.62
75.36 76. 29 77.22 78.16 79.09 80.02 80.95 81. 88 82.81 83.74
29.69 30.05 30.42 30.79 31.15 31.52 31.89 32.2.5 32.62 32.99
75.23 76.16 77.09 78.02 78. 95 79.88 80.81 81. 74 82.66 83.59
30.02 30.39 30.76 31.13 31.50 31.87 32.24 32.61 32.98 33.35
81 82 83 84 85 86 87 88 89 00
84.96 85.89 86.82 87.76 88. 69 89.62 00.66 91.49 92.42 93.36
32.61 32.97 33.33 33.69 34.04 34.40 34.76 35.12 35.48 35.84
84. 81 85. 74 86.68 87.61 88.54 89.47 00.40 91.34 92.27 93. 20
32.98 33.34 33.71 34.07 34.43 34.79 35.16 35. 52 35.88 36.24
84.67 85.00 86.53 87.46 88.39 89.32 00.25 91.18 92.11 93.04
33.35 33.72 34.08 34.45 34.82 35.18 35.65 35.92 36.28 36.65
84.52 85.45 86.38 87.31 88.24 89.17 00.09 91.02 91. 95 92.88
3.3.72 34.09 34.40 34.83 35.20 35.57 35. 94 36.31 36. 69 37.06
~
21~0.
- - --- - - -
56 57 68 59
60 61 62
63 64 65 66 67
68 69 70 71 72 73 74 75 76
n
78 79
80 81 82 83 84 85 86 87 88
89 00
91 92 93 94
95 96 97 98 99 100
Lat.
217S0.
Dep.
Lat.
Dep.
21W·
Lat.
Dep.
t:; r;;
g
lil
--- - - - - - - - - - - - - - - - - -
I
56 57 68 59 60
62
91 92
93 94
95 96 97 98 99 100
- - ------ - - - - - - --- - - - - - - - - - - !!
S" .:a A
Dep.
Lat. 69°,
Dep.
L8t.
~o.
i Dep. I 51
Lat.
687S0.
Dep.
Lat.
~',
8
j
A
TABLE 4.-TIU. VERSE 'I'ABLE. c;)
22°.
t;"
~
1i
Lat.
I
Lat.
Dep.
Lat.
Dep.
Dep.
-
. t:1
S:I
1i
0.37 0.75 1.12 1.50 1.87 2.25 2.62 3.00 3.37 3.75
0.93 1.85 2.78 3.70 4.63 5.55 6.48 7.40 8.33 9.26
0.38 0.76 1.14 1.51 1.89 2.27 2.65 3.03 3.41 3. 79
0.92 1.85 2.77 3.70 4.62 5.54 6.47 7.39 8.31 9.24
0.38 0.77 1.15 1.53 1. 91 2.30 2.68 3.06 3.44 3.83
0.92 1.84 2.77 3.69 4.61 5.53 U.4t1 7.38 8.30 9.22
0.39 0.77 1.16 1.55 1.93 2.32 2.71 3.09 3.48 3.87
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10.20 11.13 12.05 12.98 13.91 14.83 15.76 16.69 17.62 18.54
4.12 4.50 4.87 5.24 5.62 5.99 6.37 6.74 7.12 7.49
10.18 11.11 12.03 12.96 13.88 14.81 15.73 16.86 17.59 18.51
4.17 4.54 4.92 5.30 5.68 6.06 6.44 6.82 7.19 7.67
10.16 11.09 12.01 12.93 13.86 14.78 15.71 16.63 17.55 18. 48
4.21 4.59 4.97 5.36 5.74 6.12 6.51 6.89 7.27 7.65
10.14 11. 07 11.99 12.91 13.83 14.76 15.68 16.60 17.52 18. 44
4.25 4.64 5.03 5.41 5.80 6.19 6.57 6.96 7.35 7.73
11 12 13 14 15 Hi 17 18 19 20
21 22 23 24 25 26 27 28 29
19.47 20.40 21.33 22.25 23.18 24.11 25.03 25.96 26.89 27.82
7.87 8.24 8.62 8.99 9.37 9.74 10.11 10.49 10.86 11.24
19.44 20.36 21.29 22.21 23.14 24.06 24.99 25.92 26.84 27.77
7.96 8.33 8.71 9.09 9.47 9.84 10.22 10.60 10.98 11.36
19.40 20.33 21.25 22.17 23.10 24.02 24.94 25.87 26.79 27.72
8.04 8.42 8.80 9.18 9.57 9.96 10.33 10.72 11.10 11.48
19.37 20.29 21.21 22.13 23.06 2.~. 98 24.90 25.82 26.74 27.67
8.12 8.51 8.89 9.28 9.67 10.05 10.44 10.83 11.21 11.60
21 22 23
31 32 33 34 35 36 37 38 39 40
28.74 29.67 30.60 31.52 32.45 33.38 34.31
28.69 29.62
36.16 37.09
11.61 11.99 12.36 12.74 13.11 13.49 13.86 14.24 14.61 14.98
11.74 12.12 12.50 12.87 13.25 13.63 14.01 14.39 14.77 15.15
28.64 29.56 30.49 31.41 32.34 33.26 34.18 35.11 36.03 36.96
11.86 12.25 12.63 13.01 13.39 13.78 14.16 14.54 14.92 15.31
28.59 29.51 30.43 3\.35 32.28 33.20 34.12 35.04 35.97 36.89
11.99 12.37 12.76 13.15 13.53 13.92 14.31 14.70 15.08 15.47
38 39 40
41 42 43 44 45 46 47 48 49 50
38.01 38.94 39.87 40.80 41.72 42.65 43.58 44.50 45.43 46.36
15.36 15.73 16.11 16.48 16.86 17.23 17.61 17.98 18.36 18.73
15.52 15.90 16.28 16.fl6 17.04 1i.42 17.80 18.18 18.55 18.93
37.88 38.80 39.73 40.65 41.57 42.50 43.42 44.35 45.27 46.19
IS. 69 16. 07 16.46 16.84 17.22 17.60 17.99 18.37 18.75 19.13
37.81 38.73 39.65 40.58 41.50 42.42 43.34 44.27 45.19 46.11
15.86 16.24 16.63 17.02 17.40 17.79 18.18 18.56 18. 95 19.34
41 42 43 44 45 46 47 48 49 50
: ! 30
,
Dep.
~o.
0.93 1.85 2.78 3.71 4.64 5.56 6.49 7.42 8.34 9.27
1 2 3 4 5 6 7 8 9 10
:
Lat.
--.-
22~·.
2234°·
35.2.~
3O.M
31. 47 32.39 33.32 34.24 35.17 36.10 37.02 37.96 38.87 39.80
4O.i2
41.65 42.57 43.50 44.43 45.35 46.28
24
25 26 27 28 29 30
31 32 33 34 35 36 37
- - - - - - - - - - --- --- - - - - - - - - - - 11
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
~
.3 ~
68·.
67",40.
II 52
13iJ1°.
Dep. I
I
I
Lat.
6734··
8
~"
A
TABLE 4.-TRAVERSE fABLE.
~
~
22·.
..
S
I I
I
22~·.
22~·.
tl
0;-
S-
Dep. Lat. Dep. Lat. Dep. Lat. Lat. Dep. 16" - - - - - - - - - - - - - !- - - - - - - - --- - -
"!" (')
47.29 48.21 49.14 50.07 51.00 51. 92 52.85 53.78 54.70 55.63
19.10 19.48 19.85 20.23 20.60 20.08 21.35 21. 73 22.10 22.48
47.20 48.13 49.05 49.98 50.90 51.83 52.76 53.68 54.61 55.53
19.31 19.69 20.07 20.45 20.83 21.20 21.58 21. 96 22.34 22.72
47.12 48.04 48.97 49.89 50.81 51. 74 62.66 53.59 54.51 55.43
19.52 19.90 20.28 20.66 21. 05 21. 43 21. 81 22.20 22.58 22.96
47.03 47.95 48.88 40.80 50.72 51.64 62.57 53.49 54.41 65.33
19.72 20.11 20.50 20.88 21. 27 21. 66 22.04 22.43 22.82 23.20
51 52 53 54 65 56 57 58 69 60
22.85 23.23 23.60 23.n7 24.35 24.12 25.10 25.47 25.8.5 26.22
56.46 57.38 58.31 59.23 60.16 61.09 62.01 62.M 63.86 64.79
23.10 23.48 23.85 24.23 24.61 24.99 25.37 25.75 26.13 26.51
56.36 57.28 58.20 59.13 60.05 60.98 61.90 62.82 63.75 64.67
23.34 23.73 24.11 24.49 24.87 25.2ti 25.64 26.02 26.41 26.79
56.25 57.18 58.10 69.02
67 68 69 70
56.56 57.49 58.41 59.34 60.27 61.19 62.12 63.05 63.98 64.90
60.87 61.79 62.71 63.63 64.65
23.59 23.98 24.36 24.75 25.14 25.52 25. 91 26.30 26.68 27.07
61 62 63 64 .65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
65.83 66.76 67.68 68.61 69.54 70.47 71.39 72.32 73.25 74.17
26.60 26.07 27.35 27.72 28.10 28.47 28.84 29.22 29.59 29.97
65.71 66.64 67.56 68.49 f\9.42 70.34 71.27 72.19 73.12 74.04
26.88 27.26 27.64 28.02 28.40 28.78 29.16 29.53 29.91 30.29
65.60 66.52 67.44 68.37 6ll.29 70.21 71.14 72.00 72.99 73.91
27.17 27.55 27.94 28.32 28.70 29.08 29.47 29.85 30.23 30.61
65.48 66.40 67.32 68.24 69.17 70.09 71. 01 71. 93 72.85 73.78
27.46 27.84 28.23 28.62 29.00 29.39 29.78 30.16 30.55 30.94
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 IlO
75.10 76.03 76.96 77.88 78.81 79.74 80.66 81.59 82.52 83.45
30.34 30.72 31.09 31. 47 31.84 32.22 32.59 32.97 33.34 33.71
74.97 75.89 76.82 77.75 78.67 79.60 80.52 81.45 82.37 83.30
30.67 31.05 31. 43 31.81 32.19 32.56 32.94 33.32 33.70 34.08
74.83 75.76 76.H8 77. 61 78.53 79.45 80.38 81.30 82.23 83.15
31.00 31.38 31. 76 32.15 32.53 32.91 33.29 33.68 34.00 34.44
74.70 75.62 76.54 77.46 78.39 79.31 80.23 81.1.';' 82.08 83.00
31. 32 31. 71 32.10 32.48 32.87 33.26 33.64 34.03 34.42 34.80
81 82 83 84 85 I 86 87 88 80 90
91 92 93 94 95 96 97 98 09 100
84.37 85.30 86.23 87.16 88.08 89.01 89.!l4 90.86 91. 79 02.72
34.09 34.46 34.84 35.21 35.59 35.96 36.34 36.71 37.09 37.46
84.22 85.15 86.08 87.00 87.93 88.85 89.78 90.70 91.63 92.55
34.46 34.84 35.21 35.59 35.97 36.35 36.73 37.11 37.49 37.86
84.07 85.00 85.92 86.84 87. i7 88.fl9 89.62 90.54 91.46 92.39
34.82 35.21
83.n2 84.84 85.76 86.[,9 87.(il 88.53 89.45 90.38 91. 30 92.22
35.19 35.58 35.96 36.35 36.74 37.12 37.51 37.90 38.28 38.67
51 52 53 54 65
SO
57 58 59 60 61 62 63 64 65 66
35.fi9
35.07 36.35 36.74 37.12 37.50 37.89 38.27
09.94
91 92 93 94 95 96 97 98 99 100
- - --- - - - --- - - - --- - - - - - - - - - - ~
!
~
Dep. 68·.
Lat.
Dep.
II
Lat.
6m··
Dep.
Lat.
Dep.
Lat.
~
"os
I
67~·.
67~·.
&
TABLE ,I.-TRAVERSE TABLi. t:t
II
1314··
23'.
10 ~
23~·.
I I
t:t
23~·.
10
'" Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 16~ l" - - - - - - - - - - - - - - - - - I- - - - - - <".l
I 2 3 4 5 6 7 8 9 10
0.92 1.84 2.76 3.68 4.60 5.52 6.44 7.36 8.28 9.21
0. 39 0.78 1.17 1.56 1. 95 2.34 2.74 3.13 3.52 3.91
0.92 1.84 2.76 3.68 4.59 5.51 6.43 7.35 8.27 9.19
0.39 0.79 1.18 1.58 1. 97 2.37 2.76 3.16 3.55 3.95
0.92 1.83 2.75 3.67 4.59 5.50 6.42 7.34 8.25 9.17
0.40 0.80 1.20 1.59 1.99 2.39 2.79 3.19 3.59 3.99
0.92 1.83 2.75 3.66 4.58 5. 49 6.41 7.32 8.24 0.15
0.40 0.81 1.21 1.61 2.01 2.42 2.82 3.22 3.62 4.03
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15
10.13 11. 97 12.89 13.81 14.73 15.65 16.57 17.49 18.41
4.30 4.69 5.08 5.47 5.86 6.25 6.64 7.03 7.42 7.81
10.11 11.03 11.94 12.86 13.78 14.70 15.62 16.54 17.46 18.38
4.34 4.74 5.13 5.53 5.92 6.32 (i. 71 7.11 7.50 7.89
10.09 11.00 11.92 12.84 13.76 14.67 15.59 It). 51 17.42 18.34
4.39 4.78 5.18 5.58 5.98 6.38 6.78 I 7.18 7.58 7.97
10.07 10.98 11. 90 12.81 13.73 14.64 15.50 16.48 17.39 18.31
4.43 4.83 5.24 6.64 6.04 6.44 6.85 7.25 7.65 8.05
12 13 14 15 16 17 18 19 20
19.33 20.25 21.17 22.09 23. 01 23. 93 24.85 25.77 26.69 27.62
8.21 8.60 8.99 9.38 9.77 10.16 10.55 10.94 11.33 11.72
19.29 20.21 21.13 22.05 22.97 23.89 24.81 25.73 26.64 27.56
8.29 8.68 9.08 9.47 9.87 10.26 10.66 11.05 11.45 11.84
19.26 20.18 21.09 22.01 22.93 23.84 24.76 25.68 2(i.59 27.51
8.37 8.77 9.17 9.57 9.97 10.37 10.77 11.16 11.56 11.00
19.22 20.14 21.05 21.97 22.88 23.80 24.71 25.63 26.54 27.46
8.46 8.86 9.26 9.67 10.07 10.47 10.87 11.28 11.68 12.08
34.98 35.90 36.82
12.11 12.50 12.89 13.28 13.68 14.07 14.46 14.85 15.24 15.m
28.48 29.40 30.32 31. 24 32.16 33.08 34.00 34.91 35.83 36.75
12.24 12.63 13.0.1 13.42 13.82 14.21 14.61 15.00 15.40 15.79
28.43 29.35 30.26 31.18 32.10 33.01 33.93 34.85 35.77 36.68
12.36 12.76 13. In 13.51; 13.9(, 14 35 14.75 15.15 15.55 15.95
28.37 29.29 30.21 31.12 32.04 32.95 33.87 34.78 35.70 36. 61
12.49 12.89 13.29 13.(;9 14.10 14.50 14.90 15.30 15.71 16.11
31 32 33 34 35 36 37 38 39
37.74 38.(;(; 39.58 40.50 41. 42 42.34 43.26 44.18 45.10 46.03
16.02 lH.41 1t>.80 17.19 17.58 17.97 18.3(; 18.76 19.1.'; 10.54
37.67 a8.59 39.51 40.43 41.35 42.2f> 43.18 44.10 45.02 45.94
16.18 16.58 16.97 17.37 17.76 18.16 ' 18.55 18.95 19.34 19.74
37.60 38.52 39.43 40.35 41. 27 42.18 43.10 44.02 44.94 45.85
16.35 16.7f> 17.15 17.54 17.94 18.34 18.74 19.14 19.54 19.94
37.53 38.44 39.36 40.27 41.19 42. JO 43.02 43.93 44.85 45. 77
16.51 16.92 17.32 17.72 18.12 18.53 18. 93 19.33 19.73 20.14
41 42 43 44 45 46 47 48 49 50
11.05
It.
17 18 19 20 21 22 23 24 25 26 27 2l!
29 30 31 32 33 34 35 3(; 37 38 39 40 41 42 43 44 45 4f)
47 48 49 50
1
28.54 29.46 30.38 :11.30 32.22 3.1.1·' 34.W
1
I
11
21 22 23 24 25 26 27
28 29 30
40
- - - - - - - - - - - - - - - - - - - - - --- - ~
li II
A
Dep.
Lat. 67·.
Dep.
Lat. ~
..
Dep.
I
Lat.
~
..
Dep.
Lat. ~
..
...,
<>
iA
TA.BLE 4.-TBA.VEBSE TA.BLE. t;:j
!O
23 0•
I
J
23~0.
~o.
I
23~0.
~
!O
S-
Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. ~ - - - - - - - - - --- - - - - - - --- --- - 51 52 1>3 54 55 66 67 58 69 60
46.95 47.87 48.79 49.71 60.63 M.55 52.47 53.39 54.31 55.23
19.93 20.32 20.71 21.10 21. 49 21.88 22.27 22.66 23.05 23.44
46.86 47.78 48.70 49.61 60.53 61. 45 52.37 53.29 54.21 55.13
20.13 20.53 20.92 21.32 21. 71 22.11 22.00 22.90 23.29 23.68
46.77 47.69 48.60 49.52 00.44 51.36 52.27 53.19 54.11 66.02
20.34 20.73 21.13 21.53 21.93 22.33 22.73 23.13 23.53 23.92
46.68 47.60 48.51 49.43 60.34 61.26 52.17 53.09 54.00 54.92
20.54 20.94 21.35 21.75 22.15 22.55 22.96 23.36 23.76 24.16
61 52 53 54 55
61 62 63 64 G5 66 67 fl8
66.15 67.07 57.00 58.91 50.83 60.75 61.67
69
63.51 64.44
66.05 66.97 57.88 58.80 50.72 60.64 61.56 62.48 63.40 64.32
24.08 24.47 24.87 26.26 26.00 26.05 26.45 26.84 27.24 27.63
55.94 66.86 57.77 58.00 59.61 60.53 61.44 62.36 63.28 64.19
24.32 24.72 26.12 26.52 26.92 26.32 26.72 27.11 27.6\ 27.91
66.83 56.75 57.66
70
23.83 24.23 24.62 26.01 26.40 25.79 26.18 26.57 26.96 27.35
24.57 24.97 25.37 26.78 26.18 26.58 26.98 27.39 27.79 28.19
61 62 1i3 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
65.36 27.74 66.28 28.13 67.20 28.52 68.12 28.91 29.30 00.04 29.70 00.96 70.88 . 30.09 71.80 30.48 72.72 30.87 13.64 31. 2tI
$Il.23 66. Iii 67.07 67.00 68.91 60.83 70.75 71. 67 72.58 13.00
28.03 28.42 28.82 29.21 29.61 30.00 30.40 30.79 31.18
28.31 28. 71 29.11 29.61 29.91 30.30 30.70 31. 10 31.00 31.90
70.48 71.39 72.31 13.22
28.60 29.00 29.40 29.80 30.21 30.61 31.01 31.n 31.82 32.22
71 72 73
31.68
66.11 66.03 66.95 67.86 68.78 09.70 70.61 71. 53 72.45 73.36
75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
74.66 75.48 76. 40 77.32 78.24 79.16 80.08 81.00 81.92 82.85
31. fI5 32.04 32.43 32.82 33.21 33.00 33.00 34.38 34.78 35.17
74.42 75.34 76.26 77.18 78.10 79.02 79.93 80.85 81. 77 82.69
31.97 32.37 32.76 33.16 33.55 33.95 34.34 34.74 35.13 35.53
74.28 75.20 76.12 77.03 77.95 7R.87 79.78 80.70 81. 62 82.54
32.30 32.70 33.10 33.49 33.89 34.29 34.00 35.09 35.49 35.89
74.14 75.00 75.97 76.89 77.80 78.72 79.63 80.55 81. 4r. 82.38
32.62 33.03 33.43 33.83 34.23 34.64 35.04 35.44 35.84 38.26
81 82 83 84 85 80 87 88 89 90
91 92 93 94 95 00 97 9R 00
83.77 84.69 85.fl1 86.53 87.46 88.37 89.29 90.21 91. 13 92.05
35.66 35.95 36.34 36.73 1fT. 12 1fT. 51 1fT. 90 38.29 38.68 39.07
83.61 84.53 85.45 86.37 87.29 88.20 89.12 90.04 90.96 91.88 .
35.92 38.32 38.71 1fT. It 37.60
36.29 38.68
83.29 84.21 85.12
36.66
39.08 39.47
83.45 84. 1fT 85.29 86.20 87.12 88.04 88.95 89.87 90.79 91.71
38.28 38.68 39.08 211.48 29.87
91 92 93 94 96 00 97 98 99 100
Lat.
Dep.
Lat.
100
62.59
~
is
Lat.
Dep. 67 0•
38.211
38.6~
59.60 60.41 61.33 02.24 63.16 64.07 64.00 66.00 66.82 (;1.73 68.66
00.66
1fT. 08 1fT. 48 1fT. 88
86.04 86.95
1fT. 05 1fT. 46 1fT. 80
87.87 88.79 89.70 90.62 91.53
38.26 38.66 39.07 39.47 39.87 40.27
Dep.
Lat.
67 58 69 60
74
- - - - - - - --- - - - - -.;-
- - --- - ~ CI
1fT. 90
68.68
56
I Dep. II
OOW.
I
;
"CI
~
66~0.
...... I
06~0.
-S
TA.BLE 4.-TRA.VBBSB TABLI. t:I 1.0
J
24°.
Dep.
Lat.
24~0.
24)4°.
Lat.
Dep.
Lat.
- - - - --- - - - - - - - - 0.41 0.81 1.22 1.63 2.03 2.44 2.85 3.25 3.66 4.07
0.91 1.82 2.74 3.65 4.56 5. 47 6.38 7.29 8. 21 9.12
0.41 0.82 1.23 1.64 2.05 2.46 2.88 3.29 3.70 4.11
0.91 1.82 2.73 3.64 4.55 5.46 6.37 7.28 8.19 9.10
4. 47 4.88 5.69 6.10 6.51 6.91 7.32 7.73 8.13
10.03 10.94 11.8.5 12.76 13.68 14.59 15.m 16.41 17.32 18. 24
4.52 4.93 5.34 5.75 6.16 6.57 6.98 7.39 7.80 8. 21
10.01 10.92 11.83 12.74 13.65 14.56 15. 47 16.38 17.29 18. 20
27 28 29 30
19.18 20.10 21.01 21. 93 22.84 23.75 24.67 25.58 26.49 27.41
8.54 8.95 9.35, 9.76 10.17 10.58 10.98 11.39 n.so 12.20
19.15 20.06 20.97 21. 88 22. 79 23.71 24.62 25. 53 26.44 27.35
8.63 9.04 9.45 9.86 10.27 10.68 11.09 11.50 11.91 12.32
19.11 20.02 20.93 21.84 22. 75 23.66 24.57 25.48 26.39 27.30
31 32 33 34 35 36 37 38 39 40
28.32 29.23 30.15 31. 06 31.97 32.89 33.80 34.71 35.63 36.54
12.61 13.02 13.42 13.83 14.24 14.64 15.05 15.46 15.86 16.27
28.26 29.18 30.09 31.00 31.91 32.82 33. 74 34.65 35.56 36.47
12.73 13.14 13.55 13.96 U.38 14.79 15.20 15.61 16.02 16.43
28. 21 29.12 30. 03 30.94 31.85 32.76 33.67 34.58 35.49 36.40
41 42 43 44 45 46 47 48 49 50 ,-
37.46 38.37 39.28 40.20 41.11 42.02 42.94
16.68 17.08 17.49 I 17.90 I 18.30 18.71 19.12 19.52 19.93 20.34
37.38 38.29 39.21 40.12 41. 03 41. 94 42.85 43.76 44.68 45. .>9
16.84 17.25 17.66 18.07 18. 48 18.89 19.30 19.71 20.13 20.54
37.31 38.22 39.13 4G.04 40.95 41.86 42.77 43.68 44.59 45.50
I 2 3 4 5 6 7 8 9
10
0.91 1.83 2.74 3.65 4.57 5. 48 6.39 7.31 8.22 9.14
11 12 13 14 15 16 17 18 19 20
10.05 10.96 11.88 12.79 13.70 H.62 15.5.1 16.44 17.36 18. 27
21 22 23 24 25 26 :
I
j
43.85
44.76 45.68
5.2\!
t:I
24~0.
Dep.
Lat.
~I~ 0.83 1.82
g
Dep.
~
--- -0.42 0.84 1.26 1.67 2.09 2.51 2.93 3.35 3.77 4.19
1 2 3 4 5 6 7 8 9 10
18.16
4.61 5.02 5.44 5.86 6.28 6.70 7.12 7.54 7.95 8.37
11 12 13 14 15 16 17 18 19 20
19.07 8.71 9.12 19.98 20.89 9.54 21. 80 9.95 10. 37 . 22.70 10.78 ' 23.61 n.20 I 24.52 11. 61 25. 43 12.03 26.34 27.24 12.44
8. 79 9.21 9.63 10.05 10.47 10.89 11.30 11.72 12.14 12.L6
21 22 23 24
12.86 13.27 13.68
12.98 13.40 13.82 14.23 14.65 15.07 15. 49 15.91 16. 33 HI. 75
31
14.51 14.93 15.34 15.76 16.17 16. .>9
28.15 29.06 29.97 30.88 31. 79 32.69 33.60 34.51 35.42 36.33
33 34 35 36 87 38 39 40
17.00 17.42 17.83 . 18.25 I 18. 66 19.08 19.49 19.91 20.32 20.73
37.23 38.14 39.05 39.96 40.87 41.77 42.68 43. .>9 44.50 45. 41
17.17 17.58 18. 00 18. 42 18.84 19.26 19.68 20.10 20.51 20.93
41 42 43 44 45 46 47 48 49 : 50
24 1.66 1. 1 2.07 2.49 2.90 ' 3.32 3.73 4.15
2.72 3.63 4.54 5.45 6.36 7.27 8.17 9.08
4.56 4.98 5.39 . 5.81 I 6.22 . 6.64 I 7.05 7.4fi 7.88 8.29
9.99 10.90 11.81 12.71 13.62
14.10
14.53 15.44 111-.35
17.25
25 26
27 28 29 30
32
I- - - - - - - - - - - - - - - - -Dep·l~ I Dep. Lat. Dep. Lat. Dep. Lat. I
66°,
i
~
•.
65~0.
56
tl5J4 0.
J
is
~~.!b~~it''f..-TRAVER8E TABLt.:. t::1 In
24~0.
24'.
24~0.
241,40.
!0t:l
li
Lat.
IH 62 63 64 65 56 57 68 69
46.59 47.60 48.42 49.33 60.26 51.16 62. rJ1 62.99 63.90 114.81
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
t:I In
J
- - - - - --- --- - - - - - - - - - - - - - - - - 20.74 21.15 21.56 21.96 22.78 23.18 23.59 24.00 24.40
46.60 47.41 48.32 49.24 60.16 61.06 61.97 62.88 53.79 64.71
20.95 21.36 21. 77 22.18 22.59 23.00 23.41 23.82 24.23 24.64
46.41 47.32 48.23 49.14 60.05 60.96 51.87 62.78 63.69 64.60
21.15 21.56 21.98 22.39 22.81 23.22 23.64 24.05 24.47 24.88
46.32 47.22 48.13 49.04 49.95 60.86 61. 76 62.67 63.68 114.49
21.35 21.77 22.19 22.61 23.03 23.44 23.86 24.28 24.70
26.12
IH 62 63 64 65 56 67 68' 69 60
24.81 25.22 25.62 26.03 26.44 26.84 27.26 27.66 28.06 28.47
65.62 56.53 57.44 68.35 69.26 60.18 61.09 62.00 62.91 63.82
25.05 25.46 26.88 26.29 26.70 27.11 27.52 27.93 28.34 28.75
65.51 56.42 57.33 118.24 69.15 60.06 60.97 61.88 62.79 63.70
25.30 26.71 26.13 26.54 26.96 27.37 27.78 28.20 28.61 29.03
65.40
67 68 69 70
65.73 56.64 57.65 118.47 69.38 60.29 61.21 62.12 63.03 63.95
56.30 67.21 68.12 69.03 69.94 60.85 61. 76
25.54 25.96 2&.38 26.79 27.21 27.63 28.05 28.47 28.89 28.31
61 62 63 64 65 66 67 ' 68 69 70
71 72 73 74 75 76 77 78 79 80
64.86 65.78 66.69 67.60 68.52 69.43 70.34 71.26 72.17 73.08
28.88 29.29 29.69 30.10 30.51 30.91 31.32 31.73 32.13 32.54
64.74 65.65 66.56 67.47 68. "38 69.29 70.21 71.12 72.03 72.94
29.16 29.57 29.98 30.39 30.80 31. 21 31. 63 32.04 32.45 32.86
64.61 65.52 67.34 68.26 69.16 70.07 70.98 71.89 72.80
29.44 29.86 30.27 30.69 31.10 31.52 31.93 32.35 32.76 33.18
64.48 65.39 66.29 67.20 68.11 69.02 69.93 70.84 71.74 72.65
29.72 30.14 30.56 30.98 31. 40 31.82 32.24 32.66
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
74.00 74.91 75.82 76.74 77.65 78.56 79.48 80.39 81.31 82.22
32.95 33.35 33.76 34.17 34.57 34.98 35.39 35.79 36.20 36.61
73.85 74.76 75.68 76.69 77.60 78.41 79.32 80.24 81.15 82.06
33.27 33.68 34.09 34.50 34.91 35.32 35.73 36.14 36.55 36.96
73.71 74.62 75.63 76.44 77.35 78.26 79.17 80.08 80.99 81.90
33.59 34.00 34.42 34.83 35.26 35.66 36.08 36.49 36.91 37.32
73.56 74.47 75.38 76.28 77.19 78.10 79.01 79.92 80.82 81.73
33.91 34.33 34.75 35.17 35.59 36.00 36.42 36.84
91 92 93 94 95 96 97 98 99
83.13 84.05 84.96 85.87 86.79 87.70 88.61 89.53 90.44 91.35
37.01 37.42 87.83 38.23 38.64 39.05 39.45 39.86
37.38
39.40
41.05 41.47
82.64 83.55 84.46 85.37 86.27 87.18 88.09 89.00 89.91 90.81
38.10 38.52 38.94 39.35 89.77
40.26 40.66 41.rJ1
82.81 83.72 84.63 85.54 86.45 87.36 88.27 89.18 90.09 91.00
:n.74
40.27 40.67
82.97 83.88 84.79 85.71 86.62 87.63 88.44 89.35 90.26 91.18
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
60 61 62 63 64 65
66
100
22.:n
:n.79 38.20 38.61 39.02 39.43 39.84
66.43
38.15 38.57 38.98
39.81
40.23 40.64
62.66 63.67
33.rJ1
33.49
:n.26 :n.68
40.19
40.61 41.03 41.45 41.87
81 82 83 84 85 86 87 : 88 89 90 91 92 93 94 95 96 97 98 99 100
- - - - - - - - --- --- --- --- - - - - - - -Ii
I
Dep.
Ii
j 66'.
65'4 0•
fl63-i 0•
57
65~0.
~,
Q:
TABLE 4.-TBAVERSE TABLE. t:l
',.,"
25°.
t:I
!"
Lat.
Dep.
Lat.
Dep.
!" Lat.
- - --- - - - - - - - - -
Dep.
'"
!"
0.43 0.87 1.30 1.74 2.17 2.61 3.04 3.48 3.91 4.34
1 2 3 4 5 6 7 8 9 10
9.93 10.83 11.73 12.64 13.M
18.05
4.74 5.17 5.60 6. 0.1 6.46 6.89 7.32 7.75 8.18 8.61
9.91 10.81 11.71 12.61 13.51 14.41 15.31 16.21 17.11 18.01
4. 78 5.21 5.65 6.08 6.52 6.95 7.39 7.82 8.25 8.69
11 12 13 14 15 16 17 18 19 20
18.95 19.86 20.76 21. 66 22.56 23.47 24.37 25.27 26.17 27.08
9.04 9.47 9.90 10.33 ·10.76 11.19 11.62 12.05 12.48 12.92
18.91 19.82 20.72 21.62 22.52 23.42 21.32 25.22 26.12 27.02
9.12 9.56 9.99 10.43 10.86 11.30 11.73 12.16 12.60 13.03
21 22 23 24 25 26 27 28 29 30
13.22 13.65 14.08 14.50 14.93 15.36 15.78 16. 21 16. 64 17.06
27.98 28.88 39.79 30.69 31.59 32.49 3.1.40 34.30 35.20 36.10
13.35 13.78 14.21 14.64 15.07 15.50 15.93 16.30 16.79 17.22
27.92 28.82 29.72 30.62 31. 52 32.43 33.33 34.23 35.13 36. 03
13.47 13.90 14.34 14.77 15.21 15.64 16.07 16.51 16.94 17.38
31 32 33 34 35
17.49 17.92 18. 34 18.77 19.20 19.62 20.05 20.48 20.90 21.33
37.01 37.91 38.81 39.71 40.62 41.52 42.42 43.32 44.23 45.13
17.65 18.08 18.51 18.94 19.37 19.80 20.23 20.H6 21.10 21. 53
36.93 37.83 38.73 39.63 40.53 41. 43 42.33 43.23 44.13 45.03
17.81 18. 25 18. 68 19.12 19.55 19.98 20.42
0.90 1. 81 2.71 3. 62 4.52 6.43 6.33 7.24 8.14 9.04
11 12 13 14 15 16 17 18 19 20
9.97 10.88 11.78 12. 69 13.59 14.50 15.41 16.31 17.22 18.13
4.65 5. 07 5. 49 5. 92 6. 34 6. 76 7.18 7.61 8.03 8.45
9.95 10.85 11.76 12.66 13.57 14.47 15. 38 16.28 17.18 18.09
4.69 5.12 5.55 6.97 6.40 6.83 7.25 7.68 8.10 8.53
21 22 23 24 25 26 27
19.03 19.94 20.8.5 21.75 22.66 23.56 24.47 25.38 26.28 27.19
8.87 9.30 9.72 10.14 10.57 10.99 11.41 11.83 12.26 12.68
18. 99 19.90 20.80 21. 71 22.61 23.52 24.42 25.32 26.23 27.13
8.96 9.38 9.81 10.24 10.66 11.09 11.52 11.94 12.37 12.80
36 37 38 39 40
28.10 29.00 29.91 30.81 31.72 32.63 33.53 34.44 36.35 36.25
13.10 13.52 13.95 14.37 14.79 15.21 15. fA 16.00 16.48 16.00
28.04 28.94 29.8.5 30.75 31. 66 32.56 33.46 34.37 35.27 36.18
41 42 43 44 45 46 47 48 49 50
37.16 38.00 38.97 39.88 40.78 41. 69 42. (jQ 43.50 44.41 45.32
17.33 17.75 18.17 18. (jQ 19.02 19.44 19.86 20.29 20.71 21.13
37.08 37.99 38.89 39.80 40.70 41. 60 42.51 43.41 44.32 45.22
35
Lat.
-- -- -0.90 1.80 2.70 3.60 4.50 5.40 6.30 7.21 8.11 9.01
0.42 0.8.5 1.27 1.69 2.11 2.54 2.96 3.38 3.80 4.23
31 32 33 34
Dep.
._0.43 0.80 1.29 1. 72 2.15 2.58 3.01 3.44 3.87 4.31
0.91 1.81 2.72 3.63 4.53 6. 44 6.34 7.25 8.16 9.06
28
'" g
0.90 1.81 2.71 3.61 4.51 5.42 6.32 7.22 8.12 9.03
I 2 3 4 5 6 7 8 9 10
29 30
i
t:l
~o.
257!i°.
2574".
1
r;
0.43 0.8.5 1.28, 1.71. 2.13 I 2.56 i 2.99 3.41 3.84 4.27
14.44 15. 34 16.25 17.15
2O.~5
21. 29 21.72
36
37 38 39 40 41 42 43
44
45 46
47 48 49 50
- - - - - - - - - - - - - - - - - - - - - --- - -
8
Dep.
Lat.
Dep.
Dep.
Lat.
Lat.
Dep.
j
.l!/
A
65°.
~o.
I 58
647!i°.
~
Lat.
..
j A
TABLR 4.-TBAVERSE TABLB.
,. t:1
26°.
I
g
~o.
205).1°.
__ II.
~o.
,. t:1
J
~
Lat.
51 52 53 64 55 56 67 58 59 60
46.22 47.13 48.03 48.94 49.85 50.75 51.66 52.57 53.47 54.38
21.56 21.98 22.40 22.82 23.24 23.67 24.09 24.51 24.93 26.36
46.13 47.03 47.94 48.84 49.75 50.66 51.55 52.46 53.36 64.27
21.76 22.18 22.61 23.03 23.46 23.89 24.31 24.74 205.17 205.59
46.03 46.93 47.84 48.74 49.64 50.64 51. 45 52.35 53.205 64.16
21.96 22.39 22.82 23.205 23.68 24.11 24.64 24.97 26.40 26.83
45.94 46.84 47.74 48.64 49.64 50.44 51.34 52.24 53.14 64.04
22.16 22.69 23.03 23.46 23.89 24.33 24.76 26.20 205.63 26.fJ7
61 62 63 64 66 66 67 68 69 70
55.28 56.19 57.10 58.00 58.91 50.82 60.72 61.63 62.64 63.44
26.78 26.20 26.62 27.05 27.47 27.89 28.32 28.74 29.16 29.58
55.17 56.08 56.98 57.89 58.79 59.69
26.02 26.45 26.87 27.30 27.73 28.15 28.58 29.01 29.43 29.86
55.06 55.96 56.86 67.77 58.67 59.57 60.47 61.38 62.28 63.18
211.26 27.12 27.55 27.98 28.41 28.84 29.27 29.71 30.14
64.94 66.84 56.74 67.64 58.55 59.45 60.35 61.205 62.15 63.05
26.50 26.94 27.37 27.80 28.24 28.67 29.11 29.64 29.98 30.41
71 72 73 74 75 76 77 78 79 80
64.35 65.205 66.16 67.07 67.97 68.88 69.79 70.69 71.60 72.60
30.01 30.43 30.85 31.27 31. 70 32.12 32.54 32.96 33.39 33.81
64.22 65.12 66.03 66.9:1 ()7.83 68.74 70.55 71.45 72. 36
30.29 30.71 31.14 31.57 31.99 32.42 32.85 33.27 33.70 34.13
64.08 64.99 65.89 66.79 67.69 68.60 69.50 70.40 71. 30 72.21
30.67 31.00 31. 43 31.8fi 32.2IJ 32.72 33.15 33.58 34. 01 34.44
63.95 64.85 65.75 66.65 67.55 68.45 69.35 70.205 71.16 72.06
30.85 31.28 31.71 32.15 32.58 33.02 33.45 33.89 34.32 34.76
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
73.41 74. 32 75.22 76.13 77.04 77.94 78.85 79.76 80.66 81.57
34.23 34.65 35.08 35.60 35.92 36.35 36.77 37.19 37.fil 38.04
73.26 74.17 75.07 75.97 76.88 77.78 78.69 79.59 80.50 81.40
34.55 34.98 35.41 35.83 , 36.26 36.68 37.11 37.64 37.96 38.39
73.11 74.01 74.91 75.82 76.72 77.62 78.52 79.4.3 80.33 81.23
34. 87 35.30 35.73 36.16 36.59 37.62 37.45 37.88 38.32 38.75
72.96 73.86 74.76 75.66 76.56 77.46 78.36 79.26 80.16 81.06
35.19 35.62 36.00 36.49 36.93 37.36 37.80 38.23 38. 67 3i.1O
81 82 83 84 85 1<6. 87 88 89 90
91
82.47 83.38 84.29 85.19 86.10 87.01 87.91 88.82 89.72 90.63
38.46 38.88 39.30 39.73 40.15 40.57 40.99 41.42 41.84 42.26
82.31 83.21 84.11 85.02 85.92 86.83 87.73 88.64 89.54 90.45
38.82 39.24 39.67 40.10 40.52 40.95 41.38 41.80 42.23 42.66
82.14 83.04 83.94 84.84 85.75 86. r.s 87.55 88.45 89.36 90.26
39.18 39.61 40.04 40.47 40.90 41.33 41.76 42.19 : 42. 62 1 48.05 ,
81.96 82.86 83.76 84.67 85.57 86.47
3i.53 39.97 40.40 40.84 41. 27 41.71 42.14 42.58 43.01 43.44
Dep.
Lat.
Dep.
Lat.
Lat.
Dep.
Dep.
- - - - - --- --- - - - --- - - - --- - - - --
92 93 94 95 96 97 98 99 100
60.60 61.50 62.41 63.31
69.64
26.69
'i!J.37
88.27 89.17 9O.fJ7
61 52 53 64 66 56 67 58 69
00 61
62 63 64 65 66 67 68 69 70
91
92 93 94 95 96 97 98 99 100
- - --- - - - --- - - - --- ---I - - - - - 8 Dep. Lat. Dep. Lat. Dep. Lat. I Dep. Lat. 8 ~
is
65°.
(IoIlI,40.
~'.
59
1
I
643(0.
!is
II
TABLE •. -TRAVERSE TABLI. 26UO.
26°.
Lat.
Dep.
Lat.
I
26J.<J°.
Lat.
Dep.
Dep.
Lat.
Dep.
I:;!
J
-------- ------ ------ ------1~« ~38
~90
~« ~38
~89
~45 ~89
~89
~45 ~90
6
1.80 2.70 3.60 4.49
~39
1.32 1.75 2.19
2.69 3.59 4.48 ~38
1.33 1.77 2.21
295
2.68 3.58 4.47
1.34 1.78 2.23
2.68 3.57 4.46
L36
1.35 1.80 2.25
2m
7 8 9 10
&29 7.19 8.00 8.99
3.07 3.51 3.95 4.38
&28 7.17 8.07 8.97
3.10 3.54 3.98 4.42
&26 7.16 8.05 8.95
3.D 3.57
&25 7.14 8.04 8.93
3.g 3.60 4.50
7 8 9 10
11
9.89 10.79
4.82 0.26 S.70 6.14 6.58 7.01 7.45 7.89 8.33 8.77
9.87 10.76 11. (j6 12.56 13.45 14.35 IS. 25 16.14 17.04 17.94
4.87 5.31 5.75 6.19
9.84 10.74
4.91 5.35 5.80 6.25
9.82 10.72 11.61 12.50 13.39 14.29 15.18 16.07 16.97 17.86
4.95 0.40 0.85 6.30 6.75 7.20 7. C15 8.10 8.55 9.00
11 12 13 14 15 16 17 18 19 20
9.21
18.83 19.73 20.63 21.52 22.42 23.32 24.22
9.45 9.90 10.35 10.80 11.25
11.94
26.01 26.91
12.38 12.83 13.27
21 2'1 2'J 24 25 26 27 28 29 30
1 2 3 4 5
12 1:1 14 15 16 17 18 19 20 21 22 23 24 25
11.68 12.58 13.48 14.38 15.28 16.18 17.08 17.98
11.40
27.86 28.76
59
13. 14.03
40
30.,,0 31.46 22.36 33.26 34.15 36.05 36.95
14.47 14.90 IS. 34 15.78 16.22 16.6H 17.10 17.53
41 42 43 44 45 46 47 48 49 60
36.85 :fT. 75 38.C,5 39.55 40.45 41.34 42.24 43. 14 44.04 44.94
27 28 29 30
31 32 33 34 35 36 37 38
I.m
263
18.87 19.77 20.67 21.57 22.47 23.37 24.27 25.17 26.07 26.96
26
9.64 10.08 10.52 10.96
11.84 12.27 12.71 13.15
25.11
27.80
I.m
LU
268 ~~
4.46
11.63 12.53 13.42 14.32 15.21
6.63 7.08 7.52 7.96 8.40 8.85
9.29 9. i3 10.17 10.61 11.06 11.50 I
6.69 7.14 7.59
I.m
16.11
8.03
17.00 17.90
8.48 8.92
18.79 19.69 20.58 21.48 22.37 23.27 24.16 25.06 25.95 26.85
9.37 9.82 10.26 10.71 11.15 11.60 12.05 12.49 12.94 13.39
18.75 19.05 20.54 21. 43 22.32 23.22 24.11 25.00 25.90
27.74
13.83 14.28 14.72 15.17 15.62 16.06 16.51 16.96 17.40 17.85
27.68
26.79
~05
11.70
12.15 12.60 13.05 13.50
1 2 3 4
6 6
31.25 32.15 33.04 33.9;1 34.83 35.72
17.10 17.55 18.00
31 32 33 34 35 36 37 38 39 40
36.61 U.51 38.40 39.29 40.18 41.08 41.97 42.86 43.76 44.65
18. 45 18.90 19.35 19.80 20.25 20.70 21.15 21.60 22.05 22.50
41 42 43 44 45 46 47 48 49 60
J ~--;:;- ~--;:;- r~~ ~~
~
~
&
39
:
~90
29.66
64°.
1
28.70 29.60 30.49 31.39 22.29 33.18 34.08 34.08 35.87
36.77
17.97 18.41 18.85
37.1l7 38.57 39.46 40.36 41.26 42.15 43.05 43.95 44.84
19.29 19.73 20.17 20.60 21.04 21.48 21. 92
I
13.71 14.15 14.60 15.04 15.48 10.92 16.36 16.81 17.25 17.69
28.64 29.53 30.43 31.32 32.22
33.11
34.01 34.90
35.80
18.13 18.58 19.~
19.46 19.90 20.35 20.79 21. 23 21. 67 22. 11
631,,°.
I
i
36.69 37.59 38.48 39.38 40.27 41.17 42.06 42.96 43.85 44.75
18.29 18.74 19.19
19.63 20.08 20.53 20.97 21.42 21.86 22.31
63J.<J°.
28.58 29.47 3O.3t;
13.95 14.40 14.85 15.30 15.75 16.20
16.65
roW·
TABLE 4.-TRA. VEasE TABLE.
f
i
26~0.
26°.
t:1
I
2tiI",0.
2672°.
t:1 ;-
Dep. Dep. Dep. Lat. Dep. Lat. Lat. " !i" --- --- - - -I- - - - --- - - - -
li
Lat.
61 62 53 64 55 56 57 58 59 60
45.84 46.74 47. f>4 48.53 49.43 50.33 61.23 62.13 53.03 53.93
22.36 22.80 23.23 23.67 24.11 24.65 24.99 25.43 25.86 26.30
45.74 46.64 47.53 48.43 49.33 50.22 61.12 62.02 52.92 53.81
22.56 23.00 23.44 23.88 24.33 24.77 25.21 25.65 26.10 26.64
45.64 46. 64 47.43 48.33 49.22 50.12 61.01 61. 91 52.80 53.70
22.76 23.20 23.65 24.09 24.64 24.99 25.43 25.88 26.33 26.77
45.64 46.43 47.33 49.11 50.01 50.90 61.79 62.69 53.58
22.00 23.41 23.86 24.31 24.76 25. 21 25.66 26.11 26.56 27.01
61 62 03 64 65 66 67 68 69 70
64.83 55.73 56.62 67.52 58.42 59.32 60.22 61.12 62.02 62.92
26.74 27.18 27.62 28.00 28.49 28.93 29.37 29.81 30.25 30.69
64.71 65.61 66.50 67.40 58.30 59.19 80.09 ro.99 61.88 62.78
26.98 27.42 27.&; 28.31 28.75 29.19 29.63 30.08 30.52 30.96
64.59 65.49 66.38 57.28 58.17 59. en 59.00 60.86 61. 75 62.65
27.22 27.66 28.11 28.56 29.00 29.45 29.90 30.34 30.79 31.23
64.47 65.36 56.26 67.15 58.04 58.94 59.83 60.72 61.62 62.51
27.46 27.91 28.36 28.81 29.26 29.71 30.16 30.61 31.06 31.61
61 62 63
71 72 73 74 75 76 77 78 79 80
6.1.81 64.71 65. til 66.61 67.41 68.31 69.21 70.11 71.00 71.90
31.12 31.66 32.00 32.44 32.88 33.32 33.75 34.19 34.63 35.07
63.68 64.67 65.47 66.37 67.27 68.16 69.06 69.00 70.85 71. 75
63.64 64.44 65.33 66.23 67.12 68.01
63.40 64.29 65.19 66.08
69.80 70.70 71.59
31. 68 32.13 32.57 33.02 33.46 33.91 34.36 34.M 35.25 35.70
67.87 68.76 69. f>5 70.65 71.44
31. 96 32.41 32.86 33.31 33.76 34.21 34.66 35.11 35.56 36.01
71 72 73 74 75 76 77 78 79 80
81 62 83 84 85 R6 87 88 89 90
72.80 73.70 74.60 75.60 76.40 77.30 78.26 79.09 79.99 80.89
35.61 35.95 36.38 36.82 37.2H 37.70 38.14 38.58 39.02 39.45
72.65 73.64 74.44 75.34 76.23 77.13 78.03 78.92 79.82 80.72
31.40 31. 84 32.29 32.73 33.17 33.61 34.06 34.60 34.94 35. 38 1 35.83 36.27 36.71 37.15 37.59 38.04 38.48 38.92 39.36 39.81
72. 49 73.38 74.28 75.17 76.07 76.00 77.86 78.75 79.65 80.64
36.14 36.69 37.03 37.48 37.93 38.37 38.82 39.27 39.71 40.16
72.33 73.2'l 74.12 75. 01 75. 90 76.80 77.69 78.58 79.48 80.37
36.46 36. 91 37.36 37.81 38.26 38.71 39.16 39.01 40.06 40.61
81 82 83 84 85 86 87 88 89 90
91 92 93 94 96 96 97 98 99 100
81.79 82.69 83.59 84.49 85.39 86.28 87.18 88.08 88.98 89.88
39.89 40.33 40.77 41.21 41.65 42. 08 42.62 42.96 43.40 43.84
81. 62 82.61 83.41 84.31 85.26 86.10 87.89 88.79 89.69
40.25 40.fi9 41.13 41.58 42.02 42.46 42.90 43.34 43.79 44.23
81. 44 82.33 83.23 84.12 85.02 85.91 86.81 87.70 88.60 89.49
40.80 41.05 41.60 41.94 42. 39 42.83 43.28 43.73 44.17 44.62
81.26 82.15 83. o.~ 83.94 84.83 85.73 86.62 87.61 89.40 89.36
40.90 41.41 41.86 42. 31 42.76 43. 21 43.ti6 44.11 44.56 45. 01
91 92 93 94 96 00 97 98 99 100
J
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
.;i
----
~7.00
I I
~8.91
4~.22
66.97
61 62 53 64 55
iii> 57 58 59 80
84 65 66 67 68 69 70
- - --- --- - - - - - --- --- - - - --- - Q
64°.
I
I
63~0.
II 61
6372°.
I
63~0.
.!I Q
TABLE 4.-TRAVERSE TABLE. t1
i~
Lat.
- -- - - -
I
Zl~·.
Zlo.
0.89 1. 77 2.66 3.65 4.44 5.32 6.21 7.10 7.98 8.87
0.46 0.92 1.39 1.85 2.31 2.77 3.23 3.69 4.16 4.62
0.88 1. 77 2. ()5 3.54 4.42 5.31 6.19 7.08 7.96 8.85
0.47 0.93 1. 40 1. 86 2.33 2.79 3.26 3.72 4.19 4.66
1 2 3 4 5 6 7 8 9 10
9.76 10.64 !I. 53 12.42 13.31 14.19 15.08 15.97 16.85 17.74
5.08 5.54 6.00 6.46 6.93 7.39 7.85 8.31 8.77 9.23
9.73 10.62 11.50 12.39 14.16 15.04 15.93 HI. 81 17.70
5.12 5.59 6.05 6.62 6.98 7.45 7.92 8.38 8.85 9.31
11 12 13 14 15 16 17 18 19 20
9.62 10.07 10.53 10.99 11.45 11.90 12.36 12.82 13.28 13.74
18.63 19.61 20.40 21. 29 22.18 23.06 23.95 24.84 25.72 26.61
9.70 10.16 10.62 11. 08 11.54 12.01 12.47 12.93 13.39 13.85
18.68 19.47 20.35 21. 24 22.12 23.01 23.89 24.78 25.66 26.65
9.78 10.24 10.71 11.17 11.64 12.11 12.67 13.04 13.50 13.97
21 22 23 24 25 26 28 29 30
14.19 14.65 15.11 15.57 10.03 16.48 16.94 17.40 17.86
Zl.50
Zl.43
30.16 31.05 31.93 32.82 33.71 34.59 35.48
14.31 14.78 15.24 15.70 H;.lo 16.62 17.08 17.55 18. OJ 18.47
28.32 29.20 30.09 30.97 31. 86 32.74 33.63 34.51 35.40
14.43 14.90 15.37 15.8.1 16.30 16.76 17.23 17.69 18.16 18.62
31 32 33 34 35 36 37 38 39 40
36.37 37.25 38.14 39.03 39.92 40.80 41. 69 42.68 43.46 44.35
18.93 19.39 19.86 20.32 20.78 21.24 21.70 22.16 22.63 23.09
36.28 37.17 38.05 38.94 39.82 40.71 41.59 42.48 43.86 44.25
19.09 19.66 20.02 20.49 20.95 21.42 21.88 22.35 22.82 23.28
41 42 43 44 45 46 47 48 49 50
0.46 , 0.92 : 1.37 I 1.83 1 2.29 ; 2.75, 3.21 I 3.66 : 4.12 ' 4.68 '
10
0.89 1. 78 2.67 3.56 4.46 6.35 6.24 7.13 8.02 8.91
0.45 0.91 1.36 1.82 2.27 2.72 3.18 3.63 4.09 4.54
0.89 1.78 2.67 3.56 4.45 5.33 6.22 7.11 8.00 8.89
11 12 13 14 16 16 17 18 19 20
9.80 10.69 11.68 12.47 13.37 14.2!l 15.15 16.04 16.93 17.82
4.99 5.4'; 5.90 6. at; 6.81 7.26 7.72 8.17 8.63 9.08
9.78 10.67 11.56 12.45 13.34 14.22 15.11 16.00 10.89 17.78
6.04 5.49 5.95 6. 41 tl.87 7.33 7.78 8.24 8.70 9.16
21 22 23 24 25
18.71 19.60 20.49 21.38 22.28 23.17 24.06 24.95 25.84
9.53 9.99 10.44 10.90 11.35 11.80 12.26 12.71 13.17 13.62
18.67 19.56 20.45 21.34 22.23 23.11 24.00 24.89 25.78 26.67
Zl.62
Zl.56
28 29 30
26.73
31 32 33 34 36 36 37 38 89 40
28.51 29.40 30.29 31.19 32.08 32.97 33.86 34.75 35.64
14.07 14.53 14.98 15.44 15.89 16.34 16.80 17.25 17.71 18.16
41 42 43 44 45 46 47 48 49 50
36.53 37.42 38.31 89.20 40.10 40.99 41.88 42.77 43.66 44.55
18.61 19.07 19.52 19.98 20.43 20.88 21.34 21.79 22.25 22.70
36.45 37.34 38.23 39.12 40.01 40.89 41.78 42.67 43.56 44.45
18.31 18.77 19.23 19.69 20.15 20.60 21.06 21.52 21.98 22.44 22.89
Lat.
Dep.
Lat.
-- --
Ij
I
28.45 29.34 30.23 31.12 32.00 32.89 33.78 34.67 35.56
I
I I
28.38
29.Zl
I
13. Zl
Zl
- - - - - - - - - - - --- --- - - - - -
Dep.
iA 1 _ - ___
t1
i
"~ Dep. Dep. Lat. Dep. Lat. Dep. Lat. - - --- --- ------ --- ---- -
I 2 3 4 5 6 7 8 9
26 Zl
27'4 0.
Zl~o.
68 0•
Dep.
Lat.
62~0.
6:114··
62
Dep.
Lat.
62~0.
J
..!I
A
TABLE 4.-TBAVEBSE TABLE.
, t:1
Zlo.
10
~
~
I Dep.
Lat.
------
ZlJ;;i;°.
I~
~IDep.
Dep.
28.17 ; 28. 63 1 29.09 29.M 30.01 30.48 30.94 31. 40 31.86 32.32
53.98 54.87 55.75 56.04 57.52 58.41 59.29 60.18 61.06 61.95
28.40 28.87 29.33 29. SO 30.26 30.73 31.20 31.66 32.13 32.59
61 62 63 64 65 66 67 68 69 70
62.98 63.86 64.75 65.64 66.63 67.41 68.30 69.19 70.07 70.96
32.78 33.25 33.71 34.17 34.63 35.09 35.M 36.02 36.48 36.94
62.83 63.72 64.60 65.49 66.61 67.26 68.14 69.03 69.91 70. SO
33.06 33.52 33.99 34.46 34.92 35.39 35.85 36.32 36.78 37.25
71 72 73 74 75 76 77 78 79 SO
37.09 37.M 38.00 38.46 38.92 39.38 39.84 40.29 40.75 41.21
71.85 72.73 73.62 74.51 75.40 76.28 77.17 78.06 78.94 79.83
37.40 61.86 38.33 38 .. 79 39.25 39.71 40.17 40.63 41.10 41. 56 ,
71. 68 72.67 73.45 74.34 75.22 76.11 76.99 77.88 78.76 79.65
61.71 38.18 38.65 39.11 39.58 40.04 40.51 40.97 41.44 41. 91
81 82 83 84 85 86 87 88 89 90
41. 67 42.12 42.58 43.04 48.60 43.96 44.41 44.87 45.33 45.79
SO. 72 81. 60
42.02 42.48 42.94 48.40 43.87 44.33 44.79 45.25 45.71 46.17
SO. 63 81.42 82.30 83.19 84.07 84.96 85.84 86.73 87.61 88.60
42.61 42.84 43.30 43.77 44.23 44.70 45.16 45.63 46.10
91 92 93 94 96 96 '¥l 93 99 100
45.34 46.23 47.12 48.01 48.90 49.78 60.07 51.56 52.45 53.34
23.35 23.81 24.Zl 24.73 25.18
61 62 63 64 65 66 67 68 09 70
M.35 55.24 56.13 57.02 57.92 58.81 59.70 60.59 01. 48 62.37
Zl.69 28.15 28.60 29.06 29.51 29.96 30.42 30.87 31. 33 31. 78
71 72 73 74 75 76 77 78 79 SO
63.26 64.15 65.04 65.93 66.83 67.72 68.61 69.50 70.39 71. 28
81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
I
25.64
26.10 26.56 Zl.OI Zl.47
45.24 46.12 47.01 47.90 48.79 49.07 50.56 51. 45 52.33 53.22
23.55 24.01 24.47 24.93 25.40 25.86 26.32 26.78 Zl.24 Zl.70
64.23 M.12 56.01 56.90 57.79 58.68 69.56 60.45 61.34 62.23
Zl.93 28.39 28.85 29.30 29.76 30.22 30.68 31.14 31.59 32.05
54.11 54.99 55.88 56.77 57.66 58.54 59.43 60.32 61.20 62.09
32.23 32.69 33.14 33.60 34.05 34.50 34.96 35.41 35.87 36.32
63.12 64.01 64.90 65.79 66.68 67.57 68.45 69.34 70.23 71.12
32.51 32.97 33.42 33.88 34.34 34. SO 35.26 35.71 36.17 36.63
72.17 73.06 73.95 74.84 75.74 76.63 77.52 78.41 79.30 SO. 19
36.77 61.23 61.68 38.14 38.59 39.04 39.60 39.95 40.41 40.86
72.01 72.90 73.79 74.68 75.57 76.46 77.34 78.23 79.12 SO. 01
81.08 81. 97 82.86 83.75 84.65 85.54 86.43 87.32 88.21 89.10
41.31 41. 77 42.22 42.68 48.13 43.58 44.04 44.49 44.95 45.40
SO. 90 81.79 82.68 83.67 84.46 85.35 86.23 87.12 88.01 88.90
-----63·.
J 61 52 53 M M 56 57 58 59 60
23.15 23.61 24.06 24.52 24.97 25.42 ·25.88 26.33 26.79 Zl.24
Dep.
10
23.75 24.21 24.68 25.14 25.61 26.07 26.M Zl.Ol Zl.47 Zl.94
45.44 46.33 47.22 48.11 49.01 49.90 60.79 51. 68 52.57 53.46
Dep·l-;::-
Lat. Dep. --1-
t:1
45.13 46.02 46.90 47.79 48.67 49.56 50.44 51.33 52.21 53.10
51 52 53 54 M 56 57 58 59 00
--
273Ao.
ZlJ1°.
82.~9
83.38 84.27 85.15 86.04 86.93 87.81 88.70
1
46.66
------ - - - - -l Dep.
Lat.
Lat.
~o.
~o.
63
Dep.
Lat.
62J;;i;°.
J
TABLE f.-TIU. ValISE TABLE. t::!
i
28 0•
I
II
28~0.
I
28~0.
I
28"-4 0•
t::!
IE
~ Lat. Dep. I Lat. Dep. il Lat. Dep. Lat. Dep. - - ------ - - - - - - I - - - - - - - - - - - 1 2 3 4 5 6 7 8 9 10
0.88 1.77 2.65 3.53 4.41 5.30 6.18 7.06 7.95 8.83
11 12 13 14 15 16 17 18 19 20
9.71 10.60 11.48 12.36 13.24 14.13 15.01 15.89 16.78 17.66
21
0.47 I 0.94 , l.41 1 1.88 2.35 2.82 3.29 ' 3.76, 4.23 , 4.69 :
0.47 . 0.95 ; 1.42: 1.89 2.37 2.84 3.31 3.79 4.26 4.73
0.88 1.76 2.64 3.52 4.40 5.29 6.17 7.05 7.93 8.81
0.88 1. 76 2.64 3.52 4.39 5.27 6.15 7.03 7.91 8.79
J
0.48 0.95 1.43 1.91 2.39 2.86 3.34 3.82 4.29 4.77
0.88 1. 75 2.63 3.51 4.38 5.26 6.14 7.01 7.89 8.77
0.48 0.00 1.44 1.92 2.40 2.89 3.37 3.85 4.33 4.81
1 2 3 f 5 6 7 8 9 10
5.25 5.73 6.68 7.16 7.63 8.11 8.59 9.07 9.64
9.64 10.52 11.40 12.27 13.15 14.03 14.90 15.78 16.66 17.53
5.29 5.77 6.25 6.73 7.21 7.70 8.18 8.66 9.14 9.62
11 12 13 14 15 16 17 18 19 20
23 24 25 26 27
5.21 5.68 6.15 6.63 7.10 7.57 8.05 8.52 8.99 9.47
9.67 10.55 11.42 12.30 13.18 14.06 14.94 15.8"l 16.70 17.68
18.64 19.42 20.31 21.19 22.07 22.00 23.84 24.72 25.61 26.49
7.98 , 8.45 8.92 ' 9.39 i I 9.86 10.33 ; 10.80 I 11.27 11.74 i 12.21 ' 12.68 13.15 13.61 14.08
9.00 10.57 11.45 12.33 13.21 14.09 14.98 15.86 16.74 17.62 18.50 19.38 20.26 21.14 Z2.02 22.90 23.78 24.66 25.55 26.43
9.94 10.41 10.89 11.36 11.83 12.31 12.78 13.25 13.73 14.20
18.40 19.33 20.21 21.09 21.97 22.85 23.73 24.61 25.49 26.36
10.02 10.50 10.97 11. 45 11.93 12.41 12.88 13.36 13.84 14.31
18.41 19.29 20.16 21.04 21.92 22.79 23.67 24.55 25.43 26.30
10.10 10.58 11.06 11.64 12.02 12.51 12.99 13. 47 13.95 14.43
31 32 33 34 35 36 37 38
39 40
27.37 28.25 29.14 30.02 30.90 31. 79 32.67 33.55 34.43 35.32
14.55 15.02 15.49 15.00 16.43 16.90 17.37 17.114 18.31 18.78
27.31 28.19 29.07 29.95 30.83 31. 71 3'l.59 33.47 34.35 35.24
27.24 14.67 28.12 15.16 29.00 15.62 29.88 16.09 30.76 16.57 31.64 04 17.51 17. 1 32.62 33.40 17.99 18.40 34.27 35.15 18.93
14. 79 15.27 15.75 16.22 16.70 17.111 17.65 18.13 18.61 19.09
27.18 28.06 28.93 29.81 30.69 31.56 32.44 33.32 34.19 35.07
14.91 15.39 15.117 16.35 16.83 17.32 17.80 18.28 18.76 19.24
31 32 33 34 35 36 37 38 39
41 42 43 44 46 46 47 48 49 50
36.20 37.08 37.97 38.85 39.73 40.62 41.50 42.38 43.26 f4.15
19.25 19.72 20.19 20.66 21.13 21.60
36.12 37.00 37.88 38.76 ' 39.64 40.52 41. 40 42.28 43.16 f4.04
35.95 36.82 1 37.70 2O.W 1 38.58 21. 47 i 39.4.5 21.95 I 40.33 41.21 22.43 42.08 22.90 42.00 23.38 43.84 23.86
19.72 20.20 20.68 21.16 21. 64 22.13 22.61 23.00 23.57 24.05
41 42 43 44 46 40 47 48 49 50
8
Dep.
22 23 24 25 26 27 28 29
aJ
j
A
5.W 5.63 6.10 6.57
~:gt
22.07 22.53 23.00 23.47
i,
36.03 36.91 37.79 38.67 39.55 40.43 41.30 42.18 43.06 43.94
19.41 19.88 20.35 20.83 21.30 21.77 22.25 22.72 23.19 23.67
6.:lO
19.56 20.04 20.52
21
22
28 29
aJ
40
1 - - - - - - - - - - - -1 Lat. 6:l0•
...
Lo<.
61~0.
~....
.I
Lo<
61~0.
Dep.
Lat.
61~0.
i A
?ABLB
f.-" •• VlISE
28~·.
~'.
28°.
TABU.
La,. Dep. La,. Dep. Lat. Dep. Lat. Dep. --1- ----1- ----------
26.29 26.76 27.23 27.70 28.17
44.93 45.81 46.69 47.57 48.45 411.33 50.21 51.00 51.97 53.85
24.14 24.61 25.00 25.56 28.03 26.51 26.98 27.45
28.64
53.73
51 52 53 M 55 56 57 58 59 60
45.03 45.91 46.80 47.68 48.56 49.45 50.33 51.21 53.00 53.98
23.94 24.41 24.88 25.35
61 82 63
53.86
64 65
66 fI7
~
69 70 71 72 'n 74 75 76
77 78 79 80 81 82
83 84
85 86 87 88 83 90
VI 92
54.74 55.63 56.51 57.39
58.27
5Q.16 60.04 60.92 61.81 Q.69 63.57
64.46 65.34 66.22
67.10 67.99 68.87 69.75
70.64 71.52 72.40 73.28 74.17 75.05
30.99 31.45 31.92 32.39
32.86
54.62 55,50 56. 38 57.26 58.14 5Q.02 5Q.90 60.78 61.66
33.33 33.80 34.27 34.74 35.21 35.68 36.15 36.62 37.00 37.56
62.M
36.03
71.35 72.23 73.11
38.50 38.97
63.42 64.31 65.19 66.07 66.95
67.83
68.71 69.59 70.47
28.87 29.35 29.82 30.29 30.77 31.24 31. 71 32.19 32.66 33.13
53.61 54.49 55.37 56.24 57.12 58.00 58.88 511.76 60.64 61.52
29.11
53.48 M.36 55.23 56.11
2Q.34 29.82 30.30 30.78 31.26 31. 75 32.23 32.71 33.19 33.67
61 62 63 64 65 66 67 68 69 70
33. 61
63.40 63.27 64.15 65.03 65.91 66.79 67.67 68.55
34.15 34.63 35.11 35.59 36.07 36.56 37.04 37.52
71 72 73 74
34.08 34.55 35.03 35.50 35.97 36.45 36.92 37.39 37.87 36.34 38.81 39.29 39.76 40.23 40.71 41.18 41.60 42.13
76.82 77.70 78.58 79.47 8D.35 81.23
43.19
43.72
80.16 81.04 81.92 82.80
43.07
84.57 85.45 86.33 81.21 88.00
45.44
75.113
94 95 116
83.88
1~
29.58 30.05 30.52
28.86
57 58 59 60
27.113
73.99
82.11
G7
29.11
44.71 45.59 46.47 47.34 48.22 49.10 49.97 50.85 51. 73 52.60
2'-53 25.01 25.49 25.97 26.45 26.94 27.42 27.90
28.40
24.34 24.81 25.29 25.77 26.24 26.72 27.20 27.68 28.15 28.63
39.44 39.91 40.37 40.84 41.31 41. 78 42.25
113
98
25.82
83.00
84.76 85.65 86.53 87.41
88.29
43.66 44.13 44.60 45.07 45.54 46.01 46.48 46.95
74.88 75.76 76.64 77.52 78.40 79.28
83.68
51 52 53 54 55
44.82 45.70 46.58 47.46 48.33 411.21 50.00 50.97 51.85 52.73
42.60
43.55 44.02 44.49 44.97 45.91 46.39
46.86 47.33
65
69.43
70.31 71.18 72.06 72.94
73.82
74.70 75.58 76.46 77.34 78.21 79.00
79.97 80.85 81.73 82.61 83.49 84.37 85.25 86.12 81.00
87.88
29.58 30.06
3O.M
31.02 31.49 31.97 32.45 32.92 33.40
56.99
33.88 34.36
63.25 63.12
34.83 35.31 35.79 36.26 36.74 37.22 37.70 38.17
38.65 39.13
39.60
40.08 40.56 41.04 41.51
41.99
42.47 42.94
43.42
57.86 58. 74 59.62 60.49 61.37
64.00 64.88 65.75 66.63 67.51 68.38 69.26 7D.14 71.01 71. 89 72.77 73.65 74.52
~U21
77.15 78.03 78. 91
43.90 44.38
79.78 80.66 81.54
44.85 45.33 45.81 46.28 46.76 47.24 47.72
84.17 85.04 85.92
82.41 83.29
86.80 81.67
28.38
38.00 38.48
38.116 39.44 39.92 40.40 40.88 41.37 41.85 42.3.3 42.81
43.29 43.77
44.25 44.73 45.21 45.89 46.17 46.66 47.14 47.62 48.10
56
75
76 77 78 79 80 81 82
83
84 85 86
87
88 89 90 91 92
113
94
!IS
116 97 98 99 100
TABLE •• -TRA. VERSE TABLE.
t::I
Iii
29 0.
29J4".
I
29~0.
I
~o.
t::I
Iii
~ Dep. I Lat. Dep. Dep. Lat. Dep. Lat. Lat. t !" - ---- --- --- --- --- --- - - - - --
J I 2 3 4 5 6 7 8 9 10
0.87 1. 75 2.62 3.50 4.37 5.25 6.12 7.00 7.87 8.75
11 12 13 14 15 16 17 18 19 20
9.62 10.50 11.37 12.24 13.12 13.99 14.87 15.74 16.62 17.49
21 22 23 24 25 26 27 28
18.37 19.24 20.12 20.99 21.87 22.74 23.61 24.49 25.36 26.24 27.11 27.99 28.86 29.74
29
30 31 32 33 34 35 36 37 38 39 40 41 42
30.61
31.49 32.36 33.24 34.11 34.98
43
36.73 I 35.86 37.61
44 45 46 47 48 49 50
38.48 39.36 40.23 41.11 41. 98 42.86 43.73
0.87 1. 74 2.62 3.49 4.36 5.23 6.11 6.98 7.85 8.72
0.49 0.98 1. 47 1. 95 2.44 2.93 3.42 3.91 4.40 4.89
0.87 1.74 2.61 3.48 4.35 5.22 6.09 6.96 7.83 8.70
0.49 0.98 1.48 1.97 2.46 2.95 3.45 3.94 4.43 4.92
0.87 1. 74 2.60 3.47 4.34 6.21 6.08 6.95 7.81 8.68
0.50 0.99 1. 49 1. 98. 2.48 2.98 3.47 3.97 4.47 4.96
1 2 3 4 5 6 7 8 9 10
5.33 9.60 5.82 I 10.47 11.34 6.30 12.21 6.79 13.09 7.27 13.96 7.76 14.83 8.24 15.70 8.73 16.58 9.21 9.70 17.45
5.37 5.86 6.35 6.84 7.33 7.82 8.31 8.80 9.28 9.77
9.57 10.44 11.31 12.18 13.06 13.93 14.80 15.67 16.54 17.41
5.42 5.91 6.40 6.89 7.39 7.88 8.37 8.86 9.36 9.85
9.55 10.42 11.29 12.15 13.02 13.89 14.76 15.63 16.50 17.36
5.46 5.95 6.45 6.95 7.44 7.94 8.44 8.93 9.43 9.92
11 12 13 14 15 16 17 18 19 20
10.18 10.67 11.15 11.64 12.12 12.61 13.09 13.57 14.06 14.54
18.32 19.19 20.07 20.94 21.81 22.68 23.56 25.30 26.17
10.26 10.75 11.24 11.73 12.22 12.70 13.19 13.68 14.17 14.66
18.28 19.15 20.02 20.89 21.76 22.63 23.50 24.37 25.24 26.11
10.34 10.83 11.33 11.82 12.31 12.80 13.30 13.79 14.28 14.77
18.23 19.10 19.97 20.84 21. 70 22.57 23.44 24.31 25.18 26.05
10.42 10.92 11.41 11.91 12.41 12.90 13.40' 13.89 14.39 14.89
21 22 23 24 25 26 27 28 29 30
15.03 15.51 16.00 16.48 16. 97 17.45 17.94 18.42 18.91 19.39
27.05 27.92 28.79 29.66 30.54 31.41 32.28 33.15 34.03 34.90
15.15 15.64 16.12 16.61 17.10 17.59 18.08 18.57 19.06 19.54
26.98 27.85 28.72 29.59 30.46 31.33 32.20 33.07 33.94 34.81
15.27 15.76 16.25 16.74 17.23 17.73 18.22 18.71 19.20 19.70
26.91 27.78 28.65 29.62 30.39 31.26 32.12 32.99 33.86 34.73
15.38 15.88 16.38 16.87 17.37 17.86 18.36 18.86 19.35 19.85
31 32 33 34 35 36 37 38 39 40
19.88 20.36 20.85 21.33 21.82 22.30 22.79 23.27 23.76 24.24
35.77 36.64 37.62 38.39 39.26 40.13 41.01 41.88 42.75 43.62
20.03 20.52 21.01 21. 50 21.99 22.48 22.97 23.45 23.94 24.43
35.68 36.55 37.43 38.30 39.17 40.04 40.91 41.78 42.65 43.52
20.19 20.68 21.17 21.67 22.16 22.65 23.14 23.64 24.13 24.62
35.60 36.46 37.33 38.20 39.07 39.94 40.81 41.67 42.54 43.41
20.34 20.84 21.34 21.83 22.33 22.83 23.32 23.82 24.31 24.81
41 42 43 44 45
0.48 0.97 1. 45 1.94 2.42 2.91 3.39 3.88 4.36 4.85
24.43
46
47 48 49 50
- - --- --- --- --- - - --- --- --- -8
I
Dep. 61°.
Lat.
Dep.
Dep.
Lat.
W",,".
I 66
Lat.
6O~ ••
Dep.
Lat.
6O~'.
i
I
TABLE 4.-TRAVJlJRSE. TABLR. 29,,°.
29°.
t:::I
~
29J.i°.
fA
J
Lat.
Dep.
Lat.
Dep.
51 52 53 04 55 66 57 08 59 60
44.61 45.48 46.35 47.23 48.10 48.98 49.85 SO. 73 51.60 52.48
24.73 25. 21 25.69 26.18 26.66 27.15 27.63 28.12 28.60 29.09
44.50 45.37 46.24 41.11 47.99 48.86 49.73 50.60 51.48 52.35
61
63.35 54.23 55.10 55.98 66.85 57.72 63.60 09.47 00.35 til. 22
29.57 30.06 80.04 31. 03 31.51 32.00 32.48 32.97 33.45 33.94
62.10 62. 97 63.85 64.72 65.60 66. 47 67.35 66.22 00-09 69.W
Lat.
Dep.
24.92 25.41 25.90 26. 39 26.87 27.36 27.85 28.34 28.83 29.32
44.39 45.26 46.13 47.00 47.87 48. 74 49.61 50.48 51.35 52. 22
25.11 25.61 26.10 26.59 27.08 21.58 28.07 28.56 29.05 29.55
63.22 04.09 04.97 55.84 56.71 57.58 63.46 09.33 60.20 til. 07
29.81 80.29 80.78 31. 27 31. 76 32.25 32.74 33.23 33.71 34.20
63.09 63.96 04.83 55.70 66.57 57.44 63. 31 511.18 60.05 ro.92
38.04 30.53 31.02 81.52 32.01 32.50 32.99 33.48 33.98 34.47
06.43
34.42 34.91 35.39 35.88 36.36 36.85 37.33 37.82 38.80 38.78
61. 95 62.82 63.69 64.56 65.44 66. 31 67.18 68.05 68.93 69.80
34.69 35.18 35.67 36.16 36.65 37.14 37.!i2 38.11 38.(0 39.09
61.80 62.67 63.54 64.41 65.28 fJ6.15 67.02 67.89 (;8.76 69.63
34.96 35.45 35.95 36.44 36.93 37.42 37.92 38.41 38.90 39.39
70.84 71.72 72.59 73.47 74.34 75.22 76.09 76. 97 77.84 78. 72
39.27 39.75 40.24 40.72 41. 21 41. 69 42.18 42.66 43.15 43. 63
70.67 71. 54 72.42 73.29 74.16 75.03 75.91 76.78 77.65 78. 52
39.08 40.07 40.56 41. 01 41.53 42.02 42.51 43.00 43.49 43.98
70.50 71. 37 72.24 73.11 73.98 74.85 75.72 76.59 77.46 78.33
79.59 80.47 81.34 82. 21 83.09 83.96 84.84 85.71 86.59 87.46
44.12 44.60 45.09 45.57 46.06 46.04 47.03 47.51 48.00 48.48
79.40 80.27 81.14 82.01 82.89 83.76 84.63 85. SO 86.38 87.25
44.46 44.95 45.44 45.93 46.42 46.91 47.40 47.88 48. a7 48.86
79.20 80.07 80.94 81. 81 82.68 83.55 84.42 85.29 86.17 87.04
Lat.
.. Dep.
t:::I
fA
g ~
- - --- --- - - - - - - - - - -1 - - - - - - - -
62 63 64 65 66 67 68 &9 70
n
72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92
93
1M 95 96 97
98
99 100
- - --- - - - - - - - -
i ~
Lat.
Dep. 61°.
Dep.
I
44.28 45.15' 46.01 46.88 47.75 48.62 49.49 50.36 51. 22 52.09
25.31 25.80 26.80 26.80 27.29 27.79 28.28 28.78 29.28 29.77
51 52 53 04 55 66 57 08 59 60
52.96 63.83 04.70 55.56
80.27 80.77 31. 26 31. 76 32.25 32. 75 33.75 33.14 34.24 34.74
61 62 63 64 65 66 67 88 69 70
61.64 62.51 63.38 64.25 65.11 65.98 00.85 67.72 68.59 69.46
35.23 35.73 ;16.22 36.72 37.22 37.71 38.21 38.70 39.70
71 72 73 74 75 76 77 78 79 80
39.89 40.38 40.87 41.36 41. 86 42.35 42.84 43.33 43.83 44.32
70.32 71.19 72.00 72.93 73.80 74.67 75.53 76.40 77. 27 78.14
40.19 40.69 41.19 41.(8 42.18 42. 67 43.17 43. 67 44.16 44.66
81 82 83 84 85 86 87 88 89 90
44.81 45.30 45.80 46.29 46.78 47.27 47.77 48.26 48.75 49.24
79.01 79.87 80.74 81. 61 82. 48 83.35 84.22 85.08 85.95 86.82
45.16 '45.65 46.15 46.64 47.14 47.64 48.13 48. 63 49.13 49.62
91 92 93 94 95 96 97 98 99 100
57.30 58.17 59.04 59.91 60.77
39.20
- - --- --- - - --
Lat.
Dep.
6QI,.40.
V,t.
1iOJ.i0.
67
Dep.
Lat.
1iO~ ••
e5
!
~
TABLB 4.-TRAVEB8E TABLB. t:::I
f 1 2 3 4 6 6 7 8 9 10
.. I I ------ - - - - - - - - - ---1--I
ao-,
LAt.
Dep.
SO~·.
Lat.
~
SO~·.
Lat.
Dep.
Dep.
LAt.
Dep.
, !2
0.87 1.73 2.60 3.46 4.33 6.20 6.06 6.93 7.79 8.66
0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00
0.86 1.73 2.59 3.46 4.32 6.18 6.05 6.91 7.77 8.64
0.50 1.01 1.51 2.02 2.52 :1.02 3.53 4.03 4".53 6.04
0.86 1.72 2.58 3.45 4.31 5.17 6.03 6.89 7.75 8.62
0.51 1.02 1.52 2.03 2.04 3.05 3.56 4.06 4.57 6.08
0.86 1.72 2.58 3.44 4.30 5.16 6.02 6.88 7.73 8.69
0.51 1.02 1.03 2.05 2.h6 3.07 3.58 4.09 4.60 5.11
1 2 3 4 5 6 7 8 9 10
9.03 10.39
12.12 12.99 13.86 14.72 15.59 16.46 17.32
6.50 6.00 6.60 7.00 7.50 8.00 8.50 9.00 V.50 10.00
9.50 10.37 11.23 12.09 12.96 13.82 11. e.g 15.56 16.41 17.28
5.54 6.05 6.56 7.05 7.56 8.00 8.56 9.07 V.67 10.08
9.48 10.M 11.20 12.06 12.92 13.79 14.65 15.51 16.37 17.23
5.58 6.09 6.60 7.11 7.61 8.12 8. eJ3 9.14 9.64 10.15
9.46 10.31 11.17 12.03 12.89 13.75 14.61 15.47 16.3.1 17.19
5.62 6.14 6.65 7.16 7.01 8.18 8.69 9.20 9.71 10. 23
11 12 13 14 15 16 17 18 19 20
18.19 19.05 19.92 20.78 21.65 22.52 23.38 24.25 25.11 25.911
10.50 11.00 n.50 12.00 12.50 13.00 13.50 14.00 14.50 15.00
18.14 19.00 19.87 20.73 21.110 22.46 23.32 24.19 25.05 25.92
10.68 11.08 11.59 12.09 12. 59 13.10 13.60 14. II 14.61 15.11
18.09 18.96 19.82 20.68 21.54 22.40 23.26 24.13 24.99 25.85
10.66 11.17 11.01 12.IR 12.69 13.20 13.70 14.21 14.72 15.23
18. O!i 18. 91 19.77 20.63 21.49 22.34 23.20 24.00 24.92 25.78
10.74 11.25 11.76 12.27 12.78 13.29 13.80 14.32 14.83 15.M
Iii. 50 16.00 16.50 17.00 17.50 18.00 IS-50 19.00 19.50 20.00
26.78 27.64 28.hl 29.37 30.23 31.10 31.96 32.&1
26.71 27.67 28.43 29.30 30.16 31.02 31.88 32.74 33.m M.47
15.73 16. 24 16.75 17.26 17.7" 18.27 18.78 19.29 19.79 20.30
15.85
M.56
15.62 16.12 16. 62 17.13 17.63 18.14 18.64 19.14 19.65 20.15
26.64
40
26.85 ZI.7I 28.68 29.44 30.31 31.18 32.04 !I2.91 3.1. 77 34.64
41 42 43 44 46 46 47 48 49 SO
36.61 36.37 37.24 38.11 38.97 39.84 40.70 4L57 42.44 43.30
20.50 21.00 21.50 22.00 22.50 23.00 23.50 24.00 24.50 25.00
36.42 36.28 37.14 38.01 38.87 39.74 40.60 41.46 42.3.1 43.19
20.65 2l.lfi 21.r.6 22.17 22.67 23.17 23. f>8 24.IR 24.(;8 25.19
3.5.33 af>.19 37.05 37.91 38.77 39.63 40.60 41.3(; 42.22 43.08
20. 81 21.32 21.82 22.33 22.84 23.35 23.85 2-1.36 24.87 25.38
11 12 1:1 14 15 16 17 18 19
20 21
22 23 24
25 26 27 28
29 SO 31
32 33 34
as
36
37 38 39
1-
i ~
11.26
33.69
27.50
28.36
29.22 30.08 30.94 31.80
32.00 33.52 M.38 36.24 36.10
ar.05
37.81 38.67 39.53 40.39 41.2,5 42.11 42.97
16.36
21 22
23 24
25 26 27 28 29 30
31
32
16.87 17.38 17.00 18.H 18.92 19.43 19.94 20.46
33 M 36 36 37 38 39 40
20.96
41 42 43
21.47 21.99 22.50 23.01 23.52 24.03 24.54 25.05 25.66
44
46 46 47 48 49 50
--- - - - - - - - - - - - - - - - ------ - Dep.
Lat.
Dep.
Dep.
Lat.
Lat.
Dep.
Lat.
8
CI
00·.
S93A1.,
S9)-t0,
68
5~O.
~
~
. t:::I
Ii"
f
'l'
Lat•.
aGW.
SO~·.
30·.
Lat.
Dep.
Lat,
Dep.
])ep.
- - - - - --- - - - - - - - - -
28.72 29.22 29.72 30.23
26.08 26. 59 27.10 27.61 28.12 28.03 29.14 29.85 30.17 30.68
51 '62 53 M 55 56 67 68 69 80
62.69 63.66 54.42 55.29 56. 15 67.01 67.88 58.74 09.60 60.47
30.73 31.23 31.74 32. 24 32.75 33.25 33.75 34.26 34.76 35.26
62.56 63.42 M.28 55.14 66,01 56.87 67.73 58.59 09.45 60.31
30,96 31.47 31.97 32.48 32.99 33.00 34.01 34.61 35.02 35,53
62.42 63.28 54.14 55.00 55.86 56.72 57.58 68.44 59.30 60.16
31.19 31. 70 32.21 32.72 33.23 33.75 34.26 34.77 35.28 3,;.79
61 62 64 65 66 67 68 &9 70
61.83
:~
69.11
35.77 36.27 36.78 37.28 37.78 38.29 38.79 39.29 39.80 40.30
36.04 36.64 37.05 37.66 38.07 38.57 39. OR 39.59 40.10 40.60
61.02 61.88 62.74 63.60 64.46 65.31 66.17 67.03 67.89 68.75
36.30 36.81 37.32 37.84 38.35 38.86 39.37 39.88 40.39 40.90
71 72 73 74 75 76 77 78 79 80
6'.97 70.83 71. 70 72.66 73.43 74.29 75.15 76.02 76.88 77.75
40.81 41.31 41.81 42.32 42.82 43.32 43.83 44.33 44.84 45.34
69.79 70.65 71.S2 72.38 73.24 74.10 76.68 77.55
41.n 41.62 42.13 42.63 43. i4 43. 65 44.16 44.66 45.17 45.68
69.61 70.47 71.33 72.19 73.05 73.91 74.77 75.63 76.49 77.35
41.41 41.93 42.44 42.95 43.46 43.97 44.48 44.99 45.51 46.02
81 82 83 84 85 86 87 88 89 90
78.61 79.47 80.34 81.20 82.06 82.93 83.79 84.66 85.52 86.38
45.84 46.35 46.85 47.3.'; 47.86 48.36 48.87 49.37 49.87 00.38
V8.41 79.27 80.13 80.99 81.85 82.72 83.58 84.44 85.30 86.16
46.19 46.69 47.20 47.71 48.22 48.72 49.23 49.74 00.25 ,ro.75
78.21 79.07 79.92 80.78 81. 64 82.60 83.36 84.22 85.08 85.94
48.63 47.04 47.55 48.06 48. 57 49.08 49.60 ,ro. II 00.r.2 51.13
91 92 93 94 95 96 97 98 99 100
44.06 44.92 45. 78 46.65 47.51 48.37 49.24 00.10 00.97 61.83
23.69 26.20 26.70
61 62 83 64 86 66 67 68 69 70
62.83 53.69 M.56 55.43 56.29 57.16 68.02 58.89 59.76 60.62
30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.,ro 35,00
71 72 73 74 75 76 77 78 711 80
61. 49 62.35 63.22 64.09 64.95 65.82 66.68 67.55 68.42 69.28
35.60 36.00 36.,ro 37.00 37.60 38.00 38.60 39.00 39.00 40.00
81 82 83 84 85 36 87 88 89 90
70.15 71.01 71.88 72.75 73.61 74.48 75.34 76.21 77.08 77.94
40.60 41.00 41.00 42.00 42.60 43.00 43.00 44.00 44.00 46.00
91 92 93 94 95 96 97
78.81 79.67 80.64 81.41 82.27 83.14 84.00 84.87 85.74 86.60
45. /iO 46.00 46.,ro 47.00 47.00 48.00 48.00 49.00 49.,ro 00.00
62.'JJJ 63.06 63.92 64.79 65.65 66.62 67.38 68. 24
27.'JJJ 27.71
28. 21
~:*:~
:93
74.96 15.82
I
- - - - - - - - ------ - - - - -
l
!i ~
Lat.
Dep.
Lat.
Dep.
I
69
~ 09~'.
Lat. !Dep .
59~·.
693,4·.
60'.
f
-_.
43.83 44.69 45. 55 46. 41 47.27 48.13 48.99 49.85 00.70 61.66
26.50 26.00 26.50 27.00 27.50 28.00 28.00 29.00 29.00 30.00
Dep.
Dell·
Ii"
25.88 )16,39 26.90 27.41 27.91 28.42 28.93 29.44 \l9,94 30.45
44.17 45. 03 45.90 46. 77 47.63 48.00 49.36 00.23 51.10 61.96
98
Lat.
--.-.-
..
t:::I
1
43. 94 44.80 45.67 46.53 47.39 48.25 49.11 49.97 00.84 61.70
51 62 53 M 55 56 57 68 69 80
.99 100
~'.
I
63
--
I
TABLE f.-TaAVBUE TABLE. \j
310.
Ii"
J
Lat.
31~0.
31~0.
Lat.
Dep.
Dep.
Lat.
.. \j
31W.
Dep.
Lat.
Dep.
f
- - - - --- --- --- --- --- - - - - - - - I 2 3 4 5 6 7 8 9 10
0.86 1.7l. 2.57 3.43 4.29 6.14 6.00 6.86 7.71 8.57
0.52 1.00 1.55 2.06 2.58 3.09 3.61 4.12 4.64 5.15
0.85 1.71 2.56 3.42 4.27 5.13 5.98 6.84 7.69 8.55
0.52 1.04 1.56 2.08 2.59 3.11 3.63 4.15 4.67 5.19
11 12 13 14 15 16 17 18 19 20
9.43 ' 10.29 11.14 12.00 12.86 13.71. 14.57 15.43 16.29 17.14
5.67 6.18 6.70 7.21 7.73 8.24 8.76 9.27 9.79 10.30
9.40 10.26 11.11 11.97 12.82 13.68 14.63 15.39 16.24 17.10
5.71 6.23 6.74' 7.26 7.78 8.30 8.82 9.34 9.86 10.38
21 22 23 24 25 26 27 28 29 30
18.00 18.116 19.71 20.57 21. 43 22.29 23.14 24.00 24.86 25.72
10.82 11.33 11.85 12.36 12.88 13.39 13.91 14.42 14.94' 15.45
17.95 18.81' 19.{i6 20.52 21.37 22.23 23.08 23.94 24.79 25.65
31 32 33 34 35 36 37 38 39 40
20.57 27.43 28.29 29.14 30.00 30.86 31.72 32.57 33.43 31.29
15.97 16.48 17.00 17.51 18.m
41 42 43 H 45 46 47 48 49 60
35.14 36.00 36.86 37.72 38.57 39.43 40.29 41.14 42.00' 42.86
1~.54
19.06 19.57 20.09 20.00 21.12 21.63 22.15 22.66 23.1R 23.09 2~.21
24.72 25.24 25.75
0.63 . 1.05 1.58 2.10 2.63 3.16 4.21 4.74 5.26
1 2 3 4 5 6 7 8 9 10
9.35 10.20 11.05 11.00 12.76 13.61 14.46 15.31 16.16 17.01
0.79 6.31 6.84 7.lr1 7.89 8.42 8.95 9.47 10.00 10.52
11 12 13 14 15 16 17 18 19 20
10:97 11.49 12.02 12.54 13.06 13.58 14.11 14.63 15.15 15.67
17.86 18.71 19.56 20.41 21. 26 22.11 22.96 23.81 24.66 25.51
11.05 I1.1i8 12.10 12.63 13.16 . 13.68 14.21 14.73 15.26 15.79
21 22 23 24 25 26 27 28 29 30
26.43 27.28 28.14 28.99 29.84 30.70 31.55 32.40 33.25 34.11
16.20 16.72 17.24 17.76 18.29 18.81 19.33 19.85 20.38 20.00
26.36 27.21 28.06 28.91 29.76 30.61 31.46 32.31 33.16 34.01
16.31 16.8·\ 17.37 17.89 18.42 18. 9~ 19.47 20.00 20.52 21.05
31 32 33 34 35 36 37 38 39 40
34.96 35.81 36.00 37.52 38.37 39.22 40.07 40.93 41.78 42.63
21.42 21.94 22.47 22.99 23.51 24.03 24.56 25.08 25.60 26.12
.~.86
35.71 36.57 37.42 38.27 39.12 39.97\ 40.82 41. ()7 42.52
21.m
41 42 43 44 45 46 47 48 49 60
0.85 1. 71 . 2.56 3.41 4.26 5.12 5.97 6.82 7.67 8.63
0.52 1.04 1.57 2.09 2.61 3.13 3.66 4.18 4.70 5.22
0.85 1. 70 2.55 3.40 4.25 5.10 5.95 6.80 7.65 8.60
9.38 10.23 11.08 11.94 12.79 13.64 14.49 15.35 16.20 17.05
6.75 6.27 6.79 7.31 7.84 8.36 8.88 9.40 9.93 10.45
10.89 11.41 11.93 12.45 12.97 13;49 14;01 14.63· 15.04 15.56
17.91 18.76 19.61 20.46 21.32 22.17 23.02 23.87 ' 24.73 25.58
26.60 27.36 28.21 29.07 29.92 30.78 31. 63 32.49 3.~. 34 34.20
16.08 16.00 17.12 17.64 18.16 18.68 19.19 19.71 20.23 20.75
35.05 35.91 36.76 37.()2: 38.47 39.33 40.18 41.04 41.89 42.75
21 27 21. 79 22.31 . 22.83 23.34 23.8f> 24.38 24.00 25.42 25.94
3.fiS
22.10 22.63 23.15 23.68 24.21 21.73 25.26 25.78 26.31
- - --- --- --- - - - - --- ------ -ti
'"
~
Dep.
Lat.
Dep. 00 0.
I
Dep.
Lat.
#58Uo°.
I 70
Lat.
58~o.
Dep.
I Lat. ~E'"
58~o.
i:S
TABLE f.-TIU. vaUE TABLE. l;j
I
31°.
f -----Lat.
Dep.
51 52 53 54 65 66 57 68 59 60
43.72 «.57 .s.fa 46.29 47.14 48.00 48.86 49..72 50.57 51. ...1
26.27 26. 78 27.30 27.81 28.33 28.84 . 29.36 29.87 <10.39 30.90
61 62 63 64 65 66
31.42 31.93 32. .s
67 68 69 70
52.29 53.14 54.00 54.86 55.72 66.57 57. fa 58.29 59.14 60.00
Tl 72 73 74 75 76 77 78 79 80
Lat.
I
Dep.
Lat.
I
Dep.
------ ------
31",·.
Lat. Dep. --I---
l;j
rr
~
Ii
43.00 44 . .s 31 46.17 47.02 47.88 48. 73 49..68 50. 44 51.29
26.46 26.98 27.49 28.01 28.53 29.05 29.57 30.09 30.61 31.13
fa. 48 44. a. .s.19 46.04 46.90 47.75 48.00 49.45 50. 31 51.16
26.65 27.17 27.69 28.21 28.74 29.26 29.78 30.30 30.83 31.35
43.37 «.22 .s.07 .s.92 46. 77 47.62 48.47 49.32 SO. 17 51.02
26.84 27.36 27.89 28.42 28.94 29.47 29.99 30.52 31.05 31.57
51 52 53 54 55 66 57 68 59 60
35.02 35.64 36.05
6115 53.00 53.86 54.71 55.57 56.42 57,28 58.13 58.99 59.84
31.65 32.16 32.68 33.20 33.72 34.24 34. 76 35.28 35.80 36.31
52.01 62.86 53.72 54.57 55.42 56.27 57.13 57.98 58.83 69.68
31.87 32.39 32.92 33.44 33.96 a.. 48 35.01 35.53 36.05 36.57
51.87 52.72 53.57 54.42 55.27 66.12 56.98 57.82 58.67 59.52
32.10 32.63 33.15 33.68 a.. 20 a.. 73 35.26 35.78 36.31 36.83
61 62 63 114 65 66 67 68 69 70
00.86 61.72 62.57 63.43 114.29 65.14 66. (X) 66.86 67.72 68.57
36.67 37.08 37.60 38.11 38.63 39.14 39.66 40.17 40.69 41. 20
00.70 61.55 62.41 63.26 114.12 114.97 65.83 66.68 67.54 68.39
36.83 37.35 37.87 38.39 38.91 39.43 39.95 40.46 40.98 41. SO
60.64 61..39 6124 63.10 63.95
M.SO
65.65 66.51 67.36 6R.21
37.10 37.62 38.14 38.66 39.19 39.71 40.23 40.75 41.28 41.80
00.38 61.23 62.08 62.93 63. 78 114.63 6S.48 66.33 67.18 68.03
37.36 37.89 38.41 38.94 39.47 39.99 40.52 41.04 41.57 42.10
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 80
89. fa 70.29 71.14 72.00 . 72.86 73.72 74.57 75. fa 76.29 17.15
41.72 42.23 42.75 fa. 26 43.78 «.29 44.81 .s.32 45.84 46.35
69.25 10.10 70.96 71.81 72.67 73.52 74.38 75.23 76.09 76.94
42.02 42.54 fa. 06 fa. 58 44.10 44.61 .s.13 .s.65 46.17 46.69
69.06 69.92 70.77 71.62 72.47 73.33 74.18 75.03 75.88 76. 74
42.32 42.84 43.37 43.89 44.41 44.93 .s.46 .s.98 .s.SO 47.02
68.88 69.73 70.58 71.43 72.28 73.13 73.98 74.83 75.68 76.53
42.62 fa. 15 43.68 44.20 44.73 45.25 .s.78 46.31 46.83 47.36
81 82 83 84 85 '86 87 88 89 90
91 92 93 94 95
78.00 78.86 79.72 SO. 57 81.43 82.29 83.15 84.00 84.86 85.12
46.87 47.38 47.90 48.41 48.93 49.44 49.96 SO. 47 50.99 51.50
77. SO 78. 65 79.51 SO. 36 81.22 82.07 82.93 83.78 84.114 85.49
47.21 47.73 48.25 48.76 49.28 49. SO SO. 32 SO. 84 51.36 51.88
77.59 78.44 79.30 SO. 15 81.00 81.85 82.71 83.66 84.41 85.26
47.55 48.07 48.59 49.11 49.114 SO. 16 SO. 68 51.20 51.73 52.25
77.38 78.23 79.08 79.93 SO. 78 81.63 82.48 83.33 84.18 85.04
47.89 48.41 48.94 49.47 49.99 SO. 52 51.04 51.67 52.10 52.62
96 97
98 IKl
100
--
.
31)i".
31W·
t! J:I
J!! .!2 ~
32.96
33.48 33.99
a.. 61
.s~
91 92 93 94 95 96 97· 98
I
99 100
--- - - - --- - - - - - - - - - ------ - Dep. 59°.
Lat.
Dep.
Dep.
Lat.
Lat.
58~o.
68~o.
71
Dep.
Lat.
58)4;°.
!lC
.
:ii
~
,
TABLE 4.-TR.l fBasE TABLE.
'='
I
32°.
10
iO
~
I
--I Lat.
Dep.
32~·.
Let.
32~·.
Let.
Dep.
~.
Dep.
Lat.
Dep.
------ ------ ------ -
f
10
0.85 1.70 2.54 3.39 4.24 5.09 5. 94 6.78 7.63 8. 48
0.63 1.06 1.59 2.12 2.65 3.18 3.71 4.24 4.77 5.30
0.85 1.69 2.64 3.38 4.23 6.07 5.92 6.77 7.61 8.46
0.63 1.07 1.00 2.13 2.67 3.20 3.74 4.27 4.8> 6.34
0.84 1.69 2.63 3.37 4.22 6.06 5.110 6. 75 7.59 8.43
0.64 1.07 1.61 2.1S 2.69 3.22 3. 76 4.30 4.84 5.37
0.14 1.08 2.62 3.36 4.21 6.05 5.89 6.73 7.57 8.41
0.64 1.08 1.62 2.16 2.70 3.26 3.79 4.33 4.87 6.41
11 12 13 14 15 16 17 18 19 20
9.33 10.18 11.02 11.87 12. 72 13.57 14.42 15. 26 16.ll 16.96
5.83 6.36 6.89 7.42 7.95 8.48 9.01 9.54 10.07 10.00
9.30 10.15 10.99 11.84 12.69 13.63 14.38 15.22 16. 07 16. 01
5.87 6.40 6.94 7.47 8.00 8.54 9.07 9.61 10.14 10.67
9.28 10.12 10.96 11.81 12.65 13.49 14.34 15.18 16.02 16.87
6.91 6.45 6.98 7.52 8.06 8.00
~26
10.09 10.93 ll.77 12.62 13.46 14.30 15.14 15.98 16.82
6.86 6.49 7.03 7.S7 8.ll 8.66 9.20 9.74 10.28 10.82
13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28
17.81 18.66 19.51 20.35 21.20 22.05 22.90 23.75 24.W 25.44
ll.13 ll.66 12.19 12.72 13.25 13.78 14.31 15.37 15.110
17.76 18.61 19.45 20.30 21.14 21.99 22.83 23.68 24.63 25.37
ll.21 ll.74 12.27 12.81 13.34 13.87 14.41 14.94 15.47 16.01
17.71 18.65 19.40 20.24 21.08 21.93 22.77 23.61 24.46 25.30
17.66 18.50 19.34 3).18 21.03 21.87 22.71 23.65 24.39 25.23
ll.36 ll.90 12.44 12.98 13.62 14.07 14.61 15. IS 15.69 16. 23
21 22 23 24 25 26 27 28 29 30
26.29 27.14 27.99
16.43 16. 96 17.49 18.02 18.65 19.08 19.61 20.14 20.67 21.3)
26.22 27.06 27.91 28.75 29.00 30.45 31. 29 32.14 32.98 33.83
16.54 17.08 17.61 18.14 18.08 19.21 19.74 20.28 20.81 21.34
26.15
27.83 28.68 29.52 30.36 31.21 32.05 32.89 33.74
26.07 16.66 26.91 17.19 27.75 17.73 28.00 18.27 18.81 1 29.44 19.34 30.28 19.88 31.12 20.42 31.96 82.8> 20.95 33.64
16. 77 17.31 17.85 18.39 18. 93 19.48 20.02 20.66 21.10 21.64
21.73 22.26 22.79 23.32 23.85 24.38 24.91 25.44 25.97 26.50 --
34.67 35. 52 36.37 37.21 38.06 38.90 39.75 40.59 41.44 42.29
21.88 22.41 22.95 23.48 24.01 24.65 25.08 25.61 26.15 20.68
34.68 35.42 36. 27 37.11 37.95 38.8> 39.64 40.48 41.33 42.17
22.03 22.57 23.10 23.64 24.18 24.72 25.25 25. 79 26.33 26.86
22.18 22.72 23.26 23.80 24.34 24.88 25. 43 25.97 26.51 27.05
1 2 3 4 5 6 7 8 9
29
30
31 32
a:J
34 35 30 37 38
28.83
40
29.08 30.53 31.38 32.23 33.07 33.92
41 42 43 44 45 , 411 47 48 49 50
34.77 35.62 36.47 37.31 38.16 39.01 39.80 40.71 41.65 42.40
39
-- -8
I A
14.84
Del'. ·58·.
Lat.
- - --Del'.
Lat.
26.99
ll.28 11.82 12.36 12.90 13.43 13.97 14.51 15.04 15.68\ 16.12
"'' 1 Lat.
57~·.
72
34.48 35.32 36.16 37.01 37.85 38.69 39.63 40.37 41.21 42.05
7
8 9
10 11
1~
31
32 33
34
35 36 37 38
39
40
41 42 43 44 45 46
47
48 49 50
- - --- --- - - -Dep.
57~·.
~.13
9.67 10.21 10.75
1 2 3 4 II 6
Del'.
Lat.
S7~'.
li
j
Q
-.
TABtE 4 •...:.TRAVERSE TABLE. t::l
32~·.
32·.
Iii"
32J.i·.
!
32'4·.
I Lat. Dep. LIlt. Dep. Lat. Dep. I Lat. 1 - - - - - - - - - - - - ----
J 63 54 65 66 67 68 59 00
44.95 45. 79 46.64 47.49 48.34 49.19 60.03 60.88
28.09 28.62 29.15 29.68 30.21 30.74 31.27 31.80
44.82 45.67 46.52 47.36 48.21 49.05 49.90 60.74
28.28 28.82 29.35 29.88 30.42 30.95 31. 48 32.02
44.70 45.54 46.39 47.23 48.07 48.92 49.76 60.00
28.48 29.01 29.55 30.09 30.63 31.16 31. 70 32.24
61 62 Oil 64 Ii6 Ii6 61 68
61. 73 62.68 63.43 54.28 65.12 65.97 66.82 67.67 68.52
32.33 32.85 33.38 33.91 34.44 34.97 35.60 36.03 36.66 37.09
31.59 52.44 63.28 54.13 .'14.97 65.82 66.66 67.51 68.36 59.20
32.55 33.08 33.62 34.15 34.68 35.22 35.75 36.29 36.82 37.35
51. 45 52.29 63.13 63.98 54.82 65.66 56.51 67.35 68.19 ·59.04
82.78 33.31 33.85 34.39 34.92 35.46 36.00
37.89 38.42 38.95 39.49 40.02 40.65 41.09 41.62 42.16 42.00
69
44.58 46.42 46.26 47.10 47.94 48.78 49.62 60.46
59.71 60.65 61.40 62.24 63.08 63.92 64.76 65.60 86.44 01.28
38.95 39.49 40.03 40.67 41.11 41.66 42.20 42.74
43.Z8
71 72 73 74 76 76 77 78 79 80
43.82 44.36 44.90 45.44 45.98 46. 52 47.06 47.61 48.16 48.69
81 82 83 84 85 86 87 88 89 90
49.23 49.77 60.31 60.85 61.39 61.93 62.47 53.02 53.66 .'14.10
II:! 94 95 96 97 98 99 100
42.~
68.00
42.92 43.46 43.98 44.61 45.04 45.67 46.10 46.63 47.16 47.69
68.60 69.35 70.20 71.04 71.89 72.73 73.58 74.42 75.27 76.12
43.22 43.76 44.29 44.82 45. 36 45.89 46.42 46.96 47.49 48.03
68.31 69.16 70.00 70.84 71.00 72.53 73.38 74.22 75.06 75. 91
43.52 44.06
45.13 45.67 46.21 46.75 47.28 47.82 48.36
/18.12 68.97 69.81 70.65 71.49 72.33 73.17 74.01 74.85 76.69
48.22 48.75 49.28 49.81 60.34 60.87 61.40 61.93 62.46 S2.99
76.116 77.81 78.65 79.60 so. 34 81.19 82.04 82.88 83.73 84.67
48.66 49.09 49.63 60.16
76.75 77.59 78.44 79.28 80.12 flO. 97 81.81 82.65 83.60 84.34
411.89 49.43 49.97 60.51 61.04 iii. 68 62.12 62.66 63.19 63.73
76.63 77.38 78. 22 79.06 79.90 80.74 81.58 82.42 83.26 84.10
811
90
iii iI2 iii! 94 95 96 97 Il8 99 100
73.78 74.63 75.48 76.32 77.17 78.02 78.87 79.72
80.66 81.41 82.26 83.11 83.96
84.80
60.00
61.23 M.76 62.29 62.83 63.36
- - --- - - --- - -
Ii .!l
A
Dep.
Lat.
Dep.
H.W
-- -Dep.
Lat.
38.41
38.15 38.fi9 39.22 39.76 40.30 40.83 41.37 41.91 42.45 42.98
60.06 60.89 61.74 62.68 63.43 64.28 65.12 65.97 66.81 67.66
72.93
61 62 63 64 65 66
59.88 60.72 61.57 62.41 63.25 64.10 64.94 65.78 86.63 67.47
37.62 38.15 38.68 39.21 39.74 40.27 40. SO 41.33 41.86
69.54
33:00 33.54 34.08 34.62 35.16 35.70 36.25 36. 79 37.33 37.87
58.87
M.03
60.21 61.06 61.91 62.7(; 63.60 64.45 65.30 66.15 67.00 01.84
70.39 71.24 72.08
51 62 63 54 65 66 67 68 59 00
37.07 37.61
71
81 82 83 84 85 86 87 88
27.59 28.13 28.01 29.21 29.75 30.29 :lO.84 31.38 31.92 3"2.46
36.64
59.36
73 74 75 76 77 78 ?9 80
t
61.30 62.14 62.99 63.83 54.67 65. 61 66.35 67.19
70
72
I
I
Dep.
t::l
Iii"
Lat.
t;T
68 69 '10
91
92
--- - - - Dep.
1M.
ti
~
68·.
67~·.
Sm·.
73
6~·.
.l!
A
TABLE '.-TRAVERSE TABLB. - - - - - - - - _ .__.~
33 0•
l:'
Ii"
f
Lat.
33~0.
Dep.
Lat.
33~0.
Dep.
~o.
Dep.
!.at.
Lat.
l:'
Dep.
f
- - - - - - - - - - - - - - - - - - - - - - - --- - I 2 3 4 5 6 7 8 9 10
0.84 1.68 2.52 3.35 4.19 5.03 5.87 6.71 7.55 8.39
O.M 1.09 1.G3 2.18 2.72 3.27 3.81 4.36 4.90 5.45
0.84 1.67 2. 51 3.,35 4.18 5.02 5.85 6.69 7.53 8.36
0.65 1.10 1.64 2.19 2.74 3.29 3.84 4.39 4.93 5.48
0.83 1.67 2.50 3.M 4.17 5.00 5.84 6.67 7.50 8.M
0.65 1.10 1.66 2.21 2.76 3.31 3.86 4.42 4.97 5.52
0.83 1.66 2.4g 3.33 4.16 4.99 5.82 6.65 7.48 8.31
0.06 1.11 1.67 2.22 2.78 3.33 3.89 4.« 5.00 5.06
1 2 3 4 5 6 7 8 9 10
11 :2 13 14 15 16 17 18 19 20
9.23 10.06 10.90 11.74 12.58 13.42 14.26 15.10 15.93 16.77
5.99 6.M 7.08 7.62 8.17 8.71 9.26 9.80 10.35 10.89
9.20 10.04 10.87 11.71 12.M 13.38 14.22 15.05 15.89 16.73
6.03 6.58 7.13 7.68 8.22 8.77 9.32 9.87 10.42 10.97
9.17 10.01 10.84 11.67 12.51 13.M 14.18 15.01 15.84 16.68
6.07 6.62 7.18 7.73 8.28 8.83 9.38 9.93 10.49 11.04
9.15 9.98 10.81 11.e4 12.47 13.30 14.13 14.97 15.80 16.63
6.11 6.67 7.22 7.78 8.33 8.89 9.44 10.00 10.66 11.11
11 12 13 14 16 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
17.61 18.45 19.29 20.13 20.97 21.81 22.64 23.48 24.32 25.16
11.« 11.98 12.53 13.07 13.62 14.16 14.71 15.25 15.79 16.M
17.66 18.40 19.23 20.07 20.91 21.74 22.58 23.42 24. 2.~ 25.09
11.51 12.06 12.61 13.16 13.71 14.26 14.80 15.35 15.90 16.45
17.61 18.35 19.18 20.01 20.85 21.68 22.51 23.35 24.18 25.02
11.00 12.14 12.69 13.25 13.80 14.35 14.90 15.45 16.01 16.06
17.46 18.29 19.12 19.00 20.79 21.62 22.45 ' 23.28 24.11
21 22 23 24 25 26 27
~.94
11.67 12.22 12.78 13.33 13.89 14.« 15.00 15.06 16.11 16.67
31 32 33 M 35 36 :rI 38 39 40
26.00 26.84 27.68 28. hi 29.35 30.19 31.03 31.87 32.71 33.65
16.88 17.43 17.97 18.52 19.06 19.61 20.15 20.70 21.24 21.79
25.~
26.76 27.00 28.43 29.27 30.11 30.94 31. 78 32.fl2 33.45
17.00 17.65 18.09 18.64 19.19 19.74 20.29 20.84 21.38 21.93
25.85 26.68 27.52 28.35 29.19 30.02 3O.8S 31.69 32.52 33.36
17.11 17.66 18.21 18.77 19.32 19.87 20.42 20.97 21.53 22.08
25.78 26.61 27.« 28.27 29.10 29.9.1 30.76 31.60 32.43 33.26
17.22 17.78 18.33 18.89 19.« 20.00 20.56 21.11 21.67 22.22
811 40
41 C 43 « 45
M.39 35.22 36.06 36.90 :rI.74 38.58 39.42 40.26 41.09 41.93
22.33 22.87 23.42 23.00 24.61 25.05 25.60 26.14 26.69 27.23
M.29 35.12 35.00 36.80 37.63 38.47 39.31 40.14 40.98 41.81
22.48 23.03 23.58 24.12 24.67 25.22 25.77 26.32 26.87 27.41
M.19 35.02 35.86 36.69 37.62 38.36 39.19 40.03 40.86 41. 00
22.63 23.18 23.73 24.29 24.84 25.39 25.94 26.49 27.04 27.1!O
M.09 35.75 36.58 :rI.42 38.25 39.08 39.g1 40.74 41.67
22.78 23.33 23.89 24.45 25.00 25.66 26.11 26.67 27.22 27.78
41 42 43 « 45 46 47 48 49 lID
46 47 48 49 50
M.~
28
29 30 31 32
as
M 36 36
:rI
38
- - - - - - - - - - - - - - - - - - - - - - - --- - ~
iA
Lat.
Dep.
r;;o.
Dep. ~
Lat.
Lat.
Dep.
..
..
~
74
Lat.
Dep.
..
~
j A
TABLB t.-TRA VERSE TABLE. 1::1
II
33·.
iD
S-
~
Lat.
33~o.
Lat.
Dep.
33J.i·.
Lat.
Dep.
II
33W· Lat.
Dep.
- - --- --- --- --- ------ --61 62 63 54 55 56 57 58 59
60 61" 62
63
64 65 66 67 ~8
69 70 71 72
73 74 75 76 77 78 79 SO
42.77 43.61 44.45 46.29 46.13 46.f1T 47. SO 48.64 49.48 60.32
Zl.78 28.32 2I!.87. 29.41 29.96 30.60 31.04 31. 69 32.13 32.68
42.65 43.40 44.32 46.16 46.00 46.83 47.67 48.60· 49.34 60.18
51.16 62.00 62.84 63.67 54.51 55.35 56.19 57.03 57.87 58.71
33.22 33.77 34.31. 34.86 35.40 35.95 36.49 37.04 37.58 38.12
69.55 60.38 61.22 62.06 62.90
63.74, 64.58 65.42 66.25 67.09
Zl.96 28.51
f
--
30.16 30.70 31.. 25 31. SO 32.35 32.90
42.63 43.36 44.20 46.03 45.86 46.70 47.63 48.37 49.20 60.03
29. SO 30.36 30.91 31.46 32.01 32.56 33.12
42.40 43.24 44.07 44.90 45.73 46.56 47.39 48.23 49.06 49.89
51.01 51.86 62.69 63.62. 54.36 55.19 56.03 56.87 57.70 58.54
33.45 33.99 34.54 35.09 36.64 36.19 36.74 37.28 37.83 38.38
60.87 51.70 62.63 63.37 54.20 65.04 55.87 56.70 67.54 58.37
33.67 34.22 34.77 35.32 35.88 36.43 36.98 37.63 38.08 3&.64
60.72 61.55 62.38 63.21 54.05 54.88 55.71 56.54 57.37 58.20
33.89 34.45 35.00 35.56 36.11 36.67 37.22 37.78 38.33 38.89
61 62 63 64 65 66 67 68 69 70
38.67 39.21 39.76 40.30 40.86 41.39 41. 94 42.48 43.03 43.67
69.38 60.21 61.05 61.89 62.72 63.56 64.39 65.23 66.07 66.90
38.93 39.48· 40.03 40.57 41.12 41.67 42.22 42.77 43.32 43.86
69.21 60.04 60.87 61.71 62.54 63.38 64.21 65.!» 65.88 66.71
39.19 39.74 40.29 40.84 41.40 41.95 42.60 43.05 43.60 44.15
69.03 69.87 60.70 61.63 62.36 63.19 64.02 64.86 65.fi9 66.52
39.45 40.00 40.56 41.11 41.67 42.22 42.78 43.33 43.89 44.45
71 72 73 74 75 76 77 78 79 SO
67.74 68.58 69.41 70.25 71.08 71. 92 72.76 73.69 74.43 75.27
44.41 44.96 45.61 46.06 46.60 47.15 47.70 48.25 48.80 49.35
tl7.54 68.38 69.21 70.05 70.88 71. 71 72.55 n38 74.22 75.05
44.71 45.26 45.81 46.36 46.91 47.47 48.02 48.67 49.12 49.67
tl7.35 68.18 69.01 69.84 70. tl7 71.61 72.34 73.17 74.00 74.83
45.00 46.56 46.11 46.67 47.22 47.78 48.33 48.89 49.45 60.00
81 82 83 84 86 86 87 88 89 90
49.89 60.44 60.99 51.54 62.09 62.64 63.18 63.73 54.28 54.83
75.88 76.72 77.65 78.39 79.22 SO. 05 SO. 89 81.72 82.55 83.39
60.23 60.78 61.33 61.88 62.43 62.99
75.66 76.60 77.33 78.16 78.99 79.82 80.65 81.48 82.32 83.15
60.56 51.11 61.67 52.22 62.78 6.3.33 63.89 54.45 65.00 55.56
91 92 93 94 95 96 97 98 99 100
~.06 ~.61
28.15 28.70
Dep. ~--
1::1
iD
~.25
28.33 28.89 29.45· 30.00 30.56 31.11 31.67
32.22 32.78 33.33
51 62 63 54 55 56 57 58
69
60
I
81 82 8.3 84 86 86 87 88 89 90
67.93 68.77 69.61 70.45 71.29 72.13 72.96 74.64 75.48
44.12 44.66 46.21 45.75 46.29 46.84 47.38 47.93 48.47 49.02
91 92 9.3 94 95 96 97 98 99 100
76.32 77.16 78.0(1 78.84 79.57 SO. 51 81.35 82.19 83.03 83.87
76.10 76.94 77.77 78.61. 61. 20 ! 61. 74 I 79.45 62.29 ' SO. 28 81.12 81.96 82.79 63.92 54.46 83.63
73.80
49.56
~U11
~~i
- - - ---
- - --.;
<>
I
~., is
Lat.
Dep. 67·.
I I I
Dep. ~
6.~.54
54.09 54.64 55.19
--- - - - - -
Lat.
Dep.
..
Lat.
66J.i ••
76
Dep.
I
-Lat.
56~o.
~
:; :!l
A
TABLE f.-TRAVf:RSE TABLE.
~
~ -I
L~.
Dep.
0.82 1.64 2.46 3.29 4.11 4.93 5.75 6.67 7.39 8.22
0.67 1.14 1.71 2.28 2.85 3.42 3.99 4.56 5.13 5.70
1 2 3 4 5 6 7 8 9 10
6.15 6.71 7.27 7.83 8.39 8.96 9.61 10.07 10.62 11.18
9.09 9.92 10.75 11.57 12.40 13.23 14.05 14.88 15.71 16.53
6.19 6.76 7.32 7.88 8.44 9.00 9.57 10.13 10.69 11.26
9.07 9.89 10.71 11.54 12.36 13.19 14.01 14.83 16.66 HI. 48
6.23 6.80 7.36 7.93 8.50 9.06 9.63 10.20 10.76 11.33
9.04 9.86 10.68 11.50 12.32 13.15 13.97 14.79 16.61 16.43
6.27 6.84 7.41 7.98 8.65 9.12 9.69 10.26 10.83 11.40
11 12 13 14 15 16 17 18 19 20
17.41 18.24 19.07 19.90 20.73 21.65 22.38 23.21 24.04 24.87
11.74 12.30 12.36 13.42 13.98 14.54 16.10 15.66 16.22 16.78
17.36 18.18 19.01 19.84 20.66 21.49 22.32 23.14 23.97 24.80
11.82 12.38 12.94 13.51 14.07 14.63 16.20 15.76 16.32 16.88
17.31 18.13 18.95 19.78 20.60 21.43 22.25 23.08 23.90 24.72
11.89 12.46 13.03 13.59 14.16 14.73 15.29 15.86 16.43 16.99
17.25 18.08 18.90 19.72 20.54 21.36 22.18 23.01 23.83 24.65
11.97 12.54 13.11 13.68 14.25 14.82 16.39 15.96 16.53 17.10
21 22 23
25.70 26.53 27.36 28.19 29.02 29.85 30.67 31.50 32.33 33.16
17.33 17.89 18.45 19.01 19.57 20.13 20.69 21.25 21. 81 22.:rT
25.62 26.45 27.28 28.10 28.93 29.76 30.58 31. 41 32.24 33.06
17.45 18.01 18.57 19.14 19.70 20.26 20.82 21.39 21. 95 22.51
26.65, 26.37 27.20 28.02 28.84 29.67 30.49 31.32 32.14 32.97
17.56 18.12 18.69 19.26 19.82 20.39 20.96 21. 52 22.09 22.66
26.47 26.29 27.11 27.94 28.76 29.58 30.40 31. 22 32.04 32.87
17.67 18.24 18.81 19.38 19.95 20.52 21.09 21.66 22.23 22.80
31 32
33.99 34.82 35.65 36.48 37.31 38.14 38.96 39.79 40.62 41.45
22.93 23.49 24.05 24.60 25.16 25.72 26.28 26.84 27.40 27.96
33.89 34.72 35.54 36.37 37.20 38.02 38.85 39.68 40.50 41.83
23.08 23.64 24.20 24.76 25.33 25.89 26.45 27.01 27.58 28.14
33.79 34.61 35.44 36.26 :rT.09 37.91 38.73 39.56 40.38 41. 21
23.22 23.79 24.36 24.92 26.49 26.05 26.62 27.19 27.75 28.32
33.69 23.37 23.94 34.61 35.33 .24.51 36.15 25.08 25.65 36.97 26.22 :rT.80 38.62 26.79 39.44 27.36 40.26 27.9.1 41.08 28.50
31 32
50
i
0.57 1.13 1. 70 2.27 2.83 3.40 3.96 4.53 6.10 6.66
21 22 23 24 25 26 27 28 29 30
46
Dep.
0.82 1.65 2.47 3.30 4.12 4.94 6.77 6.59 7.42 8.24
9.12 9.95 10.78 11.61 12.44 13.26 14.09 14.92 15.75 16.58
47 48 49
Lat.
Dep.
0.56 1.13 1. 69 2.25 2.81 3.38 3.94 4.50 6.07 6.63
11 12 13 14 15 16 17 18 19 20
41 42 43 44 45
Lat.
Dep.
0.83 1.65 2.48 3.31 4.13 4.96 6.79 6.61 7.44 8.27
0.83 1.66 2.49 3.32 4.15 4.97 5.80 6.63 7.46 8.29
34 35 36 :rT 38 39 40
Lat.
3414°.
34J.i°.
--- - - - - - - - - - - - - - - - - - - - - - -
2 3 4 5 6 7 8 9 10
33
34~o.
34 0 •
t;j
0.56 1.12 1.68 2.24 2.80 3.36 3.91 4.47 , 6.03 5.59
24 25
26 27 28 29 30
33 34 35 36 :rT 38 a9 40 41 42 43 44 45 46
47 48 49 50
- - --- - - - - - - - - - - - - - - - - - - - - -I -
i
.!I
A
Lat.
Dep.
Dep.
Lat.
Dep.
Lat .
Dep.
Lat.
, MO.
~o.
MJ.iD.
18
65~D.
i
.!I
A
T4Bl.B 4.-TUVB&8B TA.BLE.
J
I
34°.
t:I ;;-
Dep.
1M.
1- --42.28 51 43.11 62 43.94 63 44.n M 45.00 55 46.43 5& 47.26 67 48.08 liS 48.91 59 49.74 00
.
. 34~0.
34J.i°.
394°.
t:I
Iii"
Lat.
Lat.
Dep.
Dep.
Lat.
Dep.
J
--- --- - - - --- --- ---I - - 28.62 29.08 29.64 30.20 30.76 31.31 31.87 32.43 32.99 33.55
42.16 42.98 43.81 44.64 45.46 46.29 47.12 47.94 48.77 49.00
28.70 29.27 29.83 30.39 30.95 31.52 32.08 32.64 33.21
42.03 42.85 43.68 44.50 45.33 46.15 46.98 47. SO 48.62 49.45
28.89 29.45 30.02 30.59 31.15 31. 72 32.29 32.85 33.42 33.98
41.90 42.73 43.55 44.37 45.19 46. 01 46.83 47.66 48.48 49.30
29.07 29.64 30.21 30.78 31.35 31.92 32.49 33.06 33.63 34.20
50.27
50.12 50.94 51. 76 52.59 63.41 M.23 55.05 55.87 M.69 57.62
34.n
61 62 G3 64 65 06 67 68 611 70 71 72 73 74 75 76
33.n
51 62 63 M 55
5& 57
liS
59 00
61 62 63 64 65 66 67 68 611 70
50.57 51. 40 52.23 63.06 63.89 M.72 55.55 00.37 57.20 1i8.03
34.11 1 50.42 51.25 34.1Sl 35.23 52.08 35.79 52.90 36.35 53. 73 36.91 M.55 37.47 55.38 38.03 00.21 38. liS 57.03 39.14 57.86
34.33 34.89 35.46 36.02 36. liS 37.15 37.71 38.27 38.83 39.40
ft.1.9210 52.74 63.57 M.39 55.22 00.04 00.86 57.611
34.55 35.12 35.68 36.25 36.82 37.38 37.95 38.62 39.08 39.65
71 72 73 74 75 76
liS. 86 59.69 00.62 61.35 62.18 63.01 63.84 64.66 65.49 06.32
39.70 40.26 40.82 41.38 41.94 42.50 43.06 43.62 44.18 44.74
liS. 611 00.51 60.34 61.17 61.99 62.82 63.65 64.47 65.30 66.13
39.96 40.52 41.08 41.65 42.21 42.77 43.34 43.90 44.46 46.02
liS. 51 59.34 60.16 60.99 61.81 62.63 &.46 64.28 65.11 65.93
40.21 40.78 41.35 41. 91 42.48 43.05 43.61 44.18 44.75 45.31
liS. 34 00.16 00.98 60. SO 61. 62 62.45 63.27 64.09 64.91 65.73
40.47 41.04 41.61 42.18 42.75 43.32 43.89 44.46 45.03 45.00
78 79 SO
1Sl.15
45.29 45.85 46.41 46.97 47.63 48.09 48.65 49.21 49.77 50.33
66.95 67.78 68.61 611.43 70.26 71.09 71.91 72.74 73.57 74.39
45.59 46.15 46.71 47.28 47.84 48.40 48.96 411.63 50.09 50.65
66.75 67. liS 68.40 lie. 23 70.05 70.87 71.70 72.52 73.35 74.17
45.88 46.45 47.01 47. liS 48.14 48.71 49.28 49.84 50.41 50.98
06.55 67.38 68.20 611.02 lie. 84 70.66 71.48 72.30 73.13 73.95
46.17 46.74 47.31 47.88 48.45 49.02 49.59 50.16 50.73 51.30
81 82 83 84 85 86 87 88 89 90
50.89 61.45 62.00 62.M 63.12 63.68 54.24 54.80 55.36 66.92
75.22 76.05 76.87
51.22 51. 78 52.34 62.90 63.47 54.03 M.OO 55.15 55.72 56.28
76.00 75.82 76. 64
51.54 62.11 62.68 63.24 63.81 54.37 54.94 55. 51 M.07 M.64
74. 77 75.00 76.41 77.23 78.06 78.88 79.70 SO. 52 81.34 82.16
51.87 62.44 63.01 63. liS M.15 54.72 55.29 55.86 56.43 67.00
gl 92 93 94 95 96 97 98 99 100
n
78 79 SO 81 82 83 84 85 86 87 88 89 90 gl 92 93 94 g5 96 97 gg 90 100
67.98 68.81 611.64 70.47 71.30 72.13 72.96 73.78 74.61 76.44 76.27
n,1O n,93
78.76 79.59 SO. 42 81.25 82.07 82.90
- - - - - 'I - - I
:
8 j
DeP·1 Lat.
A
66·.
.
n,70
78.63 79.35 SO. 18 81.01 81.83 82.66
--- --Dep. ~
n,47
78.29 79.12 79.94 SO. 76 81.00 82.41
35.34 35.91 36.48 37.05 37.62 38.19 38.76 39.33 39.90
n
--- - - - --- - - - -
Let.
De{).
..
~
71
Lat.
..
Dap. ~
Lat.
..
j
.!I
A
TABLE f.-TRAVERSE TABLE.
11 12 13 14 15 16 17 18 19 20
9.01 9.83 10.65 11.47 12.29 13.11 13. 93 14.74 15.56 16.38
6.31 6.88 7.46 8.03 8.60 9.18 9.75 10.32 10.90 11.47
8.98 9.80 10.62 11.43 12.25 13.07 13.88 14.70 15.52 16.33
6.35 6.93 7.60 8.08 8.00 9.23 9.81 10.39 10.97 11.54
8.96 9.77 10.58 11.40 12.21 13.03 13.84 14.65 15.47 16.28
6.39 6.97 7.55 8.13 8.71 9.29 9.87 10.45 11.03 11.61
8.93 9.74 10.55 11.36 12.17 12.99 13.80 14.61 15.42 16.23
6.43 7.01 7.60 8.18 8.76 9.35 9.93 10.52 11.10 11.68
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
17.20 18.02 18.84 19.66 20.48 21.30 22.12 22.94 23.76 24.57
12.05 12.62 13.19 13.77 14.34 14.91 15.49 16.06 16.63 17.21
17.15 17.97 18.78 19.60 20.42 21.23 22.05 22.87 23.68 24.60
12.12 12.70 13.27 13.85 14.43 15.01 15. 68 16.16 16.74 17.31
17.10 17.91 18.72 19.54 20.35 21.\7 21. 98 22.80 23.61 24.42
12.19 12.78 13.36 13.94 14.52 15.10 15.68 16.26 16.84 17.42
17.04 17.85 18.67 19.48 20.29 21.10 21. 91 22.72 23.54 24.35
12.27 12.85 13.44 14.O"J 14.61 15.19 15.77 16.36 16.94 17.53
21 22 23 21 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
25.39 26.21 27.03 27.85 28.67 29.49 30.31 31.13 31.95 32.77
17.78 18.35 18.93 19.50 20.08 20.65 21. 22 21.80 22.37 22.94
25.32 26.13 26.95 27.77 28.58 29.40 30.22 31. 03 31.85 32.67
17.89 18.47 19.05 19.62 20.20 20.78 21.35 21.93 22.51 23.09
25.24 26.05 26.87 27.68 28.49 29.31 30.12 30. 94 31.75 32.56
18.00 18.68 19.16 19.74 20.32 20.91 21.49 22.07 22.65 23.23
25.16 25.97 26.78 27.59 28.41 29.22 30.03 30.84 31.65 32.46
18.11. 18.70 19.28 19.86 20.45 21. 03 21. 62 22.20 22.79 23.37
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 60
33.59 34.40 35.22 36.04 36.86 37.68 38.60 39.32 40.14 40.96
23.52 24.09 24. 66 25.24 25.81 26.38 26.96 27.53 28.11 28.68
33.48 34.30 35.12 35.93 36.75 37.57 38.38 39.20 40.02 40.83
23.66 24. 24 24.82 25.39 25. 97 26.55 27.13 27.70 28.28 28.86
33.38 34.19 36.01 35.82 36.64 37.45 38.26 39.08 39.89 4Q.71
23.81 24.39 24. 97 25.55 26.13 26.71 27.29 27.87 28.45 29.04
33.27 34.09 34.90 35.71 36.52 37.33 38.14 38.96 39.77 40.58
23.95
41 42 43 44 45 46 47 48 49 50
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
78
24.54 25.12 25.71 26.29 26.g8 27.46 28.04 28.63 29.21
Lat.
TABLE
i ~ 51 52 53
54
55 56 57 58 59
60
61 62 63 64 65 66 01 68 69 70
Lat.
Dep.
41. 78
29.25 29.83 30.40 30.97 31.55 32.12 32.69
43.42 44.23 45.05 45.87 46.69 47.51 48.33 49.15
49.97 50.79 51.61 52.43 53.24
54.06 54.88 55.70 56.52 57.34
71 72 73 74 75 76 77 78 79 SO
58.16 58.98 59. SO 60.62 61. 44 62.26 63.07
81 82
66.35 67.17 67.99 68.81
83 84 85 86 87
88 89 00
91 92
93 9t 95 96 'in 98 99 100
35~0.
35°.
42.60
63.89 64.71 65.53
69.63
70.45 71.27 72.09 72.00 73.72 74.54 75.36 76.18 77.00 77.82 78.64 79.46 SO. 28 81.10 81.92
~.-TIlJ.VBRSE
~ 41. 65 42.47 43.28 44.10
35J.i".
~
Dep.
33.84 34.41
45.73 46.55 47.37 48.18 49.00
29.43 30.01 30.59 31.17 31. 74 32.32 32.90 33.47 34.05 34.63
34.99 35.56 36.14 36.71 37.28 37.86 38.43 39.00 39.58 40.15
49.82 50.63 51. 4.5 52.27 53.08 53.00 54.71 55.53 56.35 57.16
35.21 35.78 36.36 36.9t 37.51 38.09 38.67 39.25 39.82 40.40
40.72 41.30 41. 87
57.98 58. SO 59.61
33.27
42.44 43.02 43.59 44.17 44.74 45.31 45.89
44.92
60.43
61.25 62.06
62.88 63.70 64.51
65.33
46.46 47.03 47.61 48.18 48.75 49.33 49.00 50.47 51.05 51.62
66.15 66.96 67.78
52.20
74.31 75.13 75.95 76.76 77.58 78.40 79.21 SO. 03 SO. 85 81.66
52.77 53.34 53.92
54.49 55.06 55.64 56.21 56.78 57.36
68.60 69.41 70.23 71.05 71.86 72.68 73.50
TABLE.
41. 52
42.33
43.15 43.96 44.78 45.59 46.40 47.22 48.03 48.85
I 49.66 50.48 51.29 52.10 52.92 53.73
Dep. 29.62 30.20 30.78 31.36 31.94 32.52 33.10 33.68 34.26 34.84 35.42 36.00 36.58 37.16 37.75
I
~o.
I~ 41.39
42.20 43.01 43.82 44.64 45.45 46.26 47.97 47.88 48.69 49.51 50.32 51.13 51.94 52.75 53.56
54.55
38.33 38.91
55.36 56.17 66.99
39.49 40.07 40.65
40.98 41.55 42.13 42.71 43.29 43.86 44.44 45.02 45.59 46.17
57. SO 58.62 59.43 60.24 61.06 61.87 62.69 63.50 64.32 65.13
41.23 41.81 42.39 42.97 43.55 44.13 44.71 45.29 45.88 46.46
57.62 58.43 59.24
46.75 47.33 47.00 48.48 49.06 49.63 50.21 50.79 51.37 51. 94
65.94 66.76 01.57 68.39
47.04 47.62
65.74
52.52 53.10 53.67 64.25 54.83 55.41
74.08 74.00 75.71 76.53 77. 34 78.16 78.97 79.78
55.98
56.56
69.20 70.01 70.83 71. 64 72.46 73.27
57.14
SO. 60
57.71
81.41
79
48.20 48.78 49.36 49.9t 50.52 51.10 51. 68 52.26 52.84 53.42
64.01 64.59 65.17 65.75 56.33 56.91 57.49 58.97
54.38 55.19 66.00 56.81
60.06
60.87 61.68 62.49 63.30 64.11 64.93
66.55 67.36 68.17
68.98 69. SO
Del'. 29. SO 30.38 30.97 31.55 32.13 32.72 33.30
33.89
i ~ 51 52 53
54 55 56 57 58 59
34.47 35.05
60
35.64 36.22 36.81 37.39 37.98 38.56 39.14 39.73 40.31 40.00
61 62 63 64 65 66 67 68 69 70
41.48 42.07 42.65 43.23 43.82 44.40 44.99 45.57 46.16 46.74
71 72 73
47.32 47.91 48.49 49.08 49.66 50.25
70.61 71.42 72.23 73.04
50.83
73.85 74.66 75.48 76.29 77.10 77.91 78.72 79.53 SO. 35 81.16
53.17 53.75 54.34
51.41 52.00' 52.58.
64.92
55.50 66.09 66.67 67.26 67.84 58.42
74
75 76 77 78 79
SO 81 82
83 84 85
SO
87
88 89 00 91
92 93
94 95
96 97 98 99 100
TJ.BLE 4.-TaJ.VBUIi: TJ.BLE. 36'.
'='
~o.
~
36~·.
10
J - - - - -----Lat.
I 2
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26
27
28 29 30 81
32
33 34 36 36 37 38 39 40
41 42 43 44
46 46 47 48 49 6Q
--
i A
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
------
..
'='
G"
I Dep.
J
I-
0.81 1.62 2.43 3.24 4.05 4.85 6.66 8. 47 7.28 8.09
0.59 1.18 1.76 2.35 2.94 3.53 4.11 4.70 5.29 6.88
0.81 1.61 2.42 3.23 4.03 4.84 6.05 6.45 7.26 1.06
0.59 1.18 1.77 2.37 2.96 3.55 4.14 4.73 6.32 6.91
0.80 1.61 2.41 3.22 4.02 4.82 5.63 6.43 7.23 8.04
0.59 1.19 1. 78 2.38 2.97 8.67 4.16 4.76 6.35 6.95
0.80 1.60 2.40 3.21 4.01 4.81 6.61 6.41 7.21 8.01
0.60 1.20 1. 79 2.39 2.99 3.59 4.19 4.79 6.38 6.98
4 5 6 7 8 9 10
1.90 9.71 10.62 11.33 12.14 12.94 13.75 14.66 16.37 16.18
6.47 7.05 7.64 8.23 8.82 9.40 9.99 10.58 11.17 11.76
8.87 9.68 10.48 11.29 12.10 12.90 13.71 14.62 15.32 16.13
6.60 7.10 7.69 8.28 8.87 9.46 10.05 10.64 11.23 11.83
8.84 9.05 10.45 11.25 12.06 12.86 13.67 14.47 15.27 16.~
6.64 7.14 7.73 8.33 8.92 9.62 10.11 10.71 11.30 11.90
8.81 9.62 10.42 11.22 12.02 12.82 13.62 14.42 15.22 16.03
6.58 7.18 7.78 8.38 8.97 9.57 10.17 10.77 11.37 11.97
11 12 13 14 15 16 17 18 19 20
16.99 17.80 18.61 19.42 20.23 21.03 21.84 22.05 23.46 24.27
12.34 12.93 13.52 14.11 14.69 15.28 16.87 16. 46 17.05 17.63
UI.94 17.74 18.65 19.35 20.16 20.97 21.77 22.58 23.39 24.19
12.42 13.01 13.60 14.19 14.78 15.37 16.97 16.66 17.15 17.74
16.88 17.68 18.49 19.29 20.10 20.90 21.70 22.51 23.31 24.12
12.49 13.09 13.68 14.28 14.87 16. 47 16. 06 16. 66 17.25 17.84
16.83 17.63 18.43 19.23 20.03 20.83 21.63 22.44 23.24 24.04
12.66 13.16 13.76 14.36 14.96 15.66 16.15 16.75 17.35 17.95
21 22' 23 24 25 26 27 28 29 30
2.5.~
18.22 18. 81 19.40 19.98 20.67 21.16 21.75 22.34 22.92 23.51
2.5.00 18.33 26.81 18.92 26.61 19.61 27.42 20.10 28.23 20.70 29.03 . 21.29 29.84 21.88 30.64 22.47 31.45 23.06 32.26 23.05
24.92 25.72 26. 53 27.33 28.13 28.94 29.74 30.65 31.35 32.15
18.44 19.03 19.63 20.22 20.82 21. 41 22.01 22.f>O ' 23.20 23.79
24.84 25.64
18.65 19.15 19.74 27.24 20.34 28.04 20.91 28.85 21.54 29.05 1 22.14 30.45 22.74 31.25 23.33 32.05 23.93
31 32 33 34 36 36 37 38 39 40
24.10 24.69 25. 27
33.06 33.87 34.68 36.48 36.29 37.10 37.90 88.71 39.62 40.32
32.00 33.76 34.57 35.37 36.H 30.98 37.78 38.59 39.39 40.19
24.39 24.98 25. 58 26.17 26.77 27.36 27.96 28.55 29.15 29.74
32.85 3.1.05 34.45 35.26 3U.0(\ 36.8li 37.66 38.40 39.26 40. 06
41 42 43
25.89 26.70 27.51 28.32 29.12 29.93 30.74 31.55 32.36 3.1.17 3.1.98 34.79 36.m 36.41 37.21 38.02 .38.83 39.64 40.45
25.86
2li.45 27.04 27.63 28.21 28.80 29.39
24.24 24.84 26. 43 26.02 26.61 27.20 27.79
ZR.38
28.97 29.67
--- - - - - - - - - Dep.
Lat. 64°.
Dep. ~
Lat.
..
-Dep.
26.44
24.53 25.1:1 25. 73 2\1.33 26.92 27.52 28.12 28.72 29.32 29.92
1 2
3
44
45 46 47 48
49 60
--- - - - - - -Lat.
33~·.
Dep.
Lat.
53~·.
..i
&:l
TABLE 4.-TRAVBB8E TABLE. 36°.
1::1
i
36~0.
361..4°.
!O
36"..4°.
1::1
to
10
Lat.
51, 52 53 64 55 56 57 58 59 60
41. 26 42.07 42.88 43.69 44.50 45.30 46.11 46.92 47.73 48.64
29.98 30.00 31.15 31. 74 32.33 32.92 33.50 34.09 34.68 35.27
41.13 41. 94 42.74 43.55 44.35 45.16 45.97 46.77 47.58 48.39
30.16 30.75 31.34 31.93 32.52 33.11 33.70 34.30 34.89 35.48
41.00 41.80 42.60 43.41 44.21 45.02 45.82 46.62 47.43 48.23
30.34 30.93 31.63 32.12 32.72 33.31 33.90 34.50 35.09 35.69
40.86 41.67 42.47 43.27 44.07 44 87 45.67 46.47 47.27 48.08
31.11 31.71 32.31 32.91 33.51 34.10 34.70 35.30 35.90
30.61
51 62 63 64 55 56 57 58 69 60
61 62 63 64 65 66 67 68 09 70
49.35 50.16 50.97 51.78 52.59 63.40 64.20 55.01 55.82 56.63
35.85 36.44 37.03 37.62 38.21 38.79 39.38 39.97 40.56 41.14
49.19 50.00 50.81 51.61 52.42 53.23 54.03 54.84 55.64 56.45
36.07 36.66 37.25 37.84 38.44 39.03 39.62 40.21 40.80 41.39
49.04 49.84 50.64 51.45 52.25 63.05 53.86 54.66 55.47 56.27
36.28 36.88 37.47 38.07 38.66 39.26 39.85 40.45 41.04 41.64
48.88 49.68 50.48 51. 28 52.08 62.88 63.68 54.49 55.29 56.09
36.50 37.10 37.69 38.29 38.89 39.49 40.09 40.69 41.28 41.88
61 62 63 64 65 00 67 68 69 70
71 72 73 74 75 76 77 78 79 80
57.44 68.25 59.06 59.87 50. fiB 61.49 62.29 63.10 63.91 64.72
41. 73 42.32 42.91 43.50 44.08 44.67 45.26 45.85 46.44 47.02
67.26 58.06 58.87 59.68 60.48 61.29 62.10 62.90 63.71 64.62
41. 98 42.57 43.17 43.76 44.35 44.94 45.53 46.12 46.71 4730
67.07 57.88 58.68 69.49 50.29 61.0If 61.90 62.70 63.50 64.31
42.23 42.83 43.42 44.02 44.61 45.21 45.80 46.40 46.99 47.59
56.89 57.69 58.49 69.29 60.09 60.90 61.70 62.50 63.30 64.10
42.48 43.08 43.68 44.28 44.87 45.47 46.07 46.67 47.27 47.87
71 72 73 74 75 76 77 78 79 80
81
110
65.63 66.34 67.15 67.96 68.77 69.58 70.38 71.19 72.00 72.81
47.61 48.20 48.79 49.37 49.96 50.55 51.14 5l.73 52.31 62.90
65.32 66.13 00.93 67.74 68.55 69.35 70.16 70.97 71. 77 72.58
47.90 48.49 49.08 49.67 50.26 50.85 51.44 52.04 52.63 63.22
65.11 65.92 66.72 67.62 68.33 69.13 69.94 70.74 71.54 72.35
48.18 48.78 49.37 49.97 50.00 51.15 51.75 52.34 62.94 63.63
64.90 65.70 60.50 67.31 68.11 68.91 69.71 70.51 71.31 72.11
48.46 49.06 49.66 50.26 50.86 51.46 52.05 52.65 63.25 63.85
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
73.62 74.43 75.24 76.05 76.86 77.67 78.47 79.28 80.09 80.90
63.49 64.08 64.66 55.25. 55.84 61;'43 57.02 57. f>O 58.19 58.78
73. 39 74.19 75.00 75.81 76.ft 77.42 78.23 79.03 79.84 80.64
63.81 64.40 54.99 55.58 56.17 56.77 57.36 57.95 58.54 69.13
73.15 73.96 74.76 75.00 76.37 77.17 77.97 78.78 79.58 80.39
64.13 54.72 55.82 65.91 66.51 57.10 67.70 58.29 58.89 119.48
72. 91 73.72 74.52 75.32 76.12 76.92 7772 78.62 79.32 80.13
54.45 55.05 55.64 56.24 56.84 07.44 58.04 58.64 69.23 69.83
91 92 93 94 95 96 97 98 99 100
Dep.
82 83 84 85 86 87 88 89
Lat.
.!l
A
Dep.
Dep.
- - - - - - --- - - - ---
Lat.
Dep. 64°.
4147~1()-(1
Lat.
Dep.
--- - - - - -
--- ------ --- - - - - -
- - --- ---
j
Lat.
"~
~
--
Dep.
Dep.
Lat.
Lat.
~.
63~·.
81
Dep.
Lat.
63)(°.
J .!l
A
TABLE 4.-TRA VERSE TABLE.
t1
~
37·.
FA
..
37~·.
[
t)
l"
--
Lat.
Dep.
Lat.
Dep.
Lat.
r;;
Dep.
I
--- --- ------ - - - - - - - - - - - - -
4 5 6 7 8 9 10
0.80 1.60 2.40 3.19 3.00 4.79 5.59 6.39 7.19 7.00
0.60 1.20 1.81 2.41 3.01 3.61 4.21 4.81 5.42 6.02
0.80 1.69 2.39 3.18 3.98 4.78 5.57 6.37 7.16 7.00
0.61 1.21 1.82 2.42 3.03 3.63 4.24 4.84 5.45 6.05
0.79 1.69 2.38 3.17 3.97 4.76 5. liS 6.35 7.14 7.93
0.61 1.22 1.83 2.44 3.04 3.65 4.26 4.87 5.48 6.09
0.79 1.58 2.37 3.16 3.95 4.74 5.53 6.33 7.12 7.91
0.61 1.22 1.84 2.45 3.06 3.67 4.29 4.90 5.51 6.12
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
8.78 9.58 10.38 11.18 11.98 12.78 13.58 14.38 15.17 15.97
6.62 7.22 7.82 8.43 9.03 9.63 10.23 10.83 11.43 12.04
8.76 9.M 10.35 11.14 11.94 12.74 13.53 14.33 15.12 15.92
6.66 7.26 7.87 8.47 9.08 9.68 10.29 10.90 11.50 12.11
8.73 9.52 10.31 11.11 11.90 12.69 13.49 14.28 15.07 15.87
6.70 7.31 7.91 8.52 9.13 9.74 10.35 10.96 11.57 12.18
8.70 9.49 10.28 11.07 11.86 12.65 13.44 14.23 15.02 15.81
6.73 7.35 7.00 8.57 9.18 9.80 10.41 11.02 11.63 12.24
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
16. 77 17.57 18.37 111.17 19.97 20.76 21.56 22.36 23.16 23.00
12.64 13.24 13. 84 14.44 15. 05 15. 65 16.25 16.85 17.45 18.05
16. 72 17.51 18.31 19.10 19.00 20.70 21.49 22.29 23.08 23.88
12.71 13.32 13.92 14.53 15.13 15.74 16.34 16.95 17.55 18.16
16.66 17.45 18.25 19.04 19.83 20.63 21. 42 22.21 23.01 23.80
12.78 13.39 14.00 14.61 15.22 15.83 16.44 17.05 17.65 18.26
16.60 17.40 18.19 18.98 19.77 20.56 21.35 22.14 22.93 23.72
12.86 13.47 14.08 14.69 15.31 15.92 16.53 17.14 17.75 18.37
21 22 23 24 25 26 27 28 29 30
81 32 33 34 36 36 37 38 39 40
24.76 25.56 26.35 27.15 27.95 28.75 29.M 30.35 31.15 31.95
18.66 19.26 19.86 20.46 21.00 21. 67 22.27 22.87 23.47 24.07
24.68 25.47 26.27 27.00 27.86 28.M 29.45 30.25 .31.04 31.84
IIf.76 19.37 19.97 20.58 21.19 21. 79 22.40 23.00 23.61 24.21
24.59 25.39 26.18 26.97 27.77 28.56 29.35 30.15 30.94 31.73
18.87 19.48 20.09 20.70 21. 31 . 21.92 22.52 23.13 23.74 24.35
24.51 25.30 25.09 26.88 27.67 28.46 29.26 30.05 30.84 31.63
18.98 19.59 20.20 20.82 21.43 22.04 22.65 23.26 23.88 24.49
31 32 33 34 35 36 37 38 39 40
41 42 43 44 46 46 47 48 49 60
32.74 33.54 34.34 35.14 35.94 36; 74 37.54 38.33 39.13 39.93
24.67 25.28 25.88 26.48 27.08 27.68 28.29 28.39 29.49 30.09
33:43 34.23 35.02 35.82 36.62 37.41 38.21 39.00 39.80
32.04
24.82 25. 42 26.03 26.63 27.24 27.84 28.45 29.05 29.66 30.26
32.63 33.32 34.11 34.91 35.70 36. 49 37.29 38.08 38.87 39.67
24.00 25. 57 26.18 26.79 27.39 28.00 28.61 29.22 29.83 30.44
32.42 33. 21 34.00 34.79 35.58 36.37 37.16 37.95 38.74 39.53
25.10 25. 71 26.33 26.94 27.55 28.16 28.77 29.39 30.00 30.61
41 42 43 44 45 46 47 48 49 50
I 2
3
;
Dep.
Lat.
t1
37',4·.
--- - - - --- --- - - - - - - I - --- - -
j A
Dep.
Lat. 63·.
Dep.
Lat.
112'4 0 •
Dep.
Lat.
52W.
82
Dep.
Lat.
~o.
!
~
.!I
A
TABLE •• ~TRAVER8E TABLE.
.~
37°.
I
37~0.
37J4°.
37',4°.
\::I
~
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep:
"~
40.73 41.53 42.33 43.13 43.92 44.72 45.52 46.32 47.12 47.92
30.69 31.29 31.90 32.50 33.10 33.70 34.30 34.91 35.51 36.11
40.60 41.39 42.19 42.98 43.78 44.58 45.37 40.17 46.96 47.76
30.87 31.48 32.08 32.69 33.29 33.90 24.50 35.11 35.71 36.32
40.46 41.25 42.05 42.84 43.63 44.43 45.2'J 46.01 46.81 47.60
31.05 31.66 32.26 32.87 33.48 24.09 24.70 35.31 35.92 36.53
40.33 41.12 41.91 42.70 43.49 44.28 45.07 45.86 46.65 47.44
31.22 31.84 32.45 33.06 33.67 24.28 24.90 35.51 36.12 36.73
53 54 55 56 57 58 59 00
61 . 62 63 64 65 66 67 68 69 70
48.72 49.52 50.31 51.11 51.91 52.71 53.51 54.31 55.11 55.90
36.71 37.31 37.91 38.52 39.12 39.72 40.32 40.92 41. 53 42.13
48.56 49.35 50.15 50.94 51.74 52.54 53.33 54.13 54.92 55.72
36.112 37.53 38.13 38.74 39.34 39.95 40.55. 41.16 41.77 42.37
48.39 49.19 49.98 50.77 51.57 52.36 53.15 5.1.95 54.74 55.53
37.13 37.74 38.35 38.96 39.57 40.18 40.79 41.40 42.00 42.61
48.23 49.02 49.81 50.60 51. 39 52.19 52.98 53.77 54.56 55.35
37.35 37.96 38.67 39.18 39.79 40.41 41.02 41.63 42.24 42.86
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
56.70 57.50 58.30 59.10 59.90 60.70 61.49 62.29 63.09 63.89
42.73 43.33 43.93 44.53 45.14 45.74 46.34 46.94 47.54 48.15
56.52 57.31 58.11 58.90 59.70 60.50 61.29 62.09 62.88 63.68
42.98 43.58 44.19 44.79 45.40 46.00 46.61 47.21 47.82 48.42
56.33 67.12 57.91 58.71 59.50 60.29 61.09 61.88 62.67 63.47
43.22 43.83 44.44 45.05 45.66 46.27 46.87 47.48 48.09 48.70
56.14 56.93 57.72 58.51 59.30 00.09 00.88 61.67 62.46 63.26
43.47 44.08 44.69 45.30 45.92 46.53 47.14 47.75 48.37 48.98
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
64.69 65.49 66.29 67.09 67.88 68.68 69.48 70.28 71.08 71.88
48.75 49.35 49.95 50.55 51.15 51.76 52.36 52.96 53.56 54.16
64.48 65.27 66.07 66.86 67.66 68.46 69.25 70.05 70.84 71.64
49.03 49.63 50.24 50.84 51. 45 52.06 52.66 53.27 5.,.87 54.48
64.26 65.05 65.85 66.64 67.44 68.23 59.02 69.82 70.61 71.40
49.31 49.92 50.53 51.14 51.74 52.35 52.96 53.57 54.18 54.79
64.05 64.84 65.63 66.42 67.21 68.00 68.79 69.58 70.37 71.16
49.59 50.20 50.81 51. 43 52.04 52.65 53.26 53.88 54.49 55.10
in
91
72.68 73.47 74.27 75.07 75.87 76.67 77.47 78.27 79.06 79.86
54.77 55.37 55.97 56.67 57.17 57.77 58.38 58.98 59.58 00.18
72.44 73.23 74.03 74.82 75.62 76.42 77.21 78.01 78.80 79.00
55.08 55.69 56.29 56.90 57.50 58.11 58.71 59.32 59.92 00.53
72.20 72.99 73.78 74.58 75.37 76.16 76.96 77.75 78.54 79.34
55.40 56.01 56.61 57.22 57.83 58.44 59.05 69.66 60.27 00.88
71.95 72.74 73.53 74.32 75.12 ·75.91 76.70 77.49 78.28 79.07
55.71 56.32 66.94 57.55 58.16 58.77 59.39 60.00 60.61 61.22
91 92 93 94 95 96 97 98 99 100
~
Lat.
51 52 53 54 55 56 57 58 59 60
112 93 94 95
96
97 98 99 100
61
62
82 83 84 85 86 87 88 89 90
- - - - - - - - - - - - - - --- - - - - - - - - - - Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 8
J
.!l A
I
53°,
52~0.
5~IO.
83
52J{°.
,
iis
,
TABLE i.-TRAVERSE TABLE. t::I
~
38~0.
38°.
Lat. Dep. ~ - -------
,
, ;
I 2 3 4 6 6 7 8 9 10
0.79 1.58 2.36 3.15 3.94 4.73 6.52 6.30 7.09 7.88
0.62 1.23 1.85 2.46 3.08 3.69 4.31 4.93
11 12 13 14 15 16 17 18 19 20
8.67 9.46 10.24 11.03 11.82 12.61 13.40 14.18
Lat.
Dep.
Lat.
t::I
38~0.
i I
Dep. I Lat.
Dep.
i'" !i
--- --- --- ---I --- --- - -
6.16
0.79 1.57 2.36 3.14 3.93 4.71 5.50 6.28 7.07 7.85
0.62 1.24 1.86 2.48 3.10 3.71 4.33 4.95 5.57 6.19
0.78 1.57 2.35 3.13 3.91 4.70 6.48 6.26 7.04 7.83
8.64 9.42 10.21 10.99 11.78 12.57 13.35 14.14 14.92 15.71
6.81 7.43 8.05 8.67 9.29 9.91 10.52 11.14 11.76 12.38
8.61 9.39 10.17 10.96 11.74 12.52 13.30 14.09 14.87 15.65
6.~
I
38~0.
0.78 1.56 2.34 3.12 3.90 4.68 6.46 6.24 7.02 7.80
0.63 1. 21; 1.88 2.50 3.13 3.76 4.38 5.01 5.63 6.26
1 2 3 4 6 6 7 8 9 10
6.85 7.47 8.09 8.72 9.34 9.96 10.58 11.21 11.83 12.45
8.58 9.36 10.14 10.92 11. 70 12.48 13.26 14.04 14.82 15.60
6.89 7.51 8.14 8.76 9.39 10.01 10.64 11.27 11.89 12.52
11 12 13 14 15 16 17 18 19 20
0.62 ' 1.25 1.87 2.49 3.11 3.74 4.36 4.98 5.60 6.23
15.76
6.77 7.39 8.00 8.62 9.23 9.85 10.47 11.08 11.70 12.31
21 22 23 24 25 26 27 28 29 30
16.55 17.34 18.12 18.91 19.70 20.49 21. 28 22.06 22.85 23.64
12.93 13.64 14.16 14.78 15.39 16.0l 16.62 17.24 17.85 18.47
16.49 17.28 18.06 18.85 19.63 20.42 21. 20 21.99 22.77 23.56
13.00 13.62 14.24 14.86 15.48 16.10 16.72 17.33 17.95 18.67
16.43 17.22 18.00 18.78 19.57 20.35 21.13 21. 91 22.70 23.48
13.07 13.70 14.32 14.94 15.56 16.19 16.81 17.43 18.05 18.68
16.38 17.16 17.94 18.72 19.50 20.28 21.06 21.84 22.62 23.40
13.14 13.77 14.40 15.02 15. C>5 16.27 16.90 17.53 18.16 18.78
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
24.43 26.22 26.00 2fl.79 27.58 28.37 29.16 29.94 30.73 31.52
19.09 19.70 20.32 20.93 21.55 22.16 22.78 2.1.40 24.0l 24.63
24.34 26.13 25.92 26.70 27.49 28.27 29.06 29.84 30.63 31.41
19.19 19.81 20.43 21.05 21. 67 22.29 22.91 23.53 24.14 24.76
24.26 26.04 26.83 26.61 27.39 28.17 28.96 29.74 30.52 3l.30
19.30 19.92 20.64 21.17 21. 79 22.41 23.03 23.66 24.28 24.90
24.18 24.96 26.74 26.52 27.30 28.08 28.86 29.64 30.42 31.20
19.40 20.03 20.66 21.28 21. 91 22.53 23.16 2:1.79 24.41 25.04
31 32 33 34 35 36 37 38 39 40
41
32.31 33.10 3.3.88 34.67 35.46 36.25 37.04 37.82 3!I.61 39.40
32.20 32.98 33.77 34.55 35.34 36.12 36.91 37.70 38.4.'! 39.27
26.38 26.00 26.62 27.24 27.86 28.48 29.10 29.72 30.34 30.95
32.09 32.87 33.65 34.43 35.22 36.00 36.78 37.57 38.35 39.13
25.52 26.15 26.77 27.39 28.01 28.64 29.26 29.88 I 30.,,0 I 31. 13 1
31.98 32.76 33.64 34.31 35.09 35.87 36.65 37.43 38.21 38.99
25.66 26.29 26.91 27.64 28.17 28.79 29.42 30.04 30.67 31.30
Lat.
Dep.
42 43
44 45 46 47 48 49 50
--
J .!I
A
14.97
26.24 25.86 26.47 27.09 27.70 28.32 28.94 29.55 30.17 3(). 78 - - ---
Dep. 62°.
Lat.
I
41
42 43
44
45 46 47 48 4!1 50
- - - - - -I - - - --- - -
Dep·l~ ! 51~io.
I 84
Dep.
51~0.
I I I
Lat.
5U.o.
8
~ .l!I
A
'!'ABLE f.-TRAVERSE TABLE. t:I Ir
38°.
38)4°.
381,4°.
38J.i°.
g t)
SO
t:I
IE
it
Dep.
Lat.
Lat.
Dep.
Lat.
Dep.
- - --- - - --- --- --- ---
"1i Lat. Dep. - - - - - --
31. 40 32.01 32.53 33.25 33.86 34.48 35.09 35.71 36.32 36.94
40.05 40.84 41. 62 42.41 43.19 43.98 44.76 45.55 46.33 47.12
31. 57 32.19 32.81 33.43 34.05 34.67 35.29 35.91 36.53 37.15
39.91 40.70 41. 48 42.26 43.04 43.83 44.61 45.39 46.17 46.00
31. 75 32.37 32.99 33.62 34.24 34.86 35.48 36.11 36.73 37.35
119.77
00
40.19 40.98 41. 76 42.55 43.34 44.13 44.92 45.70 46.49 47.28
40.55 41. 33 42.11 42.89 43.67 «.45 45. 23 46.01 46.79
31.92 32.55 33.17 33.80 34.43 35.05 35. liB 36.30 36.93 37.56
51 62 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 liB 69 70
48.07 48.86 49.64 SO. 43 51. 22 62.01 62.80 53.58 54.37 505.16
37.56 38.17 38.79 39.40 40.02 40.63 41.25 41.86 42.48 43.10
47.90 48.69 49.47 SO. 26 51.05 51.83 52.62 53.40 54.19 54.97
37.76 38.38 39.00 39.62 40.24 40.86 41. 48 42.10 42.72 43.34
47.74 48.62 49.30 SO. 00 SO. 87 51. 65 52.43 53.22 54.00 54.78
37.97 38.60 39.22 39.84 40.46 41.09 41. 71 42.33 42.95 43.58
47.57 48.35 49.13 49.91 SO. 69 51. 47 52.25 53.03 53.81 54.59
38.18 38.81 39.43 40.06 40.69 41.31 41. 94 42.56 43.19 43.81
61 62 53 64 65 66 67 liB 69 70
71 72 73 74 75 76 77 78 79 80
55.95 56.74 57.62 88.31 li9.10 li9.89 60. liB 61. 46 62.25 63.04
43.71 44.33 44.94 45.66 46.17 46.79 47.41 48.02 48.64 49.25
55.76 66.54 .'17.33 58.11 58.90 li9.1iB 60.47 61.25 62.04 62.83
43.96 44.57 45.19 45.81 46.43 47.05 47.67 48.29 48.91 49.53
505.57 66.35 57.13 57.91 58.70 li9.48 60.26 61. 04 61.83 62.61
44.20 44.82 45. 44 46.07 46.69 47.31 47.93 48.56 49.18 49.80
55.37 66.15 66.93 57.71 58.49 li9.27 60.05 60.83 61. 61 62.39
44.44 45.07 45.69 46.32 46.94 47.57 48.20 48.82 49.45 SO. 07
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
63.83 64.62 55.40 66.19 66.98 67.77 liB. 56 69.34 70.13 70.92
49.87 SO. 48 51.10 51.72 62.33 62.95 ' 53.56 54.18 54.79 55. 41
63.61 64.40 66.18 55.97 66.75 67.54 68.32 00.11 00.89 70.68
SO. 1.'1 SO. 77 51. 38 62.00 52.62 53. 24 53.86 54.48 55.10 55.72
63.39 64.17 64.96 66. 74 66.62 67.30 liB. 09 68.87 69.65 70.43
lIO.42 .'11.05 51. 67 62.29 62.91 58.54 54.16 54.78 55.40 66.03
63.17 63.95 64.73 66. 51 66.29 /)1.07 /)1.85 68.63 69.41 70.19
SO. 70 51.33 51.95 62.58 53.20 53.83 54.46 55.08 55.71 66.33
81 82 83 S4 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
71.71 72.50 73.29 74.07 74.86 75. 65 76.44 77.23 78.01 78.80
66.03 71.46 66. £>4 72.25 57.26 73.03 .'17.87 ! 73.82 58.49 I 74.61 li9.10 ! 75.39 li9.72 76.18 60.33 ; 76.96 60.95 77. 75 61.57 78.53
66.34 66.96 57.58 58.19 58.81 li9.43 60.05 so. 67 61. 29 61.91
71.22 72.00 72.78 73.57 74.35 75.13 75.91 76. 70 77.48 78.26
66.65 57.27 57.89 58.62 li9.14 li9.76 60.38 61.01 61.63 62.25
70.97 71.75 72.53 73.31 74.09 74. 87 75. 65 76. 43 77. 21 77.99
66.96 57.58 58.21 JIll. 84 li9.46 60.09 60.71 61.34 61.97 62.58
91 92 93 94 95 96 97 98 99 100
51 62 53 54
55 56 57 58 59
I
- - - - - --- - - - --- - - - - - - - - - ---
!l
Dep.
Lat.
Dep.
Lat.
Dtp.
~
~
i2 0 •
51J.i°.
51W·
85
Dep.
Lat.
I
Lat.
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-..,oJ ~
~
A
TABLE 4.-TBA.VERSE TA.BLE. 39·.
t:;
I!
39}i°.
0;-
St! ~
Dep.
Lat.
Lat.
I 2 3 4 5 6 7 8 9 10
0.78 1.05 2.33 3.11 3.89 4.66 5.44 6.22 6.99 7.77
0.63 1.26 1.89 2.52 3.15 3.78 4.41 5.03 5.66 6.29
0.77 1.05 2.32 3.10 3.87 4.65 5.42 0.20 0.97 7.14
11 12 13 14 15 16 17 18 19 20
8.05 9.33 10.10 10.88 11.66 12.43 13.21 13.99 14.77 15.54
6.92 7.05 8.18 8.81 9.44 10.07 10.70 11.33 11.00 12.69
21 22
16.32 17.10
13.22 13.85 14.47 15.10 15.73 16.36 16.99
17.87
0.63 1.27 1.90 2.53 3.16
t!
- - -"!"
4.43 6.00 5.69 6.33
1 2 3 4 5 6 7 8 9 10
8.52 9.29 10.07 10.84 11.62 12.39 13.16 13.94 14.71 15.49
6.96 7.59 8.23 8.86 9.49 10.12 10.76 11.39 12.02 12.65
8.49 9.26 10.03 10.80 11.57 12.35 13.12 13.89 14.66 15.43
7.00 7.63 8.27 8.91 9.54 10.18 10.81 11.45 12.09 12. 72
8.46 9.23 9.99 10.76 1\.53 12.30 13.07 13.84 14.61 15.38
7.03 7.67 8.31 8.95 9.59 10.23 10.87 11.51 12.15 12. 79
11 12 13 14 15 16 17 18 19 20
18.25 18.88
16.26 17.04 17.81 18.59 19.36 20.13 20.91 21.68 22.46 23.23
13.29 13.92 14.05 15.18 15.82 16. 45 17.08 17.72 18.35 18.98
16. 20 16.98 17.75 18.52 19.29 20.06 20.83 2\.61 22.38 23.15
13.36 13.99 14.63 15.27 15.90 16.54 17.17 17.81 18.45 19.08
1ft. 15 16.91 17.68 18.45 19.22 19.99 20.76 21.53 22.30 23.07
13.43 14.07 14.71 15.35 15.99 16.63 17.26 17.90 18.54 19.18
24 25 26 27 28 29 30
2C.Ol
24.78 25.05 26.33 27.10 27.88 28.65 29.43 30.20 30.98
19.61 20.25 20.88 21.51 22.14 22.78 23.41 24.04 24.68 26.31
23.92 24.69 25.46 26.24 27.01 27.78 28.05 29.32 30.09 30.86
19.72 20.35 20.99 21.63 22.26 22.90 23.53 24.17 24.81 25.44
23.83 24.60 25.37 26.14 26.91 27.68 28.45 29.22 29.98 30.75
19.82 20.46 21.10 21. 74 22.38 23.02 23.66 24.30 24.94 25.68
31 32 33 34 35 36 37 38 39 40
3\.64 32. 41 33.18 33.95 34.72 35.49
26.08 26.72 27.35 27.99 28. Co2 29.26 29.90 30.53 31.17
~22
31.~
31.62 32.29 33.00 33.83 34. flO 35.37 36.14 36.00 37.67 38.44
27.50 28.14 28.77 29.41 30.05 3O.C9 31.33 31. 97
41 42 43 44 45 46 47 48 49 50
Lat.
Dep.
Lat.
3.~
35 36 37 38 39 40
19.51 20.14 20.77 21.40 22.03 22.66 23.28 23.91 24.54 25.17
41 42 43 44 45 46 47 48 49 50
31.86 32.64 33.42 34.19 34.97 35.75 36.53 37.30 38.08 38.86
26.43 27.06 27.69 28.32 28.95 29.58 30.21 30.84 31.47
31.76 32.52 33.30 34.07 34.85 35.62 36.40 37.17 37.95 38.72
25.94 26.67 27.21 27.84 28. 47 29.10 29.74 30.37 31.00 31.64
Dep.
Lat.
Dep.
Lat.
A
.~
0.64 1.28 1.92 2.56 3.20 3.84 4.48 6.12 5.75 6.39
24.09 24. R7 25.65 26. 42 27.20 27.98 28.75 29.53 30.31 3\.09
8
Dep.
0.77 1.54 2.31 3.08 3.84 4.61 5.38 6.15' 6.92 7.69
31 32 33
~
Lat.
0.64 1.27 1.91 2.54 3.18 3.82 4.45 5.09 5.72 6.36
18.65 19.43 20.21 20.98 2\' 76 22.54 23.31
1-
Dep.
3914··
0.77 1.54 2.31 3.09 3.86 4.63 5.40 6.17 6.94 7.72
24 25 26' 27 28 29 30
34
Lat.
1
- - --- - - - ---
- - --- ---
23
Dep.
I
39Jio.
17.62
25.~
36.27 37.04 37.81
38.58
26.86
21 22
23
------ ------ --- --- --- - - - - ~
61·. t
...
Dep.
8t!
!l
5OJi••
~.
is
fABLE f.-TBAnRSI TABLI. -
I
39°.
t::1
iO
f
Lat.
Dep.
39)4°.
Lat.
Dep.
39l1io.
I
- - --- --- - - - - 51
32.ZT
Lat.
DI\P.
Lat.
Dep.
32.44 33.08 33.71 34.35 34.98 36.62 36.26 36.89 31.53 38.16
39.21 39.98 40.76 41.52 42.29
32.61
39.49
41.04 41.82 42.59 43.37 44.14 44.91 45.69 46.46
32.90 33.53 34.17 34.80 35.43 36.00 36.70 37.33 37.96
39.35 40.12 40.90 41.67 42.44 43.21 43.98 44.75 45.53 46.30
47.41 48.18 48.96 49.74 50.51 51.29 52.07 52.85 53.62 M.40
38.39 39.02 39.65 40.28 40.91 41.M 42.16 42.79 43.42 44.05
47.24 48.01 48.79 49.56 50.34 51.11 51.88 52.66 53.43 M.21
38.60 38.23 38.86 40.49 41. III 41. 70 42.39 43.02 43.66 44.29
47.07 47.84 48.61 49.38 50.16 50.93 51.70 52.47 53.24 M.01
71 72 73 74 75 76 77 78 79 80
55.18 55.95 56.73 57.61
58.29 59.00 59.84 60.62 61.39 62.17
44.68 45.31 45.94 46.67 47.20 47.83 48.46 49.09 49.72 50.35
M.98 55.76 56.53 57.31 68.08 68.85 59.63 50.40 61.18 61.95
44.92 45.55 46.19 46.82 47.45 48.09 48.72 49.35 49.98 50.62
81 82 83 84 85 86 87 88 89 90
62.95 63.73 64.50 65.28 66.00 66.83 67.61 68.39 139.17 69.94
50.97 61.60 52.23 52.86 63.49 54.12 M.75 55.38 56.01 56.64
62.73 83.m
91 92 93 94 95 96 97 98 99 100
70.72 71.50
61 62 63 64 f>5 66
67 68 G9 70
57.ZT
4O.ZT
04.ZT
65.05 65.82 66.60 67.37 68.15 /18.92 139.70
51
33.25
52
43.82 44.59 45.36 46.13
33.89 34.53 35.17 36.81 36.45 31.09 37.73 38.37
38.80 38.44 40.07 40.71 41.35 41.98 42.62 43.25 43.89 44.53
46.90 47.67 48.44 49.21 49.97 50.74 61. 51 52.28 53.05 53.82
38.01 38.65 40.28 40.11:1 41.56 42.20 42.84 43.48 44.12 44.76
61 62' 63 64 65 66 67 68 69 70
54.79 55.56 56.33 57.10 57.87 68.64 59.42 60.19 60.96 61.73
45.16 45.80 46.43 47.07 47.71 48.34 48.98 49.61 50.25 50.89
M.59 55.36 56.13 50.89 57.60 liS. 43 59.20 59.97 60.74 61.51
45.40 46.04 46.68 47.32 47.96 48.60 49.24 49.88 m.52 51.16
71 72 73 74 76 76 77 78 79 80
61.25 51.88 52. 51 63.15 63.78 M.41 55.05 55.68 66.31 56.94
62.50 114.04 114.82 65.59 66.36 67.13 67.90 68.67 139.45
51.52 52.10 52.79 63.43 M.07 M.70 55.34 55.f11 56.61 51.25
,62.28 63.04 63.81 64.68 65.36 66.12 66.89 67.66 68.43 69.20
61.79 52.43 63.07 53.71 M.35 54.99 55.63 66.91 57.55
81 82 83 84 85 86 87 88 89 90
57.88 68.52 59.10 59.79 60.43 61.06 61.70 62.34 62.97 63.61
69.96 70.73 71.50 73.04 73.81 74.68 75.36 76.12 76.88
58.19 58.83 59.47 60.11 60.75 61.39 62.03 62.67 63.30 63.94
91 92 93 94 95 96 97 98, 99 100
Lat.
.o,p.
Lat.
Ii
63.ZT
73.05 73.83 74.61 75.38 76.10 76.94 77.71
57.00 68.53 59.16 59.79 60.41 61.04 61.67 62.30 62.93
70.47 71.24 72.02 72.79 73.51 74.34 75.12 75.89 76.66 77.44
57. liS liS. 21 58.84 59.47 60.11 60.74 61.37 62.01 62.114
63.ZT
70.22 70.99 71.76 72.53 73.30 74.08 74.85 75.62 76.39 77.16
Dep.
Lat.
Dep.
Lat.
Dep.
72.ZT
J
--- - - --- --- --
32.10 32.72 33.35 33.98 34.01 35.24 35.87 36.50 37.13 37.76
53 M 55 56 67 68 59 60
t:;)
10
39.63 40.41 41.19 41.97 42.74 43.52 44.30 45.07 45.85 46.63
52
~o.
43.06
72.ZT
66.ZT
53 M 55 56 57 68 59 60
- - --- - - - --- - - - - - - --- --- --- -. ~ c
~
15
51°.
5()I.4 0 •
~
~o.
._.
..
Iii 4l
~
TABL£ '.-'l'RAVEBS£ 1'ABL2. 40 0•
II I g g Dep. Dep. Lat. Dep. Lat. Lat. Dep. Lat. li ~ ------ --- --- - - - --- - - - - - - - - '='
ID
4O~o.
4O~o.
'='
40"4°·
!
ID
-~
;
, ,
1 2 3 4 5 6 7 8 9 10
0.77 1.53 2.30 3.06 3.83 4.60 5.36 6.13 6.89 7.66
0.64 1.29 1.93 2.57 3.21 3.86 4. SO 5.14 5.79 6.43
0.76 1.53 2.29 3.05 3.82 4.58 5.34 6.11 6.87 7.63
0.65 1.29 1.94 2.58 3.23 3.88 4.52 5.17 5.82 6.46
0.76 1.52 2.28 3.04 3.80 4.56 5.32 6.08 6.84 7.60
0.65 1.30 1.95 2.60 3.25 3.90 4.55 5.20 5.85 6.49
0.76 1.52 2.27 3.03 3.79 4.55 5.30 6.06 6.82 7.58
0.65 1.31 1.96 2.61 3.26 3. 92 4.57 5.22 5.87 6.53
3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
8.43 9.19 9.96 10.72 11.49 12. 26 13.02 13.79 14. 55 15.32
7.07 7.71 8.36 9.00 9.64 10.28 10.93 11.57 12.21 12.86
8.40 9.16 9.92 10.69 11.45 12. 21 12.97 13.74 14.50 15.26
7.11 7.75 8.40 9.05 9.69 10.34 10.98 11.63 12.28 12.92
8.36 9.12 9.89 10.65 11.41 12.17 12.93 13.69 14.45 15.21
7.14 1.79 8.44 9.09 9.74 10.39 11.04 11.69 12.34 12.99
8.33 9.09 9.85 10.61 11.36 12.12 12.88 13.64 14.39 15.15
7.18 7.83 8.49 9.14 9.i9 10.44 11.10 11.75 12.40 13.06
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
16. 09 16.85 17.62 18.39 19.15 19.92 20.68 21.45 22.22 22.98
13. SO 14.14 14.78 15.43 16.Oi 16.71 17.36 18.00 18.64 19.28
16.03 16.79 17.55 18.32 19.08 20.61 21.37 22.13 22.90
13.57 14.21 14.86 15.51 16.15 16.80 17.45 18.09 18.74 19.38
15.97 16.73 17.49 18.25 19.01 19.77 20.53 21. 29 22.05 22.81
13.64 14.29 14.94 15.59 16.24 16.89 17.54 18.18 18.83 19.48
15.91 16.67 17.42 18.18 18.94 19.70 20.45 21. 21 21. 97 22.i3
13.71 14.36 15.01 15.67 16.32 16.97 17.62 18.28 18.93 19.58
23 24 25 26 27 28 29 30
31 ' 32 33 34 35 36 '37 38 39 40
23.75 :u.51 25.28 26.05 26.81 27.58 28.34 29.11 29.SS 30.64
19.93 20.57 21.21 21.85 22. SO 23.14 23.78 24.43 25.Oi 25.71
23.66 24.42 25.19 25.95 26.71 27.48 28.24 29.00 29.77 30.53
20.03 20.68 21.32 21.97 22.61 23.26 23.91 24.55 25.20 25.84
23.57 24.33 25.09 25.85 26.61 27.37 28.14 28.90 29.66 30:42
20.13 20.78 21.43 22.08 22.73 23.38 24.03 24.68 25.33 25.98
23.48 24.24 25.00 25. i6 26.51 27.27 28.03 28.79 29.55 30.30
20.24 20.89 21.54 22.U 22.85 23. SO 24.15 24.80 25.46 26.11
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 SO
31.41 32.17 32.94 33.71 34.47 35.24 36.00 36.77 37.54 38;30
26.35 27.00 27.64 28.28 28.93 29.57 30.21 30.85 31.50 32.14
31.29 32.06 32. 82 33.58 34.35 35.11 35.87 36.64 37.40 38.16
26.49 27.14 27.78 2843 29.08 29.72 30.37 31.01 31. 66 32.31
31.18 31. 94 32. 70 33.46 34.22 34.98 35.74 36. SO 37.26 38.02
26.63 27.28 27.93 28.58 29.23 29.87 30.52 31.17 31.82 32.47
31.06 31.82 32.58 33.33 34.09 34.85 35.61 36.36 37.12 37.88
26.76 27.42 28.07
41 42 43
29.37 30.03 30.68 31.33 31.99 32.64
45 46 47 48 49 SO
- - ---- -Dep.
i
Lat.
19.8~
,--
Dep.
A
21 22
4~
--- --- --- --- ----Lat.
Dep.
~
J!/
28.i2
1 2
Lat.
Dep.
Lat.
.,j. CJ
~
SO·.
49~0.
49"4··
88
49~·.
J!/
A
TABLE f.-TRAVERSE TABLE.
~
4014 0.
40 0 •
i
I
40)10.
I
Dep.
~
38.64 39.39 40.15 40.91 41. 67 42.42 43.18 43.94 44.70 45.45
33.29 33.94 34.00 35.25 35.90 36.66 37.21 37.86 38.51 39.17
61 62 53 64 66 56 67 58 59 00
39.82
41. 56 42.21 42.86 43.51 44.16 44.81 45.46
46.21 46.97 47.73 48.48 49.24 50.00 50.76 61. 51 52.27 53.03
41.12 41. 78 42.43 43.08 43.13 44.39 45.04 46.69
61 62 63 64 66 66 67 68 69 70
53.99 64.75 66.61 66.27 67.03 57.79 58.66 59.31 60.07 00.83
48.11 46.76 47.41 48.06 48.71 49.36 00.01 00.66 61.31 61.96
53.79 64.64 66.30 56.06 56.82 67.57 58.33 59.09 59.85 00.61
46.35 47.00 47.66 48.30 48.96 49.61 00.26 50.92 61.57 62.22
71 72 13 74 75 76 77 78 79 80
61.59 62.35
62.61 53.26 53.90 64.66 65.20
61.36 62.12 62.88 63.64 64.39
62.87 53.53 64.18 64.83 66.48
81 82 83 84 85
~:~t
;:79
9l
Lat.
Dep.
Lat.
51 62 53 64 66 56 57 58 59 00
39.07 39.83 40.00 41.37 42.13 42.90 43.66 44.43 45.20 45.96
32.78 33.42 34.07 34.71 35.36 36.00 36.64 37.28 37.92 38.57
38.92 39.69 41.21 41.98 42.74 43.50 44.27 45.03 45. 79
32.95 33.00 84.24 34.89 35.64 36.18 36.83 37.48 38.12 38.77
38.78 39.64 40.:10 41.06 41.82
61 62 63 64 66 66 67 68 69 70
46.73 47.49 48.26 49.03 49.79 50.56 61.32 52.09 62.86 53.62
39.21 39.86 40.50 41.14 41. 78 42.42 43.07 43.71 44.35 45.00
46.66 47.82 48.08 48.85 49.61 50.37 51.14 51.90 52.66 53.43
39.41 40.06 40.71 41.35 42.00 42.64 43.29 43.94 44.58 46.23
46.38 47.15 47.91 48.67 49.43 00.19 00.95 51. 71 52.47 53.23
39.62
71 72 73 74 75 76 77 78 79 80
64.39 66.16 66.92 66.69 57.45 58.22 58.99 59.75 00.52 61.28
45.64 48.28 46.02 47.57 48.21 48.86 49.49 50.14 69.78 61.42
64.19 64.95 66.72 66.48 57.24 58.01 58.77 59.53 00.30 61.06
45.87 46.62 47.17 47.81 48.46 49.11 49.75 50.40 51.04 51.69
81 82 83 84 86 86 87 88 89 90
62.05 62.82 53.58 64.35 65.11
62.07 52.71 53.35 53.99 64.64
61.82 62.59 63.35
62.34 62.98 53.63 64.27 64.92
63.11
91 92 93 94 OS,
96 97 98' 99 100
::~5 M:~
I
67.41 68.18 68.94
66.57 57.21 57.85
69.71 70.48 71.24 72.01 72.77 13.64 74.31 75.07 75.84 76.00
liR.49 59.14 59.78 00.42 61.06 61.71 62.35 62.99 63.64 64.28
~.64
66.40
::~i
!D
Lat.
Dep.
:Ji
t:I
It
Lat.
40.45
~o.
42.58
43.34 44.10 44.86 45.62
63.87 64.63
Dep. 33.12 33.77 34.42 35.07 35.72 36.37 37.02 37.67 38.32 38.97
40.27 40.92
~:~: ~:~
I
m.16 67.93 68.69
66.86 67.51 68.16
66.92 67.68
68.44
67.15 67.80 68.45
66.07 m.42 68.18
69.45 70.22 70.98 71.74 12.51 13.27 74.03 74.80 76.66 76.32
58.80 59.44 00.09 00.74 61.38 62.03 62.67 63.32 63.97 64.61
69.20 69.96 70.72 71.48 72.24 13.00 73.76 74.62 75.28 76.04
59.10 59.75 00.40 61. 05 61. 70 62.35 63.00 63.66 64.30 64.94
68.94 69.70 70.45 71.21 71. 97 72.73 73.48 74.24 75.00 75. 76
40.47
57.44
MI. 10
58.75
59.40 00.05 00.71 61.36 62.00 62.66 63.32 63.97 64.02 85.28
~
88 89 90 91 92 93 04 95 96 97 98 99 100
- - --- --- - - - --- - - - - - - - - - --- - .;
I
j" .!l
A
Dep.
Lat. 00 0 •
Dep.
Dep.
Lat.
~o.
Lat.
49~0.
89
Dep.
Lat.
~o.
i
.!l
A
'lABLB 4.-TIU.VBBSI 'lABLE.
~
~
!"
410.
Lat.
41~0.
Dep.
Lat.
I
I
Dep.
41~0.
Lat.
Pep.
Lat.
.~ t:t
41~0.
Dep.
!"
------ ------ ------1---1 2 3
6.79 7.55
0.66 1.31 1.97 2.62 3.28 3.94 4.59 6.U 0.90 6.56
0.76 1.50 2.26 3.0l 3.76 4.51 0.26 6.01 6.77 7.52
0.66 1.32 1.98 2.64 3.30 3.96 4.62 0.27 0.93 6.59
0.75 1.50 2.U 3.00 3.74 4.49 6.24 0.99 6.74 7.49
0.66 1.33 1.99 2.66 3.31 3.98 4.64 5.30 5.96 6.63
0.75 1.49 2.24 2.98 3.73 4.48 0.22 6.97 6.7l 7.46
0.67 1.33 2.00 2.66 3.33 4.00 4.66 6.33 0.99 6.66
6 6 7 8 9 10
12 13 14 15 16 17 18 19 20
8.30 9.06 9.81 10.57 11.32 12.08 12.83 13.68 14.34 16.00
7.22 7.87 8.53 : 18 9. 9.84 1 10.50 , 11.15 I 11.81 ' 12.47 13.12
8.27 9.02 9.77 10.53 11.28 12.03 12.78 13.53 14.28 16.04
7.U 7.91 8.57 9.23 9.89 10.55 11.21 11.87 12.53 13.19
8.24 8.99 9.74 10.49 11.23 11.98 12.73 13.48 14.23 14.98
7.29 7.95 8.61 9.28 9.94 10.60 11.26 11.93 12.59 13.U
8.21 8.95 9.70 10.44 11.19 11.94 12.68 13.43 14.18 14.92
7.32 7.99 8.66 11.32 11.99 10.66 11.32 11.9\1 12.65 13.32
11 12 13 14 15 16 17 18 19 20
21 22 23 24 U 26 27 28 29 30
16.86 16.60 17.36 18.11 18.87 19.62 20.38 21.13 21.89 22.64
13.78 14.43 15.09 15.76 16.40 17.00 17.7l 18.37 19.03 19.G8
10.79 16.54 17.29 18.04 18.80 19.55 20.30 21.05 21.80 22.56
13.86 14.51 15.16 16.82 16.48 17.14 17.80 18.46 19.12 19.78
16. 73 16.48 17.23 17.97 18.72 19.47 20.22 20.97 21. 72 22.47
13.92 14.68 16.24 16.90 16.57 17.23 17.89 18.55 19.22 19.88
Ii. 67 16.41 17.16 17.91 18.66 19.40 20.14 20.89 21.64 22.38
13.98 14.66 15.32 16.98 16.66 17.31 17.98 18.64 19.31 19.98
21 22 23 24 U 26 27 28 29 30
31 32 33 34 35 36 37 38
20.34 20.99 21.66 22.31 22.96 23.62 24.27 24.93 U.59 26.24
23.31 24.06 24.81 U.56 26.31 27.f1l 27.82 28.57 29.32 3O.f1l
20.44 21.10 21. 76 22.42 23.08 23.74 24.40 U.06 U.7l 26.37
113.22 23.111 24.72 U.46 26.21 26.96 27.71 28.46 29.21 29.96
~.54
21.20 21.87 22.53 23.19 23.86 24.52 U.18 26.84 26.50
23.13 23.87 24.62 26.37 26.11 26.86 27.60 28.35 29.10 29.84
~.64
21.31 21. 97 22.64 23.31 23.97 24.64 25.30 26.97 26.64
31 32 33 34 35 36 37 38
39 40
23.40 24.15 24.91 U.66 26.41 27.17 27.92 28.68 29.43 30.19
41 42 43 44 45 46 47 48 49 50
30.94 31. 70 32.46 33.21 33.96 34.72 35.47 36.23 36.98 37.74
26.90 27.55 28.21 28.87 29.52 30.18 30.83 31. 49 32.15 32.80
80.83 31.68 32.33 33.08 33.83 34.68 36.34 36.09 36.84 37.59
27.03 27.69 28.35 29.01 29.67 30.33 30.99 31.66 32.31 32.97
30.71 81.46 32.21 32.96 33.70 34.45 35.20 35.95 36.70 37.45
27.17 27.83 28.49 29.16 29.82 30.48 31.14 31.81 32.47 33.13
30.59 31.33 32.08 32.83 33.67 34.32 35.06 36.81 36.56 37.30
27.30 27.97 28.63 29.30 29.97 30.63 31.30 31.96 32.63 33.29
8
Dep.
1 2 3 4 5 6 7 8 9 10
0.75 1.61 2.26 3.02 3.77 4.53 6.28
II
6.04
"
39
40 41 42 43 44 .f.5
46 47 48 49
ro
- - --- - - - - - - - - --- --- --- - - - - -
. A
S"
Lat. 4\1 0.
Dep.
Lat.
Dep.
~o.
~
QO
Lat.
..
Dep.
Lat.
8
j t8J4;0,
.!I
A
TABLB 4.-TIU.VEB8B TABLB. t:I
41~0.
41°.
Ii
4Uio.
41W·
t:I ;;;
g - - --- --- - - - - - - --- - - - --- ---- -
~
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Ii
51 62 53 54 65 66 67 58 59 60
38.49 39.24 40.00
33.46 34.12 34.77 36.43 36.08 36.74 37.40 38.05 38.71 39.36
36.34 39.10 39.85 40.60 41.36 42.10 42.85 43.61 44.36 46.11
33.63 34.29 34.95 36.60 36.26 36.92 37.68 38.24 38.90 39.66
38.20 38.95 39.69
38.05 38.79 39.54 40.29 41.03 41. 78 42.53 43.27 44.02 44.76
33.96 34.63 36.29 36.96 36.62 37.29 37.96 38.62 39.29 39.95
61 52 53
41.19 41. 94 42.69 43.44 44.1g 44.94
33.79 34.46 36.12 36.78 36.44 37.11 37.77 38.43 39.09 39.76
65 56 57 58 59 60
61 62 63
46.04 46.79 47.65 48.30 49.06 49.81 60.67 61.32 52.07 52.83
40.02
46.86 46.tll 47.37 48.12 48.87 49.62 60.37 51.13 51.88 52.63
40.22 40.88 41.54 42.20
46.51 46.26 47.00 47.75 48.49 49.24 49.99 60.73 51.48 62.22
61
43.52 44.18 44.84 46.49 46.16
40.42 41.08 41.75 42.41 43.07 43.73 44.40 46.06 46.72 46.38
40.63
42.86
46.69 46.44 47.18 47.93 48.68 49.43 60.18 60.93 61. 68 62.43
46.81 47.47 48.13 48.79 49.46 60.11 60.77 61.43 52.09 62.75
53.18 53.92 54.67 65.42 56.17 56.92 57.67 68.42 59.17 59.92
47.05
50.36
62.97 53.72 54.46 65.21 65.95 5tI.70 57.46 58.19 68.94 59.68
47.28 47.94 48.01 49.28 49.94 SO. 61 51.27 61.94 52.60 53.27
71 72 73 74 75 76 77 78 79 80
53.67 54.33 65.00 65.66 66.32 56.99 57.65 58.31 68.97 59.64
60.43 61.18 61.92 62.67 63.41 64.16 64.91 65.65
53..94 54.60 65.27 65.93 56.60 57.27 57.93 58.60 59.26 59.93
81 82 83 84
00.30 60.96 91. 62 62.29 62.95 63.61 64.27 64.94 65.60 66.26
67.89 68.64 00.38 70.13 70.88 71.62 72.37 73.11 73.86 74.M
60.60 61. 26 61.93 f>2.59
91 92 03
64 65 66 67 68 69 70
40.76 ~.61
42.26 43.02 43.77 44.53
45.28
40.68
41.33 41.99
42.64
43.30 43.96 44.61 46.27 46.92
40.44
53..58 54.34 66.09 65.85 56.00 57.36 58.11 58.87 59.62 60.38
46.68 47.24 47.89 48.65 49.20 49.86 60.52 51.17 51. 83 52.48
53..38 54.13 54.88 65.f>4 56.39 57.14 57.89 68.64
63.14 53.80 54.46 65.11 65.77 66.42 57.08 67.73 68.39
00.90 61.65 62.40 t>~.16
53.. 41 54.07 54.73 65.39
86 87 88 89 90
61.13 61.89 62.64 63.40 64.15 64. 91 65.66 66.41 67.17 67.92
59.05
63.91 64.66 65.41 00.16 66.91 G7.67
66.70 57.36 68.02 58.68 69.34
60.67 61.41 62.16 62.91 63.66 64.41 65.16 65.91 66.66 67.41
91 92 93 94 95 96 97 98 99 100
68.68 69.43 70.19 70.91 71.70 72.46 73. 21 73.96 74. 72 76.47
69.70 00.36 61.01 61. 67 62.3.1 62.9H 63.64 64.29 64.95 65.61
68.42 69.17 69.92 70.67 71.43 72.18 72.93 73.68 74.43 75.18
60.00 60.66 61.32 61.98 62.64 63.30 fl3.96 64.62 65.28 65.93
68.16 68.90 00.66 70.40 71.16 71.90 72.65 73.40 74.16 74.90
71 72 73 74 75 76 77 78
79 80 81 82 83 84
85
59.40
60.16
M.M
47.71 48.37 411.03 49.70
51.02 51.68 52.35 53..01
66.40 67.16
41.28 41.95
42.62
43.28 43.95 H.61 45.28 45.95 46.61
r.a.26
63.92 64.59 66.26 66.92 66.59
54
63 63
64 65 66 67 68 69 70
85 86 87 88 89 90
94 95 96 97 98 99 100
- - --- - - - - - - --- - - - --- - - - --- - -
8
i
A
Dep.
Lat. 49°.
Dep.
Lat.
4~0.
Dep.
Dep.
Lat.
48311°.
I
J.at.
48~0.
8
~
A
TABI,E f.-TRAVERSE TABLE. I::l
42~0.
42°.
~
42J.i°.
g ~
Lat.
Dep.
Lat.
Lat.
Dep.
I
Dep.
t:I
421,4°.
Lat.
~
Dep.
SCI ()
l"
- - --- --- --- --- --- --- - - - -- I 2 3 4 5 6 7 8 9 10
O.H 1.49 2.23 2.97 3.72 4.46 5.20 5. 95 6.69 7.43
0.67 1.34 2.01 2.68 3.35 4.01 4.68 5.35 6.02 6.69
0.74 1.48 2.22 2.96 3.70 4.44 5. It! 5.92 6.66 7.40
0.07 1.34 2.02 2.69 3.36 4.03 4.71 5.38 0.05 0.72
0.74 1.47 2.21 2.95 3.69 4.42 5.16 5.90 6.64 7.37
0.68 1.35 2.03 2.70 3.38 4.05 4.73 5.40 6. OS 6.76
0.73 1. 47 2.20 2.94 3.67 4.41 5.14 5.87 6.01 7.34
0.68 1.36 2.04 2.72 3.39 4.07 4.75 5.43 6.11 6.79
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
8.17 8.92 9.66 10.40 11.15 11.89 12.03 13.38 14.12 14.86
7.36 8.03 8.70 9.37 10.04 10.71 11.38 12.04 12.71 13.38
8.14 8.88 9.62 10.36 11.10 11.84 12.58 13.32 14.06 14.86
7.40 8.07 8.74 9.41 10.09 10.76 11. 43 12.10 12.77 13.45
8.11 8.85 9.58 10.32 11.06 11.80 12.53 13.27 14.01 14. 75
7.43 8.11 8.78 9.40 10.13 10.81 11.49 12.10 12.84 13.51
8.08 8.81 9.55 10.28 11.01 11.75 12.48 13.22 13.95 14.69
7.47 8.15 8.82 9.50 10.18 10.86 11.54 12.22 12.90 13.58
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
15.61 16.35 17.09 17.84 18. 58 19.32 20.06 20.81 21. 55 22.29
14.05 14.72 15.39 10.06 16.73 17.40 18. 07 18. 74 19.40 20.07
15.54 16.28 17.03 17.77 18. 51 19.25 19.99 20.73 21. 47 22.21
14.12 14.79 15.46 16.14 16.81 17.48 18.15 18.83 19.50 20.17
15.48 10.22 16.96 17.69 18.43 19.17 19.91 20.64 21.38 22.12
14.19 14.86 15.54 16.21 16.89 17.57 18. 24 18.92 19.59 20.27
15.42 16.16 16.89 17.02 18.36 19.09 19.83 20.56 21. 30 22.03
14.25 14.93 15. 61 16.29 1ft 97 17.65 18.33 19.01 19.69 20.36
21 22 23 24 25 26 27 28 29. 30
31 32 33 34 35 36 37 38 39 40
23.04 23.78 24.52 25.27 26.01 26. 75 27.50 28.24 28.98 29.73
20.74 21.41 22.08 22.75 23.42 24.09 24.76 25.43 26.10 26.77
22.95 23.69 24.43 25.17 25.91 26.65 27.39 28.13 28.87 29.61
20.84 21. 52 22.19 22.86 23.53 24.21 24.88 25.55 26.22 26.89
22.86 23.59 24.33 25.07 25.80 26.54 27.28 28.02 28.75 29.49
20.94 21.62 22.29 22.97 23.65 24.32 25.00 25.67 26.35 27.02
22.76 23.50 24.23 24.97 25.70 26.44 27.17 27.90 28.64 29.37
21.04 21.72 22.40 23.08 23.76 24.44 25.12 25.79 26.47 27.15
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49, 50
30.47 31.21 31.96 32.70 33.44 34.18 34.93 35.67 36.41 37.16
27.43 28.10 28.77 29.44 30.11 30.78 31. 45 32.12 32.79 J3.40
30.35 31.09 31.83 32.57 33.31 34.05 34.79 35.53 36.27 37.01
27.57 28.24 28.91 29.58 30.26 30.93 31. 6C 32.27 32.95 33.62
30.23 30.97 31.70 32.44 33.18 33.91 34.05 35.39 36.13 36.86
27.70 28.37 29.05 29.73 30.40 31.08 31.75 32. 43 33.10 33.78
30.11 30.84 31. 58 32.31 33.04 33.78 34.51 35.25 35.98 36.72
27.83 28. 51 29.19 29.87 30.55 31.22 31.90 32.58 33.26 33.94
41 42 43 44 45 46 47 48
Dep.
Lat.
- - - --- - - - - - -
~'"
~
Lat.
Dep. 48·.
Dep.
--- - - - --- --- -
Lat.
47~0.
Dep.
I
I 92
Lat.
47J.i°.
47~o.
49
50
i
.l!l
A
TABLE 4.-TRAVERSE TABLE.
, t;j
f
42},0.
42°.
!iI"
42}i°.
~'O.
t:l
!iI"
J
~
Lat.
61 62 53 04 65 56 57 68 69 00
37.90 38.64 39.39 40.13 40.87 41.62 42.36 43.10 43.85 44.69
34.13 34.79 35.46 36.13 36.80 37.47 38.14 38.81 39.48 40.15
37.75 38.49 39.23 39.m 40.71 41.45 42.19 42.93 43.67 44.41
34.29 34.00 35.64 36.31 36.98 37.65 38.32 39.00 39.67 40.34
37.00 38.34 39.08 39.81 40.55 41.29 42.02 42.76 43.50 44.24
34.46 35.13 35.81 3u. 48 37.16 37.83 38.51 39.18 39.86 40.54
37.45 38.18 38.92 39.65 40.39 41.12 41.86 42.59 43.33
44.06
34.62 35.30 35.98 36.66 37.;l3 38.01 38.69 39.37 40.05 40.73
51 62 53 04 65 56 67 68 69 00
61 62
40.82 41.49 42.16 42.82 43.49 44.16 44.83 45. 50 4G. 171 46.84
45.15 45.89 46.63 47.37 48.11 48.85 49.69 50.33 51.08 51.82
41.01 41.69 42.36 43.03 43.70 44.38 45.05 45.72 46.39 47.07
44.97 45.71 46.45 47.19 47.92 48.66 49.40 50.13 50.87 51.61
41.21 41.89 42.56 43.24 43.91 44.69 45.26 45.94 46.62 47.29
44.79 45.53 46.26 47.00 47.73 48.47 49.20 49.93 50.67 61.40
41. 41 42.09 42.76 43.44 44.12 44.80 45.48 46.16 46.84 47.62
61 62
64 65 66 67 68 69 70
46.33 46.07 46.82 47.56 48.30 49.05 49.79 50.53 51.28 62.02
64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
52.76 63.61 04.25 04.99 55.74 56.48 57.22 57.97 68.71 69.45
47.61 48.18 48.85 49.52 50.18 50.85 51.62 52.19 62.86 53.53
62.56 53.30 04.04 04.78 55.62 56.28 57.00 67.74 68.48 69.22
47.74 48.41 49.08 49.76 50.43 61.10 51. 77 62.44 53.12 53.79
62.36 63.08 63.82 04.56 55.30 56.03 56.77 67.51 68.24 68.98
47.97 ; 48.64 ' 49.32 49.99 50.67 61.34 62.02 62.70 53.37 04.05
62.14 62.87 53.61 04.34 55.07 55.81 66.04 67.28 68.01 68.75
48.19 48.87 49.55 50.23 50.91 61. 69 62.27 62.95 53.63 04.30
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
00.19 00.94 61.68 62.42 63.17 63.91 64.65 65.40 66.14 66.88
04.20 04.87 55.54 66.21 66.88 57.55 68.21 68.88 69.55 00.22
69.96 00.70 61.44 62.18 62.92
04.46 55.13 55.81 66.48 57.15 57.82 68.50 69.17 69.84 00.61
69.72 00.46 61.19 61. 9'J 62.67 63.41 64.14 64.88 65. 62 66.35
04.72 55.40 66.07 66.75 67.43 68.10 68.78 69.45 00.13 00.80
69.48 00.21 00.95 61.68 62.42 63.15 63.89 64.62 65.35 00.09
04.98 55.66 56.34 67.02 67.70 68.38 69.06 69.73 00.41 61.09
81 82 83 84 85 86 87 88 89 90
91 92 93 94 96 96 97 98 99 100
67.63 68.37 69.11 69.86 70.00 71.34 72.09 72.83 73.57 74.31
00.89 61.66 62.23 62.90 63.57 64.24 64.91 65.57 66.24 66.91
68.10 68.84 69.68 70.32 71.06 71.1K1 72.04 73.28 74.02
61.19 61.86 62.53 63.20 63.87 64.55 65.22 65.89 66.56 67.24
67.09 67.83 68.57 69.30 70.04 70.78 71.62 72.25 72.99 73.73
61.48 62.15 62.83 63.51 64.18 64.86 65.53 66.21 66.88 67.66
66.82 67.56 68.29 69.03 69.76 70.49 71. 23 71.96 72.70 73.43
61.77 62.45 63.13 63.81 64.49 65.16 65. 84 66.52 67.20 67.88
91 92 93 94 95 96 97 98 99 100
Dep.
Lat.
Dep.
Lat.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
- - --- --- --- --- ------ - - --- --
63
1-
J
!!l
A
63.06
64.40 65.14 65.88 66.62
67.36
63
------ - - - - - -, - - - - - - - - - - - - - 48°.
I
47"°.
I Dep. I,
93
47}i°.
47~0.
j A
TABLE f.-TRAVERSE TABLE.
t:!
..,~
!"
I
43°.
iF
Lat.
Dep.
43~0.
Lat.
43~0.
Dep.
Lat.
t:!
43~0.
Dep.
Lat.
iF
Dep.
~ ~
- - - - - - - - - - - - - - - - - - - - - - - - - -- I 2 3 4 5 6 7 8 9 10
0.73 1.46 2.19 2.93 3.66 4.39 5.12 5.85 6.58 7.31
0.68 1.36 2.05 2.73 3.41 4.09
11 12 13 14 15 16 17 18 19 20
5.46 6.14 6.82
0.73 1.46 2.19 2.91 3.64 4.37 5.10 5.83 6.56 7.28
0.69 1. 37 2.06 2.74 3.43 4.11 4.80 5.48 6.17 6.85
0.73 1.45 2.18 2.90 3.63 4.35 5.08 5.80 6.53 7.25
8.04 8.78 9.51 10.24 10.97 11.70 12.43 13.16 13.90 14.63
7.50 8.18 8.87 9.55 10.23 10.91 11.59 12.28 12.96 13.64
8.01 8.74 9.47 10.20 10.93 11.65 12.38 13.11 13.84 14.57
7.54 8.22 8. 91 9.59 10.28 10.96 11.65 12.33 13.02 13.70
7.98 8. 70 9.43 10.16 10.88 11.61 12.33 13.06 13.78 H.M
21 22 23 24 25 26 27 28 29 30
15.31\ 16.09 16.82 17.5.'; 18.28 19.02 19.75 20.48 21. 21 21.94
14.32 15.00 15.69 16.37 17.05 17.73 18.41 19.10 19.78 20.46
15.30 16.02 16.75 17.48 18.21 18.94 19.67 20.39 21.12 21.85
14.39 15.07 15.76 16.44 17.13 17.81 18.50 19.19 19.87 20.56
31 32 33 34 35 3(\ 37 38 39 40
22.67 23.40 24.13 24.87 25. (iO 26.33 27.06 27.79 28.52 29.25
21.14 21. 82 22.51 23.19 23.87 24.55 2.0.23 25.92 26.60 27.28
22.58 23.31 24.04 21.76 25.49 26.22 26.95 27.68 28.41 29.13
41 42 43 44 45 40 47 48 49 50
29.119 30.72 31.45 32.18 32.91 33.64 34.37 35.10 35.84 36.57
27.96 28.04 29.33 30.01 30.69 31.37 32.05 32.74 33.42 34.10
29.~6
Dep.
Lat.
4.n
1 2 3
0.72 1.44 2.17 2.89 3.61 4.33 5.06 5.78 6.50 7.22
0.69 1.38 2.07
8.2f\ 8.95 9.64 10.33 11. 01 11.70 12.39 13.08 13.77
7.95 8.67 9.39 10.11 10.84 11.56 12.28 13.00 13.72 14.45
7.61 8.30 8.99 9.68 10.37 11.06 11.76 12.45 13.14 13.83
19 20
15.23 15.96 16.68 17.41 18.13 18.86 19.59 20.31 21.04 21. 76
14. 46 15. It 15.83 16.52 17.21 17.90 18.59 19.27 19.96 20.65
15.17 15.89 16.61 17.34 18.06 18.78 19.50 20.23 20.95 21.67
14.52 15.21 15.90 16.60 17.29 17.98 18.67 19.36 20.05 20.75
21 22 23 24 25 26 27 28 29 30
21. 24 21.93 22.61 23.30 23.98 24.67 25.3.'; 26.04 26.72 27.41
22.49 23.21 23.94 24.66 2';.39 26.11 26.84 27.56 28.29 29.01
21. 34 22.03 22.72 23.40 24.09 24.78 25.47 26.10 26.85 27.53
22.39 23.12 23.84 24.56 25.28 20.01 26.73 27.45 28.17 28.89
21.44 22.13 22.82
31 32 33 34 35 36 37 38 39 40
30.59 31.32 32.05 32.78 33.51 34.23 34.96 35.69 36.42
28.09 28.78 29.46 30.15 30.83 31. 52 32.20 32.89 33.57 34.26
29.74 30.47 31.19 31. 92 32.64 33.37 34.09 34.82 35.04 36.27
28.22 28.91 29.60 30.29 30.98 31. 66 32.35 33.04 33.73 34.42
29.112 30.34 31.06 31. 78 32.51 33.23 33.95 34.67 35.W 36.12
Dep.
Lat.
0.69 1.38 2.07 2.75 3.44 4.13 4.82 5.51 6.~
6.88 7.~7
2.n
3.46 4.15 4.84 5.53 6.22 6.92
23.~1
24.20 24.89 25.59 26.28 26.97 27.66 28.35 29.04 29.74 30.43 31. 12 3UU 32.50 33.19 33.88
34.58
..5
6 7 8 9 10 11 12 13 14 15 16 17 1~
41 42 43 44 45 4U 47 48 49 50
- ---- --- --- --- --- --- --- --- --
i
A
47 0.
Dep.
Lat.
J>ep.
Lat.
i!l
!
46',40.
46~io.
94
46~0.
.5 A
TABLE 4.-TRA"ERSE TABLE. t:I
43~0.
43°.
!O
43~0.
t:I
43~0.
!O
g
f
Lat.
51 52 53 54 55 56 57 58 59 60
37.30 38.03 38. 76 39.49 40.22 40.96 41.69 42.42 43.15 43.88
61 62 63 64 65 66 67 68 69 70
44. 61 45.34 46.08 46.81 47.54
Dep.
Lat.
Dep.
Lat.
Dep.
- - --- - - - - - - - - - - - - - - -
Lat.
Dep.
~
--- - - - - 35.ZT
36.15 36.83 37.51 38.19 38.37 39.56 40.24 40.92
37.15 37.88 38.60 39.33 40.06 40.79 41. 52 42.25 42.97 43.70
34. 04 35.63 36.31 37.00 37.69 38. 37 39.06 39.74 40.43 41.11
36.99 37.72 38.44 39.17 39.90 40.62 41.35 42.07 42.80 43.52
35.11 35.79 36.48 37.17 37.86 38.55 39.24 39.92 40.61 41.30
36.84 37.56 38.20 39.01 39.73 40.45 41.17 41. 90 42.62 43.34
35.96 36.65 37.34 38.03 38.72 39.42 40.11 40.80 41.49
51 52 53 54 55 56 57 58 59 60
49.00 49.73 50.46 51.19
41.60 42.28 42.97 43.65 44.33 45.01 45.69 46.38 47.06 47.74
44.43 45.16 45.80 46.62 47.34 48. 07 48.80 49.53 50.26 50.99
41. 80 42.48 43.17 43.85 44.54 45.22 45.91 46.59 47.28 47.96
44.25 44.97 45.70 46.42 47.15 47.87 48.60 49.33 50.05 50.78
41. 99 42.68 43.37 44.05 44.74 45.43 46.12 46.81 47.50 48.18
44.06 44. 79 45.51 46.23 46.95 47.68 48.40 49.12 49.84 50.57
42.18 4287 43.57 44.26 44.95 45.64 46.33 47.02 47.71 48.41
61 62 63 64 65 66 67 G8 69 70
71 72 73 74 75 76 77 78 79 80
51.93 52.66 53.39 54.12 54.85 55.58 56.31 57.05 57.78 58. 51
48.42 49.10 49.79 50.47 51.15 51.83 52.51 53.20 53.88 54.56
51.71 52.44 53.17 53.90 54.63 55.36 56.08 56.81 57.54 58.27
48.65 49.33 50.02 50.70 51.39 52.07 52.76 53.44 54.13 54.81
51.50 52.23 52.95 53.68 54.40 55.13 55.85 56.58 57.30 58.03
48.87 49.56 50.25 50.94 51.63 52.31 53.00 53.69 04.38 55.07
51.20 52.01 52.73 53.46 54.18 54.90 55.62 56.34 57.07 57.79
49.10 49.79 50.48 51.17 51.86 52.55 53.25 53.94 54.63 55.32
71 72 73 74 75 76
81 82 83 84 85 86 87 88 89 90
59.24 59.97 60.70 61.43 62.17 62.90 63.63 64.36 65.09 65.82
55.24 55.92 56.61 57.20 57.97 58.65 59.33 60.02 60.70 61.38
59.00 59.73 60.45 61.18 61. 91 62.64 63.37 64.10 64.82 65.55
55.50 56.19 56.87 57.56 58.24 58.93 59.61 60.30 60.98 61.67
58.76 59.48 60.21 60.93 61.66 62.38 63.11 63.83 64.56 66.28
55.76 56.45 57.13 57.82 58.51 59.89 60.58 61.26 e1.95
58.51 59.23 59.96 60.68 61.40 62.12 62.85 63.57 64.20 65.01
56.01 56.70 57.40 58.09 58.78 59.47 60.16 60.85 61.54 62.24
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
66.55 67.28 68.02 68.75 69.48 70.21 70.94 71.67 72.40 73.14
62.06 66.28 67.01 62.74 67.74 63.43 68.47 64.11 69.20 64.79 69.92 65.47 70.66 66.15 66.84 71.38 67.52 I 72.11 72.84 68.20
62.35 63.04 63.72 64. 41 65.09 65.78 66.46 67.15 67.83 68.52
66.01 66.73 67.46 68.19 68.91 69.64 70.36 71.09 71. 81 72.54
62.64 63·33 64.02 64. 71 65.39 66.08 66. 77 67.46 68.15 68.84
65.74 66.46 67.18 67.90 68.62 69.35 70.07 70.79 71. 51 72.24
62.93 63.62 64.31 66.00 66.69 66.39 67.08 67.77 68.46 69.15
91 92 93 94 95 96 97 98 99 100
Dep.
Lat.
48.ZT
34.78 35.46
5~.2O
- ------- ------ ------
i A
Dep. 47°.
Lat.
Dep.
Dep.
Lat.
Lat.
46~0.
46"4°.
95
46~0.
77
78 79 80
IJ
__ 1~ -
TABLE 4.-TBAVERSE TABLE.
~ ~:~
0.70 I 1.40,
0.71 1. 41 2.12 2.83 3.54 4.24 4.95 5.66 6.36 7.07
1 2 3 4 5 6 7 8 9 10
0.71 1.43 2.14 2.85 3.57 4.28 4.09 5.71 6. 42 7.13
0.70 1.40 2.10 2.80 3.50 4.21 4.91 5.61 6.31 7.01
0.71 1.42 2.13 2.84 3.55 4.26 4.97 5.68 6.39 7.10
0.70 1.41 2.11 2.82 3.52 4.22 4.93 5.63 6.34 7.04
0.71 1.41 2.12 2.83 3.54 4.24 4.95 5.66 6.36 7.f1l
7.88 8.60 9.31 10.03 10.74 11.46 12.18 12.89 13.61 /14.33
7.85 8.56 9.27 9.99 10.70 11.41 11.16 / 12.13 11.86 12.56 12.84 13.26 13.55 13.96 14.27
7.71 8.41 9.11 9.81 10.51 11.21 11. 92 12.62 13.32 14.02
7.81 8.52 9.23 9.94 10.65 11.36 12.07 12.78 13.49 14.20
7.74 8.45 9.15 9.86 10.56 11.26 11.97 12.67 13.38 14.08
7.78 8.49 9.19 9.90 10.61 11.31 12.02 12.73 13.44 14.14
7.78 11 8.49 12 9.19 13 0.90 14 10.01 15 11.31 16 12.02117
g:~
i:g
14.14
20
14.59 15.28 15.98 16.67 17.37 18.06 18.76 19.45 20.15 20.84
15. 04 15.76 16.47 17.19 17.91 18.62 19.34 20.06 20.77 21.49
14.65 15.35 16.05 16.75 17.44 18.14 18.84 19.54 20.24 20.93
14. 98 15. 69 16. 40 17.12 17.83 18.54 19.26 19.97 20.68 21.40
14.72 15. 42 16.12 16.82 17.52 18.22 18.92 19.63 20.33 21.03
14.91 15. 62 16.33 17.04 17.75 18.46 19.18 19.89 20.60 21.31
14.78 15. 49 16.19 16.90 17.60 18.30 19.01 19.71 20.42 21.12
14.85 15.56 16.26 10.97 17.68 18. 38 19.09 19. 80 20. 51 21. 21
14.85 15. 56 16.26 16.97 17.68 18. :;s 19.09 19.80 20. 51 21. 21
21 22 23 24 25 26 27 28 29 30
31 122.30 32 ;23.02 33 123.74 34 124.46 35125.18 36 25.90 37 26.62 38 27 33 . 39 128.05 4028.77
21. 53 22.23 22.92 23.62 24.31 25.01 25.70 26.40 27.09 27.79
22.21 22.92 23.64 24.35 125.07 25.79 26.50 27.22 27.94 28.65
21.63 22.33 23.03 23.72 24.42 25.12 25.82 26.52 27.21 27.91
22.11 22.82 23.54 24.25 24.96 25.68 26.39 27.10 27.82 28.53
21. 73 22.43 23.13 23.83 24.53 25.23 25.93 26.63 27.34 28.04
22.02 22.73 23.44 24.15 24.86 25.57 26.28 26.99 27.70 28.41
21.82 22.53 23.23 23.94 24.64 25.34 2(;.05 26.75 27.46 28.16
21. 92 22. 63 23.33 24. 04 24.75 25. 46 26.16 26. 87 27.58 28. 28
21. 92 22. 63 23.33 24. 04 24.75 25. 40 26. 16 26. 87 27.58 28. 28
31 32 33 34 35 36 37 38 39 40
41 129.49 42 130.21 43 j30.93
28.48 29.18 29.87 30.56 31.26 31.95 32.65 33.34 34.04 34. 73
29.37 30.08 30.80 31.52 32.23 32.95 33.67 34.38 35.10 35.82
28. 61 29.31
20.24 20.96 30.67 31. 38 32. 10 32. 81 33.52 34.24 34. 95 35. 66
28.74 20.44 30. 14 30.84 31. 54 32. 24 32.94 33. G4 34. 34 35. 05
20.12 20.83 , 30.54 i 31. 25 , 31. 96 ; 32. 67 1 33.38 I 34.09 134. 80 35. 51
28. 99 29.70 30.41 31. 11 31. 82 32. 53 33.23' 33.94 34. 65 35. 36
41 42 43 44 45 40 47 48 49 50
0.69 1.39 2.08 2.78 3.47 4.17 4.86 5.56 6.25 6.95
0.72 1.43 2.15 2.87 3.58 4.30 5.01 5.73 6.45 7.16
Ig iIi: ~~ 20 :14.39
7.64 8.34 9.03 9.73 10.42 11.11 11.81 12.50 13.20 13.89
21 15.11 2~ 15. 83 23 16.54 24 17.26 25 ,17.98 26 '18.70 27 ;19.42 28 120.14 29 20.86 30 '21.58
II
3 2.16 4 2.88 5 3.60 67 14.32 5.04 8 5.75 9 6.47 10 17.19 11 7.91 12 I 8.63 13 I 9.35 I! ,lO.07
, I:g I:n~ 17 112.23
rs I~U~
46 47 48 49 50
~
~
33.09 33.81 34.53 305.25 35.97
;;
~:~ i
3.49 4.19 4.88 5.58 6.28 6.98 7.68 8.37 9.07 9.77 10.47
' ' : ,
j
! I
~:!?O I
31.40 32.10 32.80 33.49 34.19 34.89
I
I
28.86 28.99 20.57 29.70 30.27 30.41 30.98 31. 11 31.68 31. 82 32.38 32. 53 33.09 33.23 33.79 33.94 34. 50 ,34. 65 35. 20 ! 35.36
~I ~ ~ -D-e-p-. -L-a-t.-I-D-e-p-. -L-a-t-. -D-ep-.
46°.
1
4534°.
1--45-'~-20-.96
45~0.
,
-La-t.--;
45°.
I
TABLB 4.-TIU. VERSE TABLE. t;;
!O
g ~
44°.
Lat.
61 52 63 M 56 56 57 58 59 60
36.69 37.41 38.13
~::
40.28 41.00 41. 72 42.44 43.16
61 62 63 64 66 66 67 68 69 70
43.88 44.60 45.32 46.04 46.76 47.48 48.20 48.92 49.63 60.35
71 72 73 74 75 76 77 78 79 80
51.07 51. 79 52.51 63.23 63.95
4472°.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Ii"
36.43 36.12 36.82 37.51 38.21 38.90 39. CO 40.29 40.98 41.68
36.63 137.25 37.96 38.68 39.40 40.11 40.83 41. 55 42.26 42.98
36.59 36.29 36.98 37.68 38.38 39.08 39.77 40.47 41.17 41.87
37.09 37.80 38.52 39.23 39.94 40.66 41.37 42.08 42.80
36.45 37.16 37.85 38.55 39.25 39.96 40.66 41.35 42.05
36.93 37.64 38.35 39.06 39.77 40.48 41.19 41. 90 42.61
36. 61 36.77 37.31 37.48 38.02 38.18 38.72 38 89 39.42 39. CO • 40.13 1 40.31 40.83 41.01 41. M 41. 72 42.24 42.43
36.77 37.48 38.18 38.89 39. CO 40.31 H.Ol 41. 72 42.43
52 63 M 55 Ii6 67 58 l\9 60
42.37 43.07 43.76 44.46 45.15 45.85
43.69 44.41 45.13
42.57 43.26 43.96 44. G6 45.36 46.05 46.75 47.45 48.15 48.85
43.51 44.22 44.93 45.66 46.36 47.07 47.79 48.60 49.21 49.93
42.76 43.32 43.46 44.03 44.16 44.74 44.86 45.45 45.56 46.16 46.26 46 87 46.96 1 47.58 . 47.66 48.29 48.36 49.00 49.06 49.71
42.94 43.13 43.65 43.84 44.36 44.56 4':'.06 46.25 45.76 45.96 46.46 46.67 47. 17 1 47.38 47.87 48.08 48.58 48.79 49.28 49.60
43.13 43.84 44.55 45.25 45.96 46.67 47.38 48.08 48.79 49.60
61 62 63 64 66 66 67 (8 69 70
49.M
60.64 51.35 52.07 52.78 63.49 64. 21
49.76 60.47 61.17 61.87 52.57 63.27 63.97
00.42 61.13 51.84 52.56 63.26 63.rn
50.20 60.91 51.62 52.33 63.03 63.74
55.63 56.35 67.06
M.67
55.13 55.82
55.37 56.07
55.39 56.10 55.81
4D.IKI 50.20 60.69 50.91 51.39 51. 62 62.10 52.33 62.80 63.03 63.51 , 63.74 54.21 I M.45 M.91 i 56.15 55.62 55.86 56.32 56.57
55.15 55.86 56.57
71 72 73 74 75 76 77 78 79 80
58.02 58.74 59.45 ro.17 ro.89 61. 60 ,62.32 03 ,63.75 64.47
56.52 57.22 57.92 58.61 59.31 60.01 60.71 61. 41 62.10 62.80
57.77 58.49 59.20 59.91 6O.fl3 61.34 62.05 62.77 63.48 64.19
56.77 57.47 58.18 58.88 69.58 60.28 60.98 61.68 62.38 63.08
57.63 58.24 58.95 59.66 60.37 61. 08 61. 79 62.50 63.21 63.92
67.03 67.73 58.43 69.14 69.84 60.55 61.25 61. 95 62.fl6 63.36
57.28 57.98 58.69 59.40 60.10 60.81 61.52 62.23 62.93 63.64
57.28 67.98 58.69 59.40 60.10 60.81 61. 52 62.23 62.93 63.64
82 83 84 85 86 87 88 89 90
64.07 64.77 65.47 66.18 66.88 67.59 68.29 68.00 69.70 70. 40
64.36 66.05 66.76 66.47 67.18 67.88 68.59 69.30 70.00 70. 71
64.3~ 91 66.05 92 65.76 93 66.47 94 67.18 95 67.88 96 68.59 97 69.30 98 70.00 IKI 70. 71 100
I
-- - - -36.38- -36.75- -36.22- -36.90- -36.06- -36.06- -51
~~.84 6.56 47.28
46.M 47 00 47.24 47.93 48.63
• 148.71
49 42 60.14 . 60.86 51 . 57 1 52.29 63.01 5.1.72
1
60.24 60.94 51. 64 52.33 63.03 63.73
M.92
M.43
M.68
81 ~.27 82 .71 83 ~:IKI 84 60.42 85 61.14 86 61.86 87 62.58 88 63.30 89 64.02 90 'l4.74
1i6.27 56.96 67.66 58.36 69.05 SV.74 60.44 61.13 61.82 62.52
66.46 66.18 66.90 67.62 68.34 69.06 69.78 98 70.50 99 r1. 21 100 71. 93
63.21 63.91 64.60 65.30 65.1K1 66.69 67.38 68.08 68.77 69.47
66.18 66.90 66.62 67.33 68.05 68.76 69.48 '70.20 70 91 171.• 63
63.50 (14.20 64.89 66.59 66.29 66.1K1 67.69 68.38 69.08 69.78
64.91 66.62 66.33 67.05 67.,76 68.47 69.19 69.90 70.61 71.33
63.78 64.48 65.18 65.89 66.59 67.29 67.00 68.69 69.39 70.09
64.63 66.34 66.05 66.76 67.47 68.18 68.89 69.60 70.31 71.02
Lat .
1 Dep.
Lat.
Dep.
Lat.
Dep.
;63.
...
j
~
Dep.
46°.
I
41479-10--7
M.45
--,,----
--.;
t;;
!O
!:
49.32 60.02 00.71 61.40 52.10 M.67 52.79 M.44 55.39 63.49 55.11\ 56.11 M.18 55.87 56.83 M.88 56.59 57.55 55.57 57.30
91 92 93 94 95 96 97
45°.
44W·
Lat.
Dep.
-- --
-
44~0.
I
4~0,
,
4572°.
97
Lat.
4Si·,
II
II
Dep.
Lat.
81
t
!l "
45°.
!I
A
TABLE ".-CORRECTION OF ERROR IN STADIA WIRE INTERVAL.
1
2
3
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0
0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 4.2 4.4 4.6 4.8 5.0 5.2 5.4 5.6 5.8 6.0
0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.0 3.3 3.6 3.9 4.2 4.5 4.8 5.1 5.4 5.7 6.0 6.3 6.6 6.9 7.2 7.5 7.8 8.1 8.4 8.7 9.0
10
11
12
13
1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 11.0 12.0 13.0 14.0 15.0 16.0 17.0 18. 0 19.0 20.0 21.0 22.0 23.0 24.0 25.0 26.0 27.0 -28.0 29.0 30.0
1.1 2.2 3.3 4.4 5.5 6.6 7.7 8.8 9.9 11.0 12.1 13.2 14.3 15.4 16.5 17.6 18. 7 19.8 20.9 22.0 23.1 24.2 25.3 26.4 27.5 28.6 29.7 30.8 31.9 33.0
1.21 2.4 3.0 4.8 6.0 7.2 8.4 9.6 10.8 12.0 13.2 14.4 15.6 16.8 18.0 19.2 20.4 21.6 22.8 24.0 25.2 26.4 27.6 28.8 30.0 31.2 32.4 33.6 24.8 36.0
1.3 2.6 3.9 5.2 6.5 7.8 9.1 10.4 11.7 13.0 14.3 15.6 16.9 18.2 19.5 20.8 22.1 23.4 24.7 26.0 27.3 28.6 29.9 31.2 32.5 33.8 35.1 36.4 37.7 39.0
0
Distance In chains. l) 6 4 Error in Links. 0.4 0.8 1.2 1.6 2.0 2.4 2.8 3.2 3.0 4.0 4.4 4.8 5.2 5.6 6.0 6.4 6.8 7.2 7.6 8.0 8.4 8.8 9.2 9.6 10. 0 10.4 10.8 11.2 11.6 12.0
0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5 10.0 10.5 11.0 11.5 12.0 12.5 13. 0 13. 5 14.0 14.5 15.0
0.0 1.2 1.8 2.4 3.0 3.6 4.2 4.8 6.4 6.0 6.6 7.2 7.8 8.4 9.0 9.6 10.2 10.8 11. 4 12.0 12.6 13.2 13.8 14. 4 15.0 15.6 16. 2 16. 8 17.4 18.0
Distance In chains. 14 16 15 Error In links. 1.4 2.8 4.2 5.6 7.0 8.4 9.8 11.2 12.0 14.0 15.4 16.8 18.2 19.6 21.0 22.4 23.8 25.2 26.6 28.0 29.4 30.8 32.2 33.6 35.0 36.4 37.8 39.2 40.6 42.0
1.5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 16.5 18.0 19.5 21.0 22.5 24.0 25.5 27.0 28.5 30.0 31.5 33.0 34.5 36.0 37.5 39.0 40.5 42.0 43.5 45.0
98
1.6 3.2 4.8 6.4 8.0 9.0 11.2 12.8 14.4 16.0 17.6 19.2 20.8 22.4 24. 0 25.6 27.2 28.8 30.4 32.0 33.6 35.2 36.8 38.4 40.0 41.6 43.2 44.8 46.4 48.0
9
7
8
0.7 1.4 2.1 2.8 3.5 4.2 4.9 5.6 6.3 7.0 7.7 8.4 9.1 9.8 10.5 11. 2 11.9 12.6 13.3 14.0 14.7 15.4 16.1 16.8 17.5 18.2 18.9 19.6 20.3 21.0
0.8 1.6 2.4 3.2 4.0 4.8 6.6 6.4 7.2 8.0 8.8 9.6 10.4 11.2 12.0 12.8 13.6 14.4 15.2 16.0 16. 8 17.6 18. 4 19.2 20.0 20.8 21. 6 22.4 23.2 24.0
0.9 1.8 2.7 3.6 4.5 5.4 6.3 7.2 8.1 9.0 9.9 10.8 11. 7 12. 6 13.5 14.4 15.3 16.2 17.1 18.0 18. 9 19.8 20.7 21.6 22.5 23.4 24. 3 25.2 26.1 27.0
17
18
19
1.7 3.4 5.1 6.8 8.5 10.2 11.9 13.6 15.3 17.0 18.7 20.4 22.1 23.8 25.5 27.2 28.9 30.6 32.3 34.0 35.7 37.4 39.1 40.8 42.5 44.2 45.9 47.6 49.3 51.0
1.8 3.6 5.4 7.2 9.0 10.8 12.6 14.4 16.2 18.0 19.8 21.6 23.4 25.2 27.0 28.8 30.6 32.4 34. 2 36.0 37.8 39.6 41.4 43.2 45.0 46.8 48.0 50.4 52.2 54.0
1.9 3.8 5.7 7.6 9.5 11.4 13.3 15.2 17.1 19.0 20.9 22.8 24.7 26.6 28.5 30.4 32.3 24.2 36.1 311.0
m.9
41.11 43.7 45.6 47.5 49.4 51. 3 53.2 55.1 57.0
10 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 11.0 12.0 13.0 14.0 15.0 16.0 17.0 18.0 19.0 20.0 21.0 22.0 23.0 24.0 25.0 26.0 27.0 28.0 29.0 30.0 20 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0 22.0 24.0 26.0 28.0 30.0 32.0 24.0 36.0 38.0 40.0 42.0 44.0 46.0 48.0 50.0 52.0 54.0 56.0 68.0 60.0
TABLE S.-STADIA COEFFICIENTS, VERTICAL ROD. CosIlI and
1"
0"
. nor. dlst.
~ sin 211.
Dift.
elev.
nor.
%"
nor.
Dlft.
3" Dlft.
Dlft.
elev.
.0000
.9997
.0006
.9997
.0174 .01llO .0186 .0192 .0198
.9988 .9987 .9987 .9987 .9986
.0349 .0355
.9997 .9996 .9996
.9986 .9985 .9985 .9984
.9984
.0378 .0384 .0390 .0395 .0401
.9967
.0552 .0557 .0563 .0569 .0575
.9983 .9983 .9982 .9982 .9981
.0407 .0413 .0418 .0424 .0430
.9966 .9966
.0586
.9965 .9964 .9963
.0592 .0598 .0604
.9981 .9980 .9980 .9979 .9979
.0436 .0442 .0448 .0453
.0459
.9963 .9962 .9962 .9961 .9960
.0609 .0615 .0621 .0627 .0633
.0465 .0471 .0476 .0482 .0488
.9959 .9959 .9958 .9957 .9956
.0638
dist.
elev.
nor.
dist.
dlst.
elev.
, 0
4 6 8
1.0000 1.0000 1.0000 1.0000 1.0000
10 12 14 16 18
1.0000 1.0000 1.0000 1.0000 1.0000
.0029 .0035 .0041 .0047 .0052
.9996 .9996 .9995 .9995 .9995
.0204 .0209 .0215 .0221 .0227
20 22 24
1.0000 1.0000 1.0000 .9999 .9999
.0058 .0064 .0070 .0076 .0081
.9995 .9994 .9994 .9994 .9993
.0233
.9999 .9999 .9999 .9999 .9999
.0087 .0093 .0099 .0105 .0111
.9993 .9993 .9993 .9992 .9992
.9999 .9999 .9998 .9998 .9998.
.0116 .0122 .0128 .0134 .0140
.9992 .9991 .9991 .9990 .9990
.0302 .0308 .0314
.9978 .9978 .9977 .9977 .9976
54 56 58
.9998 .9998 .9998 .9997 .9997
.0145 .0151 .0157 .0163 .0169
.9990 .9989 .9989 .9989 .9988
.0320 .0326 .0331 .0337 .0343
.9976 .9975 .9974 .9974 .9973
.0494 .0499 .0005 .0511 .0517
.9956 .9955 .9954 .9953 .9952
.0667 .0673 .0678 .0664 .0600
60
.9997
.0174
.9988
.0349
.9973
.0523
.9951 '
.0600
2
26 28 30
32
34 36 36
4d 42 44 46 48
ro 52
c+!
0.75 1.00 1.25
.
0.75 1.00 1.25
.0012 .0017 .0023 .
0.01 0.01 0.02
0.75 1.00 1.25
.0238 .0244 .0250
.0256 .0262 .0267
.0273 .0279 .0285
.0291
.0297
0.02 0.03 0.03
0.75 1.00 1.25
(c+f) cos II and (c+f) sin II. Natural functions
99
.0300 .0366 .0372
0.03 0.04 0.05
.
.9973 .9972 .9971 .9971 .9970 .9969 .9969
.9968 ".9968
0.75 1.00 1.25
.0523
.0528
.0534 .0540 .0546
.0580
.Q644
.0650 .0656 .0661
0.05 0.06 0.08
TABLE 6.-STADU COEFFICIENTS, VERTICAL ROD. CosOv and
I
I
4·
~
sin 2v.
6°
7·
6°
Hor. dist.
Diff. elev.
Hor. dist.
Diff. elev.
Hor. dist.
Diff. elev.
.9924
.0868 .0874 .0880 .0885 .0891
.9891 .9890 .9888 .9887 .9886
.1040 .1045 .1051 .1057 .1062
.985l .9850
.9922 .9921 .9920
.1219 .1215 .1221 .1226 .1232
.0725 .0730 .0736 .0742 .0748
.9919 .9918 .9917 .9916 .9915
.0897 .0003 .0908 .0914 .0920
.9885 .9883 .9882 .9881 .9880
.1068 .1074 .. 1079 .1085 .1091
.9841
.9840 .9839
.1238 .1243 .1249 .1255 .1260
.0753 .0759 .0765
.9914 .9913 .W11 .9910
.0925
.9878 .9877 .9876 .9874 .9873
.1096 .1102 .1108 .1113 .1119
.9837 .9836 .9834 .9833 .9831
.1266 .1272 .1277 .1283 .1288
.0960
.9872 .9871
.0965
.9869 .9868
.1125 .1130 .1136 .1142 .1147
.9829 .9828 .9827 .9825 .9824
.1294 .1300 .1305 .1311 .1317
.9822 .9820 .9819 .9817 .9816
:1322 .1328 .1333 .1339 .1345
Iffsr. d st.
Diff. elev.
.9951 .9951 .9950 .9949 .9948
.0696 .0702 .0707 .0713 .0719
.9923
.9947 .9946 .9946
, 0
2 4 6 8 10 12 14 16 18 20
22
24
26 28 30
32
·34 36 38 40 42 44 46 48
50
.9945
.9944 .9943 .9942 .9941 .9940 .9939
.07n
.ggog
.0948
.0782 .0788 .0794 .0799
.9908
.0964
.9935
.0805
.9934
.0811 .0817
.9Q03
.9938 .9938 .9937
•was
.9933
.9929
.0840
,9897 .9896 .9894 .9893 .9892 .9891
60
.9924
.0868
0. 75 1.00 1.25
.9928
.9927 .9926
0.75 1.00 1.25
0.06 0.08 0.10
.0971 .0977
.00&3
0.75 0.99 1.24
.9865 .9864 .9863 .9861
.1000 .1005
.9860
.1011 .1017 .1022 .1028 .1034
.9858 .9857 .9856 .9864 .9853
.1181 .1187 .1193 .1198 .1204
.9814 .9813 .9811 .9810 .9808
.1350 .1356 .1361 .1367 .1373
.1040
.9851
.1210
.9806
.1378
.0094
,
:9867
.9844 .9843
.1153 .1159 .1164 .1170 .1176
.~
,9901 .9900 .9899 .9898
.0$22 .0l28 .0834
.9925
e+f
.9907 .9906 .9905 .9904
.9932 .9931 .9930
08
64 56
.0937 .0943
.0776
.0845 .0851 .0857 .0863
&2
.0931
.9848 .9847 .9846
0.07 0.09 0.11
0.75 0.99 1.24
(e+n cos v and (e+n sin v. NaturaI functions.
100,
0.08 0.11 0.14
0.74 0.99 1.24
0.10 0.13 0.16
•
TABLB e.-8TADU COEI'PICIENTS. VERTICAL BOD. CosIo and
I
8°
Hor.
~
sin 211.
9° DUr.
dist.
e1ev.
-Hor.
I
10° DUr.
dist.
elev.
.9755 .9753 .9752 .9750 .9748
.1545 .1551 .1556 .1562 .1567 .1573 .1578 .1584
. Ie!
.9746 .9744 .9743 .9741 .9739
• 14M .1440 .1445 .1451 .1456 .1462 .1467 .1473 .1479 .1484
Hor.
Dlff.
11 °
Hor.
DIlI. elev.
.9636
.1873 .1878 .1884 .1889 .1895
dJst.
elev.
.9698 .9694 .9692 .9690
.1710 .1716 .1721 .1726 .1732 .1737 .1743 .1748 • 17M .1759
.9625
.1Ii95
.9688 .9686 .9684 .9682 .9680
.9737 .9735 .9733 .9731 .9729
.1600 .1606 .1611 .1617 .1622
.9678 .9676 .9674 .9672 .9670
.1765 .1770 .1776 .1781 .1786
.9614 .9612 .9605
.1927 .1932 .1938 .1943 .1948
.9728 .9726 .9724 .9722
.9668 .9666
.9684 .9662
.9603 .9600 .9598 .9596 .9593
.1954 .1959 .1964 .1970 .1975
-dlst.
, 0 2 4 6 8
.9806
.1378 .1384
.9803 .9801 .9800
.131;9
10
.9798
12 14 16 18
.9797 .9795 .9793 .9792
20 22 24
.9790
26 28 30 32
.9805
.9788 .9787 .9785 .9783
.9782
.1395 .1401 .1406 .1412 .1417 .1423
.1589
.91i96
.9634 .9632 .9629
.9627 .9623 .9621 .9618 .9616
.0C09
.9607
.1900 .1905 .1911 .1916 .1921
.9720
.1628 .1633 .1639 .1644 .1650
.9660
.1792 .1797 .1803 .HII)8 .1814
40 42 44 46 48
.9773 .9771 .9769 .9768 .9766
.1490 .1495 .1501 .1506 .1512
.9718 .9716 .9714 .9712 .9710
.1655 .1661 .1666 .1672 .1677
.9657 .9665 • !l653 .9651 .9649
.1819 .1824 .1830 .1835 .1841
.9591 .9589 .9586 .9584 .9582
.1980 .1986 .1991 .1996 .2002
50 52 M 66 58
.9764 .9762 .9761 .9759 .9757
.1517 .1523 .1528 .1534 .1li4O
.9708 .9706
.9704
.9702 .9700
.1683 .1688 .'1894 .1699 .1705
.9647 .9645 .9642 .9640 .9638
.1846 .1851 .1857 .1862 .1868
.9579 .9577 .9576 .9672 .9570
.2007 .2012 .2018 .2023 .2028
60
.9755
.1545
.9698
.1710
.9636
.1873
.9568
.2034
34 36
38
c+!
0.75 1.00 1.25
.9780 .9778 .9776 .9775
0.14 0.99 1.23
0.11 0.15 0.18
0.74 0.99 1.23
0.12 0.16 0.21
0.·74 0.08 1.23
(c+/) cos I> and (c+{) sin 1>.
NaiunIl flmctJOII8.
101
0.14 0.18 0.23
0.73 0.08 1.22
0.15 0•.20 0.25
TABLE 8.-8TADIA (lOEFFJ()IENT8, VEBTI(lA.L ROD. Cos2tI and
sin 2~.
13·
12·
.
~
1.·
15·
Hor. dlst •
DUI. elev.
Hor. dlst.
DUI. elev.
Hor. dlst.
DI1f. elev.
Hor. dlst.
DUI. elev.
.9494 .9491 .9489 .9486 .9484
.2192 .2197 .2202 .2208 .2213
.9415 .9412 .9409 .9407 .9404
.2347 .2352 .2358 .2363 .2368
.9330 .9327 .9324 .9321 .9318
.21iOO
.2505 .2510 .2515 .2520
.9401
.2373 .Z378
.9316 .9313 .9310 .9307 .1l8O(
.2525 .2530 .2535 .21140 .2545
.9301 .9298 .9296 .9292 .9289
.2SIiO .2555 .2560 .2565 .2570
.9286 .9283 .9280
.2575 .2580 .2585 .2500 .2595
0 2 4 6 8
.~
.2034
.9565 .9563 .OM1 .9558
.2039
10 12 14 16 18
.951i6 .9553 .9Ml .9549 .91\46
.2060 .2066 .2071 .2076 .2081
.9481 .9479 .9476 .9473 .9471
.2218 .2223 .2228 .2234 .2239
.9398 .9395 .9393 .9390
20 22 24 26 28
.9544 .9541 .9539 .9636 .9634
.2087 .2092 .2097 .2103 .2108
.9468 .9466 .9463 .9460 .9458
.2244 .2249 .221\4 .2200 .2'J66
.9387 .9384 .938l • 11m .9376
.:u09
.9532
.2424 .2429 .2434 .2439
.2044 .2050 .2055
.23113
.2388 .2393 .2399 .2404 .2414 .2419
34 36 38
.9527 .9524 .9522
.2113 .2118 .2124 .2129 .2134
.9455 .9452 .9450 .9447
.2'l70 .2'l75 .2280 .2285 .2291
.9373 .9370 .9367 .9365
40
.2139 .2145 .2150 .21M .2160
.9«2 .9439
48
.9519 .9517 .9514 .9512 .9S09
.9436 .9434 .9431
.2296 .2301 .2306 .2311 .2316
.9359 .9356 .9353 .9350 .9347
.2449 • 24M .2460 .2465 .2470
50 52 114 66 58
.9507 .9504 .91i02 .9499 .9497
.2166 .2171 .2176 .2181 .2187
.9428 .9426 .9423 .9420 .9417
.2322 .2327 .2312 .2337 .2342
.9345 .9342 .9339 .9336 .9333
60
.9494
.2192
.9415
.2347
.9330
30
32
42 44 46
c+!
0.78 1.00 1.26
.1IS29
0.73 0.98 1.22
0.16 0.22 0.27
.11444
0.73 0.97
I 1. 21
0.17 0.23 0.29
.9362
0.73 0.97 1.21
(c+/) cos II and (c+!> SIn II, Natural ftmctlOll&
102
.~
.wn .9274
.1I'm
.2600 .2005 .2610 .2615 .2620
.2475 .2480 .2485 .2490 .2495
·.9256 .9253 .9249 .9246 .9243
.2625 .2630 .2635 .2640 .2645
.21iOO
.9240
.2650
0.19 0.25 0.31
.9268 .9266 .9262 .9259
·0.72 0.116
1.20
0.20 0.27
0.34
TABLE •• -STADIA OOBFt'UlIENTS. VERTICAL BOD. CoI'G aDd ~8hl20.
I
16·
Hor.
17· Diff.
dlst.
e1ev.
0 2 4 6 8
.9240 .9237 .9234 .9231 .9228
.2650
10 12 14 16 18
.9225 .9222 .9219 .9215 .9212
20
.9209
Hor.
18· DUI.
dlst.
e1ev.
.9145 .9142 .9139 • 913S .9132
.2796 .2801 .2806 .2810 .2815
.2679 .2684 .2689 .2694
.9129 . .9126 .9122 .9119 .9116
Hor.
19· DUI.
dlst.
elev.
.9045 .9038 .9035 .9031
.2939 .2944 .2948 .2953 .2958
.2820 .282.'; .2830 .2834 .2839
.9028 .9024 .9021 .9018 .9014
.9112 .9109 .9106 .9102
.2844 .2849 .2854 .2858 .2863
.9096
.2868 .2873
.8990
Hor.
dlst.
DUI.
elev.
, .2659 .2664 .2009 .~74
26 28
.9200 .9197
.2699 .2704 .2709 .2713 .2718
30 32 34 36 88
.9193 .9190 .9187 .9184 .9181
.2723 .2728 .2733 .2788 .2743
.9092 .9089 .9086 .9082
.2882 .2887
40
.9177 .9174 .9171 .9168 .9165
• 2748 .2752 .2757 .2762 .27G7
.9079 .9076 .9072 .9069
.2901
.11066
.2906 .2911
50 52 54 56 58
.9161 .9158 .9152 .9148
.2772 .2777 .2781 .2786 .2791
.9062 .9059 .9055 .9052
.ms
.9048
00
.9145
.2796
.9945
22 24
42 44 48 48
I
• :l6Ii5
c+~ O. 1> 1.00 1.25
.9206
.9203
.91.55
0.72 0.96 1.20
0.21 0.28 0.36
.9099
0.72 0.96 1.19
.9042
.~
.3078
.8lI36
.3083
.8933 .8929 .8926
.3087 .3092 .3097
.2962 .2967 .2972 .2976 .2981
.8922 .8918 .8915 .8911 .8908
.3101 .3106 .3110 .3115 .3119
.9011 .9007 .9004 .9000 .8997
.2986 .2990 .2995 .3000 .3004
.8904 .8900 .8896
.8893 .8889
.3124 .3128 .8133 .8188 .8142
.8993
.'Jtm
.8986 .8983 .8879
.3009 .3014 .3019 .3023 .3028
.8886 .8882 .8878 .S87& .S871 .
.3147 .3151 .3156 .3160 .8165
.2892 .2896
.8876 .8972 .8969 .8865 .8961
.3032 .8037 .3041 .3046 .3061
.8867 .8864 .8860 .8856 .8853
.3169 .3174 .3178 .3183 .3187
.:m4
.8968 .8854 .8951 .8947 .8944
.3055 .3060 .3065 .3069 .3074
.8849 .8845 .8841 .8888 .8834
.3192 .3100 .• 3201 .3205 .3209
.2939
.8940
.3078
.8830
.3214
.21115 .2920
.2930
0.23 0.30 0.88
0.71 0.95 1.19 .
(c+f) ~ 0 and (c+f) ala I!. Natural rUDO'1oD&
103
0.24 0.32 O.fD
0.71 0.94 1.18
0,2.'1 0.33 0.42
'PAstl 1I.-8T!DIA COBPFfCIIIJN'I'S, VERTICAL ROD.
eos'll and ~ sin 2v. 22·
21·
20·
Bor.
DUJ.
elev.
Hor.
dlst.
dlst.
elev.
dlst.
elev.
dlst.
elev.
0
.8830 .8823 .8819 .8815
.3214 .3218 .3223 .3227 .3232
.8716 .8712 .8'708 .8704 .8700
.3346 .3350 .8354 .3359 .3363
.8597 .8593 .8589 .8585 .8580
.3473 .3477 .3482 .3486 .3400
.8473
2 4 6 8
.8465 .8461 .8457
.3597 .3001 .3005 .3009 .3613
.8696 .8692 .8688 .8684 .8680
.3367 .3372 .3376 .3380 .3384
.8576 .8572 .8568 .8564 .8iIOO
.3494 .3498 .3502 .3507 .3511
.3452 .8448 .8444 .8440 .8435
.3617 .3621 .3625 .3629 .3633
.8fiT7 .8673 .8669 .8665 .8661
.3389 .3393 .3397 .3401 .3406
.8556 .8552 .8548 .8544 .8540
.3515 .3519 .3523 .3527 .3531
.8431 .8427 .8423 .8418 .8414
.3637 .3641 .3645 .3649 .3653
.8657
.3410 .3414 .3418 .3423 .3427
.R536 .8531 .8527 .8523 .8519
.3536 .3540 .3544 .3548 .3552
.8410 .8406 .8401 .8397 .8393
.3657 .3001 .3665 .3669 .3673
.8515 .8511 .8507 .8502 .84118
.3556
.3564 .351lS .3572
.8389 .8384 .8380 .8376 .8372
.3677 .3680 .3684 .3688 ·.3692
Bor.
Dlt!.
Hor.
23· DUI.
Dlt!.
, .81126
• &tOO
10 12 14 16 18
.8811 .8808
.8796
.3236 .3241 .3245 .3249 .3254
20 20 28
.8793 .8789 .8785 .8781 .8777
.3258 .3263 .3267 .3272 .3276
30 32 34 36 38
.8774 .8770 .8766 .. 8762 .8758
.3280 .3285 .3289 .3293 .3298
40 42 44 46 48
.8754 .8751 .8747 .8743 .8739
.3302 .3307 .3311 .3315 .3320
.8637 .8833 .8621
.3431 .3435 .3440 .3444 .3448
50 62 54 66 58
.8735 .8731 .8727 .8724 .8720
.3324 .3328 .3333 .3337 .3341
.8617 .8613 .8609 .8605 .8601
.3452 .3457 .3461 . 34f>5 .3469
.8494 .8490 .8486 .8482 .8477
.3576 .3580 .3585 .3589 .3593
.8367 .8363 .8359 .8354 .8350
.3696 .3700 .3704 .3708 .3712
60
.8716
.3346
.8597
.3473
.8473
.3597
.8346
.3716
22
24
e+!
0.75 1.00 1. "1.i
.8804 .8800
0.70 0.94 1.17
0.26 0.35 0.44
.8653
.8649 .8645 .8641
.8G29 .8625
0.70 0.93 1.16
0.27 0.37 0.46
0.69 0.92 1.15
(c+f) cos II and (e+f) sin 11.
Nataral fnocUoaa..
104
.35IiO
0.29 0.38 0.48
0.69 0.92 1.15
0.30 0.40 0.50
TABLE S.-STADIA. COEFFICIENTS, VERTICAL ROD. Cost, and
24·
Bor.
~
sin 2,.
25·
dist.
e1ev.
Ditr.
Bor. dist.
elev.
dist.
.8214
.8205 .8201 .8100
.3830 .3834 .3838 .3841 .3845
.8078 .8074 .8069 .8005 .8060
.3940 .3944 .3947 .3951 .3954
.7939 .7934 .7930 .7925 .7920
.3735 .3739 .3743 .3747 .3761
.8192 .8187 .8183 .8178 .8174
.3849 .3853 .3856 .3860 .3864
.!()55
.8051 .8046 .8041 .8037
.3958 .3961 .3965 .3969 .3972
.7915 .7911 .7906 .7001 .7896
.4062 .4000
.3754 .3758 .3762 .3766 .3770
.8169 .8100
.3867 .3871 .3875 .3878
.8032
.81(iO
.3976 .3979 .3983 .3986 .3900
.7892 .7887 .7882 .7877 .7873
.4079 .4082 .4086 .4089 .4092
.4096
DilY.
dlst.
elev.
8
.8346 .8341 .8337 .8333 .8328
.3il6 .3720 .3723 .3727 .3731
10 12 14 16 18
.8324 .8315 .8311 .8307
Bor.
27·
26·
Ditr.
Bor.
Ditr.
elev.
, 0
2 4
6
20 22 24 26 28
.8320
.8302 .8298 .8293
.~
.3789
.8009 .8004 .8000 .7995 .7900
.3993 .3997 .4000 .4004 .4007
.7868 .7863 .7858 .7854 .7849
.4099 .4102 .4106 .4109
.3793 .3796 .3800 .3804 • awl
.8124 .8119 .8115 .8110 .8106
.3904 .3908 .3911 .3915 .3918
.7986 .7981 .7976 .7972 .7967
.4011 .4014 .4018 .4021 .4024
.7844 .7839 .7834 .7830 .7825
.4112 .4116 .4119 .4122 .4126
.8236 .8232 .8227 .8223 .8218
.3811 .3815 .3819 .3823 .3826
.8101 .8097
.7962 .7968 .7953
.4028
.8087 .8083
.3922 .3926 .3929 .3933 .3936
.7944
.4031 .4035 .4038 .4042
.7820 .7815 .7810 .7806 .7801
.4129 .4132 .4135 .4139 .4142
.8214
.3630
.8078
.3940
.7009
.4045
.7796
.4145
46 IiO 62 M 66 68
00
c+!
.4009 .4072 .4076
.3!186 .3889 .3893 .3897 .3900
.8285
.8!IiR • 82M .8249 .8245 .8241
0.75 1.00 1.25
.4052 .4055 .4059
.8147 .8142 .8138 .8133 .8128
.8289
40 42 44 46
36 38
.4045
.4049
.8028 .8023 .8018 .8014
.8280 .8276 .8272 .8267 .8263
30 32 34
.8209
0.68 0.91 1.14
.3774 .3777
:~~~1
0.31 0.41 052
.8166 .8151
.8092
0.68 0.90 1.13
0.32 0.43 0.54
.7946
0.67 0.89 1.12
(c+/) cos v and (c+/) sin v. 'Natural functions.
105
0. 33 0.45 0.56
1 0. 66 0 89 1 1.11 .
0.35 0. 46 0.68
TABLE 7.-NATURAL SINES AND COSINES. ,
O' •
_
S ine.
Icosln.
I' "
3'
2'
I'
. I~ ~
S lIle. ICosln ,
o .000001O ne.
4' osin.
.01745 , 9'J()!;5 ,03400 1 . 1)I10'.!9 Ooe. , 00 7il 1 .99~S4 .03519 2 . OOO5lS. One. .01803 1 ' 009ij4 .0354 3 . 000071 One. . U1S3~ . 99~ 'II . 03577 4 .00 116 One. . 01tili~ . 99983 ' 03600 5 O ne. .01 91 .990 2 .03ti35 11 .OOli5 Onc. .Ol U20. 9~U:2 . ,I 7 .OO;?O·I One. .0 1 9~U .9f19,'1 .03u9a 8 . 00'J:13 0197' . \XlI)~ 1 . 03i23 9. 00'_'112 O ne. .O!Y.IHO .oa762 10 . O():!'JI O ne . . 0203(;1. 00979 .037BI
.001451
_ 21 22 23
2~
25 25 27 28 29 30 31
. 00320 . 00349 · OQ3jR . 00107 . 0043tl · (.10 1M · 00 1 5 . 0052 1 . 00553 . 00582 . 00011 . 006 10 .00009 . 00'19
. 00727 . 007SIl • ()()7S.') .008 1·1 • OOR·I-I .00 73 .00002
• 9~WII . 9~(),JO .9 !19 .99999 • 9~9Il!l .Omllm1 . 99999 • 99i!9'J
' 02005 • 00II70 . Ol()!l.l . \19978 . 0~12:1 . 9fl9i7
II.
. 02 15~
.OUUT7 . 021 99970 .022 11 .9f1971J . 02210 . 00075 . O~2119 1 . 999H
.90\)!l~ 1 . O:l'.llI~I.OO974 .9Q99.~1 1 . 0.!3~7 .00II73
. 0099' .O~3:ilil .00972 .001fJ~ , . 0~3'G • . 00972 .9\l!l9~ .02~ H .00071 . 99!l9~ . 99!l70 .!lOO97 .ro.J7~ .09%01 • IJll1l<J7 ' • Omll . 99~;9 . 99!l97 .02.5.'1°1' 909('. .1lOO!l7 .
07Ho'l I'
~; :::;~ : =~ :~~~ ~,!) .1lOO!<9 .9999,', ~ . OWlS . !l9H9;
: g~~ : :ml ~
O?!.
one. ,. 1.02007
:gmg :;:~!~I~
. (l9IlI)() . !~)~9S .99'417 .9(I'9r. . !~1'~4
.W' 03
. OO~U2 . \l9~!)()
.!III'SO
. (lOIm
.0011.'>1) .00085 . ()()714
.01101 .Uglll !
.m74~
.~Nj2
.00773
.0<~'02
.\I(I~70 .f)f~"11 .IW''
.9'N,n
.n.;llli .1~"'i7
. 99710 38
• 0070 37 . 99700 .11) . 99703 35 . 911701 ;14 . 00f.!Y.l 33 . 9\lOgCj :rJ .911(,94 31 . 90002 30
• O\l:m .00'<011 . (~\2.'iO .09I"IH .om9.09RO:I .0<j3()8 .9USOI . Of~~17 .997llf1 .0<1.1!lG .ll'Ji07 . (J(j;J\)J • 00711.'0 .011121 .00793 . o.~W; .00153 .9'J7112 . 08 194 . onl~2 .99il1O .0S223 ·.~ \ Ol . 9900-7'U')'II ·.~~~I) 'no"
II
.99731-1 9 . 99731 48 . 99729 41 . 00727 4(1 .9725 45 . 9972'& H . 119721 ,13 . 9971942 , 997W H . 99714 40 .99712 39
:~:t~ : :~o
. 1~1.169 . ()(j.';98
.
57 .nIGSR . 9'1'lS/\
. 00740152
:;:~~I t\
:
:=1:g:!~g : :
. OZ7a4 .99003; . 04017 .0':!7!':1 . \,g\J(121 . 04607 ~Ii .01017 .n.IO,', .0~70~ .II'X~.H .UI.I:I(I 37 . 0107~ .\l\)[)\l4 ' . 0'.!lS'!1 .1J\)!lf/J, .0 15fl5 ;!M .011 M .9\l1Y.H I . 0 = .If')~l.lO , . 01,~1H 39 .011 34 '9W\lI I 'O~ 7'.1 .rY.JO,'>9 , .().J6Za • 0 l in I . 9900,1 . 02908 . \IOO5..~1 • 04tl53I 1 . om;g 'u .0 1300 . IYJ~g l " ..... 9~~ 1.->J , .04111 4G .O I33! . OOO'JJ .030.'1:[. OIl': '1~11 ·1J4~,'27 47 . 01367 . 009 1 .03113.99 52 . 011<,';6 48 . 01300 . fI!lfl!l() .03IH .11'11151 1 .Ol~"'" ·10 . 01 <12:; .1I99Il(1 .rr.HiIl ,9'Y.)r.o1 . 0191l 60 . 01454 .000JSll .031011 . UUI\'IU O'U·13 5 1 .01483 . 03~~ • 9U9~ .049n 52 .0151.1 .032.;7 . OY.l17 . 05001 ;;J .0 15-12 . 032<;1; ,U\1\Hlill ' 05030 5 1 .01511 .0;;;1"\ .gn9I.; .o.-,or,g 55 .01(j(l() . 9~I9S7 1 . ~~l\_,I"1 .r",~I·II , .o;ffl~ 56 '0l(;:!!I1 ' 9on~7 1 '"> . !J'I!H:l .11.;117
.\l9fM III . 9OOtI418 .!JOO(j117 .Il005916 ~ ""_ . Il005715 '. ~77~ I '. ~~~31 ~ .9001\4 14 "" "" ""', u .9005213 .00780 .0 l>!l . !)96j912 . ~7777" '.~~!!?' .9004711 u. u """.., . 90044 10 .00774 .09455 . 9964 II .99772 .O~""·I . 900:19 8 . \~1170 . Oc.,." 13 . 00li37 7 .Wj,'~ .0S542 . 1IOO3.'i 6 .997W .O'Gll '.~~ 54 .W7HoI .OROO!I """',.,
.ro'~9 .m7U~
.0i<6~ . !IOO27 3
5~ .O I G.~7 .!lII9S4\ .n;H~~ 4'1111 1 .o.j I7r. .9!J~I' ; .I){\\) IB ~'17m . r.Sll.'i~ fiO .0171fl .90~~;' .031111 .!1'f-1I0, .O;j~o.,; .1lIl~t]~ .Om17 .\l975~ . O~I' 7 .0Ii4.' .9lt(l,"" .II:H~ '1~~Jlq[I '''-'~'14 ' 1~1";31·0Iin7(i I .lIj)7~hl _O"L(\ oslll . 1 Sine. : cosill. 1 Sine. Cosln . SI"... l'nsln .1 8In.. Cosin. '
.::0
I -~
I'
:99750 00 . 99754159 • 99752 5 . 00760 57
• (ltjQj {j , 90039 . 05:!.'14 . 1I!1IJ3S .052113 .99.>61 · 07005 • 07004 .9'J9;jj . 07003 . 999aU ,9Il!l35' ,911034 . 99'J~ .9l)9;12 . 11tl93 1 . 0720, .9.00;JfJ ~~fi .9<.)929 . 07295 . \J\Xl27 . 9\J!rl .07324 . 99925 · 07353 .Om4 · 07382 .0Hll . [199'.!3 . !l99:r.l .07440 . 074M9 . 009 ·1 " U\lI111 .0 lOt:! . OWI9 . 07l9. .07527 .010 12 .11!I91~ .07550 .().J071 · 9IHlJ7 .07585 . ().J IOOI .ml .0iG l <1 .(1H2Il1 .1l9915 .01159 .9\)91~ · 07fl43 · 07672 . 0 II . 0091~ · 0770 I .01217 ·1l\l\!1 11 . 012,101 . 99I1I 0 .07730 • 0771;9 . 04275i . !~J9()9; · 0'77~ . 01~1().J . 9(11107, . 07817 . (It!:!:1 . I1!I'JOO • (]4~1i'~' . !l!l!lIlii • 07840 . ().Ja91 .0!J90.1 .OIH3 1 .!I9S 1 ~
8 7·
106
86'
II
. 90025 2 .991i22 1 .00019 ~ S ine.
86·
TABLE 7.-NATUKAL SINES AND COSINES.
• !l\J,1,s1 . 99:ISI .!l!l;H7 · 99[l4~
. OO:Yll .993:l7 . 003.14 .99:-131 .!r.l327 •
:f.!4
. 99
.99317
.09314
. 00310 .09307 .99J03
.99300 .9921J7
.99293
.99200
•092116 .OO~
.99279 .00276, .99272
.00269 . 992r.; . 00262 .121
. !J92I)
. 12J87 . 1l!P..M
C
Cosln.
1---:::-:-:---11---'-,,--1
107
Co_ill. Sinc. 80'
TABLE 7.-NATUBAL SINES AND COSINES.
,
10'
Sine. Cosln.
12'
11' Sine. Cosln.
---- --.19081 .98163
0 .17365 .98481 1 .17393 .98476 · 19109 2 .17422 .98471 · 19138 3 . 17451 .98466 .19167 • 17479 . 98461 · 19195 .17508 .98455 · 19224 6 .17537 .98450 · 19252 7 .17565 .98445 .19281 8 .17594 .98440 · 19309 9 .17623 .98435 · 19338 10 .17651 .98430 .19366 11 .17680 .98425 .19395 12 .17708 .98420 • 19423 13 .17737 .98414 .19452 .17766 .98409 · 19481 .17794 .98404 • 19509 .17823 .98399 • 19538 17 .17852 .98394 • 19566 18 .17880 .93389 .19591 19 .17909 .98.'l83 .19623 ~ .17937 .98378 .19652 .17966 .98373 · 19680 .17991 .98368 · 19709 23 .18023 .98362 .19737 .1805' .98357 .19766 .lsog~ .98352 .19794 26 .1810 .98347 .19823 27 .18138 .98341 .19851 28 .18166 .98336 .19880 .18195 .98331 .19908 .18224 .98325 .19937 31 .18252 .98320 .!~ 32 .18281 .98315 .111994 33 .18aJ9 .98310 .20022 .18338 .98304 .:10051 .18367 .98299 .20079 .18395 .98294 .20108 .13424 .98288 .20136 38 .13452 .98283 .20165 39 .13481 .98277 .20193 40 .18509 98272 .20222 41 .l853i .98267 .~ • 1 .98261 .~279 42 .98256 .20307 43 44 .18624 • 98250 1 .20336 .18652 .98245 , .20364 .18681 .98240 .~3 47 .18710 .98234 1 .20421 48 .18738 .98229 .20450 49 .18767 .98223 1 .20478 00 .18795 .98218 .~ 51 .l8824 .98212 .20535 52 .18852 .98207 .~ 63 .18881 .98201 .2069'J 54 .18910 .98196 .20620 55 .18938 .98190 .~9 Ii6 .18967 .98185 .20077 .18995 .98179 .~06 .19024 .98174 .~734 69 .111052 .98168 .~63 00 .11lO81 .98163 • ~91
~
1:~~
.~
.~
I: I~
I~
:~r
,:
l~
-:- Cosln. Sine. 79'
I~
• 207911' 97815 • 22495 .97437 .24192 .97030100 · 20820 .97809 · 22523 . 97430 .24220 .97023,59 · 20848 .97803 • 22552 .97424 24249 . 97015.58 .24277 .97008 57 · 20877 . 97797 .24305 .97001 56 • 20905 .97791 • 24333 .9m94 55
:~::~m :~~:m~ :=:~~: .22693 .97391
• 20990 • 21019 .21047 .21076
.21104 .21132 .21161
I .2121 .21l~
· 2124 .21275 .21303
:=:~~~ :~ :=:~~~
:~m:~=
.21445 .21474 .21502
:~~~
.21587 .21616 .21644 .21672 .21701
:m:
.97969 .97963 .97958 .97952 · 97946 .97940 · 97934
.21786 .21814 .21843 , 21871 . 21899 .21928
:~~J:i~ 1
.9791611 .97910, • 97905i • 978W,
.22013 .22041 • 22070 .22098
:~~~~i
:iim .22183
.978811 · 97875 · 97869 • 97863 .97857 .97851 .97845 .97839 .97833 .97827 .97821 .97815
:~:=r
.97772 .97766 · 22722 .97384 • ~~ .97700 .2 .97754 · 24474 .97365 · 24503 .~~ .97742 · .97358 · 24531 .24559 .97735 .24587 .97729 .97723 .~~ .97338 .24611 .97717 .2294 .97331 .24644 .97711 • 24672 · 229~J .97325 .~; • 2300 . 97318 .230 .97311 • 2:4l62 .97304 .24756 .~ .97298 .24784 · 23118 . 97291 .24813 .97673 .97284 .24841 .97667 .97278 .24869 .97661 .23203 .97271 :24897 .9765: .97264 .24925 .97648 .97257 .24954 .97642 .23288 .97251 .24982 .97636 .97244 .25010 .97630 .97237 .2li038 .97623 .2337~ .97230 .2llO66 .97617 .23401 .97223 .25094 .97611 .23429 .97217 .25122 .97004 .25151 .97598 • 23486 .97203 .25179 .23514 .97196 .25207 · 2354 .97189 .25235 .97579 .23571 .97182 .26263 .23599 .97176 .25291 • 23627 .97169 .25320 .97560 .~ .97162 .97553 · 23684 .97155 .97547 .23712 .97148 .25404 .97541 ' .23740 .97141 .97534 .23769 .97134 .97528 .97127 .25488 .97521 • .971201 .25516 .97615 97113 .25545 .97508 .23882 .971061 .25573 .97502 I .23910 .97100' .25601 .97496 I .~ .97093 .25639 .97489 , • 23900 • 97086 .25657 .97483 '.~5 .97079 .281185 .97476I .24023 .97072 .:lM13 .97470 .24051 .97065 .:lM41 .97463 .24079 .97058 .:lM69 .97457 I .24108 .97051 • :15198 .97450 1 .24136 .97044 .25826 .97444 . . 24164 .97037 .97437 I .24192 .97030
• 22212 • :l224O . 22268 .22297 .22321 .22353 .22382 .22410 .22438 .22467 .22495
:~m
:= :~~
:~~ :~m
Cosm.
Sine. 77'
108
1
.9697352 .96966 51 . 96959 50 .969.52 49 .96945 48 • 96937 47 .96930 46 .9692345 .9691 44 .96909 43
:~ig
:i~~ :~692
. 98044 .98039 .98033 .98027 .98021 .98016 .98010 .98004 .97998 .97992 .97987 .97981 .97975
78'
14' Sine. Cosln.
~--
.98157 .98152 .98146\ .98140 .98135 .98129 .981241 .98118 .98112, .981071 .98101 .98096 .98090 . 98184 .9!m9 .9lll73 . 911)67 .98061 .98056 . 98050
CosIn. Sine.
13' Sine. Cosln.
Sine. ICosin.
lmwI
:=
:=
I
Sine. 16?
.96858 36 .96851 35 .96844 34
.96837 33
.96829 32 .9682231 .96815 30 .96!m 29 .96800 28 .96793 27 .96786 .96778 .96771 24 23 22 .96749 21 .96742 ~ .9673419 .9672718 .9671917
~
::±~
!:~ :=j!1~
I
:2385ii .
iCosm.
.96880 39 .96873 38
.96866 37
.96111714 .9660013 .96682,12 .96675:11 .9666710 .96MO 9 .96653 8 .96645 7 .96638 6 .96630 6 .96623 4 .96615 3
.961108 2
:=:=~
j CosIn.
81ne'l-:76'
T&8I.B 7.-N&TUBU SINES &ND COSINB8.
109
TABLB 7.-ltAft&AL SINES ..lND COSINBS.
no
TABLE 7.-NATURAL SINES AND COSINES.
,
26·
26° Sine.
Bine. Cosin.
~
----
• 42262 • 42288 • 42315 3 • 42341 .42367
'i ~ ~
.42 .42 .42473 .42499 .42525 11 .42552 12 .42578 13 .42604 .42631 .42657 .42683
1~
~~ I~
l;~ :~~
.90631 • 43837 • 90618 • 90006 • 90594 .43916 .90582 .43942 .90569 .43968 .90557 .43994 .90545 .44020 .90532 .44046 .90520 .44072 .90567 .44098 .90495 .44124 .90483 .44UH .90470 .44177 .90458 .44203 .90446 .44229 .90433 .44255 .90421 .44281 .90408 .44307 .90396 .44333 .90383 .44359
~ :~ .~
::1
.44464
.90321: .44490 • 90309 1 .44516
.42972 .902961 .44542 • 90284 1 .44568
~ :~
• 90271 1 .44594
1
30 .43051 • 90259 .44620 31 32 33 34 35
.43077 .43104 .43130 .43156 .43182 38 .43209
.90246 .44646 .90233 .44672
.90221 .90208 .90196 .90183 .90171 .90158 .43287 .90146 .43313 .90133
~ ::i ~ 41
~ ~
l·~~
.43366 • 43392 • 4341 • 43445 • 43471 • 43497 • 43523 .43549 50 .43575 51 .43602 52.43628 53.43654 54.43680 55 .43706 56 .43733 57 .43759 58 .43785 59 .43811 60 .43837
~
~
-
,
I Sine.27°Cosin. 1 1
.89879 .45399 • 45425 .45451 • 45477 .89828 .45503 .89816 .45529 .89803 .45554 .89790 .45580 .89777 .45606 .89764 .45632 .89752 .45658 .89739 .45684 .89726 .45710 .89713 .45736 .89700 .45762 .89687 .45787 .89674 .45813 .89662 .45839 .89649 .45865 .89636 .45891 .89623 .45917 .89610 .45942 .89597 .45968 .89584 .45004 .89571 .46020 .89558 .46046 .89545 .46072 .89532 .46097 .89519 .46123 .89506 .46149 .89493 .46175 .89480 .46201 .89467 .46226 .89454 .46252 .89441 .462781 .89428 .4(',304; .89415
:~:~= .89841
.42762 .42788 21 .42815 .90371 1 .44385 22 .42841 • 903581 .44411 .44437 23 .42867
~
Cosln.
.90108 • 90095 .90082 .90070 • 90057 • 90045 • 90032 .90019
.90007 .89994 .89981
.89968 .89956
.89943 .89930 .89918 .89905 .89892 .89879
.44698 .44724 .44750 .44776 .44802 .89402 .44828 .89389 .44854 .89376 .44880 .89363 .44906 .89350 .44932 .89337 .44958 .89324 .44984 .89311 .45010 .89298 .45036 .89285 .45062 .89272 .45088 .89259 .45114 .89245 .45140 .89232 .45100 .89219 .45192 .89206 .45218 .89193 .45243 .89180 .45269 89167 • 1 .45295 .89153 .45.121 .89140 .45347 .89127 .45373 .89114 .45399 .89101
.891011 • 89087 .89074, • 89061
.89048 .89035 .89021
.89008 .88995
.88981 .88968 .88955 .88942 .88928 .88915 .88902
.88888 .88875 .88862
.88848 .88835 .88822 .888081
.887951 .88782 • 88768i .88755, • 88741i .88728 .88715,1 88701 • 1
.88688
J~&~tl
.886471 .88634 • 8859~ .88580 .88566
.88553 .88539 .88526
.46536 .88512
.46551 .88499 .8848,'; .88472 .46639 .88458 .46664 .88445 .40090 .88431 .46716 .88417 .46742 .88404 .46767 .88390 .46793 .88377 .46819 .88363 .46844 .88349 .46870 .8833f> .46896 .88322 .46921 .88308 .46947 .88295
::~
--- -- -- -- -Cosln. Sine. Cosln. Blne. Cosln. SIne. 64°
63°
. 46947 • 46973 .46999 .47024 .47050 .47076 .47101 .47127 .47153 .47178 .47204 .47229 .47255 .47281 .47306 .47332 .47358 .47383 .47409 .47434 .47460 .47486 .47511 .47537 .47562 .47588 .47614 .47639 .47665 .47690 .47716 .47741 .47767 .47793 .47818 .47844 .47869 .47895 .47920 .47946 .47971 .47997 .48022 .48048 .48073
1
:j:: • 46381 • 46407 • 46433 .46458 .46484 .46510
28°
~~ne ..
62·
III
.48099
.48124 .48150 .48175 .48201 .48226 .48252 .48277 .48303 .48328
.48354
Cosin.
I Sine.29°Cosin.:'I
• 88295 .88281 .88267 .88254 .88240 .88226 .88213 .88199 .88185 .88172 .88158 .88144 .88130 .88117 .88103
.88089 .88075 .88062 .88048 .88034
.88020 .88006 .87993 .87979 .87965 .87951 .87937 .87923 .87909 .87896 .87882 .87868 .87854 .87840 .87826 .87812 .87798 .87784 .87770 .87756 .87743 .87729 .87715 .87701 .87687 .87673 .87659 .87645 .87631 .87617 .87603 .87589 .87575 .87561 .87546 .87532 . 87518 .87504 .87490
• 48481 • 48506 .48532 .48557 .48583
.48608 .48634
.48659 .48684 .48710 .48735 .48761 .48786 .48811 .48837 .48862 .48888 .48913 .48938 .48964 .48989 .49014 .49040 .49065 .49090 .49116 .49141 .49100 .49192 .49217 .49242 .49268 .49293 .49318 .49344 .49369 .49394 .49419 .49445 .49470 .49495 .49521 .49546 .4U571 .49596 .49f122 • 49f>47 .49672 .49697 .49723 .49748 .49773 .49798 .49824 .49849 .49874 .49899 .49924 .49950 .49975
• 87462.60 • 87448 59 .8743458 .87420:57 .87406 56 .87391155 .873771 54 .87363;53 .87349,52 .87335151 .87321 50 .B'!~ 49 .87292 48 .8727847 .87264 46 .87250 45 .8723544 .87221 43 .87207 42 .87193 41 .8717840 .87164 39
:~:m"J
38
37 .8712136 .87107 35 .8709334 .8707933 .87064 32 31 30
:~~
.8700129 .87007 28 .8699327 .8697826 .8696425
•:~24 23 .8692122 .8690621 .8689220 • 86878h9 .86863'18 • 86849!17 8683H6
: 86820 111;
.86805,14 .86791113 .8677712 .86762111 .8674810 .86733 .86719 .86704 .86690
9 8 7 6 .8OO?~ 6
.
.:~ 3 .86632 2
.48379 .48405 .48430 .48456 .874?~ .48481 .87462
.50000 .86603 0
Cosln. SIne.
Cosln. Blne.
61"
60°
.80017 1
-
,
TABLE 7.-NATUBAL SINES AND COSINES.
112
TABLB 7.-IUT1l"IlAL SINHS AND OOSINES•
• 71879 • G4078 • 71 1 . 64100 .7784J • a.U23 .71S24 .0045 .71S0H . (;4167 .04100 . 6'1212
• 767Tl .7G7.&1 . 16735 . 76711 . 7009~ . 7ti1li9 . 70061 • (l.!234 .701)42
41479-10---8
113
9 8 7 G b
TABLE 1.-NlTU1UL SINES .'Nt) COSINES.
31
.71
. 760'!'~ · iOOJ3
.7122325
.7J~2t
. 75027
. 7ll 23 .71102,22 . 71 HI 21 .71121 20
.75\JO'<
· i .i . ~9
. 75So0,
.1
.75 .1\51 •. 75;a~ 1 · [.5210 . 75 13,
.tlOOhi • G!lO!<X
:~~~ :~iR~1
· 731~~ .69100
:.73113 ~.:~~ I:~~lrll .()!)In
.6520, . 7r.73~
· 653~,() . 757W
• 7331)3 · 73373 . 1335.1 · 73333 . 73314 . 7321H • 7;lr.~
• 1i5312 . 7:i711O · li53Gt . j 5[,'<0 50 .65380 . 75W1 51 .6510!' • 75642 52 • Ii5430 • 756'.?:! 53 .1i5-15~ . 75/"JIH 54 .1i54H • 75.~'i.'i 55 . 651 ; . 7~"
Sf. • (l5.;1~ .7';'; 1;' ,
57 • 6.~5jO .75..';2, 5 .Il....-;r.~ . 7S5O'1 59 .M5~1 .7\1!~1 61) ./l,'JO)I; . '';4i!
-: Co~ ;;i~1 "0 '
_
.71284 )
·71_ .~ :Z7 .7124.1,:!6
· 7S!Ji\~ . 7500.J • 75!J.1r.
. 69J 93 . 60211
.6!I"..J;) • 6!Y.!Sf.
.09'.?7i . nil [.
• W·"'" . 7'_'a " ./\!l3W . i207J .00;140 . i$"'1 . G!l3IiI .7'203:' • G~31Q . 7'201:.i • G9lO:1 .7199:.,
• G!J.I~ I . 71 07J .f,
("osln . - 4- ' - - -
- -"":'i-·-- I
114
Cosln. Sine. 16"
.71100119 . 71 1 . 71()59 17 . 71039110 .71019'15 .71
,14
• 7097S 13 • 7OD~7 12
.70'J3 II . 7001° 10 19 .7
:~~I ~ .7
"' 0
.7 13 5. .70100 • .70772 3 .70752 2 .70(.11 1
.roiU
0
~~-
45"
TABLE S.-NATURAL· TANGENTS AND COTANGENT8.
l~
I,
3·
. 00000 Inftnl teo
.01746 .01775 .01804 .01833 .01862 .01891 .01920 .01949 .01978 .02007 .02036 .02066 .02096 .02124 .02153 .02182 .02211 .02240 .02269 .02298 .02328 .02357 .02386 .02415 .02444 .02473
• 03492 . 03:i21 .03550 .03579 .03609 .03638 .03667 .0369& .03725 .03754 .03783 .03812 .03842 .03871 .03900 .03929 .03958 .03987 .04016 .04046 .04075 .04104 .04133 .04162 .04191
.02531 .02560 .02589 .02619 .02648 .02677 .02706 .02i35 .02764 .02793 .02822 .02851 .02881 .02910 .02939 .02968 .02997 .03026 .03055 .03084 .03114 .03143 .03172 .03201 .03230 .03259 .03288 .03317 .03346 .03376 .03405 .03434 .03463 .03492
57.2900 56.3.'i06 55.4415 54.5613 53.7086 62.8821 62.0807 51. 3032 50.5485 49.8157 49.1039 48.4121 47.7395 47.0853 46.4489 45.8294 45.2261 44.0386 44.0661 43.5081 42.9641 42.4335 41.9158 41.4106 40.9174 40.4358 39.9&55 39.5059 39.0568 38.6177 38.1885 37.7666 37.3579 36.9560 36.562i 36.1776 35.8006 35.4313 35.0695 34.7151 34.3678 34.0273 33.6935 33.3662 33.0452 32.7303 32.4213 32.1181 31.8205 31. 5284 31.2416 30.9599 30.0833 30.4116 30.1446 29.8823 29.6245 29.3711 29.1220 28.8771 28.6363
Cotang.
Tang.
------ ------ ------
.00873
31 32
.00902
,
I
Tang. Cotang. , Tang. Cotang.
30
60
2·
Cotang.
.00029 .00058 .00087 .00116 .00145 .00175
34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 62 53 54 65 56 67 68 59
1· Tang.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2i 28 29
33
-
O· Tang. Cotang.
.00204 .00233 .00262 .00291
.00320 .00349 .00378 .00407 .00436 • 00465 .00495 .00524 .00553 .00582 .00611
.00640 .00669 .00698 .0072i .00756 .00785 .00815
.00844 .00931 .00900
.00989 .01018 .01047 .01076 .01105 .01135 .01164 .01193 .01222 .01251 .01280 .01309 .01338 .01367 .01396 .01425 .01455 .01484 .01513 .01542 .01571 .01600 .01629 .01658 .0168i .01716 .01746
3437.75 1718.87 1145.92 859.436 68i.549 572. 957 491.106 429.718 381. 971 343.774 312.621 286.478 264.441 245. 552 229.182 214.858 202.219 190.984 180.932 171. 885 163.700 1.'i6.259 149.465 143.237 137.507 132.219 12i.321 122.774 118.640 114.589 110.892 107.426 104.171 101.107 98.2179 95.4895 92.9085 90.4633 88.1436 85. 9398 83.8435 81.8470 79.9434 78.1263 76.3900 74.7292 73.1390 71. 6151 70.1533 68.7501 67.4019 66.1055 64.8580 63.6567 62.4992 61.3829
00.3058 59.2659 58.2612 57.2900
1
.02502
.04220 .04250
.042i9 .04308 .04337 .04366 .04395 .04424 .04454 .04483 .04512 .04541 .04570 .04599 .04628 .04658 .04687 .04716 .04745 .04774 .04803 .04833 .04862 .04891 .04920 .04949 .04978 .05007 .05037 .05066 .05095 .05124 .05153 .05182 .05212 .05241
------28. 6363 ' .05241 19.0811 00 28.3994 .05270 18.9755 59 28.1004 .05299 18.8711 58 27.9372 .05328 18.7678 57 2i.7117 .05357 18.6656 56 2i.4899 .05387 18.5645 55 2i.2i15 .05416 18.4645 54 2i.0566 .05440 18.3655 53 26.8450 05474 18.2677 62 26.6367 .05503 18.1708 51 26.4316 .05533 18.0750 50 26.2296 .05562 17.9802 49 26.0307 .05591 17.8863 48 25.8348 .056.."0 17.7934 47 25.6418 .05649 17.7015 46 25.4517 .0.'i678 17.6106 45 25.2644 . .05708 17.5205 44 25.0798 .05737 17.4314 43 24.8978 .05766 17.3432 42 24.7185 .05795 17.2558 41 24.5418 .05824 17.1693 40 24.3675 .05854 17.0831 39 24.1957 .05883 16.9990 38 24. 0263 1 .05912 16.9150 37 23.8593 .05941 16.8319 36 23.6945 .05970 16.749& 35 23.5321 .05999 16.6681 34 23.3718 .06029 16.5874 33 23.2137 .00058 16. 6075 32 23.0577 .06087 16.4283 31 22.9038 .06116 16.3499 30 22.7519 .06145 16.2i22 29 22.0020 .06175 16.1952 28 22.4541 .06204 16.1190 2i 22.3081 .06233 16.0435 26 22.1640 .06262 15.968i 25 22.0217 .06291 15.8945 24 21. 8813 .06321 15.8211 23 21. 7426 .06350 15.7483 22 21. 0056 .06379 15.6762 21 21.4704 .06408 15.0048 20 21.3369 .06437 15.5340 19 21. 2049 .06467 15.4638 18 21. 0747 .0649& 15.3943 17 20.9400 .06525 15.3254 16 20.8188 .06554 15.2571 15 20.6932 .06584 15.1893 14 20.5691 .06613 15. 1222 13 20.4465 .06642 15.0557 12 20.3253 .06671 14.9898 11 20.2056 .06700 14.9244 10 9 20.0872 .06730 14.8596 8 19.9702 .06759 14.7954 19.8546 .06788 14.7317 7 6 19.7403 .06817 14.6685 19.6273 .06847 14.0059 5 19.5156 .06876 14.5438 4 3 19.4051 .06905 14.4823 2 19.2959 .06934 14.4212 19.1879 .06963 14.3007 1 19.0811 .06993 14.3007 0
I
1.
------ - - - - - Cotang. - - - - - - - - - - - - ,Cotang. Tang. Tang.
Cotang.
Tang. 89·
88·
I 115
87·
86· ..
,
'l'... BLE 8.-lU'I'lI.... L 'UIfS.N'1'8 ... U oot'... NGEliTS.
o
Tang.
Ii
6'
Cotang';i Tang.
I
6-"
11
Cotang.
Tang.
.- - - - - - - 1 - - - - - - - - - - - o .06993 14.3007 .08749 11. 4301 .10610 9.51436 1 .07022 14.2411 .08778 11.3919 .10540 9.48781 2 .07051 14.1821 .08807 11.3540 .10569 9.46141 3 .07080 14. 1235 .08837 11.3163 . 101i19 9. 43515 4 .07110 14.0665 .088Il6 11.2789 .10628 9.40904 5 .07139 14.0079 . • 08895 11.2417 .10657 9.38307 6 .07108 13.9897 .08925 11.2048 .10687 9.35724 7 . on 97 13.8940 .08954 11.1GBI .10716 9.33155 8 .07227 13.8378 .08983 11. 131fi .10746 9.3059\1 9 .07266 13.7821 .09013 11. 0954 .10775 9.28058 10.07'286 13.7267 .09042 11.01;94 .10805 9.25530 11 .01314 13.6719 .09071 11. 0237 .108.14 9.23016 12 .07344 13.6174 .09101 10.9882 .10863 9.20616 13 .07373 13.5634 .09130 10.9529 .10893 9.18028 14 .01402 13.5098 .09159 10.9178 .10922 9.151'>54 15 .07431 13.4Il66 .09189 10.8829 .10952 9.13093 16 .07461 13.4039 .00018 10.8483 .10981 9.10646 11 .07490 13.3515 .09247 10.8139 .11011 9.08211 18 .07619 13.2996 .09277 10.7797 .11040 9.05789 19 .07548 13.2480 .09l06 10.7457 .11070 9.03379 20 .07678 19,1\169 .09335 10.7119 .11099 9.00983 21 .07M\' 13.1461 .09366 10.6783 .11128 8.1JMl8 22 .OT636 13.09681.09394 10.6460 .11158 8.96227 23 .07665 13.0468 .09423 10.6118 .11187 8.93867 24 .07t195 12.9962 • Q9.153 10.5789 .11217 8.91520 25 .07724' 12.9469 I • Q9.182 10.5462 .11246 8.89181> 26 . OT7.'l3 12. 89111 . 09511 10. 5136 . 11276 8. 86862 27 .07782 12.8496 .09041 10.4813 . 11306 8.84551 28 .07Bt2 12. SOH .09670 10.4491 .11335 8. B22.'i2 29 .01841 12.7536 .09600 10. 4172 . 11364 8.79964 30 .0I'l!70 12.7()&2 .096:19' 10.3854 .11394 8. 77~ 31.67899 12.6591 .08608 10.31138 .11423 8.75425 32 .07929 12.6124 .09&88 10.3224 .11452 8.73172 33 . U7958 12.50lI0 .09'1'17 10.2913 . 114~2 8.70931 34 .07987 12.5199 .09146 10.2602 .11511 8.68701 35 .O8()17 12.4742 .09'1'76 10.2'294 .11541 8.66482 36 .08046 12.4288 . 0ge05 10.1988 .11570 8.64275 37 • ()8(t15 12.3838 . 098.~4 10. 1683 .11600 /8.62078 38 . 0Si04 12.3390 .098G4 10.1381 .11629 8.59893 39 .08134 12.2946 .091\98 1O.101!0 . 11600 8.57718 40 .08163 I 12.2605 .09923 1O.07SO .11688 8.55555 41 .01!19'l 12.2OIIV .00!I62 10.0483 .11718 8.1i3402 42 .08221 12.1632 .0!I981. 10.0187 .1l747 8.512.19 43 .08251 12.1201 .10011 9.911931 .11777 8.49128 44 .08280 12.0772 I .10040 9.90007 . 11806 8. 47007 45 .08309 12.0346 I .10069 9.93101 . 11836 8.44896 46 .08319 11. 992.~ .10099 9.90211 .118611 8.42795 47 .08368 11.9504 .10128 9.87338 .11896 8.40706 48 .08397 11.9087 .10158 9.84482 .11924 8.38625 49 .08427 11.8673 .10187 9.81641 .11954 8.36656 ~ .08-456 11. 8262 .10216 9.78817 .1l989 8.34496 51 .08485 11.7858 .1024& 8.76009 . 12013 8.32446 52.0851411.7448 .102759.73217 .120428.30406 53 .08544 II. 7045 .10805 9.7001 . 1~ 8.2!1376 54 .08573 11.6645 . 10834 9.67680 . 12101 8.263M 55 . 0S602 11.6248 . 10363 9.64986 . 12131 8.24346
~
58 59 00 o
:: . 08G90 .08720 .08749
7'
!
Cotang. I Tang.
CotnDg.
I
0
-- .--- I-.12308 .12278 8.14435 60 8.12481 iii .12338 8.10536 . 12367 8.08600 .123978.06674 .12426 8.04756 .12466 8.02848 .12486 8. 00948 .12511. 7.9!r.WI .12544 1.97176 .125747.95302 .12603 7.9343i .12633 7.91582 .12662 7.89734 .12692 7.87895 .12722 7.86OM .12751 7.84242 .12781 7.82428 .12810 7. 80822 .128«l 7.7!1112li .12ll1l9 7. TI8.16 .1289t 1.7~ .1292111 7.73480 .12111i11 7.71715 .121188 7.89M7 . UOl7 7. Cl8208 . 13Of1 7. ~ . 13076 7.64732 .18106 7.8M85 . 13100 7.6W7 .13ffi6 7.611175 .131!6 7.1Jr372 .13224 7.66176 .13:l54 7.54487 .13284 7.52M6 .13313 7.51132 .13343 7.49465 .13372 7.4T806 .134011 7.46154 .134.-n 7.44509 .13461 7.4!2Im .13491 7.4l:!4O .13521 7.39616 .136liO 7.3",*, . 13580 7.36389 .13609 7.34786 .13639 7.33190 .13669 7.3Um ,136118 7. :lOOts .13728 7.:1i442 .13718 1.:l1li73 .13787' 1.211110 .138177.237&4 .13846 1.2'.I:IOf . 13876 7.20161 . 13906 7. 19125
58 57 ro 55 54 53 52 61 liO 49 48 47 46 46 44 43 ~
41 «I 3t 38 37 36 36 34 33 33 31 ao 29 28 21 26 25 24 23 22 21
~
111 18 17 16 16 14 13 12 II 10 • I 7 • 6
U:~~ I :t~~ g:;~~ :m~ g:~ I; :U:~ U~ ~
11.5072:.10452 11.4GB5 1 .10481 11.4301 1_.10510
Cotan~.1 Tnng. 85'
9.56791 .12219 8. HmO 9.54106 .12249 8. If,~98 9.5143G.~2278 .!I.I44M
Cotang. Tan~. 84'
1
Cotang. Tang. 83'
116
II .13995 .14024, ! .14054
7.14563 2 7.13042 1 7.l1.'j87 I~
Cotang.
Tang.
il
sao
0
'tABLE 8.-l'fA1'UBAL TANOBN1'S AND CO'I'ANORIf'M. S·
,
Tang. Co Lang.
o 1 2 3 4 6 6 7 8 o 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 211 30 31 32 33 34 35 36 37 38 39 40 41 42 43
.101054 . 1.t0804 .14113 .14143 .14173 .14200 .14232 .14262 .14291 .14321 .14351 .14381 .14410 .14440 .14470 . 14499 .14529 .14550 .1458S .14618 . 14648 .14678 • 14707 . 14737 .14767 .14796 .14826 • 14856 .14886 . 141115 .14945 . 14975 . 11iOO6 . 15034 . 11iOO4 . 15094 .15124 .15153 .16183 .15213 . 15243 .15272 • 1liSOO .15332
I
9° i 10° Tang. Cotang. I Tang. Cotang.
7.11537 .15838 7. 10038 . 15568 7.08M6 .15891l 7.07059 .15928 7.05579 15958 7.04105 .15988 7.02637 .10017 7.01174 .10047 6.99718 .10077 6. 98268 .16107 6. 96823 .16137 6.90385 .16167 6.93052 .16196 6.92525 .16226 6. 91104 .16256 6.89688 • 16286 6. 88278 .16316 6. i6874 1.16346 6.85475 .16376 6.84082 .1twOS 6.82694 . 16435 6.81312 .16465 6. 79936 . 16496 6. 78564 . 16525 6. 77199 .16556 6. 75838 .16585 6. 74483 .16615 6. 73133 .16645 6. 71189 .16674 6. 70450 . 16704 6. 69116 .16734 6. 67187 • 16764 6. 66463 . 16794 6. 65144 . 16824 6. 63831 .16854 6.62523 .16884 6. 61219 .16914 6. 50021 .16044 6.58627 .16074 6. 67339 .17004 6. 60055 . 17063 6. 64777 .17063 6. 5.1503 • 17093 6.52234 .11123
~ :~~~ ~~ig I :m~ 46 .15421 6. 48456 . 17213 47 48 49 50 61 52 53 64 65 56 67 53 59 i~
.
j
,
.15451 .15481 .15511 .15540 .15670 .l.'i6OO .1li63O .1li66O .15689 .15119 .15749 .15779 .1.1809 .1.>338
6. 47206 6. -4.5961 6. 44720 6. 43484 6.42253 6. 41026 6. 3Il804 6. 38687 6. 37374 6.3IIl65 6. S4Il(1l 6. 33761 6. 325n6 6.31375
6. 31375: 6. 30189 6.29007 6. 27829 6.26655 6.25486 6. 24321 6. 23100 6.22003 6. 20851 6. 19703 6. l8559 6.17419 6.16283 6. 15151 6. 14023 6.12899 6.11779 6. 10664 6.09552 6.08444 6.07340 6. 06240 6. 05143 6. 04051 6. 02962 6. 01878 6. 00797 6. 99720 5. 98646 5. 97576 6. 06510 6. 95448 5.94390 6. 93335 5. 92283 5. 91236 5. 90191 5.89151 6.88114 5. 87080 5. 8tlO51 5. 85024 5. 84001
t=
5. 80053 .17243 5. 79944 .17273 5. 78938 .17303 5. 77936 .17333 5. 76937 .11363 5.75941 .17393 5.74049 .17423 5. 73960 .17453 5. 72074 .17483 5. 71992 .175135.71013 .17543 6.70037 .175i3 5. 60064 .17603 5. 6R094 .17633 5.67128
Cow.g. Tang. IColang. Tang. 31" SOo
.17633 • 17tlG3 .17693 .17723 .17753 .17783 .17813 .17843 .17873 .17903 .17933 .17963 .17993 .18023 .18053 .18083 .18113 .18143 .18173 .1&203 . 18233 .18263 . 18293 . 18323 .18353 .18384 .18414 . 1844.4 .18474 . 18504 .18534 . 18564 . 18594 .18624 . 18654 • 18684 .18714 . )8745 .18776 .18B06 . l8835 .1S866 • l8896 .18925
II
11°
Tang.
Cotang.
'
5.67128 .19438 5.14455 5.66165 . 1<1468 5. 13G5S 5.65205 .19498 5.12862 5. 64248 .19529 5.12069 5. 63295 .19559 5. 11279 5.62344 .19580 5. 10490 5.613\17 .19610 5. 00704 5.00452 .19640 6. 081121 5. Ml511 .10080 5. 08139 5. ~73 .19710 5. 07360 5. 57638 .19740 5. OG584 5. 56766 .19770 5. O®l!l 5.5lfT77 . 19S01 5.06037 5. 54851 1.19831 5. 04267 5. 53927 .19861 5. 03499 5.53007 . 19891 5.02734 5. 52090 .19921 5. 01971 5. 51176 .19052 5.01210 5. 50264 .19082 5.00451 5.49356 .20012 4. 991)95 6. 48451 .20042 4. 98940 6. ~548 .20073 4. 98188 5. 46I.l48 .20103 4. 97-438 5. 45751 • 20133 4. Q669() 5. 44857 .20164 4.1IIi945 5. 43Il66 .20194 4. Q.S201 5. an7 . 2Qn44. ~400 5. 42192 • ~504 4. 93721 5. 41309 .20285 .4. 92984 5. ~ . 20315 4. 92249 6. 89552 .20345 4. 91516 5. 38677 .20376 4. 90785 6. 371i05 .20406 4.90056 5. 36036 .20436 4. 89.'\30 5.36070 .204fJ6 4.88605 5. 35206 .20497 4. 87882 5. 34345 .20527 4. 87162 5. 33487 .20557 4. R6444 5.32631 .20538 4. 85727 5.31778 .20618 4. 85013 5.30928 .20648 4.84300 5. 30080 .20679 4. 83990 5. 29235 . 20709 4. S2882 5. 28393 .20730 4. 82175
CO 59 53 57 56 65 64 53 52 51 50 49 48
:=
:~= t~m
~
46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17
!.~~ ~~
. 19016 5. 25'l8O .20830 4. 80068 14 .19046 5. 25048 .20801 4.79370 13 .10076 5. 24218 .20891 4.78673 12 .1.9106 5. 23391 .20921 4. 77978 11 .19136 5.22566 .20962 4. 77286 10 .1.9166 6.21744 .2Ql8\! -4.76695 9 .19197 6.20025 .21013 4.75906 8 .19227 6. 20107 .21043 4. 75219 7 .19257 5. Hl293 .21073 4.74534 6 .11l1287 5. 18480 .21104 4.73851 6 .193175.17671 .211344.731704 .19.347 5.16&33 .21164 4.72490 3 .19378 5. 1C058 .21195 4.71813 2 .19408 5. 152.56 .21225 4. 71137 1 ..:....~~ 5.H455I'~~ 4.70463 _o_ Cobwg.
117
'rang. ;Cobwg.
70°
II
Tang. 78°
,
TABLE 8.-NATURAL TANGENTS AND COTANGENTS.
,
12" Tang.
I
Cotang.
------ - -.21256 4.70463 0 1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33
34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 00 51 52 53 M 55 56 57 58 59 00
,
.21286 .21316 .21347 .21377 .21408 .21438 .21469 .21499 .21529 .21560 .21590 • 21G21 .21651 .21682 .21712 .21743 .21773 .21804 .21834 .21864 .21895 .21925 .21956 .21986 .22017 .22047 .22078 .22108 .22139 .22169 .22200 .22231 .22261
-- .21087 .23117 .23148 .23170 .2320. .23240 .23271 .23301 .23332 .23363 .23393 .23424 .23455 .23485 .23516 .23547 .23578 .2300R .23639 .23670 .23700 .23731 .23762 .23793
4.69791 4. f).Q121 4.68452 4.67786 4.67121 '1.66458 '1.65797 •. 65138
4.G4480
•. 63825 4.63171 4.62518 4.61868 4.61219 4.60572 4.59927 4.59283 4.58641 4.58001 •. 57363 4.56726 4.56001 4.55458 4.54826 4.54196 4.53568 4.52941 4.52316 4.51693 4.51071 4.50451 4.49832 4.49215 .22292 4.48600 .22322 4.47986 .22353 4.47374 .22363 ' 4.46764 . 22H4 4.461.';5 .22444 4.45548 .22475 4.44942 .22505 4.44338 .22536 4. 4373S .22567 4.43134 .22f1J7 4·.42534 • 22628 4.41936 .22658 4.41340 .22689 4.40745 .22719 4.40152 .227.10 4.39560 .22781 4.38969 .22811 4.38381 .22842 4.37793 .22872 4.37207 .22903 4.36623 .22934 4.36040 .22964 4.35459 .22995 4.34879 .23026 4.34300 .23056 4.33723 .23087 4. 331481
Cotang.
.23823
.23885 I'~~
'rang.
77"
13" 'l'ang.
.23916 .23946 .23977
.24008 .24039 .24069 .24100 .24131 .24162 .24193 .24223 .24254 .24285 .24316 .24347 .24377 .24408 .24439 .24470 .24001 .245;12 .24562 .24593 .24624 .24655 .24686 .24717 .24747 .24778 .24809 .24840 .24871 .24902 .24933
Cotang.
II
14"
I
Cotang·1 Tang.
4.33148 I .24933 4.01078 4.32573 I .24964 4.00582 4.32001 ' .24995 4.00086 4. 31430 ~ .25026 3.99592 4.30860 1 .25056 3.99099 . ;!5087 3.98607 4.30291 .25118 3.98117 4.29724 .25149 3.97627 4.29159 4.28595 .25180 3.97139 .25211 3.96651 4.28032 .25242 3.96165 4.27471 4.26911 .25273 3.95680 4.26352 3.05196 .~ 4.25795 .25335 3.94713 4.25239 .25366 3.94232 4.24685 1 .25397 3.93751 4.24132 .25428 3.03271 4.23580 .25459 3.92793 .25490 3.92316 4.23030 4.22481 .25521 3.91839 4.21933 .25552 3.91364 .25583 3.90890 4.21387 4.20842 .25614 3.90417 .25645 3.89945 4.20298 4.19756 .25676 3.89474 4.19215 .25707 3.89004 4.18675 .25738 3.88536 .25769 3.88068 4.18137 4.17600 .25800 3.87601 4.17064 .25831 3.87136 4.16530 .25862 3.86671 4.15997 .25893 3.86208 4.15465 .25924 3.85745 4.14934 .25955 3.85284 •. 1440.5 .25986 3.84824 4.13877 .26017 3.84364 4.13300 .26048 3.83906 4.12825 .26079 3.83449 4.12301 .26110 3.82992 4.11778 .26141 3.825.37 4.11256 .26172 3.82083 4.10736 .26203 3.81630 4.10216 .26235 3.81177 4.0%99 .26266 3.80726 4.09182 .26297 3. 80~76 4.08666 .26328. 3.79827 4.08152 .26359 3.79378 .2C,390 3.78931 4.07639 4.07127 .26421 3.78485 4.06616 .26452 3.780,10 4.06107 .26483 3.77595 4.05599 .26515 3.77152 4.05092 .26546 3.76709 4.04586 .26577 3.76268 3.75828 •. 03578 .26639 3.7531!8 4.03076 .26670 3.749.10 4.02574 .26701 3.74512 4. 02074 • 26733 3.74075 4.01576 .26764 3.73640 4.01078, 26795 3.73205
'~M'
Tang.
70"
• 26795 .268'£ .26857
.28612 .28643 .28675
3. 73205 3.7Z771 3.72338 3.71907 3.71476 3.71046 3.70616 3.70188 3.69761 3.693.'l5 3.08909 3.68485 3.68061 3.67638 3.67217 3.00796 3.66376 3.65957 3.65538 3.65121 3.6470.5 3.64289 3.63874 3.63461 3.63048 3.62636 3.62%24 3.61814 3.6140.5 3.60996 3.60588 3.60181 3.59775 3.59370 3.58966 3.58562 3.58160 3.57758 3.57357 3.56957 3.56557 3.56159 3.55761 3.55364 3.54968 3.54573 3.54179 3.53785 3.53393 3.53001 3.52609 3.52219 3.51829 3.51441 3.51053 3.50666 3.00279 3.49894 3.49509 3.49125 3.48741
Cotang.
Tang.
.26888 .26920 .26951 .26982 .27013
.27044 .27076 .27107 .27138 .27169 .27201 .27232 .27263 .27294 .27326 .27357 .27388 .27419 .27451 .27482 .27513 .Z7545 .27576 .27607 .27638 .27670 .27701 .27732 .27764 .27795 .27826 .278.';8 .27889 .27921 .27952 .27983 .28015 .28046 .28077 .28109 .28140 .28172 .28'i03
.28234 .28266 .28297 .28329 .28360 .28391 .28iI23 .28454 .28486 .28517 .28549
1_ I.
i Cotang.
Tang.
11---76" US
I·
16" Tang., Cotang. _'_
Cotang.
------
.28580
'00 59 58 57 56 55 54 53 52 51 00 49 48 47 46 45 44
43 42 41 40 39 38 37 36 35
34 33 32 31 30 29 28 27 26 '25 24 23 2'J 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
0
- - - - - - -1 -
I
7""
,
TABLB 8.-NA.TURAL TANGENTS AND COTANGENTS.
,
0"
16·
17·
18·
Tang. Cotang.
Tang. Cotang.
Tang. Cotang.
• 30573 .30605 .30637 .30669 .30700 .30732 .30764 .30796
• 32492 .32524 .32556 .32588 .32621 .32653 .32685 .32717 .32749 .32782 .32814 .32846 .32878 .32911 .32943 .32975 .33007 .33040 .33072 .33104 .33136 .33169 .33201 .33233 .33266 .33298 .33330 .33363 .33395 .33427 .33460 .33492 • :13524 .33557 .33589 .33621 .33654 .33686 .33718 .33751 .33783 .33816 .33848 .33881 .33913 .33945 .33978 .34010 .34043 .34075 .34108 .34140 .34173 .34205 .34238 .34270 .34303 .34335 • 343f>8 .34400 .34433
------- -------
.28675 1 .28706 2 .28738 3 .28769 4 .28800 6 .28832 6 .28864 7 .28895 8 '.28927 9 .28958 10 .28990 11 .29021 12 .29053 13 .29084 14 .29116 15 .29147 16 .29179 17 .29210 18 .29242 19 .29"274 20 .29305 21 .29337 22 .29368 23 .29400 24 .29432 25 .2941'>3 26 .29495 27 .29526 28 .29558 29 .29590 30 .29621 31 .29653 32 .29685 33 .29716 34 .29748 35 .29780 36 .29811 37 .29843 38 .29875 39 .29906
40
.29938
41 42 43 44 45 46 47 48 49
.29970 .30001 .30033 .30065
60 51 62 63
64 55 56 57 68 69
.30097 .30128 .30160 .30192 .30224 .30255 .30287 .30319 .30351 .30382 .30414 .30446 .30478
.30509 .30541 .30573
3.48741 3.48359 3.47977 3.47596 3.47216 3.46837 3.46458 3.46OBO 3.45703 3.45327 3.44951 3.44576 3.44202 3.43829 3.43456 3.43081 3.42713 3.42343 3.41973 3.41604 3.41236 3.40869 3.40502 3.40136 3.39771 3.39406 3.39042 3.38679 3.3R317 3.37955 3.37594 3.37234 3.36875 3.36516' 3.36158 3.35800 3.35443 3.35087 3.34732 3.34377 3.34023 3.33670 3.33317 3.32965 3.32614 3.32264 3.31914 3.311;65 3.31216 3.30868 3.30521 3.30174 3.29829 3.29483 3.29139 3.28795 3.28452 3.28109 3.27767 3.27426 3. 27085
.3iJ828 .30860 .30891 .30923 .30955 .30987 .31019 .31051 .31083 .31115 .31147 .31178 .31210 .31242 .31274 .31306 .31338 .31370 .31402 .31434 .31466 .31498 .31530 .31562 .31594 .31626 .31658 .31690 .31722 .31754 .31786 .31818 .31850 .31882 .31914 .31946 .31978 .32010 .32042 .32074 .32106 .32139 .32171 .32203 .32235 .32267 .32299 .32331 .32.'l63 .32396 .32428 .32460 .32492
3. 27085 3.26745 3.26406 3.26067 3.25729 3.25392 3.25055 3.24719 3.24383 3.24049 3.23714 3.23381 3.23048 3. 22715 3.22384 3.22053 3.21722 3.21392 3.21063 3.20734 3.20406 3.20079 3.19752 3.19426 3.19100 3. 18n5 3.18451 3.18127 3.17804 3.17481 3.17159 3.16838 3.16517 3.16197 3.15877 3.15558 3.15240 3.14922 3.14605 3.14288 3.13972 3.13656 3.13341 3.13027 3.12713 3.12400 3.12087 3.11775 3.11464 3.11153 3.10842 3.10532 3.10223 3.09914 3.09606 3.09298 3.08991 3.08685 3.08379 3.08073 3.07768
.34433 .34465 .34498 .34530 .34563 .34596 .34628 .34661 .34693 .34726 .34758 .34791 ~:t1~g .34824 3.03854 .34856 3.03556 .34889 3.03260 .34922 3.02963 .34954 3.02667 .34987 3. ()?-372 .35020 3.02077 .35052 3.01783 .35085 3.01489 .35118 3.01196 .35150 3.00903 : .35183 3.00611 .35216 3.00319 .35248 3.00028 .35281 2.99738 .35314 2.99447 .35346 2.99158 .35379 2.98868 .35412 2.98580 .35445 2.98292 .35477 2.98004 .35510 2.97717 .35543 2.97430 .35576 2.97144 .35608 2.96858 .35641 2.96573 .35674 2.96288 .35707 2.96004 .35740 2.95721 .35772 2.95437 .35805 2.9515,5 .35838 2.94872 .35871 2.94591 .35904 2.94309 .35937 2.94028 .35969 2.93748 .36002 2.93468 .36035 2.93189 .36068 2.92910 .36101 2.92632 .36134 2.92354 .36167 2.92076 .36199 2.91799 .36232 2.91523 .36265 2.91246 .36298 2.90971 .3G331 2.90096 .36364 2.90421 .30397
3.07464 3. 07160 3.06857 3.06564 3.06252 3.05950 3.05649 3.05349 3.05049 3.04749
,
Tang.
71·
72· ,
)
119
19· Tang. Cotang.
3.07768
60 ------ ._----Cotang. Tang. Cotang. Tang. Cotang.1
73· ,
I
I
2.90421 2.90147 2.89873 2.89flOO 2.89327 2.89055 2.88783 2.88511 2.88240 2.87.970 2.8nOO 2.87430 2.871.61 2.86892 2.86624 2.86356 2.86089 2.85822 2.85555 2.85289 2.85023 2.84758 2.84494 2.84229 2.83965 2.83702 2.83439 2.83176 2.82914 2.82653 2.82391 2.82130 2.81870 2."81610 2.81350 2.81091
2.80833
2.80574 2.80316 2.80059 2. 191m 2•. 79545 2.79289 2.79033 2.78778 2.78523 2.78269 2.78014 2.77761 2. n507 2.77254 2.77002 2.76750 2.76:198 2.76247 2.75996 2.75746 2. 75496 2.70246 2.74997 2.74748
, 60 59
58 57 56 55 54 63 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37
36 35 34 33 32 31 30 29 28 27 26 25 24
23
I
,
22 I 21 20 ! \9 18 , 17 Hl 15
Ui f3 12 11 10 jl
8 7 6 •5
11
3 2 '1 '0
- ' - --I----' Cotang. _Tang. ,. 7~·
j
in M'I'1:\IIGft'I'8.
TABLB 8.-IU'ftlBU "AN8!fts 20· Tang. Cotang.
22·
21" Tang. Cotang.
Tang. Cotang.
------ ------ ------0 .36397 2.H748 .38886 2.00609 .4Gt03 1 2 3 4
.36430 .36f63
.36f96 .36629
(,
.361i62
6 7
.36695 .36628
8 II
.:16661
10
11 12 13 14
15
16· 17 18 19 20 21 22
.361114
.3fUZl .36760
.367o."l .36826 .368/;'11 .36892
.36W25 .36968 .361191 .37004 .37057
2. 74~99 2.74251 2.741104 2.7:\766 2. ,:a,'I09 2.7:1:163 2.1JlOl1 2.1:1171
.38420
2.f:0283
.38463 .3St87 .38020
2.1~1157
2.n'i26 2.7Z281
.38Il87
2.7200II 2. 71792 2. 7·l548 2.71305 2.71062 2.70819 2.70517 2.70335 2.70094 2.69853
.38154 .38787 .388l1
24 26
'l7
118 29
30 31
35
86 37
38 39
.37190 .37223 .37256 .37289 .31322
.3r.155 •:J1388 .37422
2.67225
.37488 .37621 .31554 .37Ji88 .37621
2.66752 2.66516 2.66281 2.66046 2.65811 2.65576 2.65342 2.65109
.3765~
.3700
.31720
46
.37154 .37787 .37820 .37853 .37887
off,
.37920
~
(7 48
49 50 51 52
53 54 55 66 57 58
M
.37953 .37986 .38020 .38053
.38086
.381~ .3815.~
.38186 .S8220 .38253 .38286
.3&120 .38353
60 .38386 -, CotaDg.
....
.38888 .38921 .38955 .38988
.39022 .39055 .39122 .39156 .39190 .39223 .3112S7 .39290 .39324 .39357 .39391 .39425 .39458 .39492 .39626 .395S11 .39693
~1
43
.381\54
.390811
40
42
.38721
.37123
32 .37465 2. 6e989 33 34
.38i87 .38620 .38664
.37090
23 .37157 25
.~
2.64875 2.64642 2.64410 2.64177 2.1\3\145 2.63714 2.63483 2.63252 2.63021 2.62791 2.62561 2.62332 2.62103 2.61874 2.61646 2.61418 2.61190 2.60003 2.00736 2. r.0509
Tang.
00·
.31162tl
.30060
.39OOt .39727 .39761 .39795 .39829 .39862 .39896 .39930
.311963 .3Il997 .40031
.40065 .40098 .40132 .40106 .40200 .40234 .40267 .4Q.101 .40335 .4IXlC,9 .4Gt03
2.1\1Ii<Jl 2•.WIOO 2,~1
2. !I{I166 2.Jl!'Jil2
2.1I~708
2.n484
2 ••J~2:61 2.1l8Q68 2.57815 2.571193 2.57371 2.57150 2.56928 2.66707 2.66487 2.56266 2.56046
.40436 .40470 .~
23· (',otanI!.
T8ng~
.42+17 .42482 .42516 .~2&51 .~
.40538 .40572
.40806
.42619 .42654
.-t0640 .4Q674 •..f(J7rt1 .40741
.d122 .6157
.~
.42191
.4M15 2.46246
.4Il809
2.ti043
•./Ii](fi1
2.441).~6
. .to&I3
::ll .401179 .41013 .41047 • 41OS1
2.~839
2.~33
2.+1200 2.4402'7 2.43&25 2.43623 2.43422
.~2826
.42860 .42894 .~
.42963 .42998 .43032 .43067 .43101 .43136 .4&170
.~l1f5 2.65827 2.654108 .411411 .4lW5 2.65389 .41183 .432311 2.6&170 .41217 .4327~ .41251 2.64952 .43308 .~12S5 2.64734 .43343 2.64516 .413111 .43378 2.54299 .41353 • .a412 .41387 2.64082 .43447 2.53865 .41421 .43481 2.53M8 .41456 2.41223 .43516 2.53432 .~1490 2.41025 .43650 2.53217 .41524 2.408Z7 • 43&R.S 2.63001 .41558 2.~0629 .~3(j2O 2.57186 .41S92 2.40432 .43IiM .41626 2.40235 2. 52.S71 .431!89 .41660 2.40008 .43724 2.52357 .41694 2.39841 2.52142 .43758 2.51929 .41728 2.39645 .43793 51715 .41763 2.39~9 ' .43828 2. 1 2.51502 .41797 2.39253 .438(,2 .41831 2,39058 .43897 2.51289 2.51076 .418U6 2.38863 .431132 2.50864 .41899 2.38668 .43006 .41933 2.38473 2.500.S2 .44001 2.50«0 .41968 2.38279 .44036 .~2002 2.38084 2.50229 .~1 2.50018 .42036 2. 37l!91 .~I05 .42070 2. 37t97 2.49807 .44140 2.49597 .42105 2.31504 .44175 2.40086 .42139 2.37311 .~21O 2.'49177 .42173 2.37118 .44244 2.48967 .42207 2.36925 .442711 2.48758 .42242 2.86733 .4431( .42276 2.36541 2.48549 .44349 2.48340 .42310 2.31'>349 .443114 .4~5 2.36158 .444111 2.48132 .42379 2.35967 2. 47924 .~453 2.47716 .42413 2.35776 .44488 .42447 . 2.35585 .4452.1 2.47500
- - - ._--
Cotang.
I
2.35585 2.35396 2.35205 2.35015 2.34825 2.34ti36 2.34447 2.34258 2.34969 2.:13881 2.33693 2.335(j5 2.33317 2.33130 2.3294~
2.32756 2. 32570 2.3Zl83 2.32197 2.32012 2.31826 2.31641 2. 31456 2.31711 2.31086 2.30902 2.30718 2.30534 2.30351 2.30167 2.29984 2.29fi01 2.29619 2.29437 2.29254 2.29073 2.28891 2.28710 2.28628 2.28348 2.28167 2.7191!7 2.711ll6 2.27626 2.21~7
2.71267 2. 27088 2.2f.909 2.261a0 2.26652 2.26374 2.26196 2.20018 2.25840 2.26&3
120
(0
59 58 57 56
is 54 53 62 51 50 49 .(8
47 46 45 ~
43 42 41 40 39 38 37
36 35 34 33
32 31 30 29
28 Z7
26
25
24
23
22 21
20 19 18 17 16 }6
14 13
12 11
10
II 8 7 6
2.~86
Ii
2.253C9 2.25132 2.24956 2.24780 2.24604
(
--- --- ---
Tang. I Cotang. Tang. I('~. Tang. 87· 00· I
--88-·--1
-
3 2 1 0
-
TABL'JIl '8.-NATUa'U "~8 ltND flOTAW9BJf'I'S.
I
.!I
24° P 25° 26° ' , __ . Tang. Cotang.1 Tang. cotan g Tang. ! Cotang.
I
o 1 2 3 4
.44523 .44551! .44693 .44662
7
.4..G7
.44627
2.:l4OO41
2. 24428 2.24252 2.240771 2.23902
2. 23378 2.23204 .44S3'{ 2.23030 10 .44872 2.22857 11 .44907 2.22683 12 .44942 2.22510 13 .44977 2.22337 14 .40012 2.22164 15 .45047 2.21992 16 .4r082 2.21819 17 .45117 2.21647 18 .46152 2.21475 19 .45187 2.21304 20 .45222 2.21132 21 • .al57 2.20961 22 .45292 2.20790 23 .45327 2.20619 24 .45362 2.20449 26 .45297 2.20278 26 .45432 2. 201~ 27 .45467 2.1GG38 28 .45002 2.19769 29 .45638 2.19699 30 .45573 2. 19430 31 .4SiIl! 2.19261 32 .45M3 2.19092 33 .45678 2. 11m3 34 .45713 2.18755 35 .45748 2.18587 36 .45784 2.18419 37 .45819 2.18251 38 .45854 2.18C84 39 .45889 2.171H6 40 .46924 2.17749 41 .46960 2.17682 42 .4aK15 2.17416 43 .46030 2.17249 44 .46066 2.1700 45 :46101 2. HlU17 46 .46136 2.16751 47.461712.16585 48 .46206 2.1Gf20 49 .-46242 2.16255 50 .46277 2.16090 51 • 46312 2. lliQ25 52 .46348 2.15760 53 .46383 2. 15696 M .46418 2.1543l1 55 .46451, 2. 15268 56 .46489 2.16l.04 57 • 46525 2. 14940 58 .46IiOO 2.14777 69 .46696 2.14614 ~ .46631 2. 14451 . «800
c..tang. TaDg. ' . 8 00
2.14451 I .487i3 ' 2.05030 2. 14288 i • 4B809 2. 04879 2.14125 I .48846 2.04728 2.13963 .48881 2.04577 2.13801 .48917 2.04426
.50953 • 50989 .51026 .61063 .61099
.46879
2. 13316 2. 131M 2.1m3 2.12832 2. 12671 2. 12511 I 2. 12350, 2. 12190 i 2. 120.10 2.11871 2.11711 2.11552 2.11392 2.11233 2.11075 2.10016 2.10758 2.10600 2.10442 2.10284 2.10126 2.tli969
. 51209 .51246 .51283 .51319 .51a56 .51393 .51430 .51467 .51503 .51MO .51577 .51614 .5U151 .51688 .51724 .51761 .51798 .51&35 .Si8i2 .51goo .51946 .51983
.46914 .M\Q5O
1.96261 1. 961~ 1. 959,9 1. 95838 1. 95698
160
I 69
,58 157 I 56
~:t~~ :~~ ~:g:m :~m~ U~ft I~ . 40026 .40062
.40098 .49134 .49170 .4U206 •~ .49278 .49316 .49351 .49387 .49423 .49469 .49495 .49632 .49668 .49604 .49640 .49677 .49713 .49749 .49786 .49822 .49858 .49894 .49931 .49967 .1iOOO4 .liOO4O .1iOO76 .50113 1.50149 .50186
2. 03975 2.03825 2.03675 2.03526 2.03376 2.03227 2.03078 2.02929 2.02780 2.02631 2.02483 2.02335 2. 00187 2.02039 2.01891 2.01743 2.0U96 2.01449 2.01302 2.01155 2.01008
.46985 .47021 .47056 .47092 .47128 .47163 .47199 .47234 .47270 .47305 .47341 .47377 .47412 .47448 .47483 .47519 .475.56 .47590 .47626 2.~62 .47662 2.~11 2.00715 .47698 2.09654 2.00569 .47733 2.09498 2.00423 .47769 2.09341 2.00077 .41806 2.09184 2.00131 .47840 2.09028 1.99986 .47876 2. ffi872 1.119841 .47912 2. M716 1. 99695 .47948 2.Mfi60 1.99Ii5O .47984 2.M405 I.GQt06 .4ilC10 2.!Vl25O 1. 99£61 .48055 2.08094 .50222 1.99116 .48Q01 2.07039 .60258 1.98972 .-48127 2.07785 1'1i0296 1.98828 .48163 2.07630 i .50331 1.98684 .48198 2.07476 .[,0068 1.98540 .482.'14 2.07321 .60404 1. 98396 .48270 2.07167 .50441 1.98253 .48306 2.07014 .1iOi77 1.98110 .483422.06860 .605141.97966 .48378 2.06706 . ro55O 1.97823 .48414 2.06553 .50587 1. 97681 • 48450 2. 08400 • 50623 1. 97638 .48486 2.96247 .50660 1.97395 .48521 2.06094 .50696 1. 97253 .48557 2. 0Ii942 .50733 1. 97111 .4859B 2. 05'f90 .50769 1.96969 .48629 2.05637 . flM06 1. 96827 • 48665 2. 05485 . 50643 1. 96685 .48701 2.05333 • ro879 1. 96044 .48737 2.05182 .50916 1. 91\402 .48773 2. 05030 ~1iOO53_ 1. 96261
I
I
27° , Co tang. _
.46631 • 46666 .46702 .46737 .46772
::=
~ :::~~ ~:~
8 9
Tang.
Cotang. Tang. !'Cotang. Tang. 64° &3°
II
lZl
.50020
.52057 .62094
.62131 .62108 .52205 .52242 .52279 .62316 .&353 .52390 .52427 .62464 .62501 .52538
.52576 .62613 .52650
.62687 .52724 .52761 .52798 . 52i36 .52873 .62910 .62947 .52985 .53022 • 53069 .53096 .5al34 .53171
1. 95277 53 1.00137 62 1.94997 51 1. 948.58 50 1.94718 49 1. 94.'i79 48 1. 94440 47 1. 94301 46 1. 94162 45 1.1MIl23 44 1.911885 43 1.93746 42 1. ~ 41 1.93470 40 1.93332 39 1. 93195 38 1. 93057 37 1. fl292(J 36 1.'92782 35 1.92645 34 1. ~ 33 1.92371 32 1.92235 31 1. 92008 30 1. 91962 29 1. 91826 28 1. 91690 27 1.91554 26 1.91418 25 1. 91282 24 1.91147 23 1.91012 22 1. i0876 21 1.90741 20 1.90607 19 1.90472 18 1.90337 17 1.90203 16 1. 90069 15 1. 89935 14 1.8QIlO1 13 1.89116712 1. 89633 11 1. 89400 10 1. 811266 9 1.89133 8 1. 89000 7 1. 88867 6 1. 88734 5 [ 1. 88602 4 1. 88469 3 1.88337 2 1. 88205 1 1. 88073 ~
I Cotang.1
I
Tang. 62°
'
TABLE 8.-NATURA.L TAN&BNT8 AND COTAN&ENTS.
I
28"
I
30" 31' 29° 1 Co tang. Tang. Cotang. Tang. Cotang. - - - - - - -,I----=-:- - - ~---
I
Tang. Cotang. 0 1 2
3 4 5 6 7 8 9
.53171 .5.1208 • 53246 .53283 • 53320 .53358 • 53395 .53432 .53470 .53507
10 .53545 .5.1582 .53620
11 12 13 14 15 16 17 18 19 20 21 22 23
24 25 20 27 28 29 30 31 32 33 34
35 30 37 38 39 40 41
42 43 44 45
40 47 48 4Y
50 51 52 53 54 55 50 57 5S 59 UO
.53M7 .53694 .53732 .53769 .5:l807
.53844 .53882 .539'20 .5.1957 .53995 .54032 .54070 .54107 .54145 .54183 .542"..0 .54258
.54296 .54.'1.13 .54371 .54409 .54446 .54484 .54522 .54560 .54597 .54635 .54673 .54711 .54748 .54786 .54824 • 54S02 ..~4900 .54938 .51975 .55013 .55051 .55089 .55127 .55165 .05203 • 552H .55279 .5;;.117 .5.;355 .55.193 .05431
1.88073 1. 87941 1. 87809 1. 87677 1. 87546 1.87415 1. 87283 1.87152 1.87021 1.86891 1.86700 1.86630 1.86499 1.85369 1.86239 1. SOI09 1. 85979 1. 85850 1.85720 1. 8.5591 1.85462
.55431 .55469 .55507 • 55545 .55583 .55621 .55659 .55697 .55736 .557H .55812 .55850 .55888 .55926 .55964 .56003 .56041 .56079 .56117 .56156 .56194
1. 85333 1.85204 1.85075 1. 84946 1.84818 1.84689 1.845Gl 1.8443-1 1.84305 1.84177 1.S4049 1.83922 1. 83794 1.83667 1.83540 1. 83413 1.83286 1. 83159 1.83033 1. 82906 1. 827SO 1. 82654 1. 82528 1. 82402 1. 82276 1.112150 1.820"..5 1.81899 1.81774 1. 81649
.56232 .56270 .56.109 .56.147 .56385 .56424 .56462 .56501 .5M39 .56571 .56616 .56654 .5669:\ .56731 .56769 .56808 .50846 .56885 .56923 .50962 .57000 .57039 .57078 .57116 .57155 .5719.1 .57232 .57271 .57~09
1. 81524 1.81399 1.81274 1. 81150 1. 810'lS 1. 80001 1. 80777
.57348 .57.186 .57425 .57464 .57503 .57541 . 575SO .57619
1. soro53
•57Co57
1. 8!l529 1.804!l5
. 57C,OO .577:15
---- --Cotang. Tang. I Cotang. I
61'
I
Tang.
I
1. &>4051 1. 80281 1. S0158 1. 80034 1.79911 1. 79788 1. 79665 1. 79542 1. 79419 1.19296 1. 79174 1.79051 1. 78929 1.78807 1. 78685 1 78563 1. 78441 1. 78319 1. 78198 1. 7S077 1. 77955 1. 77834 1. 7771.1 1. 77592 1. 17471 1. 77351 1. 77230 1. 77110 1. 76990 1. 76869 1. 76749 1.76629 1. 76510
1.7C.390 1. 76271 1.76151 1. 76032 1. 75913 1. 75794 1. 75675 1.75556 1. 75437 1. 75319 1. 75200 1.7.';082 1. 74964 1. 74846 1. 74728 1. 74610 1. 74492 1. 74375 1.74257 1.74140 1. 74022 1. 7.19!l5 1. 73788 1. 73671 1.7~
1.73-138 1. 73.121 1. 73205
.57735 .57774 .57813 .57851 .57890 .57929 • 579
1. 73205 • 60086 1. 73089 • 60126 1.72973 .60165 1. 72857 • 60205 1. 72741 • 60245 .60284 1. 72025 1. 72509 : .60324 1. 72393 ' • 60364 1. 72278 .60403 1. 72163 .60443 1. 72047 .60483 1. 71932 .60522 1. 71817 .60562 1. 71702 .00602 1. 71588 • ClO&42 1. 7147.1 .60681 1. 71358 .6Oi21 1. 71244 .em61 1. 71129 .60S01 1. 71015 .00841 1.70901 .60881 1.10787 .60921 1. 70073 .60900 1. 705£0 .61000 1. 70446 .61040 1. 70332 .61080 1.70219 .61120 1. 70106 .61160 1. 69992 .61200 1. 69879 .61240 1.69i66 .61280 1. 696,';,1 .61320 1. 69541 .61360 1.69428 .61400 1. 69316 .mHO 1. 69203 • 614SO 1. 69091 .61520 1.f>8979 .61561 1.68866 .61601 1.68754 .61641 1.68643 .61681 1.68531 .61721 1. 08419 .61761 1.68308 • 61S01 1.68196 .61842 1.68085 .61882 1.67974 .61922 1.6786.1 .01962 1.67752 .62003 1. 67641 .62013 1.67530 .62083 1. 67419 • e.2124 1. G7309 .02164 1. 67198 .62204 1. 67088 .62"..45 1. 66978 .62285 1.66867 .62325 1. 00757 .62366 1.f>0047 .62406 l.6Co5~ .6244C, 1.66428 .62487
I
.60086 ------Tang. , Cotang. Tang. iCotang.
60"
iI 122
59'
I
1. 00428 1. 66318 1. 66209 1. 6COO9 1. G5990 1. 65881 1. 65772 J. 6561;3 1.65554 1. 65445 1. 65337
1.65228 1. 65120 1.65011 1. 64903 1.64795 1.f>4687 1.64579 1.64471 1.64363 1.64256 1. 64148 1. 64041 1. 6.1934 1.63826 1.63719 1. 63612 1.63505 1. 03398 1. 63292 1. 63185 1.63079 1.62972 1. 62R66 1.62760 1. 62654 1.62548 1. 62442 1.62336 1.62ZlO 1. 62125 1. 62019 1. 01914 1.61808 1. 61703 1. 61598 1.61493 1. 61388 1.6128.1 1. 61179 1. 01074 1.60970 1.00865 1. 60iGI 1. 00657 1. G!l553 1.60449 1.60345 1.00211 1.60137 1. 00013
Tnng. 58'
(j()
59 511 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 '38 37 36 3,'i 34 33 32 31 30 29
28 27
26 25 2·\ 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5
, 3 2 1 0
-,
TABLE 8.-NATURAL TANGENTS AND COTANGENTS.
82°
,
I
Tang. Cotang. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
80 31
32
.62487 .62527 .62568
.62608
.626(9 .62689 .62730 .62770 .62811
.62852 .62892 .62933 .62973 .63014
.63056 .~
.63136 .63177 .63217
.68258 .63299 .63340 .63380 .63421 .63462 .63603
.63544 .63584 .63625 .63666 .63707 .63748 .63789
33 34 35
.63830
3i 38 39 40 41 42 43 44 45 46 47 48 49
.63994 .M035
36
50 51 52 63 54 55 56 57 58 5~
60
.63871 .63912 .63963 .M076 .64117 .64108 .MI99
.64240 .64281 .64322 .64363
.64404 .64446 .64487 .64528 .M569 .64610 .64652
.64693
.64734 .64775 .64817
.64858 .64899 .64941
1.00033 1.59930 1.59826 1. 59723 1.59620 1.59517 1.594U 1.59311 1. 59208 1.69105 1. 69002 1.58900 1.58797 1.58695 1.58593 1.58490 1.68388 1.58286 1.58184 1.68083 1.57981 1.57879 1. 57778 1.57676 1.57575 1. 57474 1.57372 1.57271 1.57170 1.57009 1.56969 1. 56868 1. 56767 1.56667 1.56566 1.56(66 1.56366 1.56265 1.56165 1.56065 1. 55966 1.55866 1.55766 1. 55666 1. 55567 1.55467 1.56368 1. 55269 1. 55170 1. 55071 1. 54972 1.54873 1.54774 1. 54675 1. 54576 1.54478 1. 54379 1.54281 1.54183 1. 64C85 1.63986
I
I
34° aoo Tang. Cotang. -Tang. I.?>tang.
aao Tang. Cotang. .M941 .M982
.65024 .65065 .65106 .65148 .65189 .65231 .65272
.65314 .66355 .65397
.65438 .66480 .65521
.65563 .65604 .65646 .65688 .65729 .65771
.66813 .65854 .65896
.65938 .65980 .66021
.66063 .66105 .66147 .66189
.66230 .66272 .66314 .66356
.66398
.66440 .66482 .66524
.66566 .66608 .666.'iO .66692 .66734 .66776 .66818 .66860
.66902 .66944 .66986 .67028 .67071 .67113 .67155 .67197 .67239 .67282 .67324 .67366 .67409 .67451
------
1.63986 .67451 1. 53888 .67493 1. 63791 .67636 1.63693 .67578 1.63595 .67620 1.63497 .67663 1.63400 .67705 1.53302 .67748 1.63205 .67790 1.63107 .67832 1.63010 .67875 1.52913 .67917 1.52816 .67960 1.62719 .68002 1.52622 .68045 1.52525 .68088 1.52429 .68130 1.52332 .68173 1.52235 .68215 1. 52139 .68258 1.1i2043 .68301 1.51946 .68343 1.51860 .68386 1.51754 .68429 1. 51658 .68471 1. 51562 .68514 1. 51466 .68557 1. 51370 .68600 1. 61275 .68642 1. 51179 .68685 1. 51084 .68728 1.li0988 .68771 1. 50893 .68814 1.60797 .68857 1. 60702 .68900 1.50607 .68942 1. 60512 .68985 1.50417 .69028 1.60322 1 .69071 1.60228 .69114 1.60133 .69157 1.60038 .69200 1.49944 .69243 1.49849 .69286 1. 49755 .69329 1. 49661 .69372 1.49566 .69416 1. 49472 .69459 1.49378 .69602 1.49284 .69545 1. 49190 .69588 1.49097 .69631 1.49003 .69675 1.48909 .69718 1.48816 .69761 1.48722 .69804 1.48629 .69847 1.48536 .69891 1.48442 .69934 1. 48349 .69977 1.482..<6 .70021
--- --- ------- Cotang. Tang. Cotang. Tang. 'Cotang.
,
;
fj7°
fj6°
I 123
1.48256 1. 48163 1.48070 1.47977 1.47885 1.47792 1.47699 1.47607 1. 47514 1. 47422 1.47330 1.47238 1.47146 1.47063 1.40062 1.4&10 1.46778 1.46686 1.46595 1. 46603 1.46411 1.46320 1.46229 1. 46137 1.46046 1.45955 1.458M 1.45773 1.45682 1. 45592 1.45501 1. 45410 1.45320 1.45229 1.45139 1.45049 1.44958 1. 44868 1.44778 1.44688 1.44598 1.44508 1. 44418 1. 44329 1. 44Z39 1. 44149 1. 44060 1. 43970 1. 43881 1. 43792 1.43703 1. 43614 1.43525 1.43436 1.43347 1.43208 1. 43169 1.43080 1.42992 1.42903 1. 42815 I
.70021 .70064 .70107 .70151 .70194 .70238 .70281 .70325 .70368 .70412 .70455 .70499 .70542 .70086 .70629 .70673 .70717 .70760 .70804 .70848 .70891 .70935 .70979 .71023 .71066 .71110 .71154 .71198 .71242 .71285 .71329 .71373 .71417 .71461 .71505 .71549 .71593 .71637 .71681 .71725 .71769 .71813 .71857 .71901 .71946 .71900 .72034 .72078 .72122 .72167 .72211 .72255 .72299 .72344 .72388 .72432 .72477 .72521
.72565 .72610
1. 42815 1.42726 1.42638 1.42550 1.42462 1. 42374 1.42286 1. 42198 1. 42110 1. 42O'l2 1. 41934 1.41847 1.41759 1. 41672 1.41584 1. 41497 1. 41409 1. 41322 1.41235 1.41148 1. 41061
, c,o 59 08 57 56 55 54
53
52 61 60 49 48 47 46 45 44 43 42 41 40 1.40974 39 1.40887 38 1.40800 37 1. 40714 36 1.40627 35 1.40540 34 1.40454 33 1.40367 32 1. 40281 31 1.40195 30 1. 40109 29 1.40022 28 1.39936 27 1.398W 26 1. 397M 25 1.39(;79 24 1.39593 23 1.39W7 22 1. 39421 21 1.39336 20 1.3D250 19 1.39165 18 1.39079 17 1.38994 16 1. 38909 15 1. 38824 14 1. 38738 13 1. 38653 12 1.38[,68 11 1. 38484 10 1.38399 9 1. 38314 8 1.38229 7 1. 38145 6 1.38060 5 1. 37976 4 1. 37891 3 1. 37807 2 1.37722 1 1.37638 0
.72654 --- --- Tang. i Cotang. Tnng.
ofjo
I
,
fj4· ~
TABLE S.-NA.TURAL ItA.MeENTS ANI) (l6'l'A.NGEIf'l'8.
, Tang.
39° 38° 1 Tang. ('otang. Tang'I~,1 -----------
------
1. 37638 .75355 1. 32704 1.37554 .75401 1.32624 .75447 1. 32544 1. 37470 1.37386 .75492 1. 32404 1.37302 .75538 1.32384 .75584 1.32304 1. 37218 1.37134 .756l!9 1.322'24 1.37050 , .75675 1.32144 .75721 1.:mG4 1.36007 .75767 1.31984 1.36883 .75812 1.31904 1.3fi800 11 1.36716 .75858 1.31825 12 1.36633 .751104 1.31745 13 .73234 1.3eM9 .75960 1.81006 14 .73278 1.36466 .75996 1.3l686 15 .73323 1.36383 .·76042 1.31607 16 • 733GB 1.36300 .76088 1.31427 17 .73413 1.36217 .76134 1.31348 .76180 1.31269 18 .73457 1.36134 19 .73502 1.30051 .76226 1.31190 .7ffn2 .1.31110 20 .73547 1.35068 21 .73592 1.36885 .76318 1.31001 22 .731i37 1.35Sl2 .76364 1.30952 23 .73681 1. 35719 .76410 1.30873 24 .7372(1 1.35637 .76456 1.30795 25 .73771 1.35554 .76502 1.30716 26 .73816 1.35472 .76M8 1.30637 .765Q4 1.30558 27 .73861 1.35389 28 .73906 1.35307 .76640 1.30480 29 .73951 1.35224 .76686 1.3Of01 30 .73996 1.35142 .76733 1.30323 31 .74041 1.35060 .76779 1.30244 32 .74086 1.34978 .76825 1.30166 33 .74131 1.34396 .76871 1. 30087 34 .74176 1.34814 .76018 1.30009 35 .74221 1.34732 .711864 1. 29931 36 .74267 1.34650 .77010 1.29853 37 .74312 1.346GB .77057 1. 29175 .71103 1. 29696 38 .74357 1.34487 39 .74402 1.34405 .77149 1. i9618 .77196 1.29541 40 .74447 1.34323 41 .74492 1. 34242 .77242 1.ll9463 42 .7~ 1. 34160 .77289 1. 29385 .77335 1.29307 43 • 74~83 1. 34079 44 .74628 1.33998 .77382 1. 29229 .77428 1.29152 45 .74674 1. 33916 .77475 1.29074 46 .74719 1.33835 .77521 1.28897 47 .74764 1.33754 1.33673 . 775C8 1. 28919 48 .74810 .77615 1. 28S12 49 .74855 1.33592 1.33511 .77661 1.28764 50 .74000 li1 .74946 1.33430 .77708 1. 28687 li2 .74991 1.33349 .77754 1.28610 .77801 1.28533 li3 • 75oa7 1. 3.~2GB 1.33187 .77848 1.28456 541.75082 65 .75128 1. 33107 .77895 1.28379 50 .75173 1. 33026 .77941 1.28302 57 .75219 1.3.2946 .77988 1. 28225 58 .75264 1. 3.28C5 .78035 1.28148 59 .75310 1.32785 .78082 1. 28071 .75355 1.32704 .78129 1. 27994 -- --- --- --- --0 1 2 3 4 5 6 7 8 9 10
c.o ,
,
36° , 37° Cotang. Tang. Cotang.
.72654 .72C99 .72743 .72788 .72832 .72877 .72921 .72966 ,73010 .73000 .73100 .73144 .73189
Cotang.
Tallg.
63°
Cotang.
Tang.
52°
.78129 .78175 .78222 .78269 .78316 .78363 .78410 .78467
.78004 .78561 .78698
.18645 .7liOO2 . 78739 .78786 .78834 .78881 .78928 .78975 .79022 .70070 .'111117 .'111164
.79212 .79259 .79306 .79354 .79401 .79449 .79496 .79544 .7IlI!91 • 79639 .79686 .79734 .79781 .79829 .79877 .79924 .7flII72
.80020 .80067 .80115
.80103 .80211 .80258
.80006 .80354 .80402 .80450 .80498 .80646 .80694 .80042 .80690 .80738 .80786 .!108.14 .80882 .80030 .80078
-_.
ICotang. I
I
124
1.27994 1. 27917 1.27841 1. 27704 1. 27688 1. 27611 1.27635 1.27458 1.27382 1.27300 1.27230
. 80978 .81027 .81075 .81123 .81171 .81220 .81268 .81316 .81364 .81413 .81461 .8U1l0 .81558 1.27001 . .81606 1.2G925 .81655 1.25849 .81700 1.26774 .81752 1.20098 .81800 1.26622 .81849 1.26646 .81898 1.2MB .811146
i
~:~~I
1.26395 1.26319 1.2624\ 1.26169 1.26093 1.26018 1.25943 1.25867 1.25792 1. 25117
.81995 .82044 .82092 .82141 .82190 .82238
.82287 .82336
.82385 .82434
1.26642 i .82483 1. 25567 • .82531 1. 25492 .82580 1.25417 .82629 1. 25343 .82678 1.252(8 .f!n27 1. 25193 .82776 1. 25118 .82825 1.25044 .82874 1.24969 .82923 1.24895 .82972 1. 24820 .83022 1.24746 .83071 1.24672 .83120 .831(9 1.24597 1.24523 .s:m8 1.24449 • 832GB 1.24375 .83317 1.24301 .83300 1.'Mn1 .83415 .834f15 1.~153 1. 24079 .83614 .83564 1.24005 1. 231131 .83013 1.23858 .83002 1. 23784 1. 23110 ,./m12 .83761 1. 23(j37 .83811 .838(',0 1. 335ti3 1.23490 I~~
--Tang.
51°
.Cotaag.
i
1. 23490 1. 23416 1.23343 1. 23270 1. 23196 1. 23123 1. 23(1;() 1. 22!l77 1.22904 1. 22831 1.!2758
1. 22Il85 1. 22612 1. 225.39 1.2:1467 1. 22.'l94 1.22321 1.22:149 1.22176 1.22104 1.22031 1.21959 1. 21886 1.21814 1.21742 1. 21670 1. 21598 1. 21526 1. 21454 1. 21382 1. 21310 1.21238 1.21166 1.21004 1.21023 1. 20951 1.20879 1.20808 1.20736 1.20065 1.1!O693 1.1!O622 1.20451 1. 20379 1.20808 1.20237 1. 20166 1.20095 1. :aJ024 1. 19Q53 1.191!82 1.19811 1.1g'140 1.19669 1.19599 1.19528 1.194.'i7 1.19387 1.10316 1.19246 1. 19175
CO 59 58 57 56 55 54 53 52 '51
50 49 48 '47 46 45 44 43
42 41 40 39 38 37 36 35 34 33 32 31
30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13
12 11 10
--- Tang.
60°
9 8 7 (l
5 4
3 2 1 0
,
TABLB 8.-·IUTuaAL TAMIlN'l'S AND (lOTANGBN'I'S. ~
40° 42· 4l" , Tang. Cotang. Tang. Cotang. Tang. Cotang. -- --- --- --- --- --- - -.83910 1.19176 .86929 1.15037 .90040 1.11061 0 1 2 3 4 5 6 7 8
9 10
11 12 13 H 15 lU
17 18 19 20 21 22 23 24 25 20 27 28 29 30 31 32 33
34 35 36 37 38 39 40 41 42
43 44
46 46 47
48 49 50 51 52 53 51 55 66 67 68 5g CO --
.839(j()
.84009 .84069 .84108 .84168,
.84208 .84258 .84307 .84367 .84407 .84457 .84507 .84566 .84606 .84656 .84700 .8471>6 .84800 .84856 .849OtI .84956 .8Il006 .85057 .85107 .85157 .85207 .85257 .85308 .85358 .85408 .85458 .85509 .855W .85ti09 .85660 .85710 .85761 .86811 .85l!62 .85912 .85963 .86014 .80064 .86115 .86166 .86216 .86267 .86318 .863G8 .86419 .86470 .86521 .86572 .8!i623 .86674 .86725 .86776 .86827 .8!i878 .80929
1.19105 1.19036 1.189f>1 1.18894 1.18824 1.18754 1.18684 1.11M!14 1.18644 1.18474 1.18404 1.18334 1.18264 1.18194 1.18125 1.18055 1.17986 1.17916 1.17846 1.1m7 1.17708 1.17638 1.17569 1.17500 1.17430 1.17361 1.17292 1.17223 1.17154 1.17085 1.17016 1.16947 1.16878 1.16809 1.16741 1.161,72 1.16603 1.16535 1.16466 1.16398 1.16329 1.16261 1.1b192 l.l
.86980 .87031 .87082 .87133 .87184 .87236 .87287 .87338 .87389 .87441 .87492 .87543 .87595 .87li46 .87698 .87749 .87801 .87852 .87904 .87955 .88007 .88059 .88110 .88162 .88214 .88265 .88317 .88369 .88421 .88473 .88624 .88676 .88628 .88680 .88732 .88784 .88836 .88888 .88940 .88992 .89045 .89097 .89149 .89201 .89253 .89306 .89358 .89410 .89463 .89515 .89567 .89620 .89672 .89725 .89777 .89830 .89883 .8993,'; . 899RR .90040
1.14969 1.14902 1.14834 1.14767 1.1
.90093 .901
.90304 .90367 .904l0 .90463 .90516
.90569 .90621 .90074 .90727 .90781 .90834 .90867 .9OiI40 .90993 .91046 .91099 .91153 .91206 .91259 .91313 .91366 .91419 .91473 .91526 .91580 .91633 .91687 .91740 .91794 .91847 .91901 .91955 .92008 .92Ob2 .92116 .92170 .92224 .9W7 .92331 .92385 .92439 .92493 .92547 .92601 .92655 .92709
.92763 .92817 .92872 .92926 .92980 .93034 .93088 .93143 .93197 .93252
1.10996 1.10931 1.10867 1.10802 1.10737 1.10672 1,.10607 1.10543 1.10H8 1.10414 1.10349 1.10285 1.10220 1.10166 1.10091 1.10027 1. 0996S 1.09899 1. 00834 1.00770 1.09706 1.09642 1.09678 1.09514 1.09450 1. 09386 1. 09322 1. 09258 1. 09195 1. 09131 1. 09067 1. 09003 1. 08940 1. 08876 1. 08813 1. 08749 1.08686 1.08622 1. 08559 1.08496 1. 08432 1.08369 1. 08306 1. 08243 1. 08179 1.08116 1. 08053 1. 07990 1.07927 1.07864 1.07801 1. 07738 1. 07676 1. 07613 1. 07550 1. 07487 I. 07425 I. 073(12 1. 07299 1. 07237
--- --- ---,--- --- ---
, Cotang. Tang. iCotang.! Tang. : Cotang. Tang. 49°
j--4S-0--
I
125
47°
43°
,
Tang. Cotang.
-60
.93252 .93306 .93300 .93416 .93
1. 07237 1. 07174 1. 07112 1.07049 1. 00987 1.00925 1.06862 1. 06!!00 1.06738 1.06676 1.06613 1.06551 1.00489 1.06427 1. 063(i5
69 68 67 66 55 54
63
62 61 110 49 48 47 46 46 .94071 11. 06300 44 .94125 1. 00241 .94180 1.06179 43 • 94236 1. 06117 42 • 94290 1. 06056 41 .94346 1. 06994 40 .94400 1. 05932 39 .94456 1. 06870 38 .94510 1. 05809 37 .94565 1.05747 36 .94620 1. 0/i685 35 .94676 1.05624 34 .94731 1.051>62 33 .94786 1. 0Ii501 32 .94841 1. 05439 31 .94896 1. 05378 30 .94952 1. 0/i317 29 .95007 1. 05256 28 .95062 1. 05194 27 .95118 1. 05133 26 .95173 1.05072 25 .95229 1. 05010 24 .95284 1.04949 23 .95340 1.04888 22 .95395 1. 04827 21 .95451 1.04766 20 .95506 1.04705 19 .95662 1. 04644 18 .95618 1. 04583 17 .95673 1.04622 16 .95729 1. 04461 15 .95785 1. 04401 14 .95841 1. 01340 13 .95897 1. 04279 12 .95952 1. 04218 11 .96008 1.04168 10 .96064 1.04097 9 .96120 1.04036 8 .96176 1. 03976 7 .96232 1. 03915 6 .96288 1.03855 5 .96344 1.03794 4 .96400 1. 03734 3 .96457 1. 03674 2 .90013 I. 03(.13 1 .00569 I. 03553 0 - - ----
Cotang. Tang. 46°
-,
TABLE S.-NATURAL TANGENTS AND COTANGENTS.
, -0
44° Tang. Cotang.
.965G9 .9G62. .96681 .96738 .96794 ':"96850 .96907 .96963 .97020 .97076 .97133 .97189 .97246 .97302 .97359 .97416 .97472 .97529 • 975~6 1~ 19 • 97M3 20 .97700 -- --1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
,
1. 03553 1. 03493 1. 03433 1.03372 1. 03312 1. 03252 1. 03192 1. 03132 1. 03072 1. 03012 1. 02952 1. 02892 1. 02832 1.02772 1.am3 1. 02653 1. 02593 1. 02533 1. 02474 1. 02414 1. 02355
, -
--- -
Cotang. Tang.
40°
II ,
44° Tang. Cotang.
!----
00 69 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40
,
j20
' 21 22
123 : 24
I~
' 27 28 29 30 31 32 33 34 35 36 37 38 39 40
-,
.97700 1. 02355 .97756 1. 02295 .97813 1. 02"...36 .97870 1. 02176 .97927 1. 02117 .97984 1.02057 .98041 1. 01998 .98098 1.01939 .98155 1. 01879 .98213 1. 01820 .98270 1. 017G! .98327 1. 01702 .98384 1. 01M2 .98441 1. 01583 .98499 1. 01524 .98556 1. 01465 .98613 1. 01406 .98671 1. 01347 .98728 1. 01288 .98786 1. 01229 .98843 1. 01170
, -
------ Cotang. Tang.
40°
126
40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20
,
, -
44° Tang. Cotang.
40 .98843 41 .98901 42 .989.,8 43 .99016 44 .99073 45 .99131 46 .99189 47 .99247 48 .99304 49 .99362 50 .99420 51 .99478 52 .99536 53 .99594 54 .99652 55 .99710 56 .99768 57 .99826 58 .99884 59 .99942 60 1. 00000
-
,
1. 01170 1. 01112 1. 01053 1. 00994 1.00935 1. 00876 1. 00818 1. 00759 1. 00701 1. 00642 1. 00583 1. 00525 1. 00467 1.00408 1. 00350 1. 00291 1. 00233 1. 00175 1. 00116 1. 00058 1. 00000
cotang.i - Tang.
40°
I
, -20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0
-,
TABLE 9.-LOGARITHMIC SINES, COSINES, ETC.
o· -"- -
0
0 (0 120 180 240 300 360
1 2 3 4 5 6 7 8 9 10 11 12 13 14
420 480
540 600 600 720 780
840
it 17
900 900 1020 1080 1140 1200 1200 1320 1380 1440 1600 1560 1620 1680 1740 1800 1860 1920 1980 2040 2100 2100
18 19 20 21 22 23 24 25 26 27 28
29 30 31 32 33 34 35 36 37 38 39 40
2220 2280 2340 2400 2400
41 42 43 44 45 46 47
2520
2580 2640 2700 2760
2820 2880 2940 3000
48 49 50 51 52 53 54 55 56 57 58 59 00
3000 3120 3180 3240
3300 3300 3420
3480 3540
360Q
"
,
-
,
Sine.
S.
T.
•. 685 lnr. neg. 575 575 6. 463726 575 675 .764756 575 h75 6.940847 575 575 7.005786 575 675 .11\2600 575 575 .241877 575 575 .308824 575 575 .3(i6816 574 576 • 4179tiB 574 576 .463726 574 576 7.505118 574 576 .542900 574 577 .577008 574 .609853 574 .639816 573 578 .6678451573 578 .694173 573 578 .718997 573 579 .742478 573 579 .764754 572 580 7.785943 572 580 .SOt;I46 572 581 .825451 572 581 .843934 571 582 .861662 571 583 .878695 571 583 .895085 570 584 .910879 570 584 .926119 570 585 .940842 569 586 7.955082 569 5IIl .968870 569 5IIl .982233 568 588 7.995198 568 589 8.007787 567 590 .020021 567 591 .031919 566 59'~ .043501 566 593 .054781 566 593 .065776 565 594 18. 076600 565 595 .086965 564 596 .097183 564 598 .107167 563 599 .116926 562 600 .126471 562 001 .135810 561 602 .144953 561 603 .153907 560 604 .162681 560 605 8.171280 559 607 .179713 558 608 .187985 558 609 .196102 557 611 .204070 556 612 .211895 556 613 .219581 555 615 .227134 554 616 .234557 554 618 8. 241~55 553 , 619 4.685 --Coslne.
5n 5n
I
Cotang.
Tang.
lnr. neg. 6.463726 .764756 6.940847 7. Of>5786 .152G96 .241878 .308825 .366817 .417970 .463727 7.505120
542909 .577672 • .009857 .639820 .667849 .694179 .719003 .742484 .764761
1
7.785951 .806155 .825400 .843944 .861074 .878708 .895099 .910894 .926134
.940858 7.955100 .968889 .982253 7.995219 8.007809 .020044 .031945 .043527 .054809 • Q658Qtj
8.076531 .086997 .097217 .107203 .116963 .126510 .135851 .144900 .153952 .162727 8.171328 .179763 .188036 .196156 .204126 .211953 .219641 .227195 .234621 8.241921
lnr.pos. 13.536274 .235244 13.059153 12.934214 .837304 .758122 .691175 .!i33183 .582030 .536273 12.494880 .457091 .422328 .390143 .300180 .332151 .305821 .280997 .257516 .235239 12.214019 .103845 .174540 .156056 .138326 .121292 .104901 .089106 .073866 .059142 12.044900 .031111 .017747 12.004781 11.992191 .979956 .9ti8055 .956473 .945191 .934194 11. 9234G9 .913003 .902783 .892797 .883037 .873490 .864149
.856004 .846048 .837273 11.828672 .820237 .811964
.803844 .795874 .788047 .780359 .772805 .765379 11.756079 Tang.
Cotang.
C. 15.314 425 425 425 425 425 425 425 425 424 424 424 421 423 423 423 422 422 42'2 421 421 420 420 419 419 418 417 417 416 416 415 414 413 413 412 411 410
409 408 407 407
406 405 401 402 401 400 399 398 397 396 395 393 392 391 389
388 387
385
384
382 381 15.314
179 0
D.I". Cosine.
- -- - - -
.02 .00 .00 .00
.O'J .00 .02 .00 .02 .00 .02 .00
.O'J .02 .00 .02 .02 .02 .02 .00 .02 .02 .02 .02 .03 .02 .02 .02 .02 .03 .02 .02 .03 .02 .02 .03 .02 .03 .03 .02 .03 .03 .02 .03 .03 .03 .03 .03 .03 .03 .03 .03 .03 .03 .03
ten ten ten ten ten ten .. 9.999999 .999999 .999999 .999999 .999998 9.999998 .999997 .999997 .999996 .99999(j
.999995 .999995
.999994
,
00 59 58 57 56 55 54 53 52 51 50 49
48 47 46 45 44 43 42 41 40 39 38 37
.999993 .999993 9.999992 .999991 .999990 .999989 .999989 .999988 .999987 .999986 .999985
35 34 33 32 31
.999983
30
9.999982 .999981 .999980
29
.999979 .999977 .999976 .999975 .999973 .999972 .999971 9.999969 .999968 .999966
.999964 .999963 .999961 .999959 .999958 .999956 .999954 9.999952 .999950
.999948 .999948 .999944 • 999942 .999940
.999938
.999986 9.999934
36
28 27 26 25 24 23 22 21
20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5
•
3 2 1 0
-- --- , D.I". Slne.
~
89·
90°
127
TABLE
-"- 3600 3G6O 3720
3780 384.11 3909 3960 4020
4080 4.lAO 4200 4200 4320 4380 4440 4500 4560 4620 4680 4740
4800
,
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Hi 17 18 19 20
4360
2.1
4920
22 23 24 25 26 27
4Il8O 5040 5100 5100 5220
52BO 5340 54IlO 54&0 5520 5580 5640 5700 5760 58/l0 5880 5940 60IKl 0060 6120 6180 61140 6300 6iI6O 6420 6480 65(0
2S 29
30 31 32 33 34 35
3i 31 38
30
.a 41 42 43 44
45 46
47 46 49
66110' 50 6600 51-
Sine.
8. 241855 .249033 .256094
.263042 .269881 .276614 .283243 .289773 .29;;207 .302646
.308794 8. 314954 .321027 .327016 .332924 .338753 .344504 .350181 .355783 .361315 .366777 8.372171 . 37741!9 .382762 .387962 .393101 .3!18l.79 .403100 .408HII .413068 .41791.9 8. 4227I7 .427462 .432156 .436800 .441394 .445941 .45Of.j9 .454893 • 459liel
.413665 8. 4871185 .472263 .476498
.4806Il3 .434848
.488D63
.4~9
.4W7078 .5016@9 .5G1i045
6960
56 56
7020 7080 7140 7200
58 59
.539l86
60
8.542819
6120
6840 6lIOO
" 91'
sa
oa M
ru
B. T.
--- ---
8. 5081J14 .512887 .516726 .520661 .524343 .528102 .531828 .535523
6180
9.-LOQ~TBIUC
- , --Cosine.
4.685 553 619 552 620 551 622 551 623 550 625 549 627 543 628 547 630 546 632 546 633 545 535 544 637 5~3
638
542 541 540 539 539
640
538 537 536 535 534 533
532
642 644 645
643 649 651
653 655 657 659 661
531 530 529 527 526 525
663 666 668
524 523 522 521 520 518 517 516 515 514 512 511 510 509 507 5116
676 679 681 683
670 672 67.4
685 688 690 693
690 697
700 702 705 707 710 713 506 715 5Ga 718 502 720 501 723 4!19 728 4118 729 497 731. 4Q5 734. 494 737 492 74() 491 743 490 745 488 748 487 751 4.685
Tang.
SI.JIiS. OOSINES,
Cotang.
8. 241t21 11.768lY19 .249102 .7~ .256165 .743835 .263115 .736885 .269966, .730044 .276691 .723309 .283323 .716677 .2898li6 .710144 .296292 .703708 .302634 .697366 .308884 • 691116 8. 315046 ll.684954 .321122 .678878 .327ll4 .672886 .333025 .666975 .338856 .661144 .344610 .655390 .350289 .649711 .355895 .644105 .361430 .638570 .366895 .633105 8. 372292 11.627708 .377622 .622878 .617111 .382889 .388092 .611908 .393234 .606766 .398315 .601685 .403338 .596662 .408304 .591696 .413213 .586787 .418068 .581932 8.422869 11.577131 .427618 .572382 .432315 .567685 .436962 .563038 .441560 .568UO .446110 .553890 .450613 .549387. .455070 .544930 .54(511) .459431 .463849 .536151 8. 468172 11.531828 .472454 .527546 .476693 .523307 .480892 .519108 .48501i0 .514950 .489170 .510830 .4932.>0 .506i5O .497293 .502707 .501298 .498700 .505267 I .494733 &.509200 11. 411081» .513018 .486902 .516961 .483O:W .0207110 .479210 .5245a\ .475414 .528349 .47115.51 .467920 .532011J .535779 .464221 .539447 .460553 8.543084 11.456g16
I Coliang.
i
Tang.
C.
ID.l".
15.314 381 380 378 377 375 373 372 370 368 367
365 363 362 360
358 366 3li4 352 351 349 347
345 343 341 339 337 334
332 330 328
320
324
321 319 317 315 312 310 397 305 303 300 298
29li 293
m
287 2,5 282
280
277 I
274 271 269 266 263 260 257 255 252 249 15.314
178" Cosine.
'
.03 .05 .03 .03 .05
9.999934 .999932 .9'J9929 .90!I!m .999925
59 58 57
.03 .03 .05 .03 .05
.9'.)99'20 .9991118 .990015 .990013 .999!l10
.05 .03 .05
.00
.03 .05 .05 .05 .05 .05 .05 .05 .05 .05 .05 .05
---/-
.99'J922
9.999907
.OOWOS .99\lOO2
.999899 .:7 • 4 .999891
.07 .08 .07 .07 .08
49 48
47 46 45 44
43 42 39 38 37 36 35
.9911858
.07 .(}7
50
9.9998'i'9 .9911876 .9911873 .909870 .999867
.999864
.07 .07 .07 .06 .07 .07 .07 .07 .07 .08 .07
55 54 53 52 51
40
.05
.05 .07 .05 .O'i .07 .05 .07 .05 .07 .07 .05 .(17
56
.9Il9Il88 .9911885 .9/l9882
.05 .07 .00
60
.999861 .9991154 .999861 9,999848
.9\19844 .99\1841
.999838 .009831 .999831 .999827 .999824 .999820 .99II8l6 9.99II8l3 .9\l9809
.99IlIlOO
.999801 .999797 .999704 .999790 .999786 .999782 .999i78 9. ge9I;74
• 91197ti9 .999765 .999761 .999i'57 .999753 .999748 .999744 .999740 9.999735
41
34 33 32 31 all
29 28 27 26
25 24 23
22 21
20
1.11 18 17
HI 16 14
13 12 U 10 9 8 7
6 0 ~
3 2 1 0
- - -Sine. -- , D.I".
sa'
T~N&BN T8, ~ND
lIO
I~
1 2
3
4
6 6 7
8 9 10 11 12 13 14 16 16 17 18 19 '4J 21 22 23 24
25 26 27 28
29 30
Sine.
8. 542819 .646422 .1149995
.563539 .567064 .660540 .563999 .567431
.670836 .674214 '577566 . 8. 5808Q2193 .584
.1i87~
.69072 .593948 .697152 .600332 .603489 .006623
D.1"., Cosine. --9. 9119735 60.05 099731 69.65 999726 69.07 999722 68.68 9II97l7 58.10 999713 67.66 999708 67.'4J .9997Q4 66.75 .999609 66.30 .999OIK 65.87 .9119689 65 43 • 9.9W685 65.02 .1198680 114.60 .• M.'4J......... 63.78 .999666 63. 40 .999660 63.00 .9911656 .998660 62.23 .9911645 61.: .1198640
~~
~62
·""'.L .......
8.61:2823 .615891 • 618937 .621962 .624965 •
51.l3 60.77 60. 42 60.06 411.72 411. 38 411.06
:: 639680 •
48.70 48.: 48. 47.76
~
.6809
.999629 .999624 .999619 .999614
.9911608 .999603
.999697 .911111!92
.9IlllIi86
(lOUNGBlIfTS.
D.1".
TIUIg.
~7
8. 543084 M6691 '.
I D. 1". 60.12 69. 62 69.16 58.66 58.:.1 57.72 67.27 00.83 00.38 65.116 65.62 65 10 • 114.08 64.27 63.87 63.48
• 07 .08 .07 uuoo .08 .567336 .07 .08 ......07 :007727 .08 .671137 .08 .674620 .08 .677877 .07 8. 581208 .08 .5IK614 .08 .1i877II6 .08 .691051 . 0 8 . 1i9G83 .08 .6006 .08 .603839 .08 .08 .61001K .08 8.613189
63.08 52. 70 62.32 61.93 61.58 61.22
.08 .08 • 08 .10 .08 .10 .08
.637134
60.60 60.16 411. 80 411.47 411.l3 48. 80 48.48
.10 .64OOIl3 .08 8.642982 .10 '.646863 .08 .648704
48.11 47.86 47.62 47.22
.~
.1i97~
.~8
.m
.''''''.,." .6193l3 .622343 .626352 .6281(()
.63l208 .61142156
Cotang. 1l• .jIiOO16 .453309
.44D732 • «6183 .442664 .4391 72
'.~3
....... 709 .428863 .425480 .422123 418792 11. '1M86
.~.~ • t0894! .40571.. .~ '.396-161: .398022
39 S8
.377667 .37f648
36 34 33 82 31 30
:......::
• 3n660 .368692 .366744 .362816 .3Ii9907 11.367018. .3Ml47' .361296 .343463
:tX : : ::: .08 .66n411 41\.82
::. .~
46. 92 46.63 46.36
• 10 .10 .08
46. 4Ii 46. 17 44. 88
.33l34O n.3211130 .326437. .323761 .821100 .313456 .315828' 313216 : 310619'
:~X :=:: :~7 .668l6O
44. flO 44. 36 44.07 . 43.80 43. 63 43. 28 43. 03 42. 77 42. 63 42.27 42.03
46. 07 44. 78 44. 62 44.23 43. 97 43.70 43.46 43. 18 42. 92 42.67 G.42
41.78 41.67 41. 30 41.08 40. 86 40. 63 40.40
129
~~1
40
1388811 1'383738
:U~
.666433
47 . f6 46 44 43'
.38U906i
f6.82
:.~
411
.s'
308037 ;
: 3OM71 : 11.30'J919 300383 • 297861 • 296SS4 . • 292860, : 290382 .28'/917. .281i466
.2Ii3028
11. 280604
TAUI' '.-LOGABITllltIC 8UIES, COSINES,
•• 81ne. 0 1 2 3 4 5
6
7 8 9 10
11 12 13 14 15 16 i7
t: ~
. 81
112
'113
$5 Il6
117
'as
1!9
10 'II 12
13 '4
16 16 17 18 19 10
.. «1
42 43
8.7181Dl .721204 • T..!3595 .7'1HJ72 .728337 .7lllti88
.738027
.785354 • '137667
.73W69
.742259 II. ,44,;88 .7461i02 .74U056 .7&1297 .753628 .7&6747 .7MV55 • 'MI151 • '181337 .'/1I4.Ii11 8.7116613 .7Il8828 .770070 .77B10l .f767l3
.maaa
.'79434 • fSl524
• T8II605
• flI«675 1.781736
&3
t
......
~
110
39.62 39.42
.999384 .999378
39.18 38.98 88.78
.999311
.999364 .999357 .999350 .999343 .999336
38.M 88.37 38.17
17.96
9.9\J9lI'JI
17.17 57.115 117.37 lIT. 18
.999lI'J2
.999315
.999*18 .~1
I SIl.b8 l1li.80 111.80
.999294 .9911!187
111.48 l1li••
.999279 .M!172 .9IIUll66
3&.118
11.1199257
18.m
.99II2IiO .999242 .9992S6 .999W1
M.'IO M.1I'l
8&.37 M.1T
.999200
36.02 114.83 114.88
.999212
.9991!06 .900197 .999169 9.999l81 .91191'4 .9991116
al.flO
114.116
.9119168 .M100 .9119142 .999134 .99911l6 .909118
.801892 ,101876
.auo
.881862 1.81178tO ."777
.811726 .813667
.1!1111140
54 ~ 116
39.85
.rN881 .ftf804 .9'IfIi07
~
'Ill 62
9.99940' .999S98 .1199391
.1'I88m
~
'.,
---
40.07
• fIf'187 .m828
.Illl/i99 .811522 .lllkl6
48
COIIine.
D.I".
.~343
. . .ao
8.l1li)11
.~4
.830749 .8311607
.MM56 .1!IIIiI97 .8881ao
.1!IIlI9/l6 .Min4
".1I4IIrM
,
--- -CtIIIIW.
D. t".!
IlDII!.
Tang.
'D. 1"
D.I".
--- - .10 - -8.719896 .12 .12 .10 .12 .12 .12 .12 .12 .12 .12 .12 .12 .12 .12 '.12 .12 .13 .12 .12 .13 .12 .13 .12 .13 .12 .13 .12 .13 .13 .13 .12 .13 .13 .13 .13 .13 .13 .13 .13 .13 .13 .13 .15 .13 .13 .13 .15 .13 .15 .13 .15 .13 .15 .15 .13
.721806
I
.724204 • T.I6688
.7'l89.'i9 .m317 .733663
.735U96
.738317 .740626 .74ll9Z! 8.74f11f1 .147.f19 '.749740 .751989 .7542'J7 .756453 .1&8008 .7tn!72 .763065
40.11 39.97 39.78
39.61! 39.30 39.10
88.88
38.68 38.48 38.27 31'1.08 37.87 37.68 37.48 37. ill 37.10
36.92
.36.~
36.&6
.765246
36.86
8.767417 .769&78 .171727 .773866 .771l996 .778114
36.02
.~
•'/lI2SOO
.784408 .78M86 8.TMM4
.190613
.1'!I'JtlOO
.m70l. • 'f96781 .798752
.800768
.~
.804768
.806742
36.18 3&.82
36.66 3&.48
85.32
35.13
84.97 34.80 34.63 84.47
84.32
130
.~
.248011 .245773
.~7 .24832 .239128 .\l36935 .1134764
11.2321183 .2ill422
.228273 .226134
..221886 moos
.219778 .217880 .215592 .213614 1l.211«6
.llO9887
53
52 51 liO
49 48 47 46
45 44 43
42 41 40 39
88 37
56 35 84 33
52 81 ill 29 28 27 2&
11.1~283
19
83.87
88.22 88.07 32.92
~l'rl
.
.257078 11.254793 .2&1621
65
54
24
gU: 31.~
8l.
31.~
~:33
;881321 30.'/11 :l~ I .839163 ao.lI! .B«l998 30.4& .13 i .8428U .15 8.844844 ao.91 --D.t". ~ ,D.t".
--
.2.5937.4
56
.201248 .199237 .197235 .195242 .199258
8S.5~
31. 8
;~71
.211&337 .264004 .261683
83.68
32.33 32.\lO
48 ;:t • 3
.roMI .268683
60 Ii9 68 67
.207838 .205299
=.98 .88
n.otI
.829874
11.280004 .718194 .276796 .,-nM12
34.l8
112. V7 82,0;1 8t.4T
8.~
178"
Cotang.
--
.~9
.le1J317 .1117359 .1811411 .188471 .181&39 .179016
.l'71702 .lf8l'95 .1 flII97
U.l'f1D8
.1TOl26
•.~7 .18~
25
:!3 22
21
20
U
Ii 11
10 9 8 '1
6 6
.162679
4
'1 .167175
8 2 1
00837 • 69002
11.lM3S6
TiIIIt·
0
••
T....N8I1N TB , A.IUt COT.lM8I1MTB. CosIne. 30.03
9. 998941 998932
29.80 29.67 311.f>7
.~ .9989
29.~
....
21.311
29.2& 29.08 28.96 28.86 28.73 28.82 28.1lO 28.38 28.28 28.17 28.06 27.96 27.83 27.73 27.63 27.52 27.42 27.23 27.20 27.12 27.00 :16.110 :16.80 :16.72 :16.111 :16.50 :16.42 :16.23 :16.23 :16.12 26.02 26.93 26.85 ll5. 7f> 26.65 25.f>7 25.47 25.38 25.30 25.20 26.12 25.03 24.96
11 12 13 14
1f> 16 17
18 19 20
21
.22 23 24
25 28 27
28 29 30 31 23
33 M 85
36
8'1
88 38 40
~86
61
&2 f>3 M M f>6 67 58 69 60
.9il6~ .937 .9388IiO &tNO:I96 COllIDe.
24.78 24.68 24.60 24.02 24.43 24.35
• \JIl8U05
.: .9OII8D6
: 9IIIIIeD
. ..0
.lIIIIIUl 9. UlllllMl .1lI8832
.~ .91188 .9981!04
.M786 .918786
.9118776 .II1I8'I86 .1I987a7 9.11987"7
.1198738 .998'/28 .988718
.9118708 .1I9I!IIlW .988689
.1lIIfl6'N .9981!89 .lI986II9 9.1l986tQ .998639
.~ .91186 .998609 .998599 .998589 .1198578
.998188 .99Il668
.15 .15 .15 • If> .15 • If> • If> .1f> • If> • If> .17
.1' • If> .17 • If> .15 .17 .15 .17 .15 .17 .15 .17 .17 .17 • If> .17 .17 .17 .17 .17 .17 .17 .17 .17 .17 .17 .18 .17 .17 .17
&881202 .1lI!CI86II
.884830 I18MI!5
.~
• 880476 '891112
:=
.1!IlH84 &897696
:£r! :903987 .9056~
.9071 9 .90871 .9103!!1> .911846
:= .998464. .9IIII4lI3
:=m .1I98SIl8
.998888
.1198377 .lI9838II .9II1II365 9. II1II344
-D.I".
BiDe.
.18 .17 .18 .18 .18 .18 .18 .18 .18
D.l".
.,."
Cotang. 00 69 58 f>7
f>6 Sf>
M f>3 f>2 f>1 50
49 48 47 46 45 44 43 42 41 40
28.65 28.M
.998IlO6 .1I9IKI6
9.~ .1IIJIM3
175"
D.l".1 30.18 30.08 29.96 29.82 211.70 211.58 211.47 211.3& 211.23 29.12 29.00 28.88 28.77
9.= . 'Ii ::16
24..27 24. 24. 1
zg
Tang.
8:=: 931647 '933134.
:=
.937565 ..939032 0t0494 8.941962 -
28.43 28.32 28.23 28.12 28.00 27.88 27.78 27.68 27.58 27.47 27.38 27.27 27.17 27.rn :16.97 :18.87 :16.78 26. 67 :16.58 26.48 :16.38 :16.28 :16.20 26.10 :16.92 25.92 25.88 25.73 25.88 25.57 25.47 25.38 25.28 25.22 25.12 25.03 24.95 24.87 24.78 24.70 24..62 24.53 24. 45 24. 30 24.37
I Cotang. D.
39 38 37 36 35 34.
sa
32
31
30
11.071342 .069845 • 06S3f>3 .066806
.065384 • 0639fI1
.062435 • 0Il0008
.0591i06
11.~8
-1-"
19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
0
.
sa·' 131
,
. C081NE8
TABLE •
~;t~~~~~~'-~LOQ~AB=rI~T~B;..~ro~8~I;N;B8~~~~~ ____ . • Cosine. I
~
1>0.
D 1"
D.l" --
.944606 .946034 .9474f>6 .948874 .950287 .951696 .953100 .954499 8. gssgQ4
9:: .18 I 8.941962 .998322 .18 .943404 . 998311 • 18 .944862 .998300 .18 .946295 .998289' 18 .947734 .998277' .949168 .998266 .181.950597 .998255 .18 .952021 .998243' , .953441 .998232 .18 .9548M
:~i~
11 12 13 14 15 16 17 18 19
~
21 22 23 24 25 26 27 28 29 30 31 32 34 33 35 36 37 38 39 40 41
~ 44
45 46 47 48 49 IiO
•
8.940296
.957284 .958670 .960062 .961429 .962801 .964170 .965534 .966893
.968249 8.969600 .970947 .972289 .973628 .974962 .976293 .977619 .973941 .980259 .981573 8.982883 .984189 985491 '986739 : 988083 .989374 .990660 .991943 .993222 .994497 8.995768 .997036 8•. O
~
9.000816
.002069
.003318 .004f>63 .006805 • 007044 9.008278 .00Il610 .010737 • 0111162 .013182 • 014400 • 015613 .016824 .018031 9.019235
Tang.
~
~
23.17 23.10 23.03 22. 95 22.87 22.82 ,22.73 22.65 22. 60 22.52 22.45 22. 37 22. 32 22.23 22.18 22.10 22. 03 21. 97 21. 90 21. 83 21.77 21 72 21:63 21. 57 21. 52 21. 43 21.38 21.32 21. 25 21.18 21.13 21. 05 21.02
~.93 ~.88 ~.82 ~. 75 ~. 70 ~. ~.5765
~.53 ~.46 ~. 42
~. ~. ~.18 ~.12 20. 07
20. 33 30 22
D.l"
~
9.998220 • .998197 .998186 .998174 .998163 .998161 .998139 .998128 .998116 9.998104 .998092 .998080 .9\18068 .99IjO/j6
.998044 .998032 .998020 .998008 .9979116 9.997984 .997972 .997111i9 .997947 .99'1986 .9971122 .997910 .997897 .997886 .997872 9.997800 . 997847 .997836 .997822 .997809 .997797 .997784 .997771 .997758 .997746 9.997732 .997719 . 997708 .1197693 .997680 .997667 .997654 .997641 .997628 9.997614
~ .~ .18 •~ .~ . 18 .~
8.967674 5 .951107 .960473 .961866 .1163255 .964639 .966019 . 967394 .968766 • • 970133 • 8.971496 • .972855 • .974209 .976660 .9761106 • .978248 • .979586 • .980921 • • 982251 .983577 • 8.1184B89 .22 .986217 • .987532 • .988842 .22 .990149 • .991461 .22· .992760 • .994046 .22 .996337 • •996624 .22 8.9971108 8.999188
~~
~ .~~ .~~ ~ ~~
.~~ ~ ~ ~
~
~
.~
.22 .22
.~ .22 .22 .22 .22 .22 .22 • 22 .22 .22 .22 .22 .22 .22 .23
I , - ' . -Sine.
~
-24. 24.13 24.06 23. 98 23.90 23.82 23.73 23. 52 23. 58
.~ .~7 il·
.18 • .18
D • 1"•
132
11"·
D.l".
6~
.46 23.35 23.30 23.22 23.16 23.07 23.00 22. 92 22.87 78 . 72 22. 65 22.57 22.52 22.43 22. 37 22. 30 22. 25 22. 17
~.
~.10 .03
21.97 21.92 21.83 21. 78 21. 70 21.65 21.58 21.53 46 1. 40 21.33
~1.
9.000466 21.28 .001738 21.22 .003007 21.15 .004272 21.08 .005534 21.03 . 006792 97 .008047 .009298 9.010646 .80 . 0117110 73 • 013081 68 • 0lG68 62 • 01M02 57 .016732 .01791i9 .019183 20. 40 .020403 20.33 9.00IlIJO 20.28 'C--otang. D.l".
~. ~.92
~.86 ~. ~. ~. ~. ~.50 ~.46
11.058048 .056596 .055148 .053705 .052266 .060832 .040403 .0479i9 .046569 .046144 .043733 11.042326 .0f0925 .089527 .038134 .036745 .035361 .033981 .032606 .031234 .0'J9867 11. 0'l8Ii04 .027146 .al5791 .024440 .0'l3aI4 .al1752 .020414 .019079 .017749 .016423 11.016101 .013783 .012468 .011158 .009861 .ooe64i .007260 .00II965 .004683 .063376 11.002092 11.000812 10.999635 .998262 .996993 .996728 .99H66 .998208 .991963
.990702
10.989454 .988210 .986969 .985132 .984498 .983268 .98204l .980817 .979597 10.978380
49
48 47 46 46 44 43 42
41 40 311 38 37 36 35 34 33
82
31 30 29
28
27 26 25 24 23 22 21 ~
'l'ANGBN'l'S, AND COTAl'fGENTS. SIne.
o
1 ·2 3 4 5 6 7 8 9 10 11 12 13 14 16 16
17 18 19
9.019236
.02043.5 .021632
.022825
.024016
.025203 .026386 :0Z1567 .028744 .029918 .031089 9.032257 .033421
.034682 .035741
.036896
.038048 .039197
.040342 .041485
~
.042625
21 22 23 24 26 26 27 28 29 30 31 32 33 34 35 36
9.0C376!
37 38 39 40 41 42 43 44 45 46 47 48 49 50 61 52 63 64 50 56 67 63 69 60
.0Wi95 .040026 .047164
.048279 .0411<400 .050619 .051635 .052749 .053&9 9.054966
.056071
.057172 .058271 .M9367 .0604110 .061501 .062639 .063724
.064806 9.065885
.086962 .068036 .069107 .070176 .071242
.072306 .073366 .074424 .075480 9.076633 .077683 .078631 .079876 .080719
.081759 .082797 .083832 .084864 9.0858IW
D. 1". 2().00 19.95 19.88 19.85 19.78 19.72 19.68 19.62 19.57 19.52 19.47 19.40 19.35 19.32 19.35 19.20 19.15 19.08 19.05 19.00 18. 95 18. 88 18. 8518.80 18. 75 18.68 18. 66 18. 60 18.57 18.50 18. 4518. 42 1&35 18. 32 18. 27 18. 22 18.18 18.13 18.08 18. 03 17.98 17.96 17.90 17.85 17.82 17.77 17.73 17.67
17.63 17.60 17.50 17.50 ,17.47 '.42
11.38 17.33 17.30
17.25 17.20 17.17
CosIne. 9.997614 .997601 .997588 .997574 .1197561 .1197547 .1197634 .997520 .997507 .997493
.997480 9.997466 .997452 .997439 .997425 .997411 .997397
.997383
.997369
.997355 .997341
9.997327 .997313
.997299
.997285 .. 997271 .997257 .997242
.997223 .997214
.~
9.9971&~
.997170 .997156 .997141 .997127 .997112 .997098 .997083 .997068 .997053
9.997039 .997024 .997009
.996994 .996979
.996964
.996949 .1196934 .996919
.996904 9.996889
D. 1". .22 .22 .23 .22 .23 .22 .23 .22 .23 .22 .23 .23 .22 .23 .23 .23
.23 .23 .23 .23
.23 .23 .23 .23 .23 .23
.25 .23 .23
.25
Tang. 9.021620 .022834 .024044 · 025261 • 0264M .027655 · 028852 .0300(6 .031237 • 032425
• m3OO9
9. 034791 .035969 · 037144 .038316 • 039485 .040651 .041813 .042973
.044130 .045284 9.046434 .047582 • 048727 .049869 .051008 .052144 • 053277
.23
.23
•'0666M • 0Im62 9. 068846
.23 .25
.25 .25 .25 .25 .25 .25 .25 .25 .25 .25 .25 .25 .25
.996874 .996858
.996843 .996828 1196812
996797 .996782
.996766
• 06M56
.069938 .071027 .072113 • 073197 .074278 .075356
• 076432 .077605 .078576 9.07IIII44 .080710 .081773 .082833 083891 .08411<47 086000 .087050 .088098 9.089144
173" Cotan!!.
2(). 23 20.17 20. 12 2(). 07 20.00 19. 95 19.90 19. 85 19. 80 19. 73 19. 70 19.63 19. 58 19.63 19. 48 19.43 19.37 19.33 19. 28 19.23 19.17 19. 13 19. 08 19. 03 18. 98 18. 93 18. 88
10. 978380 .977166 • 975956 .974749 .973545 • 972345 .971148 .969954 • 968763 .967575 • 966391 10.965209 • 964031
18. 73 18.70 18. 65 18.00 18.57 18. 50 18. 47 18. 42 18. 38 18. 32 18. 28 18. 26 18. 20 18. 15 18. 10 18. 07 18.02 17.97 17. 93 17. 88 17.85 17.80 17.77 17.72 17.67 17.63 17.60 17.50 17.50 17.47 17.43
• 944465
:= ~t:
• 066659 9.057781 • 058900 .060016 .061130 .062240 • 063348 • 064453
.23 .35 .23 .35
D.l".
9.996751
47 46 45 44 43
.9670Z1
42 41 40 39
• 961684 .960615 .969349 .968187
.9M870 .1164716 10. 9.53566 • 962418 .961273 .950131
.11<48992
• 11<47856
::Ii~ .11<43341
10. 942219 .11<41100
.939984
.9"38870 • 937760 • 936652 .1I8M47 • 934444 .933345 • 932248 10. 931154 • G3OO62 .928973
.927887
.~
.926722 • 924644 • 923568 .922495 .921424 10.920356 .919290 .918227 .917167 .916109 .915053 .914000 .912950 .911902
Tang.
133
IiO 49 48
.962856
~~~ ~~~~J1~S~lne~.~~~][~~~~~~==10.~~91~ __
60 69 58 67 56 50 64 63 62 61
38
37 36 35 34 33 32 31 30 29 28 27 26 35 24 23 22 21 20
o
1 2 3
, 6 6 7 8 9 10 11 12 13 14 lli 16 17 18 19 :lO 21 22
23 24 25 26 27 2Ii 211 30 31 82 33 24 36 31! 37 38 39 40
41 '2
43 U
45 45 47 48 49 60
.=
9.0858!K
17.13 17.08 17.06 :l18li870 17.00 .1!lDI9O 16. 97 .ll!Il008 16.113 .lM~~ 16. 88 16.83 16. 82 .1l!I~ 16. 77 .1Il!I1OO2 16. 72 9.09'1066 16.68 • 098Il66 16. 611 .0IIII06.!i , 16. 62 .100062 16. 67 .101056 16. 63 .10'J.048 16. 48 .103037 16. 47 .. 10«125 16. 42 .105010 37 .106992 16. 16. 36 9.1061173 16. 30 107951 16. 27 .: 1(~927 16. 23 .10lI901 1C1.20 .110873 16. III 111842 16.12 16.08 113774 16.05 :m737 16. 02 .115698 15.97 9.116656 15.91\ .117613 15.00 118567 Ill. 87 : 119619 Ill. 83 .1:1>469 15. 80 .121417 15. 71l .122362 15. 73 .123306 Ill. 70 .124248 16.65 .125187 15. 63 9. 126125 Ill. 58 .12'lOOO Ill. 55 .1~ Ill. 63 15. 48 15. 45 : 130781 15.42 .1= 15. 40 Ill. 35 : 133651 32 15. • 13H70 Ill. 28 1I.13li387 Ill. 27 15.22 16.20 ·138128 Ill. III : 139037 Ill. 12 139944 Ill. 10 : 1.0s50 Ill. 07 .141754 16.02 .1426S5 Iii. 00 9.143655
:~7
:U2809
.1:S4
·1=
9.0961178
.91161i62 .0961146
.~
':98 : !106482
.~
• !1064 • !106433 9. !I06417
.= .Il98400 .9116384
:~ .11063
.006302 .006285 .006269 9.1106262
.~ .9062
• !1116202 .1196185 !lll6168 : !lll6161
.!1116134 !lll6117
:!III61oo
.:
9.1186083
:= := .~ .9115
.1IIIi928 9.1IOIiIIl1
.: .996894
.= 9115841 995823
·9116771
9.996763
SIDe.
.27 .25 .27 .27 .25 .27 .27 .27 .25 .27 .27 .27 .27 .27 .27 .27 .27 .28 .27 .27 .27 .28 .27 .27 .28 .27 .28 .27 .28 .27 .28 .28 .27 .28 .28
.28
.28 .28 .28 .28 .28 .28 .28 .28 .28 .28 .30 .28 .28 .30 .28 .28 .30 .28 .30
.30 .28
9.100487 .101604 .1=
:.106550 104642 .106656 .107559 .108560
.10961i9 9.1101Wi6 .111661 .11~
.113583 • 1141i21 .115507 .116491 .117472 • 1184112 .W9429
9:1~ .122348 .123317 .124284 .125249 .126211 .127172 .128130
.129087 9.130041 .130094 .131944 .132893 .133839
.134784 .13672G
.1861167 .137tlOi .l3tI642 9.1*76
.140t09
.141340 .142269 .143196
.lU121
14li044
.30
: 1459ffi
.30
.146885 9.147803
.28
17.38 17.36 17.30 17.27 17.23 17.18 17.18 17.12 17.07 17.03 16. 98 16. 91\ 16. 92 16. 88 16. 83 16. 80 16. 77 16.72 16.68 16. 65 16. 62 16. 58 111.63 16. 60 16. 47 16. 43 16.40 16. 35 16. 33 16. 28 16. 25 16. 22 16.18 16. III 16.12 16,08 16. 03 16. 02 Ill. 97, Ill. 95 Ill. 00 15. 88 Ill. 83 15. 82 15.77 11l.71l Ill. 70 Ill. 68 15.63 lli.62 15. 117 15.55 15.52 Ill. 48Ill. 45 Ill. 42 15. 38 16.37 15. 32 16.30
60
69 58 57 56 65 54 63
82 61 60
411 48 47
46 45 44 43 42 41 40
39 38
37 36 36
24 33 32 31 30
D.1".
97·
134
••
171' COliine.
II.~=
14.97
14.93 14. 90 14.88 14.83 14. 82 14. 78 : 14lIII02 14. 73 .15061i6 14. 72 151569 14. 70 : 1524:;1 14. 65 9.1&3330 14. 63 .1M208 14. 58 .15601i3 14. 57 .15111157 14.511 .1561!3O 14. 50 167700 14. 48 :1M569 14. 43 14.43 14.88 .161164 14.35 1I.11!Wl5' 14.33 • 162885 14.30 .163743 14.28 .184600 14.23 .11lMM 14.22 106307 14.20 :187159 14. III .1e8008 14.13 .168856 14.10 .16Q702 14.08 9.170647 14.03 .171389 14. 02 172230 14.00 : 173)70 '13.97 173908 13.93 : 174744 13.90 17M78 13.88' '176411 13. SIS '177242 13.83 :178072 13.80 '146349 :1(6243 .14n36
.~=
II U 18 14 U 16 17 18 19 ~
81 32 33 M
aa
86 37 88 39 to 41
. 4'J 43
4.5 48 47 48
411
4!0
J=
o.t:
.1 1 .18056.
'=96
: l83Ol6 113834 'l84651
:1116466 .18G280 11.187092 187903
• 12 :=19 .190925 .191130 .191933 .192734 .193534 9.194332
13.77
13.711 13. 72 13. 70 13. 67 13.63 13. 62 13.58 13.67 13.53 13.52 13.48 13.45 13.43 13.42 13.38 13.35 13.33 13.30
9.1196753 .995735 .1m717 \J958IQ
9115881 !III56M Im648 995628 · 995610 :.995673 996li01
9.995665 .995637 995519
: 9115501 .996482 .lI954M
.996448
.9954Z7 .995409
D " 1"
Tang. __
- - . 9. 147803 .30 148718 .30 : 1496112 .30 .150644 .30 .151464 • 28 .152363 • 30 .153l169 .30 .1M174 • 30 . 151lO77 .32 .165978 .30 .156877 .30 .30 .30 .30 • 32 .30 .30 .32 .30 .32
9:: :: 9:t= :::=
.= • l1li5316 • 995317 : 119A278 .995360 9911241 : 996222
.99UlS 9.995184 .995165 .995146 995127 : 995108 .995089 .995070 .995051
.~
.1I9IJl 9. ~
.........61;
:~18 99411
.32 .32 .30 .32 .32 .32 .32 .32 .32 .32 .32 32 : 32 .32 • 32 .32 • 33 ,32 .32 • 33
• 170Ul7 .171019 • 171899 • 17276Z • 1731134 • 174«19 9.175362 .176224 .177084 .177942
.1~~ 1. ........
: 11110 .181360 • lIW11
.1~
9. l83II97 .184762 .185597 .186439
.1~
.32
:~ :~:= 11949
• \19485 .994838 .994818
9:=~ .994759
.994739 .994nl · 994700
:~ .99
994880
.33
188120
• 190629 .1111462 9. 19'ZJ\14
• 32 .33 • 33
:~. .19t780 :~= .33 .32 .33 . 33 • 33 .3.1 .33
9.994820 -D Blne. • 1".
.1911606 .196430 • 197258 . 19S074 .198S94 9.199713 ---
I Cotang.
•••
_ __ _
111. :1\ 111. :II 111. ~ 111.17 16.15 16. 10 15. 08 15.06 15. 02 14.98 14.97
10. 8Il2li7 .1i5l282 .81i11!68 .849456
60 69 68 67
.848646
66
.&467
56 M U
.1147~
.845826
.1144923 .1144022 .843l23
10. 8422'J6 14;93 .841S29 14. 90 .840435 14. 87 .8311543 14.83 .838653 14. 82 .837764 14.78 836877 14.76 :833992 14.73 .835108 14.70 .834226 14.87 10.833346 14.83 14.8\1 14.118 .D11 14.511 .1129843 .8Il8971 14. 53 1 14.111 .82810l 14. 47 .827233 14.45 1'- 42 .: 14.311 1O.1UII3I 14.37 .1IQ3776 14.33 .8Z2916 14.3) 14.28 14. 27 14. 22 14.3) .8186(0 14.18 .B177~ 14.13 ./WIIH 14.13 14.08 1O.~ .31 14.08 .314&03 14.03 8l3IS61 14.02 :&12720 14.00 .811880 13.97 .811042 13.93 .811l206 13.92 809371 13.88
52 61 Jill
: 47 4lI
45
•• __
::
41
«> ::
:~ ~3IS
.= :=
13.87
:1!aIII38
_•• : 31
10
20 28 27
l1li 26 34 23 22
III
10
It 18 17 16 16 14 18 12 11 10
I
13.83
1O.1IlT1~
13.82 13.78 13.77 13.73 13.72 13.68 13.67
'll.&2O 8Ot3II4 • 800670 :802747
a
8Ol1.06 1O.81m87
o
13.66 1" D. .
':7 .801926
'Pang.
8 7 6 6 4
2 1
LOG.lBl'l'RIDe SINJHI. 008INB8.
TABLE 9.
9' I,
Sine.
rl.
I D . 1".1
Cosine. -9.994620 .994000 .9114580 .9II4Ii6O .994M0 .9945l9 .994499 .994479
i - - - - -o 9.194332 13. 28 1 .195129 13. 27 2 3 4 Ii 6 7 89
.195925 .196719 .197511 . 198302 .199091 .199879
.200666 .201451
13. 23 13.20 13.18 13.15 13.13 13.12 13. 08 13.05
.994459 .994438 .9944l8
D 1" -'--' .33 .33 .33 .33 .35 .33 .33 .33
.35
T an". -... +D. 1".' I COtaDg..:.......c 10. 800287. 9.199713 13. 60 799471 .200629 13.00 ·798655 .201345 13. 57 : 797841 .202159 13.53 797029 .202971 13. 52 : 796218 .203782 13.50 .'/IlM08 .204592 13. Q .71'Il00 .205400 13. 4Ii • '/1113793 .206207 13.43 .792987 .207013 13.40 .792183 .lIl7817 13. 37 10. 790680 791381 35
~9
10 • 202234 '11 9.200017 12 203797 13 204577 14 205351 15 206131 16 200906 lIl7679 17 18 208452 19 .209222 20' .209992 21 9.210700 22 .211526 23 • 212291 24 .213055 25 .213818 26 .214579 27 .215338 28 .210097 29 .216854 30 .217009 31 9.218363 32 .219116 1'8 33 • 2206 21l1868 84 ·221357 35 ••• 222222861 115 36
13. 05 13.00 13. 00 12.95 12. 95 12. 92 12.88 12.88 12.83 12.83 12.80 12.77 12. 71i 12. 73 12.72 12.68 12.66 12.65 12. 62 12. 58 12.57 12. 55 12. 53 12.50 IIi
.33 .33 . 35 9: 21»420 .33 • .35... .33 . 2118Hj • 35 : 212611 .35. 218405 .33 .214198 .35 .214989 .35 .216780 .35 9.2161i68 .33 .217856 .35 218142 .35 : • 35 • 219 .35 .220f92 .35 221272 .35 : 222652 .35 .222830 • 35 • 223e07 .35 9.224382 .37 .225l56 • 35 • 225029 .35 .2267tIII .35 .227471 228239 .229007 • 37 . 229773
33 13. 30 13. 28 13. 27 13. 23 13.22 13.18 13.18 13.13 13.18 13.10 13.07 13. 07 13. 03 13.00 13 00 12: 97 12.95 12. 92 12.90 12.88 12. 85 12. 85 12.80 12.80 12.77 12. 77
37
.23OIlS
.35 . 23OQ,'I9 12.38 .99118 . 3 7 . 231302 12. 38 .9Il3789 .35 9.232065 12.35 9.993768 .37 .232826 2 30 12. 33 .993746 .35 .233536 12.'28 .37 .23484Ii """'.37 . 235lOS 12. 27 .99368l • 35 235859 12.23 .9931!OO .37 : 236614 12. 23 • .37 .237388 12.20.91136 .37 .238120
12. 7ll 12. 72 12.68 12.67 12. 65 12.63 12. 00 12. 58 12. 67 12. 63 12.53
: 232444
'12.13
~
12.12 12.10 12.07 12.07 12.03 . . 00 12.00 11.97 11.95
38 89 40 41 411 43 44 46 46 47 49 48 50 61 62 63 54
~
" 58 MI
L ...~
~ ·~111
0.
-,~
: 228048 .228784 •
2295t~
.= ::::~ 9.233172 • • .....,"" .1136349 236073 :""'" .237515 238235 :238853
.994233 I
.994212 9.994191 994171 • 994150 : 994129 .994108 .994087
.~
.994066
"'""~ : 994003
9. 9931182 • 993960
~ •.~ _5 12. 43 .9938M U. 42 . 9938fi
=
• • 2 .22509 -
9.!194398 994377 994357 .994336 • 994316 .994295 994274 : 994254
9.239670 --, COlIne. D. l' •
.99393Q
~!I0220018
2l~
:~
'.~03 ~
:::= .....,<~
9.
~t
7~ 7881 ....
• 789780 •
: 7lI7389 • 786695 .786802 .785011 .784220 10. 781432 .782644 .78181;8 781074 : 780290 • 779508
'~8 ... ~
: 77n 70 .776893 10.7756l8 774844 :7701071 • 773300 • 772529 .771761 .7701193 •• 76194
~
• 768e98
10. 767935 .767174 .7t16414. .766655 .784897 .761141 • 763386 .762632 .761880 .761128
, I
60 MI 68 67 66 : 63
62 61 60
4.
48 47 48 46 44 f3 42 41 40 89 38 87
88 35 34 83 32 81
30 29 28
27 26 25 24 113 112 21 20 19 18
U Iii 14 13 12 11 10
:ll .""" .... ,..7596 _:: :7 12.48
9.239622 """""" • 37 .240371 .993528 .37 .241118 .lIII3506 .37 241865 .1IIJ3484 .37 :242610 .9Il346Z .37 .243354 998440 .37 .244097 :993396 """ . " ...... .37 .245579 993374 .38 9.246319 9.993351 ___ . ___
~ D. 1".1 Cotang. _ 136
12. 45 .758882 12.45 .758135 12. 42 .767390 12.40 .756646 12. 38 .755903 12.37 .755161 ' ' ' ' 10.76363l_ .,.... 12.33 __ _ D 1" . Tang.
•
•
66
-4 3 2 : , __
sO;
TANGENTS. AND CO'I'ANGBNTS.
10·
,
Sine.
D.l".
.240386 .241101 .241814 .242526 .243237 .243947 .244656 .245363 .246069 .246775 9.247478 .248181 .248883 .249583 .2ro.l82
11.93 11.92 11.88 11.87 11.85 11.83 11.82 11.78 11.77 11.77 11.72 11.72 11.70 11.67 11.65 11.63 11.62 11.60 11.57 11.57 11.53 11.62 11.50 11.48 11.47 11.45 11.42 11.42 11.38 11.37 11.35 11.33 11.32 11.30
Coslne~
D.I".
Tang.
D.I".
.247057 .247794 • 248530 .249264 .249998
12. 30 12.28
- - --- - - - - - - - - - - - - 0- -9.239670 9.993351 9.246319 1 2 3 4 6 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
24 25 26
ZT
28
29
30 31 32 33 34 35
.250980
.251677 .252373 .253067 .253761 9.254453 .255144 .255834 .256523 .257211 257898
.258583 .259268 .259951
.260633 9.261314 .261994
.2626'l3
.263351
.264027
39 40
.264703 .265377 .266051 .266723 .267395
41
9268005
36 37 38
.268734 42 .269402 43 ZT0069 44 .ZT0735 45 .ZTI400 46 47 .'l:T2064 .ZTZT26 48 .ZT3388 49 .ZT4049 50 9.ZT47!ll 61 52 .ZT5367 .ZT6025 53 54 .ZT6681 65. .277337 56 .ZT7991 67 .ZT8645 68 .2711!!17 69 .2'199<48 60 9.280599
11.ZT I1.ZT
11.23 11.23 11.20 11.20 11.17 11.15 11.13 11.12 11.10 11.08 11.07 11.03 11.03 11.02 10.98 10.98 10.97 10.93 10.93 10.90 10.90 10.87 10.85 10.85
.900329 .993307
37 .37
.993284 .993262 .993240 .993217 .993195 .993172 .993149
.37 .37
.9931ZT 9.993104 .993081 .993059 .993036 .993013
.992990 .992967 .992944 .922921
.992898 9.992875 .992852
.992829 .992806
.992783 .992759
.992736 .992713 .992690
.992666 9.992643 .992619 .992596 .992572 .992549 .992525 .992501 .992478 .992454
.992430 9.992406
.992382
.• 992359
.992335
.992311 .992287 .992263
.992239
.992214 .992190 9.992166 .992142 .992118
.992093 .992000
.992044
.992020
.991996 .991971 9.991947
.38 .38 .37 .38 .38 .37 .38
.38
.37
.38
.38 .38
.38
.38 .38
.38 .38 .38 .38 .38 .38
.40 .38 .38 .38
.40 .38
• 40 .38
.40 .38
.40 .40
.38
.40 .40 .40 .40 .38 .40 .40 .40 .40 .40 .42 .40 .40 .40 .40 .42 .40 .42 .40 .40 .42 .40
-,- - - - - - - - - - - - CosIne. D.l". Sine. D.l". 100·
.250730
.251461 .252191 .252920
.253648
9. 254374 .255100 .255824 .256547 .257269 .257990 .258710 .259429 .260146
.26OIl63
9.261578 .262292 .263005 .263717
.264428
.265138 .266847 .266555 .267261 .267967 9.268671 .269375 .ZTOO77
.ZT0779 .ZT14T9
.272178
.ZT2876 .ZT3573 .ZT4269 .ZT4964 9.ZT5658 .ZT6351 • 'l:T7043 .277734
.ZT8424 .ZT9113 .ZT9801 .280488 .281174
.281858 9.282542
.283225
.283907 .284588
.285268 .285947 .286624 .287301 .287977 9.288652
12.ZT
12.23 12.23 12.20 12.18 12.17 12.15 12.13 12.10 12.10 12.07 12.05 12.03 12.02 12.00 11.98 11.95 11.95 11.92 11.90 11.88 11.87 11.85 11.88 11.82 11.80 11.77 11.77 11.73 11.73. 11.70 11.70 11.67 11.65 11.63 11.62 11..60 11.58 11.57 11.65 11.53 11.52 11.50 11.48 11.47 11.45 11.43 11.40 11.40 11.38 11.37 11.35
11.33 11.32 11.28 11.28
11.ZT
11.25
-Cotang. - ---D.I".
169· Cotang. 16. 753681 .752943 .752206 .751470 .750796 .750002 .749270 .748539 .747809 .747080 .746352 16. 745626 .744900 .744176 .743453 .742791 .742010 .741290
.74ffi71
.7~4 .7 197 10. 738422 .7377!ll .736995 .736283 .735572 .734862 .734153 .733445 .732739
, 60 69
68 57 . 56 65 64 53
52
51 50 49 48 47 46 45 44 43
42 41
40 39 38
37
.732033
36 35 34 33 32 31 30
10.731329 .730625
28
.729923
.729221 .728521
.7ZT822
.727124 .7~7
.725731 .725036 10. 724342 .723649 .722957 .722266 .721576 .720887 .720199 .719512 .718826 .718142 10.717458 .716775 .716093 .715412 .714732 .714053 .713376 .712699 .712023 10. 711348
Tang.
29 ZT
26 25 24 23
22
21 20 19 18 17 16 15 14 13 12 11 10
II 8 7 6
.5 4 3
2 1 0
, 79°
187
11°
10. 82 10. 82 10. 78 10. 77 10. 77 10. 73 10. 73 10. 70 10. 70 10. 67 10. 67 10. 63 10. 63
1460 10. 60
21
9. m (Q9
24 26
. 2115013
~
. 200.58 . 290286 . 200639
~
. 2971 64 . 207788
211
. 200034
28
. 298412
30
. 290055 11. 300276
31 32
aa
34 36
36 i7 ali
311 .0 fl
~
43
" 46
48 47 48
411 50 61 62 63 64 65 66 67 68 69 00
10.57 10.57 10. 55 10.52 10.52 10. 50 10.48 10. 47 10. 46 10. 43 10. 42 10. 40 10. 40 10. 37 10.36 10. 36 10. 32 10. 32 10. 30 10. 27 10.27 10.26 10.23 10. 23 10. 20 10.18 10.18 10.15 10. 15 10.13 10.12 10.10 10. 08 10. 07" 10. 07 10. 03 100m 10. 02 9.98 10. 00
11.97 9. !IIi O.!IIi
9.92 9: 92
9.991947
• WIlla
.42
1897
. 42
1848 • 'iS23
.42 .40 .42 .42
1873
. 991799 . 991774 • 99H 49 .991724 . 991009 9.991674 .991649 .991624 .991599 .991574 .991649 .991524 . 991498 . 991473 .991448 9.991422 .9913117
• l1li1372 • l1li1346
.991321 .9912115 .991270 .9912" .991218 .991193 9. 991167
. 091141
. 991115 . 991 090
. 901 064 . 09I(XI8 . 991 012
.40 .42
.42 .42 .42 .42 . 42 .42
. 42
9. 288652
.2893:16 . 28D999 .2110671 .291342 .292013
.292682 . 293360 .294017
.42
.43 .42 .42 .43 . 42 .43 .42
.43 .43 .42 .43 .43 .43 .42 .43 .43 .43 .43 .43 .43 .43 .43 . 45 .43 . 43 .43 .45 .43 .45 .43 .43 .46
.45 .43
.45 .45 .43 .45 .45 • 45
133
707'Jfr1
.701318 .706650
.705883
. 294684
".7053l6 .704651
9. lIIIOO13 . 2OOt177 . 297:139 1
10. 7031187
.2115349
.703.123 .702001
.701 9911 .701 338
.42
.42 .43 .42
10. 711348 . 710674 .71(D)1 .70II32II 7Oi658
.700G78 "700020
. 30l2Q5
. 301!11il 9. 302607 . 303261 . 303914 . 304667 . 305218
.305869 .;106519
. 307168 . 307816
.308463 9. 3011109 .30D764 . 310399 . 311042 .311685
. 312327 .312968 .313608 .3142017
60 69
68 67 56 66
&4 63
52 61
60
411
48
i45
" 43
G
4l
.0 311
ali
"¥1 36 36 34 33 32
31 30
211
28
'r1
~
26
24 23 22 21
. 314885
lKI
9.316623 .316169
18
. 316796 . 317430
.318064 .31869"1
. 319330 . 319961 . 320692 .321222 9. 321861 479
. :123106 323733 . 324358 . 324rgj .:I2T.007
.3"., I . 3" • 9. 327475
19 17
16 15 14
13 12
11 10 II 8 7 II
, a 6
2 1
o
TA.NGJlNTS, AN. 007ANQliiX'I'8.
18°
,I
Sine.
D.II/a
CosIne.
D.I".
9. 9IlO404
.43
9.327475
.45 .45 .45 .45
.328715
.329953
.47
.&'U803
TuIg.
D.l".
lb7· Cotang.
,
~---
0 1 2 3 4
~.317879
6 7
.318473 .3111066 .31ge,;g .32Ol49 .320840 .3214,'10 .322019
8
.322ti07
5
9 10
.323194 .323780
11 12
9.324366 .3249,50 .325634 .326117 .336700 .327281
13 14 15 16 17 18 19 20 21
22 :l3 24 26
116 27 28
29 30 31 32
33 84 35 36 37 88
39 40 41
42 43 44 45 46 47
48
49 60 III 62
53 54 65 66
~ 119
.327862 .328442 .32IICl!1
.329699 9. 330176 . 330753 . 331329 • 3,1 19(J3 . 3a2478 .333051 .333624 ,334195 .334767 . 335337
9.335906 .336475
.337043 .337610 .338176 .338742 .339307 .339871 .840434 .340W6 9.341558 .342119 .342679 .343239 .348797 .844365 .344912 .3411469 .1146024 .846579 9.3f7l34 .847687 .348240
.348792 .849343
.34Il893 .360443
.360992
00
.361540 9.36lI088
,
CosIne.
1M·
~.IIO ~.88
9.87 9.85 9.85 9.88 9.32 9.80 9.78 9.77 9.77 9.78 9.78 9.72 9.72 9.68 9.68 9.67 9.65 9.63 '9.62 9.62 9.60 9.57 9.58 9.65 9.65 11.52 9.53 9.50
9.411 9.411 9.47 9.45 9.43 9.43 9.42 9.40 9.38 9.37 9.37 9.35 9.33 9.33 ~.30
9.39 ~.28
~.28
9.2tI 9.2tI 9.2tI 9.22 9.22 9.20 9.18 9.17 9.17 9.15 9.13 11.13
D.l".
.900378 .lI903II1 .900324
.W0297 .1lIlO370
.W0043
.WQ215 .990188 .990161 .990184
9.990107 .9Il0079 .9Q0052 • !19()005
.98m'l .911U970
.1l8SIII42
.98IlQ15
.989887
.9811860 9. fI89832
.9811804
.989777 .989749 .989721
.989693 .989665 .1l89637 .989610
.1189582 9.989553
.1189525 .989497
.989469 .989441 .989413
.989385 .989356 .1189328 .989300 9.98Iltl71
.989'J43 .989214 .989185 .989157 .989128 .1l891oo .1l8II071
.98U042 .1189014 9.1188085
.988i56 .1J88j27
.1188898 .988869 .988840 .1188811
.1I887lI2 .988753 9.1l88724
Bine.
.46
.45 .45 .45 .45 .47
.45 .45 .47
.45 .47
.45 .47
.45 .47 .47
.45 .47 .47 .47 .47 .47
.45 .47
.411 .47 .47 .47 .47 .47 .47
.48 .47 .47
.411 .• 47 .48 .47 .48
.411
.47 .48 .48 .47 .48 .48 .48 .48 .48 .48 .48 .48 .48 .48
D.I".
.3:l8IJQ5
.32Q334
.330670 .331187 .332418 .333003
.333646 9.334269 .334871
10.33 10. 33 lQ.32 10. 32 10.28 10.28 10. 27 10. 26 10. 26 10.22 10.22
.339739
10. 20 10.18 10.18 10; 15 10.15 10.13 10.13 10.10 10.10 100Ql
9.840844
10.111
.336482 .336003 .336702 .337311 .33'11119 .338527 .339133
.340948 .341652 .342165
.34Zl57 .343368 .343968 .344658 .845157 .346765 9.846353 .346949 .347545 .348141 .348735 .849329 .349922 .350514 .351106 .351697 9.352287 .352876
.353465 .364063 .364640 .365227 .365813 .356398 .356982 .367566 9.358149 .358731 .359313 .35111W8 .360474 .3610113 .361632 .382210. .362787 9.363364
Cotang.
10.07 10. 06 10.03 10.02 10.00 10.00 9.118 9.97 9.97 9.911 9.11i1 9.11i1 9.90 9.90 9.88 9.87 9,87 9.85 9.83 9.82 9.82 9.80 9.78 9. 78 9.77 9.711 9.73 9.73
9.72 9,70 9.79 9.67 9.68 9.65 9.65 11.63 9.~
II:~
D.I".
10. 612526 .671905
60 59
.67l285 .6706Ii6
58
.670047 .6611430 .6688l3 .668197 .667532
.660967
.666354 10. 665741 .665129 .664518
.663907 • tI6II298 .662ti89 .662081 .1161473
':If
1 • 10. 659656 .659052 .658448 .657845 .657243 .656642
.656042
.665442
.654843 .654245 10. 6Il3647 .653051 .652465 .651859 .651265 .660671 .660078 .649486 .648894 .648303 10. 647713 .647124
.646535 .645947
.645360 .644773 .644187 .643602 .643018 .642434 10. 641851 .641269 .640687 .640107 .639526 .638947 .638368
.637790 .637213 10.636636
Tang.
57 66 M 54 53 62 51 60
49 411 47
46 46 44
'43 42 41
40 39 38
:rr
36 36 84
33 32 31 30
29 28 27
2G 25 24
23
22
21 20 19 18 17 16 15 14 13 1~
11 10 9 8 7
8
, 6
3 2 1 0
, 7TO
TABLE &.-LOUAltITRMIC 81NKS, OOSINES,
13"
, SIDe. D.I". - - - - - --0 1 2 3
, 6 6 7 8 9 10 11 12 13 14 16 16 17 18 19 20 21 22 23
24 26 26 27 28 99 30 31 32
33
U 36 30 37 38 39 40 41 42 43 44 46 46 47 48 49
60 61· 62 63 64 56 56 57 68 69 00
9.352088
.352635 .353181 .353726 .354271 .3548l5 .356358 .356001 .356443
.356984 .357524 9.358OlI4 .358603 .359141 .369678 .360215 .360762 .361287 .361822
:=
9.363422 .363954
.364485 .36Ii016 .366646 .366076
.366604 .367131 .367659 .368185 9.368711
.369236 .369761 .370285 .37Q808
.371330 .371852 .372373
.372894 .373414 0.373933 .374462 .374970 .376487 .376003 .378519
.377035
.3'77M9
.378063 .378577 9.379089 .379601 .380113 .380624 .381134 .381643 .382152 .382661 .383168 9.383675
9.13 9.10 9.08 9.08 9.07 9.06 9. OS 9.03 9.02 9.00 9.00 8.98 8.97 8.95 8.95 8.95 8.92 8.92 8.00 8.88 8.88 8.87 8.85 8.85 8.83 8.82 8.82 , 8. 78 8.80 8. 77 8.77 8. 75 8. 75 8.72 8.72 8.70 8.70 8.68 8.68 8.67 8.66 8.66 8.63 8.62 8.60 8.60 8.60 8.67 8.57 8.57 8.63 8.63 8.63 8.62 8.50
t:i 8.48 8.46 8.46
-,- - - - - - CosIne.
D.l"·1
CosIne.
D.l".
Tang.
- - --- --9.988724 9.363364 .988696 .988066 .988636 .988607 .988678
• \l88648 .988619 .988489
.988460
.48 .48 .50 .48 .48 .50 .48 .50 .48 .50
.363940 .364515
.366090 .365664 .366237 .366810 .367382 .367963 .368624
.368094
.988430
.48
9.988401 .988371 .988342 .988312
.50 .48 .50 .50 .50 .48 .50 .50 .50 .50 .60 .60 .60 .60 60 .52 .60 .60 .50 .52 .50 .52 .50 .52 .50 .52 .50 .52 .52 .50
9.369663 .370232 .370799 .371367 .371933 .372499 .373064 .373629 .374193 .374756 9.376319
.52
9.386438
.988282 .988252
.988223 .988193 .988163 .988133 9.988100
.988073 .988043 .988013 .987983
.987953 .98'1lI22 .987892 .987862 .987832 9. 987801
.987771 .1187740 .1187710 .987679 .987649 .187618
.987S88 .987567 .987626 9.987496 .987466 .987484
.1187400 .987372 .987341 .987310
.987279
.62 .62 .52 .52 .52 .52 .52 .52 .52 .52 .52 .63 .52
.1187248 .1187217 9.987186 .987156 .987124 .987092 .987061 .987030
.62
.986967
.62
.986998 .986936
9.986004
.63 .52 .63
-Sine. - - --D.I",
leao
• 37S881 .376442
377000 .377563 .878122 .378681 .379239 .379797 .380354 9.380910 .38H66
.382020 .882575 .383129
.383682 .384234 .384786
.3853.'17 .385888
.386987
.387636
.388084 .388631 .389178 .389724 .390270 .390815 .391360 9.391900 .392447
.392989 .393631 .394073 .394614 .395154
.396694 .396233 9.396771
I Cotan~
D.I", 9.60 9.M 9.M 9.67 9.56 9.56 9.63 9.62 9.62 9.50 9.48 9.48 9.46 9.47 9.43 9.43 9.42 9.42 9.40 9.38 9.38 9.37 9.35 9.35 9.33 9.32 9.32 9.30 9.30 9.28 9.27 9.27 9.23 9.25 9.23 9.22 9.20 9.20 9.18 9.18 9.17 0.16 9.16 9.13 9.12 9.12 9.10 9.10 9.08 9.08 9.06 9.07 9.00 9.00 9.00 9.02 9.00 9.00 8.98 8.97
D.I".
168"
Cotang. 10.636036
.636000 .635485 .634910 .634336 .633763 .633100 .632618 .632047 .631476
.630S06 10. 630337 .629768 .629201
, 60 59 M 57
56 56
64 63 52 61 50
49 48
.628633
47 46
.628067 .627501
44
.626936' .626371
.625807 .625244 10. 624681 .624119 .623568 .622997 .622437 .621878 .621319 .620761 .620203 .619646 10. 610000 .618534 .617980 .617425 .616871 .616318 .615766 .615214 .614663 .614112 10. 613562 .613013 .612464 .611916 .611369 .610822 .610276 .609730 .600185 .608640 10. 6(1!()97 .607563 .607011 .606469 .605927
46 43 42 41 40 39 38 37 36 35 84 33 32 31 30
29 28
27
26 25
24 2a 2t 21 20 19 18 17 16 15
1-4
.605386
13 12 11 10 9 8 7 6 6 4
.604846 .604306 .600767 10. 603229
2 1 0
Tang.
,
3
76'
140
TANGENTS, .A. ND COTA.NGENTS.,
1.'
I ' 1 o
1 2 3 4 6 6
7 8 9 10 11 12 13 14 16 16 17 18
19
20
21 22
23 24 25 26
Z1
'28
29
Sine.
385192 · 97 .3856 1
.38620
.386704
.387207 .3877.~
.3882 .388711 9.389211 389711
40 41 42 43 44 45
.393191
ao.673
:396l66
:: 396641 • 397132 • 397621 :398111
.=
.: .401520
8.07 8.05 8.05 8.05
:402972 .400465 9.400938
.: :405382 .407299
L
8.17 8.15 8.13 8.12 8.12 8.12 8.10 8.08 8.08
.3996
48
69 60
8.15
.398600
47 49 60 51 52 53 64 66 66 67 68
9. 986666
.393685 9.394179
.406862 .406341 .406820
46
8.33 8.32 8.30 8.30 8.28 8.27 8.27 8.27 8.23 8.23 8.23 8.22 8.20 8.20 8.18 8.18
.3921: .3926
:401036
38 89
9. 986904 986873
390708 :391206 .391703
8.00 8.02 8.02 8.00 7.98 7.98 7.98 7.97 7.96 7.95 7.93 7.93 7.92 7.92 7.90 7.88 7.88 7.87 7.87
.407777
.408254 II 408731
• 409207
409682 .410157
.410632 .411106 .411579 4l2052 :412524 9.4l2996
Cosine.
T
D. 1".
I'
186"
D.1". 1
TBDg.
n~.l Co... -..
,I
.1----1
8.45 8.42 8.42 8.42 8.«) 8.38 8.38 8.37 8.35 8.35 '8.33
:390210
35
34
--
.384687
g.~
36 37
D.1".1 CosIne.
9.3836~ .3841
30 31 32' 33
D_._. 1"
.62 .53 .53 .62 .53 .53 .62 .53 .53 .53 .53 .53 .53 .53 .53 .53 .53 .53 .53 .66 .53
986841
.986809
.986778 .986746 .986714
.986683
1186651
: 986619
.986587 .9866~ .98649 .986469 .986427 .986395 • Il86363 .986331 .986299
.986266
.:
'9.986284
.53 .66 .53 .66 .53 .66 .53 .66 .53 .66 .66 .66 .53 .66 .66 .66 .66 .66 .66 .66
:986137 .9861~
.98607
9
:~
.986
.986942
.=
9.986~
.98687
:986778 .986745 985712 • 986679
:985646 986613
9.: '985614
:~
'=4 :985381
.985347 .985314
.985280
1
.66 .66 .67 • 66
:~
.57
9.396771 , .397309 .397846
:.= 398383 398919 400524 401058
401591
402l24 9.402666
.400187 .403718 404249 :40078
.406308 .405886 .406364 .406892 .407419
.=
9.~ .4084
' : 410045 : .410669 .4110112 .ill615 , .4l2U7 .4l2668 9.41~
::14219 .414738 .415257
.41~
::16810 .417326 .417842 9.418368 '. 418873 .419387 .419901 • 42041li
::1 .421~
:~ :~4 .66 .57
.985180
:~
9. 42:U84 .423WI
.=
.66 .57 .57 .57 .66 .57
:426619
• «16634 .42700 .427647 9.G!062
D. 1".
CotaDg.
9.9852t~ .9862
.986146 .98611g .98507
:984978
9.984944 Sine.
104"
141
.: .426027
I
8.97 8.96 8.95 8.93 8.93 8.92 8.90 8.90 8.88 8.88 8.87 8.86 8.86 8.86 8.82 8.83 8.80 8.80 8.80 8. 78 8.77 8.77 8. 76 8. 75 8.73 8.73 8.72 8.72 8.70 8.68 8.68
10.:
8.67 8.67
10.586821 , .586301 586781
8.65 8.65 8.63 8.63
8.62
8.60 8.60
8.60 8.68 8.67 8.57 8.57 8.66 8.66 &53 8.52 &62 8.60
8.48 8.60 8.47 8.47 8.47 8.46
8.46 8.43 8.42
D. 1".
602154 601617 .601081
.= :599476
.698942 .598409 .697876
10.697344 .596813
60 69 68 67 66 66 64 53 62 61 60 49 ~
.598282
46
.=
.5116751
.695222
:
.694692
43
:693108
42 41 40
.592581' 10.592OM
39
.~~
37 36 35
.591529 • 6811955 • 689431
:588IlO8 .588386 .587863 .587342
:586262 584743
• 684225 :583707 583190
:582674 .582168 10.581642 .681127 .580613
.580099 .579586 .579073 .578fi60 .578048 .577537
.577026
38
34 33 32 31 30 211 28 27 26 26 24 23 22
21
20 19 18 17 16
15
14 13 12
11
10
10. 578616 : .576007 7 .576497 II .574989 .574481 5 .673973 4 .573466 3 .572959 ~ .572453 0 1D.671~ _ _
Tang.
1'
TABLE •• -LOGABIT8MICl 8IK88.
14·· BIDe. 0 1 2
8 4 6 6 7
B
"
10
·11
12
18 14 16 16 17 18 19
·10 21
22 23
14 25
26 77 lIB
211
II. 4129116 .413467 .413938 .414408 .414878 .4111847 .411;8.15 .416283 .416751 .417217 .417684 1I.4181l!O .418615 .4111079 .419544 .420007 420470 .4201133 .421395 .421857 .ml18 II. 42277lI
.GW8 .GIIl97 .4241156 .424616
.GII073 .425630
.425Wl .G6443
l1II
.426899
at
11.42785.
12
.427809
33
.42Irl63 ._117
34 16 811
rr
811
89
40 41 42
.GI70 .G11623 .430075 .Gl527 .4301178 .431429 11.4818711
.4i1'J329
48 44
.432778
~
.433675
46 47
.CJ4l22
48 CD 60 61 52 83 54 116
156 57 08 69
eo
.433226 .48t669 • tiIIi016 .436462 .43li808
1l.43m53 .436798
• -137242 .487686 .438129 .438672 .439014 .439456 .4398117
9. 4403J8 CoIbIe.
D.I". 7.86 7.86 7.83 7.83 7.82 7.80 7.80 780 7.77 7.78 1.77 7.76 7.78 7.76 7.72 7.72 7.72 7.70 7.70 7.68 7.61
CGIIne.
.984740 .1184706 .1184672
.57 .67 .67 .57 .67 .67 .57 .57 .57
.1I84Im
.68
.984910
.1ISC876 .~ .~
984774
.1184638
9.984l16lI .0M836
.1I84IlOO .984466 .U84CtI .1I848tI7 • tl84863 .984328 .9842e4 .1l84lI5II
7.52 7.52 7.50 7.50 7.48
7• .f1
7.48 7.45 7.45 7.45 7.43 7.43 7• • 7.42 7.40 7.40 7.38 7.38
7.'If1 7.'If1 7.38 7.36
D. 1".
.57 .67
.428Sli8 .429062 .421J666 .430070 :430673 .431075
.40'11677 .432079 .432680 .48:Q!O
.68
.b7
.67
.68 .67
.68 .67
.68 • liB .67
.68 • liB • liB .68 .68
7.66 7.66 7.66 7.68 7.1D 7.1D 7.60 7.60 7.liIi
7.SS 7.SS
TIq.
D.l".
- - ---9.1l84IM4 - - - - - -9.4280112
7.m
7.M 7.57 7.67 7.55 7.55
D.I".
008D-.
.67
9.983876
• !Il384O • g{I38OS
.G83770 .983736 .1l83700 • tIII36M .983629
.9Il3594 .1l83llI8 9.9I!3Ii23
.1l834W1 .1III345e .1183416 .9IIlI381 .911334/)
.983309
• \l83278
.1183238 .9832Ql
9.1183186 .1183130
.9830114 •.983Q22 \l83068 .982986
.9829110 • B821114 .982878 9.111!1111142
81118.
• liB .68 .60 • liB • liB • liB • liB • liB .60 • liB • liB .60 • liB .00 • liB .00 • liB .00 .00 .00 • liB .00 .00 .00 .60 .00 .60 .60 .60 .00 .00 .00
8.43 8.40 8.40 8.40 838 8.37 837 8.37 8.36 8.33 8.33 8.33 8.32 8.32 8.30 8.28 8.28 8.28 8.27 8.27 &26 8.23 8.25 8.22 8.22 8.22 8.20 8.20 8.18 8.18
&18
9.4483156 .448841
.4411B26 .4411110
.45O'H .4fJ1J777 .451260 .451 7 43
.452225 .45mJ6
8.15 II 17 8.15 8.13 8.13 8.13 8.13 8.10 8.10 8.10 8.08 8.08 &07 8.07 8.05 8.05 8.05
8.03 8.Ql
1M·
Colan«. 10. 571948 .571442 .670938 .570434
156 116 54 63
.668925 .668423 .6671121
.667420
.1I649Z2
46
.664C!4 .663927
.1i8343O .562933 .562437 .361941 10.361446 .l!60962 .6e0467
.M9964
----- - - D.l". CoIallW. D,I".
1I8 36 34
• 1167994 .5057.503 .M7012 10.M6621
.M6032 .MM42 .Ml!063 .lI54I565 .M«m .1l63689
.1563182 .1162616 .1l62l30 10 1161644 .1161159
.M0e7' .1l60190
.549'706 .549223 .M8740 .648257 .5m75
8.00 8.00 7.98 7.98 7.117 7.117 7.95
7.95
811 38
'If1
88 3\1 .
.454148
.~
42 41 40
.1iIi8486
11.02
.457019 9.4117_
4Ii 44 43
.669471 .1ll58978
.1Im94
.4S88CI
51
10.566420 .665920 .565421
10.648813
.45IIlIII6
52
l!O 49 <18 .fl
.666OlIO
9.4113187
.4648:18 .45IIlrt1
67
660030 .569427
8oOl!
.453e!18
60 59
68
.546332 .5411852 .&458'12
.544893
.544414 .648936 .643458 .642981 10.6424Of
31
30 29 28 27
26 26 24
23
22 11
10 1. 18 17 18 15 14 18 12
11 10 9 8 7
8 5 4
8 2 1 0
TtuI«. h··
1. .• l~
1.·,
TAl'fGENT8, AKD COTAN'GBIi'1'8. Sine.
D.1"·1
CosIne.
D.l".
.982805 .1182769
.60 .60 .62 .60 .60 .62 .60 .62
TIUIg.
- -- - - - - - 0- --- - - - 9. 461496 9.982842 9. «0338
1 3
.440778 .441218 .441.668
4
.442O!l6
6 6 7 8 9 10
.442535 .442973 .443410 .443847 .444284
2
.444720
11 12
9.~166
14
.~9 .~
13
15 16 17 18 19
.446690
.4fM25
.447326
20
.4f7759 .448191 .448623 .HI054
11
9.44INM
22 23
.4411915 .460345 .450775 .461204 .451632 .46:DiO
~
25
26 111 !IS 39
.~1l488 .~15
81
.458342 9.453768
32 33 34
454619 . 455044
ao
86
36 37 38 39
40 41. 42
43
4114194
469 . 46681l3
· 16 : 460739 . 457162 . 457684
9. 4Ii8OO6 .~
.468848
.469268
44 45 46 47 48 .9 50
.461364 .461782
61
IU !121 99
62 63 64
. 462\\16 . 463032 . «13448
.469688
.«101.08
• «10627 .41111»t6
65
• «ll864
66 1\7
'94
OS.
,9
eo
.
....
79
108 . 4M622
\t; 4009311
CoIIIDIli
7.33 I 7.33 7.33 7.30 7.32 730 7.28 7.28 7.28 7.71
.982733 .ll82696
• !l82OOO
.982624
.1lIfll587
.982561 .982614 .9!12477 5 9.118244l. 7.2 7.25 1 .1182«>4 7.25 .1l82367 7.23 .1182331 7.23 .982294 7.22 .1l82257 7.22 .1182220 7.20 .981183 7.20 .1182146 7.18 .1182109 7.18 7.17 9.9!W72 .91!1!W5 7.17 .9819118 7.17 .1181961 7.15 • 9819'J4 7.13 .981886 f.13 .981849 7.13 .981812 7.12 .981774 7.12 .981737 7.10 9.981700 7.10 .981662 1. (II! .981625 1. (II! .981687 7. (II! .981549 7.07 .981512 1.05 .981174 1.00 .981436 f.OO .981399 1.m I .981861 7.m 7.0I! 9.181~ .981 7.0I! .981247 7.00 .981200 7.00 .981171 1.00 .181133 6911 .9810116 G.911 .181067 G.1I1 .!IIIlOIB G.97 .I80Il81
G.1lII G.1lII G.9B &911 1.911 &.911 1.911 1.90 &90 1.81
D.l"~
9.1lII0942 • tI!!OIl(M
.aQ1116
.-.r1
.-.u .~
.1MI'l2 .9111818 • tIIIBl5 9.111D116
81DB.
.62
.62
.60 .62 .62
.60 .62 .62 .62 .62 .62 .62
.62 .62 .62 .62 .62 .63
.62 .62 .1\3 .62 .62 .63 .62 .63 .63
.62 .63 .63
.62 .63 .63 .63 .63 .63 .63 .63 .63 .63 .63 .63
.66 .63 .63 .66 .63
,66 63 .66 .63 .85
--D.l".
1411
.457973 .458449
• t68925
.469400 .4611875 • 46004~ • «10823 .46l297 .461770 .41W42 9.4WTl5 .463186
.4636118 .464128 .4B4Im .~
• 401153~ .486008 .4BM17 .4861165
9. 4Ir7f1.3 .4Ir7111!O .468347 .4088i4
.46II'J8O .400746 .4'1O'J11 .f70876
.I7UfI.
.171605
9.47lIOO9 .41253'J .4T2W5
.47MB7 .478919. .474381 .474842 .1763m .176783 .4~
9. 4700& . 4711 42
. 4ntlOl
. 47~
. 41 rU7 . 41 /) . 47!14.'f.1 . 479889
. 480345 .481811
1I. 4XlM7 1112
;1 •
,·
1
/)
: 484.~ . ~f
9. 4I11III39
-Cot8llg. --
D.I". 7.00 7.93 7.93 7.92 7.112 7.90 7.90 7.90 7.88
7.trl
Cotang.
,
16.542504 .6420Z7 .64l.661 .64l.075
60 69 68 67
66 • &«l6OO • MOI25 ·66 64 63
.1139661 .639177 .638703
7.88 1.86
.&31768 10.6372II!i
7.88 1.86 1.88 7.88 7.M!
.636342 .113/1872 .&311401 .634931
7.trl
7.1lIl
7.80 7.80 7.78 778 7.78 7.77 7.77 7.71i r.75 7.76 7.78
7.73
.&14461 .&33992
.~
.&33005 10. D3'JM7
.3S'J120 .&31663 .1131186 .&80720 .1I8Wi4
'.liI
D.I".
I
43
G 41
40
39 38
37
96 86
84
.&:IIm4 .A28869
31
.6l!8395
. 1122868
1.51 7.68 7.1.7 7./)1 7./)1 1.511 1.511 f.53
46 45
oM
83
1.811 7.85 1.83 7.83
1.60 7.00
·49 48 47
.1I1!9789
10.&27931
1.00
60
.698814
7.12 7.12 7.70 7.70 7.70 7.011 7.011 7.8f 7.67 7.67
'1.03 7.112 7.111
62 61
.638230
S2
30 119
.627468
!IS
.b26543
'"25
.1127005
.lI28081 .5l!116l.9 .1IZ168
.6Il4697 .61l4237 .6a3117
W..~23311
· 22399 .621941
,rm483
• bill!rl5 • ~206ti8 .020111 .M9f166 . lII I V9
10.1I1!11'41
.811288 .1I1T8a3 .31'1379
• &l1l8'l5 .lItIN7l .11_18
.11M1l5
.516113 10.11'-
'hII«.
2'1
1: .~
10
'" Is
11
"'
1II
14 13
I~
·M
• i•
, t
&
• ,. .
TABU '.-LOGAIUTB.IC BINES, COSINES, SIDe.
:=
9.466935
.4Irl173 .4Irl585 .467996 .468407 .468817 .469227 .469637
.470046
21 22 23 U 25 26 27 28 29 30
9.470456 .470863 471271 4711rl9 .472(»j6 .472492 .472898 .473304 • 473710 • 474115 9.474519 .474923 .476327 .476730 .476133 .476536 .476938 .477340 .4m41
.478142
31.9.= 32 33 .479741 .480140 36 .480639 .480937 .481334 39 .481731 40 .482128
:479342
~
~
9.:
:483316 .483712 484l
or
• .48450
.: ~
48e076 9. 486467 .48Cl86O
.487251
.487643
:=:
.488814 .489204 .489693 9.489982
CosIne
D.l".
6.88 6.88 6.87 6.87 6.86 6.86 6.83 6.83 6.83 6.82 6.82 6.80 6.80 6.80 6. 78 6.77 6.77 6.77 6. 77 6. 75 6.73 6.73 6.73 6.72 6.72 6.72 6. 70 6. 70 6.68 668
6.1rl 6.1rl 6.1rl
6.65 6.65 6.65 6.63 . 662 6.62 6.62 6.62 6.60 6. 58 6.60 6.58 6. 57 6. 67 6. 57 666
~~ 6.66
. 9. 98Oi96 980658 980619 .980480
.!I8OM2
• 980403 .980364 .980325 .98W86
:=
9. 980169 980130 : 9@0091
.980052
.98OOl2 .9791173 .979934 • 979896 .979855
.979816 9. 979776
979737 : 979697
D.l".
Tang. 9.485339
• 63 .65 .65 .63 .65 . 65 .65 .65 .65
~791 486242
486693 4II7l43 487693 • 488043 .488492 .488941 .489390
7.53
10:~~=
7.52 7.62 7.50 7.50 7.50 7. 48 7.48 7.48 7.47
.513758 .513307 .612857 .512407 .511957 .511508 .511059 .510610 .510162
D_._ 1". _ Cot.&n1:. _ __
:~ 9::: ~::
.65 • 65 .65 .Irl .65 .65 .65 • Irl .65 .Irl .65 .Irl • 65
.490733 • 4111180 .4111627 • 492073 .49'J!i19 .492965 """0 4....... : 493864 .49a99 9.494743 .496186 '.
""N'
7.45 7. 45 7.43 7. 43 7.43 7. 42 7.40 7. 42 7. 40 7.38 7.40 7.38 7. 37
.Irl .Irl .Irl .65 .Irl .Irl
.497399 .497841 .498282 .498722 9.499163 .4996m • 5OOOC2
7.37 7.35 7. 33 7.36 7.33 7.32 7. 32
~
:: ::r .=~ ~:~ .979679 .W9639
• W9499 .979459
.979420
:=
9.97m80 • 979340 979220
• 67
~~
.Irl : • fIT
:~~~ :~
: 97VlSO .9790599 • 979OJ. 9.W8979 .978939 • 978898 .fn8858 .978817 .97ffT77
.971l137
.9786V6 • W8666 .97t615 9.W8&74 · 978633
6.52 6.53 . 6.52 6.50 6.50 6.50 6.48 6.48
.978329 •.W8288 978247 9.W8206
D.l".
Sine.
.9784t3
9784l~
.978462 •
.97837
.67 • 67 .Irl .68 .Irl •.68 fIT • fIT .68 .68 .Irl .68 .68 .Irl .68 .68 .68 .68 .68 •.68 68
D.l".
107·
144
:= • 501359 .501797
:: .503109
~ .OW~
9.
.504.fl: • 50486 .605289 605724 : 506169 .5()65g3
.507027 .507460 9.507893 .508326 .6QI769 .609l91 .609622 .610064 .61lM86 .610916 9..611346 611776
Cotang.
U~
7.32
~:~
7.30
7.28
~3
10:= • .....,.,. : 507927 . 507481 .507035 506590 :606146 .606701 10..5062.57 504814 : 504370
:: .500927 • 503485
• 502159 .501718 .501278 10.1iOO837 .50m97 . • ....,
~19
:=
60 59 58 67 66 66 64
63
62 61 50 411 48 47 46 45 44 43 42 41 40 39 38
~ 35 34
~
33 3 30 ;:
27 116 2&
U 23
MIIl3 : 49'7765
~
::
210
0.4964M 1 • "'"'" """"18 .495682
19 7.27 7.27 18 17 7.27 7. 25 • ...... 6 16 16 7.25 7.2& • ...,.,. 14 7.23 .493407 13 7.23 • 492973 12 7.23 .492&40 11 7.22 10. 49'J1.07 10 9 7.22 .4911rl4 7.22 .49l241 6 7.26 • Ml809 6 7. 18 .490078 4 7.20 a 7.18 .48116 2 7.18 •• 1 7.17 ...,.,., 0 7.17, .1::0..:..481122 __ 4+-_1.
'~l4611 '.~1
~
.~
~
D.l".
TanI.
'rAN8BNTS, A.ND COTA.N8ENTS.
lS 0
181"
,
Blne.
D.I" .
Cosine.
D. I".
--- 0--9. 489!182 - ---- 9. 978206 1 2 3 4 6 6 7 8 9 10
.411ro71 .490759 . 491147 .491635 • 491!rl2 .492308 . 4112695 . 4113081 . 4113466 . 41r1851
11
9.494236 . 494621 .495005 . 496388
12 13 14 15 16 17 18 19 20 21 22
• 495n2
.496154 . 496637 . 4116919 .497301 . 497682 9.4Q8064 .498444
. 498825
23
.499204 .4W584 .499963
24 26 26 27 28
•.500342
. 500721 . 501099 . 601476
29 30 31 32 33 34
9.601864 .602231
.WJfPl .502984 .603360 .503735
&~
36
37
. 604110
.604485 .604,860
38
311
.5a;234
40 41 42 43 44 46
9.1i06608 . 5a;981
. 606364 . 506727 .607099 .607471 .607843
46 47 48 49 60 51 52
.608214 .508585 .608956
59 60
9.609326 . 609696 . 510065 . 510434 .510803 .511172 .511540 . 511907 .612275 9.512642
I ,-
CosIne.
63 54 65
116 57
58
6.48 6. 47 6. 47 6. 47 6.46 6.43 6. 46 6.43 6.42 6.42 6.42 6.42 6. 40 6.38 6.40 6. 37 6.38 6. 37 6. 37 6. 35 6.35 6.33 6.35 6.32 6.33 6.32 6.32 6.32 6.30 6.28 6.30 6.28 6.27 6.28 6.27 6.26 6.25 6.26 6.25 6.23 623 6.22 6.22 6.22 6.20 6.20 620 6.18 6.18 6.18 6.17 6.17 6.16 6.15 6.U; 6.15 6.13 6.12 6. 13 6. 12
D. I".
• 9781ffi .978124 .978083 . 978042
.lI78OOl .977959 .977918 .977ffl7 .977&5
.97'7194 9.9777& .9mU .977669 .977628 977586 .977644 . 977SOO . 977461 .977419
.977377 9. 977335 . 977293 .977251 . 977209 .977167 .977126 .977ala .977041 .976999 .976957 9.976014 .976872 .976830 .976787 . 976745 .976702 . 976660 . 976617 • 97ffi74 .97ffi32 9. 976489 . 976446 . 97G404 . !I1G361 . 976:U8 . 971ll76 . 976232 . 976189 . 976146 . 976103 9. 976060 . 970017 . 97.,974 . 975930
. 07581!1 . 9758H . 975*XJ . 975757 . 97 14
-.68 . 68 . 68 . 68 . 68 . 70
.68 .68 .70
.68 .70
.68 .70
.68 .70 .70
. 68
.70 . 70 . 70 .70 . 70 .70 .70 . 70 .70
. 7ry
.70 .70 .70
.72
9. ~1l7 76
.5l2206 512036 .513064 . 5 13-493 . 5 131121 .5101349 .614m .5 16204 .5 1 . 5100.57 9. 516484 . lllOOl0 . 517336 . 517761 . 1iI 186 . 51 10 . 51 4 . 519458 . 51 9882 . S'.!OO05 9. 520728 . 521161 .521573 .521995 .522417
.522838
.523259 .523680
.524100
.!iJ4!iJO
.70 .70 .72 .70 .72 . 70 . 70
.527868 • fi2828li
.72 .72
.72 .72 . 70
.72 .72 .72 .72 .72 .72
.72 .72 .72
.62!1702 9.5291.19
.62Il535
:~
. 530781 . 631196 631 G11
. 63:.'025
::
0. 633266 .6331>7 9
.72 . 73
.634092 .5.'l4504
.72 .73
. 635328
. 72 . 72 . 72
D.l"
D. l ".
- - - ---
9.624940 . 5 r. 9 . 525778 .526197 .526015 . 527t113 . 527451
9. 9760701~ Bine.
Tang.
. 634916 .6351311 .536J6O 1 11.630'.172
CoIaDg.
7. 17 7.15 7.16 716 7.13 7. 13 7 13 7. 12 7.12 7.10 7.12 7.10 7. 08 7. 10 708 7. 07 7. 07 7.07 7.07 7. 05 7. 05 7. 05 7. 03 . 7.03 703 7. 02 7.02 7. 02 7.00 7.00 7. 00 6. 98 6.98 6.98 6.97 6.97 6.97 6.115 6.115 6.115 6.115 6.93 6.113 6.92 6.92 692 6.92 690 6.90 6.00 6.88 6.88 6.88 6.87 6.87 6.87 6. 85 6.85 6.85 6.85
ID. I".
Cot.anl(.
, I-
10. -t88224 . 487794
. 487366
.4861136
60 59
68
57
.486607 .:9 • 1
56
.486223
64 63
.484796 .484369
52 51
.483943
60
10. 483516
49 48 47
.483000
.482665 .482239 .481814 . 481300
. 480966 · 480642
.480118
.479695 10479272 . 478849 .478427 . 476005 .477583 .477162 .476741 .476320 .475900 .476480 10.47S060 .474641 .474222 .473803 .413385
.472967
65
46 46 44 43
42 41 40 39 38 37 36 35 34 33 32 31 30
29 28 27 ~
26 24
. 472549 .472132 • 47 1715 . 471298
23 22
10.470881 .4704ffi .47 9 . 400!i34 .4ilOCl19 .468804 9 . 467975 .467561 .467147 10. 466734
.463439 10. 4631128
19 18 17 16 16 14 13 12 U 10 9 8 7 6 5 4 3 2 1 0
Tang.
,
.466.~
• fffi 496 • fffi084 . 464~72
.404261
.463i50
21
20
71°
lOS' 414~1()...-10
146
TABLE 9.-LOGABITllllre SIK.S, CeSINES, Sine.
o
9.•512642 .513009 .513375 .513741 .5141.07 .514472 .514837 . 5152al .515566 .515930 .516294
1 2 3
..
5 6 7 8 9 10
D.l". 6.12 6.10 6.10 6.10 6.08 6.08 6.08 6.07 6.07 6.07 6.05
CosIne. 9.975670 .975627 .975583 .975539 .975496 .975452 .975408 .975365 .975321 .975277 .. 97523&
g 9: ~:~ 6. 05 9: ~g:: :~ j:~ i~ .975013 :~~~ 15 .518107 6. 02
:g::
16
.518468
:~
19 20 21 22 23 24 25 26 27
.519651 .519911 9.52027l .520631 .520900 . 521349 • 521707 .522066 . ~424
30
• 5234115
31
':~~
:u 33
~ ~i
~
:g231~
32 35 36
6.02 6.02
~.~
6:00 6. 00 5.98 5 98 . 97 ~: 98 5. 97 5.95 5.95
~: ~
.974969
:~~g
.974836 .974792 9.974748 .974703 .974659 . 974614 . 974570 . 974525 .974481
:~~r
• 974347
593 5: 93
9.974302
5.92 5.93 5.92 5 00
. 974167 .974122 .974077
: ~:t~
~
9:~~~
44
.528458
gJ~
47
• 529513
U~
43
~
.
73
.538202 .538611
.539020
.539429 .539837 .540045 .540653 .541061
~ ~::~
9:g~=
6.78
:~i .5:~~42281 i~ : 73 6 75 .73 .75
.~~
6. 77
.5434
.~~
6.75
:644m I~'~ . 545119
:73 .75 9.545524 .73 .545928 7 5 . 546331 . . 5467~ : ~2 547138 . 73 . 547540 .75 .547943 75 :g~~ : ~~ . 54914g
.
.
75 :75
1
.16:75 6 73 6' 72 6' 73
6. 72
6. 70 6 72 70 6.70
6.
U~
9.549650 .549951 550352 :7 75 5 ..550752 .75 .551153 .75 .551552
6.68 6. 68 6. 68 67 6 55 6' 67
.U·
6.55
.75 . 77
6.63 6. 63
:~~75 :~~~i ~~ 'llii~g 6.55
.77 : ~~
• 55593a
~:
• 973444
.77 : ~~
:: . 557121
6.60 ~: ::
9:= .973307
.77 :~
J= ai :=: ~: ~
.77 : Vs
• 530665 . 9:: • 531614
~
.72
.73 .73 .72 .73 .73 .73 .73
6.83 6.83 6.83 6.82 6.82 6.82 6:80 6.80 6.80 6.80 6.78
.53'1382
.973580
:~~~?
:=t
.~56
.537792
:~~
60 53
9.536972
.73 .73
.973716
:
~~
.72
D.l".
9:= • 554344 .554741
. 528105
:~~
5.88 5. 87
Tang.
:= .
~40 .:ii:I~t;~~: 5.88 f~ :~= &00
D.l".
5.85
;5.85
~::
5.83
H~
5.&
.532661
. 973761
:~ :~~
:~n
.973169
5.!I0
59
60
• 533704 9.534052
-'-I
CosIne.
. 913032 9. 972986
D. I".
.77 :~
~ D.l".
109°
:~~
9:~~g .558308
:WooW
.559491 :gs~
. 560673 9.561066
1Cotang.
U~
6.62
6.00 :::
180'
Cotang. 10.463028
60
.462618 .462208 .461798 .461389 .400980 .460571 .460163 .459755 .459347
59 58 57 56 55 54 53 52 51 50 49 48 47
.458939 10.458532 .458125 .457719 .457312 .456906 .456501 .456095
.455690 .455285
.454881 10.454476 .454072 .453669 .453255 .452862 .452460 .452057 .451655 .451253
.450851
10.450450 .450049 .449648 .449248 .448847
.448448 .448048 .447649 .447250 .446851 10.446462 .446054
.445656 .445259 .444861 .444464 .444067 .443671 .443275 .442879 10.442483
.442087 .441692 .441297
6.57
U~
.440903 .440509
&.67
.439721
~: ~
D.l".
.440115 .439327 10.438934
46 45 44 43 42 41 40
39 311 37 36
35 34 33 32 31
30 29 28 lI7 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5
..
3 2 1
o
Tang.
70'
146
159°
,
Sine. D.I". - - - - -- - 9.534052 0 5.78 .534399 1 5.77 .534745 2 5.78 .536092 3 5.77 4 .535438 5.75 .535783 5 5.77 .536129 6 5.75 .536474 7 5.73 .536818 8 5.75 .537163 9 5.73 10 .537507 5.73 9.537851 11 5.72 .538194 12 5.73 .538538 13 5.70 .538880 14 5.72 .539223 15 5.70 .539565 16 5.70 .539907 17 5.68 .540249 18 5.68 .540590 19 5.68 .540931 20 5.68 9.541272 21 5.68 .541613 22 5.67 .541953 23 5.67 .542293 24 5.65 .542632 25 5.65 .542971 26 5.65 .543310 27 5.65 .543649 28 5.63 .543987 29 5.63 .544325 30 5.63 9.544663 31 5.62 .545000 32 5.63 .545338 33 5.60 .545674 34 5.62 .546011 35 5.60 .546347 36 5.60 37 .546683 5.60 .547019 38 5.58 39 .547354 5.58 .547689 40 5.58 9.548024 41 5.58 .548359 42 5.57 .548603 43 5.57 .549027 44 5.55 .549360 45 5.55 .549693 46 5.55 47 .550026 5.55 .550359 48 5.55 49 .550092 5.53 50 .551024 5.53 51 9.551356 5.52 52 .551687 5.52 .552018 53 5.52 54 .552349 5.52 .552680 55 5.50 .553010 56 5.52 .553341 57 5.48 .553670 58 5.50 59 .554000 5.48 9.554329 60 -- --- ---
,
110
Cosine.
D 1".
Cosine.
D.l".
9.972986 .972940 .972894
.77 .77 .77 .77 .78 .77 .77 .77 .78 .77 .77 .78 .77 .78 .78 .77 .78 .78 .77 .78 .78 .78 .78 .78 .78 .78 .78 .78 .78 .78
Tang.
------ --- .972848 .972802 .972755 .972709
9.561066 .561459 .561851 .562244 .562636
.563028
D.I". 6.55 6.53 6.55 6.53 6.53 6.52 6.63 6.52 6.52 6.50 6.50 6.50 6.50 6.48 '6.50 6. 47 6.48 6.48 6. 47 6.45 6.47 6.45 6.45 6.45 6.45 6.43 6.43 6.43 6.42 6.43 6.42 6.40 6.42 6.40 6.40 6.40 6.311 6.38 6.38 6.38 6.38 6.37 6. 37 6.35 6.37 6.35 6.35 6.35 6.33 8.33 6.33 6.33 6.32 6.32 6.32 8.32 6.32 6.30 6.30 6.28
.563419 .663811 .972617 .564202 .564593 .972570 .972524 .564983 9.565373 9.972478 .972131 .565763 .972385 .566153 .972338 .566542 .972291 .566932 .972245 .567320 .972198 .567709 .972151 .568098 .972(05 .566486 .972058 .568873 9.569261 9.972011 .569648 .971964 .570035 .971917 .570422 .971870 .570809 .971823 .571195 .971776 .971729 .571581 .571967 .971682 .572352 .971635 .572738 .971588 .80 9.573123 9.971540 .78 .573507 .971493 .78 .573892 .971446 .80 .971398 .574276 .78 .971351 .574660 .80 .971303 .575044 .78 .971256 .575427 .80 .971208 .575810 .78 .971161 .576193 .80 • 971113 .576576 78 9.971066 9.576959 • 1 .80 .971018 .577341 .80 .970970 .577723 .80 .578104 .970922 .80 .578486 .970874 .78 .578867 .970827 .80 .970779 .579248 .80 .970731 .579629 .80 .970083 .580009 .970035 .580389 .80 .82 I 9.970586 .80 9.580769 .970538 .581149 .80 .970490 .581528 .80 .581907 .970442 .80 .582286 .970394 .82 .970345 .582665 .80 .970297 .583044 .80 .970249 .583422 .82 .583800 .970200 .80 9.584177 9.970152 ------ --- ---
.972663
Sine.
D.I".
Cotang.
D.I".
Cotang. 10.438934 .438541 .438149 .437756 .437364 .436972 .436581 .436189 .435798
.435407 .435017 10.434627 .434237 .433847 .433458
.433068 .432680 .432291 .431902 .431514 .431127 10.430739 .430352
, 60 59 58 57 56 05 54 53 52 51 50 49 48 47 46 45 44 43
42
.428419
41 40 39 38 37 36 35 34 33
.428033
32
.427648 .427262 10.426877 .426493 .428108 .425724 .425340 .424956 .424573 .424190 .423424 10.423041 .422659 .422277 .421896 .421514 .421133 .420752 .420371 .419991 .419611 10.419231 .418851 .418472 .418093 .417714 .417335 .416956 .416578 .416200 10.415823
31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0
Tang.
,
.429965 .429578 .429191
.428805
.423807
I
69 0
0
147
TA.BLE t.-LOGA.RlTHMIC SINES, COSINES,
21· Sine.
D.I".
-- --- --0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
29 30 31
9.554329 .554658 .554987 .555315 • .555643 .555971
.556299 .556626 .556953 .557280 .557606
9.561178 .561501 .561824 .562146 .562468 .562790 .563112 .563433 .563755 .564075
32 33
34 35
36 37 38 39 40 41 42 43 44 4.5 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 .-- - - -
Cosine.
.....
5.48 5.48 5.47 5.47 5.47 5.47 5.4.5 54.5 5.4.5 5.43 5.43 5.43 5.42 5.43 5.42 5.40 5.42 5.40 5.40 5.40 5.38 5.38 h.38 5.37 5.37 5.37 5.37 5.35 5.37 5.33 5.35 5.33 5.33 5.33 5.33 5.32 5.32 5.30 5.32 5.30 5.30 5.28 5.30 5.28 5.28 5.27 5.27 5.27 5.27 5.25 5.27 5.25 5.23 5.25 5.23 5.23 5.22 5.23 5.22 5.20
Cosine. 9.970152 .970103 .970055 .970006 .969957
.969909
.969860 .969811 .969762 .969714
.969665 9.969616 .969567 .969518 .969469
.969420 .969370 .969321 .969272 .969223 .969173 9.969124 .969075
n.1"·1 .82
.80 .82 .82
.80 .82 .82 .82 .80 .82 .82 .82 .82 .82 .82
.83 .82 .82 .82
.83 .82 .82
.969025
.83
.968976 .968926 .968877
.82
.83
.96fm7 .968728 .968678 9.968628 .968578 .968528 .968479
.82
.968827
.968421' .968379
.968329 .968278
.968228 .968178 9.968128 .968078 .968027 .967977 .9671127 .967876 .967826 .967775 .967725 .967674 9.967624 .967573 .967522 .967471 .967421 .967370 .967319 .9!i7268 .967217 9.967166
.82
.83 .83 .83 .83 .83 .83 .82
.83 .83 .83 .85
.83 .83 .83 .83 .85
.83 .83 .85
.83 .85
.83 .85
.83 .85 .85 .85
.83 .85 .85 .85 .85
.85
Tang. 9.584l77
.584555 .584932 .585309 .585686
.586062 .586439 .586815 .587190 .587566 .587941 9.588316 .588691
.589066 .589440 .589814 .590188 .590562 .590935 .591308 .591681 9.592054 .592426 .592799 .593171 .593542 .593914 .594285 .594656 .595027 .595398 9.596768 .596138 .596508 .-596878 .597247 .597616 .597985 .598354 .598722 .599091 9.599459 .599827 .600194 .600562 .600929 .601296 .601663 .602029 .602395 .602761 9.603127 .603493
.603858 .604223 .604588 .604953 .605317 .605682 .606046 9.606410
--- ------ --D.I".
Sine.
D.I".
111°
Cotang.
D.I".
158"
Cotang.
10. 415823 6.30 .415445 6.28 .415068 6.28 .414691 6.28 .414314 6.27 .413938 6.28 .413561 6.27 .413185 6.25 .412810 6.27 .412434 6.25 .412059 6.25 10. 411684 6.25 .411309 6.25 .410934 6.23 .410560 6.23 .410186 6.23 .409812 6.23 .4OIl438 6.22 .40906,'i 6.22 .408692 6.22 .408319 6.22 10.407946 6.20 .407574 6.22 .407201 6.20 .406829 6.18 .406458 6.20 .406086 6.18 .405715 6.18 .405344 6.18 .404973 6.18 .404602 6.17 10. 404232 6.17 .403862 6.17 .403492 6.17 .403122 6.15 .402753 6.15 .402384 6.15 .402015 6.15 .401646 6.13 .401278 6.15 .400909 6.13 10. 400541 6.13 .400173 6.12 .399806 6.13 .399438 6. 12 .31l9071 6.12 .398704 6. 12 .398337 6.10 .397971 6.10 .397605 6.10 .397239 6.10 10. 396873 6.10 .396507 6.08 .396142 6.08 .395777 6.08 .396412 6.08 .395047 6.07 .394683 6.08 .394318 6.07 .393954 6. f11 10.393590 - - - --- -
D.I".
Tang.
~II 59
~I 56 55 54
53 52 51
50 49 48 47 46
45 44 43 42 41 40 30 38 37 36 35 34 33
32 31 30
29 28 27 26 25 2423 22 21 20 19 18 17 16 15
14 13 12 11 10
9 8
7 6 5 4
3 2 1 0
--'I 68'
148
TANGENTS, AND OOT!JIIGRN'fS.
,
Sine.
D.I".
CosIne.
D.l".
Tang.
-- --- --- --- --- 0- -9.573575 9.967166 9.606410 1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20 21 22
23 2425 26 27 28
29
30 31
32 33 34 35
36 37 38
39 40 41 42 43 44 45
46
47
48 49 50 51 52 53 54
.573888 .574200 .574512 .574824 .575136 .575447 .575758 .576069 .576379 .576689 9.576999 .577309 .577618 .577927 .578236 .578545 .578853 .579162 .579470 .579777 9.5800!5 .580392 .580699 .581005 .581312 .581618 .581924 .5!12229
.582535 .582840 9.583145 .583449 .583754 .584058 .584361
:=,
.585272 .585574 .585877 9.586179 .586482 .586783 .5'if11& .5'if1386 .587688 .5'if1989 .588289 .588590
.588890
57 58 59 60
9.589190 .589489 .589789 .59OOlS .590387 .590686 .590984 .591282 .591580 9.591878
,
Caslne.
55
56
5.22 5.20 5.20 5.20 5.20 5.18 5.18 5.18 5.17 5.17 6.17 6.17 6.15 6.15 5.15 5.15 5.13 5.15 5.13 5.12 5.13 5.12 5.12 5.10 5.12 5.10 5.10 5.08 5.10 5.08 5.08 5.07 5.08 5.07 5.05 5.07 5.05 5.07 5.03 5.05 5.03 5.05 5.02 5.03 5.02 5.03 5.02 5.00 5.02 5.00 5.00 4.98 5.00 4.118 4.98
4.98 4.97 4.97 4.97 4.97
I--D.I".
.967115 .967064 .967013 .966961 .966910 .966859
.966808 .966756 .966705
.966653 9.960002
.966560 • 966499 .966447
.966395 .966344
.966292 .966240 .966188 .00II136 9.966085
.966033 .965981 .965929 .965'if16 .965824 .965772 .965720
.965668 .965615 9.965563 .965511 .965458 .965406 .905353 .965301 .965248 .965195 .965143
.965090 9.965037 .964984 .964931 .964879 .964826 .964773 .964720 .964666 .964613
.964560 9.964507 .964454 .964400 .964347
.964294
.964240 .964187 .964133 .964~
9.004026
Sine.
.85 .85 .85 .'if1 .85 .85 .85 .87 .85 .87 .85 .87 .85 .87 .87 .85 .87 .87 .87 .87 .85 .87 .87 .87 .88 .87 .87 .87 .87 .88 .'if1 .87 .88 .87 .88 .87 .88 .88 .87 .88 .88 .88 .88 .87
.88
.88 .88 .90 .88 .88 .88 .88 .90 .88 .88 .90 .88 .90 .88 .90
D.l".j
lIt·
.606773 .007137 .000MlO .007863 .6!m25 .608588 .tnI95O .609312 .609674 .610036 9.610397 .610759 .611120 .611480 .611841 .612201 .612561 .612921 .613281 .613641 9.614000 .614359 .614718 .615077 .615435 .615793 .616151 .616509 .616867 .617224 9.617582 .617939 .618295 .618652 .619008 .619364 .619720 .620076
.620432 .620787 9.621142 .621497 .621852 .622207 .622561 .622915 .623269 .623623 .623976 .624330 9.624683
.625036 .625388 .625741
.626093 .626445 .626797 .627149 .627501 9.627852
Cotang.
D.I". 6.M 6.07 6.05 6.05 6.03 6.05 6.03 6.03 6.03 6.03 6.02 6.03 6.02 6.00 6.02 6.00 6.00 6.00 6.00 6.00 5.98 5.98 5.98 5.98 5.97 5.97 5.97 5.97 5.97 5.95 5.97 5.95 5.93 5.95 5.93 5.93 5.93 5.93 5.93 5.92 5.92 5.92 5.92 5.92 5.90 5.90 5.90 5.90 5.88 5.90 5.88 5.88 5.'if1 5.88 5.'if1 5.'if1 5.'if1 5.'if1 5.87 5.85
UI7·
,
Cotang. 10393590 .393227 .3928ffi .392WO .392137 .391775 .391412 .391050
60 59 58 57 56 55
.389964
54 53 52 51 50
10.389603 .389241
49 48
.390688 .390326
.388880 .
~
.388520 46 .388159 45 .3'if1799 44 .3'if1439 43 .3'if1079 42 .386719 41 .386359 40 10.386000 39 .385641 38 .385282 37 .384923 36 .384565 ' 35 .384207 34 .383849 . 33 .383491, 32 .383133 31 .382776 30 10.382418 29 .382001 28 .381705 27 .381348 '26
.380992
25
.380636 .380280 .379924 .379568 .379213 ' 10.378858 .378503 .378148 .377793 .377439 .3771& .376731 .376377 .376024 .375670 10.375317 .374964 .374612 .374259 .373907 .373555 .373203 .372851 .372499 10.372148
24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0
D.I". -Tang.
1-'8'7'
}49
TABLE • •-LOGAIU'I'BMIC BIND• "£0""'1 .... NES D. I".
21 22 23 24 25 26 27 28
29
30 31 32 33 34 35 36 37 38 39 40
41
42
4S 44 45 46 47 48
49
60 01 02
03
64 66
06 07 58 09 00
9.600990 .601280 .601670 .601860 .600160 .602439 .602728 .603017 • tiOO306 .00l594 9.600882 .604170 .604467 .604746 .605032 .605319 .605606 .605892 .606179 .606466 9. 606761 .607036 .007322 .607607 .007892 .008177 .608461 .008745
.609029
9.609313 Cesine.
D
4.97 4.95 4.95 4.95 4.93 4.93 4.93 4.93 4.93 4.92 4.912 4.912 4.92 4.90 4.90 4.90 4.90 4.88 4.90 4.88 4.87 4.88 4. 87 4.87 4.87 4.87 4.85 4.85 4.85 4.85 4.83 4.83 4.83 4.83 4.83 4.82 4.82 4.82 4.80 4.82 4.80 4.80 4. 78 4.80 4. 78 4. 78 4. 78 4.77 4. 78 4.77 4.77 4. 75 4. 77 4. 75 4. 75 4. 76 4. 73 4.73 4.73 4.73 I" ••
Cosine.
9.9G4026 • 963972 .963919 .863865 • gjj3811 .963767 • 963704 • 963660 .963696 • 963542
.963488
9. 963434 .963379 .963325 • 963271 .963217 .963163 .963108 • 963064 • 962999 • 962945 9. 962890
.962836 .962781 .962727 .962672 .962617
.962562 • 962508 • 962453 .962398 9. 962343 .962288
.982233 .ll62178 .963123 .1l62067 • 962012 .961957 .961902 • 961846 9.961791 · 961735 .961680 .961624 .961669 • 961613 • 961458 . 9614O'J .961346 .961290 9.961235 • 961179 .961123 .961007 • 961011 960955 · 960899 .960843 .960786 9.960730
_
8
I
iDe.
•
Tang. • 90 .88 .90 • 90 .90 • 88 • 90 .90 • 90 .90 • 90 .92 .90 . 90 .90 .90 .92 • 90 • 92 . 90 • 92 .90 .92 .90 .92 .92 .92 • 90 • 92 .92 • 92 .92 .92
.92 .92 .93 • 92 .92 .92 • 93 .92 • 93 .92 .93 .92 • 93 • 92 .93 .93 .93 .92 • 93 .93 .93 • 93 • 93 • 93 .93 . 95 .93 --
D.I".
9..628203 627852 .628564 : 628905
m9256
. Il29606 • 629966 .630306 • 630656 .631006 • 631356 9.631704 .632(Xi3
• 632402 .632760
.633099
.633447 . 633795 • 634143 • 634490 • 634838 9.635185
.635532 .635879 .636226 .636572 .636919 . 637266 . 637611 .637956 • 638302 9. 638647
.638992 .639337 • f.30082 • 640027 • 640371 .640716 .641000 • 641404 .00747 9. 642091 .642434 .642777 .643120 . 643463 . 643806 .644148 • 644490 . 644832 .645174 9. 640016 .640857 .646199 . 646540 • 646881 . 647222 .647562 .647903 . 648243 9.648583
~ tang
00 10. 372148 69 .371797 58 6. 85 .371446 67 li6 6.83 .371095 6. 85 .370745 65 6. 83 • 370394 64 6.83 .370044 03 6. 83 • 369694 62 6.82 .369344 01 50 5. 83 • 368995 5. 82 .368645 49 6.82 10. 368296 48 6. 82 • 367947 47 6.80 .367598 46 6.82 .367250 45 6.80 .366901 44 43 5. 80 • 366653 6. 80 • 3662057 42 6. 78 • 36586 41 5. 80 • 366510 40 6.78 .366162 39 O. 78 10. 364816 38 6. 78 .304468 37 6. 78 .304121 36 35 5. 77 .363774 5. 78 .363428 34 6. 77 • 363081 33 O. 77 • 362735 32 0.76 .362389 31 O. 77 .362044 30 O. 70 .361698 29 6.75 10. 361353 28 O. 76 .361008 O. 70 .360663 6.70 .36W18 25 6. 73 • 359973 24 23 6.76 .359639 6.73 .359284 22 O. 73 • 358940 21 20 6.72 .358596 O. 73 • 358263 6.72 10. 357909 19 0.72 .357566 18 0.72 .357223 17 6. 72 • 356880 16 6. 72 • 356537 . 16 6.70 .356194 14 0.70 .355852' 13 6. 70 .35551U 1-2 6.70 • 3551C,s 11 O. 70 • 354826 , 10 0.68 10. 354484 9 6.70 .354143 8 6.. 68 • 35.'1801 7 6. 68 • 353400 6 5. 68 • 353119 6 5.67 .352778 4 5.68 .352438' 3 6. 67 .352097 . 2 5.67 .351757 1 0 10. 351417 1"_ _ _ _ 1_.
6.85
li.s5
~
D. I".
eo158
'l'.!IIOBN'1'8 AN. OOTA.NGEN1'I.
M" Sine.
D.l".
- - --- 0- -Q. 609313 1 2 3 4 /;
8 7 8 \I 10
.6011597 .009880 .610164 .610447 .610729 .611012 .611294 .611576 .611858 .612140
11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
27
28
29
30 31
32
33
34 311
36
37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 62
9.618004 .618281 .618558 .618834 .619110 .619386 .619662 .619938 .620213
.1l20488 9.620763 .621038 .621313 .621587 .621861 .622135 .622409 .622682 .622956 .623229
53 54 55 66 67 68 69 60
4.73 4. 72 4. 73 4. 72 4. 70 4.72 4.70 4. 70 4.70 4.70 4.68
4.68 4.68 4.68 4.68 4.67 4.67 4.67 4. 67 4.66 4.661 4.65 4.65 4.65 4.63 4.63 4.63 4.63 4.63 4.62 4.62 4.62 4.62 4.60 4.60 4.60 4.60 4.60 4.58 4.58 4.58 4.58 4.58 4. 57 4.57 4. 57 4.57 4.55 4.57 4.55 4.55 4.53 4.55 4.53 4.53 4.53 4.53 4. 52 4.52 4.52
CoaIne. 9.1lIlO73O .960674 .900618 .000561
.960505
.960448
.960392 .960335
.1lOO!79
.9m222 .9116165
9.960109 .960052 .959995 .959938 .959882 .959825 .959768 .959711 .959664 .959596 9.959539 .959482 .959425 .959368 .959310 .959253 .959195 .959138 .959080 .959023 9.958966 .958908 .958850 .958792 .958734 .958677 .958619 .958561 .958503 .958445
D.I".
Tang. '
- - ----- -9.648583 .93 .93 .95 93 .95 .93 .95 .93 .95 .95 .93
4.67 6.67 5.66 5.67 5.65 5.66 5.66 5.63 5.65 5.63 5.63
.6489'J3 .649263 .641lOO! .649942
.660281
.650620 .650959 .651297 .651636 .651974
.95 .95 .95 .93 .95 .95 .95
5.63 5.63 5.68 5.62 6.62 6.62 5.62 5.62 5.62 5.60 5.60 5.60 5.60 5.60 5.60 5.58 5.58 5.58 5.58 5.58 5.57
.95 .97
.95 .95 .95 .95 .97 .95 .97 .95 .97 .95 .97
.95 .97 .97 .97 .95 .97 .97 .97 .97 .97 .97 .97 .97
9.655684
.656020
.656356 .656692 .657028 .657364 .657699 .658034
.658369
.658704 9.659039 .659373 .659708 .660042 .660376 .660710 .661043 .661377 .661710 .662043
.98 .97 .97
.98 .97 .97
.98 9.957804 .957746 .957687 .957628 .957570 .957511 .957452 .957393 .957335 9.957276
D.lu.
.97
.98 .98 .97
.98 .98 .98 .97 .98
9.665698 .666029 .666360 .666691 .667021 .667352 .667682 .668013 .668343 ,9.668673
5.~
I
5.5 5.57 5.57 5.55 5.57 5.55 5.S:; 5.55 5.55 5.55 5.55 5.53 5.53 5.53 6.53 5.53 5.52 II.M 5.52 5.52 5.52
5.50 5.52 5.50 5.52
5.50 6.50
- - - --- - - - --- - - - - - cOsine.
D.I".
Sine.
D.I".
Cotang.
D.l".
1115· Cotang. 10.3111417 .3111077 .350737
59
.350058 .349719
56
.lIf9Otl
aa
.3503Il8 .349380 .348700
.U8364 .348026 10.347688 .347350 .347012 .346674 .346337 .340000 .345663 .345326 .344989 .344652 10.344316 .343980 .343644 .343308 .342972 .342636 .342301 .341966 .341631 .341296 10.340961 .340627 .3402il2 .339958 .339624
.339290 .338957
.338623 .338290 .337957
10.334302 .333971 .333640 .333309 .332979 .332648 .332318 .331987 .331657 10. 331327
00
48
57
M
M
li2 iiI 110 49 48
47 46' 45 44 43
42 41 40 39 38 87 86 35 84 33
32
31 30
29 28
27
26
25 24 23 22 21 20 III 18 17 16 15 14 13 12 11 10
9 8 7 6 5 4
3
2 1
.,
Tang. ~
114·
161
}
'!'ABLE '.-L04UBI'l'OIlIC 8IN&'I, COSINES,
,
Blne.
D.l".
CosIne.
4.52 4.52 4.60 4.60 4.50 4.50 4.50 4.411 4.'411 4.411 4.411 4.411 4. 47 4. 47 4. 47 4. 47 4.45 4. 47 4.45 4.45 4.45 4.43 4.43 4.45 4.43 4.42 4.43 4.42 4.42 4.42 4..42 4.42 4.40 4.40 4.40 4.40 4. 40 4.38 4.38 4.38 4.38 4.37 4.38 4.37 4. 37 4.37 4.35 4.37 4.35 4.35 4.35 4.35 4.33 4.33 4.33 4.33 4.33 4.33 4.32 4.32
.967217 .967158 .967099 .967040 .966981 .956921
D.l".
D.!".
CotaDg.
5.411 6.50 6.411 5.50 6.411 .6.411 6.47 5.411 6.411 6. 47 6. 47 6. 47 5.47 5.45 5.47 6.45 6.47 6.45 6.45 6.43 6.45 5.43 6.45 5.43 6.43 5.42 5.43 6.43 5.42 6.42 11.42 5.42 5.42 6.40 6.42 6.40 6.40 5.40 5.40 5.40 5.38 5.40 5.38 5.38 5.38 6.38 5.37 6.38 5.37 5.37 6.37 5.37 6.37 5.35 5.37 6.35 6.35 5.35 6.35 6.35
10.331327
.669002 .669332
- - --- - - - --- - - - 0- 9.625948 9.967276 9.668673 1
2 3 4 5 6 7 8 9 10 11 12 13 14 16 16 17 18 19 20 21
22 23 24 25 26 27
28 29 30 31 32 33
M 35 36 37 38
39 40 41
42 43 44
45
46 47 411 49
.626219 .626490 .626760 .6'Z7030
.6'Z7300 .6'Z7670 .6'Z7840 .628109 .1l28378 .628647 0.628916
. 11291&
.629463
. tl2Q721
. 629!l89 . 630257 .1130524
. 1l307112
. 1l31(l';9 . 631 326 9. 631693 . tlal859 . 632125
.632"m
. 632658 . tl32923
. 633189 . 633<154 . 033719 , 4 9.634249 .634514 .634778
.635042 .635306 .635570 .635834 .636097 .636360 .636623
9: ~ . 63H ll . G.'J7G73 . 637 35 "' . 197 . 6: 458 . 1l.'I1>'7 20 • (l3!!9!U
liO
. m~2 42
61 52
9. 1l39M13 . c:J9764 . 641J024 0084 . 640044 . 64(1;04 . 1141064 . 641324 . 641583 9. 641 42
63
64 65 66 67 68 59 60
.98 .98 .98 .98 .98
.966506
1.00
.669661 .669991 .570320 .570649 .57f1T17 .571306 .6711l36 .871983 9.672291 .672619
.966387
.966447
1.00 1.00
.673602 .673929
.956208 .9561411
1.00 1.00
.956862 .966803 .966744
.966684 9.1I6C625 .956566
.1156327 .1156268 • !I5IiQi9
9.956029 .955969 .955909 .955849 .955789 .955729 .955669 .955609 .955548 .955488 9.955428
.955368 .955307 .955247 .965186 .965126 .965065
.955005
.964944 .964883 9.964823 .964762 .954701 .964640 .954579 .954518 .964457 .964396
.954335 .964274 9. 954113 . 954J 52 . !l.HI)90
. !lM029 . g,;,1968 . 953%6 . 9W.~45
. 953783 . 9,;3122 9. 9ii3ll6O
1.00
.98 .98 .98
1.00
.98 .98 .98 .98
.98
1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
.98
1.00 1.00 1.00 1.02 1.00 1.02 1.00 1.02 1.00 1.02 1.02 1.00 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.03 1.02 1.02 1.03 1.02 1.03 1.02 1.03
.1172847
.673274 .5742:>7 .874584 .674911 .675Zf1 9.675664 .675890 .676217 .676543 .676869 .677194 .677520 .671846 .878171 .678496 9.678821 .679146 .679471 .679796 .680120 .680444 .680768 .681092 . b81416 .681740 9.682063 .682387 .682710
.683033 .683356 .683679 .884001 .884324
.684646 .684968 9.685290 .686612 .685934
.686255 .686577
.686898 .687219 .687640 .687861 9.688182
-,- - - - - - - - - - - - - - - D.I". Cotang. CosIDe. D.l". Sine. 11.·
152
1M·
Tang.
D.l".
.331M18 .330e68 .330339 .33000II .3296110 .3211361 .329023
.3286114 .32&'t65 .32!m'1 10. 32771» .327381 .327063
.336726 .326398
.326071 .326743 .326416 .325089 .324763 10. 324436 .324110 .323783 .323457
::
.322480 .322154 .321829 .321604 10. 321179 .320854 .32(l';29
.320206 .319880 .319556 .319232 .3189(11 .318584 .318260 10.317937 .317613 .317290 .316967 .316644 .316321 .315999 .316676 .315354 .315032 10.314710 .314388 .314066 .313745 .313423 .313102 .312781 .312460 .312139 10. 311818
Tang.
,
eo
69 58 67 66 6Ii 64
63 62 III 50 49 48 47 46 45 44
CI 42 41 40
39 38 37
36 35 34
33 32 31 30 29
28 27 26 25 24 23
22
21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 /I 4 3 2 1 0
,
!
, I
28·
9.951096 .951032 .950968
111 62 53
114 M
56
117
38
69 60
I~~'I
4.13
CcsIne.
.950906 .95lml .950778 .950714 .950650 .950586 .950522 9.9Ii0458 950394 950330 950266 9I5O:m .950138 .950074 .950010 .949945 9.949881
1.05 1.05 1.05 1.05 1. 07 1.05 1.05 1.07 1.05 1.05 1.07 1. 07 1.05 1.07 1.05 1.07 1.07 1.07 1.07 1.07 1.07
t:~ I
1.07 1.07 1.07 : 1. 07 1.08 ' 1.07 1
I D.l".
5.33 5.32 11.33 5.33 11.33 11.33 11.33 5.32 11.33 5.32 5.32 5.32 5.32 11.30 11.32 11.30 11.32 11.30 5.30 11.30 6.28 6.30 11.28 6.30 11.28 5.28 6.28 5.27 6.28 5.27 5.28 5.27 11.27 6.27
10.311818 .311498 .311177 .310857 .310537 .310217 .309897 .309577 .309258 .308938 .308619 10.308300 .307981 .307662 .307344 .307025 .306707 .306388 .306070 .305752 .305434 10.305117 .304799 .304482 .304164 .303847 .303530 .303213 .302897 .302S80 .302264 10.301947
60 69 58 67 66 M
5.25
.301631 .301315 .300999
28 27 26
.300684 .300368 .300053 .299737
24
5.27 5.25 6.27 &.25 6.25 5.25 5.25
11.23 5.25
11.23 6.25 5.23
11.23 5.22 6.23 5.23" 5.22 11.22 6.23 11.22 11.22 5.20 5.22 5.22 11.20
.299422 .299107 10.298792 .298477
.298163 .297848 .297534 .297219 .296905 .296591 .296278
.295964
10.295650 .295337 .295024 .294710 .294397 .294084 .293772 .293459 .293146 10.292834
Tang.
54 53 52
51 50 49
48 47 46 45 44 43 42 41 40 39 38 37 36
35 34 33
32 31
30 29
25 23
22 21 20
Ie
18 17
16 111 14
13 12 11 10 9
8 7 6 5 4
3 2 1
o I~'~
U·
118°
153
TABLE '.-L06AIU'lB1lfC SINH, «:OilNES,
,
-0
I
2 3 4 0 6 7 8 9 10 11 12 13 14
15
16 17 18 19 20 21
22 22
24 25 36 27 28 29 30 31 32
88
34
35 all 37 38 311
.to ~
42 6a 44
45 46 47 48 48
~ID.I'" 9.657947 .657295 .657542 .657790 .658037 .658284 .658531 .658778 .659025 .659271 .650017 9. 659763
:= • (iIim01 . 000746 1
: OUI236
. 001<1111 . 001726 . 001070 9.662214 .662459 .&62703
.662946
.663190 .663433 .663677 .663920 .~63
.664406 9.664648 .664891 .665133 .665375 .665617 .665859 .666100 .666342 .666683 .666824 9.6 7065 .6tl7:105 .6 >7546 .6 7786 .6ti8ft27 .668267
. 611 506 . 668'746 ~
50
: 66Itl25
51 52 63 54 55 5& 57 68
9.6694('>4 .009703 .669942 .670181 • 679419 .6706.';8 .670896 .671134 .671372 9.671609
~9
60
4.13 4.12 4.13 4.12 4.12 4.12 4.12. 4.12 4.10 4.10 '-10 4.10 '-10 '-10 4.08 '-08 4.08 4.08 4.08 4.00 4.07 4.08 4.07 4. OS 4. 07 4. OS 4. 07 j,OS 4. OS 4.05 4.03 4.05 4.03 4.03 4.03 4.03 4.02 4.03 4.02 4.02 4.02 4.00 4.02 4.00 4.02 4.00 3.98 4.00 4.00 3.98 3.98 3.98 3.98 3.98 3.97 3.98 3. 97 3.97 3.97 3. 95
----,- -Cosine. D.I".
_ Cosine. I D. I". 9.949881 .949816 .~
.949688
.94962a .949558 .949494 .949429 .94Y36f
.94Il3OO
.9411235
8.949170 . 9491 OS .949040 .948975 .948910 .948845 .948780 .948715 .948650 .948584 8.9485111
. 9<\801.'>4
.~
. 94 23 . 94 7
112 . 94.126 . g,l!
.946738 .946671 .946604 9. 94W38 . 946471 • 94t>194 . 9
. 9<1136
. 94<1069 . 04Ii002 9. 9~
I
1.08 1.07 1.07 1.08 1.08 1.07 1.08 1.08 1.07 1.08 1.08 1.08 1.08 1.08 1.08 1.08 1.08 1.08 1.08 1.10 1.08 1.08
1.10 1.08 1.10 1.08 1.10 1.10 1.08 1.10 1.10 1.10 1.10 1.10 1.08 1.12 1.10 1.10 1.10 1.10 1.10 1.12 1.10 1.10 1.12 1.10 1.12 1.10 1.12 1.12 1.10 1.12 1. i2 1.12 1.12 1.12 1.12 1.12 1.12 1.12
--- --SIne.
D.I".
11'·
164
Tang. 9. 707166 . 700478 . 707700 . 708102 . 71»1414 · 708726 · 7000:17 .. 7 7 = • . 700071 • 71(),182 8.7106113 .71~
.711215 .71~
D.I". 6.20 0.20 6.20 6.20 6.20 5.18 5.20 5.18 5.18 5.18 6.18 5.18 5.18 5.17 5.18 5.17 5.17 0.17 5.17 5.17 5.17
.711836 . 712lf6 .712456 .712766 .7l3076 .713386 8.713696 6.1~ .714005 5.1~ .714314 5.17 .714624 5.1~ .714983 5.1i .715242 5.1$ .715Ml 5.15 .715860 5.13 .716168 5.15 .716477 5.13 8.716785 5.13 .717093 5.13 .717401 6.13 .7177011 5.13 .718017 5.13 .718325 5.13 .718633 5.12 .718940 5.13 .719248 5.12 .719655 5.12 9.719862 5.12 .720169 5.12 .720476 5.12 .720783 5.10 .721089 5.12 .721396 5.10 .721702 6.12 .72200II 0.10 .722315 5.10 .722621 5.10 9.722927 5.08 .723232 5.10 .723538 5.10 · 723844 5.08 · 7241411 5.08 .724454 5.10 .724760 5.08 .725005 6.08 .725370 5.07 9.725674 --Cotan«. D.I",
CotaD«. 10. 292S34
.292.122
.~g..rJIO
.2911\98 . 291586 . 291274
.290963
la." , 60 59 68 67 56 65 54
.200G51 0
63
.289718
lie 411 411
:29OOl9 10.28NJ7
.288006
.:BI785 .288415 .=164
•
8M
.l!87544
.287234
.286924 .2866l4
10. ~
. 2S5995 . 2856SIJ
.28.';376 . 285067 . 284768 .284149 . 284140 . 28: 2
. 283523
10. 283215
.282907 .282599 .282291 .281983 .281675 .281367 .281000
.2807.52
.280445 10.280138 .279831 .279624 .2711217 .278911 .278604 .278298 .277991 .277685 .277379 10. 277073 .276768 .276462 .27615& .275851
.27S&46
&2 51
D 46 4Ii
44 6a G 41 40 38 38 37 38 a5 34
88 ~
31 30 2t 28 27 36 25 24 lIZ 22 21 20 111 18 17 16
Iii
14 13 12 11 10 8 8 7 6
II 4
a
.276340 .274W5 .274630 10. 274326
2
Tang.
I , I
1
a
'l'.AJlGBHT8, A.Ha Q9TANGENT8.
28.. ,
o1 2
3 4
,Ii 6 7
~
10
11 12 13 14 15
16
17 18 19 20 21 ~
23 24 25
~
27 28 29
ao
31 32 33 34
36
a6 37 38 38 tIO
41
::.. !
45 46 47
I 9.671609 Bwe.
• 671847 • 6~ .• 672321 672568 .6727gs .673032 673268 .673505 .673741 .673977 9. 674213
~
. 674919 . 675155 . 675.190 • 675Gl4 . 675859
. 071lO94
. 671l328 9. 676.\62 . 676796 • 677030 . 677264 . 677498 • tl77731 . 677964 . 67 197 • 7 430 . 678003 9. 678895 • 679128 • 679360 .6711692 • 67gg'.!4 • 680056 .680288 .680519 .6B0750
.680982 9. 681213 . 681443 • 68 1074 . 681905 • t182135 • . 682595 • Cl82l>'25
~
3.92 3.93 3.92 3.90 3.92 3.92 ,3.90 3.90 3.90 3. 90 3.90 3.90 3. 88 3. 88 ' 3. 88 3.88 3. 88 3. 87 3. 88 3. 87 3. 87 3. 87 3. 87 3. 87 3. 85 3. 85 ,3. 87 30.85 3.83 3. 85 3.85 3.83 3. 83 . 3. 83 3.83 3. 83 30.82 3.83
.945OIi8 .944990 .944922 .944864 .944786 .944718
.944660 .944582 9.944514 . 944446 .944377 .944309 • 944241 .944172 .944l04
.944036 .943967 . 9438Il9 9. 943830 • 943761 .1143693 . 943624 • 943555 .943486 .943417 .943348 .943279 .943210 9.9-13141 • 94;1072 .lI-tJO()3
. 1I4!..'il:14 . 1I-12btl4 . 942795
26
26rJ6 7 .11-12517
.\1. "
!l ..~21 ""~ .... "" ~ 3.82 : ?OO8
9 683514 114' IllS .....-, 66 .684430 57 .684658 68 .684887 69 .685115 60 9'.6855 71 43 6853 __ __ , Cosine.
-~
U8·
I D. 1". II
T
ang. 9. 72.>674 .725979 .726284 .726588 .7268112 .727197 .727601 .727805 . 'r.l8l09 .728412
D • 1"•
1.12 .729323 1.13 .729626 L 13 .729929 1. 13 .730233 1. 13 .730535 1. 13 .730838 1.13 .731141 1.13.731444 1.13 .731746 1. 13 9. 732048 1. 15 .732361 1.13 .732603 1. 13 • 732955 1. 15 .733257 1. 13 .733558 1. 13 .733860 1.15 . 734162 1. 13 . 73«63 1.15 • 734764 L 15 8. 735066 1.13 .735367 1. 15 . 735668 1. 15 . 735969 1. 15 .736269 1.15 .736570 1.15 .736870 1. 15 . 737171 1.15.737471 1. 15 .737771 L 15 9. 738071 1.15 .738371 1. 15 .738671 1. 17 . 738971 1. 15 .739271 1. 15 .739570 1. 17 • 739870 1.1S .740169 1.17 .740468 L • , . ." 1.17 9.741066 741365 1.17.
5.05 5.05 5.05 5.07 5.03 5.05 5.05 5.05 5.03 5. 03 5.05 5.03 5. 03 5.03 5.02 5.03 5.03 5. 02 5. 02 5. 03 5.02 5. 02 5. 02 5.00 5.02 5.00 5. 02 5.00 5.00 5. 00 5.00 5.00 5. 00 5.00 4. 98 6. 00 4.98 4.98
-1.12 1.13 1.12 1.12 1.13 1.12 1. 12 1.13 1.13 1. 12
3.82 3. 82 3.80 3.82 3.80 3.80
D--.1".
. 942'1"19
. O.t.!Hl9 . 9420'l9 .9 !9 . !l41o. 041 19 9. 941 19 ,__ Sine.
~
1. 15 1.17 1.17 1.17 1.17 1.17 D-.-l" '.
1151·,
_I ~-
5.08 5.08 5.07 5.07 5.05 5.07 5.07 5. 07 5.05
:~= t= ~=l:l ~~ ~= r.~
• 6S3055 48 . ti83284 49 III SO 1 •
I
D • 1". .11 . Cosine. 3. 97 9. 945935 3. gs .945868 3.115 .945800 3.115 .945733 3. gs .945006 3. gs .9455gs .3.93 .945531 3. 95 .945464 3. 93 . : 3. 93 .945328 ' 3. 93 .945261
<.. 4.98
.741664 .741962 .742261 .742559 .742858 .743156 .743454 9.143752
4.98 4. 98 4.97 4. 98 4. 97 4.98 4.97 4. 97 4.97
CotaDg.
D. 1".
'I
Cotapg. SO----- ~ 59 10.274326 68 .274021 .273716 , 57 56 .273412 55 .273108 54 .272803 53 .272499 52 .272195 .271891 ~I
:=
49
.269465
46 45 44 43 42 41 40
48 47
10. 270980 :.270677 .270374 .270071 .269767 .269162 .268859 .268566 .268254 10. 267952 .267649 • 267347 .267045 .266743 .266442 .266140
39 38 37 36
35 34 33 ~
31 30
.21»838 .265537 • 265236 10. 26493' . 264633 • 264332 .264031 .263731 .263430 .263130 .262829 .262529 . 262229 10.261929 .261629 .261329 .261029 .260729 • 260430 .260130 .259831
29 28 27 26 25 24 23 ~
21 20 19 18 17
111
15 14 13 12 11 10 9 8 7
.""'"
.259233 lo.2f08934 . 20SG35 .:u.8336
.~' . ~57739
·6
5 4 3
.2.17Hl . 257H 2 I 2 .2.3IJ8f4 .2.;6/; 46 10. T 25Wf!I -
ang.
I
J
1
'
Q
'
6'·
'!'ULB •• - LOOARITO.IC 81NE8, . 008INB8,
0 1 2 3 4 5 6 7 8 9 10
41 (2
43
..
44 45 46 47 48 49 50 51 52 63 54 65 56 67 68 59 'eO
9.6855~ .685 .680027 .68625 4
686482
:686709 686936
:687163 687389 :687616 .687843
9694786 . 695007
:695229 695450
.=m :695671
• 4 ':4 :696775
- , "I CosIne.
3.80 3.80 3.78 3.80 3. 78 3. 78 3.78 3. 77 3.78 3. 78 3.77 3.77 3. 77 3. 77 3. 75 3.77 3. 75 3. 75 3. 75 3.75 3. 75 3.75 3.73 3.73 3.73 3.73 3.73 3.73 3.72 3.73 3.72 3.72 3.72 3.72 3.70 3.72 3.70 3.70 3.70 3.70 3.70 3.68 3.70 3.68 3.68 3.68 3.68 3.68 3.67 3.68 3.67 3.67 3.87 3.65 3.67 3.67 3.65 3.65 3.65 3.65
9.941819 .94 1749 .941679 .941609 .941539 941469 : 941398 .941328 .941258 .941187 .941117
.93811~ .93804 .937967 .937895 .937822 .937749 .937676 .937604 9.937531
1.17 1.17 1.17 1.17 1.17 1.18 1.17 1.17 1.18 1.17 1.18 1.18 1.17 1.18 1.18 1.17 1.18 1.18 1.18 1.18 1.18 1.18 1.18 1.18 1.18 1.20 1.18 1.18 1.20 1.18 1.20 1.18 1.20 1.20 1.18 1.20 1.20 1.20 1.18 1.20 1.20 1.20 1.22 1.20 1.20 1.20 1.20 1.22 1.20 1.20 1.22 1.20 1.22 1.22 1.20 1.22 1.22 1.22 1.20 1.22
9.743752 .7 44000 .7 K!48 .74464Ii .7 44943 .745240 .745538 .745835 .7 46132 746429· 746726 9. 747023 .747319 747616 :747913 .748209 .748605 .7488Ol .74!KNl .749393 .749689 9.749985 750281 '7~76 :750872 .751187 .751462 751757 :752052 .762347 .752642 9.752937 .753231 .753526 .753820 .754115 .754409 .754703 .754997 .765291 .755585 9.755878 .756172 .756465 .756759 .757002 .757345 .757638 .757931 .758224 .768517 9.758810 .759102 .769395 .759687 .759979 .7fffr12 .760564 .760856 .761148 9.761439
Sine.
D.l".1
Cotang.
9.941046 .940975 .9409IXi
.940834
.940763 .940693
.940622 .940651
.940480
.940409 9.940338 .1140267 .940196 .940125 .940054
::f .939840 .939768
.939697 9.939625 .939554 .939482 939410 :939339 .939267 .939195 .9391~ .93905 .938980 9.938908 .938836 .938763 .938691 .938619 .9385 47 .938475
938402 938330
938258 9.938185
118"
4.97 4.97 4.95 4.97 4.95 4.97 4.95 4.95 4.95 4.95 4.95 4.93 4.95 4.95 4.93 4.93 4.93 4.93 4.93 4.93 4.93 4.93 4.92 4.93 4.92 4.92 4.92 4.92 4.92 4.92 4.92 4.90 4.92 4.90 4.92 4.90 4.90 4.90 4.90 4.90 4.88 4.90 4.88 4.90 4.88 4.88 4.88 4.88 4.88 4.88 4.88 4.87 4.88 4.87 4.87 4.88 4.87 4.87 4.87 4.85
D.I".
150"
10. 256248 2M!I5O 255652
60 59
.2547 60 .254462 .254165
67 56 M 64 63 52 61
:= .=
:253274 10. 252!iYT7 262ti81 .252384
.252087
.251791 .251495 .251199
.2509m
:=r 10.250015 .249719 .249424 .249128 .248833 .248538 .248243 .247948 .247653 .247358 10.247063 .246769 .246474 .246180 .245885 .245591 .245297 .245003 .244709 .244415 10.244122 .243828 .243635 .243241 .242948 .242655 .242362 .242069 .241776 .241482 10. 241 190 .24a!98 .240605 .240313 .240021 239728 239436 144 238852 10. 238561
:239
58
50 49 48 (7 46 45
44
43 (2
41 40
39 38 :rl 36 35
34
33 32 31
30 29
28 27
26 26 24
23 22 21
20 19 18 17 16 16 l(
13 12 11 10 9 8 7 6 6 4 '3 2 1 0
Tang
eo"
156
80·
9.698970 .699189
.699407· .6Im26
31 32 33 34 35 36 37 38 39
40 41
42
43 44 45 46 47 48 49 50 51 52 53 54 55 56 67 68 59 60
.699844 .700062 .700280 .700498 .700716 .700933 .701151 9.701368 .701585 .701802 .702019 .702230 .70241i2 .702669 .702885 .703101 .703317 9.703533 .703749 .703964 .704179 .704395 .704610 .704825 .705040 .705254 .705469 9.705683 .705898 .706112 .706326 .706539 .706753 .706967 .707180 .707393 .707606 9.707819 .708032 .708241i .708468 .708670 .708882 .709094 .709306 .709518 .709730 9.709941 .710153 .710364 .710575 .710786 .710997 .711208 .711419 .711629 9.711839
3.65 3.63 3.65 3.63 3.63 3.63 3.63 3.63 3.62 3.63 3.62 3.62 3.62 3.62 3.62 3.60 3.62 3.60 3.60 3.60 3.60 3.60 3.68 3.68 3.60 3.68 3.68 3.68 3.57 3.68 3.57 3.68 3.57 3.67 3.M 3.57 3.57 3.M 3.M 3.M 3.65 3.65 3.55 3.55 3.53 3.53 3.53 3.53 3.53 3.53 8.52 8.53 3.52 3.52 3.52 3.52 3.52 3.52 3.50 3.50
9.937531 .937468 .937385 .937312 .937238 .937165 .937092 .937019 .936946 .936872
.936799
1
9.93672Ii .936652 .936578 .936505 .936431 .936357 .936284 .936210 .936136 .930062 9.935988 .935914 .936840 .935766 .935692 .935618 .935543 .935469 .935395 .935320 9.935246 .935171 .935007 .935022 .934948 .934873 .934798 .934723 .934649 .934Ii74 9.934499 .934424 .934349 .934'1:14 .934199 .934123 .934048 .933973
.933898 .933822 9.933747 .9331171
1.22 1.22 1.22 1.23 1.22 1.22 1.22 1.22 1.23 1.22 1.23 1.22 1.23 1.22 1.23 1.23 1.22 1.23 1.23 1.23 1.23 1.23 1.23 1.23 1.23 1.23 1.25 1.23 1.23 1.25 1.23 1.25 1.23 1.25 1.23 1.25 1.25 1.25 1.23 1.25 1.25 1.25 1.25 1.25 1.25 1.'1:1 1.25 1.25 1.25 1.'1:1 1.25
.9331196
.933520 .933445 .933369 .933293 .933217 .933141 9.933066
9.7614.39 .761731 .762023 .762314 .762006 .762897 .763188 .763479 .763770 .764061 .764352 9.764643 .764933 .765224 .765614 .765S05 .766095 .700385 .766675 .766965 .767255 9.767645 .767834 .768124 .768414 .768703 .768992 .769281 .769571 .769860 .770148 9.170437 .770726 .771015 .771303 .771592 .771880 .772168 .172457 .77'l:I4Ii .773033 9.773321 .773608 .773896 .774184 .774471 .774759 .775046 .775333 .775621 .775908 9.776195 .776482 .776768 .m055 .777342
4.87 4.87 4.85 4.87 4.85 4.85 4.85 4.85 4.85 4.85 4.85 4.83 4.85 4.83 4.85 4.83 4.83 4.83 4.83 4.83 4.83
49 48 47 46 4Ii 44 43 42 41 40 39 38
37 36 35 34 33 32 31 80 29 28 '1:1 26 25 24 23 22 21 20
.m628
.777915 .778201 .778488 9.778774
D. I". /19•
120·
157
-.
,
.
TABLE •• -LOOAIU!'SKI(l SIKES, COSINES,
al~
,
Sine.
l).1".
CosIne.
D.I".
.1132990
1.27 1.27 1.27 1.27 1.28 1.27 1.27 1.27 1.28 1.27 1.27 1.28 1.27 1.28 1.28 1.27 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.30 1.28 1.30 1.28 1.30 1.28 1.30 1.30 1.28 1.30 1.30 1.30 1.30 1.30 1.30 1.30 1.30 1.30 1.32 1.30 1.30 1.32 1.30 1.32 1.30 1.32 1.30 1.32 1.32 1.32 1.32 1.32
Tang.
- - --- - - - - - - - - - 0- 9.711839 9.933066 9.77'if174 1 .712050 2 .712200 3, .712469 4 .712679 6 .712889 6 .713098 7 .713308 8 .713517 9 .713726 10 .713935 11 9.714144 12 .714352 13 .714561 14 .714769 15 .714978 16 .715186 17 .715394 18 .715602 19 .715809 20 .716017 21 9.716224 22 .716432 23 .716639 24 .716846 25 .717063 26 .717259 27 .717466 28 .717673 29' .717879 30 .718085 31 9.718291 32 .718497 33 '.718703 34 .718909 35 .719114 .719320 36 37 .719625 38 .719730 39 .719935 40 .720140 41 9.720345 42 .720549 43 .720754 44 .720958 45 .721162 46 .721366 .721570 47 .721774 <18 49 .721978 .722181 60 61 9.722385 62 .722588 sa .722791 64 .722994 .723197 65 .723400 66 57 .723603 68 .723805 59 .724007 9.724210 60 c---, Cosln •.
HI
.
3.62 3.60 3.<18 3.60 3.60 3.<18 3.60 3.<18 3.<18 3.48 3.<18 3.47 3.48 3.47 3.<18 3.47 3.47 3.47 3.45 3.47 3.45 3.47 3.45 3.45 3.45 8.43 3.45 3.45 3.43 3.43 3.43 3.43 3.43 3.43 3.42 3.43 3.42 3.42 3.42 3.42 3.42 3.40 3.42 3.40 3.40 3.40 3.40 3.40 3.40 3.38 3.40 3.38 3.38 3.38 3.38 3.38 3.38 3.37 3.37 3.38
.932914 .932838 .932762
.932685 .932609 .932533 .932457 .932380 .932304 9.932228 .932161 .932075 .931998 .931921 .931845 .931768 .931691 .931614 .931637 9.931460 .931383 .931306 .931229 .931152 .931075 .930998 .930921 .930843 .930766 9.930688 .9306l1 .930633
.930456 .930378 • ga(J3()()
.900223 .1130145 .930067 .929989 9.929911 .929833
.929765 .929677 .929699 .929621 .929442 .939364 .929286 .929207 9.929129
.929050 .928972 .928893
.928815 .928736 .928667 .928578 .928499 9.928420
.779060
.77V346 .77l1632 .779918 .7&W3 .780489
.7Flm5 .781060 .781346 .781631 9.781916 .782201
.782486
.782771 .783066 .78334l .783626 .783910 .784196 .784479 9.784764 .78604S .786332 .785616 .785000 .786184 .786468 .786752 .787036 .787319 9.787603 .787886 .788170 .788453 .788736 .789019 .789302 .789585 .789868 .790151 9.79043' .790716
.790999 .791281 .791563 .791846 .792128 .792410 .792692 .792974 9.793256 .793638 .7113819 .794101 .794383 .794664 .794946 .795227 .796508 9.796739
D.I". 4.77 4.77 4.77 4.77 4.75 4.77 4.77 4.75 4.77 4.75 4.75 4.76 4.75 4.75 4.76 4.75 4.75 4.73 4.75 4.73 4.75 4.73 4.73 4.73 4.73 4.73 4.73 4.73 4. 73 4.72 4.73 4.72 4.73 4.72 4.72 4.72 4.72 4.72 4.72 4.72 4.72 4.70 4.72 4.70 4.70 4.72 4.70 4.70 4.70 4.70 4.70 4.70 4.68 4.70 4.70 4.68 4.70 4.68 4.68 4.68
- - - -D.l". - - - - - --- , - - - --('otang. D.I". Sine. D. 1".
158
1~8°
Cotang. 10.221226 .220940 .220654 .220368 .220082 .219797 .219611 .219225 .2l894O .218654 .218369 10.21W14 .217799 .217514 .217229 .216944 .216659 .21~ .21 .215805 .215521 10.215236 .214962 .214668 .214384 .214100 .213816 .213532 .213248 .212964 .212681 10.2l2397 .212114 .211830 .211647 .211264 .210981 .210698 .210415 .210132 .209849 10.209566
.209284 .200001 .208719 .208437 .208154 .207872 .207500 .207308 .207026 10.206744 .206462 .206181
, 60 59 58 57 56 55 54 53 52 51 60 49 48 47 46 45 44 43 42 U 40 39 38 37 36 35 34 33 32 31 30 29
28 27 26 25
24 23 22 21 20 19 18 17 16 15 14 13 12 11 10
e
.205054 .204773 .204492 10.204211
8 7 6 6 4 8 2 1 0
Tang.
,
.205899 .205617
.206336
,..lKGB.. "'1'8, AND flM'UIJIN'I'8.
11 12 13 14 15 16 7 20 19
Sine. ---9. 724210 · 724412 · 724614 .724816 • 725017 .725219 · 725420 .725622 .725823 · 726024 .726225 9. 726426 726626 : . 727 . .727 .727628
~
~
ID.
1". -3. :f7 3. :f7 3. :f7
Cosine. -9. 928420 • 928342 . 928263 • 928183
3. 36 .1128104 3. :f7 • 928025 3.36 .927946 3. :f7 • 927867 3. 36 .9277fr1 3. 36 .927708 3. 36 . 927629 3. 36 9.927549 3. 33 • 927470 3. 36 927390 3. 33 : 927310 3. 36 • 927231 927 3. 33 . 927 3.33. 3.33 .!1l6991
D .1" •
~-
TBDg. 9.795789 1. 30 . 796070 1. 32 . 796351 1. 33 . 796632 1. 32 . 796913 1.32 .797194 1. 32 • 7'¥T 474 1.32 .797765 1. 33 • 798036 1.32 .798316 1. 32 .798596 1. 33 9 7!18fr17 1.32 : 799157 1. 3:j . 7994:f7 1. 33 799717 1. 32 : 799997 1. 33 • 800277 1.33 .800557 1.33. 800836 1.33 .801116
D.I". 4. 68 4. 68 4. 68 4. 68 4. 68 4. 67 4. 68 4.68 4. 67 4. 67 4. 68 4. 67 4. 67 4. 67 4. 67 4. 67 4. 67 4.65 4.67 4.67
I _ __
10. 204211 .203930 • 203649 . 203368 . 203087 • 2028e6 .21)2526 • 202245 .201004 . 2Il1684 .201404 10. 201123 . 200843 .200563 • 200283 • 200003 • 199723 . 199443 .199164 .198884 .198604
Ml: l. .""'" ." ....., ,." .""'" ... ""..,. : ~~~ i il .1126831 1.33 9.801675 4. 67 '.11~66 9.926751 1.33 • 801~ 4. 65 "''' ~23 9.: t~ ::~m U~ :=3 !.~ :~= : 728825 3. 32 .926511 1. 33 .802792 4. 67 .196928 729024 3. 32 . 926431 1. 33 '80335 4. 65 • 196649 24 803072 25 : 720023 3.32 • :&A 1. 36 4. 65 . 196370 1
~ :5l ~& ::::::: !lIe t::: 1~ }~4
29 30 31 32 33 34 36 36
:rr
38 39 40 41
~
45 46
~
49 50 61
~
64 65 66
.730018 .730017 9. 730415 .730613 .730811 .731009 .731206 .731404 .731602 .731799 731996 : 732193 9.732390
3.32 3.30 3. 30 3. 30 3.30 3. 28 3.30 3. 30 3.28 3. 28 3.28 3.28 3.28
.926029 9.9251149 • 925868 .925788 .925707 . .9255 .925465
733177 : 733373 l33569 '733765 :• 734157 733961
3. Z1 3. Z1 3. Z1 3.27 3. Z1 3. 27
.924736 .924654 .924572 .924491 • 924400
9.~~ '734744 . 734939 : 7351ag .73533 · 735525 736719 .735914
3. 23 3. 25 3.25
""'_
D. '''..
~
'.~
.~
:: t~=
g~59 .
.925222 9.925141 .925060
1.33 1.36 1. 33 1. 36 1.36 1.36 1.33 1.36 1.36 1.36 1.36 1.36 1.36
9. 804466 .804745 . 805023 805302 : 805580 .80585 9 806137 : 8064 15 .8066 93 .806971 9.807249
.194977 • 194698 .194420 .194141 .193863 .193585 .193307 .193029 10.192751 .192473
.807805
.191917
15:
:ii:El
.8075Z1
1.36 1. 37 1.36 1.37 1. 36
808916 . 809193 :.809748 809471
1. 37 _
__
1-' 60
59 58 67 66 65 64 63 62 51
60
49 48 47 46 45 +I 43 42 41 40 39 38 37 36 36 34 33 32 31 30 29 2!1 Z1 26
25 24 23 22 21 20
.192195
.190807 .190529 • 190252
"
1-=8O:=~~~735~I~~~~~~:=R=-~~~~~I~D:·21'~"Jl~Co~~mng!.~~D.~I~.~______~~:
,--,
,....
_
122·
1511
,
146°
9.7361119
.7~
11 12 13 14 15 16 17 18 19
.20 21 22 23
24
26 26 27 28 29 30
.7364 .736692 .736886 .737~ .7372 .737467 .737661 .737855 .738048 9.738241 .738434 .738627 • 7388~ .7ago
:~=:
.7395 .739783 .739975 9.740167 40650 • 74Oi159 .7 42 .7t07 4 .74093 .741125 .741316 .741~
.741699 .741889
9.74.2081f .74227 .742462 .742652 .742842 .743033 .743223 .743413 .743602 .743792
3.23 3.26 3.23 3.23 3.23 3.23 3.22 3.23 3.23 3.22 3.22 3.22 3.22 3.22 3.22 3.22 3.20 3.20 3.22 3.20 3.20 3.20 3. IS 3.20 3.20 3.18 3.18 3.20 3.18 3.17 3.18 3.18 3. IS 3.17 3.17 3. IS 3.17 3.17 3.15 3.17 3.17 3.15 3.17 3.15 3.15 3.15 3.15 3.15 3.13 3.15 3.13 3.15 3.13 3.13 3.13 3.13 3.12 3.13 3.12 3.13
9. 923691
.923509 .923427 .923345
:= .= := .923098 .923016
:922768 9.922686
.922003
.922620
.922438
.922189 .922106 .922023 .921940 9921857 :921774 .921691 .921007 .921524 .921441 .921357 .921274 .921190 .921107 9.921023
.9.20939 .93l856 .920772 .920688
:: .920436 .920352
.920268 9.920184 .920099 .920015 .919931 .919846 .919762 .919677 .919593 .91~
.919424 9.919339 .919254 .919169 .919085 .919000 .918915 .918830 91S74.5 • 91S659 9.918574
1.37 1.37 1.37 1.37 1.37 1.38 1.37 . 1.38 1.37 1.38 1.37 1.38 1.38 1.37 1.38 1.38 1.38 1.38 1.38 1.38 1.38 1.38 1.38 1.40 1.38 1.38 1.40 1.38 1.40 1.38 1.40 1.40 1.38 1.40 1.40 1.40 1.40 1.40 1.40 1.40 1.40 1.4l! 1.40 1.40 1.42 1.40 1. 42 1.40 1.42 1.40 1.42 1.42 1.42 1.40 1.42 1.42 1.42 1.42 1.43 1.42
133·
~
160
9.S12517 .S12794 .SI3070 .S l33f7 .S l3623 .Sl3899 .S14176 .S14452 .S14728 SlliOO4 8M~
9.S~ .S1M3 .816107 .SI6382 • SIt1668 .816933 .817209 .SI7484 .817759 .Sl8035 9.818310 .8l8585 .8l88OO .SI9135 .SI941O .SI9684 .SI9959
.820234 .S~
.8207 9.821057 .821332 .821606 .821880 .S221M
.= :822977 823251
:823524 8.823~
::s .824619 .824893 .825166 .825439 .825713 .825986
826259 9. 826532
826805
:82707S .827351 827624 :S27897 828170 828442 828715 9. 828987
4.00 4.00 4.58 4.00 4.58 4.00 4.58 4.58 4.00 4.58 4.58 4.58 4.58 4.58 4.57 4.58 4.58 4.57 4.58 4.57 4.58 4.57 4.57 4.57 4.58 4.57 4.57 4.57 4.55 4.57 4.57 4.55 4.57 4.57 4.55 4.55 4.57 4.55 4.65 4.55
10.l84445 .184169
:=
.l83342 .183067 .182791 .182516 .182241 .181965 10.181690 .181415 .181140 .18)865
.180690 .l8031~
.l8OO4
.179766 .179492 .179217 10.178943 .178668 .178394 • 17S120 177846 : 177571 .177297 .177023 .176749 .176476 10.176202 .175928 .175655 .175381 .175107 .174834 .174.561 .174287 .174014 .173741 10.173468 .173195 .172922 .172649 .172376 .172103 .171830 .171558 .171285 10.171013
49 48 47 46 4.5 44 43 42 41
to
39 38 37 36 35 34 33 32 31 30
29 28 27 26 26
24
23 22 21 20
.
.
9.747562 • 747749 .7471136 .748126 .748310 .748497 • 748683 .748870 · 749056 .749243 .749429 .749615 9.749801 .749987 .750172 .750358 • 750543 .750729 .750914 .751099 .751284 9.751469 .751654 .751839 .752023 23 .752208 24 .752392 25 .7.52576 26 .752760 27 .752944 28 .753128 29 9.753312 30 .763495 .753679 .753862 · 754046 .754229 .754412 .754595 • 75-fl78 • 754960 9.755143 .755326 .755508 .755690 .755872 • 756054 .766236 .7564l8 .756600 .71i6782 \I. 756003 .757144 .757326 .757507 .757688 .757869 .758050 .71i823O 69 .758411 60 .9.753591 __ _ 11 12 13 14 15 16 17 18 19 20 21 22
3.10 3.10 3.08 3. 10 3. 08 3. 10 3.08 3.08 3.08 3.08 3.08 3.08 3.07 3.08 3.07 3.07 3.07 3.07 3.07 3. 07 3.06 3.07 3.07 3. 07 3.06 3.06 3. 06 3. 06 3. 03 3.06 3. 06 3.03 3.03 3.03 3. 03 3.03 3. 03 3.03 3. 03 3. 00 3. 00 3. aI 3.02 3.02 3.02 3. 00 3.00 3.02 3.00
Cosine. 4 9..918489 91857 .918404 .918318 .918233 . 918147 .918062 . 917976 .917891 .917805 .917719 9.917634 .917548 .917462 .917376 . 917290 .917204 .917118 .917032 .916946 .916859 9.916773 .916687 .91(j6()() .916514 • 91G427 .916341 .916254 .916167 .916081 .915994 9.915907 .915820 .915733 . 915646 .915559 .915472 .915385 . 915297 • 915210 .915123 9.915035 .914948 .914800 .914773 . 914685 .914598 .914510 .914422 .914334 .914246 9.1114158 .914070 .913982 .913894 .913806 .913718 .913630 .913541 .913453 9.913365
D.l". 1. 42 1. 42 1. 43 1. 42 1. 43 1. 42 1. 43 1.42 1. 43 1. 43 142 1.. 43 1. 43 1. 43 1. 43 1.43 1.43 1. 43 1.43 1.45 1.43 1.43 1. 45 1.43 1. 45 1.43 1. 45 1. 45 1. 43 1.45 1. 45 J., 45 r: 45 1. 45 1.45 1. 45 1. 45 1. 47 1. 45 1. 45 1. 47 1. 45 1. 47 1. 45 1. 47 1.45 1.47 1.47 1.47 1.47 1.47 1.47 1.47 1. 47 1. 47 1.47 1.47 1. 48 1. 471 1.47
9.828987 .829260 .829532 .829805 830077 .830349 . 830021 830893 .831165 .831437 .831709 9.831981 .832253 .832525 . 832796
49 48 47 46 45 44 43 42 41
.833068
.833339 .833611 .833882 .834154 .834425 9.834696 .834967 .835238 .835509 .835780 .836051 .836322 .836593 .836864 .837134 9.837405 .837675 . 837946 .8382!{\ .838487 .838757 . 839027 . 839207 .839568 .839838 9.840108 .840378 .840648 . 840917 .841187 .841457 .841727 .841996 .842266 .842535 9.842805 843074 .843343 . 843612 .843882 .844151 . 844420 .844689 .844958
4. 52 4. 52 4.52 4.52 4. 52 4. 52 4.52 4. 52
t~ 4.50 4. 52 4.50 4. 50 52 44. 50 4. 50 4. 52 4. 50 4. 50 4.50 4. 50 4. 48 4.50 4.50 4.50 4.48 4.50 4. 48 4.50
i:~'~::~~~~~D~'I~"~~-~S~I~~_1~-~-~-~~~9~.845~22~7~~4.2:48Jc~~~=t= •
41479-10--11
ne.
D.l".II~--tang. D.l".
181
40
39 38 37 36 35
t32 31
ao
20 28
~
25 24 23 22 21 20 19 18
~~
17 16 13 12 11 10 9
~
~
6 31 2 0
TA.BLE '.-LOGA.BITBIIIC 8INES, COSINES, ,
Sine.
o
9.758591 .7fRl72 .758952 .759132 .759312 .759492 .759672 .769852 .760031 .760211 .760390 9.760669 .760748 .760927 .761106
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39
40 41 42 43
4445 46 47 48 49 ~
61 62 63
64 65 56 67 68 59 60
.761~
.761464 .761642 .761821 .761999 .762177 9.762356 .762534 .762712 .762889 .763067 .763245 .763422 .763600 .763777 .763964 9.764131 .764308
.764486 .764662 .764838 .765015 .765191 .766367 .765544 .765720 9.765896 .766072 .766247 .766423 .766598 .766774 .766949 .767124 .767300 .767475 9.767649 .767824 .767999 .768173 .768348 .768522 .768697 .768871 .769045 9.769219
- - , - Cosine.
D.l". [ Cosine. 3 02 3' 00 3' 00 3'00 3' 00 3' 00 3'00 2'98 3' 00 2' 98 2: 98 2.98 2.98 2.98 2.98 2.98 2.97 2.98 2.97 2.97 2.98 2.97 2.97 2.95 2.97 2.97 2.95 2.97 2.95 2.95 2.95 2.95 2.95 2.95 2.93 2.95 2.93 2.93 2.95 2.93 2.93 2.93 2.92 2.93 2.92 2.93 2.92 2.92 2.93 92 2.90 2. 2.92 2.92
1
~:~ I
2.90 2.92 2.90 2.90 2.90
9.913365 .913276 .913187 .913099 .913010 .912922 .912833 .912744 .912655 .912566 .912477 9.912388 .912299 .912210 .912121 .912031 .911942 .911863 .911763 .911674 .911584 9.911495 ' .911405 .911315 .911226 .911136 .911046 .910956 .910866 .910776 .910686 9.910596 .910506 .910415 .910325 .910235 .910144 .910054 .909963 .909873 .909782 9.909691 .909601 .909510 .909419 .909328 .909237 .909146 .909065 .908964 .908873 9.908781 .908690 .908599
.908507 .908416
.908324 .908233 .908141 .008049 9.907958
D.l".11 Tang. 1 48 l' 48 l' 47 1'48 l' 47 l' 48 1'48 1'48 l' 48 l' 48 1: 48 1.48 1.48 1.48 1.50 1.48 1.48 1.50 1.48 1.50 1.48 1.50 1.50 1.48 1.50 1.50 1.50 1.50 1.50 1.50 1.50 1.50 I.S2 1.50 1.50 1.52 1.50 1. 52 1.50 1.52 1.52 1.50 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.53 1.52 1.52 1.53 1.52 1.53 1.52 1.53 1.53 1.52
I
9.845227 .845496 .845764 .840033 .846302 .846570 .846839 .847108 .847376 .847644 .847913 9.848181 .848449 .848717 .848986 .849264 .849522 .849790 .850057 .850325 .850593 9.850861 .851129 .851396 .851664 .851931 .852199 .852466 .852733 .853001 .853268 9.853535 .853802 .854069 .854336 .854603 .854870 .855137 .855404 .855671 .855938 9.856204 .856471 .856737
.857004 .857270 .857537 .857803 .858069 .858336 .858602 9.858868 .859134 .859400 .859666 .859932 .860198 .860464 .860730 .860995 9.861261
D.1". ~ D.1".1 Cotang.
1«°
_ tan _D_._l_"·_I __Co '_ _ g_·_I __ 4.48 4.47 4.48 4.48 4.47 4.48 4.48 4.47 4.47 4.48 4.47
10. 154773 60 .154504 59 .154236 68 ,.153967 57 .153698 56 .153430 65 .1b316154 .16289253 .152624 52 .152356 51 .152087 50
4.47 4.47 4. 48 4.47 4.47 4.47 4.45 4.47
10: .151283 .151014 , .150746 .160478 .150210 • 149943 .149675 .149407
40
4.47
10:}= .148604
: 37
.147801 • 147534 • 147267 . 146999 .146732
33 32 31 30
10J= .145931 .145664
: 27 26
• 144863 .144596 144329 . 144062
23 22 21 20
lOJlli~
~~
.143263
17
• 142463 .142197 .141931 .141664 .141398
14 13 12 11 10
t!~
U~
4.45 4.47 4.45 4. 45 4.47 4.45 4.45 4.45 4.45
!: ~ 4.45 4.45 4. 45
!:4.43~ 4. 45
!::: 4.43 4.45 4.43 4.43 4.45 4.43
4.43 4.43 4.43
mm :: 47 46 45 44 43 42 41
:~= 34 ~
:~~
.
:U~
~
~~
~
lOJ: . 140600
7
t~
• 140334 .140068
II 6
4.43 4. 43 4. 42 4. 43
• 139270 • 139005 10. 138739
2 1 0
4.43
D.l".
:~=
~
Tang.
MO
126"
162
36·
0 1 2 3 4 6 6 7 8 9 10 11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26 27
28 29 30 31 32 33
34 35
36 37 38 39 40
41 42 43 44 45 46 47
48 49 50 51 52 53 54 55 56 57 58 59 60
9.769219 .769393 .769566 .769740 .769913 .770087 .770260 .770433 .770006 .770779 .770952 9.771125 .771298 .771470 .771643 .771815 .771987 .772159 .772331 .772503 .772675 9.772847 .773018 .773190 .773361 .773533 .773704 .773875 .774046 .774217 .774388 9.774558 .774729 .774899 .775070 .775240 .775410 .775580 .775750 .775920 .776090 9.776259 .776429 .776598 .77&768
2.90 2.88 2.90 2.88 2.90 2.88 2.88 2.88 2.88 2.88 2.88 2.88 2.87 2.88 2.87 2.87 2.87 2.87 2.87 2.87 2.87 2.85 2.87 2.85 2.87 2.85 2.85 2.85 2.85 2.85 2.83 2.85 2.83 2.85 2.83 2.83 2.83 2.83 2.83 2.&~
.777100 .777275 .777444 .777613 .777781 9.777950 .778119 .778287 .778455 .778624 .778792 .778960 .779128 .779295 9.779463
2.82 2.83 2.82 2.83 2.82 2.82 2.82 2.82 2.82 2.80 2.82 2.82 2.80 2.80 2.82 2.80 2.80 2.80 2.78 2.80
Cosine.
D.I".
• T16937
9.907958 .907866 .907774 .907682 .907590 .907498 .907406 .907314 .9072'.12 .907129 .907037 9.906945 .906852 .906760 .906667 .906575
.906482 .906389 .906296
.906204 .906111 9.906018 .00>925
.905832 .00>739
.905645 .906552 .00>459
.905366 .905272 .905179 9.905085
.904992 .904898 .904804 .904711 .904617 .904523 .904429
.904336 .904241 9.904l47
.904053 .903959
.903864 .903770 .903676 .903581 .903487 .903392 .903298 9.903203 .903108 .903014 .902919 .902824 .902729 .902634 .902539 .902 444 9. 902349 ~-~
Sine.
1.53 1.53 1.53 1.53 1.53 1.53 1.53 1.53 1.55 1.53 1.53 1.55 1.53 1.55 1.53 1.55 1.55 1.55 1.53 1.55 1.55 1.55 1.55 1.55 1.57 1.55 1.55 1.55 1.57 1.55 1.67 1.55 1.57 1.57 1.55 1.57 1.57 1.67 1.57 1.57 1.57 1.67 1.67 1.58 1.57 1.57 1.58 1.57 1.58 1.57 1.58 1.58 1.57 1.58 1.58 1.58 1.58 1.58 1.58 1.58 ~--
9.861261 .861527 .861792 .862068 .862323 .862589 862854 .863119 863385 .863650 .863915 9.864180 .864445 .864710 .864975 .865240
.865505 .865770
.866035 .866300
.866564 9.866829 .867094 .867358 .867623 .867887 .868152 .868416
.868680
.868945 .869209 9.869473 .869737 .870001 .870265 .870529 .870793 .871057 .871321 .871685 .871849 9.872112 .872376
.873640 .872903 .873167 .873430 .873694 .873957 .874220 .874484 9.874747 .875010 .875273 .875537 .875800 .876063 .876326 .876b89 .876852 9.877114 ~--
D.l".! Cotang.
4.42 4.42 4.42 4.42 4.42 4.42 4.42 4.42 4.40 4.42 4.42 4.40 4.42 4.40 4.42 4.40 4. 40 4.42 4. 40 4. 40 4.40 4.40 4.40 4.40 4.40 4.40 4.40 4.40 4.40 4.38 4.40 4.40 4.38 4. 40 4.38 4.40 4.38 4.38 4. 40 4.38
49"
48 47
46 45 44 43 42 41 40 39 38 37
36 35 34 33 32 31 30
19 18 17 16 15 14 13 12 11 10
~-
D.I". M·
126·
163
J
TABLE '.-LOOAKITHIIIC SIIfE8, COSlIfES.
37 0
, SIne. D.l". CosIne. D.I". Tang. D.l"·1 - - --- - - - - - - - - - 0- 9.779463 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
24 25
26 27 28 29 30 31 32 33 34 35 36
37
38 39
40 41 42 43 44 45 46 47 48
49
I
50 51 52 113 54 55 56 57 58 69
SO
.779631 .779798 .779966 .780133 .780300 .780467 .780634 .780801 .780968 .781134 U. 781301 .781468 .781634 .781800 .781966 .782132 .782298 .782464 .782630 .782796 9.782961 .783127 .783292 .783458 .783623 .783788 .783953 .784118 .784282 .784447 '.784612 .784776 .784941 .786106 .786269 .786433 .786597 .785761 .785925 .786089 9.786262 .788416 .786679 .786742 .786906 .787069 .187232 .787395 .787557 .787720 9.787883 .188045 .788208 .788370 .788632 .788694 .788866 .189018 .789180 9.789342
2.80 2.78 2.80 2.78 2.78 2.78 2.78 2.78 2.78 2.77 2.78 2.78 2. 77 2.77 2.77 2.77 2.77 2.77 2.77 2.77 2.76 277 2.76 2.77 2.76 2.75 2.76 2.76 2.73 2.76 2.76 2.73 2.76 2.73 2.73 2.73 2.73 2.73 2.73 2.73 2.72 2.73 2.72 2.72 2.73 2.72 2.72 2.72 2.70 2.72 2.12 2.10 2.12 2.70 2.70 2.10 2.10 2.10 2.70 2.70
9.902:W9 .902253 .902158 .902063 .901967 .901872 .901776 .901681 .901585 .901490 .901394 9.901298 .901202 .901106 .901010 .900914 .900818 .900722 .900626 .900529 .900433 9.900337 .900240 .900144 .900047 .899961 .899864 .899767
.899660 .899564 .899467 9.899370 .899273 .899176 .899078 .898981
.898884 .898787
.898689 .898592 .898494 9.898397 .898299
.898202 .898104 .898006 .897908 .897810 .897712 .897614 .897516 9.897418 .897320 .897222 .897123 .897026
.896926 .896828
.896729 .896631 9.896632
1.60 1.58 1.58 1.60 1.58 1.60 1.58 1.60 1.58 1.60 1.60 1.60 1.60 1.60 1.60 1.60 1.60 1.60 1.62 1.60 1.60 1. 62 1.60 1.62 1.60 1.62 1.62 1.62 1.60 1.62 1.62 1.62 1.62 1.63 1.62 1.62 1.62 1.63 1.62 1.63 1.62 1.63 1.62 1.63 1.63 1.63 1.63 1.63 1.63 1.63 1.63 1.63 1.63 1.65 1.63 1.65 1.63 1.65 1.63 1.66
-- ------,- -CosIne. - - -D.I". SIne. D.I". 127 0
9.877114 .877377 .877640 .877903 .878165 .878428 .878691 .878953 .879216 .879478 .879741 9.880003 .880265 .880528 .880790 .881062 .881314 .881577 .881839 .882101 .882363 9.882625 .882887 .883148 .883410 .883672 .883934 .884196 .884467 .884719 .884980 9.886242
.886504 .886766 .886026
.886288 .886649 .886811 .887072 .887333 .887594 9.887855 .888116 .888378 .888639 .888900 .889161 .889421 .889682 .889943 .890204 9.890465 .890726 .890986 .891247 .891501 .891768 .892028 .892289 .892549 9.892810 ---
Cotang.
4.38 4.38 4.38 4.37 4.38 4.38 4.37 4.38 4.37 4.38 4.37 4.37 4.38 4.37 4.37 4.37 4.38 4.37 4.37 4.37 4.37 4.37 4.35 4.37 4.37 4.37 4.37 4.35 4.37 4.35 4.37 4.37 4.35 4.35 4.37 4.35 4.37 4.35 4.35 4.35 4.35 4.35 4.37 4.35 4.35 4.35 4.33 4.35 4.35 4.35 4.35 4.33 4.35 4.35 4.33 4.35 4.33 4.35 4.33 4.35
D.I".
Cotang. 10.122886 .l22623 .122360 .122097 .121835 .121572 .121309 .121047 .120784 .120622 .120059 10.119997 .119735 .119472 .119210 .118948 .118686 .118423 .118161 .117899 .117637 10.117376 .117113 .116852 .116590 .116328 .116066
.115804
.115543 .115281 .115020 10.114758 .114496 .114235 .113974 .113712 .113451 .113189 .112928 .112667 .112406 10.112146 .1l1884 .1ll622 .111361 .111100 .110839 .110579 .110318 .110057 .109796 10.100635 .109276 .109014 .1087113 .108493 .108232 .107912 .107711 .107451 10.107190
Tang.
I
, 60 59 58 57 56 6.'i 64 63 62 61
60 49 48 47
4li 46 44 43
42 41
40 39 38 37 86 35 34 33 32 31 iIO 29 28 27 26 25
24 23 22 21 20 19 18 17 16 16 14 13 12 11 10 9 8 7 6 6 4 3 2 1 0
, 38"
164
TANGENTS, AND OOTANGEPiTS.
38· Sine. 0 1 2 3 4 6 6 7 8 9 10 11 12 13 14 16 16 17 18 19 20 21 22 23 24 26
26 27 28 29 30
9.789342
• 789504
.789665 .789827 .789988 .790149 .790310 .79Of71 .790632 .790793 .790964 9.791115 .791275 .791436 .791596 .791757 .791917 .792077 .792237 .792397 .792557 9.792716 .792876 .793035 .793195 .7933 54 .7935 14 .793673
.793832
.793991 .794150 9.794308 .794467 .794626 .794784 .794942 .795101 .795259 .795417 .795575 .795733 9.795891 .796049 .796206 .796364 .796521 .796679 .796836 .796993 .797150 .797307
D.l".
Cosine.
2. 70 2.68 2.70 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2. 67 2.68 2.67 2.68 2.67 2.67 2.67 2.67 2.67 2.66 2.67 2.66 2.67 2.66 2.67 2.66 2.66 2.66 2.66 2.63 2.66 2.66 2.63 2.63 2.66 2.63 2.63 2.63 2.63 2.63 2.63 2.62 2.63 2.62 2.63 2.62 2.62 2.62 2.62 2.62
9.896632
.8Il6433 .8Il6335 .896236
.896137 .896038 .896939 .895840 .896741 .89664l .896542 9.895443 .895343 .895244 .895145 .896045 .894945 .894846 .894746 .894646 .894546 9.894446 .894346 .894246 .894146 .894046 .893946 .893846 .893745 .893645 .893544 9.893444 .893343 .893243 .893142 .893041 .892940 .892839 .892739 .892638 .892536 9.892435 .892334 .892233 .892132 .892030 .891929 .891827 .891726 .891624 .891523 9.891421 .891319 .891217 .891115 .891013 890911 .890809 .890707 .890605 9. 890503
D.l". 1.66 1.63 1.66 1.66 1.66 1.66 1.66 1.66 1.67 1.66 1.66 1.67 1.66 1.66 1.67 1.67 1.66 1.67 1.67 1.67 1.67 1.67 1.67 1.67 1.67 1.67 1.67 1.68 1.67 1.68 1.67 1.68 1.67 1.68 1.68 1.68 1.68 1.67 1.68 1. 70 1.68 1.68 1.68 1.68 1. 70 1.68 1.70 1.68 1.70 1.68 1.70 1.70 1.70 1.70 1.70 1.70 1.70 1.70 1.70 1.70
128·
Tang. 9.892810 .893070 .893331 .893591 .893851 .894l11 .894372 .894632 .894892 .895152 .8954l2 9.895672 .895932 .896192 .896462 .896712 .896971 .897231 .897491 .897751 .898010 9.898270 .898530 .898789 .899049 .899308 .899568 .899827
.900087 .900346 .900606 9.900864 .901124 .901383 .901642 .901901 .902180 .902420 .902679 .902938 .903197 9.903456 .903714 .903973
.904232
.904491 .9Of750
.905008 .005267
.905526 .005785 9.906043 .906302
.906580
.906819 .907077 .907336 .907594 .907853 .908111 9. 908369
D.l". 4.33 4.36 4.33 4.33 4.33 4.35 4.33 4.33 4.33 4.33 4.33 4.33 4.33 4.33 4.33 4.32 4.33 4.33 4.33 4.32 4.33 4.33 4.32 4.33 4.32 4.33 4.32 4.33 4.32 4.32 4.32 4.33 4.32 4.32 4.32 4.32 4.33 4.32 4.32 4.32 4.32 4.39 4.32 4.32 4.32 4.32 4.30 4.32 4.32 4.32 4.30 4.32 4.30 4.32 4.30 4.32 4.30 4.32 4.30 4.30
Cotang. 10.107190 .10e930 .106669 .10640II .106149 .105889 .105628 .105368 .106108 .1!M848 .11M588 10.104328 .104068 .103808 .103548 .103288 .103029 .102769 .102509 .102249 .1011190 1001Oi730 .101470 .101211 .100951 .100692 .100432 .100173 .00II913 .099654 .099395 10. 099136 .098876 .0118617 .008358 .098099 .097840 .097580 .097321 .097062
.096803
80 59 58 57 56 55 64 53 52 61 50
49
48 47 46 45 44 43 42 41
40 39 38 37 36 35 34 33 32 31 30 211 28 27
26 26
24 23 22 21 20
10.096544
III
.006286 .096027
18 17 16 15 14 13 12 11 10
.095768
.095509 .095250 .094992 .094733 .094474 .094215 10.093957 .093698 .093440 .093181 .092923 .092664 .092406 .092147 .091889 10,091631
9
8 7 6 5 4 3 2 1 0
101·
165
~
)
.
TA.BLE 9.-LOGA.RITHMIC SINES, COSINES,
39"
-
0 1 2 3 4 I;
6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
24
25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41
42 43 44 45 46 47 48 49 60 61 62 63 54 55 66 67 68 69 00
..
Blne.
D.I".
Cosine.
D.l".
.803357 .803511 9.803664 .803817 .803910 .804123 .804276 .804428 .804581 .804734 .804886 .805039 9.805191 .805343 .805495 .805647 .805799 .805951 .806103 .806254 .806406 '.806557 9.806709 .806860 .807011 .807163 .807314 .807465 .807615 .807766 .807917 9.808067
2.00 2.00 2.58 2.00 2.00 2.58 2.00 2.68 2.58 2.58 2.58 2.68 2.58 2.58 2.57 2.68 2.68 2.57 2.57 2.57 2.68 2.57 2.57 2.55 2.57 2.57 2.55 2.57 2.55 2.57 2.55 2.55 2.55 2.55 2.55 2.55 2.55 2.55 2.53 2.55 2.53 2.53 2.53 2.53 2.53 2.53 2.53 2.52 2.53 2.52 2.53 2.52 2.52 2.53 2.52 2.52 2.50 2.52 2.52 2.50
.890400 .890298 .890195 .890093 .889990 .889888 .889785 .889682 .889579 .889477 9.889374 .889271 .889168 .889064 .888961 .888858 .888755 .888651 .888548 .888444 9.888341 .888237 .888134 .888030 .887926 .887822 .887718 .887614 .887510 .887406 9.881302 .887198 .887093 .886989 .88(',885 .886780 .886676 .886571 .88f>4fJ6 .886362 9.886257 .886152 .88(',047 .885942 .885837 .885132 .885627 .885522 .885416 .885311 9.885205 .885100 .884994 .884889 .884783
1.72 1.70 1. 72 1.70 1. 72 1.70 1.72 1.72 1. 72 1.70 1. 72 1.72 1. 72 1. 73 1. 72 1. 72 1. 72 1. 13 1. 72 1.73 1. 72 1.73 1. 72 1.73 1. 73 1.73 1. 73 1.73 1. 73 1. 73 1. 73 1. 73 1. 75 1.73 1. 73 1. 75 1.73 1.75 1. 75 1. 73 1.75 1. 75 1. 75 1.75 1.75 1.75 1. 75 1.75 1.77 1.75 1.77 1. 75 1.77 1. 75 1.77 1.77 1.75 1.77 1.77 1. 77
Cosine •
D.l".
--9.798872 .799028 .799184 .799339 .799495 .799651 .799806 .799962 .800117 .800272
.800427 9.800682 .800737 .8(J08g2
.801047 .801201 .801356 .801511 .801665 .801819 .801973 9.802128 .802282 .802436 .802589 .802743
.802897
.803050
.803204
.&~4617
.884572 .884466 .884300 9.884254
-- --- --- --Blne.
D.I/l.
.909660 .909918 .910177 .910435 .910693 .910951 9.911209 .911467 .911725 .911982 .912240 .912498 .912756 .913014 .913271 .913529 9.913787 .914044 .914302 .914560 .914817 .916075 .915332 .915590 .915847 .916104 9.916362 .916619 .9lf>877 .917134 .917391 .917648 .911906 .918163 .91R42O .918677 9.918934 .919191 .919448 .919705 .919962 .920219 .920476 .920733 .920990 .921247 9.921503 .921700 .922017 .922274 .922530 .922787 .923044 .923300 . 923M7 9.923814
4.32 4.30 4.30 4.30 4.30 4.30 4.32 4.30 4.30 4.30 4.30 4.30 4.30 4.28 4.30 4.30 4.30 4.30 4.28 4.30 4.30 4.28 4.30 4.30 4.28 4.30 4.28 4.30 4.28 4.28 4.30 4.28 4.30 4.28 4.28 4.28 4.30 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.27 4.28 4.28 4.28 4.27 4.28 4.28 4.27 4.28 4.28
D.l".1 eotang.
D.I".
.908628 .908886 .909144
.909402
I I
129
l~
Tang.
----- ----- 9.890/i03 9.908369
166
--- ---
Cotang • 10.091631 .091372 .091114 .090856 .090598 .090340 .090082 .089823 .~
.089307 .089049 10.088791 .088533 .088275 .088018 .087700 .087502 .087244 .085986 .085729 .085471 10.085213 .085956 .085698 .085440 .085183 .084925 .084668 .084410 .084153 .083896 10.083638 .083381 .083123 .082866 .082009 .082352 .082094 .081837 .081580 .081323 10.081066 .080809 .080552 .080295 .080038 .079781 .079524 .079267 .079010 .078753 10.078497 .078240 .077983 .077726 .077470 .077213 .076956 .076700 .076443 10.076186
Tang.
. 60
69 68 67 66 56 54 63 62 61
60 49 48 47 46 46 44 43
42
41 40
39 38 87 36 35 34 33 32 31 30 29 28 27
26 26
24
23 22 21
20 19 18 17 16 16 14 13 12 11 10
9 8 7 6
Ii 4 3 2
1
. 0
TANGENTS , AND COTANGEN TS.
40·
D.l". 9.sOsoo7 .808218 .80!368 .81&19
.808669 .~19
11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28
29 30 31 32 33 34 35 36 37 38 39 40
41
42
43 44 45 46 47 48 49 60 51 62 63 54 55 56 67 58 59 60
.80'!969 .800119 .809269 .809419 .809569 9.809718 .8OIl868 .810017 .810167 .810316 .810465 .810614 .810763 .810912 .811061 9.811210 .811358 .811507 .811655 .811804 .811952 .812100 .812248 .812396 .812544 9.812692 .812840 .812988 .813135 .813283 .813430 .813578 .813725 .813872 .814019 9.814166 .814813 .814460 .814607 .814753 .814900 .815046 .815193 .815339 .815485 9.815632 • 811m8 .815924 .816069 .816215 .816361 .816507 .816652 .816798 9.816943
2.62 2.60 2.52 2.60 2.60 2.60 2.60 2.60 2.50 2.60 2.48 2.50 2.48 2.50 2.48 2.48 2.48 2.48 2.48 2.48 2.48 2.47 2.48 2.47 2.48 2.47 2.47 2.47 2.47 2.47 2.47 2.47 2.47 2.45 2.47 2.45 2.47 2.45 2.45 2.45 2.45 2.45 2.45 2.45 2.43 2.45 2.43 2.45 2.43 2.43 2.45 2.43 2.43
2.42 2.43 2.43 2.43 2.42 2.43 2.42
9.884254 9841<18
.884042 .883936 .883829 .883723 .883617 .883510 .883404 .883297 .883191 9.883084 .882977
.8&2871
.882764 .882657 .882550 .882443
.882336 .882229
.882121 9.882014 .881907 .881799 .881692 .881584 .881477 .881369 .881261 .881153 .881046 9.880938 .880830 .880722 .880613 .880605 .880397
.880289 .880180 .880072 .879963 9.879855 .879746 .879637 .879529 .879420 .879311 .879202 .879093 .878984 .878875 9.878766 .878656 .878547 .878438 .878328 .878219 .878109 .877999 .877890 9.877780
1.77 1.77 1.77 1.78 1.77 1.77 1.78 1. 77 1. 78 1. 77 1. 78 1. 78 1.77 1. 78 1.78 1.78 1. 78 1.78 1. 78 1.80 1.78 1.78 1.80 1. 78 1.80 1.78 1.80 1.80 1.80 1.78 1..80 1.80 1.80 1.82 1.80 1.80 1.80 1.82 1.80 1.82 1.80 1.82 1.82 1.80 1.82 1.82 1.82 1.82 1.82 1.82 1.82 1.83 1.82 1.82 1.83 1.82 1.83 1.83 1.82 1.83
9.923814 .924070 .924327 .924583
.924840 .925096 925352 925609 925865 .926122 .926378 9.926634 .926890 .927147 .927403 .927659 .927915 .928171
.928427 .928684 .928940 9.929196 .929452 .9297~
.929964 .930220 .930475 .930731
.930987 .931243 .931499 9.931755 .932010 .932266 .932522 .932778
.933033 .933289 .933545 .933800 .934066 9.934311
.934567 .934822 .935078 .935333
.935589 .935844 .936100 .936355 .936611 9.936866 .937121 .937377 .937632 .937887 .938142 .938398
4.27 4.28 4.27 4.28 4.27 4.27 4.28 4.27 4.28 4.27 4.27 4.27 4.28 4.27 4.27 4.27 4.27 4.27 4.28 4.27 4.27 4.27 4.27 4.27 4.27 4.25 4.27 4.27 4.27 4.27 4.27 4.25 4.27 4.27 4.27 4.25 4.27 4.27 4.25 4.27 4.25 4.27 4.25 4.27 4.25 4.27 4.25 4.27 4.25 4.27 4.25
49 48 47 46 45 44 43
42
41 40
39 38 37 36 35 34 33 32 31 30 29
28 27 26 25 24 23
22 21 20 19 18 17 16 15 14 13 12 11 10
938653
.938908 9.939163
49·
130·
167
TABLE '.-LOfUIUTUII Ie SINES. OOSINES
Sine.
o 1
2
3 4 6 6 7 8 9
10 11 12 13 14 15 16 17 18 19 20 21 22 23
9.816943 .817088 .817233 .817379 .817524 .817668
.817813 .817958 .818103 .818247 .818392 9.818536 .818681 .818825 .818969 .819113 .819257 .819401 .81954.'i .819689 .819832 9.819976 .820120
.820263
24
.820406
25 26 27
.s:m50 .820693
28 29
iIO 31 32
33 34 35 36 37 38 39 40 41
42
43 44 45 46 47
.820836
.820979 .821122 .821265 9.821407 .821550 .821693 .821835 .821977 .822120 .822262 .822404 .822546 .822688 9.822830 .822972 .823114
.823255 .828397 .823539 .823680
48
.823821
49 60 61 62 53
.823963
64 65 66 57 68 69 60
.824104
9.824245 .824386 .824527 .824668 .824808
.824949
.825090 . 8252'JO . 8253il 9.826511
CosIne.
D.l". 2. 42 2.42 2.43 2.42 2. 40 2.42 2.42 2.42 2. 40 2. 42 2.40 2.42 2.40 2. 40 2.40 2. 40 2.40 2. 40 2.40 2. 38 2. 40 2.40 2.38 2.38 2.40 2.38 2. 38 2.38 2. 38 2.38 2. 37 2.38 2.38 2.37 2. 37 2.38 2.37 2.37 2.37 2.37 2.37 2.37 2.37 2. 35 2.37 2. 37 2.35 2.35 2.37 2. 35 2.35 2.35 2.35 2.35 2.33 2.35 2.35 2.33 2.35 2.33
9..877670 877780 .877560
.877460 • 877340 .877230
.877120 .877010 • 876899 .876789 .876678 9.876568 .876457 . 876347 .876236 .876125 .876014 .875904 .875793 . 875682 .876571 9.876459 .875348 .876237 .875126 .876014 .874903 .874791 .874680 .874568 .874456 9.874344 .874232 .874121 .874009 .873896 .873784 .873672 I .873560 .873448 .873335 I 9-.873223 .873110 . 872008 .872885 . 872772 .872659 .872547 .872434 . 872321 .872208 9.872095 .871981 .8718[,8 .871765 871641 .871528 .871414 .871301 .871187 9.871073
I
D.1".
Sine.
D.l". 1.83 1.83 1.83 1. 83 1.83 1.83 1. 83 1. 85 1.83 1.85 1.83 1.85 1. 83 1.85 1. 85 1.85 1. 83 1.85 1. 85 1.85 1.87 1.85 1.85 1.85 1.87 1. 85 1. 87 1. 85 1.87 1. 87 1.87 1.87 1.85 1.87 1.88 1. 87 1.87 1.87 1.87 1.88 1.87 1.88 1. 87 1. 88 1. 88 1.88 1. 87 1.88 1. 88 1.88 1. 88 1. 90 1.88 1.88 1. 90 1. 88 1. 90 1. 88 1.90 1. 90
~-
Tang. 9.939163 .939418 .939673 .939928 .940183 .940439
.940694
• 940949 .941204 .941459 .941713 9.941968
942223 .~78
• 942733
.942988
• 943243
.943498 • 943752
.944007
.944262 9.944517 .944771 .946026 .945281 • 945535 .945790 . 946045 .946299
. 946554
.~ 9.947063
.947318 .947572 .947827 .948081 .948335 .948590 .948844 .949099 .949353 9. 949608 . 949862 .960116 . 950371 .960625 .950879
I
I
.951133 . 951388 .951642 .951896 9.952160 .952405 . 952M9 .952913 .953167 .953421 .953675 .953929 .954183 9.954437
D.1".!'I Co~ta~ng.
D.l". 4.26 4.25 4.26 4.26 4.27 4.25 4.26 4.25 4.26 4.23 4.26 4.26 4.26 4.25 4.25 4.26 4.26 4.23 4.26 4.25 4.25 4.23 4.26 4.25 4.23 4.26 4.25 4.23 4.25 4.23 4.25 4.25 4.23 4.25 4.23 4.23 4.25 4.23 4.25 4.23 4.25 4.23 4.23 4.25 4.23 4.23 4.23 4.25 4.23 4.23 4.23 4.25 4.23 4.23 4.23 4.23 4.23 4.23 4.23 4.23
• 10.060837 .060582 .060327 .060072
.059817 .059561 .069306 .059061 .058796
.068541
.068287
60 69 68 67 66 65 54
63
62 61 60
10.068032 .067777 .067522 .067267 .067012 .066757 .066602
.066248 .055993
.066738 10.066483
.066229
.064974 .064719 .064465
.054210 .053965 .053701
.063446
.063192
10.052937
29
.052682 .052428
28 27 26 26
.062173 .061919 .061665 .061410 .061156 .060901 .060647
24
23 22
21
20
10.050392 .050138 .049884 .049629
.049375 .049121 .048867
.048612
.048358 .048164 10.047860 .047595 .047341 .047087 .046833
.046579 .046326 .046071 .046817
10.046563
D~.-I-"
4S"
168
T.UiQR/IITS, A.ND COTA.NGENTS.
4'"
Blne. o
1 2
3 4 /I
6 7 8 9 19 11 12 13 14 16 16 17 18 19 20 21 22 23 24 2S 26 27 28
29 30 31 32 33 34 35 38 37 38 39
«>
41 42
43 44 45 46 47 48 49 50
9. 82551~ • 82565 825791 • 825931 • 826071 1126211 826351 826491 826631 826770 826910 9 827049
:~~
Comng.
---1. 88 1. 90 1. 90 1. 90 1. 90 1. 90 1. 90 1. 92 1. 90 1. 90 1. 92 1. 90 1.92
9. 954437 .954691 . 954946 .955200 955454 . 955708 955961 956215 956469 956723 956977 9. 957231 • 957485 •
10.045563
1. 92 1. 92 1. 92 1. 92 1. 92
.958500 • 9587 54 • 959008 • 959262 .959516
1. 92 1. 92 1.92 1.93
9.959769 ',960023 960277
~:~ :=~~ t~
:=
2.33 2. 33 2. 33
~:~
2. 33 2.33 2.33 2.32 2. 33 2. 32
827467 : 827606 • 827745 • 827884 828162 .828023 :828301
9.828~ •• 8285828716
2.32' 2.30
9.871073 · 870960 • 87~ • 87f1732 .870618 • 870504 • 870390 • 870276 .870161 • 870047 · 869933
=
9.888670 .~
.8684 4
. 867978
1. 93
• 830234 : 830372 830509 : 830646 830784 : 830921 • 831058 9.831195 • 831332 .831469 .831606
2. 30 2. 30 2. 30 2. 30 2.28 2.30 2. 28 2. 28 2. 30 2. 28 2.28 2. 28 2. 28 2. 28 2.28 2.27
• 867631 9. 867515 • 867399 • 867283 .867167 867051 • 866935 • 866819 • 866703 : 866586 .866470 866353 9. 866237 • 866120 : 866004 •
1. 93 1. 93 1. 9.1 1. 93 1. 93 1 93 1: 93 1. 93 1. 95 1. 93 1.95 1 93 1: 95 1. 93 1.95 1. 95
9. 962306 • 962560 '96306 9628 13 7 • 963320 • 963574 • 963828 • 964081 : 964335 .964588 9.964842 9G5095 . 965349 : 965602 .965855 .966109
• 832015 • 832152
2. 28 2. 27
.865653 • 865536 865419
1. 95 1. 95
: • 967123
1. 97 1. 95
U:;
:= .:
1. 97 1. 97
: 969403 9. 969656 ___
• 829545 • 829683 9. • 82995 830007
82982~
:~m~ g~
=
2.27 2. 27
i~
M
~:~
:= .~~
Il8 69
833377 : 833512 • 833648
2. 2S 2. 27 2. 2S
. 864363 864245 9: 864127
g~
~~
:044800 044546 :044292 044039
4.23 4.23 4.23 4.23 4.22 4.23 4.23 4.23 4.23 4.22
9.832561 • 832697
=
i~ 9::: !:: 9:= ~ • • 864
U~
.967883 . 968136
':7
:041753 .041500 041246 :040992 04f1738
.040484
:0394;g .0392
.=
. 961545
n~ .\l66869
• 043785 • 043531 :043277 .043023 10.042769 042S15 · 1
10. 040231 .039977 039723
.~
2. 30
0"
:= := :~~
61 52
95~
t~ :~47
.=
·• 828855 g~ :.868093 1.~: 92~ ::i' 038 ~131 2.30 .961292
::
137 0
Tang.
D.l".
Cosine. D.l".
4.23 4.22 4.23 4.22 4.23 4.23 4.22 4.23 4.22 4.23 4.22 4.23 4.22 4.22 4.23 4.22 4.23 4.22 4.23 4.22 4.22 4.23 4.22 4.22 4.23 4.22 4.22 4.23 4.22 "
:038455 038201 :037948 10.037694 .037440 .037m
:~
'=2
:035919 .035665 .035412 10.035158
.:= :034398 .034145 .033891
.: :033131 .032877
~
59 58 57 66 65 54 53 52 61 50 49 48 47 46
45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 21l 28 27 26 2S 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10
10.::
:032ll7 .031864 .031611 .031357 .031104 030851 :030597 10.030344
I · .... D.'. __ 1-=~~J:9~8337~~83~~~~=~~~~=1~~~:"~~Co~m~n~g~'~D~'~I_'~ ______~~: lU·
169
43°
o 1 2 3
1
4 6 6 7 8
9 Sine. .833783 • 833919 • 834054 .834189 .834325 • 834460 . 834695 .834730
9
• 834865
10
.834999
11 12 13 14 15 16 17
9. 836269
1~
IG 20 21 22 23 24 25 26 27 28 29 30"
31 32 33
~
36 36
37 38 39 40 41 42 43 44 46 46
47 48
49 50 61 62 63
54 66 66
67
__
~~~~~~~~~~~~;;~~8~I;N;E;8'~;CO;~81~N~E~8~~ -r~~ Tang. 136TABLE
.8361~ .~
• 836538
• 836672 • 836807 .836941 · 836075 • 836209 .836343 .836477 9.836611 .836745 .836878 · 837012 • 837146 · 837279 .• 837412 .837546 .837679 · 837812 9. 837945 · 831!078 .838211 • &8344 • sas..77 • &8610 • 8a8742 .838875 • 839007 .839140 9. 839272 • 839404 • 839536 • 839668 • 839800 • 839932
• 840004 .840196 .840328 .840459 9.840591 • 840722 .840854 .840985 .841116 841247 · 841378 .841509 .841640 9. 841771
D . 1".
2. 27 2. 25 2.25 2.27 2. 25 2. 25 2.25 2. 25 2.23 2.25 2. 25 2.23 2. 25 2. 23 2. 25 2.23 2. 23 2. 23 2.23 2. 23 2.23 2.23 2.22 2. 23 2. 23 2. 22 2.22 2. 23 2.22 2. 22 2. 22 2. 22 2.22 2. 22 2.22 2. 22 2. 20 2.22 2. 20 2. 22 2. 20 2. 20 2. 20 2. 20 2. 20 2. 20 2. 20 2. 20 2.20 2. 18 2. 20 2. 18 2.20 2. 18 2.18 2. 18 2. 18 2. 18 2. 18 2. 18
9.-LOO~BIT
Cosine.
9. 864127 • 864010 .863892 .863774 • 863656 863538 .863419 • 863301
.863183
~
862946
a~
• 862709 . 862590 • 862471 .862363 • 862234 • 862115 .861996 • 861877 .861758 9.861638 .861519 . 861400 . 861280 . 861161 .8tn041 . 860922 .860802 . 860082 • 8605G2 9. 860442 .860322 • 860202 .800082 • 859962 • 859842 .859721 . 859601 . 859480 • 859360 9. 859239 . 859119 . 858998 . 858877 • 858756 . 858635 .858514
.858393 • 858272 .858161 9. 858029 .857908 . 857786 .&'i7665 .857543 . 857422 .857300 .857178 . 85 701i6 9.856934
'
D. 1".
1.95 1.97 1.97 1.97 1.97 1.98 1.97 1.97 1.98 1.97 1.98 1.97 1.98 1.98 1.97 1.98 1.98 1.98 1.98 1.98 2.00 1.98 1.98 2.00 1.98 2.00 1.98 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.02 2.00 2.02 2.00 2.02 2.00 2.02 2.02 2.02 2.02 2.02 2.02 2.02 2.02 2.03 2.02 2.03 2.02 2.03 2.02 2.03 2.03 2.03 2.03
9.969656 96\l909 .970162 .970416 .970669 .970922 .971175 .971429 .971682 .971935 .972188 9.972441 .972695 .972948 .978201 .973464 .973707 .973960 .974213 .974466 .974720 9.974973 .975226 .976479 .975732 .975985 .976238 .976491 .976744 .976997 .977250 9.977503 .977756 .978009 .978262 .978515 .978768 .979021 .979274 .979527 .979780 9.980033
.980286 .980538
.980791 .981044 .981297
.981550 .981803
.982056
.982309
9.982562 .9828I4 .983067
.983320 .983573 .983826 .984079 .984332
D. 1". 4.22 4.22 4.23 4.22 4.22 4.22 4.23 4.22 4.22 4.22 4.22 4.23 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.23 4.22 • 4. 22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.20 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22
39 38
37 36
36 ~
33 32 31 30 29
28 27 26 25 24 23 22 21 20 19
18 17 16 16 14 13 12
11 10 9 8 7 6 6 4 3 2 1
9.= 1830 ______~~~~~~~~~~~~~~Jt~~~i=~O 68
69 60
170
,J
44 0
o 1
i
'
TANGENTS AND COTANGEIfTS.
I
~1~36~.
.._ _ . Cosine. D. 1" ---;:-:,--;--;;;-/--:-_ _ Sine. D.1" 9.841771 - - -l-. - - ' Tang. 1" .841902 2. 18 9.856934' -.. -' Cotang. .842033 2.18 .856812 2.03 9.984837 2. 18 .856568 2.03 .985343 4.22 .014910 59 . 842294 .842424 2.17 .856446 2.03 .985500 4.22 .014657 58 .842555 2. 18 .856323 2.05 .985848 4.20 .014404 57 .842685 2.17 .856201 2.03 .986101 4.22 .014152 56 • 842815 2. 17 .850078 2. 05 . 986354 4. 22 .013899 55 .842946 :1.18 .855956 2.03 .986607 4.22 .013646 54 .843076 2. 17 . 855833 2. 05 • 986860 4. 22 .013393 53 9.843206 2.17 .855711 2.03 .987112 4.20 .01314052 .843336 2.17 . 2.05 .987365 4.22 .012888 51 855588 49 .843466 2.17 9.855465 2.05 9.987618 4.22 .0l2635 50 48 .843595 2. 15 .855342 2. 05 . 987871 4. 22 10. 012382 47 .843725 2.17 .855219 2.05 .988123 4.20 .012129 46 .843855 2. 17 .855000 2. 05 • 988376 4. 22 .011877 45 • 843984 2. 15 • 854973 2.05 . 988629 4. 22 .011624 44 .844114 2.17 .854850 2.05 .988882 4.22 .011371 43 .844243 2. 15 .8.'\4727 2.05 .989134 4.20 .011118 42 .844372 2. 15 .854003 2.07 .989387 4.22 .010866 41 2.17 .854480 2.05 .989640 4.22 .010613 9.844502 40 .844631 2. 15 9.854356 2.07 .989893 4.22 .010360 39 .844/60 2.15 .854233 2.05 9.990145 4.20 .010107 38 .844889 2. 15 .854109 2.07 .990398 4.22 10.009855 37 2. 15 .853986 2.05 .990651 4.22 .009602 .84S018 36 2. 15 .853862 2.07 .990903 4.20 .009349 .845127 35 2. 15 .853738 2.07 .991156 4.22 .009097 .845276 34 .845405 2.15.853614 2.07 .991409 4.22 .008844 33 2.13 .853490 2.07 .991662 4.22 .008591 .845533 32 2.15 .853356 2.07 .991914 4.20 .008338 .845002 31 9.845790 2. 13 .853242 2.07 .992167 4.22 .008086 30 2. 15 9.853118 2.07 .992420 4.22 .007833 .845919 29 2.13 .852994 2.07 9.992672 4.20 .007580 .846047 28 2.13 .852869 2.08 .992925 4.22 10.007328 .846175 27 .846304 2.15 .852745 2.07 .993178 4.22 .007075 26 . 846432 2. 13 .852620 2. 08 .993431 4. 22 .006822 25 . 846560 2. 13 .852496 2. 07 . 993683 4. 20 .0065(\9 24 .846688 2.13 .852371 2.08 .993936 4.22 .006317 23 .846816 2. 13 .852247 2.07 .994189 4.22 .006064 22 .846944 2. 13 .852122 2.08 .994441 4.20 .005811 9.847071 2.12 .851997, 2.08 .994694 4.22 .005559 ~I .847199 2.13 9.851872 2.08 .994947 4.22 .005306 19 .847327 2.13 .851747 2.08 9.995199 4.20 .001!053 18 2.12 .851622 2.08 .995452 4.22 10.004801 .847454 17 .847582 2.13 .851497 2.08 .995705 4.22 .004548 16 .847709 2.12 .851372 2.08 .995957 4.20 .004295 15 .847836 2.12 .851246 2.10 .996210 4.22 .004043 14 .847964 2.13 .851121 2.08 .996463 4.22 .003790 13 .848091 2.12 .8500!)6 2.08 .996715 4.20 .003537 12 .848218 2. 12 .850870 2. 10 • 9969f>8 4.22 .003285 II 9.848345 2.12 .850745 2.08 .997221 4.22 .003032 10 .848472 2.12 9.850619 2.10 .997473 4.20 .002779 9 ,848599 2. 12 .850493 2. 10 9.997726 4.22 .002527 8 .848726 2.12 .850368 2.08 .997979 4.22 10.002274 7 .848852 2.10 .850242 2.10.998231 4.20 .002021 6 8489792.12.8501162.10.9984844.22 .001769 5 .849106 2.12 .849990 2.10 998737 4.22 .001516 4 2.10 .849864 2.10 .998989 4.20 .001263 .849232 3 .840359 2.12 .849738 2.10 .999242 4.22 .001011 2 9.849485 2. 10 .840011 2. 12 .999495 4.22 .000758 1 __ 9.849485 2.10 I .999747 4.20 .OOOIi05 o CosIne n-1" _-__ ,10.000000 4.22 .000253 • • Sine. D. I" • Cotang. D 1 10.000000 .". Tllng • -I
I 'J
I'D.
•5 .""'" ,.., .""'" "" .""" ."
6 7 8 9 10 11 12
~!
15 16 17 18 19 20
21 22 23
24
25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
41 42 43 44
45 46
47 48 49 50 51 52 53 M 55 56 67 58 59 60
II
134
0
171
,.""" 00-
I
.I
'J
TilLS IO.-LOGARITHIlS
or
NUIlBERS. [No. 109 L. 040.
No. 100 L. 000.]
N. 100 1 2 3 4 5 6 7 8 9
o
1
00000o 0434 0868 1301 1734 4321 4751 5181 5609 6038 8000 9026 9451 9876 - - - - - - - - - - - - - 0300 012837 3259 3680 4100 4521 7033 7451 7868 8284 8700 ------------- 021189 1603 2016 2428 2841 5306 571b 6125 6533 6942 9384 9789 - - - - - - - - - - - 0195 0600 1004 033424 3826 4227 4628 5029 7426 7825 8223 8620 9017 04
9
8
6
I
2166 2598 3029 3461 3891 6466 6894 7321 7748 8174 ---------0724 1147 1510 1993 2415 4940 6360 5779 6197 6616 9116 9532 99f7 - - . 1 - - - - - - - 0361 0775 3252 3664 4075 4486 4896 73!iO 7757 8164. 8571 8978 ---------1408 1812 2216 2619 3021 5430 5830 6230 6629 7028 9414 9811 - - - - - (f}JJ7 0002 0998
Dltt. 432 428
424 420 416 412 408 404 400
397
PROPORTIONAL PARTS.
Dill:.
1
2
3
4
5
6
7
8
9
1-- - - - - - - - - - - - - - - - - -
L
434 433 432 431 430 429 428 427 426 425 424 423 422 421 4lll 419 418 417 416 415 414 413 412 411 410 409 408 407 406 405 404 403 402 tOl 400 399 398 397 396 395
43.4 43.3 43.2 43.1 43.0 42.9 42.8 42.7 42. 6 42.5 42.4 42.3 42.2 42. 1 42.0 41.9 41.8 41.7 41.6 41.5 41.4 41.3 41.2 41.1 41.0 40.9 40.8 40.7 40.6 40.5 40.4 40.3 40.2 40. 1 40.0 39.9 39.8 39.7 39.6 39.5
86.8 86.6 86.4 86.2 86.0 85.8 85.6 85.4 85. 2 85.0 84.8 84.6 84.4 84 2 84.0 83.8 83.6 83.4 83.2 83.0 82.8 82. 6 82.4 82.2 82.0 81. 8 81.6 81. 4 81. 2 81.0 so. 8 so. 6 so. 4 so. 2 so. 0 79.8 79.6 79.4 79.2 79.0
130.2 129.9 129.6 129.3 129.0 128.7 128.4 128.1 127. 8 127.5 127.2 126.9 126.6 126.3 126.0 125.7 125.4 125.1 124.8 124.5 124.2 123.9 123.6 123.3 123.0 122.7 122.4 122. 1 121.8 121. 5 121. 2 120.9 120.6 120.3 120.0 119.7 119.4 119.1 118.8 118.5
173.6 173.2 172. 8 172.4 172.0 171. 6 171. 2 170.8 170. 4 170.0 169.6 169.2 168.8 168.4 168.0 167.6 167.2 166.8 166.4 166.0 165.6 165.2 164.8 164.4 164.0 163.6 163.2 162.8 162.4 162.0 161. 6 161. 2 160.8 160.4 160.0 159.6 159.2 158.8 158.4 158.0
217.0 216. 5 216.0 215.5 215.0 214.5 214.0 213.5 213. 0 212.5 212.0 211.5 211.0 210.5 210.0 209.5 209.0 208.5 208.0 207.5 207.0 206.5 206.0 205.5 205.0 204.5 204.0 203.5 203.0 202.5 202.0 201.5 201.0 200.5 200.0 199.5 199.0 198.5 198.0 197.5
172
260.4 259.8 259.2 258.6 258.0 257.4 256.8 256.2 255. 6 255.0 254.4 253.8 253.2 252.6 252.0 251.4 250.8 250.2 249.6 249.0 243.4 247.8 247.2 246.6 246.0 245.4 244.8 244.2 243.6 243.0 242.4 241.8 241.2 240. 6 240. 0 239.4 238.8 238.2 237.6 237.0
303.8 303.1 302.4 301.7 301.0 300.3 299.6 298.9 298. 2 297.5 296.8 296.1 295.4 294.7 294.0 298.3 292.6 291. 9 291. 2 290.5 289.8 289. 1 288.4 287.7 287.0 286.3 285.6 284.9 284.2 283.5 282.8 282.1 281.4 ~. 7 ~. 0 279.3 278.6 277.9 277.2 :n6.b
347.2 390.6 346.4 380.7 345.6 388.8 344.8387.9 344.0 387.0 3jI3.2 386.1 342.4 385.2 341.6384.3 340. 8 383. 4 340.0 382.5 339.2 381.6 338.4 380.7 337.6 379.8 336.8 378. 9 336.0 378. 0 335.2 377.1 334.4 376.2 333.6 375.3 332.8 374.4 332.0 373.5 331. 2 372.6 330.4 371. 7 329.6 870.8 328.8 369.9 328.0 369.0 327.2 368.1 326.4 367.2 325.6 366.3 324.8 365.4 324.0 364..5 323.2 863. 6 322.4 362.7 321.6 861.8 320.8 3!iO.9 320.0 3!iO.o 319.2 359.1 318.4 358.2 317.11 357.3 316.8 356.4 316.0 355.6
No. 110 L. MI.]
1
0
N.
(No. 119 L. 078.
4
8
!
6
6
8
7
9
DUI.
- - --- ---- -----17ifT - -2182 -110- ---2576 2969 3362 3755 4148 4540 4932 393 041393 6106 5714 6495 6885 7275 7664 8063 8442 8830 390 6323 1 9218 0006 9993 - - - - - - - - - - - - - 2 0766 1163 1638 1924 2309 2694 3R6 ----3463 - - 3846 0380 3 063078 4230 4613 4996 6378 5760 6142 6624 383 4 6905 7286 7666 8046 8426 8805 9185 9563 9942 f - 0320 379 --- -1075 - - - - -- 1462 1829 2206 2582 2968 3333 3709 4083 376 6 060698 4458 4832 6 6206 6680 5963 6326 6699 7071 7443 7815 373 8186 7 8557 8928 9298 9668 f--- - - -- - -0038- -0407- -0776- -1145- 1514 370 8 9
071882 5547
-2250 6912
2617 6276
2985
3362
0640
7004
3718 7366
4085 1731
4451 8094
5182 SS19
4816 8457
366 363
PROPORTIONAL PARTS.
• - - - - - - --- - - - - - - - - - - - - - - ---39.5 79.0 118.5 158.0 197.5 316.0 355.5 395 237.0 276.5 Dill. 394 393
m
391 390 889 388
387 386 88& 384 383 382
1
2
39.4 39.3 81.2 39.1
78.8 71,.6 78.4 78.2 78.0 17.8 17.6 17.4 17.2 77.0 76.8 76.6 76.' 76.2 76.0 75.S 76.6 76.4 75.2 76.0 74.S 74.6 74.4 74.2 74.0 73.S 73.6 73.4 73.2 73.0 72.8 72.6 72.4 72.2 72.0 71.8 71.6 71.4 71.2
39.9 38.9 38.8 38.7 38.11 38.5
381
38.' 38.3 38.2 38.1
380
38.6
3711 378 377 376 375 374 373 372 371 370
37.D 37.8 37.7 37.6 37.6 37.4 37.3 37.2 37.1 37.0 36.9 36.S 36.7 36.6 36.5 36.4 36.3 36.2 36.1 36.0
S6t
S68
367 366 366 364 363 362 361 360 3lii 368 357
356
36.t
36.8 36.7 35.6
3
118.2 117.9 117.6 117.3 117.0 116.7 116.4 116.1 115.8 115.5 115.2 114.9 114.6 114.3 114.0 113.7 113.4 113.1 112.8 112.5 112.2 111.9 111.6 111.3 111.0 110.7 110.4 110.1 l09.S 109.5 109.2 lOS. 9 lOS. 6 lOS. 3 lOS. 0 107.7 107.4 107.1
106.8
167.6 157.2 156.8 156.4 156.0 155.6 155.2 154.8 154.4 154.0 153.6 153.2 152.S 152.4 152.0 151.6 161. 2 150.8 150.4 15(>.0 149.6 149.2 148.S 148.4 148.0 147.6 147.2 146.S 146.4 146.0 145.6 145.2 144.S 144.4 144.0 143.6 143.2 142.8 142.4
5
6
197.0 196.5 196.0 195.5 195.0 194.6 194.0 193.6 193.0 192.6
236.4 235.8 235.2 234.6 234.0 233.4 232.8 232.2 231.6 231.0 230.4 229.8 229.2 228.6 228.0 227.4 226.S 226.2 225.6 225.0 224.4 223.8 223.2 222.6 222.0 221.4 22O.S 220.2 219.6 219.0 21S.4 217.8 217.2 216.6 216.0 215.4 214.S 214.2 213.6
192.0 191. 5 191.0 190.5 190.0 189.5 189.0 ISS. 5 188.0 lifT. 5 lifT. 0 186.5 186.0 185.5 185.0 184.5 184.0 183.5 183.0 182.5 182.0 lSI. 5 lSI. 0 ISO. 5 ISO. 0 179.5 179.0 17S.5 17S.0
173
I
7
275.8 275.1 274.4 273.7 273.0 272.3 271. 6 270.9 270.2 269.5 268.8 26S.1 267.4 2('>6.7 266.0 266.3 264.6 263.9 2U3.2 262.5 261.8 261.1 260.4 259.7 259.0 258.3 257.6 256.9 256.2 255.7 254.S 254.1 253.4 252.7 252.0 251.3 250.6 249.9 249.2
8
315.2 314.4 313.6 312.8 312.0 311.2 310.4 309.6 308.8 308.0 307.2 306.4 305.6 304.8 304.0 303.2 302.4 301.6 300.8 300.0 299.2 298.4 297.6 296.S 296.0 295.2 294.4 293.6 292.8 292.0 291.2 290.4 289.6 288.8 288.0 2ff1.2 286.4 285.6 284.8
9
354.6 363.7 352.8 361.9 3&1.0 350.1 349.2 348.3 347.4 346.6 345.6 344.7 343.8 342.9 342.0 341.1 340.2 339.3 338.4 337.6 336.6 335.7 334.8 333.9 333.0 332.1 331.2 330.3 329.4 328.6 327.6 326.7 326.S 324.9 324.0 323.1 322.2 321.3 320.4
No. 120 L. 079.) N. 120 1 2 3 4 5 6 7 8 9 130 1 2 3 4
_41
Ii
0266 3861 7426
0626 4219 7781
0987 4576 8136
1347 4934 8490
8845
2067 5647 9198
0611 4122 7604
0963 4471 7951
1315 4820 8298
1667 5169 8644
2018 5518 !l99O
2370 5866 9335
2721 6215 9681
4487
4828
5169
8565
5510 8903
5851 9241
6191 9579
6531 9916
5278 8595
5611 8926
0
1
2
079181
9513
9904
082785 6360 9905
6716
3503 7071
8
- - -13i44 - -
--093422
0258
6910
3772 7257
100371 3804 7210
0715 4146 7549
110590
0926
1263
3943 7271
427i 7603
4611 7934
---- -
(No. 134 L. 130.
8
7
I9
8
i1707 5291
c--i----2426
9552
300 357 356
3071 6562
352 349
0026 3462 6871
346 343 341
-1599- -1934- -2270- ~ -2940- -3275- 0253 3609
338
1
6004
--
- - ---- -----1059 1403 1747 2091 2434 2777 3119 7888
- - - - -- -
8227
4944 82fiS
5943 9256
6276 9586
6608 9915
--
- - - - - - -- - - - - - - - - -- 120574 3852 7105 13
0903 4178 7429
Dill.
1231 4504 7753
1560 4830 8076
1888 5156 8399
2216 5481 8722
2544 5806 9045
2871 6131 9368
3198 6456 9690
335
6940
333
0245 3525 6781
330 328 325
0012
323
---
PROPORTIONAL PARTS.
DUl.
1
354 353 352 351
35.4 35.3 35.2 35.1 35.0 34.9 34.8 34.7 34.6 34.5 34.4 34.3 34.2 34.1 34.0 33.9 33.8 33.7 33.6 33.5 33.4 33.3 33.2 33.1 33.0 32.9 32.8 32.7 32.6 32.5 32. 4 32.3 32.2
2
3
4
5
6
7
8
9
106.2 105.9 105.6 105.3 105.0 104.7 104.4 104.1 103.8 103.5 103.2 102.9 102.6 102.3 102.0 101. 7 101.4 101.1 100.8 100.5 100.2 99.9 00.6 00.3 00.0 98.7 98.4 98.1 97.8 97.5 97.2 96.9 96.6
141.6 141.2 140.8 140.4 140.0 139.6 139.2 138.8 138.4 138.0 137.6 137.2 136.8 136.4 136.0 135.6 135.2 134.8 134.4 134.0 133.6 133.2 132.8 132.4 132.0 131. 6 131. 2 130.8 130.4 130.0 129.6 129.2 128.8
177. 0 176.5 176.0 175.5 175.0 174.5 174.0 173.5 173.0 172.5 172. 0 171.5 171.0 170.5 170.0 169.5 169.0 168.5 168.0 167.5 167.0 166.5 166.0 165.5 165.0 164.5 164.0 163.5 163.0 162.5 162.0 161.5 161.0
212.4 211.8 211.2 210.6 210.0 209.4 208.8 208.2 207.6 207.0 206.4 205.8 205.2
247.8 247.1 246.4 245.7 245.0 244.3 243.6 242.9 242.2 241.5 240.8 240.1 239.4 238.7 238.0 237.3 236.6 235.9 235.2 234.5 233.8 233.1 232.4 231.7 231.0 230.3 229.6 228.9 228.2 227.5 226.8 226.1 225.4
283.2 282.4 281.6 280.8 280.0 279.2 278.4 277.6 276.8 276.0 275.2 274.4 273.6 272.8 272.0 271.2 270.4 269.6 268.8 268.0 267.2 266.4 265.6 264.8 264.0 263.2 262.4 261.6 260.8 260.0 259.2 258.4 257.6
318.6 317.7 316.8 315.9 315.0 314.1 313.2 312.3 311.4 310.5 309.6 308.7 307.8 306.9 306.0 305.1 304.2 303.3 302.4 301.5 300.6 299.7 298.8 297.9 297.0 296.1 295.2 294.3 293.4 292.5 291.6 290.7 289.8
- - - - - - - - - - - - - - - - - - - --- ---355- - 71.0 106.5 142.0 177.5 248.5 284.0 319.5 35.5 213.0
350 349 348 347 346
345 344 343 342 341 340 3.19
338 337 336
335 334
333 332 331
330 329 328 327 326 325 324 323
322
70.8 70.6 70.4 70.2 70.0 69.8 00.6 69.4 69.2 69.0 68.8 68.6 68.4 68.2 68.0 67.8 67.6 67.4 67.2 67.0 66.8 66.6 66.4 66.2 66.0 65.8 65.6 65.4 65.2 65.0 64.8 64.6 64.4
174
~.6
204.0 203.4 202.8 202.2 201.6 201.0 200.4 199.8 100.2 198.6 198.0 197.4 196.8 196.2 195.6 195.0 194.4 193.8 193.2
TABLE lO.-LOGA.RITHMS OF NUMBERS. [No. 149 L. 175.
No. 135 L. 130.]
N. 135 6 7 8 9 140 1 2 3 4 5 6 7 8 9
o
1
II
• I
8
130334 0655 0077 3539 3858 4177 6721 7037 7354 9879 I-- - - 0194 0508 143015 3327 363S 6128 6438 6748 9219 9527 9835 -----152288 2594 2900 5336 5640 5943 ~ 8664 8965 161368 1667 1967 f353 4650 4947 7317 7613 7908
1619 '11939 4814 5133 7987 8303
0822 3951 7058
1136: 1450 4574 7367 7676 -04491 0756 3510 3815 6549 6852 9567 I 9868 2564' 2863 5541 5838 8497 8792
0142 3205 6246 9266 2266 5244 8203
6
7
8
1/
DiU.
2200
2580
2900
321 318 316
6
1298 4496 7671
42631
5451 8618
5769 8934
6086 9249
3219 6403 9564
1763 4885 7985
2076 5196 8294
2389 5507 8003
2702 5818 8911
314 311 309
1063 4120 7154 0168 3161 6134 9086
1370 4424 7457 0469 3460 6430 9380
1676 4728 7759 0769 3758 6726 9674
1982 5032 8061 1068 4055 7022 9968
307 305 303 301 299 297 295
2019 4932
2311 5222
2003 5512
2895 5802
293 291
----f----- ---------170262 3186
0555 3478
0848 3769
1141 4060
1434 4351
1726 4641
PROPORTIONAL PARTS.
Diff. 321 320 319 318 317 316 316 314 313 312 311 310 309 308 307 306 305 304 303
302 301 300 299 298
297 296
296 294 293 292 291 200 289
288 287 286
1 32.1 32.0 31.9 31.8 31. 7 31.6 31.5 31.4 31.3 31.2 31.1 31.0 30.9 30.8 30.7 30.6 30.5 30.4 30.3 30.2 30.1 30.0 29.9 29.8 29.7 29.6 29.5 29.4 29.3 29.2 29.1 29.0 28.9 28.8 28.7 28.6
2 64.2 64.0 63.8 63.6 63.4 63.2 63.0 62.8 62.6 62.4 62.2 62.0 61.8 61.6 61.4 61.2 61.0 60.8 60.6 60.4 60.2 60.0 SO. 8 59.6 so. 4 69.2 59.0 58.8 58.6 58.4 58.2 58.0 57.8 67.6 57.4 67.2
-
3 96.3 96.0 95.7 95.4 95.1 94.8 94.5 94.2 93.9 93.6 93.3 93.0 92.7 92.4 92.1 91.8 91.5 91.2 00.9 00.6 00.3 00.0 89.7 89.4 89.1 88.8 88.5 88.2 87.9 87.6 87.3 87.0 86.7 86.4 86.1 85.8
4
_5_'_6_
128.4 128.0 127.6 127.2 126.8 126.4 126.0 125.6 125.2 124.8 124.4 124.0 123.6 123.2 122.8 122.4 122.0 121.6 121.2 120.8 120.4 120.0 119.6 119.2 118.8 118.4 118.0 117.6 117.2 116.8 116.4 116.0 115.6 115.2 114.8 114.4
160.5 160.0 159.5 159.0 158.5 158.0 157.5 157.0 156.5 156.0 155.5 155.0 154.5 154.0 153.5 153.0 152.5 152.0 151.5 151.0 150.6 150.0 149.5 149.0 148.5 148.0 147.5 147.0 146.5 146.0 145.5 145.0 144.6 144.0 143.5 143.0
175
192.6 192.0 191.4 190.8 100.2 189.6 189.0 188.4 187.8 187.2 186.6 186.0 185.4 184.8 184.2 183.6 183.0 182.4 181.8 181.2 180.6 180.0 179.4 178.8 178.2 177. 6 177.0 176.4 175.8 175.2 174.6 174.0 173.4 172.8 172.2 171.6
7
8
9
224.7 224.0 223.3 222.6 221.9 221.2 220.5 219.8 219.1 218.4 217.7 217.0 216.3 215.6 214.9 214.2 213.5 212.8 212.1 211.4 210.7 210.0 209.3 208.6 207.9 207.2 206.5 205.8 205.1 204.4 203.7 203.0 202.3 201.6 200.9 200.2
256.8 256.0 255.2 254.4 253.6 252.8 252.0 251.2 256.4 249.6 248.8 248.0 247.2 246.4 245.6 244.8 244.0 ·243.2 242.4 241.6 240.8 240.0 239.2 238.4 237.6 236.8 238.0 235.2 234.4 233.6 232.8 232.0 231.2 230.4 229.6 228.8
288.9 288.0 287.1 286.2 285.3 284.4 283.5 282.6 281.7 280.8 279.9 279.0 271(.1 277. 2 276.3 275.4 274.5 273.6 272.7 271.8 270.9 270.0 269.1 268.2 267.3 286.4 265.6 264.6 263.7 262.8 261.9 261.0 260.1 259.2 258.3 257.4
TABLI: 10.-LOGARITHMS OF NUMBEBS. No. 150 L. 176.] N. 150 1 2 3 4 5 6 7 8 9 160 1 2 3 4 5 6 7 8 9
[No. 169 L. 230.
0
1
170091 8977
6381 9264
8
II 6670 9552
I_li_
4
6959 9839
- - - - - - -- -
S
7
8
» 8689
289
1558 4407 7239
251 285 283
2846 5623
281 279 278 276
7248
7536
7825
8113
8401
0413 3270 610S 8928
0699 3555 6391 9209
0986 3839 6674 9490
1272 4123 6956 9771
1730 4514 7281
2010 4792 7556
2289 5069 7832
2567 5346 8107
0029 2761 5475 8173
0303 3033 5746 8441
0850 3577 6286 8979
3518 6166
3783 6430 9060
0577 3305 6016 8710 I1388 4049 6694 9323
- - - - - - - - - -- -
181844 4691 7521
2129 4975 7803
2415 5259 8084
2700 5542 8366
0126 2985 5825 8647
190332 3125
0612
5900
6176 8932
0892 3681 6453 9206
1171 3959 6729 9481
1451 4237 7005 9755
- - - - -- -- - - - - - - - - -- 8657
3403
- - - - -- - - - - 7365
2488 5204 7904
2454 5109 7747
2720 5373 8010
2986 5638 8273
3252 5902 8536
8798
0370 2976 5568 8144
0631 3236 5826 8400
0892 3496 6084 8657
1153 3755 6342 8913
1414 4015 6600 9170
1670 4391 7096 9783
1943
212188 4844 7484
22010S .2716 5309 7887 23
4663
- -- - - - - - - - - -- - 0051 0319 0586 0853 1121 - - - - - - - - -- -
-00518382
- -- - - - - - - -
2216 4934 7634
201397 4120 6826 9515
DlH.
1675 4274
6858 9426
1926 4533 7115 9682
1124
3848 6556 9247
-1654- -19214314 6957 9585
4579 7221 IlIWl
2196 4792 7372 9938
2456 5051 7630
274 272 271
269 267 266 264
262 261 259
-0193-
258 256
PROPORTIONAL PARTS.
DIH.
1
2
3
4
5
6
7
8
9
113.6 113.2 112.8 112.4 112.0 111.6 111.2 110.8 110.4 110.0 109.6 109.2 lOS. 8 lOS. 4 108.0 107.6 107.2 106.8 106.4 106.0 105.6 105.2 104.8 104.4 104.0 103.6 103.2 102.8 102.4 102.0
142.0 141. 5 141.0 140.5 140.0 139.5 139.0 138.5 138.0 137.5 137.0 136.5 136.0 135.5 135.0 134.5 134.0 133.5 133.0 132.5 132.0 131. 5 131.0 130.5 130.0 129.5 129.0 128.5 128.0 127.5
170.4 169.8 169.2 168.6 168.0 167.4 166.8 166.2 165.6 165.0 164.4 163.8 163.2 162.6 162.0 161.4 160.8 160.2 159.6 159.0 158.4 157.8 157.2 156.6 156.0 155.4 154.8 154.2 153.6 153.0
198.8 198.1 197.4 196.7 196.0 195.3 194.6 193.9 193.2 192.5 191.8 191.1 190.4 189.7 189.0 188.3 187.6 186.9 186.2 185.5 184.8 184.1 183.4 182.7 182.0 181.3 180.6 179.9 179.2 178.5
227.2 226.4 225.6 224.8 224.0 223.2 222.4 221.6 220.8 '220.0 219.2 218.4 217.6 216.8 216.0 215.2 214.4 213.6 212.8 212.0 211.2 210.4 209.6 208.8 208.0 207.2 206.4 205.6 :kl4.8 :a:l4.0
255.11 254.7 253.8 252.9
- - - - - - - - - --- - - - --- - - - - - ---:l85 28.5 57.0 85.5 114.0 142.5 171.0 199.5 228.0 256.5 284 283
282 :lSI 280 279 278 277 276 275 274 273 272 271 270 269 268 267
266 2M 264 263 262 261 260 259
258
257
256 255
28.4 28.3 28.2 28.1 28.0 27.9 27.8 27.7 27.6 27.5 27.4' 27.3 27.2 27.1 27.0 26.9 26.8 26.7 26.6 26.5 26.4 26.3 26.2 26.1 26.0 25.9 25.8 25.7 25.6 25.5
56.8 56.6 56.4 56.2 56.0 55.8 55.6 55.4 55.2 55.0 54.8 54.6 54.4 54.2 54.0 53.8 53.6 53.4 53.2 53.0 52.8 52.6 52.4 52.2 52.0 51.8 51.6 51.4 51. 2 51.0
85.2 84.9 84.6 84.3 84.0 83.7 83.4 83.1 82.8 82.5 82.2 81. 9 81.6 81.3 81.0 80.7 80.4 80.1 79.8 79.5 79.2 78.9 78.6 78.3 78.0 77.7 77.4 77.1 76.8 76.5
176
252.0 251.1 250.2 249.3 248.4 247.5 246.11 245.7 244.8 243.9 243.0 242.1 241.2 240.3 239.4 238.6 237.6 236.7 235.8 234.9 234.0 233.1 232.2 231.3 230.4 229.5
TABLE lO.-LOGAJUTHMS OF NUIIIBBB8. (No. 189 L. 278.
No. 170 L. 230.) N.
1
0
----170 1 2 3 4 5 6 7 8 9 180 1 2 3 4 5 6 7 8 9
230449 2996
5528
8046
I
8
It
II
1
8
0704 32SO 5781 8297
0960 3504 6033 8&18
3286 5700 8219
3534 6006 8464
3757 6285 8799
4011 6537 9049
4264 -4517 6789 7041 9299 9550
4770 7292
3782
4030 6499 8954
4277 6745 9198
4525 6991 9443
4772 7237
1395
1881 4306 6718 9116
2125 4548 6958
9800
5023 7544 ~
-1048 --1297 --1546- -1795- -2044- -2293- 0050 ---2541 240549 0799 3038 6613 7973
0664
-0908
3096
3338
6614 7918
5755 8158
---- 250420 2853 5273 7679
.
6252 8709
1151 3580 5996
2688 5054
7406 9746
2925 5290 7641 9980
8398
623Y 8637
1638 4064 6477 8877
0787 3162 5525 78l'5
1025 3399 5761 8110
1263 3636 5996 8344
2770 5081 7380
3001 5311 7609
3822
-- - - - 0213 --2538 271842 2074 2306 4158 6462
DlH.
5276 7795
252
4389 ~
~53
--
0300. 250 2790 249 6266: 248 7728 246
S019 7482 9932
--
9355
2388 4790 7198 9594
6031 7439 9833
242 241 239
3873 6232 8578
1739 4109 6467 8812
1976 4346 6702 9046
2214 4582 6937 ~79
238 237 235 234
3233 5542 7838
3464 5772 8067
3696
3927 6232 8525
233 232 230 229
9687
- - - - - - - - - - - - 0176 245
-0310 -I0548 --260071 2451 4818 7172 9513
9
" -"- - - - - - - -- - -1215 1470 1724 1979 2234 2488 2742 255
-- --
4850 7151
4620 ~1
-1SOl-
2610
~43
-0446- -0679- -0912- -1144- -1377- -16096002 8296
PROPORTIONAL PARTS.
Dill.
1
2
3
4
5
6
7
8
9
- - - - - - - - - - - --- - - - - - - --- --- - - 255 254 253
252 251
250
249 248 247 246 245 244 243 242 241 240 239 238 'JZ1 236 235 234
233 232 231 230 229
228 227 226
25.5 25.4 25.3 25.2 25.1 25.0 24.9 24.8 24.7 24.6 24.5 24.4 24.3 24.2 24.1 24.0 23.9 23.8 23.7 23.6 23.5 23.4 23.3 23.2 23.1 23.0 22.9 22.8 22.7 22.6
51.0 76.5 SO. 8 76.2 SO. 6 75.9 SO.4 • 75.6 SO. 2 75.3 SO. 0 75.0 49.8 74.7 49.6 74.4 49.4 74.1 49.2 73.8 49.0 73.5 48.8 73.2 48.6 72.9 48.4 72.6 48.2 72.3 48.0 72.0 47.8 71.7 47.6 71.4 47.4 71.1 47.2 70.8 47.0 70.5 70.2 46.8 46.6 69.9 46.4 69.6 46.2 69.3 46.0 69.0 45.8 68.7 45. 6 68.4 45.4 68.1 45.2 67.8
41479-1()--12
102.0 101.6 101.2 100.8 100.4 100.0 99.6 99.2 98.8 98.4 98.0 97.6 97.2 96.8 96.4 96.0 95.6 95.2 94.8 94.4 94.0 93.6 93.2 ~.8 ~.4 ~.O
91. 6 91.2 90.8 90.4
127.5 127.0 126.5 126.0 125.5 125.0 124.5 124.0 123.5 123.0 122.5 122.0 121.5 121.0 120.5 120.0 119.5 119.0 118.5 118.0 117.5 117.0 116.5 116.0 115.5 115.0 114.5 114.0 113.5 113.0
177
153.0 152.4 151.8 151.2 ISO. 6 ISO. 0 149.4 148.8 148.2 147.6 147.0 146.4 145.8 145.2 144.6 144.0 143.4 142.8 142.2 141.6 141.0 140.4 139.8 139.2 138.6 138.0 137.4 136.8 136.2 135.6
178.5 177.8 177.1 176.4 175.7 175.0 174.3 173.6 172.9 172.2 171.5 170.8 170.1 169.4 168.7 168. 0 167.3 166.6 165.9 165.2 164.5 163.8 163.1 162.4 161. 7 161.0 160.3 lSG.6 158.9 158.2
204.0 203.2 202.4 201.6 2XlD.8 2XlD.O 199.2 198.4 197.6 196.8 196. 0 195. 2 194.4 193.6 1~.8 1~.0
191.2 190.4 189.6 188.8 188.0 187.2 186.4 185.6 184.8 184.0 183.2 182.4 181.6 180.8
229.5 228.6 227.7 226.8 225.9 225.0 224.1 223.2 222.3 221.4 220.5 219.6 218.7 217.8 216.9 216.0 215.1 214.2 213.3 212.4 211.5 210.6 209.7 208.8 207.9 207.0 206.1 205.2 204.3 203.4
No. 190 L. 278.] N.
0
[No. 214 L. 332.
1
8
2
"
I)
1942 4205 6456
2169 4431 (;681
8
8
'1
DI1f.
II
- - - - - - - - - - - -- - - - ' - - - - - - - - 9211 9439 9667 9895 - - - 1110 278754 8982 ---- - - - - - - - - - - - - - 0123 0351 0578 0806 228 1 II
3 4 6
6 7 8
9
:lOll 12 3 4
281033 3301 5557 7802
1201 3527 5782
290035
1715 3979 6232 8473
0257 2478 4887 6884 9011
0480 2699 4907 7104 9289
0702 2920 5127 7323
1247 3412 5566 7710 9843
1464 3628 5781 7924
1966 4078 6180 8272
2396
227 226
9366
2849 3076 5107 5332 7354 75;8 9589 - 9812
1369 3584 5787 7979
1591 3804 6007 8198
1813 4025 6226 8416
2034
222
4246 6446 8635
221 220 219
0161 2331 4491
0378
~3
4706 0854 8991
0595 2764 4921 7068 9204
2980 5136 7282 9417
218 217 216 215 213
1118 3234 5340 7436 9522
1330 3445 5551 7646 9730
1542 3656 5760 785~
212 211 210 209
99.'!8
208
1598 _ 1805 3665 3871 5721 5920 7767 7972
2012 4077 6131 8176
205 204
4656 6905 9143
8696
8920
0925
9507
3141 5347 7542 9725
1147 3363 5567 nOl 9943
1681 3844 5996 8137
1898 4059 6211 8.'!51
2114 4275 6425 8564
8778
2177 4289 63IlO
2389 4499 6599
2600 4710
281 4920
3023 5130
7018
7m
8~1
8689
9106
9314
0354
0562
2426
2633 4694 6745 1!187
0977 3046 6106 7155
8386
4488 6541 8583
0769 2839 4899 6950 899l
919~
1184 3252 5310 7359 9398
1391 3458 5516 756.1 0001
330414
0617
OS19
1022
1225
1427
! 1630
2022 4882 7130
- - - --- - - - --- - - - - - - - - - - - 2256
4466 6665 8853
--301030 3196 5351 7496 9630
6 6 7 8
311754 3867 5970
9 210 1 2 3
320146 2219 4282 -6336
4
8026
1488 3763 6007 8249
--
8063
-I-
---- - - -
-0056 --0268 - -04816809 8898
-- ---- --
lr 6(l39
2547
--- - - ---
980.'!
- - - - --- - -- - --,_.- - 1832
207
206
- - --0211 2236
0008 2034
225 223
209
202
PROPORTIONAl, PARTS.
DIll.
1
2
22.5 22.4 22.3 22.2 22.1 22.0 21.9 21.8 21.7 21.6 21.5 21.4 21.3 21.2 21.1 21.0 20.9 20.8 20.7 20.6 20.6 20.4 20.3 20.2
45.0 44.8 44.6 44.4 44.2
3
- - --- --- --225 224 223
222 221
220 219 218 217 216 215
214 213 212 211 210
209 208 207
206 205 204
203
202
44.0 43.R 43.6 43.4 43.2 43.0 42.8 42.6 42.4 42.2 42.0 41.8 41.6 41. 4 41.2 41.0 40.8 40.6 40.4
07.5 67.2 66.9 66.6 (>6.3 66.0 65.7 65.4 65.1 64.8 64.5 64.2 63.9 63.6 63.3 63.0 62.7 62.4 62.1 61.8 61.5 61.2 60.9 60.6
--- - - - - - - - - - - - - - - 4 .
5
6
7
8
9
90.0 89.6 89.2 88.8 88.4 88.0 87.6 87.2 86.8 86.4 86.0 85.6 85.2 84.8 84.4 84.0 83.6 83.2 82.8 82.4 82.0 81.6 81.2 80.8
112.5 112.0 111.5 111.0 110.5 110.0 109.5 109.0 lOS. 5 lOS. 0 107.5 107.0 106.5 106.0 105.5 105.0 104.5 104.0 103.5 103.0 102.5 102.0 101.5 101.0
135.0 134.4 133.8 133.2 132.6 132.0 131.4 130.8 130.2 129.6 129.0 128.4 12'1.8 127.2 126.6 126.0 125.4 124.8 124.2 123.6 123.0 122:4 121.8 121.2
157.5 156.8 156.1 155.4 154.7 154.0 153.3 152.6 151.9 151. 2 150.5 149.8 149.1 148. 4 147.7 147.0 146.3 145.6 144.9 144.2 143.5 142.8 142.1 141.4
180.0 179.2 178.4 177. 6 176.8 176.0 175.2 174.4 173:6 172:8 172.0 171. 2 170.4 169.6 HiS. 8 168: 0 167.2 166.4 165.6 164.8 164.0 163.2 Hill. 4 161.6
202.6 201.6 200.7 199.8 198.9 198. 0 197.1 196.2 195.3 194.' 193.6 192.6
178
1~.7
1 .8 189.9 18\l.0 188.1 187.2 186.3 185.' 184.5 183.6 182.7 181.8
[No. 239 L. 380.
No. 215 L. 332.]
N.
0
J
2
8
4,
6
8
4655
48li6 6860 8855
3044 5057 7060 9054
3246 5257 7260 9253
5458 7459 9451
5658 7659 9650
7
8
II
6059 8058
&280 8257
Dltr.
--- - - - - - -- -- -- ---- -- --215 - -332438 3447 3649 2640 2842 4051 202 6 7 8 9
220 1 2 3 4 5 6 7 8 9
230 1 2 3 4 5 6 7 8 9
4454 6460 8456
6660
3850 5859 7858 9849
4253
201
--- - - - - - - - - - - - - - - -0047--0246340444 2423 4392 6353 8305
8656
0642
0841
1039
2620 4589 6549
3014 4981 6989
8500
2817 4785 6744 8694
2375 4301 6217 8125
2568 4493 6408 8316
8506
0025 1917 3800 5675 7542 9401
0215 2105 3988 5862 7729 9587
0404 2294 4176 6049 7915 9772
4363 6236 8101 9958
8287
3280 5115 6942 8761
3464 5298 7124 8943
3647 5481 7306 9124
3831 5664 7488
1237 3212 5178 7135 9083
1435
1632
1830
3409
3606
3802
5374 7330 9278
5570 7525 9472
5766 7720
3147
3339
3532
2028 3999
'196 6157 8110
3916 .5834 7744 9646
194 193 193 192 191 190
3424 5301 7169 9030
189 188 188 187 186
2225
5962 7915 9860
0054 - - - -- - - - - - - -- - - - ---350248 0442 0636 0829 1023 1216 1410 1603 1796 1989 2183 4108 6026 7935 9835 361728 3612 5488 7356 9216
--371068 2912 4748
6577 8398
8889
2761 4685 6599
2954 4876 6790 8696
5068 6981
8886
- -- -- - - -
1253
3096
0593
2482
1
0783 2671 4551 6423
5260 7172 9076
5452 7363 9266
3724 5643 7554 9456
2859
3048
3236
4739 6610 8473
4926 6796 8659
6113 6983 8845
0513
0698 2544 4382 6212 8034 9849
-0972- -1161--1350- -1539-
- -0328-1437 - -1622 - -1806- -0143 1991 2175
4932 6759
8580
9306
9666
4015 6846 7670 9487
- -- - 2360 4198
6029 7852
9666
38
200
199 198 197 196 195
0883 2728 4565 6394 8216
-0030-
185 184 184 183 182 181
PROPORTIONAL PARTS.
Ditf.
1
2
20.1 20.0 19.9 19.8 19.7 19.6 19.5 19.4 19.3 19.2 19.1 19.0 18. 9 18.8 18. 7 18.6 18.5 18.4 18.3 18.2 18.1 18.0 17.9
40.2 40.0 39.8 39.6 39.4 39.2 39.0 38.8 38.6 38.4 38.2 38.0 37.8 37.6 37.4 87.2 37.0 36.8 36.6 36.4 36.2 36.0 35.8
3
4
6
7
8
9
141.4 140.7 140.0 139.3 138. 6 137.9 137.2 136.5 135.8 135.1 134.4 133.7 133.0 132.3 131. 6 130.9 130.2 129.5 128.8 128.1 127.4 126.7 126.0 125.3
161.6 160.8 160.0 159.2 158.4 157.6 156.8 156.0 155.2 154.4 103.6 152.8 152.0 151.2 150.4 149.6 148.8 148.0 147.2 1«1.4 145.6 144.8 144.0 143.2
181.8 ISO. 9 180.0 179.1 178.2 177.3 176.4 175.5 174.6 113.7 172.8 171.9 171.0 110.1 1&9.2 168.3 167.4 1M.5 165. 6 164.7 163.8 162.9 162.0 161.1
- --- - - - - - - - - - - - - --- --- --- - -101.(1 20.2 40.4 60.6 121.2 20'~
201 200 199 198 197 196 11M 194 193 192 191 190 189 188 187 186 185 184 183 182 181
ISO 179
60.3 60.0 00.7 59.4 59.1 68.8 68.5 58.2 67.9 67.6 57.3 57.0 56.7 56.4
M.l 55.8 55.5 55.2 54.9 54.6 54.3 54.0 53.7
5
SO. 8 SO. 4 SO.O·
100.6 100.0 79.6 99.5 79.2 99.0 78.8 98.5 98.0 78.4 97.5 78. 0 97.0 77.6 77.2 96.5 7&.8 ' 96.0 7&.4 95.5 76.0 95.0 7S.6 94.5 75.2 94.0 74.8 lIS. 6 93,0 74.4 74.0 117.5 73.6 92.0 73.2 91. 5 72.8 91.0 72.4 90.5 72.0 90.0 71.6 89.5
179
120.6 120.0 119.4 118.8 118.2 117.6 117.0 116.4 116.8 11.'1.2 114.6 114.0 113.4 112.8 112.2 111.6 111.0 no. 4 109.8 109.2 108.6
loe.O 107.4
TABLE lO.-IA)CURITBIlS OF NUIIBKBS. No. 240 L. 3!ll.J N.
0
(No. 269 L. 43l. 1
I
240 1 2 3 4 5
6 7 8 9 250 1 2 3 4 5 6 7 8 9 260 1 2 3 4
5 6 7 8 9
380211 2017 3815 5606 7390 9166
0392 2197 3995 5785 7568 9343
• -- ---- -- -- --0934 f
II
- - --- - - - - - 0573 2377 4174
07M 2557
5964
6142 7924 9698
2737 4533 6321 8101 9875
1115 2917 4712 6499 8279
1296 3097 4891 6677 8456
4802 6548 8287
1464 3224 4977 6722 8461
0051 1641 1817 3400 1 3575 5152 ' 5326 6896 8634
0228 1993 3751 5501 7245 8981
0020 1745 3464 5176 6881 8579
0192 1917 3635 5346 7051 8749
0365 i 0538 2089 I 2261 3807 1 3978 5517 7221 8918 9087 1
I~
0711 2433 4149 5Il58
0271 1956 3635 5307 6973 8633
0440 2124 3803 M74 7139 8798
0609 ; 0777 2293 2461 3970 : 4137 5641 5808 7306 7472 8964 ,9129
0946
4353
7746 9520
--- - -I - - - - 390935 2697 4452 6199 7940 9674
1112 2873 4627 6374 8114 9847
401401 3121 4834 6MO 8240 9933
1573 3292 5005 6710 8410
1288
3048
---- -
411620
3300 4973 6641 8301 9956
--421604 3246 4882 6511 8135 9752 43
6
7
S
1476 3717 5070
1656 3456 5249 7034 8811
6856 8634
DI1!.
II
1837
181
3636
ISO
M28 7212 8989
179 178 178
0159 2521 4277 6025 7766 9501
177 176 176 175 174 173
1228 2949
173 172 171 171 170 169
----------
1=
0102 1788 3467 5140 6807 8467
I
0121 1768 3410 5045 6674 8297 9914
0616 i 0781 2261 i 2426 4065 3901 5534 5697 7161 7324 8783 8944 ------ -0075 0236 0398 0559
7561 9257
2629 4305 5974 7638 9295
0406 2169
0582
5676 7419 91M
2345 4101 5850 7592 9328
0883 2605 4320 6029 7731 9426
1056 2777 4492 6199 7901 9595
1114 2796 4472 6141 7804 9460
1283 2964 4639
1451 3132
6308 7970 9625
6474 8135 9791
169 168 167 167 166 165
1275 2918 4555 6186 7811 9429
1439 3082 4718 6349 7973 9591
165 164 164 163 162 162
3926
-
4663 6370 8070 9764
4806
- -- -- ----------- -0451 2097 3737 5371 6999 8621
0286 1933 3574 5208 6836 8459
0945 2590 4228 5860 7486 9106
1110 27M 4392 6023 7&'8
9268
-0720- -0881- -1042- -1203-
161
PROPORTIONAL PARTS.
Ditr.
1
2
3
4
5
6
7
8
9
- - - - - - - - --- - - - - - - - - - - - - - - - - 178 177 176 175 174 173 172 171 170 169 168 167 166 165 164 163 162 161
17.8 17.7 17.6 17.5 17.4 17.3 17.2 17.1 17.0 16.9 16.8 16.7 16.6 16.5 16.4 16.3 16.2 16.1
35.6 35.4 35.2 35.0 34.8 34.6 34.4 34.2 34.0 33.8 33.6 33.4 33.2 33.0 32.8 32.6 32.4 32.2
53.4 53.1 52.8 52.5 52.2 51.9 51.6 51.3 51.0 50.7 50.4 50.1 49.8 49.5 49.2 48.9 48.5 48.3
71.2 70.8 70.4 7Q.0 69.6 69.2 68.8 68.4 68.0 67.6 67.2 66.8 66.4 66.0 65.6 65.2 64.8 64.4
ISO
89.0 88.5 88.0 87.5 87.0 86.5 86.0 85.5 85.0 84.5 84.0 83.5 83.0 82.5 82.0 81. 5 81.0 BO.5
106.8 106.2 105.6 105.0 104.4 103.8 103.2 102.6 102.0 101.4 100.8 100.2 99.6 99.0 98.4 97.8 97.2 96.6
124.6 123.9 123.2 122.5 121.8 121.1 120.4 119.7 119.0 118.3 117.6 116.9 116.2 115.5 114.8 114.1 113.4 112.7
142.4 141.6 140.8 140.0 139.2 138.4 137.6 136.8 136.0 135.2 134.4 133.6 132.8 132.0 131.2 130.4 129.6 128.8
160.2 159.3 158.4 157.5 156.6 155. 7 1M.8 153.9 153.0 152.1 151. 2 150.3 149.4 148.5 147.6 146.7 145.8 144.9
'fA.BLE to.-LOGA.RITHMS OF NUMBERS. No. 270 L. 431.]
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t
0
N.
[No. 299 L. 476.
3
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----- - -- - - - -270 1 2 3 4 6 6 7 8 9
431364 2969 4569 6163 7751 9333
1525 3130
1685
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6322 7909 9491
1846
3200
3450
4888 6481 8067
5048
6640 8226 9806
9648
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67M 7313 8861
2 450249 3 1786 3318 4 5 4845 6366 6' 7 1 7882 9392 8
0403 1940 3471 4997 6518 8033 9543
.0557 2093 3624 6150 6670 8184 9694
lTlll 2247 3777 5302 6821 8336 9845
460898
1048 2548 4042 5532 7(116
1198
1348 2847 4340 5829 7312 8700
1
9 290 1 2 3 4 5· 6 7 8 9
2480 4045 6604 7158 8706
1066 2637
3930 5526 7116 8701
1538 1695 3106 3263 4669 ' 4825 6226 7778 9324 9478
1852 3419
~
9964
~201
1381
2950 4513 6l1l1 7623 9170
8
3770 5367 6957 8542
- - - - - - -- - - 1224 2793 4357 5915 7468 9015
280
2007 3610 5207 6799
,;
8
7
4090
4409
4249
5685 7275 8859
5~4
6004
7433 9017
7592 9175
2009
2166 3732 5293 6848 8397 9941
3889 5449 7003 8552
2400 3930 5454 6973 ~87
9995
- - - - - - -- - - 2398 3893 5383
6868 8347
~95
9822
9969
---- 471292 2756 4216 5671
2697 ~191
5680 7164 8643
--
1438 2903 4362 5816
0116 1585 3049 4508 5962
1499
2997 4400 5977 7460 8938
2323
1=
8088 9633
3576 5137 6692 8242 9787
1018 2553 4082 5606 7125 8638
1172 2706 4235 5758 7276 8789
1326 1479 2859 3012 4387 4540 5910 .6062 7428 7579 8940 9091
1633 3165
0146 1649 3146 4639 6126 7608
0296
lTl48· 2248 3744 5234 6719
0085
9233
0447 1948 3445 4936 6423 7904 9380
~981
6537
--
3296 4788 6274 7756
1878 3341 4799 6252
2025 3487 4944 6397
2171 3H33 5000 6542
2318 3779 5235 6687
158 157 157 156 155 155
154 154 153· 4692 153 6214 152 7731 152 9242. 151
---------1799
168
0095
0697 2098 3594 5085 6571 8062 9527
8200
-0263 - -O4lO- -0557- -lTlO4- -0851- ._0998 1732 3195 4653 6107
160 159 159
-0122- -0279--0437--0694--lTl52-
- - - - -- - - - - - - - - - - - - 0865
Dill.
9
-2167- -2328- -2488- -2649- -2809- -161-
9675
151 150
150 149 149 148 148
-~
2464 3925 5381
6832
1145 2610 4071 5526 6976
147 146 146 146 145
PROPORTIONAL PARTS.
Dill.
1
2
3
16.1 16.0 15.9 15.8 15.7 15.6 15.5 15.4 15.3 15.2 15.1 15.0 14.9 14.8 14.7 14.6 14.5 14.4 14 3 14.2 14.1 14.0
32.2 32.0 31.8 31.6 31.4 31.2 31.0 30.8 30.6 30.4 30.2 30.0 29.8 29.6 29.4 29.2 29.0 28.8 28.6 28.4 28.2 28.0
48.3 48.0 ~7. 7 47.4 47.1 46.8 46.5 46.2
5
4
6
- - --- --- --- --- --- - 161 160 159 158 157 156 155 154 153 152 151 150 149 148 147 146 145
IH 142 142 141 140
~5.9
45.6 45.3 45.0 44.7 44.4 44.1 43.8 43.5 43.2 42.9 42.6 42.3 42.0
64.4 64.0 63.6 63.2 62.8 62.4 62.0 61.6 61.2 60.8 60.4 60.0 59.6 59.2 58.8 58.4 58.0 57.6 57.2 56.8 M.4 56.0
181
SO. 5 so. 0 79.5 79.0 78.5 78.0 77.5 77.0 76.5 76.0 75.5 75.0 74.5 74.0 73.5 73.0 12.6 72.0 71.5 71.0 70.5 70.0
96.6 96.0 95.4 94.8 94.2 93.6 93.0 92.4 91.8 91.2 00.6 00.0 89.4 88.8 88.2 87.6 87.0 86.4 85.8 85.2 84.6 ~.O
7 112.7 1l2.0 111.3 110.6 109·9 109.2 108.5 lO7.8 107.1 106.4 106.7 106.0 104.3 103.6 102.9 102.2 101.5 100.8 100.1 99.4 98.7 98.0
8
9
128.8 128.0 127.2 126.4 125.6 124.8 124.0 123.2
144.9 144.0 142.1 142.2 141.3
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121.6 120.8 120.0 119.2 118.4 117.6 116.8 1l6.0 115.2 114.4 113.6 1l2.8 112.0
140.~
139.5 138.6 137.7 136.8 135.9 135.0 134.1 133.2 132.3 131.4 130.5 129.6 128.7 127:8 126. 9 126.0
No. 300 L. 477.]
[No. 339 L. 631.
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0869 2302 3730 6163 6572 7986 9396
1012 2445 3872 5295 6714 8127 9637
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0661 2062 3458
0801 2201 3597 4989 6376 7759 9137
0941 2341' 3737 5128 6515 7897 9275
1081 2481 3876 5267 6653 8035 9412
0374 1744 3109 4471 5828 7181
0511 1880 3246
0648 2017 3382 4743
0785
8630
8664
0099
1333 2700
4063
1470 2837 4199
6150 6505 7856
6286 6640 7991 9337
04:.11 6776 8126 9471
5557 6911 8260 9606
9828
0679 2017 3351 4681
6006 7328 8646 9959
--- - -
4850 6238 7621 8999
0236 1607 2973 4335 5693 7046 8395 9740
9874
0813 2151 3484 4813 6129 7460
0947 2284 3617 4946 6271 7592
8777
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1081 2418 3750 5079 6403 7724 9040
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0353 1661
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3096 4396 5693 6985 8274
1216 2551
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4607 5964 7316
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Ii437 6855
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6099 7451 8799
1299 2731 4157 5579 6997 8410 9818
144 143 143 142 142 141 141
1222 2621 4015
140 140 139 139 139 138 138
9550
0922 2291 3655 5014 6370 77:.11
9068
0277 1616 2951 4282
1349 2684 4016 5344 6668 7987 9303
Ii609
0745 2053 3356 4656 6951 7243 8531 9815
0876 2183 3486 4785 6081 7372 8660 9943
1096
7630 8917
4136 0434 6727 8016 9302
5563 6856 8145 9430
9559
0616 1922 3226 4526 5822 7114 8402 9687
530200
0328
0456
0584
0712
0840
0968
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2
- - - - - - -- - - - - - - -
137 137 136 136 136 135 135
0411 134 1750 134 3084 133 4415 .133 5741 133 7064 132 8382 132 9697 131
6932 8251 9566
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8422 9863
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3518 4878 6234 7586 8934
0143 1482 2818 4149 5476 6800 8119 9434
1400 2705 4006 5304 6598 7888 9174
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1269 2576 3876 6174 6469 7759 9046
521138 2444 3746 5045
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tl96 '2564 3927
510045 1883 3218 4548 5874 7196 8514
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501059 2427 3791
9203
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6
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1007 2314 3616 4915 6210 7501 8788
131 131 130 130 1211 129 129
0072 1351
128
--
1223
128
PROPORTIONAL PARTS.
D.Uf, .
3
5
4
G
7
- - - --- --- --- - - - - - -139- --27.8 41.7 13.9 69.5 83.4 97.3 65.6 138 137
1.86 135
1M.' 133
132
131 180
129
128 l2.7
13.8 13.7 13.6 13.6 13.4 13.3 13.2 13.1 13.0 12.9 12.8 12.7
27.6 27.4 27.:.1 27.0 26.8 26.6 26.4 26.2 26.0 25.8 25.6 25.4
41.4 41.1 40.8 40.6 40.2 39.9 39.6 39.3 39.0 38.7 38.4 88.1
55.2 54.8
54.4
04.0 53.6 53.2 52.8 62.4 52.0 61.6 61. 2 60.8
18.2
69.0 08.5 68.0 67.6 67.0 66.5 66.0 65.5 65.0 64.6 64.0 63.6
82.8 82.2 81.6 81.0 80.4 79.8 79.2 78.6 78.0 77.4 76.8 76.2
96.6 95.9 95.2 94.6 93.8 93.1 92.4 91. 7 91.0 90.3 89.6 88.9
8 111.2 110.4 109.6 108.8 108.0 107.2 106.4 10,';.6 104.8 104.0 103.2 102.4 101.6
9
125.1 124.2 123.3 122.4 121.6 120.6 119.7 118.8 117.9 117.0 116.1 115.2 114.3
No. 340L. 531.) N.
0
1
adO
631479 2754 4026
1607
5294 7819 9076
~ ~
540329 1579
0455 1704
2825 4068 5307
2950
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350
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2668 3883 5094
360
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4153
4280
1862 3136 4407 51174 6937 8197 94.52
5547 6811
8171 9327
2U7 3391 4661 5927 7189 8448 9703
2245 3518 4787 6053 73]..'; 8574 9829
0955 2203 3447 4688 5925 7159
lOBO 2327 3571 4812 6049 7282 8512 9739
1990 3254 4534
58iJo
7063
8322
4192 5431
ti666
-mg
0580
0705 1953 3199 4440 5678 6913 8144 9371
9578
1829 3074 4316 5555 6789
8J21 9249
0830 2078
3323 4554
5S02 7036 82679494
8389 9616
2372 3545 4914 6180 7441
2500 3772
2627
3899
roll
~67
6306
6432 7693 8951
7567 8825
8699
-- - - - -
6303
7507 8709 9907
---
5 6 7 8 9 370 1 2
56110l
2293
3481 4666 5848 7026
8202
9374
7 8
570543 1709 2872 4091 5188 6341 7492
9
8639
8 4
5 6
0351 1572 2790 4004 5215 5423 7627
8829
0473 1694 2911 4126
5336
0595 1816 3033 4247 5457
1205 2452 3696 4936 6172 7405 8635 9861
6544 7748 8948
7868 9068
--,-()()26 1221 2412 3000 4784
5966
1144 8319 9491
0660 1825 2988 4147
5303 5457 1007 8754
0146 1340 2531 3718 4903 6084 7262 8436 9608
0776 1942 3104 4263 5419 6572 7722
6ti64
0717 1938 3155 4368 5578 6785 7988 9188
084Q 2060 3276 4489
2181 3398 4610
5699
5820
6905 810S 9308
7026 8228 9428
0385 1578 2769 3955 5139 6320 7497 8671 9842
0504 1698
0624 1817 3006 4192 5376 6555 7732 8905
0743 1936 3125 43U 5494 6673 7849
0962
128 127 127 126 126 126
9954
0204
0079 1330 2576
3820 5060 6296 7529 8758
9984
---- -- -- - - - - - -- - - --
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,
8 9 8 7 -- -- -- -. 2- -8- - - -Ii- --
---- -- -- - - - - - - -
8 9 1 2 3 4
[No. 379 L. 579.
1084
2303 3519 4731 5940 7146 8349 9548
123 123
0106 1328 2547 3762 4973 6182
123 122 122 121 121 121
7387
l~
--
1206 2425 3540 4852 6061 7267 84Ii9 9667
125 125 125 124 124 124
1454 2701 3944 5183 5419 7652 8881
8S89
-- - - - - - - - - -0863- -0982- 1,20 0265 1459 2650 3837 5021 6202 7379
8554 9725
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8868
1010 2174 3336 4494
5650 5S02 7951 9097
2887 4074 5257 5437 7614 8788 9959 1126 2291 3452 4610 5765 6917
8066 9212
9787
5612
21.74 3362 4548 5730
6791 7967
8)84
119 119 lI9 119 lI8 118 118
9023
9140
9257
117
0076 1243 2407 3568 4726
0193 1359 2523 3684 4841
0309
58BO 1'032 8181 9326
5996
0426 1592 2755 3915 5072 6226 7377
117 117 116 116 lI6 115 115 115 U4
2055 3244 4429
6909
---- ----
7147
8295 11441
1476 2639
3800 4951 6111 7262 8&10 9565
8525 9669
PROPORTIONAL PARTS.
Dill.
1
2
- - --- --12.8 25.6 128 127 12.7 25.4 126
J.2lj.
124
{23
122
m
l1a
12.6 12.5 12.4 12.3 12.2 12.1 12.0
11.11
25.2 25.0 2f.8 24.6 24.. 4 24. 2 24.0 23.8
3
4
38.1 37.8 37.,'i 37.2 36.9 36.6 36.3 ;l6.0 35.7
50.8 50.4 00.0 49.6 49.2 48.8 f8.4
5
6
7
76.2 75.6 75. 0 74.4 73.8 73.41 72.·6 72.0 71.4
88.9 88.2 87.5 86.8
8
9
IOU;
114.3 113.4 112.5
- - --- -_. --- --- ----51. 2 89.6 102.4 115.2 38.4 54.0 76.8
48,0 47.6
63.5 63.0 62.,'i 62.0 61.5 61.0 oOO.,'i 60.0 69.5
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84.7 84.0
83.3
100.8
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98.4
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[No. 414 L. 617.
-•- - - - - - - - - - --- - -- -- --9898 -- - -I - - - - 380 579784 - - - - - 0012 0126 ~ 03M 001II 0583 0697 (lI11 114 N.
1 2 3 4 5 6 7 8 9
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591065 2177 3286 4393 5496 6597 7695 8791 9883
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600973
400
2060
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3144 4226 5305 6381 7455
8526 9594
8 I 610660 9 1723 410 2784 1 3842 2 4897 3 5950 : 4 7000
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1039 2177 3312 4444 5574 6700 7823 8944
1153 2291 3426 4557 5686 6812 7935
1267 2404 3539 4670 5799 6925 8047 9167
0061 1176
0173 1287 2399
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1381 2518
1495 2631 3765 4896
3652 4783 5912 7037 8160 9279
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1722 1836 2868 2972 3992 '41OS 5122 6235 6250 6362 7374 7486 8496 8608 9615 9726
1950 3085 4218 5348 6475 75911 8720
113
flI42 1955 3064 4171 5776 6377 7476 8572
0953 2066
8
7
1608 2745 3879 5009 6137
7149 8272 9391
7262 8384 0619 1732 2843 3950
9228
0507 1621 2732 3840 4945 6047 7146 8243 9337
6157 7256 8353 9446
4061 5165 6267 7366 8462 9556
0319 1408 2494 3577 46.58 5736 6811 7884 8954
0428 1517 2603 3686 4766 5844 6919 7991 9061
0537 1625 2711 3794 4874 5951 7026 8098 9167
06461 1734 2819 3902 4982 6059 7133 8205 9274
0979
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2042
2148 3207 4264 5319 6370 7420
1192 2254 3313 4370 M24 6476 7525
1298 2360 3419 4475 5529 6.581 7629
1405 2466 3525 4581 6634 6686 7734
9503
112
9838
- -- -- -- - - -- -- -- -- 2288
3508
3397 4503 5606 6707 7805
8900 9992
0284 1399 2510 8618 4724 5827 6927 8024 9119
4614 5717 6817 7914 9009
0396
1510 2621 3729 4834 5937 7037 8134
5055
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1082 2169 3253 4334 M13 6489 7562
0101 1191 2277 3361 4442 5521
0210 1.299
2386 3469 4550 5628 6704 7777 8847 9914
6596
8633
7669 8740
9701
98(lI
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(lI73 1936 2996 4053 51(l1 6160 7210
0730 1843
2954
3175 4282 5386 6487 7586 8681 9774
9665
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0755 1843 2928 4010
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109 l(l1
5197 6274 7348 8419
5089 6166 7241 8312 9381
107
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5003 6055 710S
3102 4159 5213 6265 7315
1511 2572 3630
1617 2678 3736 4792 5845 6895 7943
4686 5740 6790 7839
106
lOS
PROPORTIONAL PARTS.
DUI.
1
2
3
4
5
6
7
8
11.8 11.7 11.6 11.5 11.4 11.3 11.2 11.1 11.0 10.9 10.8 10.7 10.6 10.5 10.5 10.4
23.6 23.4 23.2 23.0 22.8 22.6 22.4 22.2 22.0 21.8 21. 6 21.4 21.2 21.0 21.0 20.8
35.4 35.1 34.8 34.5 34.2 33.9 33.6 33.3 33.0 32.7 32.4 32.1 31.8 31.5 31.5 31.2
47.2 46.8 46.4 46. 0 45.6 45.2 44.8 44.4 44.0 43.6 43.2 42.8 42.4 42.0 42.0 41.6
59.0 58.5 58.0 57.5 57.0 56.5 56.0 55.5 55.0 M.5 M.O 63.5 53.0 52.5 52.5 52.0
70.8 70.2 69.6 69.0 68.4 67.8 67.2 66.6 66.0 65.4 64.8 64.2 63.6 63.0 63.0 62.4
82.6 81. 9 81. 2 SO. 5 79.8 79.1 78.4 77.7 77.0 76.3 75.6 74.9 74.2 73.5 73.5 72.8
94.4 93.6 92.8 92.0 91. 2 90.4 89.6 88.8 88.0 87.2 86.4 85.6 84.8 84.0 84.0 83.2
9
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117 116 115 114 113 112
III 110 109 l(l1 107 106 lOS 105
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93.6
TA.BLB IO.-LOGA.RITHMS OJ' NUMBERS. , No. 415 L. 618.) 1
7 8 9
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0240
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1280 2318
420
3249 4282 5312 6340
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3659 4591 5621 6648 7673
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4488 6618
6546 7571 8593 9613
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0631 1647 26M 3670 4679 5685 6688 7690
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8
7
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9686
1474
1673
2465 3453
2563
1672 2662
1771 2761
4439 M22
3551 4537 6621
3650 4636 5619
6404 7383 8300 9335
6602
6eoO
7481
7579
8749 4734 5717 6698 7676
8468
8555 9530
8653 9627
8847 4832 6815 6796 7774 8750 9724
1569
0696 1666
8489
6588
1849 2862 3872 4880 5886
6l!89
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3766 4798 5827 6853 7878
8900 9919
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2835
2939
3042
3869
3973
4076
4901 5929 6956 7980
5004 5107
4179 5210
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6135 7161 8185
6238
9104
9206
9308
0123 1139 2153 3165
0224
0326 1242 2356
3268
3367
4175 5182 6187 7189 8190 9188
4276 6283
4376
9002
1951
3064
3973 4981 5986 6989
4074 5081
7990 8988 9984
8082
eos7 7089 8090 9088
104
103
7263 8287
I--- - - - - - -
2963
7890
1072 2110 3146
1903
0021 1ms 2052
8888 9885
0032
1799
1241 2265
102
101
5383
6287 7290 8290
6388 7390
8389 9387
9287
100
- -I - - - - --I - --I - - - - I - 0084 0183 0283 0382 640481 0581 0680 0779 0879 9486
9432
0978 1970 2959 3946 4931 5913 6894 7872 8848 9821
1871
2800
1077
2069 3058
4044 5029 0011
6992 7969
8945 9919
r---0405 - -0502 - - - - - - -- 650308 0599 1278
2246
1375 2343
1472 2440
2536 3502
8405
7056 8011
4273 5235 6194 7152 8107
5331 6290 7247
8965
9060
9166
9250
0011
0960
0106 1055
1813
1907
2002
O'J01 1150 2096
Dlff.
1
2
105 104 103 102 101 100 99
10.6 , 10.4 110.3 10.2 10.1 10.0 9.9
8 Q
2628
0733 1748 2761 3771 4779 5785 6789 7790 8789 9785
1545 2569
8309
1 2 3 4 66 7
I;
- - -I - - - - - - - - - - - - - - - - - - 618048 8153 8257 8362 8466 8571 8676 8780 8884 8989 105 9198 0093 9302 9406 9511 9615 9719 9824 9928 - -
7 8 9 1 2 3 4 6 6
i
[No. 459 L. 662.
8
N.
3213 4177 5188
0098
4369
4465 6427
6386 7343 8298
8202
9916
--660865
4658 6619 6577 7534 8488 9441
0296
0391
1245 2191
28U
2923
3791 4754 5715 6673 7629 8584
3695
1339
2286
9536 0486 1434
2380
1276
1375
2267
2366
3255
33M
99
4242
4340 5324 6306 7285
98
5226 62(1!
7187 8166 9140
82G2 9237
- -- - - 0016 0987 1956
0890
3598 4562 5523 6482 7438 8393 9346
4143 5127 6110 7089 8067 9043
1859
0793 1762 2730
2633
1177 2168 3156
0113 1084 2053 3019
0210 1181 21SO 3116
8888
3984
4850 5810 6769 7725 8679 9631
4946 6900
4080 6042 6002
7820 8774 9726
7916 8870 9821
1529 2475
1623 2569
2663
ooeo
6864
-0581--0676- -0771
97
96
95
1718
PROPORTIONAL PARTS.
3
4
5
6
7
8
9
- - --- --- - - - - - - --- - - - - - - --- - - 21.0 20,8 20.6 20.4 20.2 20.0 19.8
31.5 31.2 30.9 30.6 30.3 30.0 29.7
42. 0 41.6 41. 2 40.8 40.4 40.0 39.6
185
52.6
~2.0
51.5 61.0 SO.S 50. 0 49.5
63.0 62.4 61.8 61.2 00.6 00.0 59.4
73.6 72.8 72.1 71.4 70.7 70.0 69.3
84.0 83.2 82. 4 81.6 80.8 80.0 79.2
94.5 93.6 92.7 91.8 90.9 90.0 89.1
~ .~•
No. 400 L. 662.) -- - - -
~ _0
_1_1___I ___11_1_4_1_6__C___2 _ _8_~ D.uJ.
4IlO 1 2
662758
~
5581 6518
4 5 6 7
~2
3795 .736 6675 6612 7546 8479
3701
4642 7~
8386 Ga17
8 670246 9 1173 .70 2098 1 3021 2 a942 3 4861 4 6778
5
6694.
6 7 8
7607 8518 9428
-
9410 9339
l265
2190 3113 4034
4953 5870 6785 7698
8009 9519
2947 3889
80U
5700 6705 7640
68e2
= 3136
~8
3983
.sao
eM ®is
61W 7738
8572 9603
4
5 6 7 8
9 490 1 2 3
4 5 6 7 8 9
3230 332f 3418 1161$ . . 1172 ~ 4360 ~ ~ 6112 ~ ~ 53IIJ 5W ~ 6B3 62J10331 . . . ....,.,
7
8759
0431 1358
0524
0617
1461
l543
0710 1636
2283
2376 3297 4218
2467 3390
2500 3482
3:lO5 <W6
5045
5137
5002
6053 6968
6876 7789 8700 9610
9689
mo 5228
7019
7lIIIO S01.3
7173 811)6
tl60
726(1
81911 .111193
8!iSJl 8$45 9OjI8 11131 9181! 9875 9967
8665 11596
~ 5320
0802
0885
Q988
~
181'.1 2714 3666 46i6
4Kit1
11'~
3/i1,fo ~
A224
:~
~
O\P3
7881 8791 9790
9791
--
680836 0426 0517 0607 0698 1241 1332 1422 1513 1603 2146 2235 2326 2416 2506 3047 3137 a:m a:m 3407 3947 ~7 4127 42.17 4307 01845 5025 5114 5204 5742 5831 51121 6010 6100 6636 6726 6815 6904 6994 7529 7618 7707 7796 7886 8420 8509 s.1()8 8687 8776 9300 939S ~ 11575 9664 ---\---1--1-- - 6OOl96 0373 0462 0550 0285 1110 1347 1435 10lU ~ 1965 !i053 2142 2230 2318 2847, 2935 3023 3727 3815 aooa 4781 4605 4003 4868 49561 5482 5569 5657 5744 5832 6531 6356 6444 0018 6706! 7229 7317 7404 7491 751$ 8100 8188 8275 8362 ~
49351
93
1080
~
1.9111 as36
.2Q29
87511
5IJ,;a 6503 6695 61461 6236 ~ 6419 t511 7059 7151 7242 7aa3 7424' 7972, 8063 8154 8245 8336 88821 8973 9064 9155 9ZtO
I9 400 1 2 3
...
1850 "* 6681
92
Ge02 7516
8427
.91 9973 - - - -0063 01541 0245 0789 0879 09'10 1060 11151 1003 1784 1874 1964 2Q';5 2596 2686 2777 as67 2IW>7 3497 3G87 3817 :lU7 38D7 90 4:1116 4486 4676 .006 ~66 5294 sass 5473 6;>68 6652 6l.8l1 6279 6368 6058 66.47 7083 7172 7261 7351 7440 7975 8064 8153 8242 8331 .89 8865 8953 9Of2 9131 ~ 9753 9841 9930 - - - - - - - .00111 QlO7
9882
0039
0728 .0816
1524 2406
1612 2494
-1700 ~
UOO5 17811 2611
QIiIII3
= JH17 :m9 .
~~ ~~Iff8J ~ ~ ~ 5044 6!U0 6793 7665
85a5
5131 6007
5219
6i8O
6968
7752
8G22
6()g4
7839 8709
9337
5307 6.182 7055
&394 ~
71-42 8Ql4
7926
8Ii83
8796
87
Pl\OPOIII1'IONAL P A,"'I!.
Dill.
1
2
II
11.7 9.6 9.5 9.4 9.3 9.2 9.1 0.0 8.9 8.8 8.7 8.6
19.4 19.2 19.0 18.8 18.6 18.4 18.2 18.0 17.8 17.6 17.4 17.2
:111.1 28.8 28.5 28.2 27.9 27.6 27.3 27.0 26.7 26.4 26.1 21>.8
4
5
G
78
48.5
68.2 57.6 1>7.0 56.4
6'/.9
9
-- -9.8- -19.6 --- -30.2 --- -&8.8 - - -68.6- 178.4 - -88.298 29.4 49.0 117
96 95 94 93 92 91 90 89 88 87 86
88.8 as.4.38.0. 37.6 37.2 36.8 36.4 36.0 31>.6 85.2 84.8 84.4
186
~.O.
47.6 47.0 46.5 46.0 4Ii.5 4Ii.O 44.5 44.0 43.5 43.0
~.8 ~.2
li4.6 54.0 53.4 62.8 62.2 61.p
67.2 QII.6 65.8 r.5.1 64.& 63. 7 63.0 62.3 61.6 ~9
jO.2
77.6 87.3 76.8 86.4 '16,0 86.-6 75 ..2 ~6 U . .! 83.7 73..& 82.8 72.881.P 72.0 81.&
:1.2 70.1
80.1 '79.11
jI9.,&
78.3 77.&
jj8..8
'fAaLB H.-LOOA&lTBIIS OJ' NUMBEas. No. 500 L. 698.]
N. 1500 1 2 3 4 6 iI 7 8 9 610 1 2 3 4 5 6 7 8 9 520 1 2 3 4 6 6 7 8 9 530 1 2 3 4 5 6 7 8 9 540 1 2 3 4
0 698970
9057
9838
992!
700704 1568
0790
un
3291 4151 IiIXJ8
1654
2li17 3377 ~
6718 7670 8421 9270
6094 6949 6803 7666 8506 9366
710117
0202
0963
7671
1048 1892 2734 3576 4414 6251 6ff87 6921 7754
8502
8585
6864
a
_1_'_2_
6000 6838 9331
9414
5095
5912 6727 7541 8354
9165 9974
--730782 1689 2894 3197 3999 4800
6Ii99
9491
9578
9664
9317
9404
0008 0963 1827 2689 3M9
0184 1050 1913 2775
0271 1136 1999 2861 3721 4579 5436 6291 7144 7996
0358 0444 12"22 1309 2086 2172 2947 3033 3807 3893 4665 4751 6622 5607 6376 .6462 7229 1315 8(}81 8166 8846. 8931 9015 9694 9779 9863
3635
~
4494
6265 5350
6120 6974 7826 8676 9524
9440 0287 1132 1976 2818 3659 4497 5335 6170 7004 7837 8668 9411'1
4358 5176 6993 6809 7623 8435 9246
6258 6075 6890 7704 8516 9327
0056
Ola6
1669 2474 3278 4079 4880 6679
8
9231
3538
(}863
1
9144
(}g25 1161 1975 2798 3620
0242 1068 1893 2716
II
0011 (}g77 1741 2003 3463 4322 6179 6035 6888 7740 8591
6206 7059 7911 8761
0371 1217 2060
9609
~~I
2144 2986 3826 4665 6502 6337 7171 8003 8834 9663
2902
3742 4581 5418 6254 7ff88 7920 8751 9580
0407 1233 2058 2881 3702 4522 63.40 6156 6972 7785 8597
4440
0490 1316 2140 2963 3784 4604
5422 6238 7053 7866 8678 9489
94(}8
-
9
Dill.
9751
3358 4160 4960 6759
0540 1385 2229 3070 3910 4749 6686 6421 7254 8917 9745
0531 1395 2258 3119 3979 4837 . 5693 6547 7400 8251 9100 9948
0617 1482 2344 3205 4065 ~'22
0208
l10D
1911 2715 3518 4320 5120 5918
86
5778 6632 7485
8a36
85
9185
-0626-lOTIO -0794- -0033 009 1470 2313 3154 3994
4833 5669 6504 7338 8169 9000 9828
1564 2397 3238 4078 4916 6753 6588 7421 8253 9083 9911
1639 2481 3323 4162 5000 5836 6671 7504 8336 9166 9994
1723 2Ii66 3407 4246 6084 5920 6754 7587 8419 9248
- - - -I - - 0573 1398 2222 3045 3866 4685 5.')03 6320 7134 7948 8759 9570
0666 1481 2305 3127 3948 4767 6685 6401 7216 8029 8841 9651
0738 1563 2387 3209 4030 4849 5667 6483 7297 8110 8922 9732
0378 1186 1991 2796 3598 4400 5200 6998
0459 1266 2072 2876 3679 4480 6279 6078
0540 1347 2162 2956 3759 4560
--
0821 1646
2469
3291 4112 4931 5748 6564 7379 8191 9003 9813
0077 0903 1728 2552 3374 4194 5013 5830 6646 7460 8273 9ff84 9893
- - - - - - - -- - - -
0217 1024 1830 2635 3438 4240 5040 5838
0944 1750 2Ii55
I-
8(}86
I -- -- - - -- 720159 0986 1811 2634 3456 4276
6
- -- -- - - -- - - -- -- -
- - -- -- - - 1807 2650 3491 4330 6167
[No. 544 L. 736.
_4_,
63.59 6157
0621 1428 2233 3037 3839 4640 5439 6237
0702 1508 2313 3117 3919 4720 6619 6317 ----
84
83
82
81
80 ~-
PROPORTIONAL PARTS.
Dill.
1
2
3
4
6
6
7
8
9
26.1 25.8 :a6.6 :a6.2
34.8 34.4 34.0 33.6
43.6 43.0 42.6 42.0
62.2 61.6 61.0 50.4
60.9
119.5 68.8
69.6 68.8 68.0 87.2
78. 3 77.4 76.6 76.6
- - - - - --- - - - - - - --- --- - - - - - - - 87 86 85 84
8.7 8.6 8.6 -8.4
17.4 17.2 17.0 l6.8
1&7
IO.~
TABLE to.-LOGARITHMS 0'" NUMBE'&S.
[No. 584 L. 767.
No.54D L.736.] N.
0
550
1 2 3 4 5 6 7 8 9 560 1 2 3 4 5 6 7 8 9 570 1 2 3 4 5 6 7 8 9 580 1 2 3 4
2
1
1- --545 736397 7193 6 7987 7 8781 8 9572 9
•
8
6
8
7
8
9
7670 8403 9256
7749 8543 9335
7829 8622 9414
7908 8701 9493
0047 0836 1624 2411 3196 3980 4762 5543 0323 7101 7878
0206 09IM
0284
9427
0126 0915 1703 2489 3275 4058 4840 5621 6401 7179 7955 8731 9504
9582
9659
0354 1125 1895
0431 1202 1972 2740
- - - - - - - - - - - - - --8476 - -6556 6795 6874 6954 7034 7113 6035 6715 7272
8067
7352 8146
7431
7511
7590
8939
8225
8305 9097 9889
9177
9731
9018 9810
0521
0600
8860 9651
0442
1388 2175 2961 3745 4528
8384
99f>8
- - - - -- -- - - - - 740363 1152 1939
1230
2725
2804
.1309 2096 2882
3510 4293 5075
3588 4371 5153 5933 6712 7489
3007 4449 5231 6011 6790 7567
5855 6f>34 7412 8188 89f>3 9736
2018
8266
8343
9040 9814
9118 9891
0586 1356 2125 28\13
06f>3
0678 1467 2254 3039 3823 4f>06 5387 6167
5309 6089 6868 7645 8421 9196
- - - - -I - - 750508
1279 2048 2816 3583 4348 5112 5875 6636
7396 8155 8912
9f>f>8
3660 4425 5189 5961 6712 7472 8230 8988 9743
0740 1510 2279 3047 3813 4578 5341 6103
1433
2202 2970 3736 4501 52f>5
6027
7722 8498 9272
0200
0277
0817 1587 2356 3123
0894 1684 2433 3200
0971 1741 2509 3277
3889 4f>54
396f>
400
4730 5494 6256 7016 7775 8533
4807 5570
1(148 1818 2586 3353 4119 4883 6640
6945
99f>8
-0046- -0123-
5417 6180
6788· 7548
6864
6940
7624
8306
8382
9Of>3 9819
9139 9894
7700 8458 9214 9970
1326 2078
1402 2153
--- -0649 ---0498 --0573 0724 760422 1176 1928 2679
3428 4176 4923 56f>9 8413
1251
2003 2754 3503 4251 4998 5743 8487
f>332
6408
9290
7168 7927 8685 9441
0046 0799 1552 2303 3053
0121 0875 1627 2378 3128
0196 0950 1702
3653 4400 5147 5892
f>f>36
2978 3727 4475 5221 5965 6710
3802
3877 4624 5370 6115 6859
79
1073 1860 2647 3431
1782 2568 3353 4136 4919
~15
4997 5m
5699
78
6556
8479 7256
7334 8110
8033 8808
8885
26f>3
3430
3506
4195 4960 5722
4272 5036 5799
77
f>56O
8484 7244
7320 8079 8836 9592
8003 8761 9517
76
.
- - - -- -- -I -
2228
2904
3578 4326 5072 5818 0562
8653
7092 7851 8609 9300
1477
2829
- -- -- -- -
0757 1540 2332 3118 3902 4684 5405 6245 7023 7800 8576 9350
D111.
4550
5296 6041 6785
2453 3203 3952 4099 5445 6190
6933
0347 1101 1853
0272 1025 1778 2529 3278
2604
3353
4027
75
4101 4848 5594
4774 5520 6284 7007
f>338 7082
PROPORTIONAL PARTS.
D111.
1
2
3
5
4
6
7
8
9
- - - - - - - - - --- - - - - - - ---83- - -8.3- --68.1 68.4 74.7 16. 6 24.9 33.2 41.5 49.8 82 81 80 79 78 77 76 75 74
8.2 8.1 8.0 7.9 7.8 7.7 7.6 7.6 7.4
16.4 16.2 16.0 15.8 15.6 15.4 15.2 15.0 14.8
24.6 24.3 24.0 23.7 23.4 23.1 22.8 22.5 22.2
32.8 32.4 32.0 31.6 31. i 80.8 30.4 80.0 29.6
188
41. 0 40.5 40.0 39.5 39.0 38.5 38.0 37.5 37.0
49.2 48. 6 48.0 47.4 46.8 40.2 45.6 45.0 44.4
57.4 56.7
66.0 66.3 54.6 53.9 53.2 52.5 61.8
05.6 .73.8 72.9 64.8 64.0 72.0 71.1 63.2 70.2 62.4 61.6 611.3 60.8 68.4 60.0 . 67.5 69.2 , 66.6
T.!BLII lO.-L08HITB.S 01' lUI . . . . . . [No. 629 L. 799.
No. 585 L. 767.) N.
'-585 6 7 8 9
590 1 2 3 4
5 6 7 8 9
600 1 2 3 4 5 6 7 8 9 610 1 2 3 4
5
6 7 8 9 620 1 2 3 4 5 6 7 8 9
"
0
1
767156 7898
7230 7912 8712 94S1
7304 8046 8786
7379 8120 8860
9525
~
770115
0189
0852
0926
026a 0999
1587 2322 3055 3786 45171 5246 5974 6701 7427 8151 8874 9596
1661 2395 3128
oaa6 1073 1808 2542 3274 4006 4736 5405 6193 0919 7644 8368 9091 9813
0410 1146 1881 2615 3348 4079 4809 5538 6265 0992 7717 8441 9163
0533 1253 1971
0605
2688 3403 4118 4831 5543 6254 6964 7673 8381 9087 9792
2759 3475 4189 4902 5615 6325 7035 7744 8451 9157 9863
8638 9377
I
8
7453
~
9673
_6_1 ___1_1_ 76Z1 8268 IlOO8 9746
8342
7601
3860 4590 5319 6047 6774 7499 8224 8947
1734 3201 3933 4663
5392 6120 6846 7572
8296
9669
9019 9741
0389 1109 1827 2544 3260 3975 4689 5401 6112
0461 1181 1899 2616 3332 4046 4760 5472 6183
6822
6893
7531
7602 8310 9016 9722
9
~
7675 8416 9156
9820
9894
9230 9968
0484
0551.
1220 1955
1293
0631 1367 2102
0705 1440 2175
0778 1514
3421 4162 4882 5610
3494 4225 4955
3567
3640
3713 4444 5173
Ii683
5756
6338
6411 7137 7862
7209 7934
8585 9308
8658 9380
0677 1396 2114 2831
0749 1468 2186
3546
3618 4332 5045 5757 6467 7177 7885 8593
- - - - - - - - - - - - -2468
8 7749 8490
7823
8564 9303
780317 1037 1755 2473 3189
3904 4617
5330 6041 6751 7460 8168 8875 9581
8239 8946 9651
1324
2042
2028 2248 2688 2762 28a5 2908 2981
7064 7789 8513 9236 9957
4298
5028 6483
4371
5100 5829
4261 4974
5686 6396 7106 i815 8522 9228 9933
2902
6556
7354 8079
0821 1540
0893
2258
2329 3046
0965 1684 2401 3117 3832 4546 5259 5970 6680 7390
9299
2974
3689 4403
5116 5828
6538 7248 7956 8663 9309
1691 2392 3092 3790 4488 6185 5880 6574 7268 7960 8651
1059 1701 2462 3162 3800 4558
1129 1831
2532
7337
3231 3930 4627 6324 6019 6713 7406
8029
8098
8720
8789
6254 5949
6644
1199 1901 2602 3301 4000 4697 5393
1269 1971 2672 3371 4070 4767
6088
6158
5463 6852
6782 7475 8107
8236
8858
8927
7545
1340
1410
2041 2742 3441 4139 4836 5632 6227 6921 7614 8305 8996
2111 2812 3511
1480 2181
2882
8802 9624
1612 3761 4475 5187
5899 6609 7319 8027 8734 9440
9510
0144 0848 1550
0215 0918 1620 2322
2252
3022
Il602 6297
6366
6990
6436
6505
7060 7752
8443
7129 7821 8513
9134
9203
8582
7683 8374
9065
71
- -- -
2952 3651 4349 5045 5741
4906
72
8098 8804
3581 4279 4976 5672
4209
73
5902 6629
7282 8006 8730 9462
- -I -- - - - 0004 0074 - -0496 --- 0356 -0426 0567 0637 0707 0778 79028.'l 0988
74
- - -I - -0042-
- -r - - - - - - - - - - - - - - - - - 0029 0101 0173 0245 9885
DI1f.
70
3721 4418 5115 5811 7198 7890 9272
69
PROPORTIONAL PARTS.
DUI.
1
- - --75 74 73 72 71 70 69
7.5 7.4 7.3 7.2 7.1 7.0 6.9
2
3
4
5
6
7
8
9
- - - - - - --- ---' ------15.0 22.5 30.0 37.5 46. 0 60.0 14.8 14. 6 14.4 14.2 14.0 13.8
22.2 21.9 21.6 21.3 21.0 20.7
29.6 29.2 28.8 28.4 28.0 27.6
189
37.0 36.5 36.0 35.5 35.0 34.5
44.4 43.8 43.2 42.6 42.0 41.4
52.5 51.8 51.1 50.4 49.7 49.0
48.3
67.5
59.2 58.4 57.6 56.8 56.0 55.2
66.6 66.7 64.8 63.9 63.0 62.1
[No. 674 L. 829.
No. 630 L. 799.)
0
N.
•
_i_i_B_
1
1630
799341
9409
94781
9547
9616
1 2 3 4 5 6 7 8 9
800029
0098 0786 1472 2158 2842 3525
0167
0236
0306
08M
0923
1541 2226 2910 3li94 4276 4957
1609 2295 2979 3662
640
0717 1404 2US9 27H 3457 4139 4821 5501 806180
1 2 3 4 5
6858
6926
7535 8211 8886 9560
7603 8279 8953 9627
6 7 8 9
650 1 2 3 4 5 6 7 8 9
4208 4889 5569 6248
5773115841 6619 6451 7129 17197 7806 7873 8481 8549 9156 9223 9829 9896
6384 7061 7738 8414 9088 97b"2
834tl 9021 9694
~all ~}~
4,412 14,480 5093 5161
5025 5705
6316 6994 7670
2363 , 2432
9823
9892
9961
()4.42
0511
1129 1815 2500 3184 3867 4548
1198 1884 2568 3252 3935 4616 5297 5976 6655 7332 8008 8884
0580 1266 1952 2637 3321
0648 1335 2021 2705
4,003
4071 4753 5433 6112 6790 7467 8143 8818 9492
5229 5908 6587 7264 7941 8616 9290
9964
- - - - -- - - - - - - - - 81(l"..33 0904 1575 2245 2913 3581 4248 4913 5578 6241
6904 7565 8226
0300
0971 1642 2312 2980 3648 4314 4980 5644
6308 6970 7631
8292
0367 1039 1709 2379
0434 1106 1776 2445
3047 3714 4381 5046 5711 6374 7036
3114 3781 4,447 5113 5777
8885
8951
8358 9017
9544
9610
9676
1 2 3 4 6 6 7 8 9 670 1 2 3 4
820201
0267
0858
0924
0333
1514 2168 2822 3474 4126 4776 5426 6075 6723 7369 8015
8660
0636 1307 1977 2&46
3181
3247 3914 4581 5246 5910 6573 7235 7800
3314 3981 4,647 5312 5976 6639 7301 7962
4514 5179 5843
6440
6506
-0399 - -0464 -
2233
2299
2887 3539 4191 4841 5491
2952 3605 4256 4906
5556
1055 1710 2364 3018 3670 4321 4971 5621
6140 6787 7434 8080 8724
6204 6852 7499 814,4 8789
6269 6917 7563 8209 8853
1579
0569 1240 1910 ,2579
7102 7169 7164 7830 8424 8490 855e 8622 908319149 , 9215 I 9281 9741 9807 i 987319939
7698
660
0501 1173 1843 2512
3848
0989 1645
1120 1775 2430 3083 3735 4386 5036 5686
!~
i
1841
~
3148
0595 1251 1906 2560 3213
3800
3865
i 2495
!' 5101 4451
; 5751 6334 I 6399 6981 i 7046 7628 I 7692 8273 I 8338 8918 I 8982
II
:54
--;-
4344
5637
I oc: I
0373 0992 1061 1678 I 1747
8
1
4516 5166 5815
0031 0703 1374 2044 2713 3381 4048 4714 5378
6042
8028 9346 0004 0061 1317 1972 2626 3279 3930 4581 5231
0880
6464
6528 7175 7821 8467 9111
I
0098 0770 144, 2111 2780
6705 7367
7111 7757 8402
9046
5365 6044
9358
89!8
3389
4685 6723 7400 8076 8761 9425
I
Dlfr.
0166 0837 1508 2178 2847 3514 4181 4,647 5511 6175
3«8 4114 4780 5445 6109' 6771 7433 8094 8754 9412
68
67
6838 7499 8160
8820 9478
0070 0727 1362 2037 2691 3344 3996 4646 5296 5945
66
0136 0792 1448 2103 2756
3409 4,061 4711 5361 6010
66
6658
6593 7240 7886 8531 9175
7305 7951 8595
9239
PROPORTIONAL PARTS.
Dut.
1
2
3
4
5
6
7
8
9
- - --- - - - - - - - - - - - - ------ - - - - - 68 67
M 65 64
6.8 6.7 8.6 6.5 0.4
13.6 13.4 13.2 13.0 12.8
20.4 20.1 19.8 19.5 19.2
27.2 26.8 26.4 26.0 25.6
I
~
I~
190
34.0 33.5 3.1.0 32.5 32.0
40.8 40.2 39.6 39.0 38.4
47.6 46.9 46.2 45.5 44.8
54.4 53.6 52.8 52.0 51.2
61. 2 60.3 .59.4 58.5 57.6
N9.6T5L.8I¥,
7 8 9 680 I
2
3 4 5 6 7 8 9 690 1
1
8293&4' 9947
9368
9432
f8TO'
0011 0fl53 .1294 1934
0075 0717 1358 1998
2509
2573
2637
3147 . 3784 4421 5M6 5691 6324 6957 7588 8219 8849 \lIi78
3211 3848 #84 5120 5754 6387 7020 7652 8282 8912 9541
1----,--830589
;;SO
I-
2 3 4 5 6 7 8 9 700 1 2 3 4 5 6 7 8 9 710 1 2 3 4 5 6 7 8 9
I
0
N. 675 6
INO. 719 L. 857-.
840100 0733 1359 1985
2609
3233
3855
9.77
0098 6718 6837
6055
7673 8189
8805 9419
2480 3090 3698
4306 4913 5519 6124 6729
7 ___ 8 ___ It_ Dlff •
9497
9561
9625
9690
9754
9818
9882
0139 0781 1422 2062 2700
0204
0268 0909
0332 0973 1614 2203 2892 3530 4166
0396
1037 1678 2317
0400 1102 1742 2381
0525 1166 1806 2445
2956
30aJ
3593 4230
4802
4866
3657 4294 4929 5564 6197 6830 7462 8093 8723 9352 9981
3083
- - - -- - - - - -- -- -- -- -
3275 3912
0845 1486
2~
3975 4611 5247 5881 6514 7146 7778 8408 9038 9667
2764 3402 4039 4675 5310 5944 6577 7210 7841 8471 9101 9729
09'n
0984
3338
4548
5183 5817 6451 7083 7715
8345 8975
9604
1650 2189 2828 3466 4103 4739 5373 6007 6641 7273 7904 8534 9164 9792
5437 6071 6704
7336 7967 8597 9ZrT
6506 6134 6767 7399 8030 8660
9855
9289 99'18
1109 1735 2360 2983
3606
1172 1797 2422 3046 3669
3721 4357 4993 5ffn 6261 6894 7525 8156 8786 9415
- - - - - - - - -- - - -0169 -I0232 0294 0357 0420 0482 0545 0608
0859 1485 2110 2734 3357 3980 4601 5222 5842 6461 'KJl9 7696 8312 8928
0796 1422 2047 2672 3295
3918 4539 5160 5780 6399 7017 7634 8251
8866 \1481
- - -- 850033 0646 1258 1870
• _6-_1_8___
B
0095
0707 1320 1931 2541 3150' 3759 4367 4974 5580 6185 6789
1547 2112 2796
2235
2859
1046 1672 2297 2921
3420
3482
3544
6585
4166 41129 4788 4850 5408 5470 6028 6090 6646 , 6708 7284 7326 7881 7943 8497 8559 9112 9174 9726 9788
1610
4104 4726 5346 5966
4042
4664 5284 5904 6523 7141 7758 8374
72W 7819 8435
9542
8989 9604
9051
0769 1381 1992 2602 3211 3820 4428 5034 5640 6245 6850
0830 1442 2053 2663 3272 3881 4488 5095 5701 6306 6910
0891 1503 2114 2724
9665
Wci 5532 6151 6770 7388 8004
8620 9235 9849
64
, ;
, 63
-0043 0671 1297 1922 2547 3170 3793 4415 5036 5656 6275 6894 7511 8128 8743 9358 9972
1234 1860 2484 3108 3731 4353 4974 5594 6213 6832 7449 8066
8682 9297
62
9911 -0217 --0279- -0340- -040l- -0462- -0524-- -0156 0585
3333
3941 4549 5156 5761 6366 6970
0952 1564 2175 2785 3394
1014 1625
1075 1686
2236
2297
4002
4063
4610 5216 5822 6427 7031
2846 3455
4670 5277 5882 6487 7091
2907 3516 4124 4731 5337 5943 6548 7152
1136 1747 2358 2968 3577 4185 4792 5398 6003 6608 7212
1197 11\09 2419'
3029
3637 4245 4852 5459 6064 6668 7272
61 ;
PROPORTIONAL PARTS.
Dill.•
1
2
3
4
5
6
7
8
39.0 38.4 37.8 37.2 36.6 36.0
45.5 44.8 44.1 43.4 42.7 42.0
52.0 51.2 50.4 49.6 48.8 48.0
9
--- --- --- --- --- --- --- --- - --6.6 19.5 65 64 63 62 61 60
6.4 6.3
6.2
6.1 6.0
13.0 12.8 12.6 12.4 12.2 12.0
19.2 18.9 18.6 18.3 18.0
26.0
25.6 25.2 24.8 24.4 24.0
191
32.5 32.0 31.5 31.0 30.5 30.0
58.5 57.6 56.7 55.8 54.9 54.0
TABLE lO.-LOfUIUTBII8 OF NUDBas. No. 720 L. 857.]
N.
0
1
- -7513 -720 - ---7393 - -7453 857332 1 2 3 4 6 6 7 8 9
7936 8537 9138
9739
7574 8176 8778 9379 9978
8116 8718 11.118 9918
8056 8667
9258 9859
860338 0937
1534 2131 2728 3323 3917 4511 5104 6696 6287 6878 7467 8056
1 2 3 4 5 6 7 8 9 740 1
0:198 0996 1594 2191 2787
3382
0018 1116 1714 2310
0458 101i6 1664 2251 2847 3442 4036 4630 6222 5814
~
3977 4570 5163 5755 6346 6937 7526 8115 8703
7585 8174 8762
9232 9818
9290 9877
9349 9935
2906
640Ii 6996
8821
9408
2 3 4 6 6 7 8 9
870404 0989 1573 2156
750 1 2 3 4 5 6 7 8
5061 5640 6218 6795 7371 7947 8522
II 760 1 2 3 4
27~9
3321
3902
~
9096 9669 1
880242 0814 1385 1955 2625
3093
0462 1047. 1631 2215 2797 3379 3960 4540 5119 6698 ~276
6853 7429
8004 8579 9153 9726
2855 34.17 4018 4598 5177 5756 6333 6910 7487 8062 8637 9211 9784
-0299 - -0356 -- 0413 0871 1442 2012 2581 3150
0928
0985
1499
1556 2126 2695 3264
2069 2638 3207
0098 0697
3026 3620
3085 36SO
4214 4808 5400 5992 6583 7163 7762 8350
4274 4867 5459
8409 8997 9584 0170 0755
1281 1865 2448 3030 3611 4192 4772 5351 5929 6507 7083 7659
8
II
Dltr.
8357 8958 9559
8417 9018 9619
8477 9078 9679
60
0158 0757 1355 1952 2549 31" 3739
0218 0817 1415 2012
0278 0877 1475 2072
1339 1923
2506
3088 3669
43.13 4926 5519 6110 6701 7291 7880 8468 9056 9642 0228 0813 1398 1981 2564 3146 3727
4250
~
4830 5409 5987 6564
4888
71~
7717
5466 5045 6622 7199
m4
2(>68
2608
3204
3263
3799 .a92 4985 5578 6169 6760 7350 7939 &;27 9114
3858 4452 5045 5637
9701
9760
02S7
0345 0930
6228 6819· 7409 71198 8586 9173
0872 14.;6 2040 2622 3204 3785 .a66 4945 5524 6102
1515 2681 3262
3844 ~
5582 6160 6737 . 7314 7889 8464
6680 7256 7832 8407 8981
9383 9956
~
9497·
9555
9612
0013 0085
0070 0642
0127
0699
0185 0756
0028
8866
8924
58
5003
8292
8349
59
2008
8234 &809
-- -1042 1613 2183 2752 3321
60Iil 6642 7232 7821
Olll 0696
0471
1295 1893 2489
9525
1
0079 0638 1164 1223 1748 1806 2331 2389 2913 2972 3495 3553 4076 4134 4656 4714 5235 ·5293 5813 5871 6391 6449 6968 7026 7544 7602 8119 8177 8694 8752 9268 9325 9841 9898
2273
0038
8938
9994
0Ii21 1106 1690
9499
0637 1236 1833 2430
3561 4155 4748 5341 5933 6524 7114 7703 8292 8879 9466
8233
8297 8898
2
- - - - - -I - - -
0078 1176 1773 2370 2966
3501 4096 4689 5282 5874 6465 7055 7644
8838 9439
8236
0003
I
•- -7755- -7815- --7634- -7694 -7876 I>
--- - -- - - - --
730
,
7995 8597 9198 9799
INo. 7M L. 883.
, --
I
2
9039
- -- - I - - - -
1099 1670
1156 1727
1213 1784
2240 2809
22'n 2866
2354 2923
1271 1841 2411 2980
1328 1898 2468 . 3037
3377
3434
3491
3548
3605
67
I PROPORTIONAL PARTS.
Dl1f.
1
2
3
,
5
6
7
8
9
68
6.8 6.7 6.6
11.6 11.4 11.2
17.4 17.1 16.8
23.2 22.8 22.4
29.0 28.6 28.0
34.8 34.2 33.6
40.6
46.,
89.9
45.6
39.2
404.8
52.2 51.3 50.'
- - - - - - - - - - - - --- --- --- ---59- --17.7 23.6 29.6 35.4 6.9 11.8 41.3 47.2 63.1 57 56
192
TABLE lO.-LOGABITBB8 OF NUBBEBS.
(No. 809 L. 908.
No. 765 L. 883.)
0
N.
!
1
,
I
•
$
II
8
7
Dlft.
-- -- -- -3776 - - - -3888- -3945- -4002- ---- -3718 -765 883661 4lNi9 4116 4172 3832 6 7 8 9 770 1 2 3 4 6 6 7 8 9 780 1 2 3 4 S 6 7 8 9 790 1 2 3 4 6 6 7 8 9 800 1 2 3 4 5 6 7 8 9
4229 4796 6361
6926 6491 70M 7617 8179 8741
9302
9862
4286 4862
4909
4389 4966
44M 6022
M74
6531
6039
6096 6660 7223
6587 6162
4342
M18 Ii98S 6M7 7111 7674
~
7167 7730
8236
8292 8853
8797
9358
9414 9974
9918
- - - - -- 890421 0980 1537
2095 2651 3207 3762 4316 4870 M23 5975 6526 7077
7621 8176 8725 9273 9821
--900367 0913 1468 2003 2547
3090 3633 4174 4716 5'l1i6 5796 6335 6874 7411 7949
7786 8348
0633
0477 1035 1693 2150 2707 32tl2 3817 4371 4925 M78
8909
9470
0589
6533 6085
6588
6681 7132 7682 8231 8780
6636
6692
7181 7737
7242 7792 8341
8396
0422
1091 1649
1147 1705
2206
2262 2818 3373 3928 4482 5036
2762 3318 3873 4427 4980
6140
8286
--
6713 7336 7898 8460 9021 9582
6136 5700 6266
6192 6767 6321
6829
6885
6942
7392 7965 8516 9077
7449 8011 8573 9134 9694
7606 8067 8629 91110 9750
0812 1370 1928
~
9638
5.'105
6248 6813 6378
6870
6434 6998 71i61 8123
8685 9246 9806
- - - - - - -0263- -0309-1""(ii6 -0030 0086
6030
9875
6209
6716 7280 7842 8404 8965 9526
0645 1203 1760 2317 2873 3429 3984 4538 li091 5644 6195 6741 7297
9328
4512 4S69 4625 4682 4739
5078 5644
0141 0700 12a1 1816
2373 2929 3484 4039 4593 6146 1i699 6251 68O'l 7362
7902
7847
883S 9383 9930
8890 8944 9437 998S
9492
0476 1022 11i67 2112
0531 1077 1622 2166 2710
0586 1131 1676 2221 2764 3307 3849 4391 4932 6472 6012 6651 7089 7626 8163
8451 8999 9M7
0197 071i6 1314 1872 2429
2985 3M0 4094 4648 6201 67M 6306 6857 7407 7957
8506
110M
9602
0924 1482
1426 1983
2039
2696
2540 3040 3096 2484
359S 4150 4704 6257
3151 3706
3651 4205 47tJ9 6312
421il
4814 6367
6809
6864
6920
6361 6912 7462 8012
6416 6967 7617
6471 7022 7672
8067 8616 9164 9711
8122 8670 9218 9766
0804 1349 1894 2438 2981 3524
0859
!5
56
65
- - 0094 -0149- -0203- -02S8- 100i2 - - - - 0039 --
0968 1513 2067 2601 3144 3687 4229 4770 6310
26M
6389 6927 7465
3199 3741 4283 4824 6364 5904 6443 6981 7519
8002
8OIi6
S850
1
3253 3795 4337 4818 M18 5968 6497 7035 7573 8110
0640 1186 1731 2276 2818 3361 3904 4445 4986 6526 6066
6604 7143 7680 8217
0695 1240 1785
0749 1296 1840
2329
2384 2927
2873 3416 3968 4499
5040 6580 6119 6668 7196 7734 8270
3470 4012 4653
6094
5634 6173 6712 7250 7787 8324
1404 1948 2492 3030 3578 4120 4661
4066 ~7
6202
6148
6688
6742 6281
6227 6766 7304 7841 8378
64
6820 7368 7896 8431
PBOPOBTIONAL PUTS.
Dlft.
1
2
3
4
15
6
7
8
9
67
6.7 6.6 8.6 5.4
11.4 11.2 11.0 10.8
17.1 16.8 16.6 16.2
22.8 22.4 22.0 21.6
28.6 28.0 27.5 27.0
34.2 33.6 33.0 32.4
39.9 39.2 38.5 37.8
45.6 44.8 44.0 43.2
61.3 60.4 49.6 48.6
- - --- --- --- --- --- --- - - - -----66
65
64
41749-10--13
I
193
j
TABLE 10.,....LOtUBITU.S ,OF NUMBERS. [No. 8M L. 931.
No. 810 L. 908.)
0
N. "-
810 1 2 3 4
Ii 6 7 8 9 820 1 2 3 4 5 6 7 8 9 830
1 2 3 4 5 6 7 8
:l 840 1 2 3 4 5 6 7 8 9 850 1 2 3 4
1
,
a
i
908485
853lI
8592
9021 9556
9074 9610
9128 9663
910091 0624 1158 1690 2222 2753 3284 3814 4343 4872
0144 0678 1211 1743 2275
0197 0731 1254 1797 2328
3337 3867 4396 4925 5453 5980 6507 7033 7558
3390 3920 4449 4977 5505 6033 6559 7085 7611 8135 8659 9183 9706
- - -•- - - -- - - - Ii
--- - - - - - - -8646 9181 9716
8699 9710
8753 9289
9823
0251 0784 1317 1850 2381 2913 3443 3973 4502 6030 5558 6085 6612 7138 7653 8188 8712 9235 9758
0304 0838
0358 0891 1424 1956 2488 3019 3549 4079 4608 5136
9235
9
7
8
8807 9342 9817
8800 9396 9930
8914 9449
0411 0944 1417
0464
0998
0518 1051 1584 2116 2647 3178 3708 4237 4766 5294
9984
8967 9503
- - - - - - ---- - - - - - - - - - - -
5400 5927 5454
6980 7506
8030 8555 9078 9601
2806
8083 8607 9130 9653
2859
1371 1903 2435
2966 3496
4026 4555
5083
5664
5611 6138
6664 7190 7116 8240 8764 9287 9S10
------ - - - -- 920123
0645
1166 1686
0176 0697 1218 1738
2206
2258
2725 3244 3762 4279 4796 5312 5828 6342 6857 7370 7883 8396 8908 9419 9930
2771 3296 3814 4331 4848 5364 5879 6394 6908 7422 7935 8447 8959 9470 9981
930440 0949 1458
0491 1(00 1509
0280
0228 0749 1270 1790 2310 2829 3348 3855 4383 4899 5415 5931 6445 6959 7473 7986 8498 9010 9521
0801 1322 1842 2362 2881 3399 3917 4434 4951 5467 5982 6497 7011 7524 8037 8549 9061 9572
0542 1051 1560
0592 1102 1610
6191 6717 7243 7168 8293 8816 9340 9862
2009 2541 3072 3602 4132
4660 5189 5716 6243 6710 7295 7820 8345 8869 9392 9914
1530 2063 2594 3125 3655 4184 4713 5241 5769 6296 6822 7348 7873 8397 8921 9444 9967
-f-- - 0384 0436 048Il
6349 6875 7400 7925 8450 8973 9496
8601 9112 9623
0958 1478 1998 2518 3037 3555 4072 4589 5106 5621 6137 6651 7155 7678 8191 8703 9215 9725
1010 1530 2050 2570 3089 3607 4124 4641 5157 5673 6188 6700 7216 7730 8242 8754 9266 9176
9827
0643 1153 1661
0694 1204 1712
0745 1254 1763
0796 1305 1814
0847 1356 1866
8088
0037 0571 1104 1637 2169 2700 3231 3761 4290 4819 5347 5875 6401 6927 7453 7978
53
8502 9026 9549
-- --
1426 1946 2466 2985 3503 4021 4538 5054 5570 6085 0600 7114 7627 8140 8652 9163 9674
0906
--
5822
0019 0541 1062 1582 2102 2622 3140 3658 4176 4693 5209 5725 6240 6754 7268, 1781 8293 8805 9317
0332 0853 1374 1894 2414 2933 3451 3969 4486 5003 5518 6034 6548 7062 7576
DUI.
0071 0593 1114 1634 2154 2674 3192 3710 4228 4744 5261 5776 6291
52
6805 7319 7832 8345 8857 9368 9879
- - - -- - 0185 -- - ._- - - - - - - 0032 0083 0134 -0236 0287 0338 0389
51
0898
1407 1915
PROPORTIONAL PARTS.
DUI.
1
2
3
4
5
6
7
8
9
5.3 5.2 5.1 5.0
10.6 10.4 10.2 10.0
15.9 15.6 15.3 15.0
21.2 20.8 20.4 20.0
26.5 26.0 25. 5 25.0
31.8 31.2 80.6 30.0
37.1 36.4 35.7 35.0
42.4 41.6 40.8 40.0
47.7 46.8 45.9
- - --- --- --- - - --- --- --- --- - - 53 52 51 50
194
45.0
TA.BLE lO.-LOGA.RITHIIlS OF NUMBERS. (No. 899 L. 964.
No. 855 L. 931.)
0
N.
1
,
4
3
2
- - --- - - - - - - - 855 6 7 8 9
860 1 2 3 4 5 6 7 8 9 870
I 2 3 4 6 6 7 8 9 880 1 2 3 4 6 6 7 8 9
890 1 2 3 4 5 6 7 8 9
931966 2474 2981 3487 3993
4498 5003
2017 2524 3031
3791
4751 5255 5759 6262 6765 7267 7769
4801 5306 5809 6313 6615 7317 7819 8320 8820 9320 9819
4852 5356 6860
9369 9869
9419
9469
9918
9968
0815 1313 1809
0865
0915 1412 1909 2405 2901 3396
0964 1462 1958 2455 2950 3445 3939 4433 4927 5419 5912
3690
4145
4195
4549
4li99
4650
5064 5558
5154
7167 7663 8169 8670 9170
4700 5205 5709 6212 6715 7217 7718 8219 8720
9020
' 8570 9070
9519
9569
9619
0516 1014 1511
0566
0616 1114 1611 2107
8520
3740 4246
3639
4094
6564 7066 7568
8069
5658
6665
Dlff.
8269
9220
8770 9270
9669
9719
9769
0666
0716 1213 1710
4296
2322
2423
2271 2778
3285
4044
6162
2220 2727
3234
3538
6061
9
8
7
2169 2677 3183
3082 3589 5104 5608 6111 6614 7116 7618 8119 8620 9120
51i07 6011 6514 7016 7518 S019
2118 2626 3133
2068 2575
8
-- -- - - - - - - - 2829 3335 3841 4347
6363
6865 7367 7869 8370 8870
2372 2879
2930
3386 3892
3437 3943 4448
4397 4902
4953 5457
5406
5000
5910 6413 6916 7418 7919 8420
6463
6966 7466 7969 8470 8970
8920
50
- - - - - - - - - -- - ---0066 - -0118 - -0166 0218 0267 0317 0367 0417 0467 940018 2008 2504
3000 3496 3989 4483 4976 5469 5961 6452 6943 7434 7924 8413
8902 9390 9878
1064 1561
2058 2554 3049 3544
4038 4532 5025 5518 6010 6501
6992 7483 7973 8462 8951 9439 9926
2603
2653
3099
3148
2702 3198
3593 4088
3643
3692
0765 1263 1760 2256 2752 3247 3742
4137
4186
4236
2801 3297 3791 4285
4581 5074 5567 6059 6651 7041 7532
4631 6124 5616 6108
4680 5173 5665 6157 6649 7139 7630 8119
8560 8608 9048 9097
4729 5222 5715 6207 6698 7189 7679 8168 8657 9146
9536
9585
9634
0073 0560 1046 1532 2017 2502
1163 1660 2157
6600 7090 7581 S070
8022 8511
8999 9488 9975
---0414 - -0462 950365
-- -- --
0851 1338 1823
0900
1386 1872
0949 1435 1920
0024 0511 0997 1483 1969
2308
2356
2792 3276 3760
2841 3325
2405 2889
2453 2938
3373
3421 3905
3808
2'lIJT
3856
0121
0608 1095 1580
2066 2550 3034 3518 4001
2986 3470 3953
2306
1362 1859
2355 2851
3346 3841 4335
3890 4384
4779 5272 6764 6256 6747 7238 7728 8217 8706 9195
4828 5321 5813 6305 6796 7287 7777 8266 8755 9244
4877 5370 5862 6354 6845 7336 7826 8315 8804 9292
9683
9731
97SO
9829
0170 0657 1143 1629 2114
0219 0706 1192 1677 2163 2647 3131 3615 4098
0267 0754 1240 1726 2211 2696 31SO 3663 4146
0316 0803 1289 1775 2260 2744 3228 3711 4194
6403 6894 7385 7875
49
8364 8853 9341
-- - - - -- 2599 3083 3566 4049
PROPORTIONAL PARTS.
Dlff.
1
2
3
4
51
6.1 6.0 4.9 4.8
10.2 10.0 9.8 9.6
16.3
20.4. 20.0 19.6 19.2
50 49
48
15.0 14.7 14.4
_6_1_6_ 25.6 26.0 24.5 24.0
195
30.6 30.0 29.4 28.8
7
8
9
35.7 35.0 84.3 33.6
40.8 40.0
39.2
46.9 46.0 44.1 43.2
38.4
!'ABLE to.-LOGARITHMS OF NUMBERS. No. goo L. 9IS4.)
[No. 9« L.1I75.
,
6
4918 53VII
4966 6447
- - - - - - - - -- - - -•- -- -- - - - -goo - -954243 4291 4387 4435 4484 4532 4580 4628 4677 4339 N.
0
1 2 3 4 6 6 7 8 9 910 1 2
4725 5'1JJ1 Ii688 6168 6649 7128 7607
3 4 5 6 7 8 9 920 1 2 3 4 5 6 7 8 9 930 1 2 3 4 6 6 7 8 y 940 1 2 3 4
8086 8564 9041 9518 9995
1
4773
5255
5736 6216 6697 7176 7655 8134 8612
9089 9566
a
II
48611
4821
li303
636l 5832 6313 6793 7272
5784
6266 6746 7224 7703 8181 8659 9137 96H
7761. 8228 87m 9185 9661
6928
58SO 6361
MOIl 6888 7368 7847
6840
7320 7799 8277 8756 9232 9709
OOH 6496 1i876 6457
6936
7416 ~
8325 8373
7
8
9
0062 6643 6024 6006
6110 6592 6072 6553 7032 7512 7990 8468
6158 S640 6120 6601 7080 7669
6984
7464 7942 8421
Dill.
48
8038 8516
8803 8850 8898 8946 8994 9280 9328 9376 9423 9471 9767 9804 9852 9900 9947
- - - - - - - - - - - -- - - - - - - - 00012 0090 0138 0185 0233 0280 0328 8376 0423 960471 0946 1421 1896
2369 2!H3 3316 3788 4260 4731 6202 6672 6142 6611 7080 7548 8016 8483 8900 9116 9882
0518 0994 1469 1943 2417
0666
2890 3363
2937 3410
3835 4307 4778 5249 5719 6189 6658 7127 7595 8062 8530
3882
8996 9463 9928
2203
2666 3128 3590 4051 4512 4972
0393 0858 1322 1786 2249 2712 3174
3636
4097 4558 5018
2038 2511 2985 3457 3929 4401 4872 5343 5813 6283 6752 7220 7688 8166 8623 9090 9566
2464
4364 4825 5296 5766 6236 6705 7173 7642 8109 8576 9043 9509 9975
- - - ---10440 970347 0812 1276 1740
0613 1089 1563
1041 1616 1990
0709 1184 1658 2132
0661 1136 1611 2085 2569 3032 3504 3977 4448 4919
2606 3079
3562 4024 4495
4966
moo 1231 1706 2180 2653 3126 3599 4071
4542
5013 5484 5954 6423 6892 7361 7829
0804 0851 1279 1326 1753 1801 2227 2275 2701 2748 3174 3221 3646 '3693 4118 4165 4590 4637 6061 5108 5631 5678 6001 6048 6470 6517 6939 6986 7408 7454 7875 7922 8343 8390 8810 8856 9276 9323 9742 9789
0899 1374 1848 2322 2795 3268 3741 4212 4684 6156 6625 6095 6004 7033 7001 7969 8436
m19 1183 1647 2110 2673 3035 3497 3959 4420 4880 5340
m65. 1229 1693 2157 2619 3082 3543 4005 4466 4926
5390 5860
6437
6329 6799 7267 7735 8203 8670 9136 9602
6376 6845 7314 7782 8249 8716 9183 9649
0533 0997 1461 1925
0579 1044 1508 1971 2434 2897 3359 3820 4281 4742
0626 1090 1554 2018 2481 2943 3405
~
6248 6294
5907
8296 8763 9229 9695
47
8903
9369 9835
- - -- - - -0021 --0068- -0114-I0161 0207 0254 0300 0486 0951 1416 1879 2342 2804
0904
1369 1832 2295 2758
3220 3682
3266 3728 4189 4600 5110
4143 4604 0064
2388
2851 3313 3774 4235 4696 6166
3866 4327 4788
0672 1137 1601 2064 2527 2989 3451 3913 4374 4834
6386
46
PROPORTIONAL PARTS.
m'l ' I ' I · I · lil · I 47 46
4.7 4.6
9.4 9.2
14.1 13.8
18.8 18.4
23.6 23.0
196
28.2 27.6
7 32.9 32.2
8 37.6 36.8
II 42.3
.n.'
TABLE lO.-LOOABITHIlS OF NUMBERS. No. 945 L. 975.)
(No. 989 I,. 995.
• I --- -- --945- ---5524 --5570 - -5616- -5662- --975432 5478 5707 5753 5799 5845 N.
6
T 8 9 950 1 2 3 4 5 6 7 8 9 960 1 2 3 45 6 7 8 9 970 1 2 3 4 5 6 7 8 9 980 1 2 3 4 5 6 7 8 9
0
5891
6350 6808 7266 7724 8181 8637 9093
9548
1
I
5937 63116
6854
7312 7769
8226 8683 9138 9594
5983
6442 6900
7358 7815 8272 8728 9184 9639
II
i
0
6029 5488 6946 7403 7861 8317 8774 9230 9685
6075 6533 6992 7449 7906 8363 8819 9275 9730
6121 6579 7037 7495 7952 8409 8865 9321 9776
0640 1093 1547
- - - - -- - - 980003
0458 0912 1366 1819 2271 2723 3175 3626 4077 4527 4977 5426 5875 6324 6772 7219 7666 8113 8559 9005 9450 9895
0049 0503 0957 1411 1864 2316 2769 3220 3671 4122 4572 5022 5471 5920 6369 6817 7264 7711 8157
00II4
8604
8648
0140 0594 1048 1501 1954 2407 2859 3310 3762 4212 4662 5112 5561 6010 6458 6906 7353 7800 8247 8693 9138 9583
0549 1003 1456 1909 2362 2814 3265 3716 40167 4617 6067 5516 5965 5413 6861 7309 7756
8202
9049 9494 9939
9094
0383 0827 1270 1713 2156 2598 3039 3480 3921 4361 4801 5240
0428 0871 1315 1758
9539 9983
7
8
I
6167 6625 7083 7541 7998 8454 8911 9366 9821
6212 6671 7129 7586 8043 8500 8956 9412 9867
6258 6717 7175 7632
6304
0685 1139 1592 2045 2497 2949 3401 3852
0730 1184 1637
4302
4347 4797 5247
0776 1229 1683 2135 2588 3040 3491 3942 4392 4842 5292 5741 6189 6637 7085 7532 7979 8425 8871 9316 9761
0821 1275 1728 2181 2633 3885 3536 3987 4437 4887 5337 5786
DI1I.
,
6763 7220 7678 8135 8591 9047 9503 9008
8089
8546 9002 9457 9912
- - - -- - - - ---0185 0231 0276 0322 0367 0412 2000 2452
2904 3356 3807 4257 4707 5157 5606 60M 6503 6951 7393 7845 8291 8737 9183 9628
4752 5202 5651 6100
2090 2543
2994 3446
3897
6696
6548 6996
6144 6593 7040 7488
7443 7890
7934
&"tl6
8381
8782 11227 9672
8826
9272 9717
0561 1004 1448 1890 2333 2774 3216 3657 4097 4537 4977 5416
0605 1049 1492 1935 2377 2819 3260 3701 4141 4581 5021 5460
0867 1320 1773 2226 2678 3130 3581 4032 4482 4932 5382 5830 6279 6727 7175 7622 8068 8514 8960 9405 9850
6234
6682 7130 7577 8024 8470 8916 9361
45
- - - - - - - - - - -9806- - - - - - - - - 0028 0072 0117 0161 0206 0250 0294 990339 0783
1226 1669 2111 2554
2995
3436 3877 4317 4757 5196
0472 0916 1359 1802 2244 2686 3127 3568 4009 4449 4889 5328
2200
2642 3083 3524 3965 4405 4845 5284
0516 0960 1403 1846
2288
2730 3172 3613 4053 4493 4933 5372
0650 1093 1536 1979 2421
286.3 3304
3745 4185 4625 5065 5504
0694 1137 1580 2023 2465 2907 3.348 3789 4229 4669 5108 5547
0738 1182 1625 2067 2509 2951 3392 3833 4273 4713 5152 5591
44
PROPORTIONAL PARTS.
Dill.
1
2
3
5
6
23.0 22.5 22.0 21.5
27.6 27.0 26.4 25.8
4-
7
8
9
32.2 31.5 30.8 30.1
36.8 36.0 35.2 34.4
41.4 40.5 39.6 38.7
- - --- - - - --- - - - --- - - - - - - --- - - 46 45 44 43
4.6 4.5 4.4 4.3
9.2 9.0 8.8 8.6
13.8 13.5 13.2 12.9
18.4 18.0 17.6 17.2
197
TABLB IO.-LOGARITHMS OP NUMBEII8. No. 990 L. 996.)
•
N.
[No. 999 L. 999.
1
I
I
,II - - - -I- - - -
------ - - - - - 9110 1 2 3 4 5
995635 6074 6512
6949 7386 7823
6
8259
7 8 9
8695 9131 9565
6679 6117
6655 6993
7430 781j7
8303 8739 9174 9609
5723 6161
6599 7037 7474 7910 8347 8782 9218
9652
5707
6205 6643 7~
7517 7954 8390
•
7
S
II
5811 6249 6687 7124 7561 7998
158M 5898 5942 li986 6030 6380
6f24
6818 7255 7692 8129
7299 7736 8172
6468 6906 7343 7779 8216
8434
8564
8608
8652
9435 9870
9043 9479 9913
9M7 9522 9957
8826
8Ij69
9261
9305 9739
9696
Ii
198
6293 6731 7168 7605 8041 8477 8913 9348
8<m 8521 8956 9392
9783
9826
6337 6774 7212 7648
9000
6862
DUI.
44
43
TABLB 1l.-OONVBJWE1«JY OJ' ""''''UIS, SIX IIILK8 LOIfO AND SIX JULES APART, AND DIFFERENCES OF LATITUDE AND LONGITUDE. Convergency.
I
Lat. On the parallel. 0
Lu.
Angle.
,
Di1Ierence of longitude per range. In arc.
,
"
"
I
Difference of latitude lor-
In time.
1m!.
Seco1ld8. 22.00 23.15 23.35 23.56 23.78
0.871
5.229
0.871
5.225
25.39 25.70 26.03 26.38 26.75
0.870
5.221
27.14 27.54 27.97 28.42 28.89
0.860
5.216
ITp.
,
33.9 35.4 37.0 38.6 40.2
2 2 2 2 2
30 31 32 33 34
41.9 43.6 45.4 47.2 49.1
3 0 3 7 3 15 3 23 3 30
6 0.26 6 3.97 6 7.87 6 11.00 6 16.26
35 36 37 38 39
50.9 52.7 54.7 56.8 58.8.
3 3 3 4 4
38 46 55 4 13
6 6 6 6 6
40 41 42 43 H
60.9 63.1 65.4 67.7 70.1
4 4 4 4 5
22 31 41 51 1
6 47.06 6 53.15 6 59.56 7 6.29 7 l3.39
45 46 47 48 49
12.6 75.2 77.8 SO. 6 83.5
5 S 5 5 5
12 34 46 59
7 7 7 7 7
20.86 28.74 37.04 • 45. SO 55.05
29.39 29.92 30.47 31.05 31.67
0.869
5.211
50 51 52
6 12 .
8 8 8 8 8
4.83 15.17 26.13 37.75 50.07
32.82 33.03 33.74 34.52 35.34
0.868
5.207
54
86.4 89.6 92.8 00.2 00.8
55 56 57 58 59
103.5 107.5 111.6 116.0 120.6
7 25 .7 42 8 0 8 19 8 38
9 3.18 9 17.12 9 31.97 9 47.83 10 4.78
36.22 37.14 38.l3 39.19 40.32
0.867
5.202
60 61 62 63 64
125.5 130.8 136.3 142.2 148.6
8 9 9 10 10
59 22 46 11 38
10 10 11 11 11
22.94 42.42 3.38 25.97 50.37
41.52 42.83 44.22 45.73 47.36
0.866
5.198
65 67 68 00
155.0 162.8 170.7 179.3 188.7
11 11 12 12 13
8 39 13 51 31
12 12 13 13 14
16.82 45.55 16.88 51.15 28.77
49.12 51.04 53.12 55.41 57.92
0.866
5.195
70
100.1
14 15
15 10.26
60.68
0.866
5.193
25 26 27 28 29
53
66
25 32 39 46 53
5 5 5 5 5
23
6 25 6 89 6 54 7 9
I
44.34 47.20 50.22 53.40 56.74
20.78 25.53 30.52 35.76. 41.27
199
24.02 24.26 24.52 24. SO 25.08
TABLE It.-A.IIMtJ1'B8
fBB tANGINt TO ftB PARALLEL.
Lat.
1 ml.
25
89 69.6 69.6 69.6 69.5 69.6
89 69.2 69.2 69.1 69.1 69.0
89 58.8 58.7 58.7 6&.6 6&.6
89 58.4 58.3 58.2 6&.2 6&.1
89 58.0 67.9 57.8 57.7 67.6
89 57.6 57.5 57.4 57.2 67.1
30 a1 32 33 34
69.5 69.6 69.6 59.4 69.4
69.0 69.0 6&.9 68.9 68.8
6&.5 58.4 68.4 58. 3 58.2
6&.0 67.9 57.8 67.7 57.7
67.5 57.4 67.3 57.2 67.1
67.0 66.9 56.8 66.41 56.6
35 36 37 38 39
69.4 69.4 69.8 69.3 69. a
6&.8 68.7 68.7 68.6 68.6
6&.2 68.1 58.0 68.0 57.9
67.6 67.5 67.4 67.3 57.2
67.0 56.9 56.7 56.6 56.5
56.4 66.2 56.1 55.9 55.8
40 41
59.3 69.2 69.2 69.2 69.2
58.5 58.6 58.4 68.4 68. a
67.8 57.7 67.7 67.6 67.5
57.1 67.0 66.9 66.8 641.7
641.4 66.2 56.1 641.0 65.8
55.6 65.5 65. a 65.2 55.0
46 47 48 49
69.1 69.1 59.1 69.0 69.0
68.3 68.2 58.1 68.1 68.0
57.4 67.3 67.2 67.1 67.0
641.6 66.4 66.3 66.2 66.0
65.7 65.5 65.4 65.2 65.0
64.8 64.6 64.4 64.2 64.0
60 61 52 53 54
69.0 68.9 58.9 58.8 58.8
67.9 67. V 67.8 57.7 67.6
641.9 641.8 641.7 66.41 66.4
55.9 66.7 66.6 66.4 66.2
64.8 64.6 64..~ 64.2 64.0
63.8 53.6 53.4 53.1 52.8
65 66 67 58 69
68.8 58.7 58.7 58.41 58.6
57.5 67.4 67.3 67.2 67.1
66.3 66.2 66.0 55.8 65.7
66.1 54. 9 54.7 64.6 64.2
53.8 53.6 53.3 63.1 62.8
52.6 52. a 52.0 61.7 61.4
60 61 62 63 64
68.5 58.4 58.4 58.3 68.2
57.0 66.9 66.7 66.6 66.5
65.5 55.3 65.1 64.9 54. 7
64.0 53.8 53.11 63.2 62.9
52.5 62.2 51.9 61.6 61.1
51.0 50.6 60.2 49.8 49.4
66 66 67 68 69
58.1 58.1 58.0 67.9 67.8
66.3 66.1 55.9 55.7 55.6
54.4 54.2 53.9 53.6 53.2
52.6 52.2 51.8 51.4 61.0
60.7 50.3 40.8 49.3 48.8
48.9 48.4 47.8 47.2 46.5
70
89 67.6
89 55.3
89 52.9
89 50.5
89 48.1
89 45.8
. .
26 27
28 29
42
43 44
45
,
2ml.
or
.
,
amL
.
,
200
4 ml.
.
,
6 ml.
.
,
41 ml. 0
,
TABLE la.~'I'8ET8, IIIl LINn, no. TH1!l TANGJ!N'T TO THE PARALLEL.
~
1m!.
~
~
28 29
0 0 0 0 0
0 0 1 1 1
1 1 1 1 1
2 2 2 2 2
3 3 3 3 3
II
:.l 31 32 33 34
0 0 0 0 0
1 1 1 1 1
1 1 1 1 2
2 2 3 3 3
35 36 37 38 39
0 0 0 0 0
1 1 1 1 1
2 2 2 2 2
3 3
3 3 3
40 43 44
0 0 0 0 0
1 1 1 1 1
2 2 2 2 2
45 46 47 48 49
0 0 0 0 0
1 1 1 1 1
50 51 52 53 64
0 0 0 0 0
55
~
:?
4m!.
8 8 8 9 9
10 10 10 11 11
1%
5 5
6 6 6 7 7
4 4 4; 4 4
5 5 6 6 6
7 7 8 8 8
9 10 10 10 11
12 12
15 15
13 13 14
16 16 17
4 5 5 5 5
6
11
14
7 7 7
12
15 15
18 UI 19
T
8 9 9 10 10
3 4 4 4 4
5 5 6 6
10 11 11 11
14
6
8 8 8 8
9
12
16
20
24 24
2 2 2 3 3
4 4 4 4 5
6 7 7 7 7
9 9 10 10 10
12
16 17 17 18 19
20 21 22 23 23
1 1 1 1 1
3 3 3 3 3
II II II
Ii
15 15
19
20
24 25
5 6
8 8 8 8 9
16 16 17
21 21 22
26 27
66 67 58 59
0 0 0 0 0
1 1 2 2 2
3 3 3 4 4
6 6 6 6 7
9 9 10 10 10
13 13 14 14
18 18 19
23 24
15
20 20
26 %7'
29 :.l 31 33 34
60 61 62 63
0 0 0 0 1
2 2 2 2 2
4 4 4 4 5
7 7 8 8 8
11
21 22 23 24
28
13
16 16 17 18 19
2 2 2 2 3
5 5 5 6 6
9 9
13 14
9
15
69
1 1 1 1 1
10 10
70
1
3
6
11
Lat.
.
2m!.
- - -- - - - - - - 25 26 27
41
42
64 65 66 67
68
11 12
12
.3m!.
5m!.
~
6m!.
---- --------- 4 4
11 12 12
12
13 13
14 14
25
19
26
20
16 16
21 22 24
28 29 :.l 32
17
25
34
201
12 13 13 14
15 15
25
29 30
32
14
12
15
13 13
16 16 17
14
18 18 19
20 21
17 18 18 19
20 21 22 23 24 25
25
16 17
20 20
21 22 23 24 25
17 18 18 19
21 . 22 23
26 27 27
:.l 32 33 34 35
25 26 27 28 29
:.l 32 33 34 35
36 38 39
:.l 31 32 33 35
36 38 39
43
40 42
45 46 48 50
36
42
43 45 47 49 61
52 54 66 58 60
44 45 47 49 52
53 67 60 62
63 65 68
28
35· 37 38 40
37
39 40
28 29
55
26 27
28 29
40
42
71 74
33
42
34
54 57 59 62
66
65 68 72 75 79
85
42
44 46 48 60 53
44
66
69
84
100
36
as
40
78 81 90 94
TABLB U.-AnKIl'I'B8 OF THB SIXlANT.
0
25 26 27 28
1 mi.
Oml.
Lat.
0
,
811 58.8 58.7 58.7 58.6
0
,
2 mi.
0
,
89 59.2 59.2 59.1 59.1 59.0
89 59.6 69.6 59.6 59.5· 59.5 59.5 59.6 59.5 59.4 /ill. 4
29
58.~
30 31 32 33 34
58.5 58.4 58.3 58.2
59.0 59.0 58.9 58.9 58.8
35 .36 37 38 39
58.2 58.1 58.0 58.0 57.9
58.8 58.7 58.7 58.6 58.6
/iIl.4 59.4 59.3 59.3 59.3
40 41 42 44-
57.8 57.7 67.7 67.6 57.5
58.5 58.5 58.4 58.4 58.3
59.3 59.2 59.2 59.2 /ill. 2
~5
57.~
~6
49
67.3 57.2 57.1 57.0
58.3 58.2 58.1 58.1 58.0
59.1 59.1 59.1 69.0 /ill. 0
50 51 62 53 64
56.9 56.8 56.7 56.6 56.4
57.9 57.9 57.8 67.7 57.6
. 59.0 5(1.9 58.9 58.8 58.8
55 56 57 58
56.3 56.2 56.0 66.8 66.7
57.5 57.4 57.3 57.2 57.1
58.8 58.7 58.7 58.6 51\.6
66.6 66.3 66.1 64.9 64.7
57.0 56.9 56.7 56.6 56.6
58.5 58.4 58.4 58.3 58.2
64.4 64.2 53.9 53.6. 53.2
56.3 56.1 55.9 55.7
43
47 48
59 60
61 62
63 64 65 66 67 68 69
70
58.~
DeflectIon angle 6 mi.
3 mi.
, 90"
E.orW.
" " " " " " " " " " " " " " " "" " " " " " " " " " " " " " " " " " " " " "
.
" " " " " " "
" " " " " " " " " " " " " " " "
" "
" "
"
" " " " "
" " " " " "
" "
"
"
" " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " "
55.6
58.1 58.1 58.0 67.9 57.8
89 62.9
89 55.3
89 67.6
" " "
6m!.
5m!.
4m1.
3m1.
" " "
2 2 2 2 2
"
25 32 39 46 53
3 0 3 7 3 15 3 23 3 30 3 38 3 ~6 3 55 4 4 4 13 4 22 4 31 4 ~1 4 51 .6 1 5 12 5 23 6 34 6 46 5 59 6 6 6 6 7
12 25 39 64 9
7 7 8 8 8
25 42 0 19 38
8 9 9 10 10
59 22 46 11 38
11 11 12 12 13
8 39 13 51 31
14 16
TABLE u..-oFFSBT8,IN LINKS, I'BOII THI!ISBCANT TO THB PA1U.LLEL.
Lat.
omi.
~mL
1m!.
l~ml'l
2 mi.
2~m!.
-----0
25 26 ZT 28 29
2N. 2 3 3 3
1 N. 1 1 1
0
30
34
3 3 3 3 3
35 36 'if1 38 39
40
~I 2 S. 2 2 2 2
1
0 0 0 0
1 S. 1 1 1 1
1 S. 1 2 2 2
2 S. 2 2 2 2
1 1 1 1 2
0 0 0 0 0
1 1 1 1 1
2 2 2 2
2 2 2 2 3
2 2 3 3 3
4 4 4 4 4
2 2 2 2 2
0 0 0 0 0
1 1 1 1 1
2 2 2 2
2
3 3 3 3 3
3 3 3 3 3
4 4
5 5 5
2 2 2 2 2
0 0 0 0 0
1 2 2 2
2
3 3 3 3 3
3 3 3 4 4
3 4 4 4 4
5 5 5 6 6
2 2 2 3 3
0 0 0 0 0
2 2 2 2 2
3 3 3 3 3
4 4 4 4 4
4 4 4 4 II
50 51 52 53 54
6 6 6
3 3 3 3 3
0 0 0 0 0
2 2 2 2 2
4 4 4 4 4
4 5 5
5
II
6
M 56 57 58 59
7 8 8 8
3 3 3 4 4
0 0 0 0 0
3 3 3 3 3
9 9 9 10 10
4 4 4 4 5
0 0 0 0 0
5 Ii Ii
00
11 11 12 12 13
70
14N.
31
32 33
41 42 43 44 45
46 47 48 49
7
7 7
60 61 62
63
64 65 56 67 68
2
I
4 4 5
5
~
5 5 6
6 6 6
6
5
6
3 3 3 3 4
Ii
6 6 6
7 7 7
8
7 7 8 8 8
6 6
0 0 0 0 0
4 4 4 4 5
6 7 7 7 8
8 8 9 9 10
6N.
0
58.
8 S.
-----------6m!.
5
5~m!.
5 mI.
4~ml.
•
203
5
5
7
·10S.
6 6 7
9 9 9 10
10
11 S.
4 mi.
3~ml.
3mI.
TUU l'.-LlNMB8
Lat.
.,
Btatute milES.
Lat.
.,
Btatute milES.
Lat.
.
Btatute miles.
25 0 30 26 0 30 27 0
62.729 62.473 62.212 61.946 61.676
4730 48 0 30 49 0 30
46.818 46.372 46.922 46.469 46.012
25 26 27 28 29
68.829 68. 839 68. 848 68. 858 68.8611
30 28 0 30 29 0 30
81. 401 61.122 80.8:K1 80.648 80.254
60 0 30 51 0 30 62 0
44.552 44.088 43.621 43.150 42.676
30 31 32 33 34
68.879 68.890 68.901 68. 912 68.923
30 0 30 31 0 30 32 0
69.956 69.653 69.346 69.033 68.716
30
30 64 0 30
42.199 41. 719 41.236 40.749 40.259
35 38 :r1 39
68. 936 68. 946 68. 958 68. 969 68. 981
00 33 0 30 34 0 30
68.398 68. 071 67.741 67.407 67.068
55 0 30 66 0 30 57 0
39.766 39.270 38. 771 38. 269 37.764
40 41 42 43 44
68. 993 69.006 69.018 69.030 69.042
35 0 30 38 0 30 :r1 0
68.725 66. :r18 68.027 55.671 65.311
30 68 0 30 69 0 30
37.256 38. 745 38. 232 35.716 35.196
46 46 47 48 49
89.066 69.079 69.091 69.103
30
54.947 54.579 64.206 63.829
80 0 30 61 0 30 62 0
34.674 34.l5O 33.623 33. 093 32.680
50 51 52 53 54
69.116 69.127 69.139 69.161 69.163
30 63 0 30 64 0 30
32.025 31.488 30.948 30.406 29.862
65 66 57 58 69
69.175 69.186 69.197 69.209 69.220
29.315
80 61
69.230 69.241 69.251 69.261 69.271
38 0
30 39 0 30 40 0 30 41 0 30 42 0
I
Lenli!hs of degrees of emerldlnn.
Lengths of degrees of the parallel.
-
er .&aM er TBB BARTB'S 8URnCla.
63.448 63.063 52.674 62.281
51.884 61.483
63 0
30 43 0 30 44 0 30
61.078 60. tltlII 60.<1&7 49.840 49.419
M 0
45 0 30 46 0 30 47 0
48. 995 48. 567 48.138 47.700 47.261
30 68 0
4730
46. R18
28. 766 28. 216
30 66 0 30 67 0
38
62
27.661 27.106
63
M
69 0 30
26.548 25.988 25.426 24.862 24.297
70 0
23.729
30
64
69.054
69
69.281 69.290 69.299 69.308 69.316
70
69.324
66 67
68
Tbe lengths of degreES of tbe meridian are tebulated to correspond to tbe length of the arc of whlcb the tabulated latitude Is the middle. thus the quantity 68.99a, opposite latitude 40· 0' Is the number of miles between latitude 39· 30' and 40· 30'. n The above table Is an abridgment 01 a table published by the U. B. Coast and ~ .eodetlc Burvey based on the values of the Clarke spheroid.
204
UBLE 11.-npABIJ!(T TIBE OF SUNSET roK N. SUNRISE FOR S. DECLIN~TIONS.
DECLIN~TIO!(8.
OR
Latitude. Sun's Decl.
25°
,
A
0
6
23 27
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
° 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
20 21 22 23
..
0 2 4 6 7 9 11 13 15 17 19 21 23 25 27
29 31 33
35 37 39 41 43 46 47
30° A
6 6 6 6
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
..
0 2 5 7 9 12 14 16 19 21 23 26
28 31 33 36 38 41 43 46 49 51 54 57 58
35° A
6 6 6 6 6 6 6 6
..
U
3 6 8 11 14 17
20
6 23 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7
25
28 31 34 37 40
43 46 49 53
66 59
2 6 9 11
40° A
'"
6 0 6 3 6 7 6 10 6 13 17 6 20 6 24 6 27 6 31 6 34 6 38 6 41 6 45 6 48 6 52 6 66 6 59 7 3 7 7 7 11 7 15 7 19 7 23 7 25
.,
4,5° A
6 6 6 6 6 6 6 6 6 6 6 6
8
...
0 4 8 12 16
20 24
28 32 36 41 45 49 53 58 2 7 11 16 21 25 30 35 40
6 6 7 7 7 7 7 7 7 7 7 7 43
.
Latitude.
Suo's Dec!. ° 0 1 2 3 4 5 6 7 8 9
, 0
10 11 12 13 14 15 16 17 18 19
20 21 22 23 23 27
50° A
6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8
55°
...
0
5
10 14 19 24
29 34
39 44 49 54 59 4 9 14
20 25 31 37 43 49 55 2
5
A
6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8
..
0 6 11 17
23 29 35 40 46 52 58 4 11 17
23 30
37 44 51 58 5 13 21
29 33
60· A
6 6 6 6 6 6 6 6 6 7 7 7 7 7 7
..
0 7 14 21
28 35 42 49
66
4 11 19 26 34 42 7 51 7 59 8 8 8 17 8 26 8 36 8 47 8 58 9 9 9 15
65° A
6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8
.
0 9 17
26 34 42
52 0 10 19
29 39 48 59 9 ~
8 32 8 44 8 57
9 9 9 10 10 10
10 25 42 0
22 34
70·
•
6 6 6 6 6 6 7 7 7 7 7 8 8 8
.
0 11 22 33 44
66 7 19 31 43
66
9 23 37 8 53 9 10 9 28 9 48 10 13 10 44 12 00
T~BLE
18.--VONVBRSION OF DBGKBBS TO TillE, UB TillE TO DEGRBE8. To red uce degrees to time.
0
-
,
H.M.
0
-,- - - --M.S. M.S.
--- ----" B.T. " B.T. - --- -- ---
I 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 ~ 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 60
0 0
o
4 8 12
~ ~
0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3
24 28 32 36 40 44 48 52 66 0 4 8 12 16 20 24 28 32 36 40 44 48 52 66 0 4 8 12 16 20 24 23 32 36 40 44 48 52 66 0 4 8 12 16 20
51 52 53 54
55 66 57 68 59 60 61 62 63 64 65
66
67 68
69
70 71
72 73 74
75 76 77
78 79 SO 81 82 83 84
85 86 87 88 89 90
91 92
93 94 95
96
97 98 99
100
To reduce time to degrees.
H.M.
3, 24
3 28 3, 32 3 36 3 40 3 44 3 48 3 52 3 66 4 0 4 4 4 8 4 12 4 16 4 20 4 24 4 28 4 32 4 36 4 40 4 44 4 48 4 52 4 66 5 0 5 4 5 8 5 12 5 16 5 20 6 24 5 23 5 32 5 36 5 40 5 44 5 48 5 52 5 66 6 0 6 4 6 8 6 12 6 16 6 20 6 24 6 28 6 32 6 36 6 40
M.
J
-101 102 103 104 105 106 107 108 109 110 115 120 125 130 135 140 145 150 165 160 165 170 175 ISO 186 100 195 200
205 210 215 220 22.'; 230 235 240 245· 250 265 260 270 280
200
300 310 320 330 340 350
360
.; !
~0
l!oS"
~)l
644 648 662 666 7 0 7 4 7 8 7 12 7 16 720 740 8 0 820 840 9 0 920 940 10 0 1020 1040 11 0 1120 1140 12 0 1220 1240 13 0 1320 1340 14 0 U20 1440 15 0 1520 1540 16 0 1620 1640 17 0 1720 18 0 1840 1920 20 0 2040 2120 22 0 22 40 2320 24 0
~
l
~
-
B.
T.
- 1- --1 15
206
1}ji 2
22~
2 30 3 4 2~ 37~ 45 3 5 6 3~ 52~ 4 60 7 8 4~ 67~ 76 5 9 5~ 82~ 10 90 6 11 6~ 97~ 12 105 7 13 7}ji 112}ji 14 120. 15 8 8}ji 127~ 16 135 9 17 9~ 142~ 18 10 150 19 10}ji 157~ 20 21 165 11 11~ 172~ 22 12 180 23 12}ji 187~ 24 195 25 13 13~ 202~ 26 210 14 27 14~ 217~ 28 225 15 29 15}ji 232~ 30 240 31 16 16~ 247}ji 32 17 255 33 17~ 262}ji 34 270 18 35 18~ 277~ 36 19 285 37 19~ 292~
20 2O}ji 21 2131 22 2231 23
38
300
39 30731 40 315 41 322~ 42 330 43 337~ 44 345 45
23~ 352~
24
360
,
, M. --, , B. " " --- -- --" '" T. " '" --0
0
1-
46
47 48 49 50
--015 030 045 1 0 1 15 1 30 1 45 2 0 215 230 245 3 0 315 330 345 4 0 4 15 430 445 5 0 515 530 545 6 0 615 630 645 7 0 7 15 730 7 45 8 0 815 830 845 9 0 9 15 930 945 10 0 1015 1030 1045 11 0 11 15 11 30 1145 12 0 12 15 1230
51 52 53 54
55 66 57 68 59
60 61 62 63 64 65 66 67 68 69 70 71 72
73 74 75 76 77 78 79 SO 81 82 83 84
85 86 87 88 89 00 91 92 93 94
95
96 97 98 99
100
12 45 13 0 13 15 1330 1345 14 0 1415 1430 14 45 15 0 1515 1530 1645 16 0 16 15 1630 1645 17 0 17 15 1730 1745 18 0 1815 1830 1845 19 0 19 15 1930 1945 20 0 20 15 20 30 2045 21 0 21 15 21 30 21 45 22 0 22 15 2230
2245 23 0 23 15 2330 2345 24 0 2415 2430 2445 25 0
TABLE 11I.-SlDEKBAL CONVBKSION8. "
Longitude. O· 0'
2° 30'
5° 0'
0
10
20
7° ,30'
10· 0'
12· 30'
15· 0'
40
50
60
Minutes. Long.
Hours.
. 0 15 30 45
m
8
19 29
0 1 1 1 1
51 1 11 20 30
0 1 1 1 1
53 2 12 22
1 1 1 2 2
38 48 58 8 18
1 1 2 2 2
40 50 0 10 19
1 1 2 2 2
2 2 2 2 3
28 37 47 57 7
2 2 2 2 3
20
49 59 9
3 3 3 3
17 27 37 46
3 3 3 3
18 28 38 48
105 120 135
0 0 1 1 1
49 59
150 165 180 195 210
10 11 12 13 14
225 240 255 270
15 16 17 18 19
300 315 330 345
20 21
285
22 23 Hours.
8
o o o o
5 6 7 8 9
90
m
2 11 21 31 41
o o o o
75
8
o o o o
0 1 2 3 4
60
m
30
0
.
0 10 20 30 39
U
0
39
0
3 13 23 33
43
m
0
8
5
0 15
o o o
25
34
44
8
7 16 26 36 46
m
o o o o
m
o o o o
18 28 38 48
o o o o
56 6 15 25 35
0 1 1 1 1
57 7 17 27 37
0 1 1 1 1
0
8
0
&
m
8
0 10 20 30 39 49
54 4 14 24
32
0 1 1 1 1
34
0 1 1 1 1
.42 52 1 11 21
1 1 2 2 2
43 53 3 13 23
1 1 2 2 2
45 55 5 15 24
1 1 2 2 2
47 56 6 16 26
2 2 2 3 3
31 41 51 0 10
2 2 2 3 3
33
42 52 2 12
2 2 2 3 3
34 44 54 4 14
2 2 2 3 3
36 46 56 5 15
2 2 2 3 3
37 47 57 7 17
3 3 3 3
20 30
3 3 3 3
3 3 3 3
23
32 41
33
3 3 3 3
25 35 45 55
3 3 3 3
27 37 46
40 50
22
51
43 53
.
59 9 19 20 38
1 48 58 2 8 2 18 2 28
56
Bldereallnto mean solar time: To be subtracted from a sidereal time Interval: Argument hours and minutes of sJdereallnterval. Mean Solar Into sidereal time: To be added toa mean time Interval: Argument hours and minutes of mean time Interval. Upper culmination of Polaris: Amount to be subtracted from tbe Greenwich mean time of upper culmination of Polaris, or of elOngation! to obtain the local mean time of upper culmInation, or of elongation: Argument long tude west from Greenwich. The above table Is an abridged mean of two tables given In the American Ephemeris and Nautical Almanac for similar conversions; reductions Involving II refinement exceeding 0.8 seconds must be made from the more elaborate tables.
207
T.lBLB ••-.BAW BBPltACI'ION8 IN nInTH DISTAWCB. B~.=29.6
!ftftBn!nt t tude.
°
,
RefractIon.
,
"
7 30
6 53
Ins.
~Bn!nt
t1tude.
°
12
,
0
4 2S
40
46
12 30
37
13
0
30
13 30
10
27
14
20
15
14 30
8 60
g
0
!ftftBn!nt t tude.
Refraction.
0
,
2S
2
15
26
1 68
5
Z1
53
3 56
28
48
47
29
44
39
30
40
"
4
0
"3
8
15
0
32
32
32
2
15 30
25
34
25
5 55
0
19
36
19
16 30
13
38
14
7
30
40
Refraction.
,
7 60 8
"- F. Temp.=50°
6
0
49
16
10
43
17
40
9
20
38
17 30
3
1
42
4
80
32
18
0
2 56
44
1
40
26
18 30
51
4&.
0 56
g 60
21
19
0
46
(8
52
16
19 30
42
60
48
6
20
0
37
55
4C!
4 57
21
0
29
60
33
0
48
22
0
22
65
Z1
20
40
23
0
15
70
21
32
24
0
9
80
4 25
25
0
3
90
10
0 20
10 40 11
11 40 12
0
6
0
2
0
10 0
0
SUN'S PARALLAX IN ALTITUDE. Apparent altitude .. • .. ····•• .. 1 0° I Sun's parallax ................ 8".9 I
208
630 26° I
8"
48° I
6"
4"
1
77° I
2/1
90° I
0"
TilLE !t.-tOEFI'ICIENTS TO APPLY TO MEAN REFRACTIONS FOR VARIATIONS IN BAROMETER AND TEMPERATURE.
Barometer.
Elevatlon above sealevel.
Coetllclent.
Barometer.
Elevat100
above sealevel.
Coetllcleat.
Temperature (Fahr.).
Coetllcleot.
.
- - -- - -- - - - - -- - - - - - - - ---1m.
1m.
FUll.
Feet.
30.5
.... 451
1.03
25.4
4,535
0.86
-24
30.2
-181
1.02
25.1
4,859
.85
17
1.15
30.0
00
1.01
24.8
5,186
.84
-9
1.13
1.17
29.9
+ 91
1.01
24.5
5,518
.83
0
1.11
29.6
366
1.00
24.2
5,854
.82
+8
1.09
29.3
643
.99
23.9
6,194
.81
16
1.07
29.0
924
.98
23.6
6,538
.80
25
1.05
28.7
1,207
.97
23.3
6,887
.79
35
1.03
28.4
1,493
.00
23.0
7,239
.78
40
1.02
28.1
1,783
.95
22.7
7,$7
.77
45
1.01 1.00
27.8
2,075
.94
22.4
7,960
.76
IiO
27.5
2,371
.93
22.1
8,327
.75
55
.99
27.2
2,670,
.92
21.8
8,700
.74
60
.98
26.9
2,972
.91
21.5
9,077
.73
66
.97
26.6
3,277
.90
21.2
9,460
.72
77
.95
26.3
3, Ii86
.89
20.9
9,848
.71
88
.93
26.0
3,899
.88
20.6
10,242
.70
100
.91
25.7
4,215
.67
20.3
10,642
.69
114
.89
25.4
4,535
.86
20.0
11,047
.68
128
.67
Any tree refraction either In Zflolth or polar dlBtaIIcfJ-tebDlated refractIon X coeftlclent for barometric pressure X coetllclflnt for temperatW'fJ. The dl1ferences between the tree and the tebDlated refractIons are' geJlflI'IIIIy small and generally negligible excepting for the combined ell!lct of low apparent altitude of observation with hIgh elevation above sealevel or extremes of temper&tW'fJ.
414'19-10---14
TABLE Illl.-COEI'I'ICIII:NTS I'OR COMPUTING ERBOBS IN .lZIIIUTH DUE TO SMALL ERROBS IN DECLINATION OR LATITUDE, TABULATED FOR l' ERROBS. '"
Hours from noon. '
Lat, --0
25
30
.
35
, ! , ,
40
45
50
.. ' 55 : 60
65
70
,t
2
3
4
6
Ii
2.21
1.56
1,27
1.14
1.10 '
Lat.
1.91
1.10'
0.64.
0.30'
0.00
{Decl. !,at.
2.31
1.6.'l
1:33
1.2D
1.15 :
2.00
1;15
0.67
0.81
0.00!
C~
2.44
1.73
1.41'
1.26
1.22 '
1.22
0.70
0.33
0.00
{Dec\.
2.61
1.85
1.51' '
1.35
, !,at.
2.26
1,31
0.75-
(1.36
eel
2.83
'2:00
1.63
1.411,
1.41
2.45
:1.41
0.82
0.88
0.00 :
3.11
2.2D
1.80
1.61
1.56 :
2.69
1.56
0.90'
0.42 '
0.00
3.49
2;47
2.01
1.80
1.74
'3.02
1.74
1.01
'0.4'1'
' -4.00
2;83
2.31
,2.07"
2.00,
3.46
:a. 00
1.15
o.M
0.00 ,
•. 73
3.35
2.73
2.45
2.37
..10
2.87
1.37
0.63
0.00'
3.38
' 3.03 '
2.92
1;69,
0.78
0.00
eeL
t
Lat.
.
,{Decl. , Lat. eel
Lat.
•
tee\. I:.at.
: ;
eel
, Lat.
t
2.11
.
{Decl. , I,at.
t
;
,
:
"
I
&.85
4.13
&.06
7·92
'
'
,
1.31
,
0.00
0.00'
The coeffie\entslor noon became In1InIte1y large. Direction of errors In azimuth from true'sonth: To the east-In the a. m., to the west In the:p. m.J.,atltude set or _ e d to the N. of the,true latitude, noon to six hours, Latitude set or assumed to the S. of the true latltllde, beyond six hours; Declination set or assumed to the S. of the true deellnation, all hours. To the west In the a. m" to the east In the p. m.Latitude set or assumed to the S. of the true latitude, noon to six hours. Latitude set or assumed to the N. of the true latitude, beyond six hours. Declination set or assumed to the N. of the true declination, all hours. The error Is considered as the erroneous fixation of the south point.
,~.no
r· ••.•
TABLIl U.-JlEAN BEFBACTlONS IN POLAR DJSTANCB. Bsr.-29.6lns. Temp.-roo F.
Hours from ':15°0' 27° 80' 30° 0' noon.
, 0 2 3 4 6 6
. • "
Latitude. 25° 0' 27° 30'
DecI.-23° 27' N;
"2
0 0 6 0 8 0 20 0 44 2 7
,
"
0 0 7 0 12 0 23 0 f9 2 9
0, 0 0 0 0 2
7
10
16 27 53 10
0
8 0 0 16 0 0 28 0. : 1 49 2
11 11
0 0 0 2
10 13 19 31 0 62
0 0 II 0 0 2
3
4 6
0 0 0 0 1
161 19 26 37 10
0 0 0 0 1
24 28 34 50 33 1
0 22 181 028 042 1 17
o 13 o .16 o 23 o 35 1 6 2 65
, 6
0 2 3 4 5
I'
0 0 0 0 0 11
11 17 29
55 16
, 0 0 0 0 0 :l
10 14 19 31 69 15
0 0 0 0 1
24 22 0250 28 18102110 35 28 0 31 " 41 0 46 0 51 17 1251 33
0 0 0 0 1
0 0 0 0 1
27 31 38 65 42 1
0 0 0 0 1 3
13 16
22
35 6 19
0 0 0 0 1 3
0 21 26 0'7 1 24
16 19 26 39 10
030 0 34 0 42 1 0 1 53 1
0 40 037 38 042 0 '7 0 46 050 0 56 1 331 4 1 11 1 1 19 2 41 2 6'223
0
0 0 0 1 2
9 14 25 50 29
,
0 0 0 0 0 2
,
"8
0 0 0 0 1 2
11 17 28 65 31
"10
14 20 32 0: '33
13 16 22 34 4
'9
0 0 0 0 1 3
16 19 25 38 11 63
o 18 0,22 o 29 o 43 1 ,17 3 67
25 028031: 2110241027 31 "34 0 ,,38 46 0 61 0 66 25 133 142' Decl._2° 30' S.
0 33 0 38 0 47 1 6 2 5
,0 0 0 0 1
Decl.-7" 30' 8.
«)
"5
Deci.-5° 0' N.
Declo-O· 0'. 30 34 42 1 53
DecI.-20· 0' N •
Decl.- 12· 30' N.
22
becl.-5~ 0' S. :
5 8 13 26 61
"8
Decl.-7° 30' N.
1132
027 0 0 31 0 038 0 0651 1431 1
0 0 0 0 0 2
,
0 0 0 0 1 3
0 0 0 0, 0 3
Decl.-2° 30' N, 0 2 3
3 6 10 22 46 12
"
26· 0' Zlo 80' 30° 0'
Decl.-15° 0' N.
Decl.-l0· 0' N. 0 2
,
, "
DecL-17" 30' N. 0 ,2 3 4 6 6
30° 0'
Decl.-22° 30' N.
30 34 41 69 62 1
033 0 0 38 0 0 46 0 1 5 1 2 5 12
Dect-l0·
44 42 0 46 0 51 37104010 49 0 55 1 1 10 1 18 1 27 20 2 43 3 6
0 0 0 1 2
(J'
37 42 61 12 20
8.
46 0 60 0 65, 4010'41048 63 1 ,0 1 7: 17 1 26 1 36" 3935336
:
Decl.-12" 30' S. 0 2· 3 4
0 0 0 1 1
0 2 3 4
0 1 1 1 2
4~
441°~10
50 58 24 51
065 1 1 5 1 1341 2 9 2
Decl.-15 ° 0' S. 6,3 0 13 46 28
0 0 0. 1 0 1 48105310 1 4 1 12 1 1 31 1 43 1 2 2 2 23 2
9 18 37 28 47
1 3 1 11 1 25 2 4 2 53
4~
1 3 1 11 1 27 2 8 3 3
1 1 1 2 3
6
20 57 47
Decl.= 22° 30' S,
DecI.- 20· 0' S. 58 5 18 52 30
Decl.-17· 30' 8. 58
1 1 1 2 3
211
9 18 3., 23 34
1 1 1 2
!
'TT'
069151'12, 1 11 1 19 1 28 1'0154211 2 14 2 40 3 13, Decl.-23° 27' 8.
15 26 46
48 4 31
1 6 1 13 1 28 2 10 3 11
1 1 1 2 3
12 20 38 32 57
1 1 1 2 5
18 29
60 58 0
TABLE n.-MEAN REFRACTIONS IN POLAR M8TA.NCII:. Bar.-29.61ns. Temp.-50" F.
--Latitude. Hours from 30° 0' noon.
, 0 2 3 4 5 6 6~
0 0 0 0 0 2 4
32" 30'
~"
0'
37" 30'
40° 0'
42° 30' 45" 0'
47" 30' 50·0'
Declination of the sun, 23" 27' N.
"7 10 16 27 53 10 35
, 0 0 0 0 0 2
,
"9 13 19 30 TiT 11 14
, 0 0 0 0 1 2 3
"
12 16 22 34 0 11 57
,
,
"
0 Iii 0 19 0 2li 0 ~ 1 2 11 3 44
,
0 0 0 0 1 2 3
"
18 22 28 41 7 11 33
,
"
20 24 31 .5 11 2 11 3 23 0 0 0 0 1
,
"
0 23 0 27 0 ~ 0 49 1 14 2 11 3 15
,
"
0 0 0 0
28 30 38
3
7
0 0 0 0 1 2 3
27
29 36 51 16 17 23
27 32 39 55 24 53 36 7
0 0 0 0 1 1 2 3
30
30
0 0 0 1 1 2 2
33 38 '7 4
53
1 17 2 11
,
"
0 0 0 0 1 2 3
29 34 '1 Ii6 20 12 0
0 0 0 0 1 2 3
30 35 43 08 23 18 7
0 0 0 1 1 1 2 3
33 38 48 2 31 08 36 49
0 0 0 1 1 2 2
37
0 0 0 1 1 2 3
40 '7 li7 14 51 26 30
Declination orthe sun, 22" 30' N. 0
2
3 4 5 6
6~
0 2 3
, 5 5~
6
6~
•
17 38
0 0 0 0 1 2 4
13 17 23 35 2 17 17
0 0 0 0 1 1 2 Ii
13 16 23 35 4 32 34 40
0 0 0 0 1 1 2 5
16 19 26 39 8 37 34
0 0 0 0 0 2 5
8 11 17 29 55 16 3
0 0 0 0 0 2
0 0 0 0 1 1 2 6
10 14 20 32 0 27 33 12
10 14
20 32 59
0 0 0 0 1 2 4
16 20 26 39 6 17 1
0 0 0 0 1 2 3
18 23 29 43
10 17 47
0 0 0 0 1 2 3
21 28 32 47 13 17 34
0 0 0 0 1 2 3
24
32 40 55 20 17 14
Declination orthe sun, 20" 0' N.
14
0 0 0 0 1 1 2 4
18 22 29 43
12 41 35 52
0 0 0 0 1 1 2 4
21 25 32 47 16 45 35 34
0 0 0 0 1 1 2 4
24 28 35 51
20 49 36 19
0 0 0 0 1 1 2 4
~
43 59
28 Ii6 36 TiT
Declination of the sun, 17° 30' N. 0 2 3
, 5
5~
6
5 37 55
0 0 0 0 1 1 2
16 19 26 39 10 C 56
o o o o
16 19 26 39 10 48 22
0 0 0 0 1 1 3
18 22 29 44 16 53 24
0 0 0 0 1 1 3
13 16 23
0 0 0 0 1 1 2
35
0 0 0 0 1 1 3
18 22 29 43
1 14 1 46 2 56
0 0 0 0 1 1 2
21 25 32 47 19 51 57
0 0 0 0 1 1 2
24 28 36 51 23 55 08
0 0 0 0 1 2 2
27 31 39 55 27 0
59
0 0 0 1 1 2 2
35
43 0
32 4
59
~
7
59
C 52 7 40 10 Il9
DeclIn&tlon of the sun, 15° 0' N. 0 2 3 4 Ii
5~
6
21 25 33 48 21 58 25
0 0 0 0 1 2 3
24 28 36
52 26 3 26
0 0 0 0 1 2 3
212
27 31 40 56 31 8
27
0 0 0 1 1 2 3
30 M 44 0 36 13 28
0 0 0 1 1 2 3
33 38 48 Ii .1 18 28
0 37 0 C 0 1 1 2 3
li2 9 46 22 29
TABLE !8.-.IAN REFRACTIONS IN POUR DISTA.NCB. Bar.-29.6Ins
Hours from noon.
Latitude. 30"0"
, 0 2 3 4 6 5~
6
Temp.-50' F.
0 0 0 0 1 2 3
"
18 22 29 43 17 0 57
32' 3fT 35°0'
, 0 0 0 0 1 2 4
37" 30'
40'0'
42· 30'
411°0'
47° 30'
50·0'
Declination of the 8IID, 12' 30' N.
"
21 25
32 47 23 6 0
., " o 24 o 28 o 36 o 52
1 29 2 12 4 4
, 0 0 0 0 1 2 4
,
"
27 31 40 56 35 18 6
0 0 0 1 1 2 4
"
30 34 44 1 40 24 7
, 0 0 0 1 1 2 4
"
33 38 48 6 46 30 8
, 0 0 0 1 1 2 4
"
37 42 52 11 51 31' 8
, 0 0 0 1 1 2 4
"
40 46 57 16 57 41
,
"
0 0 1 1 2 2 4
44 51 2 21 4
1 2 1 23 2 11 3 6 5 8
0 0 1 1 2 3 5
48 56 7 29 19 13 9
25 20 29
0 0 1 1 2 3
48 56 8 32 29 39
0 1 1 1 2 3
53 1 13 38 38 48
48 06 8 33 40 10
0 1 1 1 2 4
53 1 14 41 51 23
0 1 1 1 3 4
58 6 20 48 2
0 53 1 1 1 14 1 43 3 5 5 9
0 1 1 1 3 5
58 6 21 52 19 28
1 1 1 2 3 5
28
10
46
11
Declination of the sun, 10· 0' N. 0 2 3 4 6
5~
6
0 0 0 0 1 2 4
21 25
32 47
24
14 50
0 0 0 0 1 2 4
24
51 31 22 64
0 0 0 0 1 2 4
0 27 0 31 It 39 0 56 1 40 2 41
0 0 0 1 1 2
43 1 48 52
tl 0 0 1 1 3
0 0 0 1 2 3
33 38 48 7 0 18
28
35
27 32
39 56 38 30 68
0 0 0 1 1 2 5
30
35 44 1 45 38 1
0 0 0 1 1 2 6
33 38 49 7 51 45 3
0 0 0 1 1 2 6
37 42 53 12 57 52 5
0 0 0 1 2 2 5
40 47 57 18 4 59 6
0 44
0 51
Declination of the sun, 7° 30' N. 0 2 3 4 5 5~
0 0 0 0 1 2
24 28
35
51 33 31
30
35
0 0 0 1 1 3
33 38 48 7
50 2
0 0 0 1 2 3
3'( 42 53 13 4 11
0 0 0 1 2 3
40
46
58 19 12 20
0 0 1 1 2 3
44 51 2
Declination olthe 8IID, 5° 0' N. 0 2 3 4 5 5~
0 0 0 0 1 2
27 31 38 56 42 53
30 34 43 1 51 5
0 0 0 1 2 3
37 42 53 13 10 31
0 0 0 1 2 3
40 47 58 19 20 44
0 0 1 1 2 3
44 51 3 26 30 57
0 0 1 1 2 4
35
Declination of the SUD, 2° 30' N. 0 2 3 4 5 5~
0 0 0 1 1 3
30 34 42 1 53 21
0 33 38 0 47 1 7 2 3 3 37
()
0 0 0 1 2 3
37 42 52 14 14 53
0 0 0 1 2 4
40 46 58 29 27 11
0 0 1 1 2 4
218
44
51 3 27 39 29
0 0 1 1 2 4
48 56 9
35
52 49
3 12 1 33 47
TABLE H.-DAN BEI'RACTIONS IN POLAR DISTANCI!l. Bar.=29.61ns. Temp.=.'iO" F. - ----
...
Hours from noon. , 30" 0'
Latitude.
32"3Q'
35" 0'
,
37" 3C1
40"0'
42",30'
I
0 2
3 4 4Y2 5
0 0 0 1 1 2
"
33 38 47 ' 6' 26 5
I
II,
0 37 0 42 0 52 1 13· 1 35 2 18
I
0 0 0 1 ,1 2
"
40 47 57 21 44 32
I
II'
I
0 0 1 1 1 2
44 51 3 28 54 47
0 48 0 56 1 ~ 1 36 2 4 3 Z
"
t
.,,\
0 1 1 1 2 3
53' 1 15 45 16 '19
, \' II
0 1 1 1 2 3 _ i
~
58 7 '21 54 29 37
,,~
I'
1 1 1 2 2 3
3 13 28 4 4256
Declination of the sun, 2" 30' B. 0 2 3 4 4Y2 5
0 0 0 1 1 2
37 42 51 12 34 20
0 0 0 1 1 2
40 46 57 20 45 36
0 0 1 1 1 2
44 51 2 28 56 54
0 48 n 56 1 8 1 37 2 8 3 13
0 1 1 1 2 3
53 1 15' 46 21 32
0 1 1 1 2 3
DeclInation of the sun, 0 2 '3 4 4~
5
0 0 0 1 1 2
40 47 56' 19 44
41
0 0 1 1 1 2
44 51 2 28 57 59'
0 0 1 1 2 3
48 56 8 37 10 22
0 1 I, 1 2 3
53 1 14 47 24 47
0 1 1 1 2 4
58 7 21 58 40' 15
1 1 1 2 2 4
58 7 22' 57' 34 55'
1 1 1 2 2 4-
46
.. '
,
"
1 9 1 18 1 31\ 2 16
2 55
4 10
3 13 29 8 50 20
1 9 1 201 31' 2 20 3 7 4., 47 -
1 1 1 2 3 5
15 '31 46 34
25 16
0 0 I1 1 3
44
51 I 27: 56 6
0 0 1 1 2 3
48, 55 8 37 11 30
0 1 1 1 2 3
53 1 15 47 27 59
0 1 1 1 2 4
58 6 22 59 44 34
1 1 1 2 3 5
3 13 30 12 4 13
1 1 1 2 3 5
9 20 38 28, 27 57-
1 1 1 2 3' 6
15 1 22 28 1 36 48, 1 59 40 2 57 40 4 6 2 6 52
1 15 1 28 1 48 2 45' 3 536 45
1 1 2 3 4'
22 37 0- ' 4' 26
0 48 0 55 1 71 36 -~ 11
0 1 1 1 2
53, '0 58 0 1 6 14 1 22 47, 1 59 2' 47 28
1 1 1 2 3
3 12 30 13 10
1 1 1 2 3
214
9 19 39 30 36
1 1 1 2 4
15 27 49 49 8
1 1 2 3 4
I
,
·· I
,! :
!,
, ,I i
·! t
~ 1 30
i
46
2 1Il 3 27 5 4 :
;
,Declination of the Bun, 10· 0' B. 0 2 3 4 4Y2
·i
I
Declination of the SUD, 7" 30' B. 0 Z 3, 4 4Y2 0
;
I
-
9 20 38 25.' 17" 21'
1 1 1 2 3 5
,, !
I
;
o· 0' g,. 3 13 29 11' 57
m"O'
47" 30"
45" 0'
DeclbmtiOll or the SUD, 0" 0'.
22 36 1 10 44-
1 1 2' 3
30 46 15 36: 5 30
1 1 2 4 6
40 58 31 7 28
T.lBLlI H •...;.IIIilAN RDBACI'IONS IN POLAR DISTANCE. Bar.-29.6Ins. Temp.-50° F: ...
Hours from noon.
0 II 3 '4
,4~
...
.----
.
,,'
Latitude. 30"0'
, :
-- --
_-
"
0'
63 1 0 1 13 } 46 2 28
32°80' '35"0'
37~
40"0'
42°30'
'45"0'
~
3
3~
4
4~
!
0 2 3
,~
0 1 1 1 1 2
58
,
6 20
,
34 57 47
11 12 3 1-28 1 43 2 11
58 6 21' 59
49
3 12 28 45 14 15
I
1 1 1 2 3
1 1 '1 1 2 3
,
I I 11 1 1 2
"3
13 ,30 14 13
I
1 1 1 2 3
"9 20 39' 31' 44'
I
1 1 1 2 4
"
15
27' 50'
52'.'
20
I
1 1 2 3 5
I
"
22 :36 ' 1'
16 5
199 37 57 ,31
9 20
38 57
33 47
1 15 1 1 2 2 4
2S 49 12' 55' 29
1 1 '2, 2 ,3 5
22 36 2 29 20 20
1 .1 2 2 3 6
!
1 I, 2 3 6
,
0 2 3 3~
4
Ii
I
"
30 46 16' 43 ;0
1 1 1 2 2
15 28 48 12 55 1
122 1 37 ,2 1 2 29 3 ,23 1
1 1 2 2 3 57
fi,[
11 2 3 4,
1~
I' 21 2 3
46 3O[ 16 50 56
1 21 ,3 ,4.
58 40[ 35 17 47,
12 2 3 5
Declination Of the spa;
, ;
,i
,
0 2 2~
3
3~
4
15'
216
34 46, 7 48
1 '22 1 35 1 45
,I 59, :1 25 ,3 19
1 30 1 45 1 &1 2 15, 2' 48 3 ',57
'ID" ~
1 57 2 12 2'11 '2 !8 ,2 34 2 ,57 .3 'IS' 3 '5l'. 4 46' 5' 56
1 2 2 3 5
58 34 12 30
..
2
2~
3
3~
4
1 1 1 1 2 2
18 29 36 50 15 58
1 251 39 1 49 2 6
2 33 3 32
l' 1 2 2 2 4
34 50 3 23 58 17
1 « 2 3 2 IS 2 44 3 32 :; 14
1 2 2 3 4 6
55" IS 37 9 12 45
;
3
i
3 2(j 21' 6
!
2 26
"
,
I
"
!b:1 '01'
~' ~.
,.
1
12 50 58 51 '58,
2" 3" 2 29 2 49 3 26, 4 38:I
..
,"j I . "v
9" 37. 1 43 4
,.
,
:n !, " , ;
18 2 26 21 48 3 22' 4 04' .2S: Ii 2"I, 6 "56, :
1 50 '40 58 [ 2 12 35 2 57 15 3 42', 5
i I
i I
! "
37 2 29 3 [ 2 47 , 17 .3 26 4 0 4 54 4 a6; li3O: 7, 1,
zr 3!Y S.: '.
2'" 2 3 3 li
, : , ; ,, .," i
~
50 10 54 42 IS '
'.;
2'18' 2 49 3 16 ,4 4 5,,:43;
I
,
I
,
!
I I
~
3 13 3 63 3 50 4. 32 ""] ,4 56. i6 10 '
Declination of the sj,m, ?!,,?;I' ~.'
I0
"
" 1 40 11 50 1: "57· 2 11, 2 33' Z 52 419: 5 ~
40
Declination of the sun; 11° 30' S:'
1 1 15 [ 1 36 1 11 27 1 37 [ 1 47 2 22[ o 1 54 2 10 2 29 2 28' 2· 52 3 21
,I' 1 1 ,I 2 2'
1 1 2 3 4
30 46 '16 48" 52 2S
DecUnation cif the san, 20° ;
; I
"
0 1 1 1 2
1 1 1 1 2 ~
,
Declination of the SlID, 12° 30'S.
Declination of the SlID, 15° iY S. ' 0
' 50"0"
47"30'
Il' ''25:' 2 3 0- .3 a 31 4 4 27 6 6 26
,
" "
,,
I I
!
:
'46' 28 11 26
Ii
3 1~ A .10. 5 9 7 1
'l'nUII.-DAN aDtiC'l'I()N8 IN HILla ......lIM1L Ber.-28.81D8. Temp.-liO" F. Hours
from noon. 50" 0" 62" 80'
, 0 2 3 4
5· 6
0 0 0 0 1 2
"
29 34 41 58
20 1~
o 30 0.35
0 2 3 4 6 6
o
0 2 3 4 6 6
0 0 0 1 1 2
33
0 2 3 4 5 6
0 0 0 1 ' 1 2
37 42
o
43 68
1 23 2 18
LatItude. 66"0' 67" 10'
80" 0' 82" 10'
86·0' 87" 10'
Declination of the BUD, 23· '¥T' N.
, 0 0 0 0 1
"
32
37 44 59
23 2 12
.
,
" o 35
o o
41
48
1 2 1 26
2 12
,
, "
0 0 0 1 1 ~
39 .44 52 5 29 12
0 0 0 1 1 2
"
42 48 58
9 32 12
,
0 0 1 1 1
"
48 62
0 13 35 2 12
, " o 51
o
57 1 5 1 18 1 38 2 1~
, 0 1 1 1 1 2
"
58
1
9
22 41 12
70" 0'
,
"
1 1 1 1 1 2
1 6 14 26 44
1 1 1 1 1 2
:I 8 16
12
DecUnaUon of the BUD, 22" ao' N •
0 0 0 1 1 2
33
0 0 0 1 1 2
37
38 48
1 26 18
0 0 0 1 1 2
37 42 50
4 29 18
0 0 0 1 1 2
40 45
54
7 32
18
0 0 0 1 1 2
44 49 68
11 35 18
0 0 1 1 1 2
48
63
2 15
38
18
0 0 1 1 1 2
53 68
7 20 42
18
0 1 1 1 1 2
68
3 11 24 45
18
28 48
18
DecUnation of the BUD, 20" 0' N. 38 48
2 31 36
42 51 6 34 36
0 0 0 1 1 2
40
48
66 10 38
36
0 0 0 1 1 2
44 50 69
14 41
36
0 0 1 1 1 2
48
54
3 18
45
36
0 0 1 1 1 2
68 68
8 22 49 36
36
1 1 1 1 1 2
1 3 1 9 1 20 1 88 2 7 2 69
1 1 1 1 2 3
0 1 1 1 1 ~
68 3
13 '¥T
63
3
9
18 32
57 37
1 1 1 1 2 2
9 15 24 38
1 37
Declination of the SUD, 17" 80' N.
62 7
40 69
0 0 0 1 1 ~
40
48
66 12
44
69
0 0 1 1 1 2
44 50
0 17 48 !ill
0 0 1 1 1 2
48
54
4 21 62 69
0 0 1 1 1 2
63 69 II
26 67 69
0 1 1 1 2 2
68
4 14 31 2 !ill
Declination of the BUn, 16" 0' N. 0 2 3 4 6 6
0 0 0 1 1 3
40 47 57 14 51 30
0 0 1 1 1
a
44 61 1 19 58 30
0 0 1 1 2 3
48 55
6 24 1 30
0 1 1 1 2 3
63
0 10 29
6 30
0 1 1 1 2 3
218·
68
6 15 35 12 30
1 1 1 1 2 3
3 10 21 41 17 30
1 1 1 1 2 3
9
16 28 47 23 30
1 1 1 1 2
a
16 22 33 49 15 0
T
16 26 42 11
1 1 1 2 3
15 23 35
1 1 1 2 2 3
o
54 28
31
22
ao
43
1 34 31
'I'ABLB II.-MBAH Ut'lLlC'l'IOH8 IN POLAR Dl8TANCB; Bar.-29.6Ins.
Latitude.
Hours rrom noon.
Temp.-50· F.
SOo 0'
..
62° 30'
MOO'
67" 30'
60"0'
62" 30'
65°0'
67° 30'
70· 0'
Declination or the SUD, 12· 30' N.
, "
,
0 2 3 4 6 6
0 0 51 1 2 1 21 2 4 4 11
0 0 1 1 2 4
" 48
,
, "
"
56 7 'rl 10 12
0 1 1 1 2 4
53 1 12 32 16 12
0 2 3 4 6 6
0 481 0 53 0 1 1 1 12 1 1 1 35 2 2 26 5 9 f>
0 1 1 1 2 6
58 7 18 42 34 10
0 2 3 4 5
0 1 1 1 2
0 2 3 4 5
0 1 1 1 49 3 2
0 2 3 4 6
1 1 1 2 3
0 1 1 1 2 4
58 6
17 38 22 12
, "
1 1 1 1 2 4
3 11 22 45 29 12
, 1 1 1 1 2 4
"9 17 29 52 35 12
, "
, "
, "
1 1 1 1 2 4
15 23 37 59 42 13
1 1 1 2 2 4
22 30 45 7 49 13
1 1 1 2 2 4
30 39 64 16 57 13
22 32 47 14 7 11
1 1 1 2 3 6
30 41 56 24 16 12
1 1 2 2 3 6
40 50 6 34 26 12
~I
1 1 2 2 3
50 62 40 112 3 9 2 21 .. 2 57 53 4 6
1 2 2 3 4
3 4 12 2 18 50 27 2 40 10 3 27 42 6 1
Declination or the sun, 10" 0' N.
~I
il
1 1 1 1 2 5
3 12 24 49 42 10
1 1 1 1 2 6
9 18 31 57 50 10
1 1 1 2 2 6
15 25 39 5 58 11
1 1 1 2 3 5
Declination or the sun, 7° 30' N.
5~
0 1 1 W 1 26 1341 1 12 1 31191115112211 1 ~ 1 0 1 5 0 1 59 1 19 1 1 25 1 45 1 53 2 2 2 11 2 21 2 32 2 47 2 67 3 7 3 17 3 28 3 40 Declination or the.sUD, 6" 0' N.
~I ~I
1 1 ~ 1 26 1 35 1.. 1 911161122113011 1 43 1 52 2 2 2 1 34 2 5 2 16 2 28 2 41 2 3 2 6 3 3 9 3 5 3 4 8 4 24
~I dl
1 1 1 2 4
1 1 1 2 4
1 1 1 2 5
1 1 1 1 3 14
nl
Declination or the sun, 2" 30' N.
0 2 3 4 6
1 1 1 2 4
1 1 1 2 12 3 50
9 18 36 16 16
16 26 45
29 38
25 1 34 1« 1 M 2 1511221130114011 44154262182 21 2 34 2 49 3 6 3 6425445575 Declination 22 34 M 43 2
1 1 2 2 6
30 43 7 58 29
or the SUD, O· 0'. 1 1 2 3 5
217
40 64 20 16 59
1 50 2 6 2 35 3 36 6 ~
~I
2 3 2 20 2 53 4 0 7 13
2 2 20 2 4831 3 « 6 o
2 18 2 37 3 5 4 8 6 31
2 2 3 4 7
2 37 3 1 3 39 5 3 8 53
18 38 14 28 59
TABLE M.-TRIOONOMHRIC PORMUL.4.8 FOR THB SOLUTION 0 .. PLANB TRIANGLES.
Let A - angle BA C- arc BF,and let the radius AF= AB = AH= 1We then have . H Jr G . sin A ~BC cos A = AC tan A =DF rotA - HO sec A
_AD
cosecA -AO . verslnA ~ CF- BE covers.A - BK = HL exsecA = BD coexsec A = BO chordA ... BF chord 2 A - BI- 2BC
In the rlght,angled triangle AB C LetAB - c,A C- b,and BC- a. We then have: 1. sIn A
a c
,2. rosA
c-
3. tan A
b
4. rotA
a
5. seeA6. cosec A
b
a b
c
b c a
Flo 1.'
=cosB
11. a- csln A - b tanA·
=slnB
12. b=ccosA-acotA
- cotB
13. c- sin A - cos ...
- tanB
14. a- ccosB- bcotB
= coseoB
15. b - c sin B - a tan·B
= seeB
16. c =cosB-sinB
a
a
b
b
7, ·vers A
c-b - -c- - covers B
17. a - ..J (c+b) (c-b),
8. exsec:.d.
c-b - -b- - ooe:l9ec B
18. b- ..J(c+a) (c-a)
9. covers A
c-a - -c-= verslnB
19. c - ..J a'+b'
JO. ooexsec A . - ~ a - eXsec B
20.
21. area -
ab ""2
211··
C- 90°- A+B
T.&81.E U:-TBIGO.OIlETBIC YO&MULA.S I'OB 'I'UII SOLllTIOII OF PLAN. , TRIANGLES. ;. SOLUTION
or
OBLIQUE TRIANGLBB.
B .
'
•
..
,
,
.
.
.
. ,
C
..
..
.
6
A
C
FIG. 2.
GIVEN.
A,B,a
22.
FORIlULA.
BOUGHT.
.C,b,e
..,
-
...
II
C_I80 0_(A+B),
'.
b- sln A' sin B,
.
e-Si:"" sin (A +B)
sinB-8~.b,
'.':
. D-1800-(A+B),
23
.A,II,b
B, C,e
~
C,CJ,b
~(A+B)
~(A+B)_900_%
25
~(A-B)
a-b tan ~(A -B)~ a+b tan ).i(A +B)
26
A,B
II
c-Si: A . sin C.
'.
·n
e
..
area
28
'29
a,b,e
A
cos ~(A+B)_' • e=«Hb)cos %(A-B) ";o'+fJJ-2 II b cos C area- % " b sin C.
~(a+b+e); sin ~ A-.J(8-b~ ~8-e)
cos J,2 ;'=.J8(8-"); tan
30 r,I"
C
A-~(A+B)+~(A-B), B_~(A+B)-~(A-B)
Let _
.
:.
).2 A_.J(8-b)(8-e)
b.e,
. 8(8-a)
sin .A_ 2 ";8(.-a) (. b) (, . e); . be
'31 ",
cos A= fJJ+cL-o'
.'
2be
32 33
.A:B, e,G '.
.,
area
are.-,,;.(.
area
_OSslnB,alnO ., ,.allDA .
219
a) (.-b) (. e)
,
~.
.'
TABLE 1!5.-TBIGONOMBTBIC FORMULAS FOR THE SOLUTION OF STA.U MEASUREMENTS, OBSERVATIONS FOR TIME, LATITUDE AND AZI. MUTH, AND PROBLEMS IN CONVERGENCY.
NOTATION.
"mE
EPBElfEB.JS."
"Ephemeris of the Sun and Polaris, and Tables of Aslmutha of Polaris," prepared under the direction of the Commissioner of the General Land 01l!ce. "~": The symbol for approximation.
"11." Observed vertical angle; In altitude observations on the sun, the reductions to thl' sun'scenter both vertically and horizontally, as well as Instrumental errors, are ellml. nated by taking direct and reversed observations on tbe opposite 11m bs of the sun, and the mean observed vertical angle to the sun'scenterls to be considered .. ~" In the notation. In single observations the vertical reduction to tbe sun's center= 16'; a retlnement Is bad by referring to the Ephemeris for the value of the sun's semldlam. eter for the date of observation. "A." True vertical angle to tbe sun's center,or to Polaris, In altitude observatlons,after correction for refraction: 1-1>- refraction In zenitb distance: a refinement Is had In altitude observations on tbe sun by adding the value of tbe sun's parallax = 8".9009 v, opposite Inetrect to refraction.
He."
Zeta: True IlIIIIlth dlstalHle of the sun's center. C=OOo-l.
Pbl: Latitude of the station of observation. Lambda: Longitude of the station of observation.
"I." Delta: Declination of tbe sun or Polaris; to be taken from the Ephemerl9 for the date of observation; the declination of the sun Is to be corrected In bourly dlllerence to tbe longitude of the station and to the time of observation: north declinations are treated 88 positive and south declinations as negative; a nOl'therly bourly motion Is treated as positive and asoutherly hourly motion Is treated as negative; In tbe use of the solarattaebment the declination of tbesun Is to be corrected for refraction Inpolar distance, alw~ys north. .
"A." Admuth angle from tbe true meridian to .Polarls, or to the sun's centl'r; in the following analytical solutions" A" Is referred to the north point unless otherwise modltled, and the reductions are symmetrical eltber east or west of the meridian; all determinations for ulmutb Imply the recording of borlzontal angll'S from a tlxed reference point to Polaris or to the sun, or a point marked on the ground to define the direction of observation, the mean borlzontal angle, or the mean point In dJreo. tloo, being used In the determination; In single observations on the sun, the reduo16' tlon to tlIe sun'. center In asImutla -iiiiiV; a refinement In the value of thlBUD'alleDlldiameter Is bad by referring to the Ephemeris for the date of obeervatloo.
220
SIGNS OF TRIGONOMETRIC FUNCTIONS.
Cosinea
Tangents and
Cotangents 90·
flO"
180~O. ID~O. ~W
W
210·
-90·
-90"
Z10· or
0'-
FIo.3. STADIA MEASUREMENTS.
Ror. dis.: The true horir.ontal distance from the center olthe Instrument to the rod. DIU. elev.: The true vertical dlstanee from the height of the Instrument to the center point between the two targets oC the rod. . ",": Vertical rod reading. "K": The wire Interval or ratio, to be determined In the fleld by frequent tests under working conditions In comparison with steel tape measurement, solving the formula given below for" K," hor. dis. knoWD.
"e": Distance from the center of the Instrument to the object glass. "/": Distance from the plane of the cross-wil"l!8 to the object glass. Ror. dis. = K r COs'1I + (c + f\ cos II • . Dill. elev. - K r ~ sin 2 0 + (c + /) sin o. In public land surveying It Is con venlent to have flxed stadia wires with Ii ratio of 1:132 so that the 8um of two rod readings In feet will be equivalent to a ratio of 1:66, or a reduced distance In chains; It Is also convenient to reduce the error In the wire Interval to the error In 10 cbs., and to eliminate the error by applying to the reduced distance the proper amount taken Crom the table of proportional parts. With a ratio of 1:100, using a rod graduated to links, the elimination of the error In the wire Inter· valls conveniently made In the same manner. With a ratio ofl:l00, uslnga rod gradnated to feet, the red uctlon Is slmpllfled by determining the logarithm of the true " K," rod In feet and horizontal distance In chains units, accomplishing the reduction of K , cos2 0 by logarithmic functions.
TIME.
C1mllerrion of lta1id4,d tlflll! Into local _ n tlme.-Watch reading ± watch error In standard time by oomparlson ± correction for longitude; the correction for longitude Is additive east and subtractive west of the standard meridian of the time belt; the conversion table" degrees to time" 18 convenient In this reduction. C1moerl/on a/apparent time Into local _ n tlme.-Appsrent time of observation ± the equation of time; the equation of time Is to be taken from the Ephemeris for the date of observation and corrected for the longitude and time of observation, convenIently Interpolated 88 the Interval from Greenwich noon to the time of observation;
221
the watch error In looal mean time Is then found by taking the dijference between the watch reading at the epoch of the observation and the reduced local mean time of observation. Local mean time of upper culmination of Polaru.-The GreenwiCh mean time of upper culmination of Polaris la to be taken from the Ephemeris for the date of observation; the amount to he Bubtracted from the Greenwich mean time of upper culmination of Polarill to obtain the local mean time of upper culmination of Polaris, In which the argument Is tbe longitude west from Greenwich, Is obtained from the table of sidereal conversions without computation. ",,", Lota{mean time of e~ation of Po/aru.-T)le mean time of elongatiQn of Polaris, Greenwich meridian, latitude 40', Is to be talien from'tlle Ephemeris for the date of observation; the amount to be subtracted from the mean time of'elongation of PoJaris, Greenwich meridian, latitude 40', to obtain the mean time of elongation of Polaris, local meridian,latitude 40', In which t~e argument Is the longitude west from Greenwich, Is obtained from the table of si<;lel'elLl conversions withflQt CJ)mputation. The amount to apply to the local mean time of elongation of Polaris latitude 40' to obtain the local mean time of elongation of Polaris latitude of observation Is tabulated in the Ephemeris In connection with the table of azimuths of Polaris at elongation. Conversion of a mean time inUrval into a ridereal lime interval, or vice versa.-The amount to apJlly to one time Interval to obtain the other tiJne Interval Is obtained from the table of sidereal conversions without computation. ' Hour angles of Polaru.-A mean tIme hour angle of Polaris West of the meridIan 18 the mean time Interval from the local mean time of upperculininatlon of Polaris 'to the local mean time of observation of Polaris; a mean time hour angle of Polaris east of ,the meridian is tb,e mean time Interval from the local mean time of observation of 'Polaris to the local mean time of upper culmination of Polaris. " ' , Mean time /lnur angle of Polaru at elongation.-"t ,,='tbe sidereal hour angle In lingular measure, thIs converted into time measure, and this in turn converted'from a sidereal tlme'interval Into a mean time interval gives the mean time hour angle of Polaris at E!longation: Cos t= cotan 8 tan '"
Altitude ob6ervation of flie sun for apparent tlme.-" t"=hour angle from appanmt noon In angular measure; reverse the signs of "8" for south declinations: , !sin ~ sin ~ t--v cos! (C+¢+8)cos i (C+<;>-8)
Tan t
(C-¢+8; (C-¢-8)
Meri4i4n ob$ermtion oflbe sunfor apParent noon.~With the telescope In the merldl&Delevated to the sun's altitude, the watch times of transit of the sun's west Ilnd east limbs are noted, the melln 01 which Is the watch time of apparent noon; If the observation falls for either limb the reduction to the sun's center Is accomplished by adding or subtracting 68 seconds; a refinement in the amount of this time is had by referring to the Ephemeris for the time of the sun's semidiameter passing the merldlan for the date of observation; the setting for the approx,lmate altitude of the suo's eenter I..: , V~I!O'-<;>±8
LATITUDE.
Meridian altitude ob&ervation of tlu sun fqr latltude.-Revarse the sign ''SOuth declinations: ¢-90H-h
of "8"
for
This observation Is conveniently combined with the merIdIan observatIon of the sun lor time, observl!lg simultaneously the sun's lower 3ncl west limbs, rooording the watch time and the vertical anglo and reversing in the Inwrval of about 21 min-
,222
utes, and observing simultaneously the sun's upper and east limbs; the setting!! for the approximate altitudes of the sun's low~r and upper limbs, respectively,. are: v~90'-.p±~'flO'
AUitude ob.ervatlon 0/ Polaru at upper culmination lor latittode..p-h+~-90'
Altitudeoo.ervati01l 0/ Polaru at lower culmination/OT /atittode.-The mean time hour
angle of Polaris at lower culmination Is 11 hours 58 minutes 2 seconds: . .p-h+90'-~
The settings for the approximate altitude of Polaris at upper and lower culminations, respectively, are: v~±(90'-~)
AZIMUT1l:. AUitude ob3trvation 0/ tile nfl/OT azimuth.-ReverseOthe signs of
"~,,
for 8Oi1th
declinations:
lcos y, (C+.pH) sin y, (C+.p ~) Tan y, A--V cos y, (C .p ~) sin y, (C .pH) The spherical angles "C," ".p," and "8" appear In this equation combined as In the formula for the reduction of an altitude observation o( the sun for apparent time, ond when It Is desired toreduce for both time and azimuth, the above equation for azimuth Is to be preferred to any that follow. Altitude observation 0/ the sun/or azimulh.-For south declinations the function "sln~" becomes negative by virtue of the sine of oa negative !LIllIe being treated as negative In analytical reductions: If the algobralc sign of the result Is positive the azimuth" A" is referred to the north point, but If negative, the azimuth" A" Is referred to the south point: sin 8 Cos A~cos .pCOll h - tan.p tan 11 0
The above equa~on Is very convenient In reducing for azimuth only. Amtude ob3ervationo/ thuun /OT azlmuth.-To many surveyors the followlt..g equa-
tion Is familiarly expressed directly in terms of the spherical trlangle"pole-zenlthsun": reverse the sign of "~" for south declinations: Pole to zenlth-90'-<jI=colat.; Pole to sun =90'-~ =codecL; Zenith to sun=90'-h=coalt.; B= y, sum of the thnle sides: Isin B sin (B-codecl.) Cos y, A=-V sin coIat. sin ooalt. Equal aUitude ob3ervatlom 0/ the tun/OT meridlall.-The sun's center at equalaltltudes occupies symmetrical positions In azimuth east and west of the meridian In the morning and In the afternoon except for the correction necessary to be applied due to the cha!ige In the sun's declination In the Interval between the a. m. and p. m. 1>bservatlons: "Il A~": Correction In azimuth In minutes of angular measure to be applied to the mean position In azimuth to obtain the true south point; the correction Is to be applied to the east with a northerly hourly chango In declination, or to the west with a southerly hourly change. "d It": Change In declination of the sun from the a. m. to the p. m. observation, expressed In minutes of angular measure.
223
~
"('1+")": The 911111 of the hour angles from apparent noon, or the total watch time from the a. m. to the p. m. observation, expressed In angular measure. ~d~
d A~=cos .p sin ~ (11+1.) The symmetry of the equal altitude observation Is preServed by ol>Bervlng opposite limbs In azimuth In the a. m. and p. m. observations, In connection with theaame 11mb In vertical angle In both observations. Wlth"~ d 8" and"~ (h+t.)" calculated, the computation can be concluded by applying to "~ d 8" the declination coefficient obtained by entering the table of coefficients for computing errors In azimuth due to small errors In declination, arguments: ".p" and"~ (t.+t.)!' AzimutA of Pol4rl8 at e/onqat/OII.Sin A- cos IJ cos.p A table of azimuths of Polaris at elongation, for latitudes from 25° to 70° N., appears In the Ephemeris, arguments: .. ~" and ".p." Azimutll of Pol4,u al an, hour a",,~.-"I"-sldereal hour angle In angular measure; In hour angles exceeding 90° the function" -sin .p cos t" becomes positive by virtue of the cosine of an angle between 90° and 270° being treated as negative In analytl(lal rednctions: sIn t Tan A- cos .p tan ~ sin ~ cos I
A table of azimuths of Polaris at all hour angles, for latitudes from 30° to roo N., appears In the Ephemeris, arguments: "~," mean time hour angle, and ".p!' For other than the above latitudes the surveyor will be required to perform the above analytical solution, accomplished by the following process: convert the usual mean time hour angle Into sidereal hour angle, and convert the sidereal hour angle Into angular measure to obtain ,. t" for the above equation. Polarl8 at .,.mel or .,.nrl8e.-Polarls Is conveniently observed for azimuth by the hour angle method at sunset or sunrtse without &rtl1lclallllwnlnatlon; the preparation for the observation consists In computing In advance the approximate settings In azimuth and altitude In order to tlnd Polaris, and the plan contemplates an approximate reference meridian: with the time of sunset or sunrtse IISSUmed as the time of observation, the hour angle "I" and azimuth" A" are determined In order totlnd the position of Polaris In azimuth; the position In altitude Is found by the following approximation, the posItive sIgn beIng used for hour angles less than 6 hours, and the negative sIgn for hour angles exceeding 6 hours: ~~±70'
cost
CONVERGENCY OF MERIDIANS. "mA ": Measurement along the parallel.
""'1'.": Measurement along the meridian.
"a' : Equatorial radIus of the earth- 3963.3 miles- BOX3963.3 chain&. "e": Factor of eccentricity, log e-8.915 2515. "dmA ":' Linear amount of the convergency on the parallel, of two meridians dJ&. tanceapart "ml ,"and distance "mq,"alongthe meridian: udm,l ," limA ," "m.. "and "II" to be expressed In the same unit:
__ .
.t-
.. -
~
mAm.p
;._~,:,,:~tan~
Ot"-
-'.'
0
"
0,'-
224
I'---~~
-v1-.2sln • .p
t 0/
'!'HIS BOOK 18 Dt7E ON 'l'KE LAB'!' DAft 8TAMPED BELOW
AN INITIAL FINE OF
2~
OENTS
I'OtIt 'AI LUlU: TO ,.;ETURN
=
--
--
--
---------------1-------------
_____-----------l------------~· j
LU U - I OO .. ·7:U
--
"
,YA C65bO
.,
LIBRARY OF THE
UNIVERSITY OF CALIFORNIA. GIFT OF
"
Class
~
,
.'
I
,
I
I
I
I
·,
,
I
i I
I i
I
-I
,I
u· s
GENERAL LAND OFFICE
TABLES AND FORMULAS FOR THE USE OF
U. S. SURVEYORS AND ENGINEERS ON
PUBLIC' LAND SURVEYS A SUPPLEMENT TO THE ·MANUAL OF SURVEYING INSTRUCTIONS
COIIPILED UNDER THE DlREcr'lON 01"
FRED DENNETT COIIIIIBSIONER OF THE
GENE~
LAND OFFICE
?
WASHINGTON i
<
I
QOVERNIIENT PRINTING OFFlCIl
1910
United States surveyors and engineers, and all others who may find It convenienl to use the tables Included In this vol\lIDe, are req uested to report to the Commissioner of the General Land Ollice, Washington, D. C., any errors detected In the tables as printed.
2
CONTENTS. No. Page. 1. Units of linear mea.sure, units of area. expansion of steel tapes, and conversion tables chains to feet and feet to chains.............................. 5 2. Reduction in latitude to south boundary of township, and corrections tor con vergency within a townshi p .......•. _. • • .. . . • . . . . . . . . . . . . . . . . . . . . . . 6 3. Traverse table, for the correction of random lines. . . . . . . . . . . . . . . . . . . . . . . . . 7 4. Traverse tables........................................................... 8 5. Correction of error In stadla wire Interval. • . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 6. Stadla coefficients, vertical rod............................................ 99 7. Natural sines and cosines,.. ... ........................................... 106 8. Natural tangents and cotangents.......................................... ll5 9. Logarithmic sines, cosines, tangents, and cotangents ...•........... :...... 127 lO. Logarithms of numbers................................................... 172 ll. Convergency of meridians, and difierences of latitude and longitude....... 199 12. Azimuths of the tangent to the parallel................................... 200 13. Offsets from the tangent to the parallel. . . . . .• ........................... 201 14. Azimuths of the secant ..•••.•.......... : ...................... " .. .. . . . . . 202 15. Offsets from the secant to the parallel. .. . . . . . . . . .. . . .. .. •. . . . . . . . . .. . . . .. . 203 16. Lengths of arcs ofthe earth's aurface •....... : . . . . . . . . . . . . . . . .. . . .. .. . .. . . . 204 17. A pparent time of sunrise and sunSet; .••. : .. '............ .'. . . . . . . . . . . . . . . . . 205 18. Conversion tables, degrees to time, and time to degrees................... 206 19. Sidereal conversions, and reductions to the locsl mean time of upper culmination of Polaris. _...................................................... 207 20. Mean refractions In zenith distance ..•••.•.......•..............•...••• _.. 208 21. Coefficients to apply to mean refractions for variations In barometer and temperature............................................... ••••.••••.••• 209 22. Coeftlclents for computing errors In azimuth, due to small errors In decllna. tlon or latitude. _. . •.•••.. .. .. .. . . . . . . . . . . ... . .. .. . . . .. . . . . .. ...... ... . . 210 23. Mean refractions In polar distance.. .. .. ... .. .. .. .. . .. . . .. . . .. .. .. . . . . . . . . . 2ll 24. Trigonometric formulas for the solution of plane triangles................. 218 25. Trigonometric formulas for the solution of stadia measurements, observations for time, latitude, and azimuth, and problems In convergenoy..... 220
Standard Field Tables. TABLE t.-UNITS OF MEASURE, ETCl. UNITS OF LINEAR MEASURE.
UNITS OF AREA.
1 &cre= 10 square chalns. - 43,500 square feet. 1 square mfl_ 640 acres.
1 cha1n= 100 links. - 66 foot. 1 mfle - BOohalns. - 5,280 feet.
EXPANSION OF STEEL TAPES.
The coe1Ilclent of expansion of steel tapes=O.<XXXXl65 for 1· F. CONVERSION TABLES.
Chaim to feet. 1 2 3 4 5 6 7 8 9 10
Feet to chains. 100
66 132 198 264 330 396 462 528 594 660
:ro 300
400 500
600 700 800
900 1,000
Lina to feet. 1 2 3 4 5 6 7 8 9 10
1.51515 3.03030
4.54546
6.06061 7.57576 9.09091 10.60606 12.12121 13.63636 15.16152
Feet to lina.
0.66 L32 1.98 2.64 3.30
1 2 3 4 5 6 7
3.96
4.62 5.28 5.94 6.60
8 9 10
5
1.5 3.0 4.5 6.1 7.6 9.1 10.6 12.1 13.6 15.2
TA.BLE 2.-REDUCTION IN LATITUDE TO SOUTH BOUNDARY OF TOWNSHIP. Miles.
Cbs.
0 10 20 30 40
50 60
70 80
~_O~ ~_1_1 __2~ __3_ _ _4_ _ _5_ ,
,
,
,
,
,
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.8 0.9
0.9 1.0 1.1 1.2 1.3 1.4 1.6 L6 1.1
1.7 1.8 2.0 2.1 2.2 2.3 2.4 2.5 2.6
2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.4 3.5
3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3
4.3 4.4 4.6 4.7 4.8 4.9 5.0 5.1 5.2 ~~--
CORRECTIONS FOR CONVERGENCY WITHIN A TOWNSHIP.
Lat.
. .
25 to 30 30 to 35 35 to 40 40 to 45 45 to 50 50 to 55 55 to 60 60 to 66
M to 70
1m!.
2ml.
3ml.
,
-~~
0 1 1 1 1 1 1 2 2
1 1 1 2 2
,
4ml.
1 2 2 2 3 3 4 5 6
2 3 3 4
2 2 3 3 4 5 5 7 8 -
6
5m!.
--------, , , 2 3 3 4 5 6 7 8, 10
TABLE IJ.-TRAVERSE TABLE FOR THE CORRECTION OF RANDOM LINES.
Distance In chains. 10
20
30
40
o·
o
0.0 0.0 0.0 0.0 1 0.3 0.6 0.9 1.2 2 0.6 1.2 1.7 2.3 30.91.7 2.6 3.5 4 1.2 2.3 3.5 4.7 6 1.5 2.9 4.4 5.8 61.73.5 5.2 7.0 7 2.0 4.1 6.1 8.1 8 2.3 4.7 7.0 9.3 9 2.6 5.2 7.9 10.5 10 2.9 5.8 8.7 11. 6 11 3.2 6.4 9.6 12.8 12 3.5 7.0 10.5 14.0 13 3.8 7.6 11.3 15.1 14 4.1 8.1 12.2 16.3 154.48.7 13.1 17.5 16 4.7 9.3 14.0 18.6 17 4.9 9.9 14.8 19.8 18 5.2 10.5 15.7 20.9 19 5.5 11.1 16.6 22.1 20 5.8 11.6 17.5 23.3 21 6.112.2 18.3 24.4 22 6.4 12.8 19.2 25.6 23 6.7 13.4 20.1 26.8 24 7.0 14.0 20.9 27.9 26 7.3 14.5 21. 8 29.1 26 7.6 15.1 22.7 30.3 27 7.9 16.7 23.6 31. 4 28 8.1 16.3 24.4 32.6 29 8.4 16.9 25.3 33.7 30 8.7 17.5 26.2 34.9 31 9.0 18.0 27.1 36.1 32 9.3 18.6 27.9 37.2 33 9.6 19.2 28.8 38.4 34 9.9 19.8 29.7 39.6 35 10.2 20.4 30.6 40.7 36 10.5 20.9 31.4 41. 9 37 10.8 21.5 32.3 43.1 38 11.1 22.1 33.2 44.2 39 11.3 22.7 34.0 45.4 40 11.6 23.3 34.9 46.5 41 11.9 23.9 35.8 47.7 42 12.2 24.4 36.7 48.9 43 12.5 25.0 37.5 50.0 44 12.8 25.6 38.4 51. 2 46 13.1 26.2 39.3 52.4 46 13.4 26.8 40.1 53." 47 13.7 27.3 41.0 54.7 48 14.0 27.9 41. 9 65.S 49 14.3 28.5 42.8 57.0 50 14.5129.1 43.6 58.2 51 14.8 29.7 44.5 59.3 52 15.1 30.3 45.4 60.5 53 15.4 30.8 46.2 61. 7 54 15.7 31. 4 47.1 62.8 55 16.0 32.0 48.0 64.0 66 16.3 32.6 48.9 65.2 57 16.6 33.2 49.7 66.3 58 16.9 33.7 50.6 67.5 59 17.2 34.3 51. 5 68.6 60 17.5 34.9 62.4 69.8
60
60
70
80
90
100
Departure In links.
-,----,---,---,---1
0.0 0.0 1.5 1.7 2.9 3.5 4.4 5.2 7.0 5.8 7.3 8.7 8.7 10.5 10.2 12.2 11.6 14.0 13.1 15.7 14.5 17.5 16.0 19.2 17.5 20.9 18.9 22.7 20.4 24.4 21. 8 26.2 23.3 27,9 24.7 29.7 26.2 31. 4 27.6 33.2 29.1 34.9 30.5 36.7 32.0 38.4 3.1.5 40.1 34.9 41. 9 36.4 43.6 37.81 4".4 39.3. 47.1 40.7: 48.9 42.2 I 50.6 43.6 52.4 45.1 54.1 46.5 55.8 48.0 57.6 49.5 59.3 50.9 61.1 62.4 62.8 53.8 64.6 55.3 66.3 66.7 68.1 56.2 59.8 59.6 71.6 61.1 73.3 62.5 75.0 64.0 76.8 65.4 78.5 66.9 SO. 3 68.4 82.0 69.8 83.8 71.3 85.5 72.7 87.3 74.2 89.0 75.6 90.8 77.1 92.5 78.5 94.2 SO.O 1 96.0 81.4 i 97.7 82.9 I 99.5 84.41101. 2 85.8 103.0 87.3 104.7
0.0 0.0 0.0 0.0 60 2.0 2.3 2.6 2.9 59 4.1 4.7 5.2 5.858 6.1 7.0 7.9 8.7 57 8.1 9.3 10.5 11.6 66 10.2 11.6 13. 1 14.5 55 12.2 14.0 15.7 17.5 54 14.3 16.3 18.3 20.4 53 16.3 18.6 20.9 23.3 52 18.3 20.9 23.6 26.2 51 20. 4 23.3 26.2 29. 1 60 22. 4 25. 6 28. 8 32. 0 4g 24.4 27.9 31.4 34.91 48 26.5 30.3 34.0 37.8 47 28. 5 32. 6 36. 7 40. 7 46 30. 5 34.9 39.3 43.6 45 32.6 37.2 41.9 46.5 44 34.6 39.6 44.5 49. 5 43 36.7 41.9 47.1 52.4 42 38.7 44.2 49.7 55.3 41 40.7 46.5 52.4 56.2 40 42.8 48.9 55.0 61. 1 39 44.8 51.2 57.6 64.0 38 46.8 53.5 00.2 66.9 37 48.9 55.9 62.8 69.8 36 50. 9 56. 2 65. 4 72. 7 35 52.9 60.5 68.1 75.6 34 55.0 62.8 70.7 78.5 33 57.0 65.2 73.3 81.4 32 59.0 67.5 75.9 84.4 31 61. 1 69.8 78. 5 87.3 30 63. 1 72. 1 81. 2 90.2 29 65.2 74.5 83.8 93.1 28 67.2 76.8 86.4 96.0 27 69.2 79. 1 89.0 98.9 26 71. 3 81. 4 91. 6 101. 8 26 73.3 83.8 94.2 104.7 24 75.3 86.1 96.9 107.6 23 77. 4 88. 4 99. 5 110.6 22 79.4 90.8 102.1 113.4 21 81. 4 93. 1 104. 7 116.4 20 83.5 95.4 107.3 119.3 19 85.5 i 97.7 110.0 122.2 18 87.6 '100.1 112.6 125.1 17 89.6 102. 4 115.2 128.0 16 91.6 104.7 117.8 130.9 16 93.7 107.0 120.4 133.8 14 95.7 109.4 123.0 136.7 13 97.7 1ll.7 125.7 139.6 12 99.8 114.0 128.3 142.5 11 101. 8 116.4 130.9 145.4 10 103.8 118.7' 133.5 148.3 9 105.9 121. 0 '136.1 151.3 8 107.9 123.3! 138.7 154.2 7 110.0 125. 7 141. 4 157.1 6 112.0 128.0 144.0 160.0 5 114.0 130.3 146.6 162.9 4 116.1 132.6 149.2 165.8 3 118. 1 135.0 151. 8 168. 7 2 1 120.1 137.3 154.5 171.6 0 122.2 139.6 157.1 i 174.5
Latitude In links.
7·
I
89"
TABLE t.-TBA VERSE TABLE. t:::I
~=s
I
~'.
}i'.
I
t:::I
~'.
Lat.
Dep.
f~
0.01 0.02 0.03 0.03 0.04 0.05 0.06 0.07 0.08 0.09
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00
0.01 0.03 0.04 0.05 0.07 0.08 0.09 0.10 0.12 0.13
1 2 3 4 5 6 7 8 9 10
11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00
0.10 0.10 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.17
11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00
0.14 0.16 0.17 0.18 0.20 0.21 0.22 0.24 0.25 0.26
11 12 13 14 15 16 17 18 19 20
0.09 0.10 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13
21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00
0.18 0.19 0.20 0.21 0.22 0.23 0.24 0.24 0.25 0.26
21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00
0.27 0.29 0.30 0.31 0.33 0.34 0.35 0.37 0.38 0.39
21 22 23
31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00
0.14 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.17
31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00
0.27 0.28 0.29 0.30 0.31 0.31 0.32 0.38 0.34 0.31>
31.00 32.00 33.00 34.00 85.00 36.00 87.00 38.00 39.00 40.00
0.41 0.42 0.43 0.45 0.46 0.47 0.48 0.50 0.51 0.52
31 32 33 34 85
41 42 43 44 45 46 47 48 49 50
41.00 42.00 43.00 44.00 45.00 46.00 47.00 48.00 49.00 60.00
0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.22
41.00 42.00 43.00 44.00 45.00 46.00 47.00 48.00 49.00 50.00
0.36 0.87 0.38 0.38 0.39 0.40 0.41 0.42 0.43 0.44
41.00 42.00 43.00 44.00 45.00 46.00 47.00 48.00 49.00 50.00
0.64 0.65 0.66 0.68 0.69 0.60 0.62 0.63 0.64 0.65
41
ti
Dep.
L9.t.
Dep.
Lat.
Dep.
Lat.
16
Lat.
Dep.
Lat.
Dep.
I 2 3 4
6 7 8 9 10
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00
0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.03 0.04 0.04
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00
11 12 13 14 15 16 17 18 19 20
11. 00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00
0.05 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.08 0.09
21 22 23 24 25 26 27 28 29 30
21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00
31 32 33 34 35 36 37 38 39 40
I)
i
~
I
I !
--- - - - - - -
24 25 26 27 28 29 30
~
38 39 40
42 43 44 45 46 47 48 49 50
---
-'--1 ~'.
89}i·.
8
I
811~·.
j ~
TABLE f.-TRAVERSE TABLB. t='
~o.
g 1i
Lat.
51 52 63 64 65 66 67 68
51.00 62.00 63.00 64.00 65.00 66.00 67.00 58.00
~
~.OO
00 61 62 63 64 65 66 67 68
Lat.
Lat.
Dep.
Dep.
~
1i
--51.00 62.00 63.00 64.00 65.00 66.00 67.00 68.00 59.00 60.00
0.45 0.45 0.46 0.47 0.48 0.49 0.50 0.61 0.51 0.52
51.00 52.00 63.00 64.00 65.00 66.00 57.00 57.99 58.99 69.99
0.67 0.68 0.00 0.71 0.72 0.73 0.75 0.76 0.77 0.79
61 52 63 64 65 66 67 68 50
60.00
0.22 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.26
69 70
61.00 62.00 63.00 64.00 65.00 66.00 67.00 68.00 00.00 70.00
0.27 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31
61.00 62.00 63.00 64.00 65.00 66.00 67.00 68.00 00.00 70.00
0.63 0.64 0.65 0.66 0.67 0.58 0.58 0.69 0.60 0.61
60.99 61.99 62.99 63.99 64.99 65.99 66.99 67.99 68.99 00.99
O.lll 0.81 0.82 0.84 0.85 0.86 0.88 0.89 0.90 0.92
61 62 63 64 65 66 67 68
71 72 73 74 75 76 77 78 79 80
71.00 72.00 73.00 74.00 75.00 76.00 77.00 78.00 79.00 80.00
0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35
71.00 72.00 73.00 74.00 75.00 76.00 77.00 78.00 79.00 80.00
0.62 0.63 0.64 0.65 0.65 0.66 0.67 0.fJ8 0.00 0.70
70.99 71.99 72.99 73.99 74.99 75.99 76.99 77.99 78.99 79.99
0.93 0.94 0.96 0.97 0.98 0.99 1.01 1.02 1.03 1.05
71 72 73 U 76 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
81.00 82.00 83.00 84.00 85.00 86.00 87.00 88.00 89.00 90.00
0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.38 0.39 0.39
81.00 82.00 83.00 84.00 86.00 86.00 87.00 88.00 89.00 90.00
0.71 0.72 0.72 0.73 0.74 0.75 0.76 0.77 0.78 0.79
SO. 99 81. 99 82.99 83.99 84.99 85.99 86.99 8799 88.99 89.99
1.06 1.07 1.09 1.10 1.11 1.13 1.14 1.15 1.16 1.18
81 82 83 84 85 86 87 88 89 90
91 92 93 94 96
91.00 92.00 93.00 94.00 96.00 96.00 97.00 98.00 99.00 100.00
0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44
91.00 92.00 93.00 94.00 95.00 96.00 97.00 98.00 99.00 100.00
0.79 O.SO 0.81 0.82 0.83 0.84 0.85 0.86 0.86 0.87
90.99 91.99 92.99 93.99 94.99 95.99 96.99 97.99 98.99 99.99
1.19 1.20 1.22 1.23 1.24 1.26 1.27 1.28 1.30 1.31
91 92 93 94 96 96 97 98 99 100
Dep.
Lat.
Dep.
Lat.
D~p.
Lat.
8
96
97 98 99 100
I
Dep.
t='
~o.
~o.
j A
891,40.
89~0.
9
I
89~0.
00
69
70
~
A
TABLE 4.-TRAVEIlSE TABLE. 1:1
~
§ ~
1°.
----Lat.
Dep.
I
1~0.
B~o"
----
Lat.
Lat.
Dep.
Dep.
I
1%°.
I
I I
Lat.
Dep.
1::1 EO
!O
~
I-
1 2 3 4 6 6 7 8 9 10
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00
0.02
1.00 2.00 3.00 4.00 6.00 6.00 7.00 8.00 9.00 10.00
0.02 0.04 0.07 0.09 0.11 0.13 0.15 0.17 0.20 0.22
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00
8:~ I
0.08 0.10 0.13 0.16 0.18 0.21 0.24 0.26
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00
O.oa
0.05 0.07 0.09 0.10 0.12 0.14 0.16 0.17
0.06 0.09 0.12 0.15 0.18 0.21 0.24 0.27 0.31
1 2 3 4 6 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00
0.19 0.21 0.23 0.24 0.26 0.28 0.30 0.31 0.33 0.35
11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00
0.24 0.26 0.28 0.31 0.33 0.35. U.37 ~ 0.39 i 0.41 0.44
11.00 12.00 13.00 14.00 14.99 15.99 16.99 17.99 18.99 19.99
0.29 0.31 0.34 0.37 0.39 0.42 0.45 0.47 0.50 0.62
10.99 11.99 12.99 13.99 14.99 15.99 16.99 17.99 18.99 19.99
0.34 0.37 0.40 0.43 0.46 0.49 0.52 0.55 0.58 0.61
11 12 13 14 16 16 17 18 19 20
21
21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00
0.37 0.38 0.40 0.42 0.44 0.45 0.47 0.49 0.51 0.62
~1.00
23.99 24.99 25.99 26.99 27.99 28.99 29.99
0.46 0.48 0.50 0.52 0.55 0.57 0.59 0.61 0.63 0.65
20.99 21.99 22.99 23.99 24.99 25.99 26.99 27.99 28.99 29.99
0.55 0.58 0.00 0.63 0.65 0.68 0.71 0.73 0.76 0.79
20.99 21. 99 22.99 23.99 24.99 25.99 26.99 27.99 28.99 29.99
0.64 0.67 0.70 0.73 0.76 0.79 0.82 0.86 0.89 0.92
21 22 23 24 25 26 27 28 29 30
31.00 32.00 32.99 33.99 34.99 35.99 36.99 37.99 38.99 39.99
0.54 0.56 0.58 0.59 0.61 0.63 0.65 0.66 0.68 0.70
30.99 31. 99 32.99 3.1.99 34.99 35.99 36.99 37.99 38.99 39.99
0.68 0.70 0.72 0.74 I 0.76 0.79 0.81 0.83 0.85 0.87
30.99 31. 99 32.99 33.99 34.99 35.99 36.99 37.99 38.99 39.99
0.81 0.84 0.86 0.89 0.92 0.94 0.97 0.99 1.02 1.05
30.99 31.99 32.98 33.98 34.98 35.98 36.98 37.98 38.98 39.98
0.95 0.98 1. 01 1.04 1.07 1.10 1.13 1.16 1.19 1.22
31 32 33
38 39 40
40.99 . 41.99 42.99 43.99 44.99 46.99 46.99 47.99 '48.99 49.99
0.72 0.73 0.75 0.77 0.79 0.80 0.82 0.84 0.86 0.87
40.99 41. 99 42.99 43.99 44.99 45.99 46.99 47.99 48.99 49.99
0.89 0.92 0.94 0.96 0.98 1.00
40.99 41. 99 42.99 43.98 44.98 46.98 46.98 47.98 48.98 49.98
1.07 1.10 1.13 1.15 1.18 1.20 1.23 1.26 1.28 1.31
40.98 41. 98 42.98 43.98 44.98 45.98 46.98 47.98 48.98 49.98
1. 25 1.28 1.31 1. 34 1.37 1.40 1. 44 1. 47 1.50 1.53
41 42 43 44 46 46 47 48 49 60
22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
37 38 39 40 41 42 43 44 46 46 47 48 49
50
-2i
~
O.oa
1.99
~2.99
Loa
1.05 1.07 1.09
--- i ----
Dep.
Lat.
Dep.
A
Dep.
Lat.
Dep.
Lat.
88~0.
88%°.
10
I
~
j
I
89°.
35 36 37
--- - - - --- - - - - -
Lat.
~
.!!l
34
88~0.
!
TA.BLE "'.-TRA.VERSE TABLE.
g
: <>
tj
1~'.
l~o.
l~o.
I'.
tj
-----
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
!" - - --- --- --- - - - - - - --- ---
.
;
1.34 1.36 1.39 1.41 1.« 1. 47 1.49 1.52 1.54 1.1;7
ro.98 61.98 62.98 53.97 54.97 M.97 66.97 57.97 68.97 1;9.97
1.66 1.59 1.62 1.65 1.68 1.71 1. 74 1.77 1.80 1.83
60.99 61.99 62.99 63.98 64.98 65.98 66.98 67.98 68.98 69.98
1.33 1.85 1.37 1.40 1.42 1.« 1.46 1.48
60.98 61.98 62.98 63.98 64.98 65.98 66.98 67.98 68.98 69.98
1.60 1.62 1.61; 1.68 1. 70 1. 73 1. 75 1. 78 1.81 1.83
60.97 61.97 62.97 63.97 64.97 65.97 66.97 67.97 68.97 69.97
1.86 1.89 1.92 1. 91; 1.99 2.02 2.05 2.08 2.11 2.14
61 62 63 64 65 66 67 68 69 70
1.24 1.26 1.27 1.29 1.31 1.33 1.34 1.36 1.38 1.40
70.98 71.98 72.98 73.98 74.98 75.98 76.98 77.98 78.98 79.98
1.55 1. 57 . 1.69' 1.61 1.64 1.66 1.68 1. 70 1. 72 1. 75
70.98 71.98 72.97 73.97 74.97 75.97 76.97 77.97 78.97 79.97
1.86 1.88 1. 91 1.94 1.96 1.99 2.02 2.04 2.07 2.09
70.97 71.97 72.97 73.97 74.97 75.96 76.96 77.96 78.96 79.96
2.17 2.20 2.23 2.26 2.29 2.32 2.85 2.38 2.41 2.«
71 72 73 74 75 76 77 78 79 80
80.99 81.99 82.99 83.99 84.99 85.99 86.99 87.99 88.99 89.99
1.41 1.43 1.45 1. 47 1.48 1.50 1.52 1.54 1.65 1.57
80.98 81.98 82.98 83.98 84.98 85.98 86.98 87.98 88.98 89.98
1. 77 1.79 1.81 1.83 1.85 1.88 1.90 1.92 1. 94 1.96
80.97 81. 97 82.97 83.11. 84.97 85.97 86.97 87.97 88.97 89.97
2.12 2.15 2.17 2.20 2.23 2.25 2.28 2.30 2.33 2.36
80.96 81.96 82.96 83.96 84.96 85.96 86.96 87.96 88.96 89.96
2.47 2.ro 2.53 2.67 2.60 2.63 2.66 2.69 2.72 2.71;
81 82 83 84 85 86 87 88 89 90
00.99 91.99 92.99 93.99 94.99 95.99 96.99 97.99 98.98 99.98
1.59 1.61 1.62 1.64 1.66 1.68 1.69 1. 71 1. 73 1.75
90.98 91.98 92.98 93.98 94.98 95.98 96.98 97.98 98.98 99.98
1.99 2.01 2.03 2.05 2.07 2.09 2.12 2.14 2.16 2.18
90.97 91.97 92.97 93.97 94.97 95.97 96.97 97.97 98.97 99.97
2.38 2.41 2.43 2.46 2.49 2.51 2.54 2.57 2.59 2.62
90.00 91. 96 92.96 93.96 94.96 95.96 96.95 97.95 98.95 99.95
'2.78 2.81 2.84 2.87 2.90 2.98 2.96 2.99 3.02 3.05
91 92 93 94 95 96 97 98 gg 100
57 68 59 60 61 62 63 64 61; 66 67 68 69 70
60.99 61.99 62.99 63.99 64.99 65.'9 66.99 67.99 68.99 69.99
1.06 1.08 1.10 1.12 1.13 1.15 1.17 1.19 1.20 1.22
71 72 73 74 75 76 77 78 79 80
70.99 71.99 72.99 73.99 74.99 75.99 76.99 77.99 78.99 79.99
81 82 83 84 85 86 87 88 89 90 91 92 93
64
56
!
ro.98 61. 98 52.98 63.98 54.98 65.98 66.98 67.98 68.98 59.98
0.89 0.91 0.92 0.94 0.96 0.98 0.99 1.01 1.03 1.05
55
94
96
96
97 98 99 100
-- -----~
.~
!l
:A
&1
1.11 1.13 1.16 1.18 1.20 1.22 1. 24 1. 27 1.29 1.31
ro.99 61.99 52.99 63.99 54.99 M.99 66.99 1;7.99 68.99 69.99
51 52 63
r
--
Dep. 89'.
Lat.
ro.99 IH.99 52.99 63.99 54.99 ~.99
66.99 67.99 68.99 69.99
I I
U~I
------ -----Dep.
Lat., Dep.
~'.
: 11
Lat.
88~o.
Dep.
Lat.
~o.
52 63 54 65
56
57 68 69 60
--
j A
:
TABLE f.-TRAVERSE TABLE. 20.
tj
2~0.
Ii'
2~·.
2~·.
tj
Ii'
I
S-
Dep. Lat. Lat. Dep. Lat. Dep. Lat. Dep. " - - --- - - - - - - - - - - - - --- --- - - -I~1 2 3
1.00 2.00 3.00 4.00 5.00 6.00 7.00 7.99 8.99 9.99
0.03 0.07 0.10 0.14 0.17 0.21 0.24. 0.28 0.31 0.35
1.00 2.00 3.00 4.00 5.00 6.00 6.99 7.99 8.99 9.99
0.04 0.08 0.12 0.16 0.20 0.24. 0.27 0.31 0.35 0.39
1.00 2.00 3.00 4.00 5.00 5.99 6.99 7.99 8.99 9.99
0.04 0.09 0.13 0.17 0.22 0.26 0.31 0.35 0.39 0."""
1.00 2.00 3.00 4.00 4.99 5.99 6.99 7.99 8.99 9.99
0.05 0.10 0.14 0.19 0.24. 0.29 O.M 0.38 0.43 0.43
5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10.99 12. 99 13.99 14. 99 15. 99 16.99 17.99 18.99 19.99
0.38 0.4.2 0.45 0.411 0.52 0.56 0.59 0.63 0.66 0.70
10.99 11.99 12. 99 13. 99 14.99 15. 99 16.99 17.99 18. 99 19.98
0.43 0.47 0.51 0.55 0.59 0.63 0.67 0.71 0.75 0.79
10.99 11.99 12. 99 13.99 14. 99 15. 98 16.98 17.98 18. 98 19.98
0.43 0.52 0.57 0.61 0.65 0.70 0.74 0.79 0.83 0.87
10.99 11.99 12. 99 13.98 14. 98 15. 98 16. 98 17.98 18.98 19.98
0.53 0.68 0.62 0.67 0.72 0.77 0.82 0.86 0.91 0.96
11 12 13 14. 15 16 17 18 19 20
21 22 23 24. 25 26 27 28 29 30
20.99 21.99 22.99 23.99 24. 98 25.98 26.98 27.98 28.98 29.98
0.73 0.77 0.80 O.s. 0.87 0.91 0.94. 0.98 1. 01 1.05
20.98 21.98 22.98 23.98 24.98 25.98 26.98 27.98 28. 98 29.98
0.82 0.86 0.90 0.94 0.98 1.02 1.06 1.10 1.14 1.18
20.98 21.98 22.98 23.98 24.98 25.98 26.97 27.97 28. 97 29.97
0.92 0.96 1.00 1.05 1.09 1.13 1.18 1.22 1.26 1.31
20.98 21.97 22.97 23. 97 24. 97 25. 97 26.97 27.97 28.97 29.97
1.01 1.06 1.10 1.15 1.20 1.25 1.30 1.34. 1.39 1.......
21 22 23 24. 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
30.98 31.98 32.98 33.98 34..98 35.98 36.98 37.98 38.98 39.98
1.08 1.12 1.15 1.19 1.22 1.26 1.29 1.33 1.36 1.40
30.98 31.98 32.97 33.97 34.97 35.97 36.97 37.97 38.97 39.97
1.22 1.26 1.30 1.33 1.37 1.41 1.45 1.49 1.63 1.57
30.97 31.97 32.97 33.97 34.97 35.97 36.96 37.96 38.96 39.96
1.35 1.40 1.43 1.63 1.57 1.61 1.66 1.70 1.74
30.96 31.96 32.96 33.96 34..96 35.96 36.96 37.96 38.96 39.95
1.4.9 1.04 1.68 1.63 1.68 1.73 1. 78 1.82 1.87 1.92
31 32 33 U 35 36 37 38 89 40
41 42 43
40.98 41.97 42. 97 43.97 44.97 45. 97 46.97 47.97 43.97 49.97
1.43 1.47 1.50 1.04 1.57 1.61 1.64 1.68 1.71 1.74
40.97 41.97 4.2.97 43.97 44.97 45.96 46.96 47.96 48.96 49.96
1.61 1.65 1.69 1.73 1.77 1.81 1.85 1.88 1.92 1.96
40.96 41.96 4.2.96 43.96 44.96 45.96 46.96 47.95 48.95 4.9.95
1.79 1.83 1.88 1.92 1.96 2.01 2.05 2.09 2.14 2.18
40.95 41.95 42.95 43.95 44.95 45. 95 46.95 47.94 48.94. 49.94
1.97 2.02 2.06 2.11 2.16 2.21 2.25 2.30 2.35 2.40
41 4.2 43
"
5 6 7 8 9 10
...... 45 46 47 43 49 50
11.99
I."""
1 2 3
"
...... 45 46 47 43 49 50
- - ------ - - - - - - ------ - - - - - -I -
i A
Dep. 88·.
Lat.
Dep.
Lat.
Dep.
87~0.
Lat.
87~0.
12
Dep.
Lat.
87~·.
i .!!l
A
TABLE •• -TRA.VEBSE TABLE.
i!i
Dep.
Lat.
2}i°.
2~0.
2°.
l:j
Lat.
Dep.
Lat.
Dep.
--- --- --- - - --- --- --51 52 53
~
214°· Lat.
Dep.
i,.. (D
--- - - - - -
60.97 51.97 52.97 53.97 04.97 55.97 66.97 57.96 58.96 59.96
1. 78 1.81 1.85 1.88 1.92 1. 95 1.99 2.02 2.06 2.09
60.96 51.96 52.96 53.96 04.96 55.96 66.96 57.96 58.95 59.95
2.00 2.04 2.08 2.12 2.16 2.20 2.24 2.28 2.32 2.36
60.95. 51.95 52.95 53.95 04.95 55.95 66.95 57.94 58.94 1iII.94
2.22 2.27 2.31 2.36 2.40 2.44 2.49 2.53 2.57 2.62
60.94 51.94 52.94 53.94 04.94 55.94 66.93 57.93 58.93 1iII.93
2.45 2.49 2.04 2.59 2.64 2.69 2.73 2.78 2.83 2.88
51 52 53 04 55 66 57 58 59 60
65 66
67 68 69 70
60.96 61.96 62.96 63.96 64.96 65.96 66.96 67.96 68.96 69.96
2.13 2.16 2.20 2.23 2.27 2.30 2.34 2.37 2.41 2.44
60.95 61.95 62.95 63.95 64.95 65.95 66.95 67.95 68.95 69.95
2.39 2.43 2.47 2.51 2.55 2.59 2.63 2.67 2.71 2.75
60.94 61.94 62.94 63.94 64.94 65.94 66.94 67.94 68.93 69.93
2.66 2.70 2.75 2.79 2.84 2.88 2.92 2.97 3.01 3.05
60.93 61.93 62.93 63.93 64.93 65.92 66.92 67.92 68.92 69.92
2.93 2.97 3.02 3.07 3.12 3.17 3.21 3.26 3.31 3.36
61 62 63 64 55 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
70.96 71.96 72.96 73.95 74.95 75.95 76.95 77.95 78.95 79.95
2.43 2.51 2.55 2.58 2.62 2.65 2.69 2.72 2.76 2.79
70.95 71.94 72.94 73.94 74.94 75.94 76.94 77.94 78.94 79.94
2.79 2.83 2.87 2.91 2.94 2.98 3.02 3.06 3.10 3.14
70.93 71.93 72.93 73.93 74.93 75.93 76.93 77.93 78.92 79.92
3.10 3.14 3.18 3.23 3.27 3.32 3.36 3.40 3.45 3.49
70.92 71.92 72.92 73.91 74.91 75.91 76.91 77. 91 78.91 79.91
3.41 3.45 3.50 3.55 3.60 3.65 3.69 3.74 3.79 3.84
71 72 73 74 75 76 78 79 80
81 82 83 84
80.95 81.95 82.95 83.95 84.95 85.95 86.95 87.95 88.95 89.95
2.83 2.86 2.90 2.93 2.97 3.00 3.04 3.07 3.11 3.14
80.94 81.94 82.94 83.94 84.93 85.93 86.93 87.93 88.93 89.93
3.18 3.22 3.26 3.30 3.34 3.38 3.42 3.45 3.49 3.53
80.92 81.92 82.92 83.92 84.92 85.92 86.92 87.92 88.92 89.91
3.53 3.58 3.62 3.66 3.71 3.75 3.79 3.84 3.88 3.93
80.91 81. 91 82.90 83.90 84.90 86.90 86.90 87.90 88.90 89.90
3.89 3.93 3.98 4.03 4.08 4.13 4.17 4.22 4.27 4.32
81 82 83 84 85 86 87 88 89 90
90.95 91. 94 92.94 93.94 94.94 95.94 96.94 97.94 98.94 99.94
3.18 3.21 3.25 3.28 3.32 3.35 3.39 3.42 3.46
90.93 91. 93 92.93 93.93 94.93 95.93 96.93 97.92 98.92 99.92
3.57 3.61 3.65 3.69 3.73 3.77 3.81 3.85 3.89 3.93
90.91 91.91 92.91 93.91 94.91 95.91 96.91 97.91 98.91 99.90
3.97 4.01 4.06 4.10 4.14 4.19 4.23 4. 27 4.32 4.36
90.90 91. 89 92.89 93.89 94.89 95.89 96.89 97.89 98.89 99.88
4.37 4. 41 4.46 4.51 4.66 4.61 4.65 4. 70 4. 75 4.80
91 92 93 94 95 96 97 98 99 100
54
55 56 57 58 59 60 61 62 63 64
85
86 87 88 89 90
91 92 93 94 95 96 97 98 99
100
3.49
77
- - - - - - - - - - - --- --- --- - - - - - - - ~
~ S
~
Dep.
88°.
Lat.
Dep.
LIlt.
Dep.
87',,0.
Lat.
87}i°.
13
Dep.
LIlt.
87~0.
i
.!l
A
TABLE 4.-TBAVERSE TA.BLE. t:l
~
I
3x(~'
3°.
~I~
1--
~
Dep.
1
1. ()()
0.05
1. ()()
~
~: ~
4 5 6 7
3.99 4. 99 5.99 6.99
8:0.21:g
~: gg
10
~
~:l: 9.99
11 12 13 14
10.98 11.98 12.98 13.98
:~
17 18 19 20
:t:
0.26 0.31 0.37
I
I
8:!~ II 9.98 ~:i:i: 0..'iIl I' 10.98 0.63' 11.98 0.68 II 12.98 0.73 'I 13.98 g:~~ I, :g~ 0.52,1
16.98 17.98 18.97 19.97
0.89116.97 0.94 17.97 0.99 18.97 1. 05 19.97
21 22 23 24
20.97 21. 97 22. 97 23.97
1. 10 1. 15, 1. 20 I 1. 26 i
20.97 21. 96 22. 96 23.96
27 28 29 30
26.96 27.96 28. 96 29.96
1. 41 1.47 1. 52 1. 57
26.96 27.95 28. 95 29.95
30.96
1. 62
30.95
36 37 38 39 40
35. 95 36.95 37.95 38. 95 39. 95
1. 88 1. 94 1.99 2. 04 2. 09
. 41 42 43 44 45 46 47 48 49 50
40.94 41.94 42.94 43.94 44. 94 45.94 46.94 47.93 48.93 49. 9"J
2.15 2.20 2.25 2.30 2.36 2.41 2.46 2.51 2.56 I 2.62
~
31
~ ~
~::
~:~ :tl:~~
I
j
0.28 1' 0.34 ': 0.40'
1. ()()
0.06
1. ()()
~: gg
8:0.24:~
~: gg
3.99 4. 99 5.99 6.99
8:~f:1 9.98 ~:: I,
0.62 10.98 O. C>8 'II 11.98 0.74 ,I 12.98 0.79 :113.97
:~:~
87°.
3.99 4.99 5.99 6.99
0.31 0.37 0.43
t:l
~
Dep. O. 06
8:0.26M aa
O. 0.39 0.46
0.61
8:~
~:: 9.98
0.67 0.73 0.79 0.85
10.98 11.97 12.97 13.97
0.72 0.78 0.85 0.92
1. 10 1. 16 1.22
16.96 17.96 18.96 19.96
1.11 1.18 1. 24 1. 31
:~:~
8:: 1. 04
8:~~
0.65
~:~
~
1 2· 3 4 5 6 7 8 9. 10.
11 12 13 H
15 16 17 18 19 20
1. 19 1. 25 1. 30 1. 36
20.96 21. 96 22. 96 23.96
1. 28 1. 34 1. 40 1. 47
20.96 21. 95 22. 95 23.95
1. 37 1. 44 1. 50 1. 57
1.59 1. 64 1. 70
26. 95 27.95 28. 95 29.94
1.65 1.71 1. 77 1. 83
26. 94 27.94 28. 94 29. 94
1. 77 1.83 1. 90 1.96
1. 76
30.94
1. 89\
30.93
2.03
35. 94 36.94 37.94 38. 94 39. 94
2. 04 2.10 2.15 2. 21 2. 27
35. 93 36.93 37.93 38. 93 39. 93
2. 20; 2.26 2.32 2. 38 2. 44
35. 92 36.92 37.92 38. 92 39. 91
2. 35 2. 42 2.49 2. 55 2. 62
35 36 37 38 39 40,
40.93 41.93 42.93 43. 93 44.93 45.93 46.92 47.92 48.92 49. 92
2.32 2.38 2. 44 2.49 2. 55 2.61 2.66 2.72 2.78 2.83
40.92 41.92 42.92 43. 92 44. 92 45.91 46.91 47.91 48.91 49.91
2.50 2.56 2. 63 2.69 2. 75 2.81 2.87 2.93 2.99 3.05
40.91 41. 91 42.91 43.91 44. 90 45. 90 46.90 47.90 48. 90 49. 89
2.68 2.75 2.81 2.88 2. 94 3. 01 3.07 3.14 3. 20 3. 27
41 42' 43 44 45. 46. 47 48' 49 50
U; 1. 53 U~ ::~
~:~~
~~:~ ~:~
U~
86W.
86'.-10.
14
~:~
~:gf I ~U~ ~:71 i ~:g~
i
T-;:;~I~I~~I~
!
~
Dep.
0.57,
8:gf I 0.96
3"4~.
16.97 17.97 18.96 19.96
~:~ ~n~
I
0.06 1
8:0.23g
I
1. 02 1. 08 1.13
U~ I ~t:;
U~ U~
~
Dep.
3.99 4.99 5.99 6.99
3W.
Dep.
U~
~:n ~:~
Lat.
21 22 23 24 25 26' 27 28. 29 30 31 32 33
34
~
11---RC-')4-'-'- __ ._~_ ..
•
TABLE f.-TRAVERSE TABLE. 3 0•
t)
'"
l --
3W·
t).
3~0.
3)1".
'"
OS
Lat.
Dep.
--- ---
I,at.
Lat.
Dep.
---
---
Dep.
Lat.
Dep.
~
~
--- --
- - ---
51 52 53 54 55 56 57 58 59 60
00.93 51.93 52.93 53.93 54.92 55.92 56.92 07.92 58.92 59.92
2.67 2.72 2.77 2.83 2.88 2.93 2.98 3.04 3.09 3.14
50.92 51. 92 52.91 53.91 54.91 55.91 56.91 57.91 58.91 59.90
2.89 50.90 2.95 51.90 3.00 I 52.90 3.00 53.90 3.12 54.90 3.17 55.90 3.23 56.89 3.29 57.89 3.34 58.89 3.40 59.89
3.11 3.17 3.24 3.30 3.36 3.42 3.48 3.54 3.60 3.66
50.89 51.89 52.89 53.88 54.88 55.88 56.88 57.88 58.87 59.1'!l
3.34 3.40 3.47 3.53 3.60 3.66 3.73 3.79 3.86 3.92
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 00 67 68 69 70
60.92 61.92 62.91 63.91 64.91 65.91 66.91 67.91 68.91 69.90
3.19 3.24 3.30 3.35 3.40 3.45 3.51 3.56 3.61 3.66
60.90 61.90 62.90 63.90 64.90 65.89 66.89 67.89 68.89 69.89
3.46 3.51 3.57 3.63 3.69 3.74 3.80 3.86 3.91 3.97
60.89 61.88 62.88 63.88 f>4.88 65.88 66.88 67.87 68.87 69.87
3.72 3.79 3.85 3.91 3.97 4.03 4.09 4.15 4.21 4.27
60.87 (;1.87 62.87 63.86 04.86 65.86 66.86 67.85 68.85 69.85
3.99 4.05 4.12 4.19 4.25 4.32 4.38 4.45 4.51 4.58
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
70.90 71. 90 72.90 73.90 74.90 75.00 76.89 77.89 78.89 79.89
3.72 3.77 3.82 3.87 3.93 3.98 4.03 4.08 4.13 4.19
70.89 71.88 72.88 73.88 74.88 75.88 76.88 77.87 79.87
4.03 4.08 4.14 4.20 4.25 4.31 4.37 4.42 4.48 4.54
70.87 71.87 72.86 73.86 74.86 75.86 76.86 77.85 78.85 79.85
4.33 4.40 4.46 4.52 4.58 4.64 4.70 4.76 4.82 4.88
70.85 71.85 72.84 73.84 74.84 75.84 76.84 77.83 78.83 79.83
4.64 4.71 4.77 4.84 4.91 4.97 5.04 5.10 5.17 0.23
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87
80.89 81.89 82.89 83.88 84.88 85.88 86.88 87.88 88.88 89.88
4.24 4.29 4.34 4.40 4.45 4.50 4.55 4.61 4.66 4.71
80.87 81.87 82.87 83.86 84.86 85.86 86.86 87.86 88.86 89.86
4.59 4.65 4.71 4.76 4.82 4.88 4.93 4.99 5.05 5.10
80.85 81.85 82.85 83.84 84.84 85.84 86.84 87.84 88.83 89.83
4.94 5.01 5.07 5.13 5.19 5.25 5.31 5.37 5.43 5.49
80.83 81.82 82.82 .83.82 84.82 85.82 86.81 87.81 88.81 89.81
5.30 5.36 5.43 5.49 5.56 5.62 5.69 5.76 5.82 5.89
81 82 83 84 85 86 87 88 89 00
00.88 91.87 92.87 93.87 94.87
4.76 4.81 4.87 4.92 4.97 0.02 5.08 5.13 5.18
90.85 91.85 92.85 93.85 94.85 95.85 96.84 111.84 98.84
5.16 5.22 5.27 5.33 5.39 5.44 5.50 5.56 5.61 5.67
00.83 91.83 92.83 93.82 94.82 95.82 96.82 97.82 98.82 99.81
5.56 5.62 5.68 5.H 5.86 5.86 5.92 5.98 6.04 6.10
00.81 91.86 92.86 93.86 94.86 95.79 96.79 97.79 98.79 99.79
5.95 6.02 6.08 6.15 6.21 6.28 6.34 6.41 6.47 6.54
91 92 93
88 89 90 91 92 93 94
95 00
95. 1fT
99
111.87 98.86
111 98
00. 1fT
100
99.8C
5.23
78.~7
99.84
94
95 96 97 98 99 100
- - --- --- - - - - - - - - - - - - ------ -8 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. j .!i
A
1fT••
861.4·.
~
15
..
86W.
j
A
TABLB f.-TRAVERSB TABLB. tj
r
4~0.
4°.
10
Lat.
Dep.
Lat.
4~0.
Dep.
Lat:
Dep.
------ - - - 1.00 2.00 2.99 3.99 4.99 5.99 6.98 7.98 8.98 9.98
0.07 0.14 0.21 0.28 0.35 0.42 0.49 0.56 0.63 0.70
1.00 1.99 2.99 3.99 4.99 5.9B 6.98 7.98 8.98 9.97
0.07 0.15 0.22 0.30 0.37 0.44 0.52 0.59 0.67 0.74
1.00 1.99 2.99 3.99 4.98 5.98 6.98 7.98 8.97 9.97
0.08 0.16 0.24 0.31 0.39 0.47 0.55 0.63 0.71 0.78
11 12 13 14 15 16 17 18 19 20
10.97 11.97 12.97 13.97 14.96 15.96 16.96 17.96 18.95 19.95
0.77 0.84 0.91 0.98
1.19 1.26 1.33 1.40
10.97 11. 97 12.00 13.96 14.96 15.96 16.95 17.95 18.95 19.95
0.82 0.89 0.96 1.04 1.11 1.19 1.2C> 1.33 1. 41 1.48
10.97 11. 00 12.96 13.96 14.95 15.95 16.95 17 94 18.94 19.94
21 22 23 24 25 26 27 28 29 30
20.95 21.95 22.94 23.94 24.94 25.94 26.93 27.93 28.93 29.93
1.46 1.53 1.60 1.67 1.74 1.81 1.88 1. 95 2.02 2.09
20.94 21. 94 22.94 23.93 24.93 25.93 26.93 27.92 28.92 29.92
1.56 1.63 1. 70 1. 78 1.85 1.93 2.00 2.08 2.15 2.22
31 32 33 34 35 36 37 38 39 10
30.92 31. 92 32.92 33.92 34.91 35.91 36.91 37.91 38.90 39.90
2.16 2.23 2.30 2.37 2.44 2.51 2.58 2.65 2.72 2.79
30.91 31. 91 32.91 33.91 34.90 35.90 36.90 37.90 38.89 39.89
U 42 43 44 45 46 47 48 49 50
40.90 41. 90 42.90 43.89 44.89 45.89 46.89 47.88 48.88 49.88
2.86 2.93 3.00 3.07 3.14 3.21 3.28 3.35 3.42 3.49
40.89 41.88 42.88 43.88 44.88 45.87 46.87 47.87 48.87 49.86
I
~
I,at.
..
tj
Dep.
------
1 2 3 4 5 6 7 8 9 10
Ugl
I I
1.00 1.99 2.99 3.99 4.98 5.98
f
7.97 8.97 9.97
0.08 0.17 0.25 0.33 0.41 0.50 0.58 0.66 0.75 0.83
4 5 6 7 8 9 10
0.86 0.94 1.02 1.10 1.18 1. 26 1.33 1.41 1.49 1.57
10.96 11.96 12.96 13.95 14.95 15.95 16.94 17.94 18.93 19.93
0.91 0.99 1.08 1.16 1.24 1.32 1.41 1.49 1. 57 1.66
11 12 13 14 15 16 17 18 19 20
20.94 21. 93 22.93 23.93 24.92 25.92 26.92 27.91 28.91 29.91
1.65 1. 73 1.80 1.88 1.96 2.04 2.12 2.20 2.28 2.35
20.93 21. 92 22.92 23.92
1.74 1.82 1.90 1.99 2.07 2.15 2.24 2.32 2.40 2.48
21 22 23 24 25 26 27 28 29 30
2.30 2.37 2.45 2.52 2.59 2.67 2.74 2.82 2.89 2.96
30.90 31. 90 32.90 33.90 34.89 35.89 36.89 37.88 38.88 39.88
2.43 2.51 2.59 2.67 2.75 2.82 2.90 2.98 3.06 3.14
39.86
2.57 2.65 2.73 2.82 2.90 2.98 3.06 3.15 3.23 3.31
31 32 33 34 35 36 37 38 39 40
3.04 3.11 3.19 3.26 3.33 3.41 3.48 3.56 3.63 3.71
40.87
3.22 3.30 3.37 3.45 3.53 3.61 3.69 3.77 3.84 3.92
40.86 41.86 42.85 43.85 44.85 45.84 46.84 47.84 48.83 49.83
3.40 3.48 3.56 3.64 3.73 3.81 3.89 3.97 4.06 4.14
41 42 43 44 45 46 47 48 49 50
41.'irl 42.'irl
43.86 44.86 45.86 46.86 47.85 48.85 49.85
6.98
Z4.91
25.91 26.91 27.90 28.90 29.90
I
30.89 31.89 32.89 33.88 34.88 35.88 36.87 37.87 38.'irl
1 2
3
- - - - - - - - - - - --- - - - --- - - - - - - - Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. t
i ~
86°.
85',40.
85~0.
16
I
B5~0.
I ~
TA.BLE .,-TRA. VERSE TABLE,
,0, Lat. 61 52 53 54 55
4~0.
4~O,
Dep.
Lat.
Dep.
Lat.
60
50.88 61.87 52. 87 53.87 54.87 55.86 56.86 57.86 58.86 59.86
3.56 3.63 3.70 3.77 3.84 3.91 3. 98 4. 05 4.12 4.19
50.86 51.86 52.86 53.86 54.86 55.86 56.84 67.84 58.84 59.84
3.78 3.86 3.93 4.00 4.08 4.15 4.22 4.30 4.37 4.45
61 62 63 64 65 66 67 68 69 70
00.86 61.86 02. 86 63.84 64.84 65.84 66.84 67.83 68.83 69.83
4.26 4.32 4.39· 4.46 4.67 4. 74 4.81 4.88
60.83 61.83 62.83 63.82 64.82 65.82 66.82 67.81 68.81 69.81
4.52 4.59 4.67 4.74 4. 82 4.89 4.97 5.04 5.11 5.19
71 72 73 74 75 76 17 78 79 80
70.83 71. 82 72.82 73.82 74. 82 75. 81 76. 81 17. 81 78. 81 79.81
4. 95 5.02 5.09 5.16 5.23 5.30 5. 37 5.44 5. 51 5.58
70.80 71.80 72.80 73.80 74.79 75. 79 76. 79 17.79 78.78 79.78
5.26 5. 34 5. 41 5.48 5.56 5.63 5.71 5. 78 5. 85 5.93
81 82 83 84 86 86 87 88 89 90
80.80 81.80 82.80 83.80 84.79 85.79 86.79 87.79 88. 78 89.78
5.65 5. 72 5.79 5.86 5.93 6.00 6.07 6.14 6.21 6.28
80.78 81.77 82.77 83.77 84.77 85. 76 86.76 87.76 88. 76 89.76
6.00 6.08 6.15 6.23 0.30 6.37 6.45 6. 52 6.00 6.67
91
92
90.78 91. 78
93 94 95 96 97 98 99 100
93. 77 94. 77 95. 77 90. 76 97.76 98.76 99.76
6.35 6. 42 6.49 6.56 6.63 6.70 6. 77 6.84 6. 91 6.98
90.75 91. 75 92. 74 93. 74 94.74 95. 74 90.73 97.73 98. 73 99.73
6. 74 6. 82 6.89 6.97 7.04 7.11 7.19 7.26 7.34 7.41
56 57 58 59
::~
92.77
i
I
I
~
86 0•
~1'79-1~2
Dep.
50.84 51.84 52.84 53.83
Lat.
Dep.
4.00 4.08 4.16 4.24 4.32 4.39 4.47 4.55 4.63 4.71
50.82 51.82 52. 82 53. 81 54.81 55. 81 56.80 67.80 58.80 59.79
4.22 4.31 4.39 4.47 4.55 4.64 4.72 4.80 4.89 4. 97
51 52 53 54 55
I ~nt
62.81 63.80 64.80 65.80 66.79 67.79 68.79 69.78
4. 79 4.86 4.94 5.02 5.10 5.18 5.26 5.34 5. 41 5. 49
60.79 61. 79 62. 78 63.78 64.78 65.77 66.77 67.77 68.76 69.76
5. 05 6.13 5.22 5.30 5.38 5.47 5.55 5. 63 5.71 5.80
61 62 63 64 65 66 67 68 69 70
70.78 71. 78 72.17 73.77 74. 77 75. 77 76.76 17. 76 78. 76 79.75
5. 57 5.65 5. 73 5. 81 5.88 5.96 6.04 6.12 6.20 6.28
70.76 71.75 72. 76 73. 75 74. 74 75. 74 76.74 77. 73 78. 73 79.73
5.88 5.96 6.04 6.13 6.21 . 6.29 6.38 6.46 6.54 6.62
71 72 73 74 75 76 77 78 79 80
80.75 81. 75 82. 74 83.74 84.74 85. 73 86.73 87.73 88.73 89.72
6.36 6.43 6. 51 6.59 6.67 6. 75 6.83 6.90 0.98 7.06
80.72 81. 72 82. 71 83.71 84. 71 85. 70 86.70 87.70 88.69 89.69
6.71 6.79 6.87 6.96 7.04 7.12 7.20 7.29 7.37 7.45
81 82 83 84 85 86 87 88 89 90
90.72 91. 72 92.71 93. 71 94. 71 95. 70 90. 70 97.70 98. 69 99.69
7.14 7.22 7.30 7.38 7.45 7.53 7.61 7.69 7.77 7.86
90.69 91. 68 92.68 93.68 94.67 95. 67 96.67 97.66 98. 66 99.66
7.54 7.62 7.70 7.78 7.87 7.95 8.03 8.12 8.20 8.28
91 92 93 94 95 96 97 98 99 100
54.83
55.83 56.82 57.82 58.82 59.82
I
I
T-;;.- -;;.- -;;.~
4~·.
~
~ -;;'-I~
86~0.
85"-4'.
17
86~0.
56 57 58 59 60
j ~
TABLB t.-TBA. VERSB TABL.. ti
f
~
5·.
Lat.
Dep.
Lat.
..
5~·.
Dep.
- - - - - - - - - - - ---
Dep.
Lat.
..
ti
Dep.
f
------ - - --- - -
7 8 9 10
6
1.00 1.99 2.99 3.98 4.98 6.98 6.97 7.97 8.97 9.96
0.09 0.17 0.26 0.35 0.44 0.52 0.61 0.70 0.78 0.87
1.00 1.99 2.99 3.98 4.98 6.97 6.97 7.97 8.96 9.96
0.09 0.18 0.27 0.37 0.46 0.66 0.64 0.73 0.82 0.92
1.00 1.99 2.99 3.98 4.98 5.97 6.97 7.96 8.96 9.95
0.10 0.19 0.29 0.38 0.48 0.58 0.67 0.77 0.86 0.96
0.99 1.99 2.98 3.98 4.97 5.97 6.96 7.96 8.95 9.96
0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10.96 11.95 12.95 13.95 14.94 15.94 16.94 17.93 18.93 19.92
0.96 1.05 1.13 1.22 1.31 1.39 1.48 1.57 1.66 1.74
10.95 11.95 12.95 13.94 14.94 15.93 16.93 17.92 18.92 19.92
1.01 1.10 1.19 1. 28 1. 31 1.46 1.56 1.65 1.74 1.83
10.95 11.94 12.94 13.94 14.93 15.93 16.92 17.9'2 18.91 19.91
1.05 1.15 1.25 1.34 1.44 1.53 1.63 1.73 1.82 1.92
10.94 11.94 12.93 13.93 14.92 15.92 .16.91 17.91 18.90 19.90
1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28
20.92 21.92 22.91 23.91 24.90 25.90 26.90 27.89 28.89 29.89
1.83 1.92 2.00 2.09 2.18 2.27 2.35 2.44 2.53 2.61
20.91 21.91 22.90 23.90 24.90 25.89 26.89 27.88 28.88 29.87
1.92 2.01 2.10 2.20 2.29 2.38 2.47 2.56 2.65 2.75
20.90 21.90 22.89 23.89 24.88 25.88 20.88 27.87 28.87 29.86
2.01 2.11 2.20 2.30 2.40 2.49 2.59 2.68 2.78 2.88
20.89 21.89 22.88 23.88 24.87 25.87 26.86 27.86 28.85 29.85
2.10 2.20 2.30 2.40 2.50 2.00 2.71 2.81 2.91 3.01
21 22 23 24 25 26 27 28 29 30
30.88 31.88 32.87 33.87 34.87 35.86 36.86 37.86 38.85 39.85
2.70 2.79 2.88 2.96 3.05 3.14 3.22 3.81 8.40 3.49
30.87 31.87 32.86 33.86 34.85 35.85 36.84 37.84 38.84 39.83
2.84 2.93 3.02 3.11 3.20 3.29 3.39 3.48 3.57 3.66
30.86 31. 85 32.85 33.84 34.84 35.83 36.83 37.83 38.82 39.82
2.97 3.07 3.16 3.26 3.35 3.45 3.66 3.64 3.74 3.83
30.84 31. 84 32.83 33.83 34.82 35.82 36.81 37.81 38.80 39.80
3.11 3.21 3.31 3.4! 3.51 3.61 3.71 3.81 3.91 4.01
31 32 33 34 35 36 37 38 39 40
40.84 41.84 42.84 43.83 44.82 45.82 46.82 47.82 48.81 49.81
3.57 3.66 3.75 3.83 3.92 4.01 4.10 4.18 4.2i 4.36
40.83 41. 82 42.82 43.82 44.81 45.81 46.80 47.80 48.79 49.79
3.75 3.84 3.93 4.03 4.12 4.21 4.30 4.39 4.48 4.58
40.81 41.81 42.80 43.80 44.79 45.79 46.78 47.78 48.77 49.77
3.93 4.03 4.12 4.22 4.31 4.41 4.50 4.60 4.70 4.79
40.79 41. 79 42.78 43.78 44.77 45.77 46.76 47.76 48.75 49.75
4.11 4.21 4.31 4.41 4.51 4.61 4.71 4.8; 4.91 5.01
41 42 43 44 45 46 47 48 49 50
I 2 3 4 5
29
30 31 32 33 34 35 36 37 38
39 40
41 42 43 44
45
-
Lat.
~
46 47 48 49 50
- - - ---
~
!A
Dep.
Lat.
-
--- --- --- -_. - - - --- -Dep.
Lat.
Dep.
Lat.
Dt>p.
Lat.
8
j 85°.
I
84~·.
84~·.
18
84~·.
.!I
A
TABLIl t.-TBAVBBSJ: 'lABLE. 6
II
0 •
Lat.
Dep.
~o. ----__-------~-----II·----~----, Lat.
Lat.
Dep.
Lat.
4.67 4.76 4.85 4.94 6.03 5.12 5.22 6.31 5.40 6.49
50.77 61. 76 52.76 53.75 M.76 66.74 66.74 67.73 5&73 69.72
4.89 4.98 6.08 5.18 .6.27 5.37 6.46 6.56 6.65 6.75
50.74 51. 74 52.73 63.73 M.72 66.72 56.71 67.71 liS. 70 69.70
6.11 6.21 6.31 6.41 6.51 6.61 6.71 6.81 6.91 6.01
51 52 53
60.69 61.69 62.68 63.68 64.67 65. 67
67.66 68.65 69.65
6.11 6.21 6.31 6.41 6.51 6.61 6.71 6.81 6.91 7.01
61 62 63 64 65 66 67 68 69 70
72 73 74 76 76 77 78 79 80
Dep.
Dep.
51 52 53 M M .56 57 liS 69 60
ro.81 61.80 52.80 53.79 M.79 66.79 66.78 67.78 liS. 78 69.77
4.44 4.53 4.62 4.71 4.79 4.88 4.97 6.06 6.14 6.23
61 62 63 64 65 66 67 68 69 70
60.77 61.76 62.76 63.76 64.76 65.75 66.75 67.74 68.74 69.73
60.74 6.32 6.40 61. 74 6.49 , 62.74 6. liS ! 63.73 6.67 6.75 i ~U~ 66.72 6.84 67.71 6.93 68.71 6.01 6.10 69.71
6. liS 5.67 5. 76 1 5.86 , 6. 95 1 6.04 6.13 6.22 6.31 6.41
00.72 61. 71 62.71 63.71 64.70 65.70 66.69 67.69 68.68 69.68
6.85 6.94 6.04 6.13 6.23 6.33 6.42 6.62 6.61 6.71
71 72 73 74 75 76 77 78 79 80
70.73 71.73 72.72 73.72 74.71 76.71 76. 71 77.70 78.70 79.70
70.70 71. 70 72.69 73.G9 74.00 75.68 6.71 I' 76.fJ8 77.67 6.80 6.89 78.G7 79.66 6.97
6.50 6.69 6.68 6.77 6.86 6.95 7.05 7.14 7.23 7.32
70.67 71.67 72.66 73.66 74.65 75.65 76.65 77.64 78.64 79.63
6.81 6.90 7.00 7.00 7.19 7.28 7.38 7.48 7.57 7.67
70.64 71.64 72.63 73.63 74.62 75.62 76.61 77.61 78.60 79.60
7.11 7.21 7.31 7.41 7.61 7.61 7.71 7.81 7.g1 8.02
81 82 83 84 85
80.69 81.69 82.68 83.68 84.68
7.41 7.50 7.69 7.69 7.78 7.87 7.Q6 8.05 8.14 8.24
80.63 81. 62 82.62 83.61 84.61 85.60 86.00 87.li9 88.69 89.59
7.76 7.86 7.96 8.05 8.15 8.24 8.34 8.43 8.53 8.63
86.56 87.56 88.M 89.M
8.12 8.22 8.32 8.42 8.62 8.62 8.72 8.82 8.92 9.02
81 82 83 84 85
87.67 88.66 89.66
80.66 81.66 82.65 83.65 84.64 85.64 86.64 87.63 88.63 89.62
80.59 81.59 82. liS 83. liS 84.57
86 fr1 88 89 90
7.06 7.15 7.23 7.32 7.41 7.50 7. liS 7.67 7.76 7.84
91 92 93 94 96 Q6
90.65 91.65 92.65 93. 64 94. 64 95.63
7.93 8.02 8.11 8. 19 8.28 8.37
90.62 91.61 92.61 93. 61 94.60 85.60
8. 33 8.42 8.61 8. 60 8.69 8.78
9O.liS 91.liS 92.67 93. 57 94.56 95.56
8.72 8.82 8.91 9. 01 9.11 9.20
90. M 91.M 92.53 93. 53 94.52 95.52
9.12 9.12 9.32 9. 42 9.52 9.62
91 92 93 94
85.67 86.67
:99
~:~ 98.62
100
99.62
50.79 51. 78 52.78 53.77 64.77 M.77 66.76 67.76 liS. 75 69.75
6.19 6.28 6.36 6.45
g:~
::~ 8.6.1
I 98.liS ~::
8.72
99.liS
::~ 9.06
~:~ 98.M
9.15
99. M
66.66
85.57
UJ 9.49
~:gt 98.ro
U~ 9.g2
9.liS
99.50
10.02
- - - - - - - - --- - - - - - - --- ---Lat. Dep. Dep.\ .Lat. 1·,_D_ep.---,,--La_t_'_'I' Dep. ~~..
85·.
84~0.
! l~
M
M
56 67 liS 69 60
n
86 87 88 sg 10
9li
98
:99 100
--Lat.
TABLI f.-TRA.Vlal TABLI. ~
J - - --Lat.
i
:
~o.
6°.
II'
Dep.
Lat.
~o.
nap.
Lat.
~
nap.
Lat.
I
..
~
Dep.
f
!l
- - - - - - --- - - - - - - - -
I 2 3 4 5 6 7 8 9 10
0.99 1.99 2.98 3.98 4.97 6.97 6.96 7.96 8.95 9.95
0.10 0.21 0.31 0.42 0.52 0.63 0.73 0.84 0.94 1.05
0.99 1.99 2.98 3.98 4.97 5.96 6.96 7.95 8.95 9.94
0.11 0.22 0.33 0.44 0.54 0.65 0.76 0.87 0.98 1.09
0.99 1.99 2.98 3.97 4.97 5.96 6.96 7.95 8.94 9.94
0.11 0.23 0.34 0.45 0.57 0.68 0.79 0.91 1.02 1.13
0.99 1.99 2.98 3.97 4.97 6.96 G.95 7.94 8.94 9.93
0.12 0.24 0.35 0.47 0.59 0.71 0.82 0.94 1.06 1.18
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10.94 11.93 12.93 13.92 14.92 16.91 16.91 17.00 18.00 19.89
1.15 1.25 1.36 1.46 1.57 1.67 1.78 1.88 1.99 2.09
10.93 11.93 12.92 13.92 14.91 15.00 16. 00 17.89 18.89 19.88
1.20 1.31 1.42 1.52 1.63 1.74 1.85 1.96 2.07 2.18
10.93 11.92 12.92 13.91 14.00 15.00 16.89 17.88 18.88 19.87
1.25 1.36 1.47 1.58 1.70 1.81 1.92 2.04 2.15 2.26
10.92 11.92 12.91 13.00 14.00 15.89 16.88 17.88 18.87 19.86
1.29 1.41 1.63 1.65 1.76 1.88 2.00 2.12 2.23 2.35
11 12 13 15 16 17 18 19 20
21 22 23 24 2Ii 26 27 28 29 30
20.88 21.88 22.87 23.87 24.86 25.86 26.85 27.85 28.84 29.84
2.20 2.30 2.40 2.61 2. 61 2.72 2.82 2.93 3.03 3.14
20.88 21.87 22.86 23.86 24.85 25.85 26.84 27.83 28.83 29.82
2.29 2.40 2.50 2.61 2.72 2.83 2.94 3.05 3.16 3.27
20.87 21.86 22.85 23.85 24.84 25.83 26.83 27.82 28.81 29.81
2.38 2.49 2.50 2.72 2.83 2.94 3.06 3.17 3.28 3.40
20.85 21.85 22.84 23.83 24.83 25.82 26.81 27.81 28.80 29.79
2.47 2.69 2.70 2.82 2.94 3.06 3.17 3.29 3.41 3.63
21 22 23 24 25 26 27 28 29 30
31 32 33 34 36 36 37 38 89 «I
30.83 31.82 32.82 33.81 34.81 35.80 36.80 37.79 38.79 39.78
3. 24 3.34 3.45 3.65 3.66 3.76 3.87 3.97 4.08 4.18
30.82 31.81 32.80 33.80 34.79 35.79 36.78 37.77 38.77 39.76
3.37 3.48 3.69 3.70 3.81 3.92 4.03 4.14 4.25 4.35
30.80 31.79 32.79 33.78 34.78 35.77 36.76 37.76 38.75 39.74
3.61 3.62 3.74 3.85 3.96 4.08 4.19 4.30 4.41 4.63
30.79 31.78 32.77 33.76 34.76 35.75 36.74 37.74 38.73 39.72
3.64 3.76 3.88 4.00 4.11 4.23 4.35 4.47 4.58 4.70
31 82 33 34 36 37 38 39 «I
41
40.78 41.77 42.76 43.76 44.75 46.75 46.74 47.74 48.73 49.73
4.29 4.39 . 4.49 4.50 4.70 4.81 4.91 5.02 5.12 5.23
40.76 41.75 42.74 43.74 44.73 45.73 46.72 47.71 48.71 49.70
4.46 4.67 4.68 4.79 4.00 5.01 6.12 5.23 5.33 5.44
40.74 41.73 42.72 43.72 44.71 46.70 46.70 47.69 48.69 49.68
4.64 4.75 4.87 4.98 0.09 5.21 5.32 5.43 5.65 6.66
40.72 41. 71 42.70 43.70
4.82 4.94 5.05 5.17 5.29 5.41 5.52 5.64 5.76 5.88
41 42 43 44 46 46 47 48 49 50
42
43 44 45
046 47 48 49 50
--- - -: Dep. !:l
~
Jii ~
Lat.
.84 0•.
44.69
46.68 46.67 47.67 48.66 49.65
14
35
- - - - - - - - - --- - DeP.1 Lat. 83,,0.
Dep. 83~o.
Lat.
Dep.
Lat.
83~· •
S
!
~
----- - - - - - - - - -
'fABLB 4.--TBJ. VEBSB TABLE.
i
~o.
6°.
I::l
6',40.
6).2°.
f
II
Lat.
hi & 63 M 55 56 h7 68 59 60
liD. 72 61.72 &.71 63.70 M.70 55. 69 56.69 67.68 118.68 59.67
6.33 5. 44 6.M 6.64 6. 75 5.85 6.00 6.06 6.17 6.27
liD. 70 61.69 &.68 63.68 54.67 55.67 56.66 57.66 I18.M 59.64
5.55 6.66 5. 77 6.88 6.99 6.10 6.21 6.31 6.42 6.63
liD. 67 61.67 &.66 63.M 54.M 55.64 56.63 67.63 118.62 69.61
5. 77 5.89 6.00 6.11 6.23 6.34 6.46 6.57 6.68 6.79
liO.M 61.64 &.63 63.63 54.62 55.61 56.60 67.60 118.59 59.118
5.99 6.11 6.23 6.35 6.46 6.56 6.70 6.82 6.93 7.05
hi & 63 M 55 56 67 118 59 60
61 62 63 64 M 66 67 68 69
60.67 61.66 62.M 63.M 64.64 G6.64 66.63 67.63 68.62 69.62
6.38 6.48 6.59 6.69 6.79 6.00 7.00 7.11 7.21 7.32
60.64 61.63 62.63 63.62 .64.61 65.61 66.60 67.60 68.59 69.118
6.64 6.75 6.86 6. 97 7.08 7.19 7.29 7.40 7.51 7.62
60.61 61.60 62.60 63.59 64.118 65.118 66.57 67.56 68.56 69.55
6. 91 7.02 7.13 7.25 7.36 7.47 7.118 7.70 7.81 7.92
60.68 61.67 62,56 63.56 64.55 M.M 66.M 67.63 68.& 69.61
7.17 7.29 7.40 7.& 7.64 7.~ 7. 7.99 8.11 8.23
61 62 63 64 M 66 67 68 69 70
7.42 7.63 7.63 7.74 7.84 7.94 8.05 8.15 8.26 8.36
70.68 71.57 72.67 73.56 74.55 75.55 76.M 77.M 78. 63 79.63
7.73 7.84 7.95 8.06 8.17 8.27 8.38 8.49 8.60 8.71
70.M 71.M 72.63 73.& 74.& 75. 51 76.51 77. liD 78.49 79.49
8.04 8.15 8.26 8.38 8.49 8.60 8.72 8.83 8.94 9.06
70.61 71. liD 72.49 73.49 74.48 76.47 76.47 77.46 78.46 79.46
8.M 8.46 8.118 8.70 8.82 8.93 9.05 9.17 9.29 9.40
71 72 73 74 76
80
70.61 71.61 72.60 73.59 74.59 75.118 76.118 77.67 78.67 79.56
81 82 83 84 85 86 87 88 89 00
80.56 81.55 82.55 83.M 84.63 85.63 86.& 87.& 88.51 89.51
8.47 8.&7 8.68 8.78 8.88 8.99 9.09 9.30 9.41
80.& 81.51 82.51 83. liD 84. liD 85.49 86.48 87.48 88.47 89.47
8.82 8.93 9.04 9.14 9.25 9.36 9.47 9.118 9.69 9.80
80.48 81. 47 82.47 83.46 84.45 85.45 86.44 87.43 88.43 89.42
9.17 9.28 9.40 9.51 9.62 9.74 9.85 9.00 10.08 10.19
80.44 81.43 82.42 83.42 84.41 85.40 86.40 87.39 88.38 89.38
9.& 9.64 9.76 9.87 9.99 10.11 10.23 10.34 10.46 10.68
91 92
00. liD 91. liD 92.49 93.49 94.48 95.47 96.47 97.46
9.61 9.62 9.72 9.83 9.93 10.03 10.14 10.24 10.35 10.45
1¥l.46 91. 45 92.45 93.44 94.44 95. 43 00.42 97.42 98.41 99.41
9.91 10.02 10.12 10.23 10.34 10.45 10.56 10.67 10.78 10.89 ---
90.42 91.41 92.40 93.40 94.39 95.38 00.38 97.37 98.36 99.36
10.30 10.41 10.63 10.64 10.75 10.87 10.98
90.37 91.36 92.36 93.35 94.34 95.33 00.33 97.32 98.31 99.31
10.70 10.81 10.93 11.05 11.17 11.28 11.40 11.62 11.64 11.75
Dep.
Lat.
Dep.
-- --- - - - - - - - -
70 71 72 73 74 76 76 77 78
79
~
94 95 96
'¥1 98
99 100
98.~6
99.45
9.~
- - --- - - - - - t Dep. Lat. Dep. ~
J1l A
84°.
Dep. --- - Lat.
1l.09
11.21 11.32
Dep.
83~·.
Lat.
83).2°.
21
~
--- - - - - -
--- ---
Lat.
Dep.
Lat.
,
Ii'
Dep.
I
:
76
77 78 N 80 81 82 83 84 85 86 87
88
89 00
~
93 94 95
96 97
98
99 100
-Lat.
~o.
8 : ~
:;
A
,
TABLE f.-TRAYBRSE TABLB. t::!
7°.
Ir
I
--
Lat.
Dep.
Lat.
--- - - -
m··
7~0.
7)1.°.
Lat.
Dep.
---
Dep.
Lat.
Dep.
I ~
--- --- ------ - -
I 2 3 4 5 6 7 8 9 10
0.99 1.99 2.98 3.97 4.96 5.96 6.95 7.94 8.93 9.93
0.12 0.24 0.37 0.49 0.61 0.73 0.85 0.97 1.10 1.22
0.99 1.98 2.98 3.97 4.96 5.95 6.94 7.94 8.93 9.92
0.13 0.25 0.38 0.00 0.63 0.76 0.88 1.01 1.14 1.26
0.99 1.98 2.97 3.97 4.96 5.95 6.94 7.93 8.92 9.91
0.13 0.26 0.39 0.62 0.65 0.78 0.91 1.04 1.17 1.31
0.99 1.98 2.97 3.96 4.95 5.95 6.94 7.93 8.92 9.91
0.13 0.27 0.40 0.54 0.67 0.81 0.94 1.08 1.21 1.35
1 2 3 4 5 6 7 8 9 10
11
10.92 11.91 12.90 13.90 14.89 15.88 16.frl 17.frl 18.86 19.85
1.34 1.46 1.68 1. 71 1.83 1.95 2.07 2.19 2.32 2.44
10.91 11.90 12.90 13.89 14.88 15.frl 16.86 17.86 18.85 19.84
1.39 1.61 1.64 1. 77 1.89 2.02 2.15 2.27 2.40 2.62
10.91 11.90 12.89 13.88 H.frl 15.86 16.85 17.85 18.84 19.83
1.44 1.67 1. 70 1.83 1.96 2.09 2.22 2.35 2.48 2.61
10.90 11.89 12.88 13.frl 14.86 15.85 16.84 17.84 18.83 19.82
1.48 1.62 1. 75 1.89 2.02 2.16 2.29 2.43 2.56 2. 70
11 12 13 14 15 16 17 18 19 20
20.84 21.84 .22.83 23.82 24.81 25.81 26.81 27.79 28.78 29.78
2.56 2.68 2.81 2.92 3.05 3.17 3.29 3.41 3.& 3.66
20.83 21.82 22.82 23. 81 24.81 25.79 26.78 27.78 28.77 29.76
2.65 2.78 2.90 3.03 3.15 3.28 3.41 3.& 3.66 3.79
20:82 21.81 22.81 23.79 24.79 25.78 26.77 27.76 28.75 29.74
2.74 2.frl 3.00 3.13 3.26 3.39 3.62 3.65 3.79 3.92
20.81 21.81 22.79 23.78 24.77 25.76 26.75 27.74 28.74 29.73
2.83 2.97 3.10 3.24 3.37 3.51 3.64 3.78 3.91 4.05
21 22 23 24 25 26 27 29 30
30.77 31.76 32.75 33.75 34.74 35.73 36.72 37.72 38.71 39.70
3.78 3.90 4.02 4.14 4.27 4.39 4.61 4.63 4.75 4.frl
30.75 31. 74 32.74 33.73 34.72 36.70 37.70 38.69 39.68
3.91 4.04 4.16 4.29 4.42 4.54 4.67 4.81 4.92 5.05
30.73 31.73 32.72 33.71 34.70 35.69 36.68 37.67 38.67 39.66
4.05 4.18 4.31 4.44 4.57 4.70 4.83 4.96 5.09 5.22
30.72 31. 71 32.70 33.69 34.68 35.67 36.66 37.65 38.64 39.63
4.18 4.32 4.45 4.68 4.72 4.85 4.99 5.12 5.26 5.39
31 32 33 34 35 36 37 38 39 40
40.69 41.69 42.68 43.67 44.67 45.66 46.65 47.64 48.63 49.63
6.00 6.12 6.24 5.36 5.48 5.61 5.73 5.85 5.97 6.09
40.67 41. 66 42.66 43.65 44.64 45.63 46.62 47.62 48.61 49.60
5.17 5.30 5.43 5.55 5.68 5.81 5.93 6.00 6.18 6.31
40.65 41.64 42.63 43.62 44.62 45. 61 46.60 47.59 48.68 49.57
5.85 5.48 5.61 5.74 5.frl 6.00 6.13 6.27 6.40 6.53
40.63 41.62 42.61 43.60 44.59 45.68 46.57 47.56 48.55 49.54
5.53 5.66 5.81 5.93 6.07 6.20 6.34 6.47 6.61 6.74
41
12 13 14 15 16 17 18 19 20
21
22 23 24 25 26 27 28 29
30 31 32 33 34 35 36 37 38 39 40
41 42 43 44 45
46 47 48 49 00
35.71
28
42 43 44 45 46 47 48 49 00
- - --- - - - - - - --- - - - --- --- - - - - 8
Lat.
Dep.
j
.!I
A
sa·.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
~
S
82'4 0•
82~·.
22
82)1.·.
.!!l
A
TAKE 4.-TIUVJlBSE TABLE.
e
m·.
7°.
S'
g ~
Lat.
61 62 53 M" 66 56 67 58 Ii9 60
50.62 51. 61 62.60 53.60 54.59 55.58 56.58 67.57 58.56 69.65
6.82
61 62 63 64 66 66 67 68 69 70 71
Dep.
Lat.
Dep.
Lat.
- - --- --- - - - -
e
7~·.
7~0.
Dep.
- - - ---
Lat.
(
Dep.
~
--- --- - -
6. 96 7.07 7.19 7.31
5O.1i9 51.58 62.58 53.57 M.56 55.66 56.54 57.54 58.53 69.62
6.44 6.56 6.69 6.81 6.94 7.07 7.19 7.32 7.45 7.57
50.56 51.56 52. 66 53.54 54.53 55. 52 56.51 67.50 58.50 69.49
6.66 6.79 6. 92 7.05 • 7.18 7.31 7.44 7.57 7.70 " 7. sa
50.53 61. 53 62.62 53.61 54.50 55. 49 56.48 57.47 58.46 69.45
6.88 7.01 7.15 7.28 7.42 7.66 7.69 7.82 7.96 8.011
61 62 53 54 66 56 67 58 59 60
60.65 61.54 62.53 63.62 64.62 65. 51 66.50 67.49 68. 49 "69.48
7.43 7.56 7.68 7. SO 7.92 8.04 8.17 8.29 8. 41 8.53
60.51 61.50 62.50 63.49 64.48 65.47 66.46 67.46 68.45 69.44
7.70 7.82 7.95 8.08 8.20 8.33 8.46 8.58 8.71 8. sa
60.48 61.47 62. 46 63.46 64.44 65.44 66.43 67.42 68. 41 69.40
7.96 8.011 8.22 8.35 8. 48 8. 61 8. 76 8.88 9.01 9.14
60.44 61.43 62.42 63.42 64. 41 65.40 66.39 67.38 68.37 69.36
8.23 8.36 8.50 8.63 "8. 77 8.90 9.04 9.17 9.30 9.44
61 62 63 64 65 66 67 68 69 70
70.47 71.46 72. 46 73.45 74. 44 "75. 43 76.43 77.42 78. 41 79.40
8.65 8. 77 8.90 9.02 9.14 9.26 9.38 9.61 9.63 9.76
70.43 71.42 72. 42 73. 41 74.40 75. 39 76.38 77.38 78. 37 79.36
8.96 9.011 9.21 9.34 9.46 9.69 9.72 9.84 9.97 10.10
70.39 71.38 72.38 73.37 74.36 75. 35 76. 34 77.33 78. 32 79.32
9.27 9.40 9.53 9.66 9.79 9.92 10.05 10.18 10.31 10.44
70.35 71.34 72.33 73. 32 74. 31 75.31 76. 30 77.29 78.28 79.27
9.57 9.71 9.84 9.98 10.11 10.25 10.38 10.62 10.65 10.79
71 72 73 74 75 76 77 78
84 85 86 87 88 89 90
80.40 81.39 82.38 83.37 84.37 85.36 86.35 87.34 88.34 89.33
9.87 9.99 10.12 10.24 10.36 10.48 10.60 10.72 10.85 10.97
SO. 35 81.34 82.34 sa. 33 84.32 85. 31 86.30 87.30 88.29 89.28
10.22 10.35 10. 47 10.60 10.73 10.85 10.98 11.11 11.23 11. 36
80.31 81.30 82.29 83.28 84.27 85.26 86.26 87.25 88.24 89.23
10.57 10.70 10. sa 10.96 11.011 11.23 11. 36 11.49 11.62 11.75
80.26 81. 25 82. 24 sa. 23 84.22 85. 21 86.21 87.20 88.19 89.18
10.92 11.06 11.19 11.33 11.46 11.60 11. 73 11. 87 12.00 12.14
91 92 93 94 95 96 97 98 99 100
90.32 91.31 92.31 93.30 94.29 95.28 96.28 97.27 98. 26 99.25
11.011 11.21 11.33 11.46 11.58 11.70 11.82 11.94 12.07 12.19
90.22 91.21 92.20 93. 20 94.19 95. 18 96.17 97.16 98.15 99.14
11.88 12.01 12.14 12.27 12. 40 12.53 12.66 12.79 12.92 13.05
90.17 91.16 92.15 93.14 94.13 95.12 96.11 97.10 98.10 99.011
12. 27 12.41 12.M 12.68 12. 81 12. 95 13. 08 13.22 13.35 13. 49
72 73 74 75 76 77 78
79 80 81 82
sa
6.22 6.34 6.46 6.58 6. 70
- - ------
I A
Dep.
sao.
Lat.
90.27 11.48 91.26 11.61 92.26 11.74 93. 25 11.86 94. 24 11.99 95. 23 12.12 96.22 12.24 97.22 12.37 98. 21 12. 49 99.20 12.62 --- ---
Dep.
79 SO 81
82
sa
84 85 86 87 88 89 90 91 92 93 94 96 96 97 98 99 100
- - - - - - - - --- - -
Lat.
Dep.
Lat.
82~·.
~o.
I
23
Dep.
Lat.
82~·.
§ ~
A
TABLE f.-TIU.V&&SB T.uLE. t:t
f
Lat.
Lat.
Lat.
Dep.
Dep.
Lat.
Dep.
---------
1 2 3 4
0.99 1. 98 2.97 3.96 4.95 5.94 6.93 7.92 8.91 9. 90
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
0.14 0.28 0.42 0.1i6 0.70 0.84 0.97 1.11 1.25 1.39
i
0.99 1.98 2.97 3.96 4.96 5.94 6.93 7.92 8.91 9.90
0.14 0.29 0.43 0.57 0.72 0.86 1.00 1.15 1. 29 1.43
0.99 1.98 2.97 3.00 4.95 5.93 6.92 7.91 8.90 9.89
0.15 0.30 0.44 0.69 0.74 0.89 1.03 1.18 1.33 l.fS
0.99 1.98 2.97 3.96 4.94 5.93 6.92 7.91 8.90 9.88
0.15 0.30 0.46 0.61 0.76 0.91 1.00 1.22 1.37 1.62
1 2 3 4 5 6 7 8 9 10
10.89 11.88 12.87 13. 86 14.84 15.83 16.82 17.81 18.80 19.79
1.58 1.72 1.87 2.01 2.15 2.30 2.44 2.58 2. 73 2.87
10.88 11.87 12.86 13. 85 14. 84 15.82 16.81 17.80 18. 79 19.78
1.63 1. 77 1.92 2.07 2.22 2.36 2.51
10.87 11.86 12.85 13.84 14.83 15.81 16.80 17.79 18.78 19.77
1.67 1.83 1.98 2.13 2.28 2.43 2.59 2.74 2.89 3.04
11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
13.86 14.85 15. 84 16.83 17.82 18.82 19.81
1.53 1.67 1.81 1.95 2.09 2.23 2.37 2.51 2.64 2.78
20.80 21.79 22.78 23.77 24.76 25.75 26.74 27.73 28.72 29.71
2.92 3.06 3.20 3.34 3.fS 3.62 3.76 3.90 4.04 4.18
20.78 21.77 22.76 23.75 24.74 25.73 26.72 27.71 28.70 29.69
3.01 3.16 3.30 3.44 3.59 3.73 3.87 4.02 4.16 4.30
20.77 21.76 22.75 23.74 24.73 25.71 26.70 27.69 28.68 29.67
3.10 3.25 3.40 3.55 3.70 3.84 3.99 4.14 4.29 4.43
20.76 21.74 22.73 23.72 24.71 25.70 26.69 27.67 29.65
3.19 3.35 3.50 3.65 3.80 3.96 4.11 4.26 4. 41 4.1i6
30.70 31.69 32.68 33.67 34.66 35.65 36.64 37.63 38.62 39.61
4. 31 4.45 4.59 4. 73 4.87 5.01 5. 15 1 5.29 5. 43 I 5. 57 .
30.68 31.67 32.66 33.65 34.64 35.63 36.62 37.61 38.60 39.69
4. 45/ 4.59 4.74 4.88 5.02 5.17 5.31 5.45 1 5.60 I). 74
30.66
33 34 35 36 37 38 39 40
31.65 32.64 33.63 34.62 35.60 36.59 37.58 38.67 39.1i6
4.58 4.73 4.88 5.03 5.17 5. 32 5. 47 5.62 5. 76 5.91
30.64 31.63 32.62 33.60 34.59 35.58 36.57 37.1i6 38.55 39.63
4.72 4.87 5.02 5.17 5.32 5.fS 5.63 5.78 5.93 6.08
31 32 33 34 35 36 37 38
41 42 43 44 45 46 47 fS <9 50
40. 60 5. 71 41.59 5.85 42. 58 5. 98 43. 57 6. 12 44. Ii6 6.26 45. 55 6. 40 46.64 6.64 47.53 6.68 fS.52 6.82 49.51 _6.96
40. 58 41.57 42. 55 43. 64 44. 63 45. 52 46.51 47.50 fS.49 49.48
6.88 6.03 6. 17 6.31 6.46 6. 60 6.74 6.89 7.03 7.17
40. 55 41.64 42. 63 43.52 44.51 45. 49 46. fS 47.47 48.46 49.45
6. 00 40. 62 6.2141.51 6. 36 42. 50 6.50 43.49 6.65 44. fS 6. 80 45. 46 6. 95 46.45 7.09 47.44 7.24 fS.43 7.39 49.42
6. 24 6.39 6. 64 6.69 6.85 7. 00 7.15 7.30 7.45 7.61
41 42 43 44 45 46 47 fS 49 50
10.89
28
29 30 31 3:.l
~
~
I
~U~ I
21 22 23 .24 25 26 27
_
Dep.
$(0.
8~·.
8W·
8°.
I
1
'Dep. 82°.
28.66
-1-----
Lat. 1 Dep. J
2.66
2.81 2.96
Lat.
81W·
Dep.
1
24
Lat.
81W·
Dep.
Lat.
81~0.
28
29 30
39
40
-~
~
, ~
TABLB •. -TBAVUSE TULI.' 8~0.
8°.
Lat.
Dep.
Let.
~
8,,°.
Let.
Dep.
--- --- --- - - - - - - -
Dep.
t::!
Ii"
Dep.
SCI ~
--- ---- -
.
61 62 63 64
Let.
..
51.46 62.45 63.44 M.43 65.42 66.41 57.40 68.39 59.38
7.32 7.46 7.61 7.75 7.89 8.04 8.18 8.32 8.47 8.61
51. 43 52.42 63.41 M.4O 55.38 56.37 57.36 68.35 59.34
7.M 7.69 7.83 7.98 8.13 8.28 8.43 8.57 8.72 8.87
51.39 52.38 63.37 M.36 65.35 66.34 57.32 68.31 59.30
7.76 7.91 8.06 8.21 8.37 8.52 8.67 8.82 8.98 9.13
61 62 63 M
1i9.42
7.10 7.24 7.38 7.52 7.65 7.79 7.93 8.07 8.21 8.35
61 62 63 04 65 66 67 68 69 70
60.41 61.40 62.39 63.38 64.37 65.36 66.35 67.34 68.33 69.32
8.49 8.113 8.77 8.91 9.05 9.19 9.32 9.46 9.60 9.74
60.37 61.36 62.35 63.34 64.33 65.32 66.31 67.30 68.29 69.28
8.75 8.90 9.04 9.18 9.33 9.47 9.61 9.76 9.90 10.04
60.33 61.32 62.31 63.30 64.29 65.28 66.211 67.25 68.24 69.23
9.02 9.16 9.31 9.46 9.61 9.76 9.90 10.05 10.20 10.35
60.29 61.28 62.27 63.26 64.24 65.23 61\.22 67.21 68.20 69.19
9.28 9.43 9.58 9.74 9.89 10.04 10.19 10.34 10.50 10.65
61 62 63 64 65 66 67 68
71 72 73 74 76 76 77 78 19 80
70.31 71.30 72.29 73.28 74.27 75.20 7G.25 77.24 78. 23 79.22
9.88 10.02 10.16 10.30 10.44 10.58 10.72 10.86 10.99 11.13
70.27 71.25 72.2-1 73.23 74.22 75.21 76.20 77.19 78.18 19.17
10.19 10.33 10.47 10.62 10.76 10.91 11.05 11.19 11.34 11.48
70.22 71.21 72.20 73.10 74.18 75.17 76.15 77.14 78.13 79.12
10.49 10.04 10.79 10.94 11.09 11.23 11. 38 11.5.1 11.&i 11.82
70.17 71.16 72.15 73.14 74.13 75.12 76.10 77.09 78.08 79.07
10. 81) 10.95 11.11 11.26 11.41 11.56 11.71 11.87 12.02 12.17
71 72 73 74 75 76 77 78 79 SO
ill
82 83 84 &5 86 87 88 89 90
80.21 81.20 82.19 83.18 84.17 85.16 86.15 87.14 88.13 89.12
11.27 11.41 11.55 11.69 11.83 11.97 12.11 12.25 12.39 12.63
80.16 81.15 @2.14 83.13 84.12 85.11 86.10 87.09 88.08 89.07
11.62 11.77 11.91 12.05 12.20 12.34 12.4H 12.63 12.77 12.91
SO. 11 81. 10 82.09 83.08 84.07 &5.06 86.04 87.03 SS.02 89.01
11.97 12.12 12.27 12.42 12.56 12.71 12.86 13.01 13.10 13.30
80.06 81. 05 82.03 &3.02 84. 01 &5.00 85.99 86.98 87.96 88.95
12.32 12.47 12.113 12.78 12.93 13.08 13.23 13.39 13.M 13.69
81 82 83 84 &5 86 87 88 89 90
91 92 93 94 OS 96 97 98 99 100
90.11 91.10 92.09 93.09 94.08 95.07 96.06 97.05 98.04 99.03
12. 66 12. SO 12.94 13.08 13.22 13.36 13.50 13.64 13.78 13.92
90.06 91.05 92.04 93.03 94.02 95.01 96.00 96.99 97.98 98.97
13.1)6 13.20 13. 34 13.49 13.63 13.78 13.92 14.06 14.21
90.00 90.99 91.98 92.97 93.96 94.95 95.93 96.92 97.91 98.00
13.45 13.60 13.75 13.89 14.04 14.19 14.34 14.49 14.63 14.78
89.94 9O.1l:I 91.92 92.91 93.89 94.88 95.87 96.86 97.85 98.84
13.84 14.00 14.15 14.30 14.45 14.60 14.76 14.91 15.06 15. 21
91 92 93 94 95 96 97 98 99 100
Dep.
Lat.
Dep.
Lat.
65
66
57
68 59 60
~.~
61.49 62.48 63.47 M.46 65.46 66.45 57.44 68.43
~.47
- -1 - - Dep.
J
82°.
Lat.
Dep.
~.44
14.3.~
~I
81W·
I
~.41
65
66 57
68
59 60
69
70
-8Uio.
81~0.
i
j
A
.
TABLa f.-Tti VIIS. TABLL t:; Ill'
9~o.
9°.
t:;
~o.
D~·.
Ii'
g ft
Lat.
Dep.
Lat.
Dep.
Let.
- - --- - - - --- -
Dep.
Lat.
Dep.
- - - ---
J
I 2 3 4 6 6 7 8 9 10
0.99 1.98 2.96 3.96 4.94 6.93 6. 91 7.90 8.89 9.88
0.16 0.31 0.47 0.63 0.78 0.94 1.10 1.26 1.41 1.56
0.99 1.97 2.96 3.96 4.93 6.92 6. 91 7.90 8.88 9.87
0.16 0.32 0.48 0.64 O.SO 0.96 1.13 1.29 1.46 1.61
0.99 1. 97 2.96 3.96 4.93 6.92 6.90 7.89 8.88 9.86
0.17 0.33 0.50 0.00 0.83 0.99 1.16 1.32 1.49 1.66
0.99 1.97 2.96 3.94 4.93 6.91 6.90 7.88 8.87 9.86
0.17 0.34 0.61 0.68 0.36 1.02 1.19 1.36 1. 62 1.69
1 2 3 4 6 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10. 86 11.85 12.84 13. 83 14.82 15.80 16. 79 17.73 18. 77 19.75
1.72 1.88 2.03 2.19 2.36 2.50 2.00 2.82 2.97 3.13
10.86 11.84 12.83 13. 82 14.80 15.79 16.78 17.77 18. 75 19.74
1.77 1.93 2.09 2.26 241 2.67 2.73 2.89 3.05 3. 21
10.36 11.84 12. 82 13.81 14. 79 15.78 16. 77 17.75 18. 74 19.73
1.82 1.98 2.15 2. 31 2.48 2.64 2.81 2.97 3.14 3.30
10.84 11.83 12. 81 13. 80 14. 73 16. 77 16. 75 17.74 18.73 19.71
1.86 2.03 2.20 2.87 2.M 2.71 2.88 3.05 3.22 3.39
11 12 13 14 16 16 17 18 19 20
21
30
20.7. 21.73 22.72 23.70 24.69 26.68 26.67 27.66 28.64 29.63
3.2D 3.« 3.60 3.75 3. 91 4.07 4.22 4.38 4.M 4.69
20.73 21. 71 22.70 23.69 24.67 26.66 26.66 27.64 28.62 29.61
3.38 3.M 3.70 3.86 4.02 4.18 4.34 4.50 4.66 4.82
20.71 21.70 22.68 23.67 24.66 26.64 26.63 27.62 28.60 29.69
3. 47 3.63 3.80 3.96 4.13 4.29 4.46 4.62 4.79 4.96
20.70 21.68 22.67 23.66 24.64 26.62 26. 61 27.60 28.68 29.57
3.56 3.73 3.90 4.06 4.23 4.40 4. 57 4. 74 4. 91 5.08
31 32 33 34 36 36 37 38 39 40
30.62 31.61 32.59 33.68 34.57 36.66 36.M 37.53 38.52 39.61
4.36 6.01 6.16 5.32 5.48 5.63 5.79 6.94 6.10 6.26
30.60 31.68 32.57 33.66 34.M 36.53 36.52 37.51 38.49 39.48
4.98 5.14 5.30 5.47 5.63 5.79 5.96 6.11 6. 27 6.43
30.67 31.66 32.55 33.53 34. 52 36.51 36. 49 37.48 38.47 39.46
5.12 30.55 5.28 31.M 32.62 5.46 5.61 , 33. 51 34. 49 5.78 5.94 36.48 36. 47 6.11 37.46 6.27 6. 44 38.« 6.60 39.42
5.26 5.42 6.59 6.76 6.93 6.10 6.27 6.« 6.60 6.77
31 32 33 34 36 36 37 38 39 40
41 42 43 « 46 46 47 48 49 50
40.50 41.48 42. 47 43.46 44.46 45.43 46.42 47.41 48. 40 49.38
6.41 6.57 6.73 6.88 7.04 7.20 7.36 7.51 7.67 7.82
40.47 41. 46 42.« 43.43 44.41 46.40 46.39 47.38 48.36 49.36
6.69 6.75 6. 91 7.07 7.23 7.39 7.55 7.72 7.88 8.04
40.« 41.42 42.41 43.40 44.38 46.37 46.36 47.34 48.33 49.32
6.77 6.92 7.10 7.26 7.43 7.59 7.76 7.92 8.09 8.26
6.94 7.11 7.28 7.46 7.62 7.79 7.96 8.13 8.30 8. 47
41 42 43 « 46 46 47 48 49 60
--
---
I
Dep.
22 28
24 26 26 27 28 29
~
I-
Lat. 81°.
Dep.
Lat.
Dep.
Lat.
8OJ.i0.
80",40.
26
40.41 41. 39 42.38 43.36 44.36 46.34 46.32 47.31 48.29
49.28
21
22 28
24 25 20 27 28 29 30
--- - - - - Dep.
Lat.
souo.
j J!I ~
TABLE 4.-TBA VERSE TABLE. g••
t::j
Iii
9~·.
J -- --- --Lat.
Dep.
60.37 51.36
56.31 511.30 67.29 68.27 69.26
7.98 8.13 8.29 8.45 8.60 8. 76 8.92 9.07 9.23 9.39
63 64 65 66 67 68 69 70
60.25 61.24 62.22 63.21 64.20 65.19 66.18 67.16 68.15 69.14
71 72 73 74 76 76 77 78 79 80
Lat.
9',,0.
9~·.
Lat.
Dep.
--- ---
Lat.
Dep.
i ~
--- - - - --- - - - - -
56.27 66.26 67.25 68.23 69.22
8.20 8.36 8.52 8.68 8.84 9.00 9.16 9.32 9.48 9.64
60.30 51.29 62.27 53.26 54.25 56.23 56.22 57.20 68.19 59.18
8. 42 8.68 8. 75 8. 91 9.08 9:24 9.41 9.57 9.74 9.90
60.26 51. 25 62.23 53.22 54. 21 56.19 56.18 67.16 68.15 69.13
8.64 8. 81 8.98 9.14 9.31 9.48 9.65 9.82 9.99 10.16
51 52 53 54 56 56 57 68 69 60
9.54 9.70 9.86 10.01 10.17 10.32 10.48 10.64 10.79 10.95
60.21 61.19 62.18 63.17 64.15 65.14 f>6.13 67.12 68.10 69.09
9.81 9.97 10.13 10.29 10.45 10.61 10.77 10.93 11.09 11.25
60.16 61.15 62.14 63.12 64.11 65.09 66.08 67.07 68.05 69.04
10.07 10.23 10.40 10.56 10.73 10.89 11.06 11.22 11.39 11.55
60.12 61.10 62.09 63.08 64.06 65.05 66.03 67.02 68.00 68.99
10.33 10.60 10.67 10.84 11.01 11.18 11.35 11.52 11.69 11.85
61 62 63 64 65 66 67 68 69 70
70.13 71.11 72.10 73.09 74.08 75.06 76.05 77.04 78.03 79.02
11.11 11.26 11.42 11.58 11.73 11.89 12.05 12.20 12.36 12.51
70.08 71.06 72.05 73.04 74.02 75.01 76.00 76.99 77.97 78.96
11.41 11.57 11.73 11.89 12.06 12.22 12.38 12.54 12.70 12.86
70.03 71.01 72.00 72.99 73. 97 74.96 75.94 76.93 77.92 78.90
11.72 11.SS 12.05 12.21 12.38 12.54 12.71 12.1!1 13.04 13.20
69.97 70.96 71.95 72. 93 73.92 74.90 ·76.89 76.1!1 77.86 78.84
12.02 12.19 12.36 12.53 12.70 12.1!1 13.04 13.21 13.38 13.65
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 1!1 SS 89 90
80.00 80.99 81.98 82.97 83.95 84.94 85.93 86.92 87.90 SS.89
12.67 12.83 12.98 13.14 13.30 13.45 13.61 13.77 13.92 14.08
79.95 80.93 81.92 82.91 83.89 .84.SS 85.87 86.86 87.84 SS.83
13.02 13.18 13.34 13.60 13.66 13.82 13.98 14.15 14.31 14.47
79.89 8O.SS 81.86 82.85 83.83 84.82 85.81 86.79 87.78 88. 77
13.37 13.53 13.70 13.86 14.03 14.19 14.36 14.52 14.69 '14.85
79.83 80.82 81.80 82.79 83.77 84.76 85.74 86.73 87.71 SS.70
13.72 13.89 14.06 14.23 14.39 14.66 14.73 14. 90 15.07 15.24
81 82 83 84 85 86 87 SS 89 90
91 92 93 94 95 96 97 98 99 100
89.SS 90.87 91.86 92.84 93.83 94.82 95.81 96.79 97.78 98.77
14.24 14.39 14.55 14.70 14.86 15.02 15.17 16.33 15.49 15.64
89.82 90.80 91.79 92.78 93.76 94.75 95.74 96.73 97.71 98.70
14.63 14.79 14.95 15.11 15.27 15.43 15.59 15.75 15.91 16.07
89.75 90.74 91.72 92.71 93.70 94.68 95.67 96.66 97.64 98.63
15.02 15.18 15.35 15.61 15.68 15.84 16.01 16.17 16.34 16.60
89.69 90.67 91.66 92.64 93.63 94.61 95.60 96.58 97.57 98.56
15.41 15.58 15.75 15.92 16.09 16.26 16.43 16.60 16.77 16.93
91 92 93 94 95 96 97 98 99 100
Lat.
Dep.
Lat.
Dep.
Lat.
61 62 53
52.36
56 66 57 68 59 60
54
111
&
53.34
54.32
60.34 51.32 52.31 53.30
Dep.
t::j
54.28
- - --- --- - - - - - - - - - - - - --- - - -I -
I A
Lat.
Dep. 81°.
Dep.
SOl,,·.
80~·.
27
80~·.
j A
TABLE 100.
t::1
r0-
~.-fIUVJ!lI&SE
~o.
fAaLB.
lot°.
1O~0.
1::1
g t !i Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. ~ - - --- - - - , - - - - --- --- - - - --- - I 2 3 4 5 6 7 8 9 10
0.98 1.97 2.95 3.94 4.92 5.91 6.89 7.88 8.86 9.85
0.17 0.35 0.52 0.69 0.87 1.04 1.22 1.39 1.56 1.74
0.98 1.97 2.95 3.94 4.92 6.90 6.89 7.87 8.86 9.84
0.18 0.36 0.53 0.71 0.89 1.07 1.25 1.42 1.60 1.78
11 12 13 14 15 16 17 18 19 20
10.83 11.82 12.80 13.79 14.77 15.76 16. 74 17.73 18. 71 19.70
i. 91 2.08 2.26 2.43 2.60 2. 78 2.95 3.13 3.30 3.47
10.82 11.81 12.79 13.78 14.76 15.74 16.73 17.71 18. 70 19.68
21 22
20.68 21.67 22.65 23.64 24.62 25.61 26.59 27.57 28.56 29.54
3.65 3.82 3.99 4.17 4.34 4.51 4.69 4.86 5.04 5.21
30.53 31.51 32.50 33.48 34.47 35.45 36.44 37.42 38.41 39.39 40.38 41.36 42.35 43.33 44.32 45.30 46.29 47.27 48.26 49.24
23 24 25 26
27 28 29 30 31
32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
49 50
7.87 8.85 9.83
0.18 0.36 0.65 0. 73 0.91 1.09 1.28 1.46 1.64 1.82
7.86 8.84 9.82
0.19 0.37 0.56 0.75 0.93 1.12 1.31 1.49 1.68 1.87
1.96 2.14 2.31 2.49 2.67 2.85 3.03 3.20 3.38 3.56
10.82 11.80 12.78 13.77 14.75 15.73 16.72 17.70 18.68 19.67
2.00 2.19 2.37 2.55 2.73 2.92 3.10 3.28 3.46 3.64
10.81 11.79 12.77 13.75 14.74 15. 72 16.70 17.68 18.67 19.65
2.05 2.24 2.42 2.61 2.80 2.98 3.17 3.36. 3.54 3. 73
20.66 21.65 22.63 23.62 24.60 25.59 26.57 27.55 28.54 29.52
3.74 3.91 4.09 4.27 4.45 4.63 4.80 4.98 5.16 5.34
20.65 21.63 22.61 23.60 24.58 25.56 26.55 27.53 28.51 29.50
3.83 4.01 4.19 4.37 4.56 4.74 4.92 5. IO 5.28 5.47
20.63 21.61 22.60 23.58 24.56 25.54 26.53 27.51 28.49 29.47
3.92 4.10 4.29 4.48 4.66 4.85 5.04 5.22 5.41 5.60
5.38 5.56 5.73 5.90 6.08 6.25 6.42 6.60 6.77 6.95
30.51 31.49 32.47 33.46 34.44 35.43 36.41 37.39 38.38 39.36
5.52 5.69 5.87 6.05 6.23 6.41 6.68 6.76 6.94 7.12
30.48 31.46 32.45 33.43 34.41 35.40 3(".38 37.36 38.35 39.33
5.65 5.83 6.01 6.20 6.38 6.56 6.74 6.92 7.11 7.29
30.46 31.44 32.42 33.40 34.39 35.37 36.35 37.33 38.32 39.30
5.78 5.97 6.16 6.34 6.53 6.71 6.90 7.09 7.27 7.46
33 34 35 36 37 38 39
7.12 7.29 7.47 7.64 7.81 7.99 8.16 8.34 8.51 8.68
40.35 41.33 42.31 43.30 44.28 45.27 46.25 47.23 48.22 49.20
7.30 7.47 7.65 7.83 8.01 8.19 8.36 8.54 8.72 8.90
40.31 41.30 42.28 43.26 44.25 45.23 46.21 47.20 48.18 49.16
7.47 7.65 7.84 8. 02 8.20 8.38 8.57 8.75 8.93 9.11
40.28 41.26 42.25
7.65 7.83 8.02 8. 21 8.39 8.58 8.77 8.95 9.14 9.33
41 42 43 44 45 46 47 48 49 50
0.98 1.97 2.95 3.93 4.92 5.90
6.88
0.98 1.96 2.95 3.93 4.91 5.89
6.88
43.23
44.21 45.19 46.18 47.16 48.14 49.12
1 2 3 4 5
6 7 8 9 10 11 12
13 14
15
16 17 18 19 20 21 22 23 24 25 26
27 28 29 30 31
32
40
- - - - - - - - --- --- - - - --- - - - ---- -
j A
Dep. 80".
Lat.
Dep.
Lat.
793,40,
Dep.
I 28
Lat.
79~".
Dep.
Lat.
79~0.
j
A
TA.BLE f.-TRAVERSE TA.BLE.
J
1~0.
10°.
Ij I;;
Lat.
Dep.
Lat.
I
Dep.
1~0.
Lat.
,I
I
DeP.!
------ ------
lo,~o.
Lat.
Dep.
------
Ij I;;
J
61 52 63 M 66 66 67 68 69 60
60.23 61.21 52.19 63.18 M.16 66.16 66.13 57.12 68.10 69.09
8.86 11.03 9.20 9.38 9.66 9.72 9.90 lO.07 lO.25 lO.42
60.19 61.17 52.15 63.14 M.12 66.11 66.09 67.07 68.06 00.04
9.08 9.26 9.43 9.61 9.79 9.96 10.14 10.32 10.60 10.68
60.16 51.13 52.11 63.lO M.08 66.06 66.06 57.03 68.01 69.00
6O.lO 29 9. 9.48 1 61.09 52.07 9.66 9.84 63.06 lO.02 M.03 lO.21 66.02 10.39 66.00 lO.57 66.98 10.75 57.96 lO.93 68.95
9.51 3.70 9.89 10.07 10.26 10.46 10.63 lO.82 11.00 11.19
51 52 63 M 66 66 67 68 69 60
61 62 63 64 65 66 67 68 69 70
60.07 61. 06 62.04 63.03 64.01 65.00 611.98 66.97 67.95 68.94
10.59 lO.77 10.94 11.11 11.29 11.46 11.63 11.81 11.98 12.16
60.03 61.01 61.99 62.98 63.96
10.85 11.03 11.21 11.39 11.57 11.74 11.92 12.lO 12.28 12.46
69.98 60.96 61.96 62.93 63.91 64.89 611.88 66.86 67.84 68.83
11.12 11.30 11.48 11.66 11.85 12.03 12.21 12.39 12.57 12.76
00.93 60.91 61.89 62.88 63.86 64.84 65.82 66.81 67.79 68.77
11.38 11.66 11.76 11.94 12.12 12.31 12.50 12.68 12.87 13.06
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
00.92 70.91 71.89 72.88 73.86 7(.85 75.83 76.82 77.80 78.78
12.33 12.50 12.68 12.85 13.02 13.20 13.37 13.M 13.72 13.89
73.80 74.70 75.77 76.76 77.74 78.72
12.63 12.81 12.99 13.17 13.35 13.52 13.70 13.88 14.06 14.24
69.81 70.79 71. 78 72.76 73.74 74.73 75.71 76.69 77.68 78.66
12.94 13.12 13.30 13.49 13.67 13.85 14.03 14.21 14.40 14.68
69.75 70.74 71.72 72.70 73.68 74.67 75.65 76.63 77.61 78.60
13.24 13.43 13.62 13.80 13.99 14.18 14.36 14.66 14.74 14.92
71 72 73 74 75 70 77 78 . 79 80
81 82 83 84 85 86 87 88 89 90
79.77 80.75 81.74 82.72 83.71 84.69 85.68 87.65 88.63
14.07 14.24 14.41 14.59 14.76 14.93 15.11 15. 28 15.45 15.63
79.71 80. GIl 81.68 82.66 83.M 84.63 85.61 86.60 87.68 88.66
14.41 14.59 14.7; 14.95 15.13 16.30 16.48 15.66 15.84 16.01
79.64 80.63 81.61 82.69 83.68 84.66 85.M 86.63 87.51 88.49
14.76 14.94 15.13 15.31 15.49 16.67 16.85 16.04 16.22 16.40
79.68 80.66 81.M 82.63 83.51 84.49 85.47 86.46 87.44 88.42
15.11 15.29 15.48 15.67 15.85 16.04 16.23 16.41 16.60 16.79
81 82 83 84 85 86 87 88 99 90
.1
89.62 90.00 91.00 92.57 93.50 94.M 96.63 96.51 97.50 98.48
15.80 15. 98 16.15 10.32 16.50 16.67 10.84 17.02 17.19 17.36
89.66 90.63 91. 52 92.60 93.48 94.47 95.45 96.44 97.42 98.40
16.19 16.37 16.66 10.73 16.90 17.08 17.26 17.44 17.62 17.79
89.48 90.46 91. 44 92.43 93.41 94.39 95.38 96.36 97.34 98.33
16.68 16.77 16.95 17.13 17.31 17.49 17.68 17.86 18.04 18.22
89.40 90.39 91.37 92.35 93.33 94.32 95.30 96.28 97.26 98.25
16.117 17.16 17.35 17.63 17.72 17.91 18.09 18.28 18.47 18.66
91 92 93 94 115 96 97 "98 99 100
112 93 94 95 96 17 98 99 100
86.66
f~.95
65.93 66.91 67.90 68.88 00.87 70.85 71.83
n.82
- ---- --- --- --- --- --- - ---- --
i
.l!i
~
Dep.
Lat. 80°.
Dep.
Lat.
Dap.
Lat.
~o.
791.4°.
29
Dep.
Lat.
79~·.
j
Q
TABLE f.-TRAVERSE TABLE. 110.
t::1
t' ~
Lat.
Dep.
- - --- ---
Lat.
11~0.
t::1
I»
Dep.
Lat.
Dep.
------ --- ---
Lat.
Dep.
t' ~
--- -----
I 2 3 4 6 6 7 8 9 10
0.98 1.96 2.94 3.93 4.91 5.89 6.87 7.85 8.83 9.82
0.19 0.38 0.57 0.76 0.95 1.14 1.34 1.53 1.72 1.91
0.98 1.96 2.94 3.92 4.90 5.88 6.87 7.85 8.83 9.81
0.20 0.39 0.59 0.78 0.98 1.17 1.37 1.56 1.76 1.95
0.98 1.96 2.94 3.92 4.90 6.88 6.86 7.84 8.82 9.80
0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.59 1.79 1.99
0.98 1.96 2.94 3.92 4.90 6.87 6.85 7.83 8.81 9.79
0.20 0.41 0.61 0.81 1.02 1.22 1.43 1.63 1.83 2.04
1 2 3 4 6 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10.80 11.78 12.76 13.74 14.72 15.71 16.69 17.67 18.65 19.63
2.10 2.29 2.48 2.67 2.86 3.05 3.24 3.43 3.63 3.82
10.79 11.77 12.75 13.73 14.71 15.69 16.67 17.65 18.63 19.62
2.15 2.34 2.M 2.73 2.93 3.12 3.32 3.61 3.71 3.90
10.78 11.76 12.74 13.72 14.70 15.68 16.66 17.64 18.62 19.60
2.19 2.39 2.59 2.79 2.99 3.19 3.39 3.59 3.79 3.99
10.77 11.75 12.73 13.71 14.69 15.68 16.64 17.62 18.60 19.58
2.24 2.44 2.65 2.85 3.05 3.26 3.46 3.66 3.87 4.07
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30'
20.61 21.60 22.58 23.56 24.M 25.62 26.50 27.49 28.47 29.45
4.01 4.20 4.39 4.58 4.77 4.96 6.15 5.34 5.53 6.72
20.60 21.58 22.56 23.M 24.52 25.50 26.48 27.46 28.44 29.42
4.10 4.29 4.49 4.68 4.88 5.07 6.27 5.46 5.66 5.85
20.58 21.56 22.M 23.62 24.50 25.48 26.46 27.44 28.42 29.40
4.19 4.39 4.59 4.78 4.98 6.18 5.38 5.58 6.78 5.98
20.56 21.M 22.62 23.50 24.48 25.46 26.43 27.41 28.39 29.37
4.28 4.48 4.68 4.89 5.09 5.29 5.50 5. 70 5. 91 6.11
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
ao.43 31.41 32.39 33.38 34.36 35.34 36.32 37.30 38.28 39.27
5.92 6.11 6.30 6.49 6.68 6.87 7.06 7.25 7.44 7.63
30.40 31.39 32.37 33.35 34.33 35.31 36.29 37.27 38.25 39.23
6.05 6.24 6.44 6.63 6.83 7.02 7.22 7.41 7.61 7.80
30.38 31.36 32.34 33.32 34.30 35.28 36.26 37.24 38.22 39.20
6.18 6.38 6.58 6.78 6.98 7.18 7.38 7.58 7.78 7.97
30.35 31.33 32.31 33.29 34.27 35.25 36.22 37.20 38.18 39.16
6.31 6.52 6.72 6.92 7.13 7.33 7.53 7.74 7.94 8.15
31 32 33 34 35 36 37 38 39 «l
41
.0.25 41.23 42.21 43.19 44.17 45.15 46.14 47.12 48.10 49.08
7.82 8.01 8.20 8• .0 8.59 8. 78 8.97 9.16 9.35 9.M
.0.21 41.19 42.17 43.15 44.14 .a. 12 46.10 47.08 48.06 49.04
8.00 8.19 8.39 8.58 8.78 8.97 9.17 9.36 9.56 9.75
.0.18 41.16 42.14 43.12 44.10 .a. 08 46.06 47.04 48.02 49.00
8.17 8.37 8.67 8.77 8.97 9.17 9.37 9.67 9.77 9.97
40.14 41.12 42.10 43.08 44.06 .a. 04 46.02 46.99 47.97 48.95
8.35 8.65 8.76 8.96 9.16 9.37 9.67 9.77 9.Q8 10.18
41
42 43 44
I
11~0.
11W·
I»
45 46 47 48 oW 50
42 43 44 45
46 47 48 49 50
- - --- - - - - - - - - - - - --- - - - ---- !
I
Dep. . 79°.
Lat.
Dep.
Lat.
Dep.
78,,0.
Lat.
78~0.
30
Dep.
Lat.
78~0 •
j
A
TA.BLE 4.-TEAVERSE TA.BLE. 11J1io.
11~0.
11°.
t:j
g
Lat.
51 52 53 54 55 56 57 68 59 60
50.06 51.04 52.03 53.01 53.99 54.97 55.95 56.93 57.92 68.90
9.73 9.92 10.11 10.30 10.49 10.69 10.88 11.07 11.26 11.45
50.02 51.00 51. 98 52.96 53.94 54.92 55.90 56.89 57.87 68.85
9.95 10.14 10.34 10.53 10.73 10.93 11.12 11.32 11.51 11.71
49.98 50.96 51.94 52.92 53.90 54.88 55.86 56.84 57.82 68.80
10.17 10.37 10.57 10.77 10.97 11.16 11.36 11.56 11.76 11.96
49.93 50.91 51.89 52.87 53.85 54.83 55.81 56.78 57.76 68.74
10.39 10.59 10.79 11.00 11.20 11.40 11.61 U.81 12.01 12.22
51 52 53 54 55 56 57 68 59 60
61 62 63 64 65 66 67 68 69 70
59.88 60.86 61. 84 62.82 63.81 64.79 65.77 66.75 67.73 68.71
11.64 11.83 12.02 12.21 12.40 12.59 12.78 12.98 13.17 13.36
59.83 60.81 61.79 62.77 63.75 64.73 65.71 66.69 67.67 68.65
11.90 12.10 12.29 12.49 12.68 12.88 13.07 13.27 13.46 13.66
59.78 60.76 61. 74 62.72 63.70 64.68 65.65 66.63 67.61 68.59
12.16 12.36 12.56 12.76 12.96 13.16 13.36 13.56 13.76 13.96
59.72 60.70 61.68 62.66 63.64 64.62 65.60 66.68 67.55 68.53
12.42 12.63 12.83 13.03 13.24 13.44 13.64 13.85 14.05 14.25
61 62 63 64 65 66 67 68 f9 70
71 72 73 74 75 76 77 78 79 80
69.70 70.68 71.66 72.64 73.62 74.60 75.59 76.57 77.55 78.53
13.55 13.74 13.93 14.12 14.31 14.50 14.69 14.88 15. en 15.26
69.64 70.62 71.60 72.68 73.56 74. 54 75.52 76.50 77.48 78. 46
13.85 14.05 14.24 14.44 14.63 14.83 15.02 15.22 15.41 15.61
69.57 70.55 71. 53 72. 51 73.49 74.47 75.45 76. 43 77.41 78. 39
14.16 14.35 14.55 14.75 14.95 15.15 15.35 15.55 15.75 15.95
69.51 70.49 71.47 72.45 73.43 74.41 75.39 76.37 77.34 78.32
14.46 14.66 14.87 15.07 15.27 15.48 15.68 15.88 16.09 16.29
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
79.51 80.49 81.48 82.46 83.44 84.42 85.40 86.38 87.36 88.35
15.46 15.65 15.84 16.03 16.22 16.41 16.60 16.79 16.98 17.17
79.44 80.42 81.41 82.39 83.37 84.35 85.33 86.31 87.29 88.27
15.80 16.00 16.19 16.39 16.68 16.78 16.97 17.17 17.36 17.56
79.37 80.35 81.33 82.31 83.29 84.27 85.25 86.23 87.21 88.19
16.15 16.35 16.55 16.75 16.95 17.15 17.35 17.54 17.74 17.94
79. 30 80.28 81.26 82.24 83.22 84.20 85.18 86.16 87.14 88.11
16.49 16.70 16.90 17.11 17.31 17.51 17.72 17.92 18.12 18.33
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
89.33 90.31 91.29 92.27 93.25 94.24 95.22 96.20 97.18 98.16
17.36 17.55 17.75 17.94 18.13 18.32 18.51 18.70 18.89 19,08
89.25 90.23 91.21 92.19 93.17 94.16 95.14 96.12 97.10 98.08
17.75 17.95 18.14 18.34 18.53 18.73 18.92 19.12 19.31 19.51
89.17 90.15 91.13
18.14 18.34 18.54 18.74 18.94 19.14 19.34 19.54 19.74 19.94
89.09 90.07 91.05 92.03 93. 01 93.99 94. 97 95.95 96.93 97.90
18.53 18.74 18.94 19.14 19.35 19.55 19.75 19.96 20.16 20.36
91
Dep.
Lat.
Dep.
Dep.
Lat.
t:j
g
'"
l"
Lat.
11"°.
Dep.
'"
!'
- ---- --- --- --- - - --- --- ---- -
9'J.11
93.09 94.07 95.05 96.03 97.01 97.99
- - --- - - - - - - - - - - - - - - -
t
~
.5
A
Dep. 79°.
Lat.
Dep.
Lat.
Dep.
Lat.
78J1io.
78",4°.
31
92
93 94 95 96 97 98 119 100
--- - - - - Dep.
Lat.
78)(".
8
j
TABLE ".-TRAVERSE TABLE. t:)
12°.
fn
-
J
Dep.
--- ---
Lat. ---
Dep.
Lat.
t:)
12~·.
Dep.
Lat.
/0'
Dep.
f
--- - - - - - - - - - - - - - -
I 2 3 4 5 6 7 8 9 10
0.98 1.96 2.93 3.91 4.89 5.87 6.85 7.83 8.80 9.78
0.21 0.42 0.62 0.83 1.04 1.25 1.46 1.66 1.87 2.08
0.98 1.95 2.93 3.91 4.89 5.86 6.84 7.82 8.80 9.77
0.21 0.42 0.64 0.85 1.06 1.27 1.49 1.70 1. 91 2.12
0.98 1.95 2.93 3.91 4.88 5.86 6.83 7.81 8.79 9.76
0.22 0.43 0.66 0.87 1.08 1.30 1.52 1. 73 1.95 2.16
0.98 1.95 2.93 3.90 4.88 5.85 6.83 7.80 8.78 9.75
0.22 0.44 0.66 0.88 1.10 1.32 1.54 1.77 1.99 2.21
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10.76 11.74 12.72 13.69 14.67 15.66 16.63 17.61 18.58 19.56
2.29 2.49 2.70 2.91 3.12 3.33 3.53 3. 74 3.95 4.16
10.75 11.73 12.70 13.68 14.66 15.64 16.61 17.00 18.57 19.54
2.33 2.55 2.76 2.97 3.18 3.39 3.61 3.82 4.03 4.24
10.74 11.72 12.69 13.67 14.64 15.62 16.60 17.57 18.55 19.53
2.38 2.60 2.81 3.03 3.25 3.46 3.ti8 3.90 4.11 4.33
10.73 11.70 12.68 13.66 14.63 15.61 16.58 17.56 18.53 19.51
2.43 2.66 2.87 3.09 3.31 3.53 3.75 3.97 4.19 4.41
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29
30
20.54 21.52 22.50 23.48 24.45 25.43 26.41 27.39 28. 37 29.34
4.37 4.57 4.78 4.99 5.20 5.41 5 .. 61 5.82 6.03 6.24
20.52 21.50 22.48 23.45 24.43 25.41 26.39 27.36 28.34 29.32
4.46 4.67 4.88 5.09 5.30 5.52 5.73 5.94 6.15 6.37
20.50 21.48 22.45 23.43 24.41 25.38 26.36 27.34 28.31 29.29
4.55 4.76 4.98 5.19 5.41 5.63 5.84 6.06 6.28 6.49
20.48 21.46 22.43 23.41 24.38 25.36 26.33 27.31 28.28 29.26
4.63 4.86 5.08 5.30 5.52 5.74 5.96 6.18 6.40 6.62
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
30.32 31.30 32.28 33.26 34.24 35.21 36.19 37.17 38.15 39.13
6.45 6.66 6.86 7.07 7.28 7.48 7.69 7.90 8.11 8.32
30.29 31.27 32.25 33.23 34.20 35.18 36.16 37.13 38.11 39.09
6.58 6.79 7.00 7.21 7.43 7.64 7.85 8.06 8.27 8.49
30.27 31.24 32.22 33.19 34:17 35.15 36.12 37.10 38.08 39.05
6.71 6.93 7.14 7.36 7.58 7.79 8.01 8.22 8.44 8.66
30.24 31.21 32.19 33.16 34.14 35.11 36.09 37.06 38.04 39.01
6.84 7.06 7.28 7.50 7.72 7.95 8.17 8.39 8.61 8.83
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
40.10 41.08 42.06 43.04 44.02 44.99 45.97 46.95 47.93 48.91
8.52 8.73 8.94 9.15 9.36 9.56 9.77 9.98 10.19 10.40
40.07 41.04 42.02 43.00 43.98 44.95 45.93 46.91 47.88 48.86
8.70 8.91 9.12 9.34 9.55 9.76 9.97 10.18 10.40 10.61
40.03 41.00 41.98 42.00 43.93 44.91 45.89 46.86 47.84 48.81
8.87 9.09 9.31 9.52 9.74 9.96 10.17 10.39 10.61 10.82
39.99 40.96 41.94 42.92 43.89 44.87 45.84 46.82 47.79 48.77
9.05 9.27 9.49 9.71 9.93 10.15 10.37 10.59 10.81 11.03
41 42 43 44 45 46 47 48 49 50
1-
I
Lat.
12~·.
12~0.
j
------ -----Dep.
Lat. 78°.
Dep.
Dep
Lat.
.!-;:-
~
1784°.
32
..
-------Dep.
Lat.
77~0.
i .l!l Q
'UBLE 4.-TI.l VERSE TABLE.
i
12)4°.
12°.
~
Lat.
51 52 53 54 55 66 57 58 59 60
49.89 60.86 51.84 52.82 63. SO 54.78 55.75 56.73 57.71 58.69
10. 60 10.81 02 11. 11.23 11.44 H.64 11.85 12.06 12.27 12.4'l
61 62 63
59.67 60.65 61.62 62.60 63.58 64.56 65.54 66. 51 67.49 68.47
69.46
Lat.
Dep.
12J1i0.
Lat.
Dep.
- ---- --- --- - -
64 65 66 67 68
69
70 71 72 73 74 75 76 77 78
70.43 71.40 72.38 73.36 74.34 75.32 76.30 77.27 78.25
79
80
79.23
81 82 83 84 85 86 In 88 89
!
90
80.21 81.19 82.16 83.14 84.12 85.10 86.08 87.06 88.03 89.01 S9.99 9O.P7 91.95 92.92
~1 ~2
Q3 94 95 96 W
93.90 94.88
~
95.86
U9 100
--
96.84 97.81 --
J
Lat.
10.82 49.79 11.03 50.77 11.25 I 51. 74 11.46 52.72 11.67 ! 53.70 11.88 54.67 12.09 ; 5.;.65 1:1.31 56.63 12.52 57.00 12.73 58.58
11.04 ' 11.25 ' 11.47 , 11.69 I 11. 90 I 12.12 i 12.34 I 12.55 12.77 12.99
12.68 12.89 13.10 13.31 13.61 13. 72 13. 93 14.14 14.35 14.55
59.61 60.59 61. 57 62.54 63.52 64.50 C05.47 66.45 67.43 68.41
12.94 13.16 13.37 13.58 13.79 14.00 14.2'l 14.43 14.64 14.85
13.20 13.42 13,64 13.85 14.07 14.29 14.50 14.72 14.93 15.15
14.76 14.97 15.18 15.39 15.69 15. SO 16. 01 16.22 16. 43 16.63
69.38 70.36 71.34 72.32 73. 29 74.27 75.25 76.22 77.20 78. IS
15.06 69.32 I 15.28 70.29 15.40 , 71.27 , 15.70 , 72.25 ' 15.91 , 73. 22 , 74.20 ' 16.13 16. 34 75.17 16.55 I 76.15 16. 76 ! 77.13 16.97 I 78. 10 ,
16.84 17.05 17.26 17.46 17.67 17.88 18.09 ' 18. 30 IS. 50 18.71
79.16 SO. 13 81.11 8a.09 83.06 84.04 85.02 86.00 86.97 87.95
17.19 I 79.08 I 17.53 i 17.75 ' 17.40 SO. 06 17.61 !, 81.03 ' 17.96 I 17.82 , 82.01 ' 18.1S IS.04 S2. 99 IS.40 18. til 18.25 83.96 18.46 84.94 IS.S3 IS. 67 85.91 19.05 19.21; IS. 88 86.~9 19.10 87.87 19.48 ,
18.92 19.13 19. 34 19.54 19.75 19.96 20.17 20.38 20.58 20.79
88.93 89.91
19.31 19.52 19.7S 19.94 20.16 20.37 20.58 20.79 21.01 21.22
90.88
I
91.86 92.84 93.81 94.79 95.77 96.75 97.72
1
I
Lat.
7io.
41479-10-3
Dep.
II
,
59.55 60.53 61.51 62.48 63.46 64.44 65.41 66.39 67.36 68.34
Lnt.
77W·
19.70 19.91 20.13 20.35 20.56 78 20. 20.99 21.21 21.43 21.64
9O.~0
Dep.
;
Dep.
51 52 53
54. 62 55.59 56.57 57.55 58. 52
12.36 12.58 12.80 I 13.02 I 13. 24
58 59 60
59.50 II 13.46 60.47 I 13.68 , 61. 45 1 13.90 ' 14.12 I 14.35 ; 64.37 I 14.57 ' 65.35 : 14.79 66.32 : 15.01 67.30 ' 15.23 08. 27 I 15.45 ,
61 62 63 64 65 66 (i7 68 69 70
~r.~
i i I
~U~ I ~ I 56 i 57
~::g
I
79.00 i 1l:88 79.98 I 1 JO Is.;S2 80.95 81. 93 82.90 1 76 83.88 It· 9BI 1 .20 I 84. 85 85.83 ' )9.42 86.S1 , 19. f4 87.78 ' 19.86
' '
88.76 89.73 90.71 ' 91. C,g ! 02.(i6 93.63 1 94.61 95.58 96.56 97.1i3
I
77J1io.
Dep.
71 72 73 74
75 76
77
78 79 SO 81 82
tM
83
20.08 20.30 20.52 20.75 20.97 21. 19 21. 41 21.ti:J 2:.85 22. 07
91 92 93 94 95
-- -- -Lat.
=
~
11.26 49.74 50.72 I 11.48 51.69111.70
I
88.84 89.82 91. i7 92.75 ! 93.72 94.70 95.68 96.65 97.63 -----
I
'!n
15.37 69.25 I 15.67 ' 15.58 70.22 15.89 15. SO 71.20 16.11 16.02 72.18 16.33 ' 16.23 1 73.15 , 16.55 16.45 I 74.13 ' 16. 77 16. 67 I 75.10 , 16.99 16.88 ' 76. 08 , 17.21 77.05 I 17.44 17.10 17.32 ! 78. 03 i 17.66 I
I
!
- - - - .--
Dep.
Dep.
- - ---
49.84 50.82 51. 79 52.77 53.75 54.72 55.70 56.68 57.66 58.63
1
--,~
1~.0.
Lat.
_.
-_. 77~o.
84 85 86 S7 88 S9 90
96
97 98 99 100
--
J
is
I
TABLE 4.-TBA VERSE TABLE. t:I
!i rl
fI
I
Lat.
I
13)40.
13°.
Lat.
Dep.
Dep.
!
13~".
I
Lat.
i
Dep·1
t:I
13~0.
Lat.
Dep.
!i rl ~
- - ------ --- --- --- ---I --- - - - I 2 3 4 5 6 7 8 9 10
0.97 1.95 2.92 3.90 4.87 6.85 6.82 7.79 8. 77 9.74
0.22 0.45 0.67 0.90 1.12 1.35 1.57 1.80 2.02 2.25
0.97 1. 95 2.92 3.89 4.87 5.84 6.81 7.79 8.76 9.73
0.23 0.46 0.69 0.92 1. 15 1.38 1.60 1.83 2.06 2.29
0.97 1. 94 2.92 3.89 4.86 5.83 6.81 7.78 8.75 9.72
0.23 0.47 0.70 0.93 1.17 1.40 1.63 1. 87 2.10 2.33
0.97 1.94 2.91 3.89 4.86 5.83 6.80 7.77 8. 74 9.71
0.24 0.48 0.71 0.95 1.19 1.43 1.00 1.90 2.14 2.38
7 8 9 10
11 12 13 14 15 16 17 18 19
10.72 11.69 12.67 13.64 14.62 16.59 16. 56 17.64 18. 51 19.49
2.47 2.70 2.92 3.15 3.37 3.60 3.82 4.05 4.27 4.50
10.71 11. 68 12.65 13.63 14.60 15.57 16.55 17.52 18.49 19.47
2.52 2.75 2.98 3.21 3.44 3.67 3.90 4.13 4.35 4.58
10.70 11.67 12.64 13.61 14.59 15.56 16.53 17.50 18.48 19.45
2.57 2.80 3.03 3.27 3.50 3.74 3.97 4.20 4.44 4.67
10.68 11.66 12.63 13.60 14.57 15.64 16.51 17.48 18.46 19.43
2.61 2.85 3.09 3.33 3.57 3.80 4.04 4.28 4.52 4.75
11 12 13 14 15 16 17 18 19 20
20.46 21.44 22.41 23.38 24.36 25.33 26. 31 27.28
20.44 21.41 22.39 23.36 24.33 25.31 26.28 27.25 28.23 29.20
4. 81 6.04 5.27 5.50 5.73 5.96 6.19 6.42 0.65 6.88
20.42 21. 39 22.36 23.34 24.31 25.28 26.25 27.23 28.20 29.17
4.90 5.14 5.37 5.60 5.84 6.07 6.30 6.64 6.77 7.00
20.40 21.37 22.34 23.31 24.28 25.25 26.23 27.20 28.17 29.14
4.99 5.23 5.47 5.70 5.94 6.18 6.42 6.66 6.89 7.13
21 22 23 24 25 26 27 28 29 30
20
1 2 3 4 5
6
27 28 29 30
29.23
4.72 4. 95 5.17 5.40 5.62 6.85 6.07 6.30 6.52 6.75
31 32 33 34 35 36 37 38 39 40
30.21 31.18 32.15 33.13 34.10 35.08 36.05 37.03 38.00 38.97
6.97 7.20 7.42 7.65 7.87 8.10 8.32 8.55 8.77 9.00
30.17 31.15 32.12 33.09 34.07 35.04 36.02 36.99 37.96 38.94
7.11 7.33 7.56 7.79 8.02 8.25 8.48 8.71 8.94 9.17
30.14 31.12 32.09 33.06 34.03 35. 01 35.98 36.95 37.92 38.89
7.24 7.47 7.70 7.94 8.17 8.40 8.64 8.87 9.10 9.34
30.11 31.08 32.05 33.03 34.00 34.97 35.94 36.91 37.88 38.85
7.37 7.61 7.84 8.08 8.32 8.56 8.79 9.03 9.27 9.51
31 32 33 34 35 36 37 38 39 40
41 42 43
3Q.95 40.92 41.90 42.87 43.85 44.82 45. 80 46.77 47.74 48.72
9.22 9.45 9.67 9.90 10.12 10.35 10.57 10.80 11.02 11.25
39.91 40.88 41. 86 42.83 43.80 44.78 45.75 46.72 47.70 48. 67
9.40 9.63 9.86 10.08 10.31 10.64 10.77 11.00 11.23 11.46
39.87 40.84 41. 81 42.78 43.76 44.73 45.70 46.67 47.65 48.62
9.57 9.80 10.04 10.27 10.51 10.74 10.97 11.21 11.44 11.67
39.83 40.80 41.77 42.74 43.71 44.68 45.65 46.62 47.60 48.57
9.75 9.98 10.22 10.46 10.70 10.93 11.17 11.41 11.65 11.88
41 42 43
21 22
23
24
25
26
44 45 46 47 48 49
ro
1-
I A
28.26
44 45 46 47 48 49 51)
- - --- --- - - - ' - - - - - --- - - - - Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
,--
77 0•
I
761.4".
76~0.
76!4".
i A
, TABLE ".-TRAVERSE TABLE.
NIVEIU OF
'FOR
r- ' .
"""'"
. t:I
13 0
![
I
13~o
13~"
13l1,4 0
~
Lat.
51 52 53 54 55 56 57 58 59 60
49.69 11.47 00.67 11.70 11.92 51.64 12.15 52.62 12.37 53.59 54.56 ' 12.60 55.54 12.82 56.51 13.05 57.49 13.27 58.46 13.00
49.64 00.02 51.59 62.56 53.54 54.51 55.48 56.46 57.43 58.40
1l.G9 11.92 12.15 12.38 12.61 12.84 13.06 13.29 13.52 13.75
49.59 00.56 51.54 52.51 53.48 54.45 55.43 56.40 57.37 58.34
11.91 12.14 12.37 12.61 12.84 13.07 13.31 13.54 13.77 14.01
49.54 00.51 51. 48 52.45 53.42 64.40 55.37 56.34 57.31 68.28
12.12 12.36 12.60 12.84 13.07 13.31 13.55 13.70 14.02 14.26
61 62 63 64 65 66 67 68 69 70
59.44 60.41 61.39 62.36 63.33 64.31 65.28 00.26 67.23 68.21
14.62 14.85 15.07 15.30 15.52 15.75
59.38 60.35 61.32 62.30 (,3.27 64.24 65.22 66.19 67.16 68.14
13.98 14.21 14.44 14.67 14.90 15.13 15.36 15.59 15.81 16.04
59.31 60.29 61.26 62.23 63.20 64.18 65.15 66.12 67.09 68.07
14.24 14.47 14.71 14.94 15.17 15.41 15.64 15.87 16.11 16.34
59.25 60.22 61.19 62.17 63.14 64.11 65.08 66.05 67.O'J 67.09
14.00 14.74 14.97 15.21 15.45 15.69 15.92 16.10 16.40 16.64
71 72 73 74 75 76 77 78 79 80
69.18 70.15 71.13 72.10 73.08 74.05 75.03 76.00 76.98 77.95
15.97 16.20 16.42 16.65 16.87 17.10 17.32 17.55 17.77 18.00
69.11 70.08 71.06 72.03 73.00 73.98 74.95 75.92 76.90 77.87
16.27 16.00 16.73 16.96 17.19 17.42 17.65 17.88 18.11 18.34
69.04 70.01 70.98 71. 96 72.93 73.90 74.87 75.84 76.82 77.79
16.57 16.81 17.04 17.27 17.51 17.74 17.98 18.21 18.44 18.68
68.97 60.94 70.91 71.88 72.&, 73.82 74.79 75.76 76.74 77.71
16.88 17.11 17.35 17.59 17.83 18.06 18.30 18.54 18.78 19.01
81 82 83 84 85 86 87 88 89 90
78.92 79.90 80.87 81.85 82.82 83.80 84.77 85.74 86.72 . 87.69
18.22 18.45 18.67 18.90 19.12 19.35 19.57 19.80 20.02 20.25
78.84 79.82 80.79 81. 76 82.74 83.71 84.M 85.66 86.ti3 87.60
18.57 18.79 19.02 19.25 19.48 19.71 19.94 20.17 20.40 20.63
78.76 79.73 SO. 71 81. 68 82.65 83.62 84.60 85.57 86.54 87.51
18.91 19.14 19.38 19.61 19.84 20.08 20.31 20.54 20.78 21.01
78.68 79.65 80.62 81. 59 82.56 83.54 84.51 85.48 86.45 87.42
19.25 19.49 19.73 19.97 20.20 20.44 20.68 20.92 21.15 21.39
91 92 93
88.67 89.64 90.1;2 91. 59 92.57 93.54 94.51 95.49 96.46 97.44
20.47 20.70 2il.92 21.15 21.37 21.60 21.82 22.05 22.27 22.00
88.68 89.55 90.52 91. 5G 92.47 93.44 94.42 95.39 96.36 97.34
20.86 21.09 21.32 21. 54 21. 77 22.00 22.23 22.46 22.69 22.92
88.49 89.46 90.43 91. 40 92.38 93.35 94.32 95.29 00.26 97.24
. 21. 24 21. 48 21.71 21.94 22.18 22.41 22.64 22.88 23.11 23.34
88.39 89.36 90.33 91.31 02.28 93.25 94.22 95.19 00.16 97.13
21. 63 21.87 22.10 22.34 22.68 22.82 23.06 23.29 23.53 23.77
Dep.
Lat.
Lat.
Dep.
Dep.
Lat.
Dep.
- - --- - - - - - - - - - - - - - - - - - - - - -
94
95 96 97 98 99
100
13.72 13.95 14.17
14.40
- - --- - - -
8
j
A
Dep.
Let. 77 0
--- - - - - - - --- --- --Dep.
Lat.
Dep.
Lat.
76~o
'76U 0 36
Dep.
Lat.
70~o
T.lBLJil f.-TUVEB8E UBLB. t::l
I
Lat.
·14~·.
14~o.
14°.
~
Dep.
------
~IDep.
Lat.
t::l
U~4°·
I.at.
Dep.
Dep.
f
------ - - - - - -/ -
1 2 3 4 5 6 7 8 9 10
0.97 1.04 2.91 3.88 4.85 5.82 6.79 7.76 8.73 9.70
0.24 0.48 0.73 0.97 1.21 1.45 1.69 1.94 2.18 2.42
0.97 1.94 2.91 3.88 4.85 6.82 6.78 7.75 8.72 9.69
0.25 0.49 0.74 0.98 1.23 1.48 1.72 1.97 2.22 2.46
0.97 1.94 2.90 3.87 4.84 5.81 6.78 7.75 8.71 9.68
0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50
0.97 1.93 2.90 3.87 4.84 5.80 6.77 7.74 8.70 9.67
0.25 0.51 0.76 1.02 1.27 1.53 1.78 2.04 2.29 2.55
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10.67 11.64 12.61 13.58 14.55 15.52 16.50 17.47 18.44 19.41
2.66 2.90 3.14 3.39 3.63 3.87 4.11 4.35 4.60 4.84
10.66 11.63 12.60 13.57 14.54 15.51 16.48 17.45 18.42 19.38
2.71 2.95 3.20 3.45 3.69 3.94 4.18 4.43 4.68 4.92
10.66 11.62 12.69 13.55 14.62 15.49 16.46 17.43 18.3\1 19.36
2.75 3.00 3.25 3.61 3.76 4.01 4.26 4.51 4.70 5.01
10.64 11.60 12.57 13.54 14.51 15.47 16.H 17.41 18.37 19.34
2.80 3.06 3.31 3.56 3.82 4.07 4.33 4.68 4.84 5.09
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
20.38 21.35 22.32 23.29 24.26 25.23 26.20 27.17 28.14 211.11
5.08 5.32 6.56 5.81 6.05 6.29 6.53 6.77 7.02 7.26
20.35 21.32 22.29 23.26 24.23 25.20 26.17 27.14 28.11 211.08
5.17 5.42 5.66 5.91 6.15 6.40 6.66 6.89 7.14 7.38
20.33 21.30 22.27 23.24 24.20 25.17 26.14 27.11 28.08 29.04
6.26 6.51 5.76 6.01 6.26 6.51 6.76 7.01 7.26 7.61
20.31 21.28 22.24 23.21 24.18 25.14 26.11 27.08 28.04 29.01
5.35 6.60 5.86 6.11 6.37 6.62 6.87 7.13 7.38 7.64
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 40
30.08 31.05 32.02 32.99 33.96 34.9.1 35.90 36. 87 37.84 38.81
7.60 7.74 7.98 8.23 8.47 8.71 8.95 9.19 9.43 9.68
30.05 31.02 31.98 32.95 33.92 34.89 35.86 36.83 37.80 38.77
7.63 7.88 8.12 8.37 8. 62 8.86 9.11 9.35 9.60 9.85
30.01 30.98 31. 95 32.92 33.89 34.85 35.82 36.79 37.76 38.73
7.76 8.01 8.26 8.51 8.76 9.01 9.26 9.51 9.76 10.02
29.98 30.95 31.91 32.88 33.85 34.81 35.78 36.75 37.71 38.68
7.89 8.15 8.40 8.66 8.91 9.17 9.42 9.67 9.93 10.18
31 32 33 34 35 36 37 38 3\1 40
41 42 43 44 45 46 47 48 49 50
3\1,78 40.75 41. 72 42.69 43.66 44.63 45.60 46. 67 47.M 48.51
9.92 10.16 10.40 10.64 10.89 11.13 11.37 11.61 11.85 12.10
39.74
10. 09 10.34 10.58 10.83 11.08 11.32 11.57 11.82 12.06 12.31
39.69 40.66 41.63 42.60 43.67 44.53 45.50 46. 47 47.44 48.41
10.27 10.62 10.77 11.02 11.27 11.62 11.77 12.02 12.27 12.62
39.66 40.62 41.58 42.55 43.52 H.48 45.45 46. 42 47.39 48. 35
10.44 10.69 10.95 11.20 11.46 11.71 11.97 12.22 12.48 12.73
41 42 43 44 45 46 47 48 49 50
39
40.71 41.68 42.66 43.62 44.68 45.55 46.62 47.49 48.46
- - --- --- ------ --- --- -
j A
Dep.
Lat. 70".
Dep.
Dep.
Lat.
Lat.
75~0.
75~·.
36
----Dep.
I
Lat.
8c
11
75)(°.
.!! A
TARLE 4.-TRAVERSE TARtF.. t;j
J --
Dep.
Lat.
14~0.
14~0.
14°.
IE
Lat.
Dep.
14W·
Lat.
:Qep.
Lat.
t;j
f
Dep.
16
12.98
13. 49 13. 75 14.00 14. 26 14.51 14. 77 15.02 15.28
51 52 53 04 50 56 57 58 69 60
--- --- ------ -
51 52 53 04 50 56 57 58 59 60
49. 49 50.46 51.43 52.40 53.37 04.34 50.31 56.28 57.2f> 58.22
12.34 12.58 12. 82 13.06 13.31 13.50 13.79 14.03 14.27 14.52
49.43 50.40 51.37 52.34 53.31 04.28 50.25 56.22 57.18 58.15
12.50 12.80 13.05 13. 29 13.04 13.78 14.03 14.28 14.52 14.77
49.38 50.34 51.31 52.28 53.25 04.22 50.18 56.15 57.12 58.09
12.77 13.02 13. 27 13. 52 13.77 14.02 14.27 14.52 14.77 l5. 02
49.32 50.29 51. 25 52.22 53.19 04.15 50.12 56.09 57.06 58.02
61 62 63 66 67 68 69 70
69.19 60.16 61.13 62.10 63.07 64.04 65.01 65.98 66.95 67.92
14.76 15.00 15.24 15. 48 15.72 l5. 97 16.21 16.45 16.69 16.93
59.12 60.09 61.06 62.03 63.00 63.97 64.94 65.91 66.88 67.85
15. 02 15.26 15.51 15. 75 16.00 16.25 16.49 16.74 16.98 17.23
69.06 60.03 60.99 61.96 62. 93 63.90 64.87 65.83 66.80 67.77
15.27 15.52 15. 77 16.02 16.27 16.53 16.78 17.03 17.28 17.53
58.99 69.96 60.92 61.89 62.86 63.83 64.79 65.76 66.73 67.69
15.53 15.79 16.04 16.29 16.50 16.80 17.06 17.31 17.57 17.82
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
68.89 69.86 70.83 71.80 72.77 73.74 74.71 75.68 76.65 77.62
17.18 17.42 17.66 17.90 18.14 18.39 18.63 18.87 19.11 19.35
68.82 69.78 70.75 71. 72 72.69 73.66 74.63 75.60 76.57 77.04
17.48 17.72 17.97 18.22 18.46 18.11 18.95 19.20 19.45 19.69
68.74 69. 71 70.67 11.64 72. 61 73.58 74.50 75.52 76.48 77.45
17.78 18.03 18.28 18.53 18.78 19.03 19.28 19.53 19.78 20.03
68.66 69.63 70.59 71.56 72.53 73.50 74.46 75.43 76.40 77.36
18.08 18.33 18.69 18.84 19.10 19.35 19.60 19.86 20.11 20.37
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
78.69 79.56 SO. 53 81.50 82.48 83.45 84.42 85.39 86.36 87.33
19.60 19.84 20.08 20.32 20.56 20.81 21.05 21.29 21.53 21.77
78.51 79.48 SO. 45 81.42 82.38 83.35 84.32 85.29 86.26 87.23
19.94 20.18 20.43 20.68 20.92 21.17 21. 42 21.66 21.91 22.15
78.42 79.39 SO. 36 81.32 82.29 83.26 84.23 85.20 86.17 87.13
20.28 20.53 20.78 21.03 21.28 21. 53 21.78 22.03 22.28 22.53
78.33 79.30 SO. 26 81.23 82.20 83.17 84.13 85.10 86.07 87.03
20.62 20.88 21.13 21.39 21.64 21.90 22.15 22.40 22.66 22.91
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
88.30 89.27 90.24 91. 21 92.18 93.15 94.12 95.09 96.06 97.03
22.01 22.26 22.50 22.74 22.98 23.22 23.47 23.71 23.95 24.19
88.20 89.17 90.14 91.11 92.08 93.05 94.02 94.98 . 95.95 96.92
22.40 22.65 22.89 23.14 23.38 23.63 23.88 24.12 24.37 24.62
88.10 89.07 90.04 91.01 91. 97 92.94 93.91 94.88 95.85 96.81
22.78 23.03 23.29 23.04 23.79 24.04 24.29 24.04 24.79 25.04
88.00 88.97 89.94 90.90 91.87 92.84 m.80 94.77 95.74 96.70
23.17 23.42 23.68 23.m 24.19
91 92 93 94 95 96 97 98 99 100
64
b5
13.24
24.44
24.70 24.95 25.21 25.46
- - ------ --- - - - ------ - - - - - - - -
j A
Lat.
Dep.
Dep.
Dep.
Lat.
Dep.
Lat.
Lat.
8
j 76°.
15M".
75~0.
7514".
I
37
.!l
A
TABLE 4.-TRAVERSE TABLE.
-
t:j
f
16°.
Lat.
15)4°.
Dep.
Ll\t.
Dep.
Lat.
t:j
15".4°.
15W.
Dep.
Lat.
Dep.
J
- - - - - - - - ---i - --- --- ------ - I 2 3 4 5 6 7 8 9 10
0.97 1.93 2.90 3.86 4.83 5.80 6.76 7.73 8.69 9.66
0.26 0 ..~2 0.78 1.04 1.29 1.55 1.81 2.07 2.33 2.59
0.96 1.93 2.89 3.86 4.82 5.79 6.75 7.72 8.68 9.65
0.26 0.1>3 0.79 1.05 1.32 1.58 1.84 2.10 2.37 2.63
11 12 13 14 15 16 17 18 19 20
10.63 11.59 12.56 13.52 14.49 15.45 16.42 17.39 18.35 19.32
2.85 3.11 3.36 3.62 3.88 4.14 4.40 4.66 4.92 5.18
10.61 11.58 12.M 13.51 14.47 15.44 16.40 17.37 18.33 19.30
2.89 3.16 3.42 3.95 4.21 4.47 4.73 5.00 6.26
21 22 23 24 25 26 27 28 20 30
20.28 21.2.'; 23.18 24.15 25.11 26.08 27.05 28.01 28.98
5.44 5.69 5.95 6.21 6.47 6. i3 6.99 7.25 7.51 7.76
20.26 21.23 22.19 23.15 24.12 25.08 26.05 27.01 27.9R 28.94
6.52 6.79 6.05 6.31 6.58 6.84 7.10 7.36 7.m 7.89
20.24 21.20 22.16 23.13 24.09 25.05 26.98 27.95 28.91
5.61 6.88 IU5 6.41 6.68 6.95 7.22 7.48 7.75 8.02
31 32 33 34 35 36 37 38 39 40
29.94 30.91 31.88 32.84 33.81 34.77 35.74 36.71 37.67 38.1;4
8.02 8.28 8.54 8.80 9.06 9.32 9.58 9.81 10.09 10.35
29.91 30.87 31.84 32.80 33.77 34.73 35.70 36.66 37.63 38.59
8.15 8.42 8.r.s 8.94 9.21 9.47 9.73 10.00 10.26 10.52
29.87 3O.R4 31.80 32.76 33.73 34.69 35.65 36.62 37.58 38.55
41
39.00 40.57 41.53 42.50 43.47 44.43 45.40 46.30 47.33 48.30
10.61 10.87 11.13 11.39 11.6.'; 11.91 12.16 12.42 i 12.I;Il I 12.94 ,I
39.56 40.52 41. 49 42.45 43.42 44.:18 45.35 46.31 47.27 48.24
10. 7~
39.51 40.47 41. 44 42.40 43.36 44.33 45.29
Dep.
Lat.
Dep.
Lat.
42
43 44 45 46
47 48 49
22.2'1
I
3.f,~
0.27 0.53 0.80 1.07 1.34 1.60 1.87 2.14 2.41 2.67
0.00 1.92 2.89 3.85 4.81 6.77 6.74 7.70 8.66 9.62
0.27 O.M 0.81 1.09 1.36 1.63 1.90 2.17 2.44 2.71
1 2 3 4 5 6 7 8 9 10
10.60 11.56 12.53 13.49 14.45 15.42
2.94 3.21 3.47 3.74 4.01 4.28 4.54 4.81 5.08 6.34
10.59 11.55 12.51 13.47 14.44 15. 40 16.36 17.32 18.29 19.25
2.09 3.26 3.53 3.80 4.07 4.34 4.61 4.89 5.16 6.43
11 12 13 14 15 16 17 18 19 20
20.21 21.17 22.14 23.10 24.06 25.02 25.99 :lB. 95 27.91 28.87
5.70 5.97 6.24 6.51 6.79 7.06 7.33 7.60 7.87 8.14
21 22 23 24 25 26 27 28 29 30
8.28 8.55 8.82 9.{J9 9.35 9.62 9.89 10.16 10.42 10.69
29.84 30.80 31. 76 32.72 33.69 34. fl5 35.61 36.57 37.54 38.50
8.41 8.69 8.90 9.23 9.50 9.77 10.04 10.31 10.59 10.86
31 32 33 34
47.22 48.18
10.96 11.2"2 11. 49 11.76 12.03 12.29 12.56 12.83 13.09 13.36
39.46 40.42 41.39 42.35 43.31 44.27 45.24 46.20 47.16 48.12
11.13 11.40 11.67 11. 94 12.21 12.4\l 12.76 13.03 13.30 13.57
Dep.
Lat.
16.38
17.3,0; 18.31 19.27
26.02
1l.0.~ I I
11.31
~U~ ! ~g~1 12.63 12.80 13.15
0.00 1. 93 2.89 3.85 4.82 5.78 6.75 7.71 8.67 9.04
I
I
46.2.~
I
i
- - - -I - 1 - - I 00
~ S
~
'
75°.
I
.
74'.4..
I 38
74~0.
!DeP.
I
~
74)4°.
3.0;
36 37 38 39 40 41 42
43 44 45 46
47 48 49 50 ---
i i5
TABLtl 4.-TRAVERSE TABLE.
,.
15 0•
t:)
J
Lat.
I
15W.
Dep.
Lat.
15~0.
Lat.
Dep.
Dep.
15~0.
Lat.
Dep.
,.
t:)
S1:1 ~
- - --- - - - --- - - - - - - - - - - - - - - - - 13.63 13.90 14.16 14.43 14.70 14.97 15.23 15.50 15.77 16.03
49.09 50.05 51.01 51.97 52.94 53.90 54.86 M.82 56.78 57.75
51 52 63 54 M 56 57 68 59 60
49.26 50.23 51.19 52.16 53.13 54.09 M.06 66.02 66.99 57.96
13.20 13.46 13.72 13.98 14.24 14.49 14.75 15.01 15.27 15.53
49.20 50.17 51.13 52.10 53.06 54.03 54.99 M.96 66.92 57.89
13.41 13.68 13.94 14,20 14.47 14.73 14.99 15.26 15.52 15.78
49.15 50.11 51.07 52.04 63.00 53.96 54.93 M.89 66.85 57.82
61 62 63 64 65 66 67 68 69 70
68.92 59.89 60.85 61.82 62.79 63.75 64.72 65.68 66.65 67.61
15.79 16. 05 16. 31 16.56 16.82 17.08 17.34 17.60 17.86 18.12
68.85 59.82 60.78 61.75 62.71 63.68 64.64 65.61 66 57 67.54
16.04 16.31 16.57 16.83 17.10 17.36 17.62 17.89 18.15 18.41
68.78 59.75 60.71 61.67 62.64 64.56 65.63 66.49 67.45
16.30 16.57 16.84 17.10 17.37 17.64 17.90 18.17 18.44 18.71
71 72 73 74 75 76 77 78 79 80
68.68 69.M 70.51 71.48 72.44 73.41 74.38 75.34 76.31 77.27
18.38 18.63 18.89 19.15 19.41 19.67 19.93 20.19 20.45 20.71
68.50 69.46 70.43 71.39 72.36 73.32 74.29 75.25 76.22 77.18
18.68 18.94 19.20 19.46 19.73 19.99 20.25 20.52 20.78 21.04
68.42 69.38 70.35 71.31 72.27 73.24 74.20 75.16 76.13 77.09
81 82 83 84 "85 86 87 88 89 90
78.24 79.21 80.17 81.14 82.10 83.07 84.04 85.00 85.97 86.93
20.96 21.22 21. 48 21. 74 22.00 22.26 22.52 22.78 23.03 23.29
78.15 79.11 80.08 81.04 82.01 82.97 83.94 84.90 85.87 86.83
21.31 21.57 21.83 22.09 22.36 22.62 22.88 23.15 23.41 23.67
91 92 03 94 95 96
87.90 88.87
23.M 23.81 24.07 24.33 24.59 24.85 25.11 25.36 25.62 25.88
87.80 88.76 89.73 90.69 91.65 92.62 93.58 94.M 95.51 96.48
23.94 24.20 24.46 24. i2 24.99 25.25 25.51 25.78 26.04 26.80
97
98 99 100
89.8~
90.80 91. 76 92.73 93.69 94.66 95.63 96.59
14.93 15.20 15.47 15.74 16.01 16.29
51 52 63 54 55 66 57 68 59 60
68.71 59.67 60.63 61.60 62.66 63.52 64.48 65.45 66.41 67.37
16.66 16.83 17.10 17.37· 17.64 17.92 18.19 18.46 18.73 19.00
61 62 63 64 65 66 67 68 69 70
18.97 19.24 19.51 19.78 20.04 20.31 20.68 20.84 21.11 21.38
68.33 69.30 70.26 71.22 72.18 73.15 74.11 75.07 76.03 77.00
19.27 19.54 19.82 20.09 20.36 20.63 20.90 21.17 21.44 21. 72
71 72 73 74 75 76 77 78 79 80
78.05 79.02 79.98 80.94 81. 91 82.87 83.84 84.80 85.76 86.73
21.65 21.91 22.18 22.45 22.72 22.98 23.25 23.52 23.78 24.05
77.96 78.92 79.88 80.85 81.81 82.77 83.73 84.70 85.66 86.62
21.99 22.26 22.63 22.80 23.07 23.34 23.62 23.89 24.16 24.43
81 82 83 84 85 86 87 88 89 90
87.69 88.65 89.62 90.58 91.54 92.51 93.47 94.44 95.40 96.36
24.32 24.59 24.85 25.12 25.39 25.65 25.92 26.19 26.46 26.72
63.60
- - - - - --- - - -I - - - - - - -
8
'" ]I
Lat.
Dep.
Dep.
Dep.
Lat.
13.84 14.11 14.39
Lat.
14.66
91 87.68 '24.70 88.M 24.97 92 89.51 93 25.24 94 90.47 25.52 91.43 25.79 95 92.40 26.00 96 97' 93.36 26.33 94.32 26.60 98 95.28 26.87 99 96.25 27.14 100 --- --- --
D"p.
Lat.
oJ
A
75 0.
74~0.
74~0.
39
74~·.
8
~
.l!I
A
'I'.lBLE 4.-tBAVB&8E TABLE.
~
g
.
1 2 3 4 5 6
Lat.
9 10
0.96 1.92 2.88 3.85 4.81 5.77 6. TJ 7.69 8.f>5 9.61
11 12 13
10.57 11.54 12. flO
7 8
14 15 l(j
17 18 19 20 21
22
i
16'.
tj
t:l.4fi
14.42 15.38 16.34 17.30 18. 26 19.23 20.19 21.15
22.11
Dep.
Lat.
0.28 0.55 0.83 : 1.10 i 1.38 1.65 1.9:1 2.21 2.48 2.76
I
Dep.. 0.28 0.56 0.84 1.12 1.40 1.68 1.06 2.24 2.62 2.80
10.56 3.03 3.31 I 11.52 3.58 il 12.48 86 13.44 3. 4.13 1 14.40 4.41 . 15.36 4.69 16.32 17.28 4.96 18.24 5.24 19.20 5. 51 20.16 21.12
5.79 6.06 6.34 6.62 6.89 7.17 7.44 7.72 7.99 8.'n
23.07 24.03 24.99 25.95 26.92 27.88 28.84
31 32 33 34 35 36 37 38 39
9.37 9.65 9.92 10.20
40
29.80 30.76 81.72 3268 33.64 34. 61 35.57 36.53 37.49 38.45
41 42 43 44 4li 46 • 47 48 49 60
39.41 40.37 41. 33 42.30 43.26 44.22 45.18 40. 14 47.10 48.06
11.30 11.58 11. 85 12. 13 12.40 12.68 12.95 13.23 13.51 13.78
23.04 24.00 24.96 25.92 26.88 27.84 28.80
9.10
t8: ~~ 11.03
9.60
22.08
8.54 8.8'2
I
I I
29.76 30.72 31.68 32.64
33.60
34.5(, 35.53 36,48 37.44 38.40 39.36 40.32 41. 28 42. 24 4.1.20 44.16 45. 12 46.08 47.04 48.00
I
----I
0.96 1.92 2.88 3.84 4.80 5. 76 6.72 7.68 8.64
23 24 25 26 'n 28 29 30
· I
16~'.·
1
i
16~·.
Lat.
1~'.
Dep.
La&.
tj
Dep.
~f
~
0.96 1.92 2.88 3.84 4.79 5. 75 6.71 7.67 8.63 9.59
0.28 0.57 0.85 1.14 1.42 1. '(0 1.99 2.27 2.56 2.84
0.96 1.92 2.87 3.83 4.79 5. 75 6. 70 7.00 8.62 9.58
0.29 0.58 0.86 1.16 1.44 2.31 2.59 2.88
7 8 9 10
3.08 3.36 3.64 3.92 4.20 4.48 4.76 5.04 5.32
5.60
10.55 11.61 12.46 13.42 14.38 15.34 16.30 17.26 18.22 19.18
3.12 3. 41 3. eo 3.118 4.26 4.54 4.83 5.11 5.40 5.68
10.63 11.49 12.45 13.41 14.36 15.32 16.28 17.24 18.19 19.15
3.17 3.46 3.75 4.03 4.32 4.61 4.90 6.19 5.48 5. 76
11 12 13 14 16 16 17 18 19
5.88 6.16 6.44 6.72 7.00 7.28 7.56 7.84 8.12 8.39
20.14 21.00 22.05 23.01 23.97 24.93 25.89 20.85 27.81 28.76
5.GB 6.25 6.53 6.82 7.10 7.38 7.67 7.95 8.24 8.52
20.11 21.07
6.05 6.34 6.63 6.92 7.20 7.49 7.78 8.07 8.36 8.65
29.72 30.68 31.64 32.60 33.56
8.80 9.00 9.37 9.66 9.94 10.22 10.51
I
8.67 8.95 9.23 9.51 9.79 , 10.07 10.35 1
1.73 2.02
22.02 22.98 23.94 24.90 25.85 26.81 27.77 28.73
8.93 9.22 9.51 9.80
10.09 10.38
11.19
36.44 37.39 38.35
29.68 30.64 31.00 32.56 33.61 34.47 35.4.1 36.39 37.35 38.30
11.47 11.75 12.03 12.31 12.59 12.87 13.15 13.43 13.71 13.99
39.31 11.64 39.26 40.27 11. 93 40.22 41.23 12. 21 41.18 42. 19 12. 60 42. 13 43.1512.7843.00 44.11 13.06 «.05 45. 06 13.35 45.01 46.02 13.63 45.9(\ 46.98 13.92 46.92 47.94 14.20 47.88
11.82 12. 10 12. 39 12.68 12.97 13.26 13.55 13.83 14.12 14.41
10.63 10.91
~:~
10.79 11.08 11.36
10.66
10.95
11.24 11.53
1 2 3 4 6
6
20 21
22
23
24 25 26 'n 28 29 30
3t 32 33 34 35 36 37 38 39
40 41 42 43 44 4li 46 47 48 49 60
1 - - - - ---- ------- - - - ---- ---- ----1Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat.
~ _ _ ~4··___ .1
73~·.
73~·.
73~·.
~-------~--------~--------~---
40
TABLE 4.-TRAVI'lIt8E TABLE.
t:1
-
16~·.
16".
II
f
Lat.
Dep.
Lat.
51 52 63 54 55 56 57 58 59 60
49.d! 49.99 60.95 61.91 62.87 63.83 M.79 55.75 56.71 67.68
14.06 14.33 14.61 14.88 16.16 15.44 15.71 16.99 16.2(i 16.54
48.96 49.92 60.88 61.84 62.80 63.76 54.72 55.68 56.64 67.60
81 82 63 64
58.64 59.60 60.66 61.52 82.48 63.44 64.40 65.37 66.33 67.29
16.81 17.09 17.37 17.64 17.92 18.19 18.47 18.74 19.02 19.29
58.5f, 69.52 60.48 61.44 62.40 63.36 64.32 65.28 66.24 67.:In
68.25 69.21 70.17 71.13 72.09 73.06 74.02 74.98 76.94 76.90
19.67 19.85 :In. 12 :In. 40 20.67 :In. 95 21.22 21.60 21.78 22.05
68.16 69.12 70.08 71.04 72.00 72.96 73.92 74.88 75.84 76. SO
19.87 :In. 15 :In. 43 :In. 71 :In. 99 21.Zl 21..55 21.83
77.86 78.82 79.t8 SO. t5 81.71 82.67 83.63 84.59 85.55 86.61
22.33 22.00 22.88 23.15 23.43 2:1. 70 23.98 24.26 24.63 24.81
77.76 78.72
SO.f" 81.60 82.56 83.62 84.48 85.44 86.40
22.67 22.95 23.23 23.51 23.79 24.07 24.35 24.62 24.90 25.18
87.47 88.44 89.40 90.36 91.32 92.28 93.24 94.:In 95.16 96.13
25.08 25.36 25.63 25.91 21\.19 26.46 26.74 Zl.OI Zl.29 Zl.66
87.36 88.32 89.28 90.24 91. :In 92.16 93.12 94.08 95.04 96.00
25.46 25.74 26.02 26.30 26.58 26.86 Zl.14 Zl.42 Zl.70 Zl.98
65 M 67 68 89 70 71 72
73 74 75 76 77 78 79 III 81 82 83 84 85
86 87 88 89
90
III 92 113 94 95
96 117 118
119 100
79.68
I
16~·.
161,4".
~IDep.
I
t:1
f
Lat.
Dep.
14.Zl 14.55 14.83 15.11 15.39 15.67 15.95 16.23 16.51 16.79
48.90 49.86 60.82 61.78 62.74 53.69 54.65 56.61 66.57 67.53
14.48 14.77 15.05 16.34 15.62 15.90 16.19 16.47 16.76 17.04
48.84 49.79 60.75 51.71 62.67 53.62 M.58 55.54 56.50 67.45
14.70 14.99 15.Zl 16.56 15.85 16.14 16.43 16.72 17.00 17.29
51 62 63 M 55 56 57 68 69 60
17.07 17.35
58.49 69.45 60.41 61.36
17.32 17.61 17.89 18.18 18. 46 18. 75 19.03 19.31 19.60 19.88
58.41 69.37 60.33 61.28 62.24 63:1n 64.16 65.11 66.07 67.03
17.68 17.87 18.16 18.44 18.73 19.02 19.31 19.60 19.89 :In. 17
61 62 63 64 85 M 67 68
20.17 :In. 45 20.73 21.02 21.30 21.69 21.87 22.16 22.44 22.72
67.90 68.95 69.90 70.86 71.82 72.78 73.73 74.69 76.85 76.61
:In. 46 20.75 21.04 21.33 21.61 21.90 22.19 22.48 22.77 23.06
71 72 73 74 75 76 78 79 80
77.56 78.52 79.48
81.50 82.46 83.42 84.38 85.33 86.29
23.01 23.29 23.57 23.86 24.14 24.43 24.71 24.99 25.28 25.&6
23.34 23.63 23.92 24.21 24.60 24.78 25.07 25.36 25.65 25.94
81 82 83 84 85 86 87 88 89 90
87.25 88.21 89.17 90.13 91.09 92.05 93.01 93.96 94.92 95.88
25.85 26.13 26.41 26.70 26.98 Zl.Zl Zl.55 Zl.83 28.12 28.40
26.23 26.51 26. SO Zl.09 Zl.38 Zl.67 Zl.96 28.24 28.53
91 92 93 94
DeP'j
17.~.3
17.91
tt~~
62.32
I
18.75 19.03 19.31 19.59
22.11
22.39
63.28 64.24 65.:In 66.16 67.12 68.08 69.04 ~99
70.95 71.91 72.87 73.83 74.79 75.76 76.71
77.66 78.62 7f1.58
SO. 64
SO. 44
81.39 82.35 83.31 84.Zl 85.22 86.18
87.14 88.10 89.05 90.01 90.97 91.93 92.88 93.84 94. SO 95.76
28.S!
69
70
77
95
96
97
98 99 100
- - ------ I - - - - - - - - - - - - - - - - - -
j Q
Dep.
Lat. 74°.
Dep.
Dep.
Lat.
~
73~·.
I
41
Lat.
.. I
Dep. ~
Lat.
..
j .1!l
A
TABLE 4.-TBAVEItSE TABLE.
--
i ~
17 0.
Lat.
Lat.
Dep.
Lat.
Dep.
t:;j
17,,0.
17~0.
17~0.
Dep.
Lat.
Ii"
Dep.
J
- - - - - --- - - - - - - --- ---- - - - - - - I 2 3 4 5 6 7 8 9 10
0.96 1.91 2.87 3.83 4.78 5.74 6.69 7.65 8.61 9.56
0.29 0.58 0.88 1.17 1.46 1.75 2.05 2.34 2.63 2.92
0.96 1.91 2.87 3.82 4.78 5.73 6.69 7.64 8.60 9.55
0.30 0.59 0.89 1.19 1. 43 1.78 2.08 2.37 2.67 2. 97
0.95 1.91 2.86 3.81 4.77 5.72 6. fJ8 7.63 8.58 9.54
0.30 0.60 0.90 1.20 1.50 1.80 2.10 2.41 2.71 3.01
0.95 1.90 2.86 3.81 4.76 5.71 6.67 7.62 8.57 9.52
0.30 0.61 0.91 1.22 1.52 1.83 2.13 2.44 2.74 3.05
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10.52 11.48 12.43 13.39 14.34 15.30 16.26 17.21 18.17 19.13
3.22 3.51 3.80 4.09 4.39 4.68 4.97 5.26 5.56 5.85
10.51 11.46 12.42 13.37 14.33 15.28 16.24 17.19 18.15 19.10
3.26 3.56 3.86 4.15 4.45 4.74 5.04 5.34 5.63 5.93
10.49 11.44 12.40 13.35 14.31 15.26 16.21 17.17 18.12 19.07
3.31 3.61 3.91 4.21 4.51 4.81 5.11 5.41 5.71 6.01
10.48 11.43 12.38 13.33 14.29 15.24 16.19 17.14 18.10 19.05
3.35 3.66 3.96 4.27 4.57 4.88 5.18 5.49 5.79 6.10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 29 30
20.08 21.04 22.00 22.95 23.91 24. 86 25.82 26.78 27.73 28.69
6.14 6.43 6.72 7.02 7.31 7.60 7.89 8.19 8.48 8.77
20.06 21.01 21.97 22.92 23.88 24.83 25.79 26.74 27.70 28.65
6.23 6.52 ~82 .12 7.41 7.71 8.01 8.30 8.60 8.90
20.03 20.98 21.94 22.89 23.84 24.80 25.75 26.70 27.66 28.61
6.31 6.62 6.92 7.22 7.52 7.82 8.12 8.42 8.72 9.02
20.00 20.95 21.91 22.86 23.81 24.76 25.71 26.67 27.62 28.57
6.40 6.71 7.01 7.32 7.62 7.93 8.23 8.54 8.84 9.15
21 22 23 24 25 26 27 28 29
30
31 32 33 34 35 36 37 38 39 40
29.65 30.60 31.56 32.51 33.47 34.43 35.38 36.34 37.30 38.25
9.06 9.36 9.65 9.94 10.23 10.53 10.82 11.11 11. 40 11.69
29.61 30.56 31.52 32.47 3.1.4:l 34.38 35.34 36.29 37.20; 38.20
9.19 9.49 9.79 10.08 10. 3.~ 10.08 10.97 11.27 11.57 11.86
29.57 30.52 31.47 32.43 33.38 34.33 35.29 36.24 37.19 38.15
9.32 9.62 9.92 10.22 10.52 10.83 11.13 11.43 11.73 12.03
29.52 30.48 31.43 32.38 33.33 34.29 35.24 36.19 37.14 38.10
9.45 9.76 10.06 10.37 10.67 10.98 11.28 11.58 11.89 12.19
31 32 33 34 35 36 37 38 39 40
41 42 43 0 44 45 46 47 48 49 50
39.21
11.99 12.28 12.57 12.86 13.16 13.45 13.74 14.03 14.33 14.62 --
39.16
39.10 40.06 41.01 41. 96 42.92 43.87 44.82 45.78 46.73 47.69
12.33 12. 63 12.93 13.23 13.53 13.8.1 14.13 14.43
39.05 40.00 40.95 41.91 42.86 43.81 44.76 45.71 46.67 47.62
12.50 12.80 13.11 13.41 13.72 14.02 14.33 14.6.1 14.94 15.24
28
40.16
41.12 42.08 43.03 43.99 44.95 45.90 46.86 47.82
--- ---
!!
~ .!!l
A
12.16 12.45 12. 75 13.05 13.34 13.64 13.94 14.23 14.53 14.83 - - --40.11
41.07 42.02 42.98 43093 44.89 45.84 46.80 47.75
Lat.
Dep. 73 0•
Dep.
Ii
15.04
43 44 45
46
47 48 49 50
--- --- --- --- -Dep.
Lat.
7234°·
14.73
41
42
I t
42
Lat.
72~0.
Dep.
Lat.
72~0.
1 .!I A
TABLE •. -TRAVERSE TAIIIL t:I
i
Lat. ~ -51 52 53 54 55 56 57 58 59 60
II
17°.
/i'
Dep. 14.91 15.20 15.00 15.79 16.08 16.37 16.67 16.96 17.25 17. 54
66 67 68 69 70
58.33 59.29 60.25 61. 20 62.16 63.12 64.07 65.03 65.99 66.94
17.83 18.13 18.42 18.i1 19.00 19.30 19.59 19.88 20.17 20.47
71 72 73 74 75 76 77 78 79 SO
67.90 68.85 69.81 70.77 71. 72 72.68 73.64 74.59 75.55 76.00
81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 08 99 100
65
tl j .l!l ~
i
I
Lat.
--- - - -I 48.77 49.73 00.68 51. 64 52.60 53.55 54.51 55.47 56.42 57.38
61 62 63 64
17~0.
17~0.
17W·
I!
i.
48.71 49.66 00.62 51. 57 52.53 i 53.48 ! 54.44 ; 55.39 ' 56.35 1 57.30
I
Dep.
Lat.
Dep.
Lat.
Dep.
t:I
r;;
i
~
--- -15.12 15.42 15.72 16.01 16.31 16.61 16.90 17.20 17.50 17.79
48.64 49.59 00.55 51.00 52.45 53.41 54.36 55.32 56.27 57.22
15.31 15.64 15.94 16.24 16.54 16.84 17.14 17.44 17.74 18.04
48.57 49.52 00.48 51.43 52.38 53.33 54.29 55.24 56.19 57.14
15.55 15.85 16.16 16.46 16.77 17.07 17.38 17.68 17.99 18.29
51 52 53 54 55 56 57 58 59 60
58.18 59.13
61.04 61.99 62.95 63.90 64.85 65.81 00.76
18.34 18.64 18.94 19.25 19.55 19.85 20.15 20.4.5 20.75 21.05
58.10 59.05 60.00 00.95 61.91 62.86 63.81 64.76
61 62 63 64 65 66 67 68 69 70
58.26 59.21 60.17 61.12 62.08 6.1.03 63.99 64.94 65.90 60.85
18.09 18.39 ' 18. 68 1 18.98 19.28 19.57 19.87 20. If. 20.46 20.76
00.67
18.60 18.90 19.21 19.51 19.82 20.12 20.43 20.73 21.04 21.34
20.76 21. 05 21.34 21.64 21.93 22.22 22.51 22. SO 23.10 23.39
67.81 68.76 69.72 70.67 71.63 72.58 73.54 74.49 75.45 76.40
21.05 21.35 21.65 21. 94 22.24 22.54 22.83 23.13 23.43 23.72
67.71 68.67 69.62 70.58 71. 53 72.48 73.44 74.39 75.34 76.30
21.35 21.65 21.95 22.25 22.55 22.85 23.15 23.46 23.7t\ 24.00
67.62 68.57 69.52 70.48 71. 43 72.38 73.33 74.29 75.24 76.19
21. 65 21. 95 22.26 22.56 22.86 23.17 23.47 :23.78 24.08 24.39
71 72 73 74 75 76 77 78 79 SO
• 77.46 78.42 79.37 SO. 33 81.29 82.24 8.1.20 84.15 85.11 86.07
23.68 23.97 24.27 24.56 24.85 25.14 2S.44 25.73 26.02 26.31
77.36 78.31 79.27 SO. 22 81.18 82.13 83.09 84.04 85.00 85.95
24.02 24.32 24.61 24.91 25.21 25.50 25. SO 26.10 26.39 20.69
77.25 78.20 79.16 SO. 11 81. 07 82.02 82.97 83.93 84.88 85.83
24.36 24.66 24.96 25.26 25.56 26.86 26.16 26.46 26.76 27.06
77.14 78.10 79.05 SO. 00 SO. 95 81. 91 82.86 83.81 84.76 85.72
24.69 25.00 25.30 25.61 26.91 26.22 2O.S2 26.83 27.13 27.44
81 82 83 84 85 86 87 88 89 90
87.02 87.98 88.94 89.89 90. 8.~ 91.81 92.76 93.72 94.67 95.63
26.61 26.90 27.19 27.48 27.78
86.91 87.86 88.82 89.77 90.73 91.68 92.64 93.59 94 ..55 95.50
26.99 86.79 27.28 87.74 27.58 88.70 27.87 89.65 28.17 I 90.60 28.47 I 91. .56 28.76 ! 92.51 29.00 I 93.46 29.36 94.42 95.37 29.65
27.36 27.00 27.97 28.27 28.57 28.87 29.17 29.47 29.77 30.07
86.67 87.62 88.57 89.53 90.48 91. 43 !l2.38 93.33 94.29 95.24
27.74 28.05 28.35 28.66 28.96 29.27 29.57 29.88 30.18 30.49
91 92 93 94 95 96 97 98 99 100
Dep.
Lat.
Dep.
Lat.
.
Dep.
, i I . ,
28.m
28.3ti 28. t15 28.94 29.24
Lat.
I 1
i
60.08
I
Dep.
Lat.
1
65.72
-----
73'.
72~·.
7234 '.
43
72~·.
tl
I
~
TABLE 4.-TRA.VKRSE TABLE. r---,-------o--------------------,------,-----; 18'. 18W. 18~'. ! 18'",'. t:J
f
I,'
---,---11-----;;---Let.
Let.
Dep.
i
I
i Let.
Dep.
Let.
Dep.
Dep.
Ii
--I-I~~ ~~1-0.95 ~ --;;~--13
2
1.90 ~~ 3.80
6 7
&71
1.~
&m
7.61 Lffi 9.61
2.47
4 6
8 9 10
11 12 13 14 15 16 17 18 19 2l)
~m
&00
0.62 ~W 1.24 I.M
1.90 ~~ 3.80 ~m
~w
3.09
10.46 11.41 12.36 13.31 14.27
3.40
10.45
16.~
1~i
~m
3.17
3. 49
12.35 13.30 14.25 16.20 16.14 5.ffii 17.09 18.04 g:~~ 1 18.99
6.58 6.89 7.20 7.52 7.83 8.14 8. 46 8.77 9.08 9.39
11.40
3.71 4.02 4.33 4.&1
29.44 30.39 31.34 32.29 33.24 34.19 35.14 36.09 37.04 37.99
9.71 10.02 10.33 10.65 10.96 11.27 11.00 11.90 12.21
41
38. 99 39.94 40. 90 41. ~ 42.80 43.75 44. ,0 45. L5 46.60 47. M
12. 67 12.98 13. 29 13.60 13.91 14.21 14.52 14.83 15.14 15. 45
38. 94 39.89 40.84 41. 79 42.74 43.69 44. &I 45.59 46.54 47.48
42 43 44 45 46 47 48 49 50
19.94 20.89 21.84 ~.79
23.N 24.00 25.M
26.00 27.54 28.49
I
14.~
21.81 ~76
23.71 24. f>6 25.60 26.M 27.50 28.45
Let. 72'.
--------
Dep.
I
2.67
I 1
4 5 6
7
8 9 3.2110 ~89
10.42 11.36 12.31 13.26 14.20 15.15 16.10 17.04 17.99 18.94
3.54 3.86 4.18 4.50 4.82 5.14 6.46 6.79 6.11 6.43
11 12 13 14 15 16 17 18 19 20
19.89 20.83 21. 78
6.75 7.07 7.39 7.71 8.04 8.36 8.ffi 9.00 9.32 9.64
21
29 30
~.73
i
2
3
23.67 24.62 25.57 26.51 27.46 28.41
~
23 24 25
26 27
28
12.~
30.35 31.29 32.24 33.19 34.14 35. 09 36.04 36.98 37.W
9.84 10.15 10.47 10.79 11.11 11.42 11.74 12.06 12.37 12.69
29.35 9.9G 30.30 10.29 10.61 31.25 32.20 ! 10.93 11.25 14 33. 1 11.57 34.09 35.04 11.89 35.98 t 12.21 12.54 36.93 37.88 12. 86
31 32 33 34 35 36 37 38 39 40
12. 84 13.15 13. 47 13.78 14.09 14.41 14.72 1& 03 15. 35 15.00
38. R8 39.83 40. 78 41. 73 42.67 43.62 44.57 4& 52 40.47 47.42
13. 01 13.33 13. 64 13.96 14.28 14.60 14.91 15.23 15. M 15. 87
38. 82 39.77 40. 72 41. (j(j 42. Gl 43. ffi 44.51 45.45 46.40 47.35
41 42 43 44 45 46 47 48 49 50
- - - - - - - - 1- - - - - Dep.
6.66 6.98 7.30 7.62 7.9.3 8.25 8.57 8.88 9.20 9.52
19.91
20.~
~25
&63
3.81 4.12 4.44 4.76 &08 &39 &71 6.03 6.36
15.17 16.12 17.07 18.02 18.97
29.40
~~
~~
9.48
9.58 9.89 10.20 10.51 10.82 11.12 11.43 11. 74 12.05 12.36
27.58
7.58 L62 9.47
0.64 ~OO 1.29 I.ll I.W
&ffi
~~
10.43 11.38 12.33 13.28
29.48 30.43 31.38 32.34 33.29 34.24 35.19 36.14 37.09 38.04
26:63
2.54
3.44 3.76 4.07 4.38 4.70 5. 01 5.32 5.M 5. 95 6.26
31 32 33 34 35 36 37 38 39 40
26
7.00
L~
3.13
28.~
24 25
19.97 20.92 21.87 22.83 23.78 24.73 25.ffi
1.89 ~64 3.79
&00
0.63 ~~ 1.27 1.00 1.90
&M
~~
27 28 29 30
~
23
1.90 ~64 3.79 ~N
2.51
e. 49 6.80 7.11 7.42 7.73 8.03 8.34 8.M 8.00 9.27
21
I
1.~ I.~ ~w
&M 7.60 LM 9.50
16.17 17.12 18.07 19.02
0.63 ~~ 1.25
Let.
7l~O.
13. 18 13.50 13. 82 14. 14 14.4ti 14.79 15. 11 15. 43 16. i5 16.07
---1- ----
~11_D-e-p-.-,-_Le_t_._\
I
7lW.
I
7lW.
----...!.:....-----.::!..----~--!
TA.BLE 4.-TRAVI!RSE TABLE. t:I
I
18°.
&r
187.(°.
18).jj°.
18~0.
;-
.. t1
!O c
c ~
Lat.
51 52 53 54 65 56 57 58 59 60
48.50 49.45 50.41 51.36 52.31 53.26 54.21 65.16 56.11 57.00
16.76 16.07 16.38 16.00 17.00 17.30 17. 61 17.92 18.23 18.54
48.43 49.38 50.3.1 51.28 52.23 53.18 54.13 55.08 50.03 56.98
15.97 16. 28 16.60 16.91 17.22 17.54 17.85 18.16 18.48 18. 79
48.36 49.31 50.26 51.21 62.16 53.11 54.05 65.00 65.95 56.00
16.18 16. 50 16.82 17.13 17.45 17.77 18.09 18. 40 18.72 19.04
48.29 49.24 50.19 51.13 62.08 53.03 53.98 54.92 55. 87 50.82
16.39 16.71 17.04 17.36 17.68 18.00 18.32 18.64 18.00 19.29
51 52 53 54 65 56 57 58 69 60
61 62
68.01 68.97 59. 9'~ 60.87 61.82 62.77 63.72 64.67 65.62 66.57
18. 85 19.16 19.47 19.78 20.09 20.40 20.70 21.01 21.32 21.63
57.93 58.88 69.83 60.78 61.73 62.68 63.6.3 64.68 65.5.3 66.48
19.10 57.85 19.42 58.80 19.73 I 59.74 20.04 I 60.69 20.36 i 61.64 20.67 I 62.59 20.98 63.54 64.49 21.30 21.61 65.43 21.92 66.38
-19.36 19.67 19.99 20.31 20.62 20.94 21.26 21.68 21. 89 22.21
57.76 68.71 59.66 60.60 61. 65 62.50 63.44 64.39 65.34 66.29
19.61 19.93 20.25 20.57 20.89 21.22 21.54 21.86 22.18 22.50
01 62 64 65 66 67 68 00 70
67.53 68.48 69.4.3 70.38 71.33 72.28 73.23 74.18 75.13 76.08
21.94 22.25 22.50 22.87 23.18 23.49 23.79 24.10 24.41 24.72
67.43 68.38 69.3.3 70.28 71.23 72.18 73.13 74.08 75.03 75.98
22.23 22.65 22.86 23.17 23.49 23.80 24.11 24.43 24.74 25.05
67.33 68.28 00.23 70.18 71.12 72.07 73.02 73.97 74. 92 75.87
22.5.3 22.85 23.16 23.48 23.80 24.12 24.43 24.75 25.07 25.38
67.23 68.18 00.13 70.07 71.02 71. 97 72.91 73.86 74. 81 75. 75
22.82 23.14 23.47 23.79 24.11 24.43 24.75 25.07 25.39 25.72
71 72 73 74 75 76 77 78 79 80
77.04 77.99 78.94 79.89 80.84 81. 79 82.74 83.69 84.f>4 85.60
25. 03 25.34 25.65 25.00 26.27 26.68· 26.88 27.19 27.50 27.81
76.93 77.88 78.83 79.77 80.72 81.67 82.62 8-3.57 84.52 85.47
25.37 25.68 25. 99 26.31 26.62 26.93 27.25 27.156 27.87 28.18
76.81 77.76 78.71 79.66 80.61 81.156 82.50 83.45 84.40 85.35
25.70 26.02 26.34 26.65 26. 97 27.29 27.61 27.92 28.24 28.156
76.70 77.65 78.60 79.54 80.49 81. 44 82.38 83.33 84.28
85.22
26.04 26.36 26.68 27.00 27.32 27.64 27.97 28.29 28.61 28.93
81 82 83 84 85 86 87 88 89 00
86.65 87.50 88.4.> 89.40 00.35 91.30 92.25 93.20 94.15 95.11
28.12 28.43 28.74 29.05 29.36 29.67 29.97 30.2R 30.69 30.00
86.42 87.37 88.32 89.27 00.22 91.17 92.12 93.07 94.02 94.97
28.50 28.81 29.12 29.44 29.75 30.00 30.38 30.69 31.00 31.32
86.30 87.25 88.19 89.14 00.09 91.04 91.99 92.94 93.88 94.83
28.87 29.19 29.51 29.83 30.14 30.46 30.78 31.10 31.41 31.73
86.17 87.12 88.00 89.01 89.00 00.91 91.85 92.80 93.75 94.69
29.25 29.57 29.89 30.22 30.54 30.86 31.18 31.50 31.82 32.14
91 92 93 94
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
- - - - - - - - - - - - - - - - - - - - - - ---
m
64 65 66 67 68
69 70 71 72 73 74 75 76 77 78 79
80 81
82 83 84 85 86 87 88 89 00 91 92 93 94
95 00 97 98
99 100
- - - - - --~
i .!I
Q
Dep.
Lat. 72°.
fi
--
ro
Q5
96 97
08 99 100
--- - - - - - - - - - - - - - - - Dep.
Lat.
71~0.
Dep.
Lat.
71~0.
De".
Lat.
717.(0.
a
~
TABLE 4.-TB!VERSE TABLE. t:i
J
I _.
19°.
;;
Lat.
Dep.
I
19~0.
Lat.
I
Dep.
Lat.
t:i
193,4°.
i ---- 19W·
1
Dep.
Lat.
Dep.
g ~
- - --- - - - - - - - - -! - - - - - - - - - - - ' - 1 2 3 4 5 6 7 8 9 10
0.95 1.89 2.84 3.78 4.73 5.67 0.62 7.56 8.51 9.46
0.33 0.65 0.98 1. 30 1.63 1. 95 2.28 2.60 2.93 3.26
0.94 1.89 2.83 3.78 4.72 5.66 6.61 7.55 8.50 9.44
11 12 13 14 15 16 17 18 19 20
10.40 11.35 12.29 13.U 14.18 15.13 16.07 17.02 17.00 18.91
3.58 3.91 4.23 4.56 4.88 5.21 5.53 5.8ti 6.19 6.51
21 22 23 24 25 26 27 28 29 30
19.86 20.80 21. 75 22.69 23.64 U58 25.53 26.47 27.42 28. 37
31
41 42 43 44 45 46 47
32 33 34 35 36 37 38 39 40
48
49 50
0.94 1.89 2.83 3.77 4.71 5.66 6.60 7.M 8.48 9.43
0.33 0.67 1.00 1. 34 1. 67 2.00 2.34 2.67 3.00 3.34
0.94 1.88 2.82 3.76 4.71 5.65 6.59 7.53 8. 47 9.41
0.34 0.68 1.01 1.35 1.69 2.03 2.37 2.70 3.0-1 3.38
1 2 3 4 5 6 7 8 9 10
10.38 11. 33 12.27 13.22 14.10 15.11 Iti. OS 16.99 17.94 18. 88
3.63 10.37 3.96 11.31 4.29 [ 12.25 4.62 13.20 4.95 14.14 5.28 15.~ 5.60 16.02 5.93 16.97 6.26 17.91 6.59 18. 85
3.67 4.01 4.34 4.67 5.01 5.34 5.67 6.01 6.34 6.68
10.35 11. 29 1224 13.18 14.12 15.06 16.00 If. 94 17.88 18. 82
3.72 4.06 4.39 4.73 5.07 5.41 5.74 0.08 6.42 6.76
11 12 13 14 15 16 17 18 19 20
6.84 7.16 7.19 7.81 8.H R 46 8.79 9.12 9.44 9.77
19.83 20.77 21. 71 22.66 23.60 21.SS 25.49 2H.43 27.38 28.32
6.92 7.25 7.58 7.91 8.24 R. 57 8.90 9.23 9.56 9.89
19.80 20.74 21.68 22.62 23.57 2-1. 51 25.45 26.39 27.34 28.28
7.01 7.34 7.68 8. 01 8.35 8.68 9.01 9.35 9.68 10.01
19.76 20.71 21.65 22.59 2.1.53 24.47 25.41 2.>.35 27.29 28.24
7.10 7.43 7.77 8.11 8.45 8.79 9.12 9.46 9.80 10.14
21 22 23 24 25 26 27 28 29 30
29.31 30.26 31. 20 32.15 33.09 34.0-1 34.98 35.93 36.88 37.82
10.09 10.42 10.74 11.07 11.39 11.72 12.05 12.37 12.70 13.O'l
29.27 3U.21 31.15 32.10 33.0-1 33.99 34.93 3.,.88 36.82 37.76
10.221 10.55 10.88 11. 21 1 11. 54 11.87 12.20 12.53 12.86 13.19
29.22 30.16 31.11 32.05 32.99 33.94 34.88 35.82 36.76 37.71
10.35 10.68 11.02 11.35 11. 68 12.02 12.35 12.68 13.02 13.35
29.18 30.12 31.06 32.00 32.94 33.88 3·1.82 35.76 36.71 37.65
10.48 10.81 11.15 11.49 11.83 12.17 1250 1284 13.18 13.52 I
31 32 33 34 35 36 37 38 39 40
38.77 39.71 40.66 41.60 4255 43.49 44.44 45.38 46.33 47.28
13.35 13.67 14.00 14.33 14.(;'; 14.98 15.30 15.63 15.95 16.28
3.3.71 39.65 40. GO 41.M 42.48 43.43 44.37 45.32 46.26 47.20
13.52 13.85 14.18 14.51 14.84 15.17 15.50 15.83 16.15 16.48
38.65 39.59 40.63 41. 48 42.42 43.36 44.30 45.25 46.19 47.13
13.69 14.02 14.35 11.09 15.02 15.36 15.69 10.02 16.36 16.69
38.59 39.53 40.47 41. 41 42.35 43.29 41.24 45.18 46.12 47.06
13.85 14.19 14.63 14.87 15.21
41 42 43 44
Dep.
Lat.
0.331 0.66 0.99 1. 32 I 1.65 1.98 2.31 2.64 2.97 3.30
._- - - - - - - - - - - - - - - - - -
J
.!I
A
Dep. 71°.
Lat.
Dep.
Lat.
Dep.
Lat.
70~0.
700,4°.
46
4S
15.M 46 15.88 47 16.22 48 49 16. 56 16. 90 50 --- --- --
70~0.
J
.!I
A
TABLE 4.-TKAVEKSE TABLE. t:I
f
19°.
19)4°.
Dep.
Lat.
- - ---
Lat.
19W.
Lat.
'Dep.
I
1~0.
Lat.
Dep.
Dep.
t:I
rn ~ ~
--- - - - - - - - - - - - - - - - - - - - -
51 52 53 04 66 56 57 58 59 60
48.22 49.17 1iO.1l 61.06 52.00 52.95 53.89 04.84 66.79 56.73
16.60 16.93 17.26 17.58 17.91 18.23 18.56 18.88 19.21 19.53
48.15 49.09 1iO.04 1iO.98 61.92 52.87 5.3.81 54.76 55.70 56.65
16.81 17.14 17.47 17.80 18.13 18.46 18.79 19.12 19.45 19.78
48.CJ1
49. iJ2 49.96 1iO.90 51.85 52.79 53.73 54.67 55.62 56.56
17.02 17.36 17.69 18.03 18.36 18.69 19.03 19.36 19.69 20.03
48.00 48.94 49.88 1iO.82 61. 76 52.71 53.65 04.59 66.53 56. 47
17.23 17.57 17.91 18.25 18.59 18.92 19.26 19.60 19.94 20.28
51 52 53 04 66 56 57 58 59 60
61 62 63 04 65 66 67 68 69 70
57.68 58.62 59.57 60.51 61. 46 62.40 63.35 64.30 65.24 66.19
19.86 20.19 20.51 20.84 21.16 21.49 21.81 22.14 22.46 22. 79
57.59 58.53 69.48 60.42 61.37 62.31 63.25 64.20 M.14 66.09
20.11 20.44 20.77 21.10 21. 43 21.76 22.09 22.42 22.75 23.08
57.1iO 58.44 59.39 60.33 61.27 62.21 63.16 64.10 65.04 65.98
20.36 20.70 21.03 21.36 21. 70 22.03 22.37 22.70 23.03 23.37
57.41 58.35 59.29 60.24 61.18 62.12 63.06 64.00 64.94 65.88
20.61 20.95 21.29 21.63 21.96 22.30 22.64 22.98 23.32 23.65
61 62 63 04 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
67.13 68.08 69.02 69.97 70.91 71.86 72.80 73.75 74.70 75.64
23.12 23.44 23.77 24.09 24.42 24.74
23.41 23.74 24.07 24.40 24.73 25.06 25.39 25.72 26.05 26.38
66.93 67.87 68.81 69.76 70.70
25.39 25.72 26.05
67.03 01.97 68.92 69.86 70.8.1 71. 75 72.69 73.64 74.58 75.53
23.70 24.03 24.37 24.70 25.04 25.37 25.70 26.04 26.37 26.70
66.82 67.76 68.71 69.65 70.59 71.5.3 72.47 73.41 74.35 75.29
23.99 -24.33 2·1.67 25.01 25.34 25.68 26.02 26.36 26.70 27.03
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
76.59 77.53 78.48 79.42 SO. 37 81.31 82.26 83.21 84.15 85.10
26.37 26.70 27.02 27.35 27.67 28.00 28.32 28.65 28.98 29.30
76.47 77.42 78.36 79.30 SO. 25 81.19 82.14 83.08 84.02 84.97
26.70 27.03 27.36 27.69 28.02 28.35 28.68 29.01 29.34 29.67
76.2~
82.01 82.95 83.90 84.84
81.CJ1
27.04 27.37 27.71 28.04 28.37 23.71 29.04 29.38 29.71 30.04
77.18 78.12 79.06 80.00 80.94 81.88 82.82 83.76 84.71
27.37 27.71 28.05 28.39 28.72 29.06 29.40 29.74 30.CJ1 30.41
81 82 83 84 85 86 ffl 88 89 90
91 92 93 94 95
86.04 86.99 87.93 88.88 89.82 90.77 91. 72 92.66 93.61 94.66
29.63 29.95 30.28 30.60 30.93 31.25 31.58 31.91 32.23 3%.56
85.91 86.86 87.80 88.74 89.69 90.63 91.58 9"2. 52 93.46 94.41
30.00 30.33 30.66 30.99 31.32 31.65 31.98 32.31 32.64 82.97
85.78 86.72 ffl.67 88.61 89.66 90.49 91. 44 92.38 93.32 94.26
30.38 30.71 31.04 31.38 31. 71 32.05 32.38 32.71 33.05 33.38
85. 65 86. 59 87.53 88.47 89.41 90.35 91.29 92.24 93.18 94.12
30.75 31.09 31.43 31. 76 32.10 32.44 82.78 33.12 33.45 33.79
91 92 93 94 95 96 97 98 99 100
96
97 98 99 100
25.CJ1
- ---- ---
2i
~
A
Dep.
Lat. 71°.
71.64
72.58 73.53 74.47 75.41 76.35 77.30 78.24 79.18 80.12
I
--- - - - I - - - - --- - - - - Dep.
Dep.
Lat.
~o.
Lat.
7O~0.
47
Dep.
Lat.
70)4°.
~
j
TABLE 4.-TRAVEBSE TABLE.
.,
J --
Lat.
--
,
20 0•
t:;
20~·.
Dep.
- - - ---
Lat.
20~·.
II
Lat.'
Dep.
------
Dep.
0.94 1.88 2.82 3.76 4.70 5.64 6.58 7.52 8. 46 9.40
0.34 0.(;8 1.03 1.37 1.71 2.05 2.39 2.74 3.08 3.42
0.94 1.88 2.81 3.75 4.69 5.63 6.57 7.51 8.« 9.38
0.35 ·0.69 1.04 1.38 1.73 2.08 2.42 2.77 3.12 3.40
0.94 1.87 2.81 3.75 4.68 5.02 6.50 7.49 8.43 9.37
0.35 0.70 1.05 1.40 1.75 2.10 2.45 2. !IO 3.15 3.50
11 12 13 14 15 16 17 18 19 20
10.34 11.28 12.22 13.16 14.10 15.04 15.97 10.91 17.85 18. 79
3.70 4.10 4.45 4.79 5.13 5.47 5.81 6.lG 6.50 6.84
10.32 11.26 12.20 13.13 14.07 15.01 15.95 16.89 17.83 18. 76
3.81 4.15 4.50 4.85 5.19 5.54 5.88 0.23 6.58 6.92
10.30 11.24 12.18 13.11 14.05 14.99 15.92 lG.!16 17. SO 18.73
21
25 26 'r1 28 29 30
19.73 20.&7 21.61 22.55 23.49 24.43 25.37 26.31 Z1.25 28.19
7.18 7.52 7.87 8.21 8.55 8.89 9.23 9.58 9.92 10.26
19.70 20.64 21.58 22.52 23.45 24.39 25.33 26.Z1 Z1.21 28.15
7.Z1 7.01 7.96 R31 8.65 9.00 9.35 9.(9 10.04 10.38
31 32 33 34 35 36 37 38 39 40
29.13 30.07 31.01 31.95 32.89 33.83 34.77 35.71 36.65 37.59
10.60 10.94 11.29 11.63 11.97 12.31 12.65 13.00 13.34 13.68
29.08 30.02 30.96 31.90 32.84 33.77 34.71 35.05 36.59 37.53
41 42 43 H
38.53 39.47 40.41 41.35 42.29 43.23 «.17 45.11 46.04 46. 98
14.02 14.36 14.71 15.05 15.39 15.73 16. 07 16.42 16. 76 17.10
38.47 39.40 40.34 41.28 42.22 43.16 «.09 45.03 45.97 46.91
22
:u
45
40 47 48 49 50
Dep.
i
~
4.C8 5.fil 6.55 7.48 8.42 9.35
1 2 3 4 5 6 7 8 9 10
3.85 4.20 4.55 4.90 5.25 5.60 5.95 0.30 6.65 7.00
10.29 11.22 12.16 13.09 14.03 14.96 15.90 16.8.1 17.77 18.70
3.90 4.25 4.01 4.96 5.31 5.07 0.02 6.38 6.73 7.09
11 12 13 14 15 16 17 18 19 20
19.07 20.61 21.54 22.48 23.42 21 . .105 25.29 26.23 Z1.10 28.10
735 7.70 8.05 8.40 8.76 9.11 9.46 9.81 10.16 10.51
19.64 20.57 21.51 22.44 23.38 24.31 25.25 26.18 Z1.12 28.05
7.« 7.79 8.15 8.50 8.86 9.21 9.57 9.92 10.Z1 10.63
21 22 23 24 25
10.73 11.08 11.42 11.77 12.11 12.46 12.81 1.1.15 13.50 13. 84
29.04 29.97 30.91 31.1!5 32.78 33.72 34.00 35.59 36.53 37.47
10.86 11.21 11.56 11.91 12.26 12.01 12.96 13.31 13.66 14.01
28.99 29.92 30.86 31.79 32.73
10.98 11.34 11."0 12.05 12.40 12.75 13.11 13.46 13.82 14.17
.11 32 33 34 35 36 37 38 39
14.19 14.54 14.88 15.23 15.58 15.92 16. Z1 16.61 10.96 17.31
38.40 39.34 40.28 41. 21 42.15 43.09 44.02 44.96 45.90 46.8.3
14.36 14.71 15.06 15.41 15.76 16. II 16.46 lG.81 17.16 17.51
14.53 14.88 15.23 15.59 15.94 10.30 16. fJ6 I7. 01 17.36 17.71
41 42 43 « 45 4G 47
~
Lat.
70°.
Lat.
0.35 0.71 1.06 1.42 1.77 2.13 2.48 2.83 3.19 3.54
--- ------- --Lat. Dep. Dep.
J
t:I
--- --- --- ---- -
I 2 3 4 5 0 7 8 9 10
23
.,
2O-~0.
Dep.
--Lilt.
6~·.
69',40.
48
0.94 1.87
N!
33.~6
34.60 35.54 36.47 37.H 38.34 39.28 40.21 41. 15 42.08 43.02 43.95
44.89
45.82 41f. 76
20
Z1 28 29 30
40
48 49 50
------ - Dep.
Lat.
()9~ ••
J
is
TABLE ".-TRA.VERSE TABLE.
~
Ii"
l
Lat.
2O~ ••
~'.
20·.
Dep.
------
Lat.
i
I I
I Lat.
Dep.
Dep.
------ !
~'.
~IDep.
l:'
Ii"
J
51 52 63 M 55 56 57 58 59 00
47.92 48.86 49.80 60.74 51. f\8 52.62 63.56 M.60 55.44 00.38
17.79 18.13 18.47 18.81 19.15 19.50 19.64 20.18 20.52
17.~
47.85 48.79 49.72 60.66 61. 00 62.M 63.48 54.42 55.35 56.29
17.65i 18.00 18.34 18.69 19. 04 19.38 111.73 20.(J7 20.42 20.77
47.77 48.71 49.64 60.58 51.62 5%.45 63.39 M.33 55. 26 56.20
17.86 18.21 18. 56 18.91 19.26 19.61 19.96 20.31 20.66 21.01
47.69 48.63 49.56 60.50 61. 43 62.37 63.30 M.24 55.17 56.11
18.(J7 18.42 18. 78 19.13 19.49 19.64 20.19 20.55 20.90 21.26
51 52 63 M 55 56 57 58 59 00
61 62 63 64 65 66 67 68 69 70
57.32 58.26 59.20 00.14 61.08 62.02 62.96 63.90 64.64 65.78
20.86 21.21 21.55 21.89 22.23 22.57 22.92 23.26 23.00 23.94
57.23 58.17 59.11 00.04 61.92 62.86 63.80 64.74 65. 67
21.11 21.46 21.81 22.15 22.60 22.64 23.19 23.M 23.88 24.23
57.14 58.(J7 59.01 59.95 00.88 61.82 62.76 63.69 64.63 65.57
21.36 21. 71 22.06 22.41 22.76 23.11 23.46 23.81 24.16 24.51
67.04 57.98 58.91 59.85 00.78 61. 72 62.65 63.59 64.52 65.46
21.61 21. 97 22.32 22.67 23.03 23.38 23.74 24.09 24.45 24.80
81 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
66.72 67.66 68.00 69.M 70.48 71.42 72.36 73.30 74.24 75.18
24.28 24.63 24.97 25.31 25.65 25.99 26.34 26.68 27.02 27.36
66. 61 67.55 68.49 69.43 70.36 71.30 72.24 73.18 74.12 75.06
24.57 24.92 25.27 25. 61 25.96 26.30 26.65 27.00 27.34 27.69
66.50 67.44 68.38 69.31 70.25 71.19 72.12 . 74.00 74.93
24.86 25.21 25.57 25.92 26.27 26.62 26.97 27.32 27.67 28.02
66.39 67.33 68.26 69.20 70.14 71.(J7 72. 01 72.94 73.88 74.81
25.15 25.51 25.86 26.22 26.57 26.93 27.28 27.63 27.99 28.34
74 75 76 77 78 79 80
81 82 83 64 85 86 87 88 89 110
76.12 77.05 77.99 78. 93 79.87 80 81 81.75 82.69 83.63 64.57
27.70 28.05 28.39 28.73 29.07 29.41 29.76 30.10 30.44 30.78
75.99 76.93 77.87 78.81 79.75 80.68 81. 62 82.56 83.50 64.44
28.04 28.38 28.73 29.(J7 29.42 29.77 30.11 30.46 30.80 31.15
75.87 76.81 77.74 78.68 79.62 80.55 81. 49 82.43 83.36 64.30
28.37 28.72 29.07 29.42 29.77 30.12 30.47 30.82 31.17 31.52
75. 75
28.70 29.05 29.41 29.76 30.11 30.47 30.82 31. 18 31. 53 31.89
81 82 83 64 85 86 87 88 89 90
91 92 93
85.51 . 31.12
G4 t5 96
117
98 99 100
OO.~
73.00
86.45 87.39 88.33 89.27 110.21 91.15 92.09 93.03 93.117
31.47 31.81 32.15 32.49 32.83 33.18 33.52 33.86 84.20
85.38 86.31 87.25 88.19 89.13 00.(J7 91.00 91. 94 92.88 93.82
31.60 31.64 32.19 32.M 32.88 33.23 33.57 33.92 34.27 34.61
85.24 86.17 87.11 88.05 88.U8 89.92 90.86 91. 79 92.73 93.67
31.87 32.22 32.57 32.92 33.27 33.62 33.97 34.32 34.67 35.02
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
- - --- r---- - - - --- - - - -
j
.l!I
A
70·.
41479-10--4
~
~
49
78.55 79.49 80.42 81.36 82.29 83.23 64.16 85.10 86.03
I 86.97 87.90 88.64 89.77 110.71 91.64 92.58 93.51
32.24 32.59 32.95 33.30 33.66 34.01 34.37 34.72 35.(J7 35.43
III 92 93 94
to
t6 97 98 99 100
--- --- --
..
..
I 76.68 77.62
71 72
73
Dep.
Lat.
69~·.
J
~
A
I
TABLE 4.-TRAVEBSE TABLE. t;1
21°.
Iii"
~ !i
Lat.
21~·.
21W·
Dep.
- - ------
Lat.
Lat.
Dep.
t;1
21~0.
Dep.
Lat.
Dep.
f
--- --- - - - - - - - - - --- - -
I 2 3 4 5 6 7 8 9 10
0.93 1.87 2.8) 3.73 4. 67 5.60 6.64 7.47 8.40 9.34
0.36 0.72 1.08 1.43 1. 79 2.15 2.51 2.87 3.23 3.58
0.93 1.86 2.8) 3.73 4.66 5. 59 6.52 7.46 8.39 9.32
0.36 0.72 1.09 1.45 1.81 2.17 2.64 2.90 3.26 3. 62
0.93 1.86 2.79 3.72 4.65 5.68 6.51 7.44 8.37 9.30
0.37 0.73 1.10 1.47 1.83 2.20 2.57 2.93 3.30 3.67
0.93 1.86 2.79 3.72 4.64 5.57 6.50 7.43 8.36 9.29
0.37 0.74 1.11 1.48 1.85 2.22 2.59 2.96 3.34 3.71
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10. 27 11.20 12.14 13.07 14.00 14.94 15.87 16.80 17.74 18.67
3.94 4.30 4.66 5.02 5.38 5. 73 6.09 6.45 6.81 7.17
10.25 11.18 12.12 13.05 13.98 14.91 15.84 16.78 17.71 18. 64
3.99 4.35 4.71 5.07 5. 44 5.80 6.16 6.52 6.89 7.25
10.23 11.17 12.10 13.03 13.96 14.89 15.82 16.75 17.68 18.61
4.03 4.40 4. 76 5.13 • 5.50 5.86 6.23 6.60 6.96 7.33
10.Zl 11.15 12.07 13.00 13.93 14.86 15. 79 16.72 17.65 18. 58
4.08 4.45 4.82 5.19 5.66 5.93 6.30 6.67 7.04 7.41
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25
7.03 7.88 8.24 8.60 8.96 9.32 9.68 10.03 10.39 10.75
19.57 20.50 21.44 22.37 23.30 24.23 25.16 26.10 27.03 27.96
7.61 7.97 8.34 8.70 9.06 9.42 9.79 10.15 10. 51 10.87
19.64 20.47 21. 40 22.33 23.26 24.19 25.12 26.05 26.98 27.91
7.70 8.06 8.43 8.80 9.16
27 28 29 30
19.61 20.64 21. 47 22.41 23.34 24.27 25. 21 26.14 27.07 28.01
9.90 10.26 10.63 11.00
19.51 20.43 21.36 22.29 23.22 24.15 25.08 26.01 26.94 27.86
7.78 8.15 8.52 8.89 9.26 9.63 10.01 10.38 10.75 11.12
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 87 38 39 40
28.94 29.87 30.81 31. 74 32.68 33.61 34.64 35.48 36. 41 37.34
11.11 11.47 11.83 12.18 12.54 12.90 13.26 13.62 13.98 14.33
28.89 29.82 30.76 31. 69 32.62 33.50 34.48 35.42 36.35 37.28
11.24 11.60 11.96 12.32 12.69 13.05 13.41 13.77 14.14 14.50
28.84 29.77 30.70 31.63 32.66 33.50 34.43 35.36 36.29 37.22
11.36 11.73 12.09 12.46 12.83 13.19 13.56 13.93 14.29 14.66
28.79 29.72 30.65 31. 68 32.51 33.44 34.37 35.29 36.22 31.15
11.49 11.86 12.23 12.60 12.97 13.34 13.71 14.08 14.45 14. 82
31 32 33 34 35 36 87 38 39 40
41 42 43 44 45 46 47 48
38.28 39.21 40.14 41.08 42.01 42.94 43.88 44.81 45.75 46.68
14.69 15.05 15.41 15.77 16.13 16.48 16.84 17.20 17.66 17.92
38. 21 39.14 40.08 41.01 41. 94 42.87 43.80 44.74 45.67 46.60
14.86 15.22 15.68 15. 95 16.31 16.67 17.03 17.40 17.76 18.12
38.15 39.08 40.01 40.94 41.87 42.80 43.73 44.66 45. 59 46.52
15.03 15.39 15. 76 16.13 16.49 16.86 17.23 17.59 17.96 18.33
38.08 39.01 39.94 40.87 41.80 42.73 43.65 44.58 45.51 46. 44
15.19 15. 66 15.93 16.30 16. 68 17.05 17.42 17.79 18.16 18.53
41 42 43 44 45 46 47 48
26
49 50
- - --- - ~
I
A
Lat.
Dep. 69°.
9.03
49 50
- - - - - - - - - - - - - - - --- - Dep.
Lat.
68","°.
I
I 50
Dep.
Lat.
68~0.
Dep.
Lat.
68~0.
j A
TABLE f.-TRAVERSE TABLE.
I
t:; r;;
21°.
li
Lat. . Dep.
51 52 53 54 55
47.61 48.55 49.48 50.41 51.35 52.28 53.21 54.15 65.08 56.01
18.28 18.64 18.99 19.35 19.71 20.07 20.43 20.79 21.14 21.50
47.53 48.40 49.40 50.33 51.26 52.19 53.12 54.06 54.99 55.92
18.48 18.85 19.21 19.57 19.93 20.30 20.00 21.02 21.38 21.75
47.45 48.38 49.31 50.24 51.17 52.10 53.03 53.00 54.89 55.83
18.69 19.06 19.42 19.79 20.16 20.52 20.89 21.26 21.62 21. 99
47.37 48.30 49.23 50.15 51.08 52.01 52.94 53.87 54.80 55.73
18.90 19.27 19.64 20.01 20.38 20.75 21.12 21.49 21.86 22.23
51 52 53 54 65
56.95 57.88 58.82 59.75 60.68 61.62 62.65 63.48 64.42 65.35
21.86 22.22 22.68 22.94 23.29 23.65 24.0l 24.37 24.73 2.5.09
56.85 57.78 68.72 59.65 60.68 61.51 62.44 63.38 64.31 85.24
22.11 22.47 22.83 23.20 23.56 23.92 24.28 24.65 25.01 2.5.37
56.76 57.69 58.62 59.55 00.48 61. 41 62.3t 63.27 64.20 65.13
22.36 22.72 23.09 23.46 2.3.82 24.19 24.56 24.92 2.5.29 25.66
56.66 57.00 68.52 00.44 00.37 61.30 62.23 63.16 64.09 65.02
22.60 22.97 23.35 23.72 24.09 24.46 24.83 25. 20 2.5.57 2.5.94
51 63 64 65 66 67 68 69 70
00.28 67.22 68.15 69.08 70.02 70.95 71.89 72.82 73.75 74.69
25.44 25.80 26.16 26.52 26.88 27.24 27.59 27.95 28.31 28.67
66.17 67.10 68.04 68.97 69.90 70.83 71.76 72.70 73.63 74.56
25.73 26.10 26.46 26.82 27.18 27.55 27.91 28.27 28.63 29.00
66.06 66.99 67.92 68.85 69.78 70.71 71. 64 72.57 73.50 74.43
26.02 26.39 26.75 27.12 27.49 27.85 28.22 28.59 28.95 29.32
65.95 66.87 67.80 68.73 69.66 70.59 71.52 72. 45 73.38 74.30
26.31 26.68 27.05 27.42 27.79 28.16 28.53 28.90 29.27 29.64
71 72 73 74 75 76 77 78 79 80
75. 62 76.65 77.49 78.42 79.35 80.29 81.22 82.10 83.09 84.02
29.03 29.39 29.74 30.10 30.40 30.82 31.18 31.54 31. 89 32.2.5
75.49 76.42 77.36 78. 29 79.22 SO. 15 81.08 82.02 82.95 83.88
29.36 29.72 30.08 30.44 30.81 3t.17 31.53 31.89 32.26 32.62
75.36 76. 29 77.22 78.16 79.09 80.02 80.95 81. 88 82.81 83.74
29.69 30.05 30.42 30.79 31.15 31.52 31.89 32.2.5 32.62 32.99
75.23 76.16 77.09 78.02 78. 95 79.88 80.81 81. 74 82.66 83.59
30.02 30.39 30.76 31.13 31.50 31.87 32.24 32.61 32.98 33.35
81 82 83 84 85 86 87 88 89 00
84.96 85.89 86.82 87.76 88. 69 89.62 00.66 91.49 92.42 93.36
32.61 32.97 33.33 33.69 34.04 34.40 34.76 35.12 35.48 35.84
84. 81 85. 74 86.68 87.61 88.54 89.47 00.40 91.34 92.27 93. 20
32.98 33.34 33.71 34.07 34.43 34.79 35.16 35. 52 35.88 36.24
84.67 85.00 86.53 87.46 88.39 89.32 00.25 91.18 92.11 93.04
33.35 33.72 34.08 34.45 34.82 35.18 35.65 35.92 36.28 36.65
84.52 85.45 86.38 87.31 88.24 89.17 00.09 91.02 91. 95 92.88
3.3.72 34.09 34.40 34.83 35.20 35.57 35. 94 36.31 36. 69 37.06
~
21~0.
- - --- - - -
56 57 68 59
60 61 62
63 64 65 66 67
68 69 70 71 72 73 74 75 76
n
78 79
80 81 82 83 84 85 86 87 88
89 00
91 92 93 94
95 96 97 98 99 100
Lat.
217S0.
Dep.
Lat.
Dep.
21W·
Lat.
Dep.
t:; r;;
g
lil
--- - - - - - - - - - - - - - - - - -
I
56 57 68 59 60
62
91 92
93 94
95 96 97 98 99 100
- - ------ - - - - - - --- - - - - - - - - - - !!
S" .:a A
Dep.
Lat. 69°,
Dep.
L8t.
~o.
i Dep. I 51
Lat.
687S0.
Dep.
Lat.
~',
8
j
A
TABLE 4.-TIU. VERSE 'I'ABLE. c;)
22°.
t;"
~
1i
Lat.
I
Lat.
Dep.
Lat.
Dep.
Dep.
-
. t:1
S:I
1i
0.37 0.75 1.12 1.50 1.87 2.25 2.62 3.00 3.37 3.75
0.93 1.85 2.78 3.70 4.63 5.55 6.48 7.40 8.33 9.26
0.38 0.76 1.14 1.51 1.89 2.27 2.65 3.03 3.41 3. 79
0.92 1.85 2.77 3.70 4.62 5.54 6.47 7.39 8.31 9.24
0.38 0.77 1.15 1.53 1. 91 2.30 2.68 3.06 3.44 3.83
0.92 1.84 2.77 3.69 4.61 5.53 U.4t1 7.38 8.30 9.22
0.39 0.77 1.16 1.55 1.93 2.32 2.71 3.09 3.48 3.87
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
10.20 11.13 12.05 12.98 13.91 14.83 15.76 16.69 17.62 18.54
4.12 4.50 4.87 5.24 5.62 5.99 6.37 6.74 7.12 7.49
10.18 11.11 12.03 12.96 13.88 14.81 15.73 16.86 17.59 18.51
4.17 4.54 4.92 5.30 5.68 6.06 6.44 6.82 7.19 7.67
10.16 11.09 12.01 12.93 13.86 14.78 15.71 16.63 17.55 18. 48
4.21 4.59 4.97 5.36 5.74 6.12 6.51 6.89 7.27 7.65
10.14 11. 07 11.99 12.91 13.83 14.76 15.68 16.60 17.52 18. 44
4.25 4.64 5.03 5.41 5.80 6.19 6.57 6.96 7.35 7.73
11 12 13 14 15 Hi 17 18 19 20
21 22 23 24 25 26 27 28 29
19.47 20.40 21.33 22.25 23.18 24.11 25.03 25.96 26.89 27.82
7.87 8.24 8.62 8.99 9.37 9.74 10.11 10.49 10.86 11.24
19.44 20.36 21.29 22.21 23.14 24.06 24.99 25.92 26.84 27.77
7.96 8.33 8.71 9.09 9.47 9.84 10.22 10.60 10.98 11.36
19.40 20.33 21.25 22.17 23.10 24.02 24.94 25.87 26.79 27.72
8.04 8.42 8.80 9.18 9.57 9.96 10.33 10.72 11.10 11.48
19.37 20.29 21.21 22.13 23.06 2.~. 98 24.90 25.82 26.74 27.67
8.12 8.51 8.89 9.28 9.67 10.05 10.44 10.83 11.21 11.60
21 22 23
31 32 33 34 35 36 37 38 39 40
28.74 29.67 30.60 31.52 32.45 33.38 34.31
28.69 29.62
36.16 37.09
11.61 11.99 12.36 12.74 13.11 13.49 13.86 14.24 14.61 14.98
11.74 12.12 12.50 12.87 13.25 13.63 14.01 14.39 14.77 15.15
28.64 29.56 30.49 31.41 32.34 33.26 34.18 35.11 36.03 36.96
11.86 12.25 12.63 13.01 13.39 13.78 14.16 14.54 14.92 15.31
28.59 29.51 30.43 3\.35 32.28 33.20 34.12 35.04 35.97 36.89
11.99 12.37 12.76 13.15 13.53 13.92 14.31 14.70 15.08 15.47
38 39 40
41 42 43 44 45 46 47 48 49 50
38.01 38.94 39.87 40.80 41.72 42.65 43.58 44.50 45.43 46.36
15.36 15.73 16.11 16.48 16.86 17.23 17.61 17.98 18.36 18.73
15.52 15.90 16.28 16.fl6 17.04 1i.42 17.80 18.18 18.55 18.93
37.88 38.80 39.73 40.65 41.57 42.50 43.42 44.35 45.27 46.19
IS. 69 16. 07 16.46 16.84 17.22 17.60 17.99 18.37 18.75 19.13
37.81 38.73 39.65 40.58 41.50 42.42 43.34 44.27 45.19 46.11
15.86 16.24 16.63 17.02 17.40 17.79 18.18 18.56 18. 95 19.34
41 42 43 44 45 46 47 48 49 50
: ! 30
,
Dep.
~o.
0.93 1.85 2.78 3.71 4.64 5.56 6.49 7.42 8.34 9.27
1 2 3 4 5 6 7 8 9 10
:
Lat.
--.-
22~·.
2234°·
35.2.~
3O.M
31. 47 32.39 33.32 34.24 35.17 36.10 37.02 37.96 38.87 39.80
4O.i2
41.65 42.57 43.50 44.43 45.35 46.28
24
25 26 27 28 29 30
31 32 33 34 35 36 37
- - - - - - - - - - --- --- - - - - - - - - - - 11
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
~
.3 ~
68·.
67",40.
II 52
13iJ1°.
Dep. I
I
I
Lat.
6734··
8
~"
A
TABLE 4.-TRAVERSE fABLE.
~
~
22·.
..
S
I I
I
22~·.
22~·.
tl
0;-
S-
Dep. Lat. Dep. Lat. Dep. Lat. Lat. Dep. 16" - - - - - - - - - - - - - !- - - - - - - - --- - -
"!" (')
47.29 48.21 49.14 50.07 51.00 51. 92 52.85 53.78 54.70 55.63
19.10 19.48 19.85 20.23 20.60 20.08 21.35 21. 73 22.10 22.48
47.20 48.13 49.05 49.98 50.90 51.83 52.76 53.68 54.61 55.53
19.31 19.69 20.07 20.45 20.83 21.20 21.58 21. 96 22.34 22.72
47.12 48.04 48.97 49.89 50.81 51. 74 62.66 53.59 54.51 55.43
19.52 19.90 20.28 20.66 21. 05 21. 43 21. 81 22.20 22.58 22.96
47.03 47.95 48.88 40.80 50.72 51.64 62.57 53.49 54.41 65.33
19.72 20.11 20.50 20.88 21. 27 21. 66 22.04 22.43 22.82 23.20
51 52 53 54 65 56 57 58 69 60
22.85 23.23 23.60 23.n7 24.35 24.12 25.10 25.47 25.8.5 26.22
56.46 57.38 58.31 59.23 60.16 61.09 62.01 62.M 63.86 64.79
23.10 23.48 23.85 24.23 24.61 24.99 25.37 25.75 26.13 26.51
56.36 57.28 58.20 59.13 60.05 60.98 61.90 62.82 63.75 64.67
23.34 23.73 24.11 24.49 24.87 25.2ti 25.64 26.02 26.41 26.79
56.25 57.18 58.10 69.02
67 68 69 70
56.56 57.49 58.41 59.34 60.27 61.19 62.12 63.05 63.98 64.90
60.87 61.79 62.71 63.63 64.65
23.59 23.98 24.36 24.75 25.14 25.52 25. 91 26.30 26.68 27.07
61 62 63 64 .65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
65.83 66.76 67.68 68.61 69.54 70.47 71.39 72.32 73.25 74.17
26.60 26.07 27.35 27.72 28.10 28.47 28.84 29.22 29.59 29.97
65.71 66.64 67.56 68.49 f\9.42 70.34 71.27 72.19 73.12 74.04
26.88 27.26 27.64 28.02 28.40 28.78 29.16 29.53 29.91 30.29
65.60 66.52 67.44 68.37 6ll.29 70.21 71.14 72.00 72.99 73.91
27.17 27.55 27.94 28.32 28.70 29.08 29.47 29.85 30.23 30.61
65.48 66.40 67.32 68.24 69.17 70.09 71. 01 71. 93 72.85 73.78
27.46 27.84 28.23 28.62 29.00 29.39 29.78 30.16 30.55 30.94
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 IlO
75.10 76.03 76.96 77.88 78.81 79.74 80.66 81.59 82.52 83.45
30.34 30.72 31.09 31. 47 31.84 32.22 32.59 32.97 33.34 33.71
74.97 75.89 76.82 77.75 78.67 79.60 80.52 81.45 82.37 83.30
30.67 31.05 31. 43 31.81 32.19 32.56 32.94 33.32 33.70 34.08
74.83 75.76 76.H8 77. 61 78.53 79.45 80.38 81.30 82.23 83.15
31.00 31.38 31. 76 32.15 32.53 32.91 33.29 33.68 34.00 34.44
74.70 75.62 76.54 77.46 78.39 79.31 80.23 81.1.';' 82.08 83.00
31. 32 31. 71 32.10 32.48 32.87 33.26 33.64 34.03 34.42 34.80
81 82 83 84 85 I 86 87 88 80 90
91 92 93 94 95 96 97 98 09 100
84.37 85.30 86.23 87.16 88.08 89.01 89.!l4 90.86 91. 79 02.72
34.09 34.46 34.84 35.21 35.59 35.96 36.34 36.71 37.09 37.46
84.22 85.15 86.08 87.00 87.93 88.85 89.78 90.70 91.63 92.55
34.46 34.84 35.21 35.59 35.97 36.35 36.73 37.11 37.49 37.86
84.07 85.00 85.92 86.84 87. i7 88.fl9 89.62 90.54 91.46 92.39
34.82 35.21
83.n2 84.84 85.76 86.[,9 87.(il 88.53 89.45 90.38 91. 30 92.22
35.19 35.58 35.96 36.35 36.74 37.12 37.51 37.90 38.28 38.67
51 52 53 54 65
SO
57 58 59 60 61 62 63 64 65 66
35.fi9
35.07 36.35 36.74 37.12 37.50 37.89 38.27
09.94
91 92 93 94 95 96 97 98 99 100
- - --- - - - --- - - - --- - - - - - - - - - - ~
!
~
Dep. 68·.
Lat.
Dep.
II
Lat.
6m··
Dep.
Lat.
Dep.
Lat.
~
"os
I
67~·.
67~·.
&
TABLE ,I.-TRAVERSE TABLi. t:t
II
1314··
23'.
10 ~
23~·.
I I
t:t
23~·.
10
'" Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 16~ l" - - - - - - - - - - - - - - - - - I- - - - - - <".l
I 2 3 4 5 6 7 8 9 10
0.92 1.84 2.76 3.68 4.60 5.52 6.44 7.36 8.28 9.21
0. 39 0.78 1.17 1.56 1. 95 2.34 2.74 3.13 3.52 3.91
0.92 1.84 2.76 3.68 4.59 5.51 6.43 7.35 8.27 9.19
0.39 0.79 1.18 1.58 1. 97 2.37 2.76 3.16 3.55 3.95
0.92 1.83 2.75 3.67 4.59 5.50 6.42 7.34 8.25 9.17
0.40 0.80 1.20 1.59 1.99 2.39 2.79 3.19 3.59 3.99
0.92 1.83 2.75 3.66 4.58 5. 49 6.41 7.32 8.24 0.15
0.40 0.81 1.21 1.61 2.01 2.42 2.82 3.22 3.62 4.03
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15
10.13 11. 97 12.89 13.81 14.73 15.65 16.57 17.49 18.41
4.30 4.69 5.08 5.47 5.86 6.25 6.64 7.03 7.42 7.81
10.11 11.03 11.94 12.86 13.78 14.70 15.62 16.54 17.46 18.38
4.34 4.74 5.13 5.53 5.92 6.32 (i. 71 7.11 7.50 7.89
10.09 11.00 11.92 12.84 13.76 14.67 15.59 It). 51 17.42 18.34
4.39 4.78 5.18 5.58 5.98 6.38 6.78 I 7.18 7.58 7.97
10.07 10.98 11. 90 12.81 13.73 14.64 15.50 16.48 17.39 18.31
4.43 4.83 5.24 6.64 6.04 6.44 6.85 7.25 7.65 8.05
12 13 14 15 16 17 18 19 20
19.33 20.25 21.17 22.09 23. 01 23. 93 24.85 25.77 26.69 27.62
8.21 8.60 8.99 9.38 9.77 10.16 10.55 10.94 11.33 11.72
19.29 20.21 21.13 22.05 22.97 23.89 24.81 25.73 26.64 27.56
8.29 8.68 9.08 9.47 9.87 10.26 10.66 11.05 11.45 11.84
19.26 20.18 21.09 22.01 22.93 23.84 24.76 25.68 2(i.59 27.51
8.37 8.77 9.17 9.57 9.97 10.37 10.77 11.16 11.56 11.00
19.22 20.14 21.05 21.97 22.88 23.80 24.71 25.63 26.54 27.46
8.46 8.86 9.26 9.67 10.07 10.47 10.87 11.28 11.68 12.08
34.98 35.90 36.82
12.11 12.50 12.89 13.28 13.68 14.07 14.46 14.85 15.24 15.m
28.48 29.40 30.32 31. 24 32.16 33.08 34.00 34.91 35.83 36.75
12.24 12.63 13.0.1 13.42 13.82 14.21 14.61 15.00 15.40 15.79
28.43 29.35 30.26 31.18 32.10 33.01 33.93 34.85 35.77 36.68
12.36 12.76 13. In 13.51; 13.9(, 14 35 14.75 15.15 15.55 15.95
28.37 29.29 30.21 31.12 32.04 32.95 33.87 34.78 35.70 36. 61
12.49 12.89 13.29 13.(;9 14.10 14.50 14.90 15.30 15.71 16.11
31 32 33 34 35 36 37 38 39
37.74 38.(;(; 39.58 40.50 41. 42 42.34 43.26 44.18 45.10 46.03
16.02 lH.41 1t>.80 17.19 17.58 17.97 18.3(; 18.76 19.1.'; 10.54
37.67 a8.59 39.51 40.43 41.35 42.2f> 43.18 44.10 45.02 45.94
16.18 16.58 16.97 17.37 17.76 18.16 ' 18.55 18.95 19.34 19.74
37.60 38.52 39.43 40.35 41. 27 42.18 43.10 44.02 44.94 45.85
16.35 16.7f> 17.15 17.54 17.94 18.34 18.74 19.14 19.54 19.94
37.53 38.44 39.36 40.27 41.19 42. JO 43.02 43.93 44.85 45. 77
16.51 16.92 17.32 17.72 18.12 18.53 18. 93 19.33 19.73 20.14
41 42 43 44 45 46 47 48 49 50
11.05
It.
17 18 19 20 21 22 23 24 25 26 27 2l!
29 30 31 32 33 34 35 3(; 37 38 39 40 41 42 43 44 45 4f)
47 48 49 50
1
28.54 29.46 30.38 :11.30 32.22 3.1.1·' 34.W
1
I
11
21 22 23 24 25 26 27
28 29 30
40
- - - - - - - - - - - - - - - - - - - - - --- - ~
li II
A
Dep.
Lat. 67·.
Dep.
Lat. ~
..
Dep.
I
Lat.
~
..
Dep.
Lat. ~
..
...,
<>
iA
TA.BLE 4.-TBA.VEBSE TA.BLE. t;:j
!O
23 0•
I
J
23~0.
~o.
I
23~0.
~
!O
S-
Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. ~ - - - - - - - - - --- - - - - - - --- --- - 51 52 1>3 54 55 66 67 58 69 60
46.95 47.87 48.79 49.71 60.63 M.55 52.47 53.39 54.31 55.23
19.93 20.32 20.71 21.10 21. 49 21.88 22.27 22.66 23.05 23.44
46.86 47.78 48.70 49.61 60.53 61. 45 52.37 53.29 54.21 55.13
20.13 20.53 20.92 21.32 21. 71 22.11 22.00 22.90 23.29 23.68
46.77 47.69 48.60 49.52 00.44 51.36 52.27 53.19 54.11 66.02
20.34 20.73 21.13 21.53 21.93 22.33 22.73 23.13 23.53 23.92
46.68 47.60 48.51 49.43 60.34 61.26 52.17 53.09 54.00 54.92
20.54 20.94 21.35 21.75 22.15 22.55 22.96 23.36 23.76 24.16
61 52 53 54 55
61 62 63 64 G5 66 67 fl8
66.15 67.07 57.00 58.91 50.83 60.75 61.67
69
63.51 64.44
66.05 66.97 57.88 58.80 50.72 60.64 61.56 62.48 63.40 64.32
24.08 24.47 24.87 26.26 26.00 26.05 26.45 26.84 27.24 27.63
55.94 66.86 57.77 58.00 59.61 60.53 61.44 62.36 63.28 64.19
24.32 24.72 26.12 26.52 26.92 26.32 26.72 27.11 27.6\ 27.91
66.83 56.75 57.66
70
23.83 24.23 24.62 26.01 26.40 25.79 26.18 26.57 26.96 27.35
24.57 24.97 25.37 26.78 26.18 26.58 26.98 27.39 27.79 28.19
61 62 1i3 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
65.36 27.74 66.28 28.13 67.20 28.52 68.12 28.91 29.30 00.04 29.70 00.96 70.88 . 30.09 71.80 30.48 72.72 30.87 13.64 31. 2tI
$Il.23 66. Iii 67.07 67.00 68.91 60.83 70.75 71. 67 72.58 13.00
28.03 28.42 28.82 29.21 29.61 30.00 30.40 30.79 31.18
28.31 28. 71 29.11 29.61 29.91 30.30 30.70 31. 10 31.00 31.90
70.48 71.39 72.31 13.22
28.60 29.00 29.40 29.80 30.21 30.61 31.01 31.n 31.82 32.22
71 72 73
31.68
66.11 66.03 66.95 67.86 68.78 09.70 70.61 71. 53 72.45 73.36
75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
74.66 75.48 76. 40 77.32 78.24 79.16 80.08 81.00 81.92 82.85
31. fI5 32.04 32.43 32.82 33.21 33.00 33.00 34.38 34.78 35.17
74.42 75.34 76.26 77.18 78.10 79.02 79.93 80.85 81. 77 82.69
31.97 32.37 32.76 33.16 33.55 33.95 34.34 34.74 35.13 35.53
74.28 75.20 76.12 77.03 77.95 7R.87 79.78 80.70 81. 62 82.54
32.30 32.70 33.10 33.49 33.89 34.29 34.00 35.09 35.49 35.89
74.14 75.00 75.97 76.89 77.80 78.72 79.63 80.55 81. 4r. 82.38
32.62 33.03 33.43 33.83 34.23 34.64 35.04 35.44 35.84 38.26
81 82 83 84 85 80 87 88 89 90
91 92 93 94 95 00 97 9R 00
83.77 84.69 85.fl1 86.53 87.46 88.37 89.29 90.21 91. 13 92.05
35.66 35.95 36.34 36.73 1fT. 12 1fT. 51 1fT. 90 38.29 38.68 39.07
83.61 84.53 85.45 86.37 87.29 88.20 89.12 90.04 90.96 91.88 .
35.92 38.32 38.71 1fT. It 37.60
36.29 38.68
83.29 84.21 85.12
36.66
39.08 39.47
83.45 84. 1fT 85.29 86.20 87.12 88.04 88.95 89.87 90.79 91.71
38.28 38.68 39.08 211.48 29.87
91 92 93 94 96 00 97 98 99 100
Lat.
Dep.
Lat.
100
62.59
~
is
Lat.
Dep. 67 0•
38.211
38.6~
59.60 60.41 61.33 02.24 63.16 64.07 64.00 66.00 66.82 (;1.73 68.66
00.66
1fT. 08 1fT. 48 1fT. 88
86.04 86.95
1fT. 05 1fT. 46 1fT. 80
87.87 88.79 89.70 90.62 91.53
38.26 38.66 39.07 39.47 39.87 40.27
Dep.
Lat.
67 58 69 60
74
- - - - - - - --- - - - - -.;-
- - --- - ~ CI
1fT. 90
68.68
56
I Dep. II
OOW.
I
;
"CI
~
66~0.
...... I
06~0.
-S
TA.BLE 4.-TRA.VBBSB TABLI. t:I 1.0
J
24°.
Dep.
Lat.
24~0.
24)4°.
Lat.
Dep.
Lat.
- - - - --- - - - - - - - - 0.41 0.81 1.22 1.63 2.03 2.44 2.85 3.25 3.66 4.07
0.91 1.82 2.74 3.65 4.56 5. 47 6.38 7.29 8. 21 9.12
0.41 0.82 1.23 1.64 2.05 2.46 2.88 3.29 3.70 4.11
0.91 1.82 2.73 3.64 4.55 5.46 6.37 7.28 8.19 9.10
4. 47 4.88 5.69 6.10 6.51 6.91 7.32 7.73 8.13
10.03 10.94 11.8.5 12.76 13.68 14.59 15.m 16.41 17.32 18. 24
4.52 4.93 5.34 5.75 6.16 6.57 6.98 7.39 7.80 8. 21
10.01 10.92 11.83 12.74 13.65 14.56 15. 47 16.38 17.29 18. 20
27 28 29 30
19.18 20.10 21.01 21. 93 22.84 23.75 24.67 25.58 26.49 27.41
8.54 8.95 9.35, 9.76 10.17 10.58 10.98 11.39 n.so 12.20
19.15 20.06 20.97 21. 88 22. 79 23.71 24.62 25. 53 26.44 27.35
8.63 9.04 9.45 9.86 10.27 10.68 11.09 11.50 11.91 12.32
19.11 20.02 20.93 21.84 22. 75 23.66 24.57 25.48 26.39 27.30
31 32 33 34 35 36 37 38 39 40
28.32 29.23 30.15 31. 06 31.97 32.89 33.80 34.71 35.63 36.54
12.61 13.02 13.42 13.83 14.24 14.64 15.05 15.46 15.86 16.27
28.26 29.18 30.09 31.00 31.91 32.82 33. 74 34.65 35.56 36.47
12.73 13.14 13.55 13.96 U.38 14.79 15.20 15.61 16.02 16.43
28. 21 29.12 30. 03 30.94 31.85 32.76 33.67 34.58 35.49 36.40
41 42 43 44 45 46 47 48 49 50 ,-
37.46 38.37 39.28 40.20 41.11 42.02 42.94
16.68 17.08 17.49 I 17.90 I 18.30 18.71 19.12 19.52 19.93 20.34
37.38 38.29 39.21 40.12 41. 03 41. 94 42.85 43.76 44.68 45. .>9
16.84 17.25 17.66 18.07 18. 48 18.89 19.30 19.71 20.13 20.54
37.31 38.22 39.13 4G.04 40.95 41.86 42.77 43.68 44.59 45.50
I 2 3 4 5 6 7 8 9
10
0.91 1.83 2.74 3.65 4.57 5. 48 6.39 7.31 8.22 9.14
11 12 13 14 15 16 17 18 19 20
10.05 10.96 11.88 12.79 13.70 H.62 15.5.1 16.44 17.36 18. 27
21 22 23 24 25 26 :
I
j
43.85
44.76 45.68
5.2\!
t:I
24~0.
Dep.
Lat.
~I~ 0.83 1.82
g
Dep.
~
--- -0.42 0.84 1.26 1.67 2.09 2.51 2.93 3.35 3.77 4.19
1 2 3 4 5 6 7 8 9 10
18.16
4.61 5.02 5.44 5.86 6.28 6.70 7.12 7.54 7.95 8.37
11 12 13 14 15 16 17 18 19 20
19.07 8.71 9.12 19.98 20.89 9.54 21. 80 9.95 10. 37 . 22.70 10.78 ' 23.61 n.20 I 24.52 11. 61 25. 43 12.03 26.34 27.24 12.44
8. 79 9.21 9.63 10.05 10.47 10.89 11.30 11.72 12.14 12.L6
21 22 23 24
12.86 13.27 13.68
12.98 13.40 13.82 14.23 14.65 15.07 15. 49 15.91 16. 33 HI. 75
31
14.51 14.93 15.34 15.76 16.17 16. .>9
28.15 29.06 29.97 30.88 31. 79 32.69 33.60 34.51 35.42 36.33
33 34 35 36 87 38 39 40
17.00 17.42 17.83 . 18.25 I 18. 66 19.08 19.49 19.91 20.32 20.73
37.23 38.14 39.05 39.96 40.87 41.77 42.68 43. .>9 44.50 45. 41
17.17 17.58 18. 00 18. 42 18.84 19.26 19.68 20.10 20.51 20.93
41 42 43 44 45 46 47 48 49 : 50
24 1.66 1. 1 2.07 2.49 2.90 ' 3.32 3.73 4.15
2.72 3.63 4.54 5.45 6.36 7.27 8.17 9.08
4.56 4.98 5.39 . 5.81 I 6.22 . 6.64 I 7.05 7.4fi 7.88 8.29
9.99 10.90 11.81 12.71 13.62
14.10
14.53 15.44 111-.35
17.25
25 26
27 28 29 30
32
I- - - - - - - - - - - - - - - - -Dep·l~ I Dep. Lat. Dep. Lat. Dep. Lat. I
66°,
i
~
•.
65~0.
56
tl5J4 0.
J
is
~~.!b~~it''f..-TRAVER8E TABLt.:. t::1 In
24~0.
24'.
24~0.
241,40.
!0t:l
li
Lat.
IH 62 63 64 65 56 57 68 69
46.59 47.60 48.42 49.33 60.26 51.16 62. rJ1 62.99 63.90 114.81
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
t:I In
J
- - - - - --- --- - - - - - - - - - - - - - - - - 20.74 21.15 21.56 21.96 22.78 23.18 23.59 24.00 24.40
46.60 47.41 48.32 49.24 60.16 61.06 61.97 62.88 53.79 64.71
20.95 21.36 21. 77 22.18 22.59 23.00 23.41 23.82 24.23 24.64
46.41 47.32 48.23 49.14 60.05 60.96 51.87 62.78 63.69 64.60
21.15 21.56 21.98 22.39 22.81 23.22 23.64 24.05 24.47 24.88
46.32 47.22 48.13 49.04 49.95 60.86 61. 76 62.67 63.68 114.49
21.35 21.77 22.19 22.61 23.03 23.44 23.86 24.28 24.70
26.12
IH 62 63 64 65 56 67 68' 69 60
24.81 25.22 25.62 26.03 26.44 26.84 27.26 27.66 28.06 28.47
65.62 56.53 57.44 68.35 69.26 60.18 61.09 62.00 62.91 63.82
25.05 25.46 26.88 26.29 26.70 27.11 27.52 27.93 28.34 28.75
65.51 56.42 57.33 118.24 69.15 60.06 60.97 61.88 62.79 63.70
25.30 26.71 26.13 26.54 26.96 27.37 27.78 28.20 28.61 29.03
65.40
67 68 69 70
65.73 56.64 57.65 118.47 69.38 60.29 61.21 62.12 63.03 63.95
56.30 67.21 68.12 69.03 69.94 60.85 61. 76
25.54 25.96 2&.38 26.79 27.21 27.63 28.05 28.47 28.89 28.31
61 62 63 64 65 66 67 ' 68 69 70
71 72 73 74 75 76 77 78 79 80
64.86 65.78 66.69 67.60 68.52 69.43 70.34 71.26 72.17 73.08
28.88 29.29 29.69 30.10 30.51 30.91 31.32 31.73 32.13 32.54
64.74 65.65 66.56 67.47 68. "38 69.29 70.21 71.12 72.03 72.94
29.16 29.57 29.98 30.39 30.80 31. 21 31. 63 32.04 32.45 32.86
64.61 65.52 67.34 68.26 69.16 70.07 70.98 71.89 72.80
29.44 29.86 30.27 30.69 31.10 31.52 31.93 32.35 32.76 33.18
64.48 65.39 66.29 67.20 68.11 69.02 69.93 70.84 71.74 72.65
29.72 30.14 30.56 30.98 31. 40 31.82 32.24 32.66
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
74.00 74.91 75.82 76.74 77.65 78.56 79.48 80.39 81.31 82.22
32.95 33.35 33.76 34.17 34.57 34.98 35.39 35.79 36.20 36.61
73.85 74.76 75.68 76.69 77.60 78.41 79.32 80.24 81.15 82.06
33.27 33.68 34.09 34.50 34.91 35.32 35.73 36.14 36.55 36.96
73.71 74.62 75.63 76.44 77.35 78.26 79.17 80.08 80.99 81.90
33.59 34.00 34.42 34.83 35.26 35.66 36.08 36.49 36.91 37.32
73.56 74.47 75.38 76.28 77.19 78.10 79.01 79.92 80.82 81.73
33.91 34.33 34.75 35.17 35.59 36.00 36.42 36.84
91 92 93 94 95 96 97 98 99
83.13 84.05 84.96 85.87 86.79 87.70 88.61 89.53 90.44 91.35
37.01 37.42 87.83 38.23 38.64 39.05 39.45 39.86
37.38
39.40
41.05 41.47
82.64 83.55 84.46 85.37 86.27 87.18 88.09 89.00 89.91 90.81
38.10 38.52 38.94 39.35 89.77
40.26 40.66 41.rJ1
82.81 83.72 84.63 85.54 86.45 87.36 88.27 89.18 90.09 91.00
:n.74
40.27 40.67
82.97 83.88 84.79 85.71 86.62 87.63 88.44 89.35 90.26 91.18
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
60 61 62 63 64 65
66
100
22.:n
:n.79 38.20 38.61 39.02 39.43 39.84
66.43
38.15 38.57 38.98
39.81
40.23 40.64
62.66 63.67
33.rJ1
33.49
:n.26 :n.68
40.19
40.61 41.03 41.45 41.87
81 82 83 84 85 86 87 : 88 89 90 91 92 93 94 95 96 97 98 99 100
- - - - - - - - --- --- --- --- - - - - - - -Ii
I
Dep.
Ii
j 66'.
65'4 0•
fl63-i 0•
57
65~0.
~,
Q:
TABLE 4.-TBAVERSE TABLE. t:l
',.,"
25°.
t:I
!"
Lat.
Dep.
Lat.
Dep.
!" Lat.
- - --- - - - - - - - - -
Dep.
'"
!"
0.43 0.87 1.30 1.74 2.17 2.61 3.04 3.48 3.91 4.34
1 2 3 4 5 6 7 8 9 10
9.93 10.83 11.73 12.64 13.M
18.05
4.74 5.17 5.60 6. 0.1 6.46 6.89 7.32 7.75 8.18 8.61
9.91 10.81 11.71 12.61 13.51 14.41 15.31 16.21 17.11 18.01
4. 78 5.21 5.65 6.08 6.52 6.95 7.39 7.82 8.25 8.69
11 12 13 14 15 16 17 18 19 20
18.95 19.86 20.76 21. 66 22.56 23.47 24.37 25.27 26.17 27.08
9.04 9.47 9.90 10.33 ·10.76 11.19 11.62 12.05 12.48 12.92
18.91 19.82 20.72 21.62 22.52 23.42 21.32 25.22 26.12 27.02
9.12 9.56 9.99 10.43 10.86 11.30 11.73 12.16 12.60 13.03
21 22 23 24 25 26 27 28 29 30
13.22 13.65 14.08 14.50 14.93 15.36 15.78 16. 21 16. 64 17.06
27.98 28.88 39.79 30.69 31.59 32.49 3.1.40 34.30 35.20 36.10
13.35 13.78 14.21 14.64 15.07 15.50 15.93 16.30 16.79 17.22
27.92 28.82 29.72 30.62 31. 52 32.43 33.33 34.23 35.13 36. 03
13.47 13.90 14.34 14.77 15.21 15.64 16.07 16.51 16.94 17.38
31 32 33 34 35
17.49 17.92 18. 34 18.77 19.20 19.62 20.05 20.48 20.90 21.33
37.01 37.91 38.81 39.71 40.62 41.52 42.42 43.32 44.23 45.13
17.65 18.08 18.51 18.94 19.37 19.80 20.23 20.H6 21.10 21. 53
36.93 37.83 38.73 39.63 40.53 41. 43 42.33 43.23 44.13 45.03
17.81 18. 25 18. 68 19.12 19.55 19.98 20.42
0.90 1. 81 2.71 3. 62 4.52 6.43 6.33 7.24 8.14 9.04
11 12 13 14 15 16 17 18 19 20
9.97 10.88 11.78 12. 69 13.59 14.50 15.41 16.31 17.22 18.13
4.65 5. 07 5. 49 5. 92 6. 34 6. 76 7.18 7.61 8.03 8.45
9.95 10.85 11.76 12.66 13.57 14.47 15. 38 16.28 17.18 18.09
4.69 5.12 5.55 6.97 6.40 6.83 7.25 7.68 8.10 8.53
21 22 23 24 25 26 27
19.03 19.94 20.8.5 21.75 22.66 23.56 24.47 25.38 26.28 27.19
8.87 9.30 9.72 10.14 10.57 10.99 11.41 11.83 12.26 12.68
18. 99 19.90 20.80 21. 71 22.61 23.52 24.42 25.32 26.23 27.13
8.96 9.38 9.81 10.24 10.66 11.09 11.52 11.94 12.37 12.80
36 37 38 39 40
28.10 29.00 29.91 30.81 31.72 32.63 33.53 34.44 36.35 36.25
13.10 13.52 13.95 14.37 14.79 15.21 15. fA 16.00 16.48 16.00
28.04 28.94 29.8.5 30.75 31. 66 32.56 33.46 34.37 35.27 36.18
41 42 43 44 45 46 47 48 49 50
37.16 38.00 38.97 39.88 40.78 41. 69 42. (jQ 43.50 44.41 45.32
17.33 17.75 18.17 18. (jQ 19.02 19.44 19.86 20.29 20.71 21.13
37.08 37.99 38.89 39.80 40.70 41. 60 42.51 43.41 44.32 45.22
35
Lat.
-- -- -0.90 1.80 2.70 3.60 4.50 5.40 6.30 7.21 8.11 9.01
0.42 0.8.5 1.27 1.69 2.11 2.54 2.96 3.38 3.80 4.23
31 32 33 34
Dep.
._0.43 0.80 1.29 1. 72 2.15 2.58 3.01 3.44 3.87 4.31
0.91 1.81 2.72 3.63 4.53 6. 44 6.34 7.25 8.16 9.06
28
'" g
0.90 1.81 2.71 3.61 4.51 5.42 6.32 7.22 8.12 9.03
I 2 3 4 5 6 7 8 9 10
29 30
i
t:l
~o.
257!i°.
2574".
1
r;
0.43 0.8.5 1.28, 1.71. 2.13 I 2.56 i 2.99 3.41 3.84 4.27
14.44 15. 34 16.25 17.15
2O.~5
21. 29 21.72
36
37 38 39 40 41 42 43
44
45 46
47 48 49 50
- - - - - - - - - - - - - - - - - - - - - --- - -
8
Dep.
Lat.
Dep.
Dep.
Lat.
Lat.
Dep.
j
.l!/
A
65°.
~o.
I 58
647!i°.
~
Lat.
..
j A
TABLR 4.-TBAVERSE TABLB.
,. t:1
26°.
I
g
~o.
205).1°.
__ II.
~o.
,. t:1
J
~
Lat.
51 52 53 64 55 56 67 58 59 60
46.22 47.13 48.03 48.94 49.85 50.75 51.66 52.57 53.47 54.38
21.56 21.98 22.40 22.82 23.24 23.67 24.09 24.51 24.93 26.36
46.13 47.03 47.94 48.84 49.75 50.66 51.55 52.46 53.36 64.27
21.76 22.18 22.61 23.03 23.46 23.89 24.31 24.74 205.17 205.59
46.03 46.93 47.84 48.74 49.64 50.64 51. 45 52.35 53.205 64.16
21.96 22.39 22.82 23.205 23.68 24.11 24.64 24.97 26.40 26.83
45.94 46.84 47.74 48.64 49.64 50.44 51.34 52.24 53.14 64.04
22.16 22.69 23.03 23.46 23.89 24.33 24.76 26.20 205.63 26.fJ7
61 62 63 64 66 66 67 68 69 70
55.28 56.19 57.10 58.00 58.91 50.82 60.72 61.63 62.64 63.44
26.78 26.20 26.62 27.05 27.47 27.89 28.32 28.74 29.16 29.58
55.17 56.08 56.98 57.89 58.79 59.69
26.02 26.45 26.87 27.30 27.73 28.15 28.58 29.01 29.43 29.86
55.06 55.96 56.86 67.77 58.67 59.57 60.47 61.38 62.28 63.18
211.26 27.12 27.55 27.98 28.41 28.84 29.27 29.71 30.14
64.94 66.84 56.74 67.64 58.55 59.45 60.35 61.205 62.15 63.05
26.50 26.94 27.37 27.80 28.24 28.67 29.11 29.64 29.98 30.41
71 72 73 74 75 76 77 78 79 80
64.35 65.205 66.16 67.07 67.97 68.88 69.79 70.69 71.60 72.60
30.01 30.43 30.85 31.27 31. 70 32.12 32.54 32.96 33.39 33.81
64.22 65.12 66.03 66.9:1 ()7.83 68.74 70.55 71.45 72. 36
30.29 30.71 31.14 31.57 31.99 32.42 32.85 33.27 33.70 34.13
64.08 64.99 65.89 66.79 67.69 68.60 69.50 70.40 71. 30 72.21
30.67 31.00 31. 43 31.8fi 32.2IJ 32.72 33.15 33.58 34. 01 34.44
63.95 64.85 65.75 66.65 67.55 68.45 69.35 70.205 71.16 72.06
30.85 31.28 31.71 32.15 32.58 33.02 33.45 33.89 34.32 34.76
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
73.41 74. 32 75.22 76.13 77.04 77.94 78.85 79.76 80.66 81.57
34.23 34.65 35.08 35.60 35.92 36.35 36.77 37.19 37.fil 38.04
73.26 74.17 75.07 75.97 76.88 77.78 78.69 79.59 80.50 81.40
34.55 34.98 35.41 35.83 , 36.26 36.68 37.11 37.64 37.96 38.39
73.11 74.01 74.91 75.82 76.72 77.62 78.52 79.4.3 80.33 81.23
34. 87 35.30 35.73 36.16 36.59 37.62 37.45 37.88 38.32 38.75
72.96 73.86 74.76 75.66 76.56 77.46 78.36 79.26 80.16 81.06
35.19 35.62 36.00 36.49 36.93 37.36 37.80 38.23 38. 67 3i.1O
81 82 83 84 85 1<6. 87 88 89 90
91
82.47 83.38 84.29 85.19 86.10 87.01 87.91 88.82 89.72 90.63
38.46 38.88 39.30 39.73 40.15 40.57 40.99 41.42 41.84 42.26
82.31 83.21 84.11 85.02 85.92 86.83 87.73 88.64 89.54 90.45
38.82 39.24 39.67 40.10 40.52 40.95 41.38 41.80 42.23 42.66
82.14 83.04 83.94 84.84 85.75 86. r.s 87.55 88.45 89.36 90.26
39.18 39.61 40.04 40.47 40.90 41.33 41.76 42.19 : 42. 62 1 48.05 ,
81.96 82.86 83.76 84.67 85.57 86.47
3i.53 39.97 40.40 40.84 41. 27 41.71 42.14 42.58 43.01 43.44
Dep.
Lat.
Dep.
Lat.
Lat.
Dep.
Dep.
- - - - - --- --- - - - --- - - - --- - - - --
92 93 94 95 96 97 98 99 100
60.60 61.50 62.41 63.31
69.64
26.69
'i!J.37
88.27 89.17 9O.fJ7
61 52 53 64 66 56 67 58 69
00 61
62 63 64 65 66 67 68 69 70
91
92 93 94 95 96 97 98 99 100
- - --- - - - --- - - - --- ---I - - - - - 8 Dep. Lat. Dep. Lat. Dep. Lat. I Dep. Lat. 8 ~
is
65°.
(IoIlI,40.
~'.
59
1
I
643(0.
!is
II
TABLE •. -TRAVERSE TABLI. 26UO.
26°.
Lat.
Dep.
Lat.
I
26J.<J°.
Lat.
Dep.
Dep.
Lat.
Dep.
I:;!
J
-------- ------ ------ ------1~« ~38
~90
~« ~38
~89
~45 ~89
~89
~45 ~90
6
1.80 2.70 3.60 4.49
~39
1.32 1.75 2.19
2.69 3.59 4.48 ~38
1.33 1.77 2.21
295
2.68 3.58 4.47
1.34 1.78 2.23
2.68 3.57 4.46
L36
1.35 1.80 2.25
2m
7 8 9 10
&29 7.19 8.00 8.99
3.07 3.51 3.95 4.38
&28 7.17 8.07 8.97
3.10 3.54 3.98 4.42
&26 7.16 8.05 8.95
3.D 3.57
&25 7.14 8.04 8.93
3.g 3.60 4.50
7 8 9 10
11
9.89 10.79
4.82 0.26 S.70 6.14 6.58 7.01 7.45 7.89 8.33 8.77
9.87 10.76 11. (j6 12.56 13.45 14.35 IS. 25 16.14 17.04 17.94
4.87 5.31 5.75 6.19
9.84 10.74
4.91 5.35 5.80 6.25
9.82 10.72 11.61 12.50 13.39 14.29 15.18 16.07 16.97 17.86
4.95 0.40 0.85 6.30 6.75 7.20 7. C15 8.10 8.55 9.00
11 12 13 14 15 16 17 18 19 20
9.21
18.83 19.73 20.63 21.52 22.42 23.32 24.22
9.45 9.90 10.35 10.80 11.25
11.94
26.01 26.91
12.38 12.83 13.27
21 2'1 2'J 24 25 26 27 28 29 30
1 2 3 4 5
12 1:1 14 15 16 17 18 19 20 21 22 23 24 25
11.68 12.58 13.48 14.38 15.28 16.18 17.08 17.98
11.40
27.86 28.76
59
13. 14.03
40
30.,,0 31.46 22.36 33.26 34.15 36.05 36.95
14.47 14.90 IS. 34 15.78 16.22 16.6H 17.10 17.53
41 42 43 44 45 46 47 48 49 60
36.85 :fT. 75 38.C,5 39.55 40.45 41.34 42.24 43. 14 44.04 44.94
27 28 29 30
31 32 33 34 35 36 37 38
I.m
263
18.87 19.77 20.67 21.57 22.47 23.37 24.27 25.17 26.07 26.96
26
9.64 10.08 10.52 10.96
11.84 12.27 12.71 13.15
25.11
27.80
I.m
LU
268 ~~
4.46
11.63 12.53 13.42 14.32 15.21
6.63 7.08 7.52 7.96 8.40 8.85
9.29 9. i3 10.17 10.61 11.06 11.50 I
6.69 7.14 7.59
I.m
16.11
8.03
17.00 17.90
8.48 8.92
18.79 19.69 20.58 21.48 22.37 23.27 24.16 25.06 25.95 26.85
9.37 9.82 10.26 10.71 11.15 11.60 12.05 12.49 12.94 13.39
18.75 19.05 20.54 21. 43 22.32 23.22 24.11 25.00 25.90
27.74
13.83 14.28 14.72 15.17 15.62 16.06 16.51 16.96 17.40 17.85
27.68
26.79
~05
11.70
12.15 12.60 13.05 13.50
1 2 3 4
6 6
31.25 32.15 33.04 33.9;1 34.83 35.72
17.10 17.55 18.00
31 32 33 34 35 36 37 38 39 40
36.61 U.51 38.40 39.29 40.18 41.08 41.97 42.86 43.76 44.65
18. 45 18.90 19.35 19.80 20.25 20.70 21.15 21.60 22.05 22.50
41 42 43 44 45 46 47 48 49 60
J ~--;:;- ~--;:;- r~~ ~~
~
~
&
39
:
~90
29.66
64°.
1
28.70 29.60 30.49 31.39 22.29 33.18 34.08 34.08 35.87
36.77
17.97 18.41 18.85
37.1l7 38.57 39.46 40.36 41.26 42.15 43.05 43.95 44.84
19.29 19.73 20.17 20.60 21.04 21.48 21. 92
I
13.71 14.15 14.60 15.04 15.48 10.92 16.36 16.81 17.25 17.69
28.64 29.53 30.43 31.32 32.22
33.11
34.01 34.90
35.80
18.13 18.58 19.~
19.46 19.90 20.35 20.79 21. 23 21. 67 22. 11
631,,°.
I
i
36.69 37.59 38.48 39.38 40.27 41.17 42.06 42.96 43.85 44.75
18.29 18.74 19.19
19.63 20.08 20.53 20.97 21.42 21.86 22.31
63J.<J°.
28.58 29.47 3O.3t;
13.95 14.40 14.85 15.30 15.75 16.20
16.65
roW·
TABLE 4.-TRA. VEasE TABLE.
f
i
26~0.
26°.
t:1
I
2tiI",0.
2672°.
t:1 ;-
Dep. Dep. Dep. Lat. Dep. Lat. Lat. " !i" --- --- - - -I- - - - --- - - - -
li
Lat.
61 62 53 64 55 56 57 58 59 60
45.84 46.74 47. f>4 48.53 49.43 50.33 61.23 62.13 53.03 53.93
22.36 22.80 23.23 23.67 24.11 24.65 24.99 25.43 25.86 26.30
45.74 46.64 47.53 48.43 49.33 50.22 61.12 62.02 52.92 53.81
22.56 23.00 23.44 23.88 24.33 24.77 25.21 25.65 26.10 26.64
45.64 46. 64 47.43 48.33 49.22 50.12 61.01 61. 91 52.80 53.70
22.76 23.20 23.65 24.09 24.64 24.99 25.43 25.88 26.33 26.77
45.64 46.43 47.33 49.11 50.01 50.90 61.79 62.69 53.58
22.00 23.41 23.86 24.31 24.76 25. 21 25.66 26.11 26.56 27.01
61 62 03 64 65 66 67 68 69 70
64.83 55.73 56.62 67.52 58.42 59.32 60.22 61.12 62.02 62.92
26.74 27.18 27.62 28.00 28.49 28.93 29.37 29.81 30.25 30.69
64.71 65.61 66.50 67.40 58.30 59.19 80.09 ro.99 61.88 62.78
26.98 27.42 27.&; 28.31 28.75 29.19 29.63 30.08 30.52 30.96
64.59 65.49 66.38 57.28 58.17 59. en 59.00 60.86 61. 75 62.65
27.22 27.66 28.11 28.56 29.00 29.45 29.90 30.34 30.79 31.23
64.47 65.36 56.26 67.15 58.04 58.94 59.83 60.72 61.62 62.51
27.46 27.91 28.36 28.81 29.26 29.71 30.16 30.61 31.06 31.61
61 62 63
71 72 73 74 75 76 77 78 79 80
6.1.81 64.71 65. til 66.61 67.41 68.31 69.21 70.11 71.00 71.90
31.12 31.66 32.00 32.44 32.88 33.32 33.75 34.19 34.63 35.07
63.68 64.67 65.47 66.37 67.27 68.16 69.06 69.00 70.85 71. 75
63.64 64.44 65.33 66.23 67.12 68.01
63.40 64.29 65.19 66.08
69.80 70.70 71.59
31. 68 32.13 32.57 33.02 33.46 33.91 34.36 34.M 35.25 35.70
67.87 68.76 69. f>5 70.65 71.44
31. 96 32.41 32.86 33.31 33.76 34.21 34.66 35.11 35.56 36.01
71 72 73 74 75 76 77 78 79 80
81 62 83 84 85 R6 87 88 89 90
72.80 73.70 74.60 75.60 76.40 77.30 78.26 79.09 79.99 80.89
35.61 35.95 36.38 36.82 37.2H 37.70 38.14 38.58 39.02 39.45
72.65 73.64 74.44 75.34 76.23 77.13 78.03 78.92 79.82 80.72
31.40 31. 84 32.29 32.73 33.17 33.61 34.06 34.60 34.94 35. 38 1 35.83 36.27 36.71 37.15 37.59 38.04 38.48 38.92 39.36 39.81
72. 49 73.38 74.28 75.17 76.07 76.00 77.86 78.75 79.65 80.64
36.14 36.69 37.03 37.48 37.93 38.37 38.82 39.27 39.71 40.16
72.33 73.2'l 74.12 75. 01 75. 90 76.80 77.69 78.58 79.48 80.37
36.46 36. 91 37.36 37.81 38.26 38.71 39.16 39.01 40.06 40.61
81 82 83 84 85 86 87 88 89 90
91 92 93 94 96 96 97 98 99 100
81.79 82.69 83.59 84.49 85.39 86.28 87.18 88.08 88.98 89.88
39.89 40.33 40.77 41.21 41.65 42. 08 42.62 42.96 43.40 43.84
81. 62 82.61 83.41 84.31 85.26 86.10 87.89 88.79 89.69
40.25 40.fi9 41.13 41.58 42.02 42.46 42.90 43.34 43.79 44.23
81. 44 82.33 83.23 84.12 85.02 85.91 86.81 87.70 88.60 89.49
40.80 41.05 41.60 41.94 42. 39 42.83 43.28 43.73 44.17 44.62
81.26 82.15 83. o.~ 83.94 84.83 85.73 86.62 87.61 89.40 89.36
40.90 41.41 41.86 42. 31 42.76 43. 21 43.ti6 44.11 44.56 45. 01
91 92 93 94 96 00 97 98 99 100
J
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
.;i
----
~7.00
I I
~8.91
4~.22
66.97
61 62 53 64 55
iii> 57 58 59 80
84 65 66 67 68 69 70
- - --- --- - - - - - --- --- - - - --- - Q
64°.
I
I
63~0.
II 61
6372°.
I
63~0.
.!I Q
TABLE 4.-TRAVERSE TABLE. t1
i~
Lat.
- -- - - -
I
Zl~·.
Zlo.
0.89 1. 77 2.66 3.65 4.44 5.32 6.21 7.10 7.98 8.87
0.46 0.92 1.39 1.85 2.31 2.77 3.23 3.69 4.16 4.62
0.88 1. 77 2. ()5 3.54 4.42 5.31 6.19 7.08 7.96 8.85
0.47 0.93 1. 40 1. 86 2.33 2.79 3.26 3.72 4.19 4.66
1 2 3 4 5 6 7 8 9 10
9.76 10.64 !I. 53 12.42 13.31 14.19 15.08 15.97 16.85 17.74
5.08 5.54 6.00 6.46 6.93 7.39 7.85 8.31 8.77 9.23
9.73 10.62 11.50 12.39 14.16 15.04 15.93 HI. 81 17.70
5.12 5.59 6.05 6.62 6.98 7.45 7.92 8.38 8.85 9.31
11 12 13 14 15 16 17 18 19 20
9.62 10.07 10.53 10.99 11.45 11.90 12.36 12.82 13.28 13.74
18.63 19.61 20.40 21. 29 22.18 23.06 23.95 24.84 25.72 26.61
9.70 10.16 10.62 11. 08 11.54 12.01 12.47 12.93 13.39 13.85
18.68 19.47 20.35 21. 24 22.12 23.01 23.89 24.78 25.66 26.65
9.78 10.24 10.71 11.17 11.64 12.11 12.67 13.04 13.50 13.97
21 22 23 24 25 26 28 29 30
14.19 14.65 15.11 15.57 10.03 16.48 16.94 17.40 17.86
Zl.50
Zl.43
30.16 31.05 31.93 32.82 33.71 34.59 35.48
14.31 14.78 15.24 15.70 H;.lo 16.62 17.08 17.55 18. OJ 18.47
28.32 29.20 30.09 30.97 31. 86 32.74 33.63 34.51 35.40
14.43 14.90 15.37 15.8.1 16.30 16.76 17.23 17.69 18.16 18.62
31 32 33 34 35 36 37 38 39 40
36.37 37.25 38.14 39.03 39.92 40.80 41. 69 42.68 43.46 44.35
18.93 19.39 19.86 20.32 20.78 21.24 21.70 22.16 22.63 23.09
36.28 37.17 38.05 38.94 39.82 40.71 41.59 42.48 43.86 44.25
19.09 19.66 20.02 20.49 20.95 21.42 21.88 22.35 22.82 23.28
41 42 43 44 45 46 47 48 49 50
0.46 , 0.92 : 1.37 I 1.83 1 2.29 ; 2.75, 3.21 I 3.66 : 4.12 ' 4.68 '
10
0.89 1. 78 2.67 3.56 4.46 6.35 6.24 7.13 8.02 8.91
0.45 0.91 1.36 1.82 2.27 2.72 3.18 3.63 4.09 4.54
0.89 1.78 2.67 3.56 4.45 5.33 6.22 7.11 8.00 8.89
11 12 13 14 16 16 17 18 19 20
9.80 10.69 11.68 12.47 13.37 14.2!l 15.15 16.04 16.93 17.82
4.99 5.4'; 5.90 6. at; 6.81 7.26 7.72 8.17 8.63 9.08
9.78 10.67 11.56 12.45 13.34 14.22 15.11 16.00 10.89 17.78
6.04 5.49 5.95 6. 41 tl.87 7.33 7.78 8.24 8.70 9.16
21 22 23 24 25
18.71 19.60 20.49 21.38 22.28 23.17 24.06 24.95 25.84
9.53 9.99 10.44 10.90 11.35 11.80 12.26 12.71 13.17 13.62
18.67 19.56 20.45 21.34 22.23 23.11 24.00 24.89 25.78 26.67
Zl.62
Zl.56
28 29 30
26.73
31 32 33 34 36 36 37 38 89 40
28.51 29.40 30.29 31.19 32.08 32.97 33.86 34.75 35.64
14.07 14.53 14.98 15.44 15.89 16.34 16.80 17.25 17.71 18.16
41 42 43 44 45 46 47 48 49 50
36.53 37.42 38.31 89.20 40.10 40.99 41.88 42.77 43.66 44.55
18.61 19.07 19.52 19.98 20.43 20.88 21.34 21.79 22.25 22.70
36.45 37.34 38.23 39.12 40.01 40.89 41.78 42.67 43.56 44.45
18.31 18.77 19.23 19.69 20.15 20.60 21.06 21.52 21.98 22.44 22.89
Lat.
Dep.
Lat.
-- --
Ij
I
28.45 29.34 30.23 31.12 32.00 32.89 33.78 34.67 35.56
I
I I
28.38
29.Zl
I
13. Zl
Zl
- - - - - - - - - - - --- --- - - - - -
Dep.
iA 1 _ - ___
t1
i
"~ Dep. Dep. Lat. Dep. Lat. Dep. Lat. - - --- --- ------ --- ---- -
I 2 3 4 5 6 7 8 9
26 Zl
27'4 0.
Zl~o.
68 0•
Dep.
Lat.
62~0.
6:114··
62
Dep.
Lat.
62~0.
J
..!I
A
TABLE 4.-TBAVEBSE TABLE.
, t:1
Zlo.
10
~
~
I Dep.
Lat.
------
ZlJ;;i;°.
I~
~IDep.
Dep.
28.17 ; 28. 63 1 29.09 29.M 30.01 30.48 30.94 31. 40 31.86 32.32
53.98 54.87 55.75 56.04 57.52 58.41 59.29 60.18 61.06 61.95
28.40 28.87 29.33 29. SO 30.26 30.73 31.20 31.66 32.13 32.59
61 62 63 64 65 66 67 68 69 70
62.98 63.86 64.75 65.64 66.63 67.41 68.30 69.19 70.07 70.96
32.78 33.25 33.71 34.17 34.63 35.09 35.M 36.02 36.48 36.94
62.83 63.72 64.60 65.49 66.61 67.26 68.14 69.03 69.91 70. SO
33.06 33.52 33.99 34.46 34.92 35.39 35.85 36.32 36.78 37.25
71 72 73 74 75 76 77 78 79 SO
37.09 37.M 38.00 38.46 38.92 39.38 39.84 40.29 40.75 41.21
71.85 72.73 73.62 74.51 75.40 76.28 77.17 78.06 78.94 79.83
37.40 61.86 38.33 38 .. 79 39.25 39.71 40.17 40.63 41.10 41. 56 ,
71. 68 72.67 73.45 74.34 75.22 76.11 76.99 77.88 78.76 79.65
61.71 38.18 38.65 39.11 39.58 40.04 40.51 40.97 41.44 41. 91
81 82 83 84 85 86 87 88 89 90
41. 67 42.12 42.58 43.04 48.60 43.96 44.41 44.87 45.33 45.79
SO. 72 81. 60
42.02 42.48 42.94 48.40 43.87 44.33 44.79 45.25 45.71 46.17
SO. 63 81.42 82.30 83.19 84.07 84.96 85.84 86.73 87.61 88.60
42.61 42.84 43.30 43.77 44.23 44.70 45.16 45.63 46.10
91 92 93 94 96 96 '¥l 93 99 100
45.34 46.23 47.12 48.01 48.90 49.78 60.07 51.56 52.45 53.34
23.35 23.81 24.Zl 24.73 25.18
61 62 63 64 65 66 67 68 09 70
M.35 55.24 56.13 57.02 57.92 58.81 59.70 60.59 01. 48 62.37
Zl.69 28.15 28.60 29.06 29.51 29.96 30.42 30.87 31. 33 31. 78
71 72 73 74 75 76 77 78 79 SO
63.26 64.15 65.04 65.93 66.83 67.72 68.61 69.50 70.39 71. 28
81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
I
25.64
26.10 26.56 Zl.OI Zl.47
45.24 46.12 47.01 47.90 48.79 49.07 50.56 51. 45 52.33 53.22
23.55 24.01 24.47 24.93 25.40 25.86 26.32 26.78 Zl.24 Zl.70
64.23 M.12 56.01 56.90 57.79 58.68 69.56 60.45 61.34 62.23
Zl.93 28.39 28.85 29.30 29.76 30.22 30.68 31.14 31.59 32.05
54.11 54.99 55.88 56.77 57.66 58.54 59.43 60.32 61.20 62.09
32.23 32.69 33.14 33.60 34.05 34.50 34.96 35.41 35.87 36.32
63.12 64.01 64.90 65.79 66.68 67.57 68.45 69.34 70.23 71.12
32.51 32.97 33.42 33.88 34.34 34. SO 35.26 35.71 36.17 36.63
72.17 73.06 73.95 74.84 75.74 76.63 77.52 78.41 79.30 SO. 19
36.77 61.23 61.68 38.14 38.59 39.04 39.60 39.95 40.41 40.86
72.01 72.90 73.79 74.68 75.57 76.46 77.34 78.23 79.12 SO. 01
81.08 81. 97 82.86 83.75 84.65 85.54 86.43 87.32 88.21 89.10
41.31 41. 77 42.22 42.68 48.13 43.58 44.04 44.49 44.95 45.40
SO. 90 81.79 82.68 83.67 84.46 85.35 86.23 87.12 88.01 88.90
-----63·.
J 61 52 53 M M 56 57 58 59 60
23.15 23.61 24.06 24.52 24.97 25.42 ·25.88 26.33 26.79 Zl.24
Dep.
10
23.75 24.21 24.68 25.14 25.61 26.07 26.M Zl.Ol Zl.47 Zl.94
45.44 46.33 47.22 48.11 49.01 49.90 60.79 51. 68 52.57 53.46
Dep·l-;::-
Lat. Dep. --1-
t:1
45.13 46.02 46.90 47.79 48.67 49.56 50.44 51.33 52.21 53.10
51 52 53 54 M 56 57 58 59 00
--
273Ao.
ZlJ1°.
82.~9
83.38 84.27 85.15 86.04 86.93 87.81 88.70
1
46.66
------ - - - - -l Dep.
Lat.
Lat.
~o.
~o.
63
Dep.
Lat.
62J;;i;°.
J
TABLE f.-TIU. ValISE TABLE. t::!
i
28 0•
I
II
28~0.
I
28~0.
I
28"-4 0•
t::!
IE
~ Lat. Dep. I Lat. Dep. il Lat. Dep. Lat. Dep. - - ------ - - - - - - I - - - - - - - - - - - 1 2 3 4 5 6 7 8 9 10
0.88 1.77 2.65 3.53 4.41 5.30 6.18 7.06 7.95 8.83
11 12 13 14 15 16 17 18 19 20
9.71 10.60 11.48 12.36 13.24 14.13 15.01 15.89 16.78 17.66
21
0.47 I 0.94 , l.41 1 1.88 2.35 2.82 3.29 ' 3.76, 4.23 , 4.69 :
0.47 . 0.95 ; 1.42: 1.89 2.37 2.84 3.31 3.79 4.26 4.73
0.88 1.76 2.64 3.52 4.40 5.29 6.17 7.05 7.93 8.81
0.88 1. 76 2.64 3.52 4.39 5.27 6.15 7.03 7.91 8.79
J
0.48 0.95 1.43 1.91 2.39 2.86 3.34 3.82 4.29 4.77
0.88 1. 75 2.63 3.51 4.38 5.26 6.14 7.01 7.89 8.77
0.48 0.00 1.44 1.92 2.40 2.89 3.37 3.85 4.33 4.81
1 2 3 f 5 6 7 8 9 10
5.25 5.73 6.68 7.16 7.63 8.11 8.59 9.07 9.64
9.64 10.52 11.40 12.27 13.15 14.03 14.90 15.78 16.66 17.53
5.29 5.77 6.25 6.73 7.21 7.70 8.18 8.66 9.14 9.62
11 12 13 14 15 16 17 18 19 20
23 24 25 26 27
5.21 5.68 6.15 6.63 7.10 7.57 8.05 8.52 8.99 9.47
9.67 10.55 11.42 12.30 13.18 14.06 14.94 15.8"l 16.70 17.68
18.64 19.42 20.31 21.19 22.07 22.00 23.84 24.72 25.61 26.49
7.98 , 8.45 8.92 ' 9.39 i I 9.86 10.33 ; 10.80 I 11.27 11.74 i 12.21 ' 12.68 13.15 13.61 14.08
9.00 10.57 11.45 12.33 13.21 14.09 14.98 15.86 16.74 17.62 18.50 19.38 20.26 21.14 Z2.02 22.90 23.78 24.66 25.55 26.43
9.94 10.41 10.89 11.36 11.83 12.31 12.78 13.25 13.73 14.20
18.40 19.33 20.21 21.09 21.97 22.85 23.73 24.61 25.49 26.36
10.02 10.50 10.97 11. 45 11.93 12.41 12.88 13.36 13.84 14.31
18.41 19.29 20.16 21.04 21.92 22.79 23.67 24.55 25.43 26.30
10.10 10.58 11.06 11.64 12.02 12.51 12.99 13. 47 13.95 14.43
31 32 33 34 35 36 37 38
39 40
27.37 28.25 29.14 30.02 30.90 31. 79 32.67 33.55 34.43 35.32
14.55 15.02 15.49 15.00 16.43 16.90 17.37 17.114 18.31 18.78
27.31 28.19 29.07 29.95 30.83 31. 71 3'l.59 33.47 34.35 35.24
27.24 14.67 28.12 15.16 29.00 15.62 29.88 16.09 30.76 16.57 31.64 04 17.51 17. 1 32.62 33.40 17.99 18.40 34.27 35.15 18.93
14. 79 15.27 15.75 16.22 16.70 17.111 17.65 18.13 18.61 19.09
27.18 28.06 28.93 29.81 30.69 31.56 32.44 33.32 34.19 35.07
14.91 15.39 15.117 16.35 16.83 17.32 17.80 18.28 18.76 19.24
31 32 33 34 35 36 37 38 39
41 42 43 44 46 46 47 48 49 50
36.20 37.08 37.97 38.85 39.73 40.62 41.50 42.38 43.26 f4.15
19.25 19.72 20.19 20.66 21.13 21.60
36.12 37.00 37.88 38.76 ' 39.64 40.52 41. 40 42.28 43.16 f4.04
35.95 36.82 1 37.70 2O.W 1 38.58 21. 47 i 39.4.5 21.95 I 40.33 41.21 22.43 42.08 22.90 42.00 23.38 43.84 23.86
19.72 20.20 20.68 21.16 21. 64 22.13 22.61 23.00 23.57 24.05
41 42 43 44 46 40 47 48 49 50
8
Dep.
22 23 24 25 26 27 28 29
aJ
j
A
5.W 5.63 6.10 6.57
~:gt
22.07 22.53 23.00 23.47
i,
36.03 36.91 37.79 38.67 39.55 40.43 41.30 42.18 43.06 43.94
19.41 19.88 20.35 20.83 21.30 21.77 22.25 22.72 23.19 23.67
6.:lO
19.56 20.04 20.52
21
22
28 29
aJ
40
1 - - - - - - - - - - - -1 Lat. 6:l0•
...
Lo<.
61~0.
~....
.I
Lo<
61~0.
Dep.
Lat.
61~0.
i A
?ABLB
f.-" •• VlISE
28~·.
~'.
28°.
TABU.
La,. Dep. La,. Dep. Lat. Dep. Lat. Dep. --1- ----1- ----------
26.29 26.76 27.23 27.70 28.17
44.93 45.81 46.69 47.57 48.45 411.33 50.21 51.00 51.97 53.85
24.14 24.61 25.00 25.56 28.03 26.51 26.98 27.45
28.64
53.73
51 52 53 M 55 56 57 58 59 60
45.03 45.91 46.80 47.68 48.56 49.45 50.33 51.21 53.00 53.98
23.94 24.41 24.88 25.35
61 82 63
53.86
64 65
66 fI7
~
69 70 71 72 'n 74 75 76
77 78 79 80 81 82
83 84
85 86 87 88 83 90
VI 92
54.74 55.63 56.51 57.39
58.27
5Q.16 60.04 60.92 61.81 Q.69 63.57
64.46 65.34 66.22
67.10 67.99 68.87 69.75
70.64 71.52 72.40 73.28 74.17 75.05
30.99 31.45 31.92 32.39
32.86
54.62 55,50 56. 38 57.26 58.14 5Q.02 5Q.90 60.78 61.66
33.33 33.80 34.27 34.74 35.21 35.68 36.15 36.62 37.00 37.56
62.M
36.03
71.35 72.23 73.11
38.50 38.97
63.42 64.31 65.19 66.07 66.95
67.83
68.71 69.59 70.47
28.87 29.35 29.82 30.29 30.77 31.24 31. 71 32.19 32.66 33.13
53.61 54.49 55.37 56.24 57.12 58.00 58.88 511.76 60.64 61.52
29.11
53.48 M.36 55.23 56.11
2Q.34 29.82 30.30 30.78 31.26 31. 75 32.23 32.71 33.19 33.67
61 62 63 64 65 66 67 68 69 70
33. 61
63.40 63.27 64.15 65.03 65.91 66.79 67.67 68.55
34.15 34.63 35.11 35.59 36.07 36.56 37.04 37.52
71 72 73 74
34.08 34.55 35.03 35.50 35.97 36.45 36.92 37.39 37.87 36.34 38.81 39.29 39.76 40.23 40.71 41.18 41.60 42.13
76.82 77.70 78.58 79.47 8D.35 81.23
43.19
43.72
80.16 81.04 81.92 82.80
43.07
84.57 85.45 86.33 81.21 88.00
45.44
75.113
94 95 116
83.88
1~
29.58 30.05 30.52
28.86
57 58 59 60
27.113
73.99
82.11
G7
29.11
44.71 45.59 46.47 47.34 48.22 49.10 49.97 50.85 51. 73 52.60
2'-53 25.01 25.49 25.97 26.45 26.94 27.42 27.90
28.40
24.34 24.81 25.29 25.77 26.24 26.72 27.20 27.68 28.15 28.63
39.44 39.91 40.37 40.84 41.31 41. 78 42.25
113
98
25.82
83.00
84.76 85.65 86.53 87.41
88.29
43.66 44.13 44.60 45.07 45.54 46.01 46.48 46.95
74.88 75.76 76.64 77.52 78.40 79.28
83.68
51 52 53 54 55
44.82 45.70 46.58 47.46 48.33 411.21 50.00 50.97 51.85 52.73
42.60
43.55 44.02 44.49 44.97 45.91 46.39
46.86 47.33
65
69.43
70.31 71.18 72.06 72.94
73.82
74.70 75.58 76.46 77.34 78.21 79.00
79.97 80.85 81.73 82.61 83.49 84.37 85.25 86.12 81.00
87.88
29.58 30.06
3O.M
31.02 31.49 31.97 32.45 32.92 33.40
56.99
33.88 34.36
63.25 63.12
34.83 35.31 35.79 36.26 36.74 37.22 37.70 38.17
38.65 39.13
39.60
40.08 40.56 41.04 41.51
41.99
42.47 42.94
43.42
57.86 58. 74 59.62 60.49 61.37
64.00 64.88 65.75 66.63 67.51 68.38 69.26 7D.14 71.01 71. 89 72.77 73.65 74.52
~U21
77.15 78.03 78. 91
43.90 44.38
79.78 80.66 81.54
44.85 45.33 45.81 46.28 46.76 47.24 47.72
84.17 85.04 85.92
82.41 83.29
86.80 81.67
28.38
38.00 38.48
38.116 39.44 39.92 40.40 40.88 41.37 41.85 42.3.3 42.81
43.29 43.77
44.25 44.73 45.21 45.89 46.17 46.66 47.14 47.62 48.10
56
75
76 77 78 79 80 81 82
83
84 85 86
87
88 89 90 91 92
113
94
!IS
116 97 98 99 100
TABLE •• -TRA. VERSE TABLE.
t::I
Iii
29 0.
29J4".
I
29~0.
I
~o.
t::I
Iii
~ Dep. I Lat. Dep. Dep. Lat. Dep. Lat. Lat. t !" - ---- --- --- --- --- --- - - - - --
J I 2 3 4 5 6 7 8 9 10
0.87 1. 75 2.62 3.50 4.37 5.25 6.12 7.00 7.87 8.75
11 12 13 14 15 16 17 18 19 20
9.62 10.50 11.37 12.24 13.12 13.99 14.87 15.74 16.62 17.49
21 22 23 24 25 26 27 28
18.37 19.24 20.12 20.99 21.87 22.74 23.61 24.49 25.36 26.24 27.11 27.99 28.86 29.74
29
30 31 32 33 34 35 36 37 38 39 40 41 42
30.61
31.49 32.36 33.24 34.11 34.98
43
36.73 I 35.86 37.61
44 45 46 47 48 49 50
38.48 39.36 40.23 41.11 41. 98 42.86 43.73
0.87 1. 74 2.62 3.49 4.36 5.23 6.11 6.98 7.85 8.72
0.49 0.98 1. 47 1. 95 2.44 2.93 3.42 3.91 4.40 4.89
0.87 1.74 2.61 3.48 4.35 5.22 6.09 6.96 7.83 8.70
0.49 0.98 1.48 1.97 2.46 2.95 3.45 3.94 4.43 4.92
0.87 1. 74 2.60 3.47 4.34 6.21 6.08 6.95 7.81 8.68
0.50 0.99 1. 49 1. 98. 2.48 2.98 3.47 3.97 4.47 4.96
1 2 3 4 5 6 7 8 9 10
5.33 9.60 5.82 I 10.47 11.34 6.30 12.21 6.79 13.09 7.27 13.96 7.76 14.83 8.24 15.70 8.73 16.58 9.21 9.70 17.45
5.37 5.86 6.35 6.84 7.33 7.82 8.31 8.80 9.28 9.77
9.57 10.44 11.31 12.18 13.06 13.93 14.80 15.67 16.54 17.41
5.42 5.91 6.40 6.89 7.39 7.88 8.37 8.86 9.36 9.85
9.55 10.42 11.29 12.15 13.02 13.89 14.76 15.63 16.50 17.36
5.46 5.95 6.45 6.95 7.44 7.94 8.44 8.93 9.43 9.92
11 12 13 14 15 16 17 18 19 20
10.18 10.67 11.15 11.64 12.12 12.61 13.09 13.57 14.06 14.54
18.32 19.19 20.07 20.94 21.81 22.68 23.56 25.30 26.17
10.26 10.75 11.24 11.73 12.22 12.70 13.19 13.68 14.17 14.66
18.28 19.15 20.02 20.89 21.76 22.63 23.50 24.37 25.24 26.11
10.34 10.83 11.33 11.82 12.31 12.80 13.30 13.79 14.28 14.77
18.23 19.10 19.97 20.84 21. 70 22.57 23.44 24.31 25.18 26.05
10.42 10.92 11.41 11.91 12.41 12.90 13.40' 13.89 14.39 14.89
21 22 23 24 25 26 27 28 29 30
15.03 15.51 16.00 16.48 16. 97 17.45 17.94 18.42 18.91 19.39
27.05 27.92 28.79 29.66 30.54 31.41 32.28 33.15 34.03 34.90
15.15 15.64 16.12 16.61 17.10 17.59 18.08 18.57 19.06 19.54
26.98 27.85 28.72 29.59 30.46 31.33 32.20 33.07 33.94 34.81
15.27 15.76 16.25 16.74 17.23 17.73 18.22 18.71 19.20 19.70
26.91 27.78 28.65 29.62 30.39 31.26 32.12 32.99 33.86 34.73
15.38 15.88 16.38 16.87 17.37 17.86 18.36 18.86 19.35 19.85
31 32 33 34 35 36 37 38 39 40
19.88 20.36 20.85 21.33 21.82 22.30 22.79 23.27 23.76 24.24
35.77 36.64 37.62 38.39 39.26 40.13 41.01 41.88 42.75 43.62
20.03 20.52 21.01 21. 50 21.99 22.48 22.97 23.45 23.94 24.43
35.68 36.55 37.43 38.30 39.17 40.04 40.91 41.78 42.65 43.52
20.19 20.68 21.17 21.67 22.16 22.65 23.14 23.64 24.13 24.62
35.60 36.46 37.33 38.20 39.07 39.94 40.81 41.67 42.54 43.41
20.34 20.84 21.34 21.83 22.33 22.83 23.32 23.82 24.31 24.81
41 42 43 44 45
0.48 0.97 1. 45 1.94 2.42 2.91 3.39 3.88 4.36 4.85
24.43
46
47 48 49 50
- - --- --- --- --- - - --- --- --- -8
I
Dep. 61°.
Lat.
Dep.
Dep.
Lat.
W",,".
I 66
Lat.
6O~ ••
Dep.
Lat.
6O~'.
i
I
TABLE 4.-TRAVJlJRSE. TABLR. 29,,°.
29°.
t:::I
~
29J.i°.
fA
J
Lat.
Dep.
Lat.
Dep.
51 52 53 04 55 66 57 08 59 60
44.61 45.48 46.35 47.23 48.10 48.98 49.85 SO. 73 51.60 52.48
24.73 25. 21 25.69 26.18 26.66 27.15 27.63 28.12 28.60 29.09
44.50 45.37 46.24 41.11 47.99 48.86 49.73 50.60 51.48 52.35
61
63.35 54.23 55.10 55.98 66.85 57.72 63.60 09.47 00.35 til. 22
29.57 30.06 80.04 31. 03 31.51 32.00 32.48 32.97 33.45 33.94
62.10 62. 97 63.85 64.72 65.60 66. 47 67.35 66.22 00-09 69.W
Lat.
Dep.
24.92 25.41 25.90 26. 39 26.87 27.36 27.85 28.34 28.83 29.32
44.39 45.26 46.13 47.00 47.87 48. 74 49.61 50.48 51.35 52. 22
25.11 25.61 26.10 26.59 27.08 21.58 28.07 28.56 29.05 29.55
63.22 04.09 04.97 55.84 56.71 57.58 63.46 09.33 60.20 til. 07
29.81 80.29 80.78 31. 27 31. 76 32.25 32.74 33.23 33.71 34.20
63.09 63.96 04.83 55.70 66.57 57.44 63. 31 511.18 60.05 ro.92
38.04 30.53 31.02 81.52 32.01 32.50 32.99 33.48 33.98 34.47
06.43
34.42 34.91 35.39 35.88 36.36 36.85 37.33 37.82 38.80 38.78
61. 95 62.82 63.69 64.56 65.44 66. 31 67.18 68.05 68.93 69.80
34.69 35.18 35.67 36.16 36.65 37.14 37.!i2 38.11 38.(0 39.09
61.80 62.67 63.54 64.41 65.28 fJ6.15 67.02 67.89 (;8.76 69.63
34.96 35.45 35.95 36.44 36.93 37.42 37.92 38.41 38.90 39.39
70.84 71.72 72.59 73.47 74.34 75.22 76.09 76. 97 77.84 78. 72
39.27 39.75 40.24 40.72 41. 21 41. 69 42.18 42.66 43.15 43. 63
70.67 71. 54 72.42 73.29 74.16 75.03 75.91 76.78 77.65 78. 52
39.08 40.07 40.56 41. 01 41.53 42.02 42.51 43.00 43.49 43.98
70.50 71. 37 72.24 73.11 73.98 74.85 75.72 76.59 77.46 78.33
79.59 80.47 81.34 82. 21 83.09 83.96 84.84 85.71 86.59 87.46
44.12 44.60 45.09 45.57 46.06 46.04 47.03 47.51 48.00 48.48
79.40 80.27 81.14 82.01 82.89 83.76 84.63 85. SO 86.38 87.25
44.46 44.95 45.44 45.93 46.42 46.91 47.40 47.88 48. a7 48.86
79.20 80.07 80.94 81. 81 82.68 83.55 84.42 85.29 86.17 87.04
Lat.
.. Dep.
t:::I
fA
g ~
- - --- --- - - - - - - - - - -1 - - - - - - - -
62 63 64 65 66 67 68 &9 70
n
72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92
93
1M 95 96 97
98
99 100
- - --- - - - - - - - -
i ~
Lat.
Dep. 61°.
Dep.
I
44.28 45.15' 46.01 46.88 47.75 48.62 49.49 50.36 51. 22 52.09
25.31 25.80 26.80 26.80 27.29 27.79 28.28 28.78 29.28 29.77
51 52 53 04 55 66 57 08 59 60
52.96 63.83 04.70 55.56
80.27 80.77 31. 26 31. 76 32.25 32. 75 33.75 33.14 34.24 34.74
61 62 63 64 65 66 67 88 69 70
61.64 62.51 63.38 64.25 65.11 65.98 00.85 67.72 68.59 69.46
35.23 35.73 ;16.22 36.72 37.22 37.71 38.21 38.70 39.70
71 72 73 74 75 76 77 78 79 80
39.89 40.38 40.87 41.36 41. 86 42.35 42.84 43.33 43.83 44.32
70.32 71.19 72.00 72.93 73.80 74.67 75.53 76.40 77. 27 78.14
40.19 40.69 41.19 41.(8 42.18 42. 67 43.17 43. 67 44.16 44.66
81 82 83 84 85 86 87 88 89 90
44.81 45.30 45.80 46.29 46.78 47.27 47.77 48.26 48.75 49.24
79.01 79.87 80.74 81. 61 82. 48 83.35 84.22 85.08 85.95 86.82
45.16 '45.65 46.15 46.64 47.14 47.64 48.13 48. 63 49.13 49.62
91 92 93 94 95 96 97 98 99 100
57.30 58.17 59.04 59.91 60.77
39.20
- - --- --- - - --
Lat.
Dep.
6QI,.40.
V,t.
1iOJ.i0.
67
Dep.
Lat.
1iO~ ••
e5
!
~
TABLB 4.-TRAVEB8E TABLB. t:::I
f 1 2 3 4 6 6 7 8 9 10
.. I I ------ - - - - - - - - - ---1--I
ao-,
LAt.
Dep.
SO~·.
Lat.
~
SO~·.
Lat.
Dep.
Dep.
LAt.
Dep.
, !2
0.87 1.73 2.60 3.46 4.33 6.20 6.06 6.93 7.79 8.66
0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00
0.86 1.73 2.59 3.46 4.32 6.18 6.05 6.91 7.77 8.64
0.50 1.01 1.51 2.02 2.52 :1.02 3.53 4.03 4".53 6.04
0.86 1.72 2.58 3.45 4.31 5.17 6.03 6.89 7.75 8.62
0.51 1.02 1.52 2.03 2.04 3.05 3.56 4.06 4.57 6.08
0.86 1.72 2.58 3.44 4.30 5.16 6.02 6.88 7.73 8.69
0.51 1.02 1.03 2.05 2.h6 3.07 3.58 4.09 4.60 5.11
1 2 3 4 5 6 7 8 9 10
9.03 10.39
12.12 12.99 13.86 14.72 15.59 16.46 17.32
6.50 6.00 6.60 7.00 7.50 8.00 8.50 9.00 V.50 10.00
9.50 10.37 11.23 12.09 12.96 13.82 11. e.g 15.56 16.41 17.28
5.54 6.05 6.56 7.05 7.56 8.00 8.56 9.07 V.67 10.08
9.48 10.M 11.20 12.06 12.92 13.79 14.65 15.51 16.37 17.23
5.58 6.09 6.60 7.11 7.61 8.12 8. eJ3 9.14 9.64 10.15
9.46 10.31 11.17 12.03 12.89 13.75 14.61 15.47 16.3.1 17.19
5.62 6.14 6.65 7.16 7.01 8.18 8.69 9.20 9.71 10. 23
11 12 13 14 15 16 17 18 19 20
18.19 19.05 19.92 20.78 21.65 22.52 23.38 24.25 25.11 25.911
10.50 11.00 n.50 12.00 12.50 13.00 13.50 14.00 14.50 15.00
18.14 19.00 19.87 20.73 21.110 22.46 23.32 24.19 25.05 25.92
10.68 11.08 11.59 12.09 12. 59 13.10 13.60 14. II 14.61 15.11
18.09 18.96 19.82 20.68 21.54 22.40 23.26 24.13 24.99 25.85
10.66 11.17 11.01 12.IR 12.69 13.20 13.70 14.21 14.72 15.23
18. O!i 18. 91 19.77 20.63 21.49 22.34 23.20 24.00 24.92 25.78
10.74 11.25 11.76 12.27 12.78 13.29 13.80 14.32 14.83 15.M
Iii. 50 16.00 16.50 17.00 17.50 18.00 IS-50 19.00 19.50 20.00
26.78 27.64 28.hl 29.37 30.23 31.10 31.96 32.&1
26.71 27.67 28.43 29.30 30.16 31.02 31.88 32.74 33.m M.47
15.73 16. 24 16.75 17.26 17.7" 18.27 18.78 19.29 19.79 20.30
15.85
M.56
15.62 16.12 16. 62 17.13 17.63 18.14 18.64 19.14 19.65 20.15
26.64
40
26.85 ZI.7I 28.68 29.44 30.31 31.18 32.04 !I2.91 3.1. 77 34.64
41 42 43 44 46 46 47 48 49 SO
36.61 36.37 37.24 38.11 38.97 39.84 40.70 4L57 42.44 43.30
20.50 21.00 21.50 22.00 22.50 23.00 23.50 24.00 24.50 25.00
36.42 36.28 37.14 38.01 38.87 39.74 40.60 41.46 42.3.1 43.19
20.65 2l.lfi 21.r.6 22.17 22.67 23.17 23. f>8 24.IR 24.(;8 25.19
3.5.33 af>.19 37.05 37.91 38.77 39.63 40.60 41.3(; 42.22 43.08
20. 81 21.32 21.82 22.33 22.84 23.35 23.85 2-1.36 24.87 25.38
11 12 1:1 14 15 16 17 18 19
20 21
22 23 24
25 26 27 28
29 SO 31
32 33 34
as
36
37 38 39
1-
i ~
11.26
33.69
27.50
28.36
29.22 30.08 30.94 31.80
32.00 33.52 M.38 36.24 36.10
ar.05
37.81 38.67 39.53 40.39 41.2,5 42.11 42.97
16.36
21 22
23 24
25 26 27 28 29 30
31
32
16.87 17.38 17.00 18.H 18.92 19.43 19.94 20.46
33 M 36 36 37 38 39 40
20.96
41 42 43
21.47 21.99 22.50 23.01 23.52 24.03 24.54 25.05 25.66
44
46 46 47 48 49 50
--- - - - - - - - - - - - - - - - ------ - Dep.
Lat.
Dep.
Dep.
Lat.
Lat.
Dep.
Lat.
8
CI
00·.
S93A1.,
S9)-t0,
68
5~O.
~
~
. t:::I
Ii"
f
'l'
Lat•.
aGW.
SO~·.
30·.
Lat.
Dep.
Lat,
Dep.
])ep.
- - - - - --- - - - - - - - - -
28.72 29.22 29.72 30.23
26.08 26. 59 27.10 27.61 28.12 28.03 29.14 29.85 30.17 30.68
51 '62 53 M 55 56 67 68 69 80
62.69 63.66 54.42 55.29 56. 15 67.01 67.88 58.74 09.60 60.47
30.73 31.23 31.74 32. 24 32.75 33.25 33.75 34.26 34.76 35.26
62.56 63.42 M.28 55.14 66,01 56.87 67.73 58.59 09.45 60.31
30,96 31.47 31.97 32.48 32.99 33.00 34.01 34.61 35.02 35,53
62.42 63.28 54.14 55.00 55.86 56.72 57.58 68.44 59.30 60.16
31.19 31. 70 32.21 32.72 33.23 33.75 34.26 34.77 35.28 3,;.79
61 62 64 65 66 67 68 &9 70
61.83
:~
69.11
35.77 36.27 36.78 37.28 37.78 38.29 38.79 39.29 39.80 40.30
36.04 36.64 37.05 37.66 38.07 38.57 39. OR 39.59 40.10 40.60
61.02 61.88 62.74 63.60 64.46 65.31 66.17 67.03 67.89 68.75
36.30 36.81 37.32 37.84 38.35 38.86 39.37 39.88 40.39 40.90
71 72 73 74 75 76 77 78 79 80
6'.97 70.83 71. 70 72.66 73.43 74.29 75.15 76.02 76.88 77.75
40.81 41.31 41.81 42.32 42.82 43.32 43.83 44.33 44.84 45.34
69.79 70.65 71.S2 72.38 73.24 74.10 76.68 77.55
41.n 41.62 42.13 42.63 43. i4 43. 65 44.16 44.66 45.17 45.68
69.61 70.47 71.33 72.19 73.05 73.91 74.77 75.63 76.49 77.35
41.41 41.93 42.44 42.95 43.46 43.97 44.48 44.99 45.51 46.02
81 82 83 84 85 86 87 88 89 90
78.61 79.47 80.34 81.20 82.06 82.93 83.79 84.66 85.52 86.38
45.84 46.35 46.85 47.3.'; 47.86 48.36 48.87 49.37 49.87 00.38
V8.41 79.27 80.13 80.99 81.85 82.72 83.58 84.44 85.30 86.16
46.19 46.69 47.20 47.71 48.22 48.72 49.23 49.74 00.25 ,ro.75
78.21 79.07 79.92 80.78 81. 64 82.60 83.36 84.22 85.08 85.94
48.63 47.04 47.55 48.06 48. 57 49.08 49.60 ,ro. II 00.r.2 51.13
91 92 93 94 95 96 97 98 99 100
44.06 44.92 45. 78 46.65 47.51 48.37 49.24 00.10 00.97 61.83
23.69 26.20 26.70
61 62 83 64 86 66 67 68 69 70
62.83 53.69 M.56 55.43 56.29 57.16 68.02 58.89 59.76 60.62
30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.,ro 35,00
71 72 73 74 75 76 77 78 711 80
61. 49 62.35 63.22 64.09 64.95 65.82 66.68 67.55 68.42 69.28
35.60 36.00 36.,ro 37.00 37.60 38.00 38.60 39.00 39.00 40.00
81 82 83 84 85 36 87 88 89 90
70.15 71.01 71.88 72.75 73.61 74.48 75.34 76.21 77.08 77.94
40.60 41.00 41.00 42.00 42.60 43.00 43.00 44.00 44.00 46.00
91 92 93 94 95 96 97
78.81 79.67 80.64 81.41 82.27 83.14 84.00 84.87 85.74 86.60
45. /iO 46.00 46.,ro 47.00 47.00 48.00 48.00 49.00 49.,ro 00.00
62.'JJJ 63.06 63.92 64.79 65.65 66.62 67.38 68. 24
27.'JJJ 27.71
28. 21
~:*:~
:93
74.96 15.82
I
- - - - - - - - ------ - - - - -
l
!i ~
Lat.
Dep.
Lat.
Dep.
I
69
~ 09~'.
Lat. !Dep .
59~·.
693,4·.
60'.
f
-_.
43.83 44.69 45. 55 46. 41 47.27 48.13 48.99 49.85 00.70 61.66
26.50 26.00 26.50 27.00 27.50 28.00 28.00 29.00 29.00 30.00
Dep.
Dell·
Ii"
25.88 )16,39 26.90 27.41 27.91 28.42 28.93 29.44 \l9,94 30.45
44.17 45. 03 45.90 46. 77 47.63 48.00 49.36 00.23 51.10 61.96
98
Lat.
--.-.-
..
t:::I
1
43. 94 44.80 45.67 46.53 47.39 48.25 49.11 49.97 00.84 61.70
51 62 53 M 55 56 57 68 69 80
.99 100
~'.
I
63
--
I
TABLE f.-TaAVBUE TABLE. \j
310.
Ii"
J
Lat.
31~0.
31~0.
Lat.
Dep.
Dep.
Lat.
.. \j
31W.
Dep.
Lat.
Dep.
f
- - - - --- --- --- --- --- - - - - - - - I 2 3 4 5 6 7 8 9 10
0.86 1.7l. 2.57 3.43 4.29 6.14 6.00 6.86 7.71 8.57
0.52 1.00 1.55 2.06 2.58 3.09 3.61 4.12 4.64 5.15
0.85 1.71 2.56 3.42 4.27 5.13 5.98 6.84 7.69 8.55
0.52 1.04 1.56 2.08 2.59 3.11 3.63 4.15 4.67 5.19
11 12 13 14 15 16 17 18 19 20
9.43 ' 10.29 11.14 12.00 12.86 13.71. 14.57 15.43 16.29 17.14
5.67 6.18 6.70 7.21 7.73 8.24 8.76 9.27 9.79 10.30
9.40 10.26 11.11 11.97 12.82 13.68 14.63 15.39 16.24 17.10
5.71 6.23 6.74' 7.26 7.78 8.30 8.82 9.34 9.86 10.38
21 22 23 24 25 26 27 28 29 30
18.00 18.116 19.71 20.57 21. 43 22.29 23.14 24.00 24.86 25.72
10.82 11.33 11.85 12.36 12.88 13.39 13.91 14.42 14.94' 15.45
17.95 18.81' 19.{i6 20.52 21.37 22.23 23.08 23.94 24.79 25.65
31 32 33 34 35 36 37 38 39 40
20.57 27.43 28.29 29.14 30.00 30.86 31.72 32.57 33.43 31.29
15.97 16.48 17.00 17.51 18.m
41 42 43 H 45 46 47 48 49 60
35.14 36.00 36.86 37.72 38.57 39.43 40.29 41.14 42.00' 42.86
1~.54
19.06 19.57 20.09 20.00 21.12 21.63 22.15 22.66 23.1R 23.09 2~.21
24.72 25.24 25.75
0.63 . 1.05 1.58 2.10 2.63 3.16 4.21 4.74 5.26
1 2 3 4 5 6 7 8 9 10
9.35 10.20 11.05 11.00 12.76 13.61 14.46 15.31 16.16 17.01
0.79 6.31 6.84 7.lr1 7.89 8.42 8.95 9.47 10.00 10.52
11 12 13 14 15 16 17 18 19 20
10:97 11.49 12.02 12.54 13.06 13.58 14.11 14.63 15.15 15.67
17.86 18.71 19.56 20.41 21. 26 22.11 22.96 23.81 24.66 25.51
11.05 I1.1i8 12.10 12.63 13.16 . 13.68 14.21 14.73 15.26 15.79
21 22 23 24 25 26 27 28 29 30
26.43 27.28 28.14 28.99 29.84 30.70 31.55 32.40 33.25 34.11
16.20 16.72 17.24 17.76 18.29 18.81 19.33 19.85 20.38 20.00
26.36 27.21 28.06 28.91 29.76 30.61 31.46 32.31 33.16 34.01
16.31 16.8·\ 17.37 17.89 18.42 18. 9~ 19.47 20.00 20.52 21.05
31 32 33 34 35 36 37 38 39 40
34.96 35.81 36.00 37.52 38.37 39.22 40.07 40.93 41.78 42.63
21.42 21.94 22.47 22.99 23.51 24.03 24.56 25.08 25.60 26.12
.~.86
35.71 36.57 37.42 38.27 39.12 39.97\ 40.82 41. ()7 42.52
21.m
41 42 43 44 45 46 47 48 49 60
0.85 1. 71 . 2.56 3.41 4.26 5.12 5.97 6.82 7.67 8.63
0.52 1.04 1.57 2.09 2.61 3.13 3.66 4.18 4.70 5.22
0.85 1. 70 2.55 3.40 4.25 5.10 5.95 6.80 7.65 8.60
9.38 10.23 11.08 11.94 12.79 13.64 14.49 15.35 16.20 17.05
6.75 6.27 6.79 7.31 7.84 8.36 8.88 9.40 9.93 10.45
10.89 11.41 11.93 12.45 12.97 13;49 14;01 14.63· 15.04 15.56
17.91 18.76 19.61 20.46 21.32 22.17 23.02 23.87 ' 24.73 25.58
26.60 27.36 28.21 29.07 29.92 30.78 31. 63 32.49 3.~. 34 34.20
16.08 16.00 17.12 17.64 18.16 18.68 19.19 19.71 20.23 20.75
35.05 35.91 36.76 37.()2: 38.47 39.33 40.18 41.04 41.89 42.75
21 27 21. 79 22.31 . 22.83 23.34 23.8f> 24.38 24.00 25.42 25.94
3.fiS
22.10 22.63 23.15 23.68 24.21 21.73 25.26 25.78 26.31
- - --- --- --- - - - - --- ------ -ti
'"
~
Dep.
Lat.
Dep. 00 0.
I
Dep.
Lat.
#58Uo°.
I 70
Lat.
58~o.
Dep.
I Lat. ~E'"
58~o.
i:S
TABLE f.-TIU. vaUE TABLE. l;j
I
31°.
f -----Lat.
Dep.
51 52 53 54 65 66 57 68 59 60
43.72 «.57 .s.fa 46.29 47.14 48.00 48.86 49..72 50.57 51. ...1
26.27 26. 78 27.30 27.81 28.33 28.84 . 29.36 29.87 <10.39 30.90
61 62 63 64 65 66
31.42 31.93 32. .s
67 68 69 70
52.29 53.14 54.00 54.86 55.72 66.57 57. fa 58.29 59.14 60.00
Tl 72 73 74 75 76 77 78 79 80
Lat.
I
Dep.
Lat.
I
Dep.
------ ------
31",·.
Lat. Dep. --I---
l;j
rr
~
Ii
43.00 44 . .s 31 46.17 47.02 47.88 48. 73 49..68 50. 44 51.29
26.46 26.98 27.49 28.01 28.53 29.05 29.57 30.09 30.61 31.13
fa. 48 44. a. .s.19 46.04 46.90 47.75 48.00 49.45 50. 31 51.16
26.65 27.17 27.69 28.21 28.74 29.26 29.78 30.30 30.83 31.35
43.37 «.22 .s.07 .s.92 46. 77 47.62 48.47 49.32 SO. 17 51.02
26.84 27.36 27.89 28.42 28.94 29.47 29.99 30.52 31.05 31.57
51 52 53 54 55 66 57 68 59 60
35.02 35.64 36.05
6115 53.00 53.86 54.71 55.57 56.42 57,28 58.13 58.99 59.84
31.65 32.16 32.68 33.20 33.72 34.24 34. 76 35.28 35.80 36.31
52.01 62.86 53.72 54.57 55.42 56.27 57.13 57.98 58.83 69.68
31.87 32.39 32.92 33.44 33.96 a.. 48 35.01 35.53 36.05 36.57
51.87 52.72 53.57 54.42 55.27 66.12 56.98 57.82 58.67 59.52
32.10 32.63 33.15 33.68 a.. 20 a.. 73 35.26 35.78 36.31 36.83
61 62 63 114 65 66 67 68 69 70
00.86 61.72 62.57 63.43 114.29 65.14 66. (X) 66.86 67.72 68.57
36.67 37.08 37.60 38.11 38.63 39.14 39.66 40.17 40.69 41. 20
00.70 61.55 62.41 63.26 114.12 114.97 65.83 66.68 67.54 68.39
36.83 37.35 37.87 38.39 38.91 39.43 39.95 40.46 40.98 41. SO
60.64 61..39 6124 63.10 63.95
M.SO
65.65 66.51 67.36 6R.21
37.10 37.62 38.14 38.66 39.19 39.71 40.23 40.75 41.28 41.80
00.38 61.23 62.08 62.93 63. 78 114.63 6S.48 66.33 67.18 68.03
37.36 37.89 38.41 38.94 39.47 39.99 40.52 41.04 41.57 42.10
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 80
89. fa 70.29 71.14 72.00 . 72.86 73.72 74.57 75. fa 76.29 17.15
41.72 42.23 42.75 fa. 26 43.78 «.29 44.81 .s.32 45.84 46.35
69.25 10.10 70.96 71.81 72.67 73.52 74.38 75.23 76.09 76.94
42.02 42.54 fa. 06 fa. 58 44.10 44.61 .s.13 .s.65 46.17 46.69
69.06 69.92 70.77 71.62 72.47 73.33 74.18 75.03 75.88 76. 74
42.32 42.84 43.37 43.89 44.41 44.93 .s.46 .s.98 .s.SO 47.02
68.88 69.73 70.58 71.43 72.28 73.13 73.98 74.83 75.68 76.53
42.62 fa. 15 43.68 44.20 44.73 45.25 .s.78 46.31 46.83 47.36
81 82 83 84 85 '86 87 88 89 90
91 92 93 94 95
78.00 78.86 79.72 SO. 57 81.43 82.29 83.15 84.00 84.86 85.12
46.87 47.38 47.90 48.41 48.93 49.44 49.96 SO. 47 50.99 51.50
77. SO 78. 65 79.51 SO. 36 81.22 82.07 82.93 83.78 84.114 85.49
47.21 47.73 48.25 48.76 49.28 49. SO SO. 32 SO. 84 51.36 51.88
77.59 78.44 79.30 SO. 15 81.00 81.85 82.71 83.66 84.41 85.26
47.55 48.07 48.59 49.11 49.114 SO. 16 SO. 68 51.20 51.73 52.25
77.38 78.23 79.08 79.93 SO. 78 81.63 82.48 83.33 84.18 85.04
47.89 48.41 48.94 49.47 49.99 SO. 52 51.04 51.67 52.10 52.62
96 97
98 IKl
100
--
.
31)i".
31W·
t! J:I
J!! .!2 ~
32.96
33.48 33.99
a.. 61
.s~
91 92 93 94 95 96 97· 98
I
99 100
--- - - - --- - - - - - - - - - ------ - Dep. 59°.
Lat.
Dep.
Dep.
Lat.
Lat.
58~o.
68~o.
71
Dep.
Lat.
58)4;°.
!lC
.
:ii
~
,
TABLE 4.-TR.l fBasE TABLE.
'='
I
32°.
10
iO
~
I
--I Lat.
Dep.
32~·.
Let.
32~·.
Let.
Dep.
~.
Dep.
Lat.
Dep.
------ ------ ------ -
f
10
0.85 1.70 2.54 3.39 4.24 5.09 5. 94 6.78 7.63 8. 48
0.63 1.06 1.59 2.12 2.65 3.18 3.71 4.24 4.77 5.30
0.85 1.69 2.64 3.38 4.23 6.07 5.92 6.77 7.61 8.46
0.63 1.07 1.00 2.13 2.67 3.20 3.74 4.27 4.8> 6.34
0.84 1.69 2.63 3.37 4.22 6.06 5.110 6. 75 7.59 8.43
0.64 1.07 1.61 2.1S 2.69 3.22 3. 76 4.30 4.84 5.37
0.14 1.08 2.62 3.36 4.21 6.05 5.89 6.73 7.57 8.41
0.64 1.08 1.62 2.16 2.70 3.26 3.79 4.33 4.87 6.41
11 12 13 14 15 16 17 18 19 20
9.33 10.18 11.02 11.87 12. 72 13.57 14.42 15. 26 16.ll 16.96
5.83 6.36 6.89 7.42 7.95 8.48 9.01 9.54 10.07 10.00
9.30 10.15 10.99 11.84 12.69 13.63 14.38 15.22 16. 07 16. 01
5.87 6.40 6.94 7.47 8.00 8.54 9.07 9.61 10.14 10.67
9.28 10.12 10.96 11.81 12.65 13.49 14.34 15.18 16.02 16.87
6.91 6.45 6.98 7.52 8.06 8.00
~26
10.09 10.93 ll.77 12.62 13.46 14.30 15.14 15.98 16.82
6.86 6.49 7.03 7.S7 8.ll 8.66 9.20 9.74 10.28 10.82
13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28
17.81 18.66 19.51 20.35 21.20 22.05 22.90 23.75 24.W 25.44
ll.13 ll.66 12.19 12.72 13.25 13.78 14.31 15.37 15.110
17.76 18.61 19.45 20.30 21.14 21.99 22.83 23.68 24.63 25.37
ll.21 ll.74 12.27 12.81 13.34 13.87 14.41 14.94 15.47 16.01
17.71 18.65 19.40 20.24 21.08 21.93 22.77 23.61 24.46 25.30
17.66 18.50 19.34 3).18 21.03 21.87 22.71 23.65 24.39 25.23
ll.36 ll.90 12.44 12.98 13.62 14.07 14.61 15. IS 15.69 16. 23
21 22 23 24 25 26 27 28 29 30
26.29 27.14 27.99
16.43 16. 96 17.49 18.02 18.65 19.08 19.61 20.14 20.67 21.3)
26.22 27.06 27.91 28.75 29.00 30.45 31. 29 32.14 32.98 33.83
16.54 17.08 17.61 18.14 18.08 19.21 19.74 20.28 20.81 21.34
26.15
27.83 28.68 29.52 30.36 31.21 32.05 32.89 33.74
26.07 16.66 26.91 17.19 27.75 17.73 28.00 18.27 18.81 1 29.44 19.34 30.28 19.88 31.12 20.42 31.96 82.8> 20.95 33.64
16. 77 17.31 17.85 18.39 18. 93 19.48 20.02 20.66 21.10 21.64
21.73 22.26 22.79 23.32 23.85 24.38 24.91 25.44 25.97 26.50 --
34.67 35. 52 36.37 37.21 38.06 38.90 39.75 40.59 41.44 42.29
21.88 22.41 22.95 23.48 24.01 24.65 25.08 25.61 26.15 20.68
34.68 35.42 36. 27 37.11 37.95 38.8> 39.64 40.48 41.33 42.17
22.03 22.57 23.10 23.64 24.18 24.72 25.25 25. 79 26.33 26.86
22.18 22.72 23.26 23.80 24.34 24.88 25. 43 25.97 26.51 27.05
1 2 3 4 5 6 7 8 9
29
30
31 32
a:J
34 35 30 37 38
28.83
40
29.08 30.53 31.38 32.23 33.07 33.92
41 42 43 44 45 , 411 47 48 49 50
34.77 35.62 36.47 37.31 38.16 39.01 39.80 40.71 41.65 42.40
39
-- -8
I A
14.84
Del'. ·58·.
Lat.
- - --Del'.
Lat.
26.99
ll.28 11.82 12.36 12.90 13.43 13.97 14.51 15.04 15.68\ 16.12
"'' 1 Lat.
57~·.
72
34.48 35.32 36.16 37.01 37.85 38.69 39.63 40.37 41.21 42.05
7
8 9
10 11
1~
31
32 33
34
35 36 37 38
39
40
41 42 43 44 45 46
47
48 49 50
- - --- --- - - -Dep.
57~·.
~.13
9.67 10.21 10.75
1 2 3 4 II 6
Del'.
Lat.
S7~'.
li
j
Q
-.
TABtE 4 •...:.TRAVERSE TABLE. t::l
32~·.
32·.
Iii"
32J.i·.
!
32'4·.
I Lat. Dep. LIlt. Dep. Lat. Dep. I Lat. 1 - - - - - - - - - - - - ----
J 63 54 65 66 67 68 59 00
44.95 45. 79 46.64 47.49 48.34 49.19 60.03 60.88
28.09 28.62 29.15 29.68 30.21 30.74 31.27 31.80
44.82 45.67 46.52 47.36 48.21 49.05 49.90 60.74
28.28 28.82 29.35 29.88 30.42 30.95 31. 48 32.02
44.70 45.54 46.39 47.23 48.07 48.92 49.76 60.00
28.48 29.01 29.55 30.09 30.63 31.16 31. 70 32.24
61 62 Oil 64 Ii6 Ii6 61 68
61. 73 62.68 63.43 54.28 65.12 65.97 66.82 67.67 68.52
32.33 32.85 33.38 33.91 34.44 34.97 35.60 36.03 36.66 37.09
31.59 52.44 63.28 54.13 .'14.97 65.82 66.66 67.51 68.36 59.20
32.55 33.08 33.62 34.15 34.68 35.22 35.75 36.29 36.82 37.35
51. 45 52.29 63.13 63.98 54.82 65.66 56.51 67.35 68.19 ·59.04
82.78 33.31 33.85 34.39 34.92 35.46 36.00
37.89 38.42 38.95 39.49 40.02 40.65 41.09 41.62 42.16 42.00
69
44.58 46.42 46.26 47.10 47.94 48.78 49.62 60.46
59.71 60.65 61.40 62.24 63.08 63.92 64.76 65.60 86.44 01.28
38.95 39.49 40.03 40.67 41.11 41.66 42.20 42.74
43.Z8
71 72 73 74 76 76 77 78 79 80
43.82 44.36 44.90 45.44 45.98 46. 52 47.06 47.61 48.16 48.69
81 82 83 84 85 86 87 88 89 90
49.23 49.77 60.31 60.85 61.39 61.93 62.47 53.02 53.66 .'14.10
II:! 94 95 96 97 98 99 100
42.~
68.00
42.92 43.46 43.98 44.61 45.04 45.67 46.10 46.63 47.16 47.69
68.60 69.35 70.20 71.04 71.89 72.73 73.58 74.42 75.27 76.12
43.22 43.76 44.29 44.82 45. 36 45.89 46.42 46.96 47.49 48.03
68.31 69.16 70.00 70.84 71.00 72.53 73.38 74.22 75.06 75. 91
43.52 44.06
45.13 45.67 46.21 46.75 47.28 47.82 48.36
/18.12 68.97 69.81 70.65 71.49 72.33 73.17 74.01 74.85 76.69
48.22 48.75 49.28 49.81 60.34 60.87 61.40 61.93 62.46 S2.99
76.116 77.81 78.65 79.60 so. 34 81.19 82.04 82.88 83.73 84.67
48.66 49.09 49.63 60.16
76.75 77.59 78.44 79.28 80.12 flO. 97 81.81 82.65 83.60 84.34
411.89 49.43 49.97 60.51 61.04 iii. 68 62.12 62.66 63.19 63.73
76.63 77.38 78. 22 79.06 79.90 80.74 81.58 82.42 83.26 84.10
811
90
iii iI2 iii! 94 95 96 97 Il8 99 100
73.78 74.63 75.48 76.32 77.17 78.02 78.87 79.72
80.66 81.41 82.26 83.11 83.96
84.80
60.00
61.23 M.76 62.29 62.83 63.36
- - --- - - --- - -
Ii .!l
A
Dep.
Lat.
Dep.
H.W
-- -Dep.
Lat.
38.41
38.15 38.fi9 39.22 39.76 40.30 40.83 41.37 41.91 42.45 42.98
60.06 60.89 61.74 62.68 63.43 64.28 65.12 65.97 66.81 67.66
72.93
61 62 63 64 65 66
59.88 60.72 61.57 62.41 63.25 64.10 64.94 65.78 86.63 67.47
37.62 38.15 38.68 39.21 39.74 40.27 40. SO 41.33 41.86
69.54
33:00 33.54 34.08 34.62 35.16 35.70 36.25 36. 79 37.33 37.87
58.87
M.03
60.21 61.06 61.91 62.7(; 63.60 64.45 65.30 66.15 67.00 01.84
70.39 71.24 72.08
51 62 63 54 65 66 67 68 59 00
37.07 37.61
71
81 82 83 84 85 86 87 88
27.59 28.13 28.01 29.21 29.75 30.29 :lO.84 31.38 31.92 3"2.46
36.64
59.36
73 74 75 76 77 78 ?9 80
t
61.30 62.14 62.99 63.83 54.67 65. 61 66.35 67.19
70
72
I
I
Dep.
t::l
Iii"
Lat.
t;T
68 69 '10
91
92
--- - - - Dep.
1M.
ti
~
68·.
67~·.
Sm·.
73
6~·.
.l!
A
TABLE '.-TRAVERSE TABLB. - - - - - - - - _ .__.~
33 0•
l:'
Ii"
f
Lat.
33~0.
Dep.
Lat.
33~0.
Dep.
~o.
Dep.
!.at.
Lat.
l:'
Dep.
f
- - - - - - - - - - - - - - - - - - - - - - - --- - I 2 3 4 5 6 7 8 9 10
0.84 1.68 2.52 3.35 4.19 5.03 5.87 6.71 7.55 8.39
O.M 1.09 1.G3 2.18 2.72 3.27 3.81 4.36 4.90 5.45
0.84 1.67 2. 51 3.,35 4.18 5.02 5.85 6.69 7.53 8.36
0.65 1.10 1.64 2.19 2.74 3.29 3.84 4.39 4.93 5.48
0.83 1.67 2.50 3.M 4.17 5.00 5.84 6.67 7.50 8.M
0.65 1.10 1.66 2.21 2.76 3.31 3.86 4.42 4.97 5.52
0.83 1.66 2.4g 3.33 4.16 4.99 5.82 6.65 7.48 8.31
0.06 1.11 1.67 2.22 2.78 3.33 3.89 4.« 5.00 5.06
1 2 3 4 5 6 7 8 9 10
11 :2 13 14 15 16 17 18 19 20
9.23 10.06 10.90 11.74 12.58 13.42 14.26 15.10 15.93 16.77
5.99 6.M 7.08 7.62 8.17 8.71 9.26 9.80 10.35 10.89
9.20 10.04 10.87 11.71 12.M 13.38 14.22 15.05 15.89 16.73
6.03 6.58 7.13 7.68 8.22 8.77 9.32 9.87 10.42 10.97
9.17 10.01 10.84 11.67 12.51 13.M 14.18 15.01 15.84 16.68
6.07 6.62 7.18 7.73 8.28 8.83 9.38 9.93 10.49 11.04
9.15 9.98 10.81 11.e4 12.47 13.30 14.13 14.97 15.80 16.63
6.11 6.67 7.22 7.78 8.33 8.89 9.44 10.00 10.66 11.11
11 12 13 14 16 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
17.61 18.45 19.29 20.13 20.97 21.81 22.64 23.48 24.32 25.16
11.« 11.98 12.53 13.07 13.62 14.16 14.71 15.25 15.79 16.M
17.66 18.40 19.23 20.07 20.91 21.74 22.58 23.42 24. 2.~ 25.09
11.51 12.06 12.61 13.16 13.71 14.26 14.80 15.35 15.90 16.45
17.61 18.35 19.18 20.01 20.85 21.68 22.51 23.35 24.18 25.02
11.00 12.14 12.69 13.25 13.80 14.35 14.90 15.45 16.01 16.06
17.46 18.29 19.12 19.00 20.79 21.62 22.45 ' 23.28 24.11
21 22 23 24 25 26 27
~.94
11.67 12.22 12.78 13.33 13.89 14.« 15.00 15.06 16.11 16.67
31 32 33 M 35 36 :rI 38 39 40
26.00 26.84 27.68 28. hi 29.35 30.19 31.03 31.87 32.71 33.65
16.88 17.43 17.97 18.52 19.06 19.61 20.15 20.70 21.24 21.79
25.~
26.76 27.00 28.43 29.27 30.11 30.94 31. 78 32.fl2 33.45
17.00 17.65 18.09 18.64 19.19 19.74 20.29 20.84 21.38 21.93
25.85 26.68 27.52 28.35 29.19 30.02 3O.8S 31.69 32.52 33.36
17.11 17.66 18.21 18.77 19.32 19.87 20.42 20.97 21.53 22.08
25.78 26.61 27.« 28.27 29.10 29.9.1 30.76 31.60 32.43 33.26
17.22 17.78 18.33 18.89 19.« 20.00 20.56 21.11 21.67 22.22
811 40
41 C 43 « 45
M.39 35.22 36.06 36.90 :rI.74 38.58 39.42 40.26 41.09 41.93
22.33 22.87 23.42 23.00 24.61 25.05 25.60 26.14 26.69 27.23
M.29 35.12 35.00 36.80 37.63 38.47 39.31 40.14 40.98 41.81
22.48 23.03 23.58 24.12 24.67 25.22 25.77 26.32 26.87 27.41
M.19 35.02 35.86 36.69 37.62 38.36 39.19 40.03 40.86 41. 00
22.63 23.18 23.73 24.29 24.84 25.39 25.94 26.49 27.04 27.1!O
M.09 35.75 36.58 :rI.42 38.25 39.08 39.g1 40.74 41.67
22.78 23.33 23.89 24.45 25.00 25.66 26.11 26.67 27.22 27.78
41 42 43 « 45 46 47 48 49 lID
46 47 48 49 50
M.~
28
29 30 31 32
as
M 36 36
:rI
38
- - - - - - - - - - - - - - - - - - - - - - - --- - ~
iA
Lat.
Dep.
r;;o.
Dep. ~
Lat.
Lat.
Dep.
..
..
~
74
Lat.
Dep.
..
~
j A
TABLB t.-TRA VERSE TABLE. 1::1
II
33·.
iD
S-
~
Lat.
33~o.
Lat.
Dep.
33J.i·.
Lat.
Dep.
II
33W· Lat.
Dep.
- - --- --- --- --- ------ --61 62 63 54 55 56 57 58 59
60 61" 62
63
64 65 66 67 ~8
69 70 71 72
73 74 75 76 77 78 79 SO
42.77 43.61 44.45 46.29 46.13 46.f1T 47. SO 48.64 49.48 60.32
Zl.78 28.32 2I!.87. 29.41 29.96 30.60 31.04 31. 69 32.13 32.68
42.65 43.40 44.32 46.16 46.00 46.83 47.67 48.60· 49.34 60.18
51.16 62.00 62.84 63.67 54.51 55.35 56.19 57.03 57.87 58.71
33.22 33.77 34.31. 34.86 35.40 35.95 36.49 37.04 37.58 38.12
69.55 60.38 61.22 62.06 62.90
63.74, 64.58 65.42 66.25 67.09
Zl.96 28.51
f
--
30.16 30.70 31.. 25 31. SO 32.35 32.90
42.63 43.36 44.20 46.03 45.86 46.70 47.63 48.37 49.20 60.03
29. SO 30.36 30.91 31.46 32.01 32.56 33.12
42.40 43.24 44.07 44.90 45.73 46.56 47.39 48.23 49.06 49.89
51.01 51.86 62.69 63.62. 54.36 55.19 56.03 56.87 57.70 58.54
33.45 33.99 34.54 35.09 36.64 36.19 36.74 37.28 37.83 38.38
60.87 51.70 62.63 63.37 54.20 65.04 55.87 56.70 67.54 58.37
33.67 34.22 34.77 35.32 35.88 36.43 36.98 37.63 38.08 3&.64
60.72 61.55 62.38 63.21 54.05 54.88 55.71 56.54 57.37 58.20
33.89 34.45 35.00 35.56 36.11 36.67 37.22 37.78 38.33 38.89
61 62 63 64 65 66 67 68 69 70
38.67 39.21 39.76 40.30 40.86 41.39 41. 94 42.48 43.03 43.67
69.38 60.21 61.05 61.89 62.72 63.56 64.39 65.23 66.07 66.90
38.93 39.48· 40.03 40.57 41.12 41.67 42.22 42.77 43.32 43.86
69.21 60.04 60.87 61.71 62.54 63.38 64.21 65.!» 65.88 66.71
39.19 39.74 40.29 40.84 41.40 41.95 42.60 43.05 43.60 44.15
69.03 69.87 60.70 61.63 62.36 63.19 64.02 64.86 65.fi9 66.52
39.45 40.00 40.56 41.11 41.67 42.22 42.78 43.33 43.89 44.45
71 72 73 74 75 76 77 78 79 SO
67.74 68.58 69.41 70.25 71.08 71. 92 72.76 73.69 74.43 75.27
44.41 44.96 45.61 46.06 46.60 47.15 47.70 48.25 48.80 49.35
tl7.54 68.38 69.21 70.05 70.88 71. 71 72.55 n38 74.22 75.05
44.71 45.26 45.81 46.36 46.91 47.47 48.02 48.67 49.12 49.67
tl7.35 68.18 69.01 69.84 70. tl7 71.61 72.34 73.17 74.00 74.83
45.00 46.56 46.11 46.67 47.22 47.78 48.33 48.89 49.45 60.00
81 82 83 84 86 86 87 88 89 90
49.89 60.44 60.99 51.54 62.09 62.64 63.18 63.73 54.28 54.83
75.88 76.72 77.65 78.39 79.22 SO. 05 SO. 89 81.72 82.55 83.39
60.23 60.78 61.33 61.88 62.43 62.99
75.66 76.60 77.33 78.16 78.99 79.82 80.65 81.48 82.32 83.15
60.56 51.11 61.67 52.22 62.78 6.3.33 63.89 54.45 65.00 55.56
91 92 93 94 95 96 97 98 99 100
~.06 ~.61
28.15 28.70
Dep. ~--
1::1
iD
~.25
28.33 28.89 29.45· 30.00 30.56 31.11 31.67
32.22 32.78 33.33
51 62 63 54 55 56 57 58
69
60
I
81 82 8.3 84 86 86 87 88 89 90
67.93 68.77 69.61 70.45 71.29 72.13 72.96 74.64 75.48
44.12 44.66 46.21 45.75 46.29 46.84 47.38 47.93 48.47 49.02
91 92 9.3 94 95 96 97 98 99 100
76.32 77.16 78.0(1 78.84 79.57 SO. 51 81.35 82.19 83.03 83.87
76.10 76.94 77.77 78.61. 61. 20 ! 61. 74 I 79.45 62.29 ' SO. 28 81.12 81.96 82.79 63.92 54.46 83.63
73.80
49.56
~U11
~~i
- - - ---
- - --.;
<>
I
~., is
Lat.
Dep. 67·.
I I I
Dep. ~
6.~.54
54.09 54.64 55.19
--- - - - - -
Lat.
Dep.
..
Lat.
66J.i ••
76
Dep.
I
-Lat.
56~o.
~
:; :!l
A
TABLE f.-TRAVf:RSE TABLE.
~
~ -I
L~.
Dep.
0.82 1.64 2.46 3.29 4.11 4.93 5.75 6.67 7.39 8.22
0.67 1.14 1.71 2.28 2.85 3.42 3.99 4.56 5.13 5.70
1 2 3 4 5 6 7 8 9 10
6.15 6.71 7.27 7.83 8.39 8.96 9.61 10.07 10.62 11.18
9.09 9.92 10.75 11.57 12.40 13.23 14.05 14.88 15.71 16.53
6.19 6.76 7.32 7.88 8.44 9.00 9.57 10.13 10.69 11.26
9.07 9.89 10.71 11.54 12.36 13.19 14.01 14.83 16.66 HI. 48
6.23 6.80 7.36 7.93 8.50 9.06 9.63 10.20 10.76 11.33
9.04 9.86 10.68 11.50 12.32 13.15 13.97 14.79 16.61 16.43
6.27 6.84 7.41 7.98 8.65 9.12 9.69 10.26 10.83 11.40
11 12 13 14 15 16 17 18 19 20
17.41 18.24 19.07 19.90 20.73 21.65 22.38 23.21 24.04 24.87
11.74 12.30 12.36 13.42 13.98 14.54 16.10 15.66 16.22 16.78
17.36 18.18 19.01 19.84 20.66 21.49 22.32 23.14 23.97 24.80
11.82 12.38 12.94 13.51 14.07 14.63 16.20 15.76 16.32 16.88
17.31 18.13 18.95 19.78 20.60 21.43 22.25 23.08 23.90 24.72
11.89 12.46 13.03 13.59 14.16 14.73 15.29 15.86 16.43 16.99
17.25 18.08 18.90 19.72 20.54 21.36 22.18 23.01 23.83 24.65
11.97 12.54 13.11 13.68 14.25 14.82 16.39 15.96 16.53 17.10
21 22 23
25.70 26.53 27.36 28.19 29.02 29.85 30.67 31.50 32.33 33.16
17.33 17.89 18.45 19.01 19.57 20.13 20.69 21.25 21. 81 22.:rT
25.62 26.45 27.28 28.10 28.93 29.76 30.58 31. 41 32.24 33.06
17.45 18.01 18.57 19.14 19.70 20.26 20.82 21.39 21. 95 22.51
26.65, 26.37 27.20 28.02 28.84 29.67 30.49 31.32 32.14 32.97
17.56 18.12 18.69 19.26 19.82 20.39 20.96 21. 52 22.09 22.66
26.47 26.29 27.11 27.94 28.76 29.58 30.40 31. 22 32.04 32.87
17.67 18.24 18.81 19.38 19.95 20.52 21.09 21.66 22.23 22.80
31 32
33.99 34.82 35.65 36.48 37.31 38.14 38.96 39.79 40.62 41.45
22.93 23.49 24.05 24.60 25.16 25.72 26.28 26.84 27.40 27.96
33.89 34.72 35.54 36.37 37.20 38.02 38.85 39.68 40.50 41.83
23.08 23.64 24.20 24.76 25.33 25.89 26.45 27.01 27.58 28.14
33.79 34.61 35.44 36.26 :rT.09 37.91 38.73 39.56 40.38 41. 21
23.22 23.79 24.36 24.92 26.49 26.05 26.62 27.19 27.75 28.32
33.69 23.37 23.94 34.61 35.33 .24.51 36.15 25.08 25.65 36.97 26.22 :rT.80 38.62 26.79 39.44 27.36 40.26 27.9.1 41.08 28.50
31 32
50
i
0.57 1.13 1. 70 2.27 2.83 3.40 3.96 4.53 6.10 6.66
21 22 23 24 25 26 27 28 29 30
46
Dep.
0.82 1.65 2.47 3.30 4.12 4.94 6.77 6.59 7.42 8.24
9.12 9.95 10.78 11.61 12.44 13.26 14.09 14.92 15.75 16.58
47 48 49
Lat.
Dep.
0.56 1.13 1. 69 2.25 2.81 3.38 3.94 4.50 6.07 6.63
11 12 13 14 15 16 17 18 19 20
41 42 43 44 45
Lat.
Dep.
0.83 1.65 2.48 3.31 4.13 4.96 6.79 6.61 7.44 8.27
0.83 1.66 2.49 3.32 4.15 4.97 5.80 6.63 7.46 8.29
34 35 36 :rT 38 39 40
Lat.
3414°.
34J.i°.
--- - - - - - - - - - - - - - - - - - - - - - -
2 3 4 5 6 7 8 9 10
33
34~o.
34 0 •
t;j
0.56 1.12 1.68 2.24 2.80 3.36 3.91 4.47 , 6.03 5.59
24 25
26 27 28 29 30
33 34 35 36 :rT 38 a9 40 41 42 43 44 45 46
47 48 49 50
- - --- - - - - - - - - - - - - - - - - - - - - -I -
i
.!I
A
Lat.
Dep.
Dep.
Lat.
Dep.
Lat .
Dep.
Lat.
, MO.
~o.
MJ.iD.
18
65~D.
i
.!I
A
T4Bl.B 4.-TUVB&8B TA.BLE.
J
I
34°.
t:I ;;-
Dep.
1M.
1- --42.28 51 43.11 62 43.94 63 44.n M 45.00 55 46.43 5& 47.26 67 48.08 liS 48.91 59 49.74 00
.
. 34~0.
34J.i°.
394°.
t:I
Iii"
Lat.
Lat.
Dep.
Dep.
Lat.
Dep.
J
--- --- - - - --- --- ---I - - 28.62 29.08 29.64 30.20 30.76 31.31 31.87 32.43 32.99 33.55
42.16 42.98 43.81 44.64 45.46 46.29 47.12 47.94 48.77 49.00
28.70 29.27 29.83 30.39 30.95 31.52 32.08 32.64 33.21
42.03 42.85 43.68 44.50 45.33 46.15 46.98 47. SO 48.62 49.45
28.89 29.45 30.02 30.59 31.15 31. 72 32.29 32.85 33.42 33.98
41.90 42.73 43.55 44.37 45.19 46. 01 46.83 47.66 48.48 49.30
29.07 29.64 30.21 30.78 31.35 31.92 32.49 33.06 33.63 34.20
50.27
50.12 50.94 51. 76 52.59 63.41 M.23 55.05 55.87 M.69 57.62
34.n
61 62 G3 64 65 06 67 68 611 70 71 72 73 74 75 76
33.n
51 62 63 M 55
5& 57
liS
59 00
61 62 63 64 65 66 67 68 611 70
50.57 51. 40 52.23 63.06 63.89 M.72 55.55 00.37 57.20 1i8.03
34.11 1 50.42 51.25 34.1Sl 35.23 52.08 35.79 52.90 36.35 53. 73 36.91 M.55 37.47 55.38 38.03 00.21 38. liS 57.03 39.14 57.86
34.33 34.89 35.46 36.02 36. liS 37.15 37.71 38.27 38.83 39.40
ft.1.9210 52.74 63.57 M.39 55.22 00.04 00.86 57.611
34.55 35.12 35.68 36.25 36.82 37.38 37.95 38.62 39.08 39.65
71 72 73 74 75 76
liS. 86 59.69 00.62 61.35 62.18 63.01 63.84 64.66 65.49 06.32
39.70 40.26 40.82 41.38 41.94 42.50 43.06 43.62 44.18 44.74
liS. 611 00.51 60.34 61.17 61.99 62.82 63.65 64.47 65.30 66.13
39.96 40.52 41.08 41.65 42.21 42.77 43.34 43.90 44.46 46.02
liS. 51 59.34 60.16 60.99 61.81 62.63 &.46 64.28 65.11 65.93
40.21 40.78 41.35 41. 91 42.48 43.05 43.61 44.18 44.75 45.31
liS. 34 00.16 00.98 60. SO 61. 62 62.45 63.27 64.09 64.91 65.73
40.47 41.04 41.61 42.18 42.75 43.32 43.89 44.46 45.03 45.00
78 79 SO
1Sl.15
45.29 45.85 46.41 46.97 47.63 48.09 48.65 49.21 49.77 50.33
66.95 67.78 68.61 611.43 70.26 71.09 71.91 72.74 73.57 74.39
45.59 46.15 46.71 47.28 47.84 48.40 48.96 411.63 50.09 50.65
66.75 67. liS 68.40 lie. 23 70.05 70.87 71.70 72.52 73.35 74.17
45.88 46.45 47.01 47. liS 48.14 48.71 49.28 49.84 50.41 50.98
06.55 67.38 68.20 611.02 lie. 84 70.66 71.48 72.30 73.13 73.95
46.17 46.74 47.31 47.88 48.45 49.02 49.59 50.16 50.73 51.30
81 82 83 84 85 86 87 88 89 90
50.89 61.45 62.00 62.M 63.12 63.68 54.24 54.80 55.36 66.92
75.22 76.05 76.87
51.22 51. 78 52.34 62.90 63.47 54.03 M.OO 55.15 55.72 56.28
76.00 75.82 76. 64
51.54 62.11 62.68 63.24 63.81 54.37 54.94 55. 51 M.07 M.64
74. 77 75.00 76.41 77.23 78.06 78.88 79.70 SO. 52 81.34 82.16
51.87 62.44 63.01 63. liS M.15 54.72 55.29 55.86 56.43 67.00
gl 92 93 94 95 96 97 98 99 100
n
78 79 SO 81 82 83 84 85 86 87 88 89 90 gl 92 93 94 g5 96 97 gg 90 100
67.98 68.81 611.64 70.47 71.30 72.13 72.96 73.78 74.61 76.44 76.27
n,1O n,93
78.76 79.59 SO. 42 81.25 82.07 82.90
- - - - - 'I - - I
:
8 j
DeP·1 Lat.
A
66·.
.
n,70
78.63 79.35 SO. 18 81.01 81.83 82.66
--- --Dep. ~
n,47
78.29 79.12 79.94 SO. 76 81.00 82.41
35.34 35.91 36.48 37.05 37.62 38.19 38.76 39.33 39.90
n
--- - - - --- - - - -
Let.
De{).
..
~
71
Lat.
..
Dap. ~
Lat.
..
j
.!I
A
TABLE f.-TRAVERSE TABLE.
11 12 13 14 15 16 17 18 19 20
9.01 9.83 10.65 11.47 12.29 13.11 13. 93 14.74 15.56 16.38
6.31 6.88 7.46 8.03 8.60 9.18 9.75 10.32 10.90 11.47
8.98 9.80 10.62 11.43 12.25 13.07 13.88 14.70 15.52 16.33
6.35 6.93 7.60 8.08 8.00 9.23 9.81 10.39 10.97 11.54
8.96 9.77 10.58 11.40 12.21 13.03 13.84 14.65 15.47 16.28
6.39 6.97 7.55 8.13 8.71 9.29 9.87 10.45 11.03 11.61
8.93 9.74 10.55 11.36 12.17 12.99 13.80 14.61 15.42 16.23
6.43 7.01 7.60 8.18 8.76 9.35 9.93 10.52 11.10 11.68
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
17.20 18.02 18.84 19.66 20.48 21.30 22.12 22.94 23.76 24.57
12.05 12.62 13.19 13.77 14.34 14.91 15.49 16.06 16.63 17.21
17.15 17.97 18.78 19.60 20.42 21.23 22.05 22.87 23.68 24.60
12.12 12.70 13.27 13.85 14.43 15.01 15. 68 16.16 16.74 17.31
17.10 17.91 18.72 19.54 20.35 21.\7 21. 98 22.80 23.61 24.42
12.19 12.78 13.36 13.94 14.52 15.10 15.68 16.26 16.84 17.42
17.04 17.85 18.67 19.48 20.29 21.10 21. 91 22.72 23.54 24.35
12.27 12.85 13.44 14.O"J 14.61 15.19 15.77 16.36 16.94 17.53
21 22 23 21 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
25.39 26.21 27.03 27.85 28.67 29.49 30.31 31.13 31.95 32.77
17.78 18.35 18.93 19.50 20.08 20.65 21. 22 21.80 22.37 22.94
25.32 26.13 26.95 27.77 28.58 29.40 30.22 31. 03 31.85 32.67
17.89 18.47 19.05 19.62 20.20 20.78 21.35 21.93 22.51 23.09
25.24 26.05 26.87 27.68 28.49 29.31 30.12 30. 94 31.75 32.56
18.00 18.68 19.16 19.74 20.32 20.91 21.49 22.07 22.65 23.23
25.16 25.97 26.78 27.59 28.41 29.22 30.03 30.84 31.65 32.46
18.11. 18.70 19.28 19.86 20.45 21. 03 21. 62 22.20 22.79 23.37
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 60
33.59 34.40 35.22 36.04 36.86 37.68 38.60 39.32 40.14 40.96
23.52 24.09 24. 66 25.24 25.81 26.38 26.96 27.53 28.11 28.68
33.48 34.30 35.12 35.93 36.75 37.57 38.38 39.20 40.02 40.83
23.66 24. 24 24.82 25.39 25. 97 26.55 27.13 27.70 28.28 28.86
33.38 34.19 36.01 35.82 36.64 37.45 38.26 39.08 39.89 4Q.71
23.81 24.39 24. 97 25.55 26.13 26.71 27.29 27.87 28.45 29.04
33.27 34.09 34.90 35.71 36.52 37.33 38.14 38.96 39.77 40.58
23.95
41 42 43 44 45 46 47 48 49 50
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
78
24.54 25.12 25.71 26.29 26.g8 27.46 28.04 28.63 29.21
Lat.
TABLE
i ~ 51 52 53
54
55 56 57 58 59
60
61 62 63 64 65 66 01 68 69 70
Lat.
Dep.
41. 78
29.25 29.83 30.40 30.97 31.55 32.12 32.69
43.42 44.23 45.05 45.87 46.69 47.51 48.33 49.15
49.97 50.79 51.61 52.43 53.24
54.06 54.88 55.70 56.52 57.34
71 72 73 74 75 76 77 78 79 SO
58.16 58.98 59. SO 60.62 61. 44 62.26 63.07
81 82
66.35 67.17 67.99 68.81
83 84 85 86 87
88 89 00
91 92
93 9t 95 96 'in 98 99 100
35~0.
35°.
42.60
63.89 64.71 65.53
69.63
70.45 71.27 72.09 72.00 73.72 74.54 75.36 76.18 77.00 77.82 78.64 79.46 SO. 28 81.10 81.92
~.-TIlJ.VBRSE
~ 41. 65 42.47 43.28 44.10
35J.i".
~
Dep.
33.84 34.41
45.73 46.55 47.37 48.18 49.00
29.43 30.01 30.59 31.17 31. 74 32.32 32.90 33.47 34.05 34.63
34.99 35.56 36.14 36.71 37.28 37.86 38.43 39.00 39.58 40.15
49.82 50.63 51. 4.5 52.27 53.08 53.00 54.71 55.53 56.35 57.16
35.21 35.78 36.36 36.9t 37.51 38.09 38.67 39.25 39.82 40.40
40.72 41.30 41. 87
57.98 58. SO 59.61
33.27
42.44 43.02 43.59 44.17 44.74 45.31 45.89
44.92
60.43
61.25 62.06
62.88 63.70 64.51
65.33
46.46 47.03 47.61 48.18 48.75 49.33 49.00 50.47 51.05 51.62
66.15 66.96 67.78
52.20
74.31 75.13 75.95 76.76 77.58 78.40 79.21 SO. 03 SO. 85 81.66
52.77 53.34 53.92
54.49 55.06 55.64 56.21 56.78 57.36
68.60 69.41 70.23 71.05 71.86 72.68 73.50
TABLE.
41. 52
42.33
43.15 43.96 44.78 45.59 46.40 47.22 48.03 48.85
I 49.66 50.48 51.29 52.10 52.92 53.73
Dep. 29.62 30.20 30.78 31.36 31.94 32.52 33.10 33.68 34.26 34.84 35.42 36.00 36.58 37.16 37.75
I
~o.
I~ 41.39
42.20 43.01 43.82 44.64 45.45 46.26 47.97 47.88 48.69 49.51 50.32 51.13 51.94 52.75 53.56
54.55
38.33 38.91
55.36 56.17 66.99
39.49 40.07 40.65
40.98 41.55 42.13 42.71 43.29 43.86 44.44 45.02 45.59 46.17
57. SO 58.62 59.43 60.24 61.06 61.87 62.69 63.50 64.32 65.13
41.23 41.81 42.39 42.97 43.55 44.13 44.71 45.29 45.88 46.46
57.62 58.43 59.24
46.75 47.33 47.00 48.48 49.06 49.63 50.21 50.79 51.37 51. 94
65.94 66.76 01.57 68.39
47.04 47.62
65.74
52.52 53.10 53.67 64.25 54.83 55.41
74.08 74.00 75.71 76.53 77. 34 78.16 78.97 79.78
55.98
56.56
69.20 70.01 70.83 71. 64 72.46 73.27
57.14
SO. 60
57.71
81.41
79
48.20 48.78 49.36 49.9t 50.52 51.10 51. 68 52.26 52.84 53.42
64.01 64.59 65.17 65.75 56.33 56.91 57.49 58.97
54.38 55.19 66.00 56.81
60.06
60.87 61.68 62.49 63.30 64.11 64.93
66.55 67.36 68.17
68.98 69. SO
Del'. 29. SO 30.38 30.97 31.55 32.13 32.72 33.30
33.89
i ~ 51 52 53
54 55 56 57 58 59
34.47 35.05
60
35.64 36.22 36.81 37.39 37.98 38.56 39.14 39.73 40.31 40.00
61 62 63 64 65 66 67 68 69 70
41.48 42.07 42.65 43.23 43.82 44.40 44.99 45.57 46.16 46.74
71 72 73
47.32 47.91 48.49 49.08 49.66 50.25
70.61 71.42 72.23 73.04
50.83
73.85 74.66 75.48 76.29 77.10 77.91 78.72 79.53 SO. 35 81.16
53.17 53.75 54.34
51.41 52.00' 52.58.
64.92
55.50 66.09 66.67 67.26 67.84 58.42
74
75 76 77 78 79
SO 81 82
83 84 85
SO
87
88 89 00 91
92 93
94 95
96 97 98 99 100
TJ.BLE 4.-TaJ.VBUIi: TJ.BLE. 36'.
'='
~o.
~
36~·.
10
J - - - - -----Lat.
I 2
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26
27
28 29 30 81
32
33 34 36 36 37 38 39 40
41 42 43 44
46 46 47 48 49 6Q
--
i A
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
------
..
'='
G"
I Dep.
J
I-
0.81 1.62 2.43 3.24 4.05 4.85 6.66 8. 47 7.28 8.09
0.59 1.18 1.76 2.35 2.94 3.53 4.11 4.70 5.29 6.88
0.81 1.61 2.42 3.23 4.03 4.84 6.05 6.45 7.26 1.06
0.59 1.18 1.77 2.37 2.96 3.55 4.14 4.73 6.32 6.91
0.80 1.61 2.41 3.22 4.02 4.82 5.63 6.43 7.23 8.04
0.59 1.19 1. 78 2.38 2.97 8.67 4.16 4.76 6.35 6.95
0.80 1.60 2.40 3.21 4.01 4.81 6.61 6.41 7.21 8.01
0.60 1.20 1. 79 2.39 2.99 3.59 4.19 4.79 6.38 6.98
4 5 6 7 8 9 10
1.90 9.71 10.62 11.33 12.14 12.94 13.75 14.66 16.37 16.18
6.47 7.05 7.64 8.23 8.82 9.40 9.99 10.58 11.17 11.76
8.87 9.68 10.48 11.29 12.10 12.90 13.71 14.62 15.32 16.13
6.60 7.10 7.69 8.28 8.87 9.46 10.05 10.64 11.23 11.83
8.84 9.05 10.45 11.25 12.06 12.86 13.67 14.47 15.27 16.~
6.64 7.14 7.73 8.33 8.92 9.62 10.11 10.71 11.30 11.90
8.81 9.62 10.42 11.22 12.02 12.82 13.62 14.42 15.22 16.03
6.58 7.18 7.78 8.38 8.97 9.57 10.17 10.77 11.37 11.97
11 12 13 14 15 16 17 18 19 20
16.99 17.80 18.61 19.42 20.23 21.03 21.84 22.05 23.46 24.27
12.34 12.93 13.52 14.11 14.69 15.28 16.87 16. 46 17.05 17.63
UI.94 17.74 18.65 19.35 20.16 20.97 21.77 22.58 23.39 24.19
12.42 13.01 13.60 14.19 14.78 15.37 16.97 16.66 17.15 17.74
16.88 17.68 18.49 19.29 20.10 20.90 21.70 22.51 23.31 24.12
12.49 13.09 13.68 14.28 14.87 16. 47 16. 06 16. 66 17.25 17.84
16.83 17.63 18.43 19.23 20.03 20.83 21.63 22.44 23.24 24.04
12.66 13.16 13.76 14.36 14.96 15.66 16.15 16.75 17.35 17.95
21 22' 23 24 25 26 27 28 29 30
2.5.~
18.22 18. 81 19.40 19.98 20.67 21.16 21.75 22.34 22.92 23.51
2.5.00 18.33 26.81 18.92 26.61 19.61 27.42 20.10 28.23 20.70 29.03 . 21.29 29.84 21.88 30.64 22.47 31.45 23.06 32.26 23.05
24.92 25.72 26. 53 27.33 28.13 28.94 29.74 30.65 31.35 32.15
18.44 19.03 19.63 20.22 20.82 21. 41 22.01 22.f>O ' 23.20 23.79
24.84 25.64
18.65 19.15 19.74 27.24 20.34 28.04 20.91 28.85 21.54 29.05 1 22.14 30.45 22.74 31.25 23.33 32.05 23.93
31 32 33 34 36 36 37 38 39 40
24.10 24.69 25. 27
33.06 33.87 34.68 36.48 36.29 37.10 37.90 88.71 39.62 40.32
32.00 33.76 34.57 35.37 36.H 30.98 37.78 38.59 39.39 40.19
24.39 24.98 25. 58 26.17 26.77 27.36 27.96 28.55 29.15 29.74
32.85 3.1.05 34.45 35.26 3U.0(\ 36.8li 37.66 38.40 39.26 40. 06
41 42 43
25.89 26.70 27.51 28.32 29.12 29.93 30.74 31.55 32.36 3.1.17 3.1.98 34.79 36.m 36.41 37.21 38.02 .38.83 39.64 40.45
25.86
2li.45 27.04 27.63 28.21 28.80 29.39
24.24 24.84 26. 43 26.02 26.61 27.20 27.79
ZR.38
28.97 29.67
--- - - - - - - - - Dep.
Lat. 64°.
Dep. ~
Lat.
..
-Dep.
26.44
24.53 25.1:1 25. 73 2\1.33 26.92 27.52 28.12 28.72 29.32 29.92
1 2
3
44
45 46 47 48
49 60
--- - - - - - -Lat.
33~·.
Dep.
Lat.
53~·.
..i
&:l
TABLE 4.-TRAVBB8E TABLE. 36°.
1::1
i
36~0.
361..4°.
!O
36"..4°.
1::1
to
10
Lat.
51, 52 53 64 55 56 57 58 59 60
41. 26 42.07 42.88 43.69 44.50 45.30 46.11 46.92 47.73 48.64
29.98 30.00 31.15 31. 74 32.33 32.92 33.50 34.09 34.68 35.27
41.13 41. 94 42.74 43.55 44.35 45.16 45.97 46.77 47.58 48.39
30.16 30.75 31.34 31.93 32.52 33.11 33.70 34.30 34.89 35.48
41.00 41.80 42.60 43.41 44.21 45.02 45.82 46.62 47.43 48.23
30.34 30.93 31.63 32.12 32.72 33.31 33.90 34.50 35.09 35.69
40.86 41.67 42.47 43.27 44.07 44 87 45.67 46.47 47.27 48.08
31.11 31.71 32.31 32.91 33.51 34.10 34.70 35.30 35.90
30.61
51 62 63 64 55 56 57 58 69 60
61 62 63 64 65 66 67 68 09 70
49.35 50.16 50.97 51.78 52.59 63.40 64.20 55.01 55.82 56.63
35.85 36.44 37.03 37.62 38.21 38.79 39.38 39.97 40.56 41.14
49.19 50.00 50.81 51.61 52.42 53.23 54.03 54.84 55.64 56.45
36.07 36.66 37.25 37.84 38.44 39.03 39.62 40.21 40.80 41.39
49.04 49.84 50.64 51.45 52.25 63.05 53.86 54.66 55.47 56.27
36.28 36.88 37.47 38.07 38.66 39.26 39.85 40.45 41.04 41.64
48.88 49.68 50.48 51. 28 52.08 62.88 63.68 54.49 55.29 56.09
36.50 37.10 37.69 38.29 38.89 39.49 40.09 40.69 41.28 41.88
61 62 63 64 65 00 67 68 69 70
71 72 73 74 75 76 77 78 79 80
57.44 68.25 59.06 59.87 50. fiB 61.49 62.29 63.10 63.91 64.72
41. 73 42.32 42.91 43.50 44.08 44.67 45.26 45.85 46.44 47.02
67.26 58.06 58.87 59.68 60.48 61.29 62.10 62.90 63.71 64.62
41. 98 42.57 43.17 43.76 44.35 44.94 45.53 46.12 46.71 4730
67.07 57.88 58.68 69.49 50.29 61.0If 61.90 62.70 63.50 64.31
42.23 42.83 43.42 44.02 44.61 45.21 45.80 46.40 46.99 47.59
56.89 57.69 58.49 69.29 60.09 60.90 61.70 62.50 63.30 64.10
42.48 43.08 43.68 44.28 44.87 45.47 46.07 46.67 47.27 47.87
71 72 73 74 75 76 77 78 79 80
81
110
65.63 66.34 67.15 67.96 68.77 69.58 70.38 71.19 72.00 72.81
47.61 48.20 48.79 49.37 49.96 50.55 51.14 5l.73 52.31 62.90
65.32 66.13 00.93 67.74 68.55 69.35 70.16 70.97 71. 77 72.58
47.90 48.49 49.08 49.67 50.26 50.85 51.44 52.04 52.63 63.22
65.11 65.92 66.72 67.62 68.33 69.13 69.94 70.74 71.54 72.35
48.18 48.78 49.37 49.97 50.00 51.15 51.75 52.34 62.94 63.63
64.90 65.70 60.50 67.31 68.11 68.91 69.71 70.51 71.31 72.11
48.46 49.06 49.66 50.26 50.86 51.46 52.05 52.65 63.25 63.85
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
73.62 74.43 75.24 76.05 76.86 77.67 78.47 79.28 80.09 80.90
63.49 64.08 64.66 55.25. 55.84 61;'43 57.02 57. f>O 58.19 58.78
73. 39 74.19 75.00 75.81 76.ft 77.42 78.23 79.03 79.84 80.64
63.81 64.40 54.99 55.58 56.17 56.77 57.36 57.95 58.54 69.13
73.15 73.96 74.76 75.00 76.37 77.17 77.97 78.78 79.58 80.39
64.13 54.72 55.82 65.91 66.51 57.10 67.70 58.29 58.89 119.48
72. 91 73.72 74.52 75.32 76.12 76.92 7772 78.62 79.32 80.13
54.45 55.05 55.64 56.24 56.84 07.44 58.04 58.64 69.23 69.83
91 92 93 94 95 96 97 98 99 100
Dep.
82 83 84 85 86 87 88 89
Lat.
.!l
A
Dep.
Dep.
- - - - - - --- - - - ---
Lat.
Dep. 64°.
4147~1()-(1
Lat.
Dep.
--- - - - - -
--- ------ --- - - - - -
- - --- ---
j
Lat.
"~
~
--
Dep.
Dep.
Lat.
Lat.
~.
63~·.
81
Dep.
Lat.
63)(°.
J .!l
A
TABLE 4.-TRA VERSE TABLE.
t1
~
37·.
FA
..
37~·.
[
t)
l"
--
Lat.
Dep.
Lat.
Dep.
Lat.
r;;
Dep.
I
--- --- ------ - - - - - - - - - - - - -
4 5 6 7 8 9 10
0.80 1.60 2.40 3.19 3.00 4.79 5.59 6.39 7.19 7.00
0.60 1.20 1.81 2.41 3.01 3.61 4.21 4.81 5.42 6.02
0.80 1.69 2.39 3.18 3.98 4.78 5.57 6.37 7.16 7.00
0.61 1.21 1.82 2.42 3.03 3.63 4.24 4.84 5.45 6.05
0.79 1.69 2.38 3.17 3.97 4.76 5. liS 6.35 7.14 7.93
0.61 1.22 1.83 2.44 3.04 3.65 4.26 4.87 5.48 6.09
0.79 1.58 2.37 3.16 3.95 4.74 5.53 6.33 7.12 7.91
0.61 1.22 1.84 2.45 3.06 3.67 4.29 4.90 5.51 6.12
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
8.78 9.58 10.38 11.18 11.98 12.78 13.58 14.38 15.17 15.97
6.62 7.22 7.82 8.43 9.03 9.63 10.23 10.83 11.43 12.04
8.76 9.M 10.35 11.14 11.94 12.74 13.53 14.33 15.12 15.92
6.66 7.26 7.87 8.47 9.08 9.68 10.29 10.90 11.50 12.11
8.73 9.52 10.31 11.11 11.90 12.69 13.49 14.28 15.07 15.87
6.70 7.31 7.91 8.52 9.13 9.74 10.35 10.96 11.57 12.18
8.70 9.49 10.28 11.07 11.86 12.65 13.44 14.23 15.02 15.81
6.73 7.35 7.00 8.57 9.18 9.80 10.41 11.02 11.63 12.24
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
16. 77 17.57 18.37 111.17 19.97 20.76 21.56 22.36 23.16 23.00
12.64 13.24 13. 84 14.44 15. 05 15. 65 16.25 16.85 17.45 18.05
16. 72 17.51 18.31 19.10 19.00 20.70 21.49 22.29 23.08 23.88
12.71 13.32 13.92 14.53 15.13 15.74 16.34 16.95 17.55 18.16
16.66 17.45 18.25 19.04 19.83 20.63 21. 42 22.21 23.01 23.80
12.78 13.39 14.00 14.61 15.22 15.83 16.44 17.05 17.65 18.26
16.60 17.40 18.19 18.98 19.77 20.56 21.35 22.14 22.93 23.72
12.86 13.47 14.08 14.69 15.31 15.92 16.53 17.14 17.75 18.37
21 22 23 24 25 26 27 28 29 30
81 32 33 34 36 36 37 38 39 40
24.76 25.56 26.35 27.15 27.95 28.75 29.M 30.35 31.15 31.95
18.66 19.26 19.86 20.46 21.00 21. 67 22.27 22.87 23.47 24.07
24.68 25.47 26.27 27.00 27.86 28.M 29.45 30.25 .31.04 31.84
IIf.76 19.37 19.97 20.58 21.19 21. 79 22.40 23.00 23.61 24.21
24.59 25.39 26.18 26.97 27.77 28.56 29.35 30.15 30.94 31.73
18.87 19.48 20.09 20.70 21. 31 . 21.92 22.52 23.13 23.74 24.35
24.51 25.30 25.09 26.88 27.67 28.46 29.26 30.05 30.84 31.63
18.98 19.59 20.20 20.82 21.43 22.04 22.65 23.26 23.88 24.49
31 32 33 34 35 36 37 38 39 40
41 42 43 44 46 46 47 48 49 60
32.74 33.54 34.34 35.14 35.94 36; 74 37.54 38.33 39.13 39.93
24.67 25.28 25.88 26.48 27.08 27.68 28.29 28.39 29.49 30.09
33:43 34.23 35.02 35.82 36.62 37.41 38.21 39.00 39.80
32.04
24.82 25. 42 26.03 26.63 27.24 27.84 28.45 29.05 29.66 30.26
32.63 33.32 34.11 34.91 35.70 36. 49 37.29 38.08 38.87 39.67
24.00 25. 57 26.18 26.79 27.39 28.00 28.61 29.22 29.83 30.44
32.42 33. 21 34.00 34.79 35.58 36.37 37.16 37.95 38.74 39.53
25.10 25. 71 26.33 26.94 27.55 28.16 28.77 29.39 30.00 30.61
41 42 43 44 45 46 47 48 49 50
I 2
3
;
Dep.
Lat.
t1
37',4·.
--- - - - --- --- - - - - - - I - --- - -
j A
Dep.
Lat. 63·.
Dep.
Lat.
112'4 0 •
Dep.
Lat.
52W.
82
Dep.
Lat.
~o.
!
~
.!I
A
TABLE •• ~TRAVER8E TABLE.
.~
37°.
I
37~0.
37J4°.
37',4°.
\::I
~
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep:
"~
40.73 41.53 42.33 43.13 43.92 44.72 45.52 46.32 47.12 47.92
30.69 31.29 31.90 32.50 33.10 33.70 34.30 34.91 35.51 36.11
40.60 41.39 42.19 42.98 43.78 44.58 45.37 40.17 46.96 47.76
30.87 31.48 32.08 32.69 33.29 33.90 24.50 35.11 35.71 36.32
40.46 41.25 42.05 42.84 43.63 44.43 45.2'J 46.01 46.81 47.60
31.05 31.66 32.26 32.87 33.48 24.09 24.70 35.31 35.92 36.53
40.33 41.12 41.91 42.70 43.49 44.28 45.07 45.86 46.65 47.44
31.22 31.84 32.45 33.06 33.67 24.28 24.90 35.51 36.12 36.73
53 54 55 56 57 58 59 00
61 . 62 63 64 65 66 67 68 69 70
48.72 49.52 50.31 51.11 51.91 52.71 53.51 54.31 55.11 55.90
36.71 37.31 37.91 38.52 39.12 39.72 40.32 40.92 41. 53 42.13
48.56 49.35 50.15 50.94 51.74 52.54 53.33 54.13 54.92 55.72
36.112 37.53 38.13 38.74 39.34 39.95 40.55. 41.16 41.77 42.37
48.39 49.19 49.98 50.77 51.57 52.36 53.15 5.1.95 54.74 55.53
37.13 37.74 38.35 38.96 39.57 40.18 40.79 41.40 42.00 42.61
48.23 49.02 49.81 50.60 51. 39 52.19 52.98 53.77 54.56 55.35
37.35 37.96 38.67 39.18 39.79 40.41 41.02 41.63 42.24 42.86
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
56.70 57.50 58.30 59.10 59.90 60.70 61.49 62.29 63.09 63.89
42.73 43.33 43.93 44.53 45.14 45.74 46.34 46.94 47.54 48.15
56.52 57.31 58.11 58.90 59.70 60.50 61.29 62.09 62.88 63.68
42.98 43.58 44.19 44.79 45.40 46.00 46.61 47.21 47.82 48.42
56.33 67.12 57.91 58.71 59.50 60.29 61.09 61.88 62.67 63.47
43.22 43.83 44.44 45.05 45.66 46.27 46.87 47.48 48.09 48.70
56.14 56.93 57.72 58.51 59.30 00.09 00.88 61.67 62.46 63.26
43.47 44.08 44.69 45.30 45.92 46.53 47.14 47.75 48.37 48.98
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
64.69 65.49 66.29 67.09 67.88 68.68 69.48 70.28 71.08 71.88
48.75 49.35 49.95 50.55 51.15 51.76 52.36 52.96 53.56 54.16
64.48 65.27 66.07 66.86 67.66 68.46 69.25 70.05 70.84 71.64
49.03 49.63 50.24 50.84 51. 45 52.06 52.66 53.27 5.,.87 54.48
64.26 65.05 65.85 66.64 67.44 68.23 59.02 69.82 70.61 71.40
49.31 49.92 50.53 51.14 51.74 52.35 52.96 53.57 54.18 54.79
64.05 64.84 65.63 66.42 67.21 68.00 68.79 69.58 70.37 71.16
49.59 50.20 50.81 51. 43 52.04 52.65 53.26 53.88 54.49 55.10
in
91
72.68 73.47 74.27 75.07 75.87 76.67 77.47 78.27 79.06 79.86
54.77 55.37 55.97 56.67 57.17 57.77 58.38 58.98 59.58 00.18
72.44 73.23 74.03 74.82 75.62 76.42 77.21 78.01 78.80 79.00
55.08 55.69 56.29 56.90 57.50 58.11 58.71 59.32 59.92 00.53
72.20 72.99 73.78 74.58 75.37 76.16 76.96 77.75 78.54 79.34
55.40 56.01 56.61 57.22 57.83 58.44 59.05 69.66 60.27 00.88
71.95 72.74 73.53 74.32 75.12 ·75.91 76.70 77.49 78.28 79.07
55.71 56.32 66.94 57.55 58.16 58.77 59.39 60.00 60.61 61.22
91 92 93 94 95 96 97 98 99 100
~
Lat.
51 52 53 54 55 56 57 58 59 60
112 93 94 95
96
97 98 99 100
61
62
82 83 84 85 86 87 88 89 90
- - - - - - - - - - - - - - --- - - - - - - - - - - Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 8
J
.!l A
I
53°,
52~0.
5~IO.
83
52J{°.
,
iis
,
TABLE i.-TRAVERSE TABLE. t::I
~
38~0.
38°.
Lat. Dep. ~ - -------
,
, ;
I 2 3 4 6 6 7 8 9 10
0.79 1.58 2.36 3.15 3.94 4.73 6.52 6.30 7.09 7.88
0.62 1.23 1.85 2.46 3.08 3.69 4.31 4.93
11 12 13 14 15 16 17 18 19 20
8.67 9.46 10.24 11.03 11.82 12.61 13.40 14.18
Lat.
Dep.
Lat.
t::I
38~0.
i I
Dep. I Lat.
Dep.
i'" !i
--- --- --- ---I --- --- - -
6.16
0.79 1.57 2.36 3.14 3.93 4.71 5.50 6.28 7.07 7.85
0.62 1.24 1.86 2.48 3.10 3.71 4.33 4.95 5.57 6.19
0.78 1.57 2.35 3.13 3.91 4.70 6.48 6.26 7.04 7.83
8.64 9.42 10.21 10.99 11.78 12.57 13.35 14.14 14.92 15.71
6.81 7.43 8.05 8.67 9.29 9.91 10.52 11.14 11.76 12.38
8.61 9.39 10.17 10.96 11.74 12.52 13.30 14.09 14.87 15.65
6.~
I
38~0.
0.78 1.56 2.34 3.12 3.90 4.68 6.46 6.24 7.02 7.80
0.63 1. 21; 1.88 2.50 3.13 3.76 4.38 5.01 5.63 6.26
1 2 3 4 6 6 7 8 9 10
6.85 7.47 8.09 8.72 9.34 9.96 10.58 11.21 11.83 12.45
8.58 9.36 10.14 10.92 11. 70 12.48 13.26 14.04 14.82 15.60
6.89 7.51 8.14 8.76 9.39 10.01 10.64 11.27 11.89 12.52
11 12 13 14 15 16 17 18 19 20
0.62 ' 1.25 1.87 2.49 3.11 3.74 4.36 4.98 5.60 6.23
15.76
6.77 7.39 8.00 8.62 9.23 9.85 10.47 11.08 11.70 12.31
21 22 23 24 25 26 27 28 29 30
16.55 17.34 18.12 18.91 19.70 20.49 21. 28 22.06 22.85 23.64
12.93 13.64 14.16 14.78 15.39 16.0l 16.62 17.24 17.85 18.47
16.49 17.28 18.06 18.85 19.63 20.42 21. 20 21.99 22.77 23.56
13.00 13.62 14.24 14.86 15.48 16.10 16.72 17.33 17.95 18.67
16.43 17.22 18.00 18.78 19.57 20.35 21.13 21. 91 22.70 23.48
13.07 13.70 14.32 14.94 15.56 16.19 16.81 17.43 18.05 18.68
16.38 17.16 17.94 18.72 19.50 20.28 21.06 21.84 22.62 23.40
13.14 13.77 14.40 15.02 15. C>5 16.27 16.90 17.53 18.16 18.78
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
24.43 26.22 26.00 2fl.79 27.58 28.37 29.16 29.94 30.73 31.52
19.09 19.70 20.32 20.93 21.55 22.16 22.78 2.1.40 24.0l 24.63
24.34 26.13 25.92 26.70 27.49 28.27 29.06 29.84 30.63 31.41
19.19 19.81 20.43 21.05 21. 67 22.29 22.91 23.53 24.14 24.76
24.26 26.04 26.83 26.61 27.39 28.17 28.96 29.74 30.52 3l.30
19.30 19.92 20.64 21.17 21. 79 22.41 23.03 23.66 24.28 24.90
24.18 24.96 26.74 26.52 27.30 28.08 28.86 29.64 30.42 31.20
19.40 20.03 20.66 21.28 21. 91 22.53 23.16 2:1.79 24.41 25.04
31 32 33 34 35 36 37 38 39 40
41
32.31 33.10 3.3.88 34.67 35.46 36.25 37.04 37.82 3!I.61 39.40
32.20 32.98 33.77 34.55 35.34 36.12 36.91 37.70 38.4.'! 39.27
26.38 26.00 26.62 27.24 27.86 28.48 29.10 29.72 30.34 30.95
32.09 32.87 33.65 34.43 35.22 36.00 36.78 37.57 38.35 39.13
25.52 26.15 26.77 27.39 28.01 28.64 29.26 29.88 I 30.,,0 I 31. 13 1
31.98 32.76 33.64 34.31 35.09 35.87 36.65 37.43 38.21 38.99
25.66 26.29 26.91 27.64 28.17 28.79 29.42 30.04 30.67 31.30
Lat.
Dep.
42 43
44 45 46 47 48 49 50
--
J .!I
A
14.97
26.24 25.86 26.47 27.09 27.70 28.32 28.94 29.55 30.17 3(). 78 - - ---
Dep. 62°.
Lat.
I
41
42 43
44
45 46 47 48 4!1 50
- - - - - -I - - - --- - -
Dep·l~ ! 51~io.
I 84
Dep.
51~0.
I I I
Lat.
5U.o.
8
~ .l!I
A
'!'ABLE f.-TRAVERSE TABLE. t:I Ir
38°.
38)4°.
381,4°.
38J.i°.
g t)
SO
t:I
IE
it
Dep.
Lat.
Lat.
Dep.
Lat.
Dep.
- - --- - - --- --- --- ---
"1i Lat. Dep. - - - - - --
31. 40 32.01 32.53 33.25 33.86 34.48 35.09 35.71 36.32 36.94
40.05 40.84 41. 62 42.41 43.19 43.98 44.76 45.55 46.33 47.12
31. 57 32.19 32.81 33.43 34.05 34.67 35.29 35.91 36.53 37.15
39.91 40.70 41. 48 42.26 43.04 43.83 44.61 45.39 46.17 46.00
31. 75 32.37 32.99 33.62 34.24 34.86 35.48 36.11 36.73 37.35
119.77
00
40.19 40.98 41. 76 42.55 43.34 44.13 44.92 45.70 46.49 47.28
40.55 41. 33 42.11 42.89 43.67 «.45 45. 23 46.01 46.79
31.92 32.55 33.17 33.80 34.43 35.05 35. liB 36.30 36.93 37.56
51 62 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 liB 69 70
48.07 48.86 49.64 SO. 43 51. 22 62.01 62.80 53.58 54.37 505.16
37.56 38.17 38.79 39.40 40.02 40.63 41.25 41.86 42.48 43.10
47.90 48.69 49.47 SO. 26 51.05 51.83 52.62 53.40 54.19 54.97
37.76 38.38 39.00 39.62 40.24 40.86 41. 48 42.10 42.72 43.34
47.74 48.62 49.30 SO. 00 SO. 87 51. 65 52.43 53.22 54.00 54.78
37.97 38.60 39.22 39.84 40.46 41.09 41. 71 42.33 42.95 43.58
47.57 48.35 49.13 49.91 SO. 69 51. 47 52.25 53.03 53.81 54.59
38.18 38.81 39.43 40.06 40.69 41.31 41. 94 42.56 43.19 43.81
61 62 53 64 65 66 67 liB 69 70
71 72 73 74 75 76 77 78 79 80
55.95 56.74 57.62 88.31 li9.10 li9.89 60. liB 61. 46 62.25 63.04
43.71 44.33 44.94 45.66 46.17 46.79 47.41 48.02 48.64 49.25
55.76 66.54 .'17.33 58.11 58.90 li9.1iB 60.47 61.25 62.04 62.83
43.96 44.57 45.19 45.81 46.43 47.05 47.67 48.29 48.91 49.53
505.57 66.35 57.13 57.91 58.70 li9.48 60.26 61. 04 61.83 62.61
44.20 44.82 45. 44 46.07 46.69 47.31 47.93 48.56 49.18 49.80
55.37 66.15 66.93 57.71 58.49 li9.27 60.05 60.83 61. 61 62.39
44.44 45.07 45.69 46.32 46.94 47.57 48.20 48.82 49.45 SO. 07
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
63.83 64.62 55.40 66.19 66.98 67.77 liB. 56 69.34 70.13 70.92
49.87 SO. 48 51.10 51.72 62.33 62.95 ' 53.56 54.18 54.79 55. 41
63.61 64.40 66.18 55.97 66.75 67.54 68.32 00.11 00.89 70.68
SO. 1.'1 SO. 77 51. 38 62.00 52.62 53. 24 53.86 54.48 55.10 55.72
63.39 64.17 64.96 66. 74 66.62 67.30 liB. 09 68.87 69.65 70.43
lIO.42 .'11.05 51. 67 62.29 62.91 58.54 54.16 54.78 55.40 66.03
63.17 63.95 64.73 66. 51 66.29 /)1.07 /)1.85 68.63 69.41 70.19
SO. 70 51.33 51.95 62.58 53.20 53.83 54.46 55.08 55.71 66.33
81 82 83 S4 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
71.71 72.50 73.29 74.07 74.86 75. 65 76.44 77.23 78.01 78.80
66.03 71.46 66. £>4 72.25 57.26 73.03 .'17.87 ! 73.82 58.49 I 74.61 li9.10 ! 75.39 li9.72 76.18 60.33 ; 76.96 60.95 77. 75 61.57 78.53
66.34 66.96 57.58 58.19 58.81 li9.43 60.05 so. 67 61. 29 61.91
71.22 72.00 72.78 73.57 74.35 75.13 75.91 76. 70 77.48 78.26
66.65 57.27 57.89 58.62 li9.14 li9.76 60.38 61.01 61.63 62.25
70.97 71.75 72.53 73.31 74.09 74. 87 75. 65 76. 43 77. 21 77.99
66.96 57.58 58.21 JIll. 84 li9.46 60.09 60.71 61.34 61.97 62.58
91 92 93 94 95 96 97 98 99 100
51 62 53 54
55 56 57 58 59
I
- - - - - --- - - - --- - - - - - - - - - ---
!l
Dep.
Lat.
Dep.
Lat.
Dtp.
~
~
i2 0 •
51J.i°.
51W·
85
Dep.
Lat.
I
Lat.
.51~0.
-..,oJ ~
~
A
TABLE 4.-TBA.VERSE TA.BLE. 39·.
t:;
I!
39}i°.
0;-
St! ~
Dep.
Lat.
Lat.
I 2 3 4 5 6 7 8 9 10
0.78 1.05 2.33 3.11 3.89 4.66 5.44 6.22 6.99 7.77
0.63 1.26 1.89 2.52 3.15 3.78 4.41 5.03 5.66 6.29
0.77 1.05 2.32 3.10 3.87 4.65 5.42 0.20 0.97 7.14
11 12 13 14 15 16 17 18 19 20
8.05 9.33 10.10 10.88 11.66 12.43 13.21 13.99 14.77 15.54
6.92 7.05 8.18 8.81 9.44 10.07 10.70 11.33 11.00 12.69
21 22
16.32 17.10
13.22 13.85 14.47 15.10 15.73 16.36 16.99
17.87
0.63 1.27 1.90 2.53 3.16
t!
- - -"!"
4.43 6.00 5.69 6.33
1 2 3 4 5 6 7 8 9 10
8.52 9.29 10.07 10.84 11.62 12.39 13.16 13.94 14.71 15.49
6.96 7.59 8.23 8.86 9.49 10.12 10.76 11.39 12.02 12.65
8.49 9.26 10.03 10.80 11.57 12.35 13.12 13.89 14.66 15.43
7.00 7.63 8.27 8.91 9.54 10.18 10.81 11.45 12.09 12. 72
8.46 9.23 9.99 10.76 1\.53 12.30 13.07 13.84 14.61 15.38
7.03 7.67 8.31 8.95 9.59 10.23 10.87 11.51 12.15 12. 79
11 12 13 14 15 16 17 18 19 20
18.25 18.88
16.26 17.04 17.81 18.59 19.36 20.13 20.91 21.68 22.46 23.23
13.29 13.92 14.05 15.18 15.82 16. 45 17.08 17.72 18.35 18.98
16. 20 16.98 17.75 18.52 19.29 20.06 20.83 2\.61 22.38 23.15
13.36 13.99 14.63 15.27 15.90 16.54 17.17 17.81 18.45 19.08
1ft. 15 16.91 17.68 18.45 19.22 19.99 20.76 21.53 22.30 23.07
13.43 14.07 14.71 15.35 15.99 16.63 17.26 17.90 18.54 19.18
24 25 26 27 28 29 30
2C.Ol
24.78 25.05 26.33 27.10 27.88 28.65 29.43 30.20 30.98
19.61 20.25 20.88 21.51 22.14 22.78 23.41 24.04 24.68 26.31
23.92 24.69 25.46 26.24 27.01 27.78 28.05 29.32 30.09 30.86
19.72 20.35 20.99 21.63 22.26 22.90 23.53 24.17 24.81 25.44
23.83 24.60 25.37 26.14 26.91 27.68 28.45 29.22 29.98 30.75
19.82 20.46 21.10 21. 74 22.38 23.02 23.66 24.30 24.94 25.68
31 32 33 34 35 36 37 38 39 40
3\.64 32. 41 33.18 33.95 34.72 35.49
26.08 26.72 27.35 27.99 28. Co2 29.26 29.90 30.53 31.17
~22
31.~
31.62 32.29 33.00 33.83 34. flO 35.37 36.14 36.00 37.67 38.44
27.50 28.14 28.77 29.41 30.05 3O.C9 31.33 31. 97
41 42 43 44 45 46 47 48 49 50
Lat.
Dep.
Lat.
3.~
35 36 37 38 39 40
19.51 20.14 20.77 21.40 22.03 22.66 23.28 23.91 24.54 25.17
41 42 43 44 45 46 47 48 49 50
31.86 32.64 33.42 34.19 34.97 35.75 36.53 37.30 38.08 38.86
26.43 27.06 27.69 28.32 28.95 29.58 30.21 30.84 31.47
31.76 32.52 33.30 34.07 34.85 35.62 36.40 37.17 37.95 38.72
25.94 26.67 27.21 27.84 28. 47 29.10 29.74 30.37 31.00 31.64
Dep.
Lat.
Dep.
Lat.
A
.~
0.64 1.28 1.92 2.56 3.20 3.84 4.48 6.12 5.75 6.39
24.09 24. R7 25.65 26. 42 27.20 27.98 28.75 29.53 30.31 3\.09
8
Dep.
0.77 1.54 2.31 3.08 3.84 4.61 5.38 6.15' 6.92 7.69
31 32 33
~
Lat.
0.64 1.27 1.91 2.54 3.18 3.82 4.45 5.09 5.72 6.36
18.65 19.43 20.21 20.98 2\' 76 22.54 23.31
1-
Dep.
3914··
0.77 1.54 2.31 3.09 3.86 4.63 5.40 6.17 6.94 7.72
24 25 26' 27 28 29 30
34
Lat.
1
- - --- - - - ---
- - --- ---
23
Dep.
I
39Jio.
17.62
25.~
36.27 37.04 37.81
38.58
26.86
21 22
23
------ ------ --- --- --- - - - - ~
61·. t
...
Dep.
8t!
!l
5OJi••
~.
is
fABLE f.-TBAnRSI TABLI. -
I
39°.
t::1
iO
f
Lat.
Dep.
39)4°.
Lat.
Dep.
39l1io.
I
- - --- --- - - - - 51
32.ZT
Lat.
DI\P.
Lat.
Dep.
32.44 33.08 33.71 34.35 34.98 36.62 36.26 36.89 31.53 38.16
39.21 39.98 40.76 41.52 42.29
32.61
39.49
41.04 41.82 42.59 43.37 44.14 44.91 45.69 46.46
32.90 33.53 34.17 34.80 35.43 36.00 36.70 37.33 37.96
39.35 40.12 40.90 41.67 42.44 43.21 43.98 44.75 45.53 46.30
47.41 48.18 48.96 49.74 50.51 51.29 52.07 52.85 53.62 M.40
38.39 39.02 39.65 40.28 40.91 41.M 42.16 42.79 43.42 44.05
47.24 48.01 48.79 49.56 50.34 51.11 51.88 52.66 53.43 M.21
38.60 38.23 38.86 40.49 41. III 41. 70 42.39 43.02 43.66 44.29
47.07 47.84 48.61 49.38 50.16 50.93 51.70 52.47 53.24 M.01
71 72 73 74 75 76 77 78 79 80
55.18 55.95 56.73 57.61
58.29 59.00 59.84 60.62 61.39 62.17
44.68 45.31 45.94 46.67 47.20 47.83 48.46 49.09 49.72 50.35
M.98 55.76 56.53 57.31 68.08 68.85 59.63 50.40 61.18 61.95
44.92 45.55 46.19 46.82 47.45 48.09 48.72 49.35 49.98 50.62
81 82 83 84 85 86 87 88 89 90
62.95 63.73 64.50 65.28 66.00 66.83 67.61 68.39 139.17 69.94
50.97 61.60 52.23 52.86 63.49 54.12 M.75 55.38 56.01 56.64
62.73 83.m
91 92 93 94 95 96 97 98 99 100
70.72 71.50
61 62 63 64 f>5 66
67 68 G9 70
57.ZT
4O.ZT
04.ZT
65.05 65.82 66.60 67.37 68.15 /18.92 139.70
51
33.25
52
43.82 44.59 45.36 46.13
33.89 34.53 35.17 36.81 36.45 31.09 37.73 38.37
38.80 38.44 40.07 40.71 41.35 41.98 42.62 43.25 43.89 44.53
46.90 47.67 48.44 49.21 49.97 50.74 61. 51 52.28 53.05 53.82
38.01 38.65 40.28 40.11:1 41.56 42.20 42.84 43.48 44.12 44.76
61 62' 63 64 65 66 67 68 69 70
54.79 55.56 56.33 57.10 57.87 68.64 59.42 60.19 60.96 61.73
45.16 45.80 46.43 47.07 47.71 48.34 48.98 49.61 50.25 50.89
M.59 55.36 56.13 50.89 57.60 liS. 43 59.20 59.97 60.74 61.51
45.40 46.04 46.68 47.32 47.96 48.60 49.24 49.88 m.52 51.16
71 72 73 74 76 76 77 78 79 80
61.25 51.88 52. 51 63.15 63.78 M.41 55.05 55.68 66.31 56.94
62.50 114.04 114.82 65.59 66.36 67.13 67.90 68.67 139.45
51.52 52.10 52.79 63.43 M.07 M.70 55.34 55.f11 56.61 51.25
,62.28 63.04 63.81 64.68 65.36 66.12 66.89 67.66 68.43 69.20
61.79 52.43 63.07 53.71 M.35 54.99 55.63 66.91 57.55
81 82 83 84 85 86 87 88 89 90
57.88 68.52 59.10 59.79 60.43 61.06 61.70 62.34 62.97 63.61
69.96 70.73 71.50 73.04 73.81 74.68 75.36 76.12 76.88
58.19 58.83 59.47 60.11 60.75 61.39 62.03 62.67 63.30 63.94
91 92 93 94 95 96 97 98, 99 100
Lat.
.o,p.
Lat.
Ii
63.ZT
73.05 73.83 74.61 75.38 76.10 76.94 77.71
57.00 68.53 59.16 59.79 60.41 61.04 61.67 62.30 62.93
70.47 71.24 72.02 72.79 73.51 74.34 75.12 75.89 76.66 77.44
57. liS liS. 21 58.84 59.47 60.11 60.74 61.37 62.01 62.114
63.ZT
70.22 70.99 71.76 72.53 73.30 74.08 74.85 75.62 76.39 77.16
Dep.
Lat.
Dep.
Lat.
Dep.
72.ZT
J
--- - - --- --- --
32.10 32.72 33.35 33.98 34.01 35.24 35.87 36.50 37.13 37.76
53 M 55 56 67 68 59 60
t:;)
10
39.63 40.41 41.19 41.97 42.74 43.52 44.30 45.07 45.85 46.63
52
~o.
43.06
72.ZT
66.ZT
53 M 55 56 57 68 59 60
- - --- - - - --- - - - - - - --- --- --- -. ~ c
~
15
51°.
5()I.4 0 •
~
~o.
._.
..
Iii 4l
~
TABL£ '.-'l'RAVEBS£ 1'ABL2. 40 0•
II I g g Dep. Dep. Lat. Dep. Lat. Lat. Dep. Lat. li ~ ------ --- --- - - - --- - - - - - - - - '='
ID
4O~o.
4O~o.
'='
40"4°·
!
ID
-~
;
, ,
1 2 3 4 5 6 7 8 9 10
0.77 1.53 2.30 3.06 3.83 4.60 5.36 6.13 6.89 7.66
0.64 1.29 1.93 2.57 3.21 3.86 4. SO 5.14 5.79 6.43
0.76 1.53 2.29 3.05 3.82 4.58 5.34 6.11 6.87 7.63
0.65 1.29 1.94 2.58 3.23 3.88 4.52 5.17 5.82 6.46
0.76 1.52 2.28 3.04 3.80 4.56 5.32 6.08 6.84 7.60
0.65 1.30 1.95 2.60 3.25 3.90 4.55 5.20 5.85 6.49
0.76 1.52 2.27 3.03 3.79 4.55 5.30 6.06 6.82 7.58
0.65 1.31 1.96 2.61 3.26 3. 92 4.57 5.22 5.87 6.53
3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
8.43 9.19 9.96 10.72 11.49 12. 26 13.02 13.79 14. 55 15.32
7.07 7.71 8.36 9.00 9.64 10.28 10.93 11.57 12.21 12.86
8.40 9.16 9.92 10.69 11.45 12. 21 12.97 13.74 14.50 15.26
7.11 7.75 8.40 9.05 9.69 10.34 10.98 11.63 12.28 12.92
8.36 9.12 9.89 10.65 11.41 12.17 12.93 13.69 14.45 15.21
7.14 1.79 8.44 9.09 9.74 10.39 11.04 11.69 12.34 12.99
8.33 9.09 9.85 10.61 11.36 12.12 12.88 13.64 14.39 15.15
7.18 7.83 8.49 9.14 9.i9 10.44 11.10 11.75 12.40 13.06
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
16. 09 16.85 17.62 18.39 19.15 19.92 20.68 21.45 22.22 22.98
13. SO 14.14 14.78 15.43 16.Oi 16.71 17.36 18.00 18.64 19.28
16.03 16.79 17.55 18.32 19.08 20.61 21.37 22.13 22.90
13.57 14.21 14.86 15.51 16.15 16.80 17.45 18.09 18.74 19.38
15.97 16.73 17.49 18.25 19.01 19.77 20.53 21. 29 22.05 22.81
13.64 14.29 14.94 15.59 16.24 16.89 17.54 18.18 18.83 19.48
15.91 16.67 17.42 18.18 18.94 19.70 20.45 21. 21 21. 97 22.i3
13.71 14.36 15.01 15.67 16.32 16.97 17.62 18.28 18.93 19.58
23 24 25 26 27 28 29 30
31 ' 32 33 34 35 36 '37 38 39 40
23.75 :u.51 25.28 26.05 26.81 27.58 28.34 29.11 29.SS 30.64
19.93 20.57 21.21 21.85 22. SO 23.14 23.78 24.43 25.Oi 25.71
23.66 24.42 25.19 25.95 26.71 27.48 28.24 29.00 29.77 30.53
20.03 20.68 21.32 21.97 22.61 23.26 23.91 24.55 25.20 25.84
23.57 24.33 25.09 25.85 26.61 27.37 28.14 28.90 29.66 30:42
20.13 20.78 21.43 22.08 22.73 23.38 24.03 24.68 25.33 25.98
23.48 24.24 25.00 25. i6 26.51 27.27 28.03 28.79 29.55 30.30
20.24 20.89 21.54 22.U 22.85 23. SO 24.15 24.80 25.46 26.11
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 SO
31.41 32.17 32.94 33.71 34.47 35.24 36.00 36.77 37.54 38;30
26.35 27.00 27.64 28.28 28.93 29.57 30.21 30.85 31.50 32.14
31.29 32.06 32. 82 33.58 34.35 35.11 35.87 36.64 37.40 38.16
26.49 27.14 27.78 2843 29.08 29.72 30.37 31.01 31. 66 32.31
31.18 31. 94 32. 70 33.46 34.22 34.98 35.74 36. SO 37.26 38.02
26.63 27.28 27.93 28.58 29.23 29.87 30.52 31.17 31.82 32.47
31.06 31.82 32.58 33.33 34.09 34.85 35.61 36.36 37.12 37.88
26.76 27.42 28.07
41 42 43
29.37 30.03 30.68 31.33 31.99 32.64
45 46 47 48 49 SO
- - ---- -Dep.
i
Lat.
19.8~
,--
Dep.
A
21 22
4~
--- --- --- --- ----Lat.
Dep.
~
J!/
28.i2
1 2
Lat.
Dep.
Lat.
.,j. CJ
~
SO·.
49~0.
49"4··
88
49~·.
J!/
A
TABLE f.-TRAVERSE TABLE.
~
4014 0.
40 0 •
i
I
40)10.
I
Dep.
~
38.64 39.39 40.15 40.91 41. 67 42.42 43.18 43.94 44.70 45.45
33.29 33.94 34.00 35.25 35.90 36.66 37.21 37.86 38.51 39.17
61 62 53 64 66 56 67 58 59 00
39.82
41. 56 42.21 42.86 43.51 44.16 44.81 45.46
46.21 46.97 47.73 48.48 49.24 50.00 50.76 61. 51 52.27 53.03
41.12 41. 78 42.43 43.08 43.13 44.39 45.04 46.69
61 62 63 64 66 66 67 68 69 70
53.99 64.75 66.61 66.27 67.03 57.79 58.66 59.31 60.07 00.83
48.11 46.76 47.41 48.06 48.71 49.36 00.01 00.66 61.31 61.96
53.79 64.64 66.30 56.06 56.82 67.57 58.33 59.09 59.85 00.61
46.35 47.00 47.66 48.30 48.96 49.61 00.26 50.92 61.57 62.22
71 72 13 74 75 76 77 78 79 80
61.59 62.35
62.61 53.26 53.90 64.66 65.20
61.36 62.12 62.88 63.64 64.39
62.87 53.53 64.18 64.83 66.48
81 82 83 84 85
~:~t
;:79
9l
Lat.
Dep.
Lat.
51 62 53 64 66 56 57 58 59 00
39.07 39.83 40.00 41.37 42.13 42.90 43.66 44.43 45.20 45.96
32.78 33.42 34.07 34.71 35.36 36.00 36.64 37.28 37.92 38.57
38.92 39.69 41.21 41.98 42.74 43.50 44.27 45.03 45. 79
32.95 33.00 84.24 34.89 35.64 36.18 36.83 37.48 38.12 38.77
38.78 39.64 40.:10 41.06 41.82
61 62 63 64 66 66 67 68 69 70
46.73 47.49 48.26 49.03 49.79 50.56 61.32 52.09 62.86 53.62
39.21 39.86 40.50 41.14 41. 78 42.42 43.07 43.71 44.35 45.00
46.66 47.82 48.08 48.85 49.61 50.37 51.14 51.90 52.66 53.43
39.41 40.06 40.71 41.35 42.00 42.64 43.29 43.94 44.58 46.23
46.38 47.15 47.91 48.67 49.43 00.19 00.95 51. 71 52.47 53.23
39.62
71 72 73 74 75 76 77 78 79 80
64.39 66.16 66.92 66.69 57.45 58.22 58.99 59.75 00.52 61.28
45.64 48.28 46.02 47.57 48.21 48.86 49.49 50.14 69.78 61.42
64.19 64.95 66.72 66.48 57.24 58.01 58.77 59.53 00.30 61.06
45.87 46.62 47.17 47.81 48.46 49.11 49.75 50.40 51.04 51.69
81 82 83 84 86 86 87 88 89 90
62.05 62.82 53.58 64.35 65.11
62.07 52.71 53.35 53.99 64.64
61.82 62.59 63.35
62.34 62.98 53.63 64.27 64.92
63.11
91 92 93 94 OS,
96 97 98' 99 100
::~5 M:~
I
67.41 68.18 68.94
66.57 57.21 57.85
69.71 70.48 71.24 72.01 72.77 13.64 74.31 75.07 75.84 76.00
liR.49 59.14 59.78 00.42 61.06 61.71 62.35 62.99 63.64 64.28
~.64
66.40
::~i
!D
Lat.
Dep.
:Ji
t:I
It
Lat.
40.45
~o.
42.58
43.34 44.10 44.86 45.62
63.87 64.63
Dep. 33.12 33.77 34.42 35.07 35.72 36.37 37.02 37.67 38.32 38.97
40.27 40.92
~:~: ~:~
I
m.16 67.93 68.69
66.86 67.51 68.16
66.92 67.68
68.44
67.15 67.80 68.45
66.07 m.42 68.18
69.45 70.22 70.98 71.74 12.51 13.27 74.03 74.80 76.66 76.32
58.80 59.44 00.09 00.74 61.38 62.03 62.67 63.32 63.97 64.61
69.20 69.96 70.72 71.48 72.24 13.00 73.76 74.62 75.28 76.04
59.10 59.75 00.40 61. 05 61. 70 62.35 63.00 63.66 64.30 64.94
68.94 69.70 70.45 71.21 71. 97 72.73 73.48 74.24 75.00 75. 76
40.47
57.44
MI. 10
58.75
59.40 00.05 00.71 61.36 62.00 62.66 63.32 63.97 64.02 85.28
~
88 89 90 91 92 93 04 95 96 97 98 99 100
- - --- --- - - - --- - - - - - - - - - --- - .;
I
j" .!l
A
Dep.
Lat. 00 0 •
Dep.
Dep.
Lat.
~o.
Lat.
49~0.
89
Dep.
Lat.
~o.
i
.!l
A
'lABLB 4.-TIU.VBBSI 'lABLE.
~
~
!"
410.
Lat.
41~0.
Dep.
Lat.
I
I
Dep.
41~0.
Lat.
Pep.
Lat.
.~ t:t
41~0.
Dep.
!"
------ ------ ------1---1 2 3
6.79 7.55
0.66 1.31 1.97 2.62 3.28 3.94 4.59 6.U 0.90 6.56
0.76 1.50 2.26 3.0l 3.76 4.51 0.26 6.01 6.77 7.52
0.66 1.32 1.98 2.64 3.30 3.96 4.62 0.27 0.93 6.59
0.75 1.50 2.U 3.00 3.74 4.49 6.24 0.99 6.74 7.49
0.66 1.33 1.99 2.66 3.31 3.98 4.64 5.30 5.96 6.63
0.75 1.49 2.24 2.98 3.73 4.48 0.22 6.97 6.7l 7.46
0.67 1.33 2.00 2.66 3.33 4.00 4.66 6.33 0.99 6.66
6 6 7 8 9 10
12 13 14 15 16 17 18 19 20
8.30 9.06 9.81 10.57 11.32 12.08 12.83 13.68 14.34 16.00
7.22 7.87 8.53 : 18 9. 9.84 1 10.50 , 11.15 I 11.81 ' 12.47 13.12
8.27 9.02 9.77 10.53 11.28 12.03 12.78 13.53 14.28 16.04
7.U 7.91 8.57 9.23 9.89 10.55 11.21 11.87 12.53 13.19
8.24 8.99 9.74 10.49 11.23 11.98 12.73 13.48 14.23 14.98
7.29 7.95 8.61 9.28 9.94 10.60 11.26 11.93 12.59 13.U
8.21 8.95 9.70 10.44 11.19 11.94 12.68 13.43 14.18 14.92
7.32 7.99 8.66 11.32 11.99 10.66 11.32 11.9\1 12.65 13.32
11 12 13 14 15 16 17 18 19 20
21 22 23 24 U 26 27 28 29 30
16.86 16.60 17.36 18.11 18.87 19.62 20.38 21.13 21.89 22.64
13.78 14.43 15.09 15.76 16.40 17.00 17.7l 18.37 19.03 19.G8
10.79 16.54 17.29 18.04 18.80 19.55 20.30 21.05 21.80 22.56
13.86 14.51 15.16 16.82 16.48 17.14 17.80 18.46 19.12 19.78
16. 73 16.48 17.23 17.97 18.72 19.47 20.22 20.97 21. 72 22.47
13.92 14.68 16.24 16.90 16.57 17.23 17.89 18.55 19.22 19.88
Ii. 67 16.41 17.16 17.91 18.66 19.40 20.14 20.89 21.64 22.38
13.98 14.66 15.32 16.98 16.66 17.31 17.98 18.64 19.31 19.98
21 22 23 24 U 26 27 28 29 30
31 32 33 34 35 36 37 38
20.34 20.99 21.66 22.31 22.96 23.62 24.27 24.93 U.59 26.24
23.31 24.06 24.81 U.56 26.31 27.f1l 27.82 28.57 29.32 3O.f1l
20.44 21.10 21. 76 22.42 23.08 23.74 24.40 U.06 U.7l 26.37
113.22 23.111 24.72 U.46 26.21 26.96 27.71 28.46 29.21 29.96
~.54
21.20 21.87 22.53 23.19 23.86 24.52 U.18 26.84 26.50
23.13 23.87 24.62 26.37 26.11 26.86 27.60 28.35 29.10 29.84
~.64
21.31 21. 97 22.64 23.31 23.97 24.64 25.30 26.97 26.64
31 32 33 34 35 36 37 38
39 40
23.40 24.15 24.91 U.66 26.41 27.17 27.92 28.68 29.43 30.19
41 42 43 44 45 46 47 48 49 50
30.94 31. 70 32.46 33.21 33.96 34.72 35.47 36.23 36.98 37.74
26.90 27.55 28.21 28.87 29.52 30.18 30.83 31. 49 32.15 32.80
80.83 31.68 32.33 33.08 33.83 34.68 36.34 36.09 36.84 37.59
27.03 27.69 28.35 29.01 29.67 30.33 30.99 31.66 32.31 32.97
30.71 81.46 32.21 32.96 33.70 34.45 35.20 35.95 36.70 37.45
27.17 27.83 28.49 29.16 29.82 30.48 31.14 31.81 32.47 33.13
30.59 31.33 32.08 32.83 33.67 34.32 35.06 36.81 36.56 37.30
27.30 27.97 28.63 29.30 29.97 30.63 31.30 31.96 32.63 33.29
8
Dep.
1 2 3 4 5 6 7 8 9 10
0.75 1.61 2.26 3.02 3.77 4.53 6.28
II
6.04
"
39
40 41 42 43 44 .f.5
46 47 48 49
ro
- - --- - - - - - - - - --- --- --- - - - - -
. A
S"
Lat. 4\1 0.
Dep.
Lat.
Dep.
~o.
~
QO
Lat.
..
Dep.
Lat.
8
j t8J4;0,
.!I
A
TABLB 4.-TIU.VEB8B TABLB. t:I
41~0.
41°.
Ii
4Uio.
41W·
t:I ;;;
g - - --- --- - - - - - - --- - - - --- ---- -
~
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Ii
51 62 53 54 65 66 67 58 59 60
38.49 39.24 40.00
33.46 34.12 34.77 36.43 36.08 36.74 37.40 38.05 38.71 39.36
36.34 39.10 39.85 40.60 41.36 42.10 42.85 43.61 44.36 46.11
33.63 34.29 34.95 36.60 36.26 36.92 37.68 38.24 38.90 39.66
38.20 38.95 39.69
38.05 38.79 39.54 40.29 41.03 41. 78 42.53 43.27 44.02 44.76
33.96 34.63 36.29 36.96 36.62 37.29 37.96 38.62 39.29 39.95
61 52 53
41.19 41. 94 42.69 43.44 44.1g 44.94
33.79 34.46 36.12 36.78 36.44 37.11 37.77 38.43 39.09 39.76
65 56 57 58 59 60
61 62 63
46.04 46.79 47.65 48.30 49.06 49.81 60.67 61.32 52.07 52.83
40.02
46.86 46.tll 47.37 48.12 48.87 49.62 60.37 51.13 51.88 52.63
40.22 40.88 41.54 42.20
46.51 46.26 47.00 47.75 48.49 49.24 49.99 60.73 51.48 62.22
61
43.52 44.18 44.84 46.49 46.16
40.42 41.08 41.75 42.41 43.07 43.73 44.40 46.06 46.72 46.38
40.63
42.86
46.69 46.44 47.18 47.93 48.68 49.43 60.18 60.93 61. 68 62.43
46.81 47.47 48.13 48.79 49.46 60.11 60.77 61.43 52.09 62.75
53.18 53.92 54.67 65.42 56.17 56.92 57.67 68.42 59.17 59.92
47.05
50.36
62.97 53.72 54.46 65.21 65.95 5tI.70 57.46 58.19 68.94 59.68
47.28 47.94 48.01 49.28 49.94 SO. 61 51.27 61.94 52.60 53.27
71 72 73 74 75 76 77 78 79 80
53.67 54.33 65.00 65.66 66.32 56.99 57.65 58.31 68.97 59.64
60.43 61.18 61.92 62.67 63.41 64.16 64.91 65.65
53..94 54.60 65.27 65.93 56.60 57.27 57.93 58.60 59.26 59.93
81 82 83 84
00.30 60.96 91. 62 62.29 62.95 63.61 64.27 64.94 65.60 66.26
67.89 68.64 00.38 70.13 70.88 71.62 72.37 73.11 73.86 74.M
60.60 61. 26 61.93 f>2.59
91 92 03
64 65 66 67 68 69 70
40.76 ~.61
42.26 43.02 43.77 44.53
45.28
40.68
41.33 41.99
42.64
43.30 43.96 44.61 46.27 46.92
40.44
53..58 54.34 66.09 65.85 56.00 57.36 58.11 58.87 59.62 60.38
46.68 47.24 47.89 48.65 49.20 49.86 60.52 51.17 51. 83 52.48
53..38 54.13 54.88 65.f>4 56.39 57.14 57.89 68.64
63.14 53.80 54.46 65.11 65.77 66.42 57.08 67.73 68.39
00.90 61.65 62.40 t>~.16
53.. 41 54.07 54.73 65.39
86 87 88 89 90
61.13 61.89 62.64 63.40 64.15 64. 91 65.66 66.41 67.17 67.92
59.05
63.91 64.66 65.41 00.16 66.91 G7.67
66.70 57.36 68.02 58.68 69.34
60.67 61.41 62.16 62.91 63.66 64.41 65.16 65.91 66.66 67.41
91 92 93 94 95 96 97 98 99 100
68.68 69.43 70.19 70.91 71.70 72.46 73. 21 73.96 74. 72 76.47
69.70 00.36 61.01 61. 67 62.3.1 62.9H 63.64 64.29 64.95 65.61
68.42 69.17 69.92 70.67 71.43 72.18 72.93 73.68 74.43 75.18
60.00 60.66 61.32 61.98 62.64 63.30 fl3.96 64.62 65.28 65.93
68.16 68.90 00.66 70.40 71.16 71.90 72.65 73.40 74.16 74.90
71 72 73 74 75 76 77 78
79 80 81 82 83 84
85
59.40
60.16
M.M
47.71 48.37 411.03 49.70
51.02 51.68 52.35 53..01
66.40 67.16
41.28 41.95
42.62
43.28 43.95 H.61 45.28 45.95 46.61
r.a.26
63.92 64.59 66.26 66.92 66.59
54
63 63
64 65 66 67 68 69 70
85 86 87 88 89 90
94 95 96 97 98 99 100
- - --- - - - - - - --- - - - --- - - - --- - -
8
i
A
Dep.
Lat. 49°.
Dep.
Lat.
4~0.
Dep.
Dep.
Lat.
48311°.
I
J.at.
48~0.
8
~
A
TABI,E f.-TRAVERSE TABLE. I::l
42~0.
42°.
~
42J.i°.
g ~
Lat.
Dep.
Lat.
Lat.
Dep.
I
Dep.
t:I
421,4°.
Lat.
~
Dep.
SCI ()
l"
- - --- --- --- --- --- --- - - - -- I 2 3 4 5 6 7 8 9 10
O.H 1.49 2.23 2.97 3.72 4.46 5.20 5. 95 6.69 7.43
0.67 1.34 2.01 2.68 3.35 4.01 4.68 5.35 6.02 6.69
0.74 1.48 2.22 2.96 3.70 4.44 5. It! 5.92 6.66 7.40
0.07 1.34 2.02 2.69 3.36 4.03 4.71 5.38 0.05 0.72
0.74 1.47 2.21 2.95 3.69 4.42 5.16 5.90 6.64 7.37
0.68 1.35 2.03 2.70 3.38 4.05 4.73 5.40 6. OS 6.76
0.73 1. 47 2.20 2.94 3.67 4.41 5.14 5.87 6.01 7.34
0.68 1.36 2.04 2.72 3.39 4.07 4.75 5.43 6.11 6.79
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
8.17 8.92 9.66 10.40 11.15 11.89 12.03 13.38 14.12 14.86
7.36 8.03 8.70 9.37 10.04 10.71 11.38 12.04 12.71 13.38
8.14 8.88 9.62 10.36 11.10 11.84 12.58 13.32 14.06 14.86
7.40 8.07 8.74 9.41 10.09 10.76 11. 43 12.10 12.77 13.45
8.11 8.85 9.58 10.32 11.06 11.80 12.53 13.27 14.01 14. 75
7.43 8.11 8.78 9.40 10.13 10.81 11.49 12.10 12.84 13.51
8.08 8.81 9.55 10.28 11.01 11.75 12.48 13.22 13.95 14.69
7.47 8.15 8.82 9.50 10.18 10.86 11.54 12.22 12.90 13.58
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
15.61 16.35 17.09 17.84 18. 58 19.32 20.06 20.81 21. 55 22.29
14.05 14.72 15.39 10.06 16.73 17.40 18. 07 18. 74 19.40 20.07
15.54 16.28 17.03 17.77 18. 51 19.25 19.99 20.73 21. 47 22.21
14.12 14.79 15.46 16.14 16.81 17.48 18.15 18.83 19.50 20.17
15.48 10.22 16.96 17.69 18.43 19.17 19.91 20.64 21.38 22.12
14.19 14.86 15.54 16.21 16.89 17.57 18. 24 18.92 19.59 20.27
15.42 16.16 16.89 17.02 18.36 19.09 19.83 20.56 21. 30 22.03
14.25 14.93 15. 61 16.29 1ft 97 17.65 18.33 19.01 19.69 20.36
21 22 23 24 25 26 27 28 29. 30
31 32 33 34 35 36 37 38 39 40
23.04 23.78 24.52 25.27 26.01 26. 75 27.50 28.24 28.98 29.73
20.74 21.41 22.08 22.75 23.42 24.09 24.76 25.43 26.10 26.77
22.95 23.69 24.43 25.17 25.91 26.65 27.39 28.13 28.87 29.61
20.84 21. 52 22.19 22.86 23.53 24.21 24.88 25.55 26.22 26.89
22.86 23.59 24.33 25.07 25.80 26.54 27.28 28.02 28.75 29.49
20.94 21.62 22.29 22.97 23.65 24.32 25.00 25.67 26.35 27.02
22.76 23.50 24.23 24.97 25.70 26.44 27.17 27.90 28.64 29.37
21.04 21.72 22.40 23.08 23.76 24.44 25.12 25.79 26.47 27.15
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49, 50
30.47 31.21 31.96 32.70 33.44 34.18 34.93 35.67 36.41 37.16
27.43 28.10 28.77 29.44 30.11 30.78 31. 45 32.12 32.79 J3.40
30.35 31.09 31.83 32.57 33.31 34.05 34.79 35.53 36.27 37.01
27.57 28.24 28.91 29.58 30.26 30.93 31. 6C 32.27 32.95 33.62
30.23 30.97 31.70 32.44 33.18 33.91 34.05 35.39 36.13 36.86
27.70 28.37 29.05 29.73 30.40 31.08 31.75 32. 43 33.10 33.78
30.11 30.84 31. 58 32.31 33.04 33.78 34.51 35.25 35.98 36.72
27.83 28. 51 29.19 29.87 30.55 31.22 31.90 32.58 33.26 33.94
41 42 43 44 45 46 47 48
Dep.
Lat.
- - - --- - - - - - -
~'"
~
Lat.
Dep. 48·.
Dep.
--- - - - --- --- -
Lat.
47~0.
Dep.
I
I 92
Lat.
47J.i°.
47~o.
49
50
i
.l!l
A
TABLE 4.-TRAVERSE TABLE.
, t;j
f
42},0.
42°.
!iI"
42}i°.
~'O.
t:l
!iI"
J
~
Lat.
61 62 53 04 65 56 57 68 69 00
37.90 38.64 39.39 40.13 40.87 41.62 42.36 43.10 43.85 44.69
34.13 34.79 35.46 36.13 36.80 37.47 38.14 38.81 39.48 40.15
37.75 38.49 39.23 39.m 40.71 41.45 42.19 42.93 43.67 44.41
34.29 34.00 35.64 36.31 36.98 37.65 38.32 39.00 39.67 40.34
37.00 38.34 39.08 39.81 40.55 41.29 42.02 42.76 43.50 44.24
34.46 35.13 35.81 3u. 48 37.16 37.83 38.51 39.18 39.86 40.54
37.45 38.18 38.92 39.65 40.39 41.12 41.86 42.59 43.33
44.06
34.62 35.30 35.98 36.66 37.;l3 38.01 38.69 39.37 40.05 40.73
51 62 53 04 65 56 67 68 69 00
61 62
40.82 41.49 42.16 42.82 43.49 44.16 44.83 45. 50 4G. 171 46.84
45.15 45.89 46.63 47.37 48.11 48.85 49.69 50.33 51.08 51.82
41.01 41.69 42.36 43.03 43.70 44.38 45.05 45.72 46.39 47.07
44.97 45.71 46.45 47.19 47.92 48.66 49.40 50.13 50.87 51.61
41.21 41.89 42.56 43.24 43.91 44.69 45.26 45.94 46.62 47.29
44.79 45.53 46.26 47.00 47.73 48.47 49.20 49.93 50.67 61.40
41. 41 42.09 42.76 43.44 44.12 44.80 45.48 46.16 46.84 47.62
61 62
64 65 66 67 68 69 70
46.33 46.07 46.82 47.56 48.30 49.05 49.79 50.53 51.28 62.02
64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
52.76 63.61 04.25 04.99 55.74 56.48 57.22 57.97 68.71 69.45
47.61 48.18 48.85 49.52 50.18 50.85 51.62 52.19 62.86 53.53
62.56 53.30 04.04 04.78 55.62 56.28 57.00 67.74 68.48 69.22
47.74 48.41 49.08 49.76 50.43 61.10 51. 77 62.44 53.12 53.79
62.36 63.08 63.82 04.56 55.30 56.03 56.77 67.51 68.24 68.98
47.97 ; 48.64 ' 49.32 49.99 50.67 61.34 62.02 62.70 53.37 04.05
62.14 62.87 53.61 04.34 55.07 55.81 66.04 67.28 68.01 68.75
48.19 48.87 49.55 50.23 50.91 61. 69 62.27 62.95 53.63 04.30
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
00.19 00.94 61.68 62.42 63.17 63.91 64.65 65.40 66.14 66.88
04.20 04.87 55.54 66.21 66.88 57.55 68.21 68.88 69.55 00.22
69.96 00.70 61.44 62.18 62.92
04.46 55.13 55.81 66.48 57.15 57.82 68.50 69.17 69.84 00.61
69.72 00.46 61.19 61. 9'J 62.67 63.41 64.14 64.88 65. 62 66.35
04.72 55.40 66.07 66.75 67.43 68.10 68.78 69.45 00.13 00.80
69.48 00.21 00.95 61.68 62.42 63.15 63.89 64.62 65.35 00.09
04.98 55.66 56.34 67.02 67.70 68.38 69.06 69.73 00.41 61.09
81 82 83 84 85 86 87 88 89 90
91 92 93 94 96 96 97 98 99 100
67.63 68.37 69.11 69.86 70.00 71.34 72.09 72.83 73.57 74.31
00.89 61.66 62.23 62.90 63.57 64.24 64.91 65.57 66.24 66.91
68.10 68.84 69.68 70.32 71.06 71.1K1 72.04 73.28 74.02
61.19 61.86 62.53 63.20 63.87 64.55 65.22 65.89 66.56 67.24
67.09 67.83 68.57 69.30 70.04 70.78 71.62 72.25 72.99 73.73
61.48 62.15 62.83 63.51 64.18 64.86 65.53 66.21 66.88 67.66
66.82 67.56 68.29 69.03 69.76 70.49 71. 23 71.96 72.70 73.43
61.77 62.45 63.13 63.81 64.49 65.16 65. 84 66.52 67.20 67.88
91 92 93 94 95 96 97 98 99 100
Dep.
Lat.
Dep.
Lat.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
- - --- --- --- --- ------ - - --- --
63
1-
J
!!l
A
63.06
64.40 65.14 65.88 66.62
67.36
63
------ - - - - - -, - - - - - - - - - - - - - 48°.
I
47"°.
I Dep. I,
93
47}i°.
47~0.
j A
TABLE f.-TRAVERSE TABLE.
t:!
..,~
!"
I
43°.
iF
Lat.
Dep.
43~0.
Lat.
43~0.
Dep.
Lat.
t:!
43~0.
Dep.
Lat.
iF
Dep.
~ ~
- - - - - - - - - - - - - - - - - - - - - - - - - -- I 2 3 4 5 6 7 8 9 10
0.73 1.46 2.19 2.93 3.66 4.39 5.12 5.85 6.58 7.31
0.68 1.36 2.05 2.73 3.41 4.09
11 12 13 14 15 16 17 18 19 20
5.46 6.14 6.82
0.73 1.46 2.19 2.91 3.64 4.37 5.10 5.83 6.56 7.28
0.69 1. 37 2.06 2.74 3.43 4.11 4.80 5.48 6.17 6.85
0.73 1.45 2.18 2.90 3.63 4.35 5.08 5.80 6.53 7.25
8.04 8.78 9.51 10.24 10.97 11.70 12.43 13.16 13.90 14.63
7.50 8.18 8.87 9.55 10.23 10.91 11.59 12.28 12.96 13.64
8.01 8.74 9.47 10.20 10.93 11.65 12.38 13.11 13.84 14.57
7.54 8.22 8. 91 9.59 10.28 10.96 11.65 12.33 13.02 13.70
7.98 8. 70 9.43 10.16 10.88 11.61 12.33 13.06 13.78 H.M
21 22 23 24 25 26 27 28 29 30
15.31\ 16.09 16.82 17.5.'; 18.28 19.02 19.75 20.48 21. 21 21.94
14.32 15.00 15.69 16.37 17.05 17.73 18.41 19.10 19.78 20.46
15.30 16.02 16.75 17.48 18.21 18.94 19.67 20.39 21.12 21.85
14.39 15.07 15.76 16.44 17.13 17.81 18.50 19.19 19.87 20.56
31 32 33 34 35 3(\ 37 38 39 40
22.67 23.40 24.13 24.87 25. (iO 26.33 27.06 27.79 28.52 29.25
21.14 21. 82 22.51 23.19 23.87 24.55 2.0.23 25.92 26.60 27.28
22.58 23.31 24.04 21.76 25.49 26.22 26.95 27.68 28.41 29.13
41 42 43 44 45 40 47 48 49 50
29.119 30.72 31.45 32.18 32.91 33.64 34.37 35.10 35.84 36.57
27.96 28.04 29.33 30.01 30.69 31.37 32.05 32.74 33.42 34.10
29.~6
Dep.
Lat.
4.n
1 2 3
0.72 1.44 2.17 2.89 3.61 4.33 5.06 5.78 6.50 7.22
0.69 1.38 2.07
8.2f\ 8.95 9.64 10.33 11. 01 11.70 12.39 13.08 13.77
7.95 8.67 9.39 10.11 10.84 11.56 12.28 13.00 13.72 14.45
7.61 8.30 8.99 9.68 10.37 11.06 11.76 12.45 13.14 13.83
19 20
15.23 15.96 16.68 17.41 18.13 18.86 19.59 20.31 21.04 21. 76
14. 46 15. It 15.83 16.52 17.21 17.90 18.59 19.27 19.96 20.65
15.17 15.89 16.61 17.34 18.06 18.78 19.50 20.23 20.95 21.67
14.52 15.21 15.90 16.60 17.29 17.98 18.67 19.36 20.05 20.75
21 22 23 24 25 26 27 28 29 30
21. 24 21.93 22.61 23.30 23.98 24.67 25.3.'; 26.04 26.72 27.41
22.49 23.21 23.94 24.66 2';.39 26.11 26.84 27.56 28.29 29.01
21. 34 22.03 22.72 23.40 24.09 24.78 25.47 26.10 26.85 27.53
22.39 23.12 23.84 24.56 25.28 20.01 26.73 27.45 28.17 28.89
21.44 22.13 22.82
31 32 33 34 35 36 37 38 39 40
30.59 31.32 32.05 32.78 33.51 34.23 34.96 35.69 36.42
28.09 28.78 29.46 30.15 30.83 31. 52 32.20 32.89 33.57 34.26
29.74 30.47 31.19 31. 92 32.64 33.37 34.09 34.82 35.04 36.27
28.22 28.91 29.60 30.29 30.98 31. 66 32.35 33.04 33.73 34.42
29.112 30.34 31.06 31. 78 32.51 33.23 33.95 34.67 35.W 36.12
Dep.
Lat.
0.69 1.38 2.07 2.75 3.44 4.13 4.82 5.51 6.~
6.88 7.~7
2.n
3.46 4.15 4.84 5.53 6.22 6.92
23.~1
24.20 24.89 25.59 26.28 26.97 27.66 28.35 29.04 29.74 30.43 31. 12 3UU 32.50 33.19 33.88
34.58
..5
6 7 8 9 10 11 12 13 14 15 16 17 1~
41 42 43 44 45 4U 47 48 49 50
- ---- --- --- --- --- --- --- --- --
i
A
47 0.
Dep.
Lat.
J>ep.
Lat.
i!l
!
46',40.
46~io.
94
46~0.
.5 A
TABLE 4.-TRA"ERSE TABLE. t:I
43~0.
43°.
!O
43~0.
t:I
43~0.
!O
g
f
Lat.
51 52 53 54 55 56 57 58 59 60
37.30 38.03 38. 76 39.49 40.22 40.96 41.69 42.42 43.15 43.88
61 62 63 64 65 66 67 68 69 70
44. 61 45.34 46.08 46.81 47.54
Dep.
Lat.
Dep.
Lat.
Dep.
- - --- - - - - - - - - - - - - - - -
Lat.
Dep.
~
--- - - - - 35.ZT
36.15 36.83 37.51 38.19 38.37 39.56 40.24 40.92
37.15 37.88 38.60 39.33 40.06 40.79 41. 52 42.25 42.97 43.70
34. 04 35.63 36.31 37.00 37.69 38. 37 39.06 39.74 40.43 41.11
36.99 37.72 38.44 39.17 39.90 40.62 41.35 42.07 42.80 43.52
35.11 35.79 36.48 37.17 37.86 38.55 39.24 39.92 40.61 41.30
36.84 37.56 38.20 39.01 39.73 40.45 41.17 41. 90 42.62 43.34
35.96 36.65 37.34 38.03 38.72 39.42 40.11 40.80 41.49
51 52 53 54 55 56 57 58 59 60
49.00 49.73 50.46 51.19
41.60 42.28 42.97 43.65 44.33 45.01 45.69 46.38 47.06 47.74
44.43 45.16 45.80 46.62 47.34 48. 07 48.80 49.53 50.26 50.99
41. 80 42.48 43.17 43.85 44.54 45.22 45.91 46.59 47.28 47.96
44.25 44.97 45.70 46.42 47.15 47.87 48.60 49.33 50.05 50.78
41. 99 42.68 43.37 44.05 44.74 45.43 46.12 46.81 47.50 48.18
44.06 44. 79 45.51 46.23 46.95 47.68 48.40 49.12 49.84 50.57
42.18 4287 43.57 44.26 44.95 45.64 46.33 47.02 47.71 48.41
61 62 63 64 65 66 67 G8 69 70
71 72 73 74 75 76 77 78 79 80
51.93 52.66 53.39 54.12 54.85 55.58 56.31 57.05 57.78 58. 51
48.42 49.10 49.79 50.47 51.15 51.83 52.51 53.20 53.88 54.56
51.71 52.44 53.17 53.90 54.63 55.36 56.08 56.81 57.54 58.27
48.65 49.33 50.02 50.70 51.39 52.07 52.76 53.44 54.13 54.81
51.50 52.23 52.95 53.68 54.40 55.13 55.85 56.58 57.30 58.03
48.87 49.56 50.25 50.94 51.63 52.31 53.00 53.69 04.38 55.07
51.20 52.01 52.73 53.46 54.18 54.90 55.62 56.34 57.07 57.79
49.10 49.79 50.48 51.17 51.86 52.55 53.25 53.94 54.63 55.32
71 72 73 74 75 76
81 82 83 84 85 86 87 88 89 90
59.24 59.97 60.70 61.43 62.17 62.90 63.63 64.36 65.09 65.82
55.24 55.92 56.61 57.20 57.97 58.65 59.33 60.02 60.70 61.38
59.00 59.73 60.45 61.18 61. 91 62.64 63.37 64.10 64.82 65.55
55.50 56.19 56.87 57.56 58.24 58.93 59.61 60.30 60.98 61.67
58.76 59.48 60.21 60.93 61.66 62.38 63.11 63.83 64.56 66.28
55.76 56.45 57.13 57.82 58.51 59.89 60.58 61.26 e1.95
58.51 59.23 59.96 60.68 61.40 62.12 62.85 63.57 64.20 65.01
56.01 56.70 57.40 58.09 58.78 59.47 60.16 60.85 61.54 62.24
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
66.55 67.28 68.02 68.75 69.48 70.21 70.94 71.67 72.40 73.14
62.06 66.28 67.01 62.74 67.74 63.43 68.47 64.11 69.20 64.79 69.92 65.47 70.66 66.15 66.84 71.38 67.52 I 72.11 72.84 68.20
62.35 63.04 63.72 64. 41 65.09 65.78 66.46 67.15 67.83 68.52
66.01 66.73 67.46 68.19 68.91 69.64 70.36 71.09 71. 81 72.54
62.64 63·33 64.02 64. 71 65.39 66.08 66. 77 67.46 68.15 68.84
65.74 66.46 67.18 67.90 68.62 69.35 70.07 70.79 71. 51 72.24
62.93 63.62 64.31 66.00 66.69 66.39 67.08 67.77 68.46 69.15
91 92 93 94 95 96 97 98 99 100
Dep.
Lat.
48.ZT
34.78 35.46
5~.2O
- ------- ------ ------
i A
Dep. 47°.
Lat.
Dep.
Dep.
Lat.
Lat.
46~0.
46"4°.
95
46~0.
77
78 79 80
IJ
__ 1~ -
TABLE 4.-TBAVERSE TABLE.
~ ~:~
0.70 I 1.40,
0.71 1. 41 2.12 2.83 3.54 4.24 4.95 5.66 6.36 7.07
1 2 3 4 5 6 7 8 9 10
0.71 1.43 2.14 2.85 3.57 4.28 4.09 5.71 6. 42 7.13
0.70 1.40 2.10 2.80 3.50 4.21 4.91 5.61 6.31 7.01
0.71 1.42 2.13 2.84 3.55 4.26 4.97 5.68 6.39 7.10
0.70 1.41 2.11 2.82 3.52 4.22 4.93 5.63 6.34 7.04
0.71 1.41 2.12 2.83 3.54 4.24 4.95 5.66 6.36 7.f1l
7.88 8.60 9.31 10.03 10.74 11.46 12.18 12.89 13.61 /14.33
7.85 8.56 9.27 9.99 10.70 11.41 11.16 / 12.13 11.86 12.56 12.84 13.26 13.55 13.96 14.27
7.71 8.41 9.11 9.81 10.51 11.21 11. 92 12.62 13.32 14.02
7.81 8.52 9.23 9.94 10.65 11.36 12.07 12.78 13.49 14.20
7.74 8.45 9.15 9.86 10.56 11.26 11.97 12.67 13.38 14.08
7.78 8.49 9.19 9.90 10.61 11.31 12.02 12.73 13.44 14.14
7.78 11 8.49 12 9.19 13 0.90 14 10.01 15 11.31 16 12.02117
g:~
i:g
14.14
20
14.59 15.28 15.98 16.67 17.37 18.06 18.76 19.45 20.15 20.84
15. 04 15.76 16.47 17.19 17.91 18.62 19.34 20.06 20.77 21.49
14.65 15.35 16.05 16.75 17.44 18.14 18.84 19.54 20.24 20.93
14. 98 15. 69 16. 40 17.12 17.83 18.54 19.26 19.97 20.68 21.40
14.72 15. 42 16.12 16.82 17.52 18.22 18.92 19.63 20.33 21.03
14.91 15. 62 16.33 17.04 17.75 18.46 19.18 19.89 20.60 21.31
14.78 15. 49 16.19 16.90 17.60 18.30 19.01 19.71 20.42 21.12
14.85 15.56 16.26 10.97 17.68 18. 38 19.09 19. 80 20. 51 21. 21
14.85 15. 56 16.26 16.97 17.68 18. :;s 19.09 19.80 20. 51 21. 21
21 22 23 24 25 26 27 28 29 30
31 122.30 32 ;23.02 33 123.74 34 124.46 35125.18 36 25.90 37 26.62 38 27 33 . 39 128.05 4028.77
21. 53 22.23 22.92 23.62 24.31 25.01 25.70 26.40 27.09 27.79
22.21 22.92 23.64 24.35 125.07 25.79 26.50 27.22 27.94 28.65
21.63 22.33 23.03 23.72 24.42 25.12 25.82 26.52 27.21 27.91
22.11 22.82 23.54 24.25 24.96 25.68 26.39 27.10 27.82 28.53
21. 73 22.43 23.13 23.83 24.53 25.23 25.93 26.63 27.34 28.04
22.02 22.73 23.44 24.15 24.86 25.57 26.28 26.99 27.70 28.41
21.82 22.53 23.23 23.94 24.64 25.34 2(;.05 26.75 27.46 28.16
21. 92 22. 63 23.33 24. 04 24.75 25. 46 26.16 26. 87 27.58 28. 28
21. 92 22. 63 23.33 24. 04 24.75 25. 40 26. 16 26. 87 27.58 28. 28
31 32 33 34 35 36 37 38 39 40
41 129.49 42 130.21 43 j30.93
28.48 29.18 29.87 30.56 31.26 31.95 32.65 33.34 34.04 34. 73
29.37 30.08 30.80 31.52 32.23 32.95 33.67 34.38 35.10 35.82
28. 61 29.31
20.24 20.96 30.67 31. 38 32. 10 32. 81 33.52 34.24 34. 95 35. 66
28.74 20.44 30. 14 30.84 31. 54 32. 24 32.94 33. G4 34. 34 35. 05
20.12 20.83 , 30.54 i 31. 25 , 31. 96 ; 32. 67 1 33.38 I 34.09 134. 80 35. 51
28. 99 29.70 30.41 31. 11 31. 82 32. 53 33.23' 33.94 34. 65 35. 36
41 42 43 44 45 40 47 48 49 50
0.69 1.39 2.08 2.78 3.47 4.17 4.86 5.56 6.25 6.95
0.72 1.43 2.15 2.87 3.58 4.30 5.01 5.73 6.45 7.16
Ig iIi: ~~ 20 :14.39
7.64 8.34 9.03 9.73 10.42 11.11 11.81 12.50 13.20 13.89
21 15.11 2~ 15. 83 23 16.54 24 17.26 25 ,17.98 26 '18.70 27 ;19.42 28 120.14 29 20.86 30 '21.58
II
3 2.16 4 2.88 5 3.60 67 14.32 5.04 8 5.75 9 6.47 10 17.19 11 7.91 12 I 8.63 13 I 9.35 I! ,lO.07
, I:g I:n~ 17 112.23
rs I~U~
46 47 48 49 50
~
~
33.09 33.81 34.53 305.25 35.97
;;
~:~ i
3.49 4.19 4.88 5.58 6.28 6.98 7.68 8.37 9.07 9.77 10.47
' ' : ,
j
! I
~:!?O I
31.40 32.10 32.80 33.49 34.19 34.89
I
I
28.86 28.99 20.57 29.70 30.27 30.41 30.98 31. 11 31.68 31. 82 32.38 32. 53 33.09 33.23 33.79 33.94 34. 50 ,34. 65 35. 20 ! 35.36
~I ~ ~ -D-e-p-. -L-a-t.-I-D-e-p-. -L-a-t-. -D-ep-.
46°.
1
4534°.
1--45-'~-20-.96
45~0.
,
-La-t.--;
45°.
I
TABLB 4.-TIU. VERSE TABLE. t;;
!O
g ~
44°.
Lat.
61 52 63 M 56 56 57 58 59 60
36.69 37.41 38.13
~::
40.28 41.00 41. 72 42.44 43.16
61 62 63 64 66 66 67 68 69 70
43.88 44.60 45.32 46.04 46.76 47.48 48.20 48.92 49.63 60.35
71 72 73 74 75 76 77 78 79 80
51.07 51. 79 52.51 63.23 63.95
4472°.
Dep.
Lat.
Dep.
Lat.
Dep.
Lat.
Dep.
Ii"
36.43 36.12 36.82 37.51 38.21 38.90 39. CO 40.29 40.98 41.68
36.63 137.25 37.96 38.68 39.40 40.11 40.83 41. 55 42.26 42.98
36.59 36.29 36.98 37.68 38.38 39.08 39.77 40.47 41.17 41.87
37.09 37.80 38.52 39.23 39.94 40.66 41.37 42.08 42.80
36.45 37.16 37.85 38.55 39.25 39.96 40.66 41.35 42.05
36.93 37.64 38.35 39.06 39.77 40.48 41.19 41. 90 42.61
36. 61 36.77 37.31 37.48 38.02 38.18 38.72 38 89 39.42 39. CO • 40.13 1 40.31 40.83 41.01 41. M 41. 72 42.24 42.43
36.77 37.48 38.18 38.89 39. CO 40.31 H.Ol 41. 72 42.43
52 63 M 55 Ii6 67 58 l\9 60
42.37 43.07 43.76 44.46 45.15 45.85
43.69 44.41 45.13
42.57 43.26 43.96 44. G6 45.36 46.05 46.75 47.45 48.15 48.85
43.51 44.22 44.93 45.66 46.36 47.07 47.79 48.60 49.21 49.93
42.76 43.32 43.46 44.03 44.16 44.74 44.86 45.45 45.56 46.16 46.26 46 87 46.96 1 47.58 . 47.66 48.29 48.36 49.00 49.06 49.71
42.94 43.13 43.65 43.84 44.36 44.56 4':'.06 46.25 45.76 45.96 46.46 46.67 47. 17 1 47.38 47.87 48.08 48.58 48.79 49.28 49.60
43.13 43.84 44.55 45.25 45.96 46.67 47.38 48.08 48.79 49.60
61 62 63 64 66 66 67 (8 69 70
49.M
60.64 51.35 52.07 52.78 63.49 64. 21
49.76 60.47 61.17 61.87 52.57 63.27 63.97
00.42 61.13 51.84 52.56 63.26 63.rn
50.20 60.91 51.62 52.33 63.03 63.74
55.63 56.35 67.06
M.67
55.13 55.82
55.37 56.07
55.39 56.10 55.81
4D.IKI 50.20 60.69 50.91 51.39 51. 62 62.10 52.33 62.80 63.03 63.51 , 63.74 54.21 I M.45 M.91 i 56.15 55.62 55.86 56.32 56.57
55.15 55.86 56.57
71 72 73 74 75 76 77 78 79 80
58.02 58.74 59.45 ro.17 ro.89 61. 60 ,62.32 03 ,63.75 64.47
56.52 57.22 57.92 58.61 59.31 60.01 60.71 61. 41 62.10 62.80
57.77 58.49 59.20 59.91 6O.fl3 61.34 62.05 62.77 63.48 64.19
56.77 57.47 58.18 58.88 69.58 60.28 60.98 61.68 62.38 63.08
57.63 58.24 58.95 59.66 60.37 61. 08 61. 79 62.50 63.21 63.92
67.03 67.73 58.43 69.14 69.84 60.55 61.25 61. 95 62.fl6 63.36
57.28 57.98 58.69 59.40 60.10 60.81 61.52 62.23 62.93 63.64
57.28 67.98 58.69 59.40 60.10 60.81 61. 52 62.23 62.93 63.64
82 83 84 85 86 87 88 89 90
64.07 64.77 65.47 66.18 66.88 67.59 68.29 68.00 69.70 70. 40
64.36 66.05 66.76 66.47 67.18 67.88 68.59 69.30 70.00 70. 71
64.3~ 91 66.05 92 65.76 93 66.47 94 67.18 95 67.88 96 68.59 97 69.30 98 70.00 IKI 70. 71 100
I
-- - - -36.38- -36.75- -36.22- -36.90- -36.06- -36.06- -51
~~.84 6.56 47.28
46.M 47 00 47.24 47.93 48.63
• 148.71
49 42 60.14 . 60.86 51 . 57 1 52.29 63.01 5.1.72
1
60.24 60.94 51. 64 52.33 63.03 63.73
M.92
M.43
M.68
81 ~.27 82 .71 83 ~:IKI 84 60.42 85 61.14 86 61.86 87 62.58 88 63.30 89 64.02 90 'l4.74
1i6.27 56.96 67.66 58.36 69.05 SV.74 60.44 61.13 61.82 62.52
66.46 66.18 66.90 67.62 68.34 69.06 69.78 98 70.50 99 r1. 21 100 71. 93
63.21 63.91 64.60 65.30 65.1K1 66.69 67.38 68.08 68.77 69.47
66.18 66.90 66.62 67.33 68.05 68.76 69.48 '70.20 70 91 171.• 63
63.50 (14.20 64.89 66.59 66.29 66.1K1 67.69 68.38 69.08 69.78
64.91 66.62 66.33 67.05 67.,76 68.47 69.19 69.90 70.61 71.33
63.78 64.48 65.18 65.89 66.59 67.29 67.00 68.69 69.39 70.09
64.63 66.34 66.05 66.76 67.47 68.18 68.89 69.60 70.31 71.02
Lat .
1 Dep.
Lat.
Dep.
Lat.
Dep.
;63.
...
j
~
Dep.
46°.
I
41479-10--7
M.45
--,,----
--.;
t;;
!O
!:
49.32 60.02 00.71 61.40 52.10 M.67 52.79 M.44 55.39 63.49 55.11\ 56.11 M.18 55.87 56.83 M.88 56.59 57.55 55.57 57.30
91 92 93 94 95 96 97
45°.
44W·
Lat.
Dep.
-- --
-
44~0.
I
4~0,
,
4572°.
97
Lat.
4Si·,
II
II
Dep.
Lat.
81
t
!l "
45°.
!I
A
TABLE ".-CORRECTION OF ERROR IN STADIA WIRE INTERVAL.
1
2
3
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0
0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 4.2 4.4 4.6 4.8 5.0 5.2 5.4 5.6 5.8 6.0
0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.0 3.3 3.6 3.9 4.2 4.5 4.8 5.1 5.4 5.7 6.0 6.3 6.6 6.9 7.2 7.5 7.8 8.1 8.4 8.7 9.0
10
11
12
13
1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 11.0 12.0 13.0 14.0 15.0 16.0 17.0 18. 0 19.0 20.0 21.0 22.0 23.0 24.0 25.0 26.0 27.0 -28.0 29.0 30.0
1.1 2.2 3.3 4.4 5.5 6.6 7.7 8.8 9.9 11.0 12.1 13.2 14.3 15.4 16.5 17.6 18. 7 19.8 20.9 22.0 23.1 24.2 25.3 26.4 27.5 28.6 29.7 30.8 31.9 33.0
1.21 2.4 3.0 4.8 6.0 7.2 8.4 9.6 10.8 12.0 13.2 14.4 15.6 16.8 18.0 19.2 20.4 21.6 22.8 24.0 25.2 26.4 27.6 28.8 30.0 31.2 32.4 33.6 24.8 36.0
1.3 2.6 3.9 5.2 6.5 7.8 9.1 10.4 11.7 13.0 14.3 15.6 16.9 18.2 19.5 20.8 22.1 23.4 24.7 26.0 27.3 28.6 29.9 31.2 32.5 33.8 35.1 36.4 37.7 39.0
0
Distance In chains. l) 6 4 Error in Links. 0.4 0.8 1.2 1.6 2.0 2.4 2.8 3.2 3.0 4.0 4.4 4.8 5.2 5.6 6.0 6.4 6.8 7.2 7.6 8.0 8.4 8.8 9.2 9.6 10. 0 10.4 10.8 11.2 11.6 12.0
0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5 10.0 10.5 11.0 11.5 12.0 12.5 13. 0 13. 5 14.0 14.5 15.0
0.0 1.2 1.8 2.4 3.0 3.6 4.2 4.8 6.4 6.0 6.6 7.2 7.8 8.4 9.0 9.6 10.2 10.8 11. 4 12.0 12.6 13.2 13.8 14. 4 15.0 15.6 16. 2 16. 8 17.4 18.0
Distance In chains. 14 16 15 Error In links. 1.4 2.8 4.2 5.6 7.0 8.4 9.8 11.2 12.0 14.0 15.4 16.8 18.2 19.6 21.0 22.4 23.8 25.2 26.6 28.0 29.4 30.8 32.2 33.6 35.0 36.4 37.8 39.2 40.6 42.0
1.5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 16.5 18.0 19.5 21.0 22.5 24.0 25.5 27.0 28.5 30.0 31.5 33.0 34.5 36.0 37.5 39.0 40.5 42.0 43.5 45.0
98
1.6 3.2 4.8 6.4 8.0 9.0 11.2 12.8 14.4 16.0 17.6 19.2 20.8 22.4 24. 0 25.6 27.2 28.8 30.4 32.0 33.6 35.2 36.8 38.4 40.0 41.6 43.2 44.8 46.4 48.0
9
7
8
0.7 1.4 2.1 2.8 3.5 4.2 4.9 5.6 6.3 7.0 7.7 8.4 9.1 9.8 10.5 11. 2 11.9 12.6 13.3 14.0 14.7 15.4 16.1 16.8 17.5 18.2 18.9 19.6 20.3 21.0
0.8 1.6 2.4 3.2 4.0 4.8 6.6 6.4 7.2 8.0 8.8 9.6 10.4 11.2 12.0 12.8 13.6 14.4 15.2 16.0 16. 8 17.6 18. 4 19.2 20.0 20.8 21. 6 22.4 23.2 24.0
0.9 1.8 2.7 3.6 4.5 5.4 6.3 7.2 8.1 9.0 9.9 10.8 11. 7 12. 6 13.5 14.4 15.3 16.2 17.1 18.0 18. 9 19.8 20.7 21.6 22.5 23.4 24. 3 25.2 26.1 27.0
17
18
19
1.7 3.4 5.1 6.8 8.5 10.2 11.9 13.6 15.3 17.0 18.7 20.4 22.1 23.8 25.5 27.2 28.9 30.6 32.3 34.0 35.7 37.4 39.1 40.8 42.5 44.2 45.9 47.6 49.3 51.0
1.8 3.6 5.4 7.2 9.0 10.8 12.6 14.4 16.2 18.0 19.8 21.6 23.4 25.2 27.0 28.8 30.6 32.4 34. 2 36.0 37.8 39.6 41.4 43.2 45.0 46.8 48.0 50.4 52.2 54.0
1.9 3.8 5.7 7.6 9.5 11.4 13.3 15.2 17.1 19.0 20.9 22.8 24.7 26.6 28.5 30.4 32.3 24.2 36.1 311.0
m.9
41.11 43.7 45.6 47.5 49.4 51. 3 53.2 55.1 57.0
10 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 11.0 12.0 13.0 14.0 15.0 16.0 17.0 18.0 19.0 20.0 21.0 22.0 23.0 24.0 25.0 26.0 27.0 28.0 29.0 30.0 20 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0 22.0 24.0 26.0 28.0 30.0 32.0 24.0 36.0 38.0 40.0 42.0 44.0 46.0 48.0 50.0 52.0 54.0 56.0 68.0 60.0
TABLE S.-STADIA COEFFICIENTS, VERTICAL ROD. CosIlI and
1"
0"
. nor. dlst.
~ sin 211.
Dift.
elev.
nor.
%"
nor.
Dlft.
3" Dlft.
Dlft.
elev.
.0000
.9997
.0006
.9997
.0174 .01llO .0186 .0192 .0198
.9988 .9987 .9987 .9987 .9986
.0349 .0355
.9997 .9996 .9996
.9986 .9985 .9985 .9984
.9984
.0378 .0384 .0390 .0395 .0401
.9967
.0552 .0557 .0563 .0569 .0575
.9983 .9983 .9982 .9982 .9981
.0407 .0413 .0418 .0424 .0430
.9966 .9966
.0586
.9965 .9964 .9963
.0592 .0598 .0604
.9981 .9980 .9980 .9979 .9979
.0436 .0442 .0448 .0453
.0459
.9963 .9962 .9962 .9961 .9960
.0609 .0615 .0621 .0627 .0633
.0465 .0471 .0476 .0482 .0488
.9959 .9959 .9958 .9957 .9956
.0638
dist.
elev.
nor.
dist.
dlst.
elev.
, 0
4 6 8
1.0000 1.0000 1.0000 1.0000 1.0000
10 12 14 16 18
1.0000 1.0000 1.0000 1.0000 1.0000
.0029 .0035 .0041 .0047 .0052
.9996 .9996 .9995 .9995 .9995
.0204 .0209 .0215 .0221 .0227
20 22 24
1.0000 1.0000 1.0000 .9999 .9999
.0058 .0064 .0070 .0076 .0081
.9995 .9994 .9994 .9994 .9993
.0233
.9999 .9999 .9999 .9999 .9999
.0087 .0093 .0099 .0105 .0111
.9993 .9993 .9993 .9992 .9992
.9999 .9999 .9998 .9998 .9998.
.0116 .0122 .0128 .0134 .0140
.9992 .9991 .9991 .9990 .9990
.0302 .0308 .0314
.9978 .9978 .9977 .9977 .9976
54 56 58
.9998 .9998 .9998 .9997 .9997
.0145 .0151 .0157 .0163 .0169
.9990 .9989 .9989 .9989 .9988
.0320 .0326 .0331 .0337 .0343
.9976 .9975 .9974 .9974 .9973
.0494 .0499 .0005 .0511 .0517
.9956 .9955 .9954 .9953 .9952
.0667 .0673 .0678 .0664 .0600
60
.9997
.0174
.9988
.0349
.9973
.0523
.9951 '
.0600
2
26 28 30
32
34 36 36
4d 42 44 46 48
ro 52
c+!
0.75 1.00 1.25
.
0.75 1.00 1.25
.0012 .0017 .0023 .
0.01 0.01 0.02
0.75 1.00 1.25
.0238 .0244 .0250
.0256 .0262 .0267
.0273 .0279 .0285
.0291
.0297
0.02 0.03 0.03
0.75 1.00 1.25
(c+f) cos II and (c+f) sin II. Natural functions
99
.0300 .0366 .0372
0.03 0.04 0.05
.
.9973 .9972 .9971 .9971 .9970 .9969 .9969
.9968 ".9968
0.75 1.00 1.25
.0523
.0528
.0534 .0540 .0546
.0580
.Q644
.0650 .0656 .0661
0.05 0.06 0.08
TABLE 6.-STADU COEFFICIENTS, VERTICAL ROD. CosOv and
I
I
4·
~
sin 2v.
6°
7·
6°
Hor. dist.
Diff. elev.
Hor. dist.
Diff. elev.
Hor. dist.
Diff. elev.
.9924
.0868 .0874 .0880 .0885 .0891
.9891 .9890 .9888 .9887 .9886
.1040 .1045 .1051 .1057 .1062
.985l .9850
.9922 .9921 .9920
.1219 .1215 .1221 .1226 .1232
.0725 .0730 .0736 .0742 .0748
.9919 .9918 .9917 .9916 .9915
.0897 .0003 .0908 .0914 .0920
.9885 .9883 .9882 .9881 .9880
.1068 .1074 .. 1079 .1085 .1091
.9841
.9840 .9839
.1238 .1243 .1249 .1255 .1260
.0753 .0759 .0765
.9914 .9913 .W11 .9910
.0925
.9878 .9877 .9876 .9874 .9873
.1096 .1102 .1108 .1113 .1119
.9837 .9836 .9834 .9833 .9831
.1266 .1272 .1277 .1283 .1288
.0960
.9872 .9871
.0965
.9869 .9868
.1125 .1130 .1136 .1142 .1147
.9829 .9828 .9827 .9825 .9824
.1294 .1300 .1305 .1311 .1317
.9822 .9820 .9819 .9817 .9816
:1322 .1328 .1333 .1339 .1345
Iffsr. d st.
Diff. elev.
.9951 .9951 .9950 .9949 .9948
.0696 .0702 .0707 .0713 .0719
.9923
.9947 .9946 .9946
, 0
2 4 6 8 10 12 14 16 18 20
22
24
26 28 30
32
·34 36 38 40 42 44 46 48
50
.9945
.9944 .9943 .9942 .9941 .9940 .9939
.07n
.ggog
.0948
.0782 .0788 .0794 .0799
.9908
.0964
.9935
.0805
.9934
.0811 .0817
.9Q03
.9938 .9938 .9937
•was
.9933
.9929
.0840
,9897 .9896 .9894 .9893 .9892 .9891
60
.9924
.0868
0. 75 1.00 1.25
.9928
.9927 .9926
0.75 1.00 1.25
0.06 0.08 0.10
.0971 .0977
.00&3
0.75 0.99 1.24
.9865 .9864 .9863 .9861
.1000 .1005
.9860
.1011 .1017 .1022 .1028 .1034
.9858 .9857 .9856 .9864 .9853
.1181 .1187 .1193 .1198 .1204
.9814 .9813 .9811 .9810 .9808
.1350 .1356 .1361 .1367 .1373
.1040
.9851
.1210
.9806
.1378
.0094
,
:9867
.9844 .9843
.1153 .1159 .1164 .1170 .1176
.~
,9901 .9900 .9899 .9898
.0$22 .0l28 .0834
.9925
e+f
.9907 .9906 .9905 .9904
.9932 .9931 .9930
08
64 56
.0937 .0943
.0776
.0845 .0851 .0857 .0863
&2
.0931
.9848 .9847 .9846
0.07 0.09 0.11
0.75 0.99 1.24
(e+n cos v and (e+n sin v. NaturaI functions.
100,
0.08 0.11 0.14
0.74 0.99 1.24
0.10 0.13 0.16
•
TABLB e.-8TADU COEI'PICIENTS. VERTICAL BOD. CosIo and
I
8°
Hor.
~
sin 211.
9° DUr.
dist.
e1ev.
-Hor.
I
10° DUr.
dist.
elev.
.9755 .9753 .9752 .9750 .9748
.1545 .1551 .1556 .1562 .1567 .1573 .1578 .1584
. Ie!
.9746 .9744 .9743 .9741 .9739
• 14M .1440 .1445 .1451 .1456 .1462 .1467 .1473 .1479 .1484
Hor.
Dlff.
11 °
Hor.
DIlI. elev.
.9636
.1873 .1878 .1884 .1889 .1895
dJst.
elev.
.9698 .9694 .9692 .9690
.1710 .1716 .1721 .1726 .1732 .1737 .1743 .1748 • 17M .1759
.9625
.1Ii95
.9688 .9686 .9684 .9682 .9680
.9737 .9735 .9733 .9731 .9729
.1600 .1606 .1611 .1617 .1622
.9678 .9676 .9674 .9672 .9670
.1765 .1770 .1776 .1781 .1786
.9614 .9612 .9605
.1927 .1932 .1938 .1943 .1948
.9728 .9726 .9724 .9722
.9668 .9666
.9684 .9662
.9603 .9600 .9598 .9596 .9593
.1954 .1959 .1964 .1970 .1975
-dlst.
, 0 2 4 6 8
.9806
.1378 .1384
.9803 .9801 .9800
.131;9
10
.9798
12 14 16 18
.9797 .9795 .9793 .9792
20 22 24
.9790
26 28 30 32
.9805
.9788 .9787 .9785 .9783
.9782
.1395 .1401 .1406 .1412 .1417 .1423
.1589
.91i96
.9634 .9632 .9629
.9627 .9623 .9621 .9618 .9616
.0C09
.9607
.1900 .1905 .1911 .1916 .1921
.9720
.1628 .1633 .1639 .1644 .1650
.9660
.1792 .1797 .1803 .HII)8 .1814
40 42 44 46 48
.9773 .9771 .9769 .9768 .9766
.1490 .1495 .1501 .1506 .1512
.9718 .9716 .9714 .9712 .9710
.1655 .1661 .1666 .1672 .1677
.9657 .9665 • !l653 .9651 .9649
.1819 .1824 .1830 .1835 .1841
.9591 .9589 .9586 .9584 .9582
.1980 .1986 .1991 .1996 .2002
50 52 M 66 58
.9764 .9762 .9761 .9759 .9757
.1517 .1523 .1528 .1534 .1li4O
.9708 .9706
.9704
.9702 .9700
.1683 .1688 .'1894 .1699 .1705
.9647 .9645 .9642 .9640 .9638
.1846 .1851 .1857 .1862 .1868
.9579 .9577 .9576 .9672 .9570
.2007 .2012 .2018 .2023 .2028
60
.9755
.1545
.9698
.1710
.9636
.1873
.9568
.2034
34 36
38
c+!
0.75 1.00 1.25
.9780 .9778 .9776 .9775
0.14 0.99 1.23
0.11 0.15 0.18
0.74 0.99 1.23
0.12 0.16 0.21
0.·74 0.08 1.23
(c+/) cos I> and (c+{) sin 1>.
NaiunIl flmctJOII8.
101
0.14 0.18 0.23
0.73 0.08 1.22
0.15 0•.20 0.25
TABLE 8.-8TADIA (lOEFFJ()IENT8, VEBTI(lA.L ROD. Cos2tI and
sin 2~.
13·
12·
.
~
1.·
15·
Hor. dlst •
DUI. elev.
Hor. dlst.
DUI. elev.
Hor. dlst.
DI1f. elev.
Hor. dlst.
DUI. elev.
.9494 .9491 .9489 .9486 .9484
.2192 .2197 .2202 .2208 .2213
.9415 .9412 .9409 .9407 .9404
.2347 .2352 .2358 .2363 .2368
.9330 .9327 .9324 .9321 .9318
.21iOO
.2505 .2510 .2515 .2520
.9401
.2373 .Z378
.9316 .9313 .9310 .9307 .1l8O(
.2525 .2530 .2535 .21140 .2545
.9301 .9298 .9296 .9292 .9289
.2SIiO .2555 .2560 .2565 .2570
.9286 .9283 .9280
.2575 .2580 .2585 .2500 .2595
0 2 4 6 8
.~
.2034
.9565 .9563 .OM1 .9558
.2039
10 12 14 16 18
.951i6 .9553 .9Ml .9549 .91\46
.2060 .2066 .2071 .2076 .2081
.9481 .9479 .9476 .9473 .9471
.2218 .2223 .2228 .2234 .2239
.9398 .9395 .9393 .9390
20 22 24 26 28
.9544 .9541 .9539 .9636 .9634
.2087 .2092 .2097 .2103 .2108
.9468 .9466 .9463 .9460 .9458
.2244 .2249 .221\4 .2200 .2'J66
.9387 .9384 .938l • 11m .9376
.:u09
.9532
.2424 .2429 .2434 .2439
.2044 .2050 .2055
.23113
.2388 .2393 .2399 .2404 .2414 .2419
34 36 38
.9527 .9524 .9522
.2113 .2118 .2124 .2129 .2134
.9455 .9452 .9450 .9447
.2'l70 .2'l75 .2280 .2285 .2291
.9373 .9370 .9367 .9365
40
.2139 .2145 .2150 .21M .2160
.9«2 .9439
48
.9519 .9517 .9514 .9512 .9S09
.9436 .9434 .9431
.2296 .2301 .2306 .2311 .2316
.9359 .9356 .9353 .9350 .9347
.2449 • 24M .2460 .2465 .2470
50 52 114 66 58
.9507 .9504 .91i02 .9499 .9497
.2166 .2171 .2176 .2181 .2187
.9428 .9426 .9423 .9420 .9417
.2322 .2327 .2312 .2337 .2342
.9345 .9342 .9339 .9336 .9333
60
.9494
.2192
.9415
.2347
.9330
30
32
42 44 46
c+!
0.78 1.00 1.26
.1IS29
0.73 0.98 1.22
0.16 0.22 0.27
.11444
0.73 0.97
I 1. 21
0.17 0.23 0.29
.9362
0.73 0.97 1.21
(c+/) cos II and (c+!> SIn II, Natural ftmctlOll&
102
.~
.wn .9274
.1I'm
.2600 .2005 .2610 .2615 .2620
.2475 .2480 .2485 .2490 .2495
·.9256 .9253 .9249 .9246 .9243
.2625 .2630 .2635 .2640 .2645
.21iOO
.9240
.2650
0.19 0.25 0.31
.9268 .9266 .9262 .9259
·0.72 0.116
1.20
0.20 0.27
0.34
TABLE •• -STADIA OOBFt'UlIENTS. VERTICAL BOD. CoI'G aDd ~8hl20.
I
16·
Hor.
17· Diff.
dlst.
e1ev.
0 2 4 6 8
.9240 .9237 .9234 .9231 .9228
.2650
10 12 14 16 18
.9225 .9222 .9219 .9215 .9212
20
.9209
Hor.
18· DUI.
dlst.
e1ev.
.9145 .9142 .9139 • 913S .9132
.2796 .2801 .2806 .2810 .2815
.2679 .2684 .2689 .2694
.9129 . .9126 .9122 .9119 .9116
Hor.
19· DUI.
dlst.
elev.
.9045 .9038 .9035 .9031
.2939 .2944 .2948 .2953 .2958
.2820 .282.'; .2830 .2834 .2839
.9028 .9024 .9021 .9018 .9014
.9112 .9109 .9106 .9102
.2844 .2849 .2854 .2858 .2863
.9096
.2868 .2873
.8990
Hor.
dlst.
DUI.
elev.
, .2659 .2664 .2009 .~74
26 28
.9200 .9197
.2699 .2704 .2709 .2713 .2718
30 32 34 36 88
.9193 .9190 .9187 .9184 .9181
.2723 .2728 .2733 .2788 .2743
.9092 .9089 .9086 .9082
.2882 .2887
40
.9177 .9174 .9171 .9168 .9165
• 2748 .2752 .2757 .2762 .27G7
.9079 .9076 .9072 .9069
.2901
.11066
.2906 .2911
50 52 54 56 58
.9161 .9158 .9152 .9148
.2772 .2777 .2781 .2786 .2791
.9062 .9059 .9055 .9052
.ms
.9048
00
.9145
.2796
.9945
22 24
42 44 48 48
I
• :l6Ii5
c+~ O. 1> 1.00 1.25
.9206
.9203
.91.55
0.72 0.96 1.20
0.21 0.28 0.36
.9099
0.72 0.96 1.19
.9042
.~
.3078
.8lI36
.3083
.8933 .8929 .8926
.3087 .3092 .3097
.2962 .2967 .2972 .2976 .2981
.8922 .8918 .8915 .8911 .8908
.3101 .3106 .3110 .3115 .3119
.9011 .9007 .9004 .9000 .8997
.2986 .2990 .2995 .3000 .3004
.8904 .8900 .8896
.8893 .8889
.3124 .3128 .8133 .8188 .8142
.8993
.'Jtm
.8986 .8983 .8879
.3009 .3014 .3019 .3023 .3028
.8886 .8882 .8878 .S87& .S871 .
.3147 .3151 .3156 .3160 .8165
.2892 .2896
.8876 .8972 .8969 .8865 .8961
.3032 .8037 .3041 .3046 .3061
.8867 .8864 .8860 .8856 .8853
.3169 .3174 .3178 .3183 .3187
.:m4
.8968 .8854 .8951 .8947 .8944
.3055 .3060 .3065 .3069 .3074
.8849 .8845 .8841 .8888 .8834
.3192 .3100 .• 3201 .3205 .3209
.2939
.8940
.3078
.8830
.3214
.21115 .2920
.2930
0.23 0.30 0.88
0.71 0.95 1.19 .
(c+f) ~ 0 and (c+f) ala I!. Natural rUDO'1oD&
103
0.24 0.32 O.fD
0.71 0.94 1.18
0,2.'1 0.33 0.42
'PAstl 1I.-8T!DIA COBPFfCIIIJN'I'S, VERTICAL ROD.
eos'll and ~ sin 2v. 22·
21·
20·
Bor.
DUJ.
elev.
Hor.
dlst.
dlst.
elev.
dlst.
elev.
dlst.
elev.
0
.8830 .8823 .8819 .8815
.3214 .3218 .3223 .3227 .3232
.8716 .8712 .8'708 .8704 .8700
.3346 .3350 .8354 .3359 .3363
.8597 .8593 .8589 .8585 .8580
.3473 .3477 .3482 .3486 .3400
.8473
2 4 6 8
.8465 .8461 .8457
.3597 .3001 .3005 .3009 .3613
.8696 .8692 .8688 .8684 .8680
.3367 .3372 .3376 .3380 .3384
.8576 .8572 .8568 .8564 .8iIOO
.3494 .3498 .3502 .3507 .3511
.3452 .8448 .8444 .8440 .8435
.3617 .3621 .3625 .3629 .3633
.8fiT7 .8673 .8669 .8665 .8661
.3389 .3393 .3397 .3401 .3406
.8556 .8552 .8548 .8544 .8540
.3515 .3519 .3523 .3527 .3531
.8431 .8427 .8423 .8418 .8414
.3637 .3641 .3645 .3649 .3653
.8657
.3410 .3414 .3418 .3423 .3427
.R536 .8531 .8527 .8523 .8519
.3536 .3540 .3544 .3548 .3552
.8410 .8406 .8401 .8397 .8393
.3657 .3001 .3665 .3669 .3673
.8515 .8511 .8507 .8502 .84118
.3556
.3564 .351lS .3572
.8389 .8384 .8380 .8376 .8372
.3677 .3680 .3684 .3688 ·.3692
Bor.
Dlt!.
Hor.
23· DUI.
Dlt!.
, .81126
• &tOO
10 12 14 16 18
.8811 .8808
.8796
.3236 .3241 .3245 .3249 .3254
20 20 28
.8793 .8789 .8785 .8781 .8777
.3258 .3263 .3267 .3272 .3276
30 32 34 36 38
.8774 .8770 .8766 .. 8762 .8758
.3280 .3285 .3289 .3293 .3298
40 42 44 46 48
.8754 .8751 .8747 .8743 .8739
.3302 .3307 .3311 .3315 .3320
.8637 .8833 .8621
.3431 .3435 .3440 .3444 .3448
50 62 54 66 58
.8735 .8731 .8727 .8724 .8720
.3324 .3328 .3333 .3337 .3341
.8617 .8613 .8609 .8605 .8601
.3452 .3457 .3461 . 34f>5 .3469
.8494 .8490 .8486 .8482 .8477
.3576 .3580 .3585 .3589 .3593
.8367 .8363 .8359 .8354 .8350
.3696 .3700 .3704 .3708 .3712
60
.8716
.3346
.8597
.3473
.8473
.3597
.8346
.3716
22
24
e+!
0.75 1.00 1. "1.i
.8804 .8800
0.70 0.94 1.17
0.26 0.35 0.44
.8653
.8649 .8645 .8641
.8G29 .8625
0.70 0.93 1.16
0.27 0.37 0.46
0.69 0.92 1.15
(c+f) cos II and (e+f) sin 11.
Nataral fnocUoaa..
104
.35IiO
0.29 0.38 0.48
0.69 0.92 1.15
0.30 0.40 0.50
TABLE S.-STADIA. COEFFICIENTS, VERTICAL ROD. Cost, and
24·
Bor.
~
sin 2,.
25·
dist.
e1ev.
Ditr.
Bor. dist.
elev.
dist.
.8214
.8205 .8201 .8100
.3830 .3834 .3838 .3841 .3845
.8078 .8074 .8069 .8005 .8060
.3940 .3944 .3947 .3951 .3954
.7939 .7934 .7930 .7925 .7920
.3735 .3739 .3743 .3747 .3761
.8192 .8187 .8183 .8178 .8174
.3849 .3853 .3856 .3860 .3864
.!()55
.8051 .8046 .8041 .8037
.3958 .3961 .3965 .3969 .3972
.7915 .7911 .7906 .7001 .7896
.4062 .4000
.3754 .3758 .3762 .3766 .3770
.8169 .8100
.3867 .3871 .3875 .3878
.8032
.81(iO
.3976 .3979 .3983 .3986 .3900
.7892 .7887 .7882 .7877 .7873
.4079 .4082 .4086 .4089 .4092
.4096
DilY.
dlst.
elev.
8
.8346 .8341 .8337 .8333 .8328
.3il6 .3720 .3723 .3727 .3731
10 12 14 16 18
.8324 .8315 .8311 .8307
Bor.
27·
26·
Ditr.
Bor.
Ditr.
elev.
, 0
2 4
6
20 22 24 26 28
.8320
.8302 .8298 .8293
.~
.3789
.8009 .8004 .8000 .7995 .7900
.3993 .3997 .4000 .4004 .4007
.7868 .7863 .7858 .7854 .7849
.4099 .4102 .4106 .4109
.3793 .3796 .3800 .3804 • awl
.8124 .8119 .8115 .8110 .8106
.3904 .3908 .3911 .3915 .3918
.7986 .7981 .7976 .7972 .7967
.4011 .4014 .4018 .4021 .4024
.7844 .7839 .7834 .7830 .7825
.4112 .4116 .4119 .4122 .4126
.8236 .8232 .8227 .8223 .8218
.3811 .3815 .3819 .3823 .3826
.8101 .8097
.7962 .7968 .7953
.4028
.8087 .8083
.3922 .3926 .3929 .3933 .3936
.7944
.4031 .4035 .4038 .4042
.7820 .7815 .7810 .7806 .7801
.4129 .4132 .4135 .4139 .4142
.8214
.3630
.8078
.3940
.7009
.4045
.7796
.4145
46 IiO 62 M 66 68
00
c+!
.4009 .4072 .4076
.3!186 .3889 .3893 .3897 .3900
.8285
.8!IiR • 82M .8249 .8245 .8241
0.75 1.00 1.25
.4052 .4055 .4059
.8147 .8142 .8138 .8133 .8128
.8289
40 42 44 46
36 38
.4045
.4049
.8028 .8023 .8018 .8014
.8280 .8276 .8272 .8267 .8263
30 32 34
.8209
0.68 0.91 1.14
.3774 .3777
:~~~1
0.31 0.41 052
.8166 .8151
.8092
0.68 0.90 1.13
0.32 0.43 0.54
.7946
0.67 0.89 1.12
(c+/) cos v and (c+/) sin v. 'Natural functions.
105
0. 33 0.45 0.56
1 0. 66 0 89 1 1.11 .
0.35 0. 46 0.68
TABLE 7.-NATURAL SINES AND COSINES. ,
O' •
_
S ine.
Icosln.
I' "
3'
2'
I'
. I~ ~
S lIle. ICosln ,
o .000001O ne.
4' osin.
.01745 , 9'J()!;5 ,03400 1 . 1)I10'.!9 Ooe. , 00 7il 1 .99~S4 .03519 2 . OOO5lS. One. .01803 1 ' 009ij4 .0354 3 . 000071 One. . U1S3~ . 99~ 'II . 03577 4 .00 116 One. . 01tili~ . 99983 ' 03600 5 O ne. .01 91 .990 2 .03ti35 11 .OOli5 Onc. .Ol U20. 9~U:2 . ,I 7 .OO;?O·I One. .0 1 9~U .9f19,'1 .03u9a 8 . 00'J:13 0197' . \XlI)~ 1 . 03i23 9. 00'_'112 O ne. .O!Y.IHO .oa762 10 . O():!'JI O ne . . 0203(;1. 00979 .037BI
.001451
_ 21 22 23
2~
25 25 27 28 29 30 31
. 00320 . 00349 · OQ3jR . 00107 . 0043tl · (.10 1M · 00 1 5 . 0052 1 . 00553 . 00582 . 00011 . 006 10 .00009 . 00'19
. 00727 . 007SIl • ()()7S.') .008 1·1 • OOR·I-I .00 73 .00002
• 9~WII . 9~(),JO .9 !19 .99999 • 9~9Il!l .Omllm1 . 99999 • 99i!9'J
' 02005 • 00II70 . Ol()!l.l . \19978 . 0~12:1 . 9fl9i7
II.
. 02 15~
.OUUT7 . 021 99970 .022 11 .9f1971J . 02210 . 00075 . O~2119 1 . 999H
.90\)!l~ 1 . O:l'.llI~I.OO974 .9Q99.~1 1 . 0.!3~7 .00II73
. 0099' .O~3:ilil .00972 .001fJ~ , . 0~3'G • . 00972 .9\l!l9~ .02~ H .00071 . 99!l9~ . 99!l70 .!lOO97 .ro.J7~ .09%01 • IJll1l<J7 ' • Omll . 99~;9 . 99!l97 .02.5.'1°1' 909('. .1lOO!l7 .
07Ho'l I'
~; :::;~ : =~ :~~~ ~,!) .1lOO!<9 .9999,', ~ . OWlS . !l9H9;
: g~~ : :ml ~
O?!.
one. ,. 1.02007
:gmg :;:~!~I~
. (l9IlI)() . !~)~9S .99'417 .9(I'9r. . !~1'~4
.W' 03
. OO~U2 . \l9~!)()
.!III'SO
. (lOIm
.0011.'>1) .00085 . ()()714
.01101 .Uglll !
.m74~
.~Nj2
.00773
.0<~'02
.\I(I~70 .f)f~"11 .IW''
.9'N,n
.n.;llli .1~"'i7
. 99710 38
• 0070 37 . 99700 .11) . 99703 35 . 911701 ;14 . 00f.!Y.l 33 . 9\lOgCj :rJ .911(,94 31 . 90002 30
• O\l:m .00'<011 . (~\2.'iO .09I"IH .om9.09RO:I .0<j3()8 .9USOI . Of~~17 .997llf1 .0<1.1!lG .ll'Ji07 . (J(j;J\)J • 00711.'0 .011121 .00793 . o.~W; .00153 .9'J7112 . 08 194 . onl~2 .99il1O .0S223 ·.~ \ Ol . 9900-7'U')'II ·.~~~I) 'no"
II
.99731-1 9 . 99731 48 . 99729 41 . 00727 4(1 .9725 45 . 9972'& H . 119721 ,13 . 9971942 , 997W H . 99714 40 .99712 39
:~:t~ : :~o
. 1~1.169 . ()(j.';98
.
57 .nIGSR . 9'1'lS/\
. 00740152
:;:~~I t\
:
:=1:g:!~g : :
. OZ7a4 .99003; . 04017 .0':!7!':1 . \,g\J(121 . 04607 ~Ii .01017 .n.IO,', .0~70~ .II'X~.H .UI.I:I(I 37 . 0107~ .\l\)[)\l4 ' . 0'.!lS'!1 .1J\)!lf/J, .0 15fl5 ;!M .011 M .9\l1Y.H I . 0 = .If')~l.lO , . 01,~1H 39 .011 34 '9W\lI I 'O~ 7'.1 .rY.JO,'>9 , .().J6Za • 0 l in I . 9900,1 . 02908 . \IOO5..~1 • 04tl53
.\l9fM III . 9OOtI418 .!JOO(j117 .Il005916 ~ ""_ . Il005715 '. ~77~ I '. ~~~31 ~ .9001\4 14 "" "" ""', u .9005213 .00780 .0 l>!l . !)96j912 . ~7777" '.~~!!?' .9004711 u. u """.., . 90044 10 .00774 .09455 . 9964 II .99772 .O~""·I . 900:19 8 . \~1170 . Oc.,." 13 . 00li37 7 .Wj,'~ .0S542 . 1IOO3.'i 6 .997W .O'Gll '.~~ 54 .W7HoI .OROO!I """',.,
.ro'~9 .m7U~
.0i<6~ . !IOO27 3
5~ .O I G.~7 .!lII9S4\ .n;H~~ 4'1111 1 .o.j I7r. .9!J~I' ; .I){\\) IB ~'17m . r.Sll.'i~ fiO .0171fl .90~~;' .031111 .!1'f-1I0, .O;j~o.,; .1lIl~t]~ .Om17 .\l975~ . O~I' 7 .0Ii4.' .9lt(l,"" .II:H~ '1~~Jlq[I '''-'~'14 ' 1~1";31·0Iin7(i I .lIj)7~hl _O"L(\ oslll . 1 Sine. : cosill. 1 Sine. Cosln . SI"... l'nsln .1 8In.. Cosin. '
.::0
I -~
I'
:99750 00 . 99754159 • 99752 5 . 00760 57
• (ltjQj {j , 90039 . 05:!.'14 . 1I!1IJ3S .052113 .99.>61 · 07005 • 07004 .9'J9;jj . 07003 . 999aU ,9Il!l35' ,911034 . 99'J~ .9l)9;12 . 11tl93 1 . 0720, .9.00;JfJ ~~fi .9<.)929 . 07295 . \J\Xl27 . 9\J!rl .07324 . 99925 · 07353 .Om4 · 07382 .0Hll . [199'.!3 . !l99:r.l .07440 . 074M9 . 009 ·1 " U\lI111 .0 lOt:! . OWI9 . 07l9. .07527 .010 12 .11!I91~ .07550 .().J071 · 9IHlJ7 .07585 . ().J IOOI .ml .0iG l <1 .(1H2Il1 .1l9915 .01159 .9\)91~ · 07fl43 · 07672 . 0 II . 0091~ · 0770 I .01217 ·1l\l\!1 11 . 012,101 . 99I1I 0 .07730 • 0771;9 . 04275i . !~J9()9; · 0'77~ . 01~1().J . 9(11107, . 07817 . (It!:!:1 . I1!I'JOO • (]4~1i'~' . !l!l!lIlii • 07840 . ().Ja91 .0!J90.1 .OIH3 1 .!I9S 1 ~
8 7·
106
86'
II
. 90025 2 .991i22 1 .00019 ~ S ine.
86·
TABLE 7.-NATUKAL SINES AND COSINES.
• !l\J,1,s1 . 99:ISI .!l!l;H7 · 99[l4~
. OO:Yll .993:l7 . 003.14 .99:-131 .!r.l327 •
:f.!4
. 99
.99317
.09314
. 00310 .09307 .99J03
.99300 .9921J7
.99293
.99200
•092116 .OO~
.99279 .00276, .99272
.00269 . 992r.; . 00262 .121
. !J92I)
. 12J87 . 1l!P..M
C
Cosln.
1---:::-:-:---11---'-,,--1
107
Co_ill. Sinc. 80'
TABLE 7.-NATUBAL SINES AND COSINES.
,
10'
Sine. Cosln.
12'
11' Sine. Cosln.
---- --.19081 .98163
0 .17365 .98481 1 .17393 .98476 · 19109 2 .17422 .98471 · 19138 3 . 17451 .98466 .19167 • 17479 . 98461 · 19195 .17508 .98455 · 19224 6 .17537 .98450 · 19252 7 .17565 .98445 .19281 8 .17594 .98440 · 19309 9 .17623 .98435 · 19338 10 .17651 .98430 .19366 11 .17680 .98425 .19395 12 .17708 .98420 • 19423 13 .17737 .98414 .19452 .17766 .98409 · 19481 .17794 .98404 • 19509 .17823 .98399 • 19538 17 .17852 .98394 • 19566 18 .17880 .93389 .19591 19 .17909 .98.'l83 .19623 ~ .17937 .98378 .19652 .17966 .98373 · 19680 .17991 .98368 · 19709 23 .18023 .98362 .19737 .1805' .98357 .19766 .lsog~ .98352 .19794 26 .1810 .98347 .19823 27 .18138 .98341 .19851 28 .18166 .98336 .19880 .18195 .98331 .19908 .18224 .98325 .19937 31 .18252 .98320 .!~ 32 .18281 .98315 .111994 33 .18aJ9 .98310 .20022 .18338 .98304 .:10051 .18367 .98299 .20079 .18395 .98294 .20108 .13424 .98288 .20136 38 .13452 .98283 .20165 39 .13481 .98277 .20193 40 .18509 98272 .20222 41 .l853i .98267 .~ • 1 .98261 .~279 42 .98256 .20307 43 44 .18624 • 98250 1 .20336 .18652 .98245 , .20364 .18681 .98240 .~3 47 .18710 .98234 1 .20421 48 .18738 .98229 .20450 49 .18767 .98223 1 .20478 00 .18795 .98218 .~ 51 .l8824 .98212 .20535 52 .18852 .98207 .~ 63 .18881 .98201 .2069'J 54 .18910 .98196 .20620 55 .18938 .98190 .~9 Ii6 .18967 .98185 .20077 .18995 .98179 .~06 .19024 .98174 .~734 69 .111052 .98168 .~63 00 .11lO81 .98163 • ~91
~
1:~~
.~
.~
I: I~
I~
:~r
,:
l~
-:- Cosln. Sine. 79'
I~
• 207911' 97815 • 22495 .97437 .24192 .97030100 · 20820 .97809 · 22523 . 97430 .24220 .97023,59 · 20848 .97803 • 22552 .97424 24249 . 97015.58 .24277 .97008 57 · 20877 . 97797 .24305 .97001 56 • 20905 .97791 • 24333 .9m94 55
:~::~m :~~:m~ :=:~~: .22693 .97391
• 20990 • 21019 .21047 .21076
.21104 .21132 .21161
I .2121 .21l~
· 2124 .21275 .21303
:=:~~~ :~ :=:~~~
:~m:~=
.21445 .21474 .21502
:~~~
.21587 .21616 .21644 .21672 .21701
:m:
.97969 .97963 .97958 .97952 · 97946 .97940 · 97934
.21786 .21814 .21843 , 21871 . 21899 .21928
:~~J:i~ 1
.9791611 .97910, • 97905i • 978W,
.22013 .22041 • 22070 .22098
:~~~~i
:iim .22183
.978811 · 97875 · 97869 • 97863 .97857 .97851 .97845 .97839 .97833 .97827 .97821 .97815
:~:=r
.97772 .97766 · 22722 .97384 • ~~ .97700 .2 .97754 · 24474 .97365 · 24503 .~~ .97742 · .97358 · 24531 .24559 .97735 .24587 .97729 .97723 .~~ .97338 .24611 .97717 .2294 .97331 .24644 .97711 • 24672 · 229~J .97325 .~; • 2300 . 97318 .230 .97311 • 2:4l62 .97304 .24756 .~ .97298 .24784 · 23118 . 97291 .24813 .97673 .97284 .24841 .97667 .97278 .24869 .97661 .23203 .97271 :24897 .9765: .97264 .24925 .97648 .97257 .24954 .97642 .23288 .97251 .24982 .97636 .97244 .25010 .97630 .97237 .2li038 .97623 .2337~ .97230 .2llO66 .97617 .23401 .97223 .25094 .97611 .23429 .97217 .25122 .97004 .25151 .97598 • 23486 .97203 .25179 .23514 .97196 .25207 · 2354 .97189 .25235 .97579 .23571 .97182 .26263 .23599 .97176 .25291 • 23627 .97169 .25320 .97560 .~ .97162 .97553 · 23684 .97155 .97547 .23712 .97148 .25404 .97541 ' .23740 .97141 .97534 .23769 .97134 .97528 .97127 .25488 .97521 • .971201 .25516 .97615 97113 .25545 .97508 .23882 .971061 .25573 .97502 I .23910 .97100' .25601 .97496 I .~ .97093 .25639 .97489 , • 23900 • 97086 .25657 .97483 '.~5 .97079 .281185 .97476I .24023 .97072 .:lM13 .97470 .24051 .97065 .:lM41 .97463 .24079 .97058 .:lM69 .97457 I .24108 .97051 • :15198 .97450 1 .24136 .97044 .25826 .97444 . . 24164 .97037 .97437 I .24192 .97030
• 22212 • :l224O . 22268 .22297 .22321 .22353 .22382 .22410 .22438 .22467 .22495
:~m
:= :~~
:~~ :~m
Cosm.
Sine. 77'
108
1
.9697352 .96966 51 . 96959 50 .969.52 49 .96945 48 • 96937 47 .96930 46 .9692345 .9691 44 .96909 43
:~ig
:i~~ :~692
. 98044 .98039 .98033 .98027 .98021 .98016 .98010 .98004 .97998 .97992 .97987 .97981 .97975
78'
14' Sine. Cosln.
~--
.98157 .98152 .98146\ .98140 .98135 .98129 .981241 .98118 .98112, .981071 .98101 .98096 .98090 . 98184 .9!m9 .9lll73 . 911)67 .98061 .98056 . 98050
CosIn. Sine.
13' Sine. Cosln.
Sine. ICosin.
lmwI
:=
:=
I
Sine. 16?
.96858 36 .96851 35 .96844 34
.96837 33
.96829 32 .9682231 .96815 30 .96!m 29 .96800 28 .96793 27 .96786 .96778 .96771 24 23 22 .96749 21 .96742 ~ .9673419 .9672718 .9671917
~
::±~
!:~ :=j!1~
I
:2385ii .
iCosm.
.96880 39 .96873 38
.96866 37
.96111714 .9660013 .96682,12 .96675:11 .9666710 .96MO 9 .96653 8 .96645 7 .96638 6 .96630 6 .96623 4 .96615 3
.961108 2
:=:=~
j CosIn.
81ne'l-:76'
T&8I.B 7.-N&TUBU SINES &ND COSINB8.
109
TABLB 7.-ltAft&AL SINES ..lND COSINBS.
no
TABLE 7.-NATURAL SINES AND COSINES.
,
26·
26° Sine.
Bine. Cosin.
~
----
• 42262 • 42288 • 42315 3 • 42341 .42367
'i ~ ~
.42 .42 .42473 .42499 .42525 11 .42552 12 .42578 13 .42604 .42631 .42657 .42683
1~
~~ I~
l;~ :~~
.90631 • 43837 • 90618 • 90006 • 90594 .43916 .90582 .43942 .90569 .43968 .90557 .43994 .90545 .44020 .90532 .44046 .90520 .44072 .90567 .44098 .90495 .44124 .90483 .44UH .90470 .44177 .90458 .44203 .90446 .44229 .90433 .44255 .90421 .44281 .90408 .44307 .90396 .44333 .90383 .44359
~ :~ .~
::1
.44464
.90321: .44490 • 90309 1 .44516
.42972 .902961 .44542 • 90284 1 .44568
~ :~
• 90271 1 .44594
1
30 .43051 • 90259 .44620 31 32 33 34 35
.43077 .43104 .43130 .43156 .43182 38 .43209
.90246 .44646 .90233 .44672
.90221 .90208 .90196 .90183 .90171 .90158 .43287 .90146 .43313 .90133
~ ::i ~ 41
~ ~
l·~~
.43366 • 43392 • 4341 • 43445 • 43471 • 43497 • 43523 .43549 50 .43575 51 .43602 52.43628 53.43654 54.43680 55 .43706 56 .43733 57 .43759 58 .43785 59 .43811 60 .43837
~
~
-
,
I Sine.27°Cosin. 1 1
.89879 .45399 • 45425 .45451 • 45477 .89828 .45503 .89816 .45529 .89803 .45554 .89790 .45580 .89777 .45606 .89764 .45632 .89752 .45658 .89739 .45684 .89726 .45710 .89713 .45736 .89700 .45762 .89687 .45787 .89674 .45813 .89662 .45839 .89649 .45865 .89636 .45891 .89623 .45917 .89610 .45942 .89597 .45968 .89584 .45004 .89571 .46020 .89558 .46046 .89545 .46072 .89532 .46097 .89519 .46123 .89506 .46149 .89493 .46175 .89480 .46201 .89467 .46226 .89454 .46252 .89441 .462781 .89428 .4(',304; .89415
:~:~= .89841
.42762 .42788 21 .42815 .90371 1 .44385 22 .42841 • 903581 .44411 .44437 23 .42867
~
Cosln.
.90108 • 90095 .90082 .90070 • 90057 • 90045 • 90032 .90019
.90007 .89994 .89981
.89968 .89956
.89943 .89930 .89918 .89905 .89892 .89879
.44698 .44724 .44750 .44776 .44802 .89402 .44828 .89389 .44854 .89376 .44880 .89363 .44906 .89350 .44932 .89337 .44958 .89324 .44984 .89311 .45010 .89298 .45036 .89285 .45062 .89272 .45088 .89259 .45114 .89245 .45140 .89232 .45100 .89219 .45192 .89206 .45218 .89193 .45243 .89180 .45269 89167 • 1 .45295 .89153 .45.121 .89140 .45347 .89127 .45373 .89114 .45399 .89101
.891011 • 89087 .89074, • 89061
.89048 .89035 .89021
.89008 .88995
.88981 .88968 .88955 .88942 .88928 .88915 .88902
.88888 .88875 .88862
.88848 .88835 .88822 .888081
.887951 .88782 • 88768i .88755, • 88741i .88728 .88715,1 88701 • 1
.88688
J~&~tl
.886471 .88634 • 8859~ .88580 .88566
.88553 .88539 .88526
.46536 .88512
.46551 .88499 .8848,'; .88472 .46639 .88458 .46664 .88445 .40090 .88431 .46716 .88417 .46742 .88404 .46767 .88390 .46793 .88377 .46819 .88363 .46844 .88349 .46870 .8833f> .46896 .88322 .46921 .88308 .46947 .88295
::~
--- -- -- -- -Cosln. Sine. Cosln. Blne. Cosln. SIne. 64°
63°
. 46947 • 46973 .46999 .47024 .47050 .47076 .47101 .47127 .47153 .47178 .47204 .47229 .47255 .47281 .47306 .47332 .47358 .47383 .47409 .47434 .47460 .47486 .47511 .47537 .47562 .47588 .47614 .47639 .47665 .47690 .47716 .47741 .47767 .47793 .47818 .47844 .47869 .47895 .47920 .47946 .47971 .47997 .48022 .48048 .48073
1
:j:: • 46381 • 46407 • 46433 .46458 .46484 .46510
28°
~~ne ..
62·
III
.48099
.48124 .48150 .48175 .48201 .48226 .48252 .48277 .48303 .48328
.48354
Cosin.
I Sine.29°Cosin.:'I
• 88295 .88281 .88267 .88254 .88240 .88226 .88213 .88199 .88185 .88172 .88158 .88144 .88130 .88117 .88103
.88089 .88075 .88062 .88048 .88034
.88020 .88006 .87993 .87979 .87965 .87951 .87937 .87923 .87909 .87896 .87882 .87868 .87854 .87840 .87826 .87812 .87798 .87784 .87770 .87756 .87743 .87729 .87715 .87701 .87687 .87673 .87659 .87645 .87631 .87617 .87603 .87589 .87575 .87561 .87546 .87532 . 87518 .87504 .87490
• 48481 • 48506 .48532 .48557 .48583
.48608 .48634
.48659 .48684 .48710 .48735 .48761 .48786 .48811 .48837 .48862 .48888 .48913 .48938 .48964 .48989 .49014 .49040 .49065 .49090 .49116 .49141 .49100 .49192 .49217 .49242 .49268 .49293 .49318 .49344 .49369 .49394 .49419 .49445 .49470 .49495 .49521 .49546 .4U571 .49596 .49f122 • 49f>47 .49672 .49697 .49723 .49748 .49773 .49798 .49824 .49849 .49874 .49899 .49924 .49950 .49975
• 87462.60 • 87448 59 .8743458 .87420:57 .87406 56 .87391155 .873771 54 .87363;53 .87349,52 .87335151 .87321 50 .B'!~ 49 .87292 48 .8727847 .87264 46 .87250 45 .8723544 .87221 43 .87207 42 .87193 41 .8717840 .87164 39
:~:m"J
38
37 .8712136 .87107 35 .8709334 .8707933 .87064 32 31 30
:~~
.8700129 .87007 28 .8699327 .8697826 .8696425
•:~24 23 .8692122 .8690621 .8689220 • 86878h9 .86863'18 • 86849!17 8683H6
: 86820 111;
.86805,14 .86791113 .8677712 .86762111 .8674810 .86733 .86719 .86704 .86690
9 8 7 6 .8OO?~ 6
.
.:~ 3 .86632 2
.48379 .48405 .48430 .48456 .874?~ .48481 .87462
.50000 .86603 0
Cosln. SIne.
Cosln. Blne.
61"
60°
.80017 1
-
,
TABLE 7.-NATUBAL SINES AND COSINES.
112
TABLB 7.-IUT1l"IlAL SINHS AND OOSINES•
• 71879 • G4078 • 71 1 . 64100 .7784J • a.U23 .71S24 .0045 .71S0H . (;4167 .04100 . 6'1212
• 767Tl .7G7.&1 . 16735 . 76711 . 7009~ . 7ti1li9 . 70061 • (l.!234 .701)42
41479-10---8
113
9 8 7 G b
TABLE 1.-NlTU1UL SINES .'Nt) COSINES.
31
.71
. 760'!'~ · iOOJ3
.7122325
.7J~2t
. 75027
. 7ll 23 .71102,22 . 71 HI 21 .71121 20
.75\JO'<
· i .i . ~9
. 75So0,
.1
.75 .1\51 •. 75;a~ 1 · [.5210 . 75 13,
.tlOOhi • G!lO!<X
:~~~ :~iR~1
· 731~~ .69100
:.73113 ~.:~~ I:~~lrll .()!)In
.6520, . 7r.73~
· 653~,() . 757W
• 7331)3 · 73373 . 1335.1 · 73333 . 73314 . 7321H • 7;lr.~
• 1i5312 . 7:i711O · li53Gt . j 5[,'<0 50 .65380 . 75W1 51 .6510!' • 75642 52 • Ii5430 • 756'.?:! 53 .1i5-15~ . 75/"JIH 54 .1i54H • 75.~'i.'i 55 . 651 ; . 7~"
Sf. • (l5.;1~ .7';'; 1;' ,
57 • 6.~5jO .75..';2, 5 .Il....-;r.~ . 7S5O'1 59 .M5~1 .7\1!~1 61) ./l,'JO)I; . '';4i!
-: Co~ ;;i~1 "0 '
_
.71284 )
·71_ .~ :Z7 .7124.1,:!6
· 7S!Ji\~ . 7500.J • 75!J.1r.
. 69J 93 . 60211
.6!I"..J;) • 6!Y.!Sf.
.09'.?7i . nil [.
• W·"'" . 7'_'a " ./\!l3W . i207J .00;140 . i$"'1 . G!l3IiI .7'203:' • G~31Q . 7'201:.i • G9lO:1 .7199:.,
• G!J.I~ I . 71 07J .f,
("osln . - 4- ' - - -
- -"":'i-·-- I
114
Cosln. Sine. 16"
.71100119 . 71 1 . 71()59 17 . 71039110 .71019'15 .71
,14
• 7097S 13 • 7OD~7 12
.70'J3 II . 7001° 10 19 .7
:~~I ~ .7
"' 0
.7 13 5. .70100 • .70772 3 .70752 2 .70(.11 1
.roiU
0
~~-
45"
TABLE S.-NATURAL· TANGENTS AND COTANGENT8.
l~
I,
3·
. 00000 Inftnl teo
.01746 .01775 .01804 .01833 .01862 .01891 .01920 .01949 .01978 .02007 .02036 .02066 .02096 .02124 .02153 .02182 .02211 .02240 .02269 .02298 .02328 .02357 .02386 .02415 .02444 .02473
• 03492 . 03:i21 .03550 .03579 .03609 .03638 .03667 .0369& .03725 .03754 .03783 .03812 .03842 .03871 .03900 .03929 .03958 .03987 .04016 .04046 .04075 .04104 .04133 .04162 .04191
.02531 .02560 .02589 .02619 .02648 .02677 .02706 .02i35 .02764 .02793 .02822 .02851 .02881 .02910 .02939 .02968 .02997 .03026 .03055 .03084 .03114 .03143 .03172 .03201 .03230 .03259 .03288 .03317 .03346 .03376 .03405 .03434 .03463 .03492
57.2900 56.3.'i06 55.4415 54.5613 53.7086 62.8821 62.0807 51. 3032 50.5485 49.8157 49.1039 48.4121 47.7395 47.0853 46.4489 45.8294 45.2261 44.0386 44.0661 43.5081 42.9641 42.4335 41.9158 41.4106 40.9174 40.4358 39.9&55 39.5059 39.0568 38.6177 38.1885 37.7666 37.3579 36.9560 36.562i 36.1776 35.8006 35.4313 35.0695 34.7151 34.3678 34.0273 33.6935 33.3662 33.0452 32.7303 32.4213 32.1181 31.8205 31. 5284 31.2416 30.9599 30.0833 30.4116 30.1446 29.8823 29.6245 29.3711 29.1220 28.8771 28.6363
Cotang.
Tang.
------ ------ ------
.00873
31 32
.00902
,
I
Tang. Cotang. , Tang. Cotang.
30
60
2·
Cotang.
.00029 .00058 .00087 .00116 .00145 .00175
34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 62 53 54 65 56 67 68 59
1· Tang.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2i 28 29
33
-
O· Tang. Cotang.
.00204 .00233 .00262 .00291
.00320 .00349 .00378 .00407 .00436 • 00465 .00495 .00524 .00553 .00582 .00611
.00640 .00669 .00698 .0072i .00756 .00785 .00815
.00844 .00931 .00900
.00989 .01018 .01047 .01076 .01105 .01135 .01164 .01193 .01222 .01251 .01280 .01309 .01338 .01367 .01396 .01425 .01455 .01484 .01513 .01542 .01571 .01600 .01629 .01658 .0168i .01716 .01746
3437.75 1718.87 1145.92 859.436 68i.549 572. 957 491.106 429.718 381. 971 343.774 312.621 286.478 264.441 245. 552 229.182 214.858 202.219 190.984 180.932 171. 885 163.700 1.'i6.259 149.465 143.237 137.507 132.219 12i.321 122.774 118.640 114.589 110.892 107.426 104.171 101.107 98.2179 95.4895 92.9085 90.4633 88.1436 85. 9398 83.8435 81.8470 79.9434 78.1263 76.3900 74.7292 73.1390 71. 6151 70.1533 68.7501 67.4019 66.1055 64.8580 63.6567 62.4992 61.3829
00.3058 59.2659 58.2612 57.2900
1
.02502
.04220 .04250
.042i9 .04308 .04337 .04366 .04395 .04424 .04454 .04483 .04512 .04541 .04570 .04599 .04628 .04658 .04687 .04716 .04745 .04774 .04803 .04833 .04862 .04891 .04920 .04949 .04978 .05007 .05037 .05066 .05095 .05124 .05153 .05182 .05212 .05241
------28. 6363 ' .05241 19.0811 00 28.3994 .05270 18.9755 59 28.1004 .05299 18.8711 58 27.9372 .05328 18.7678 57 2i.7117 .05357 18.6656 56 2i.4899 .05387 18.5645 55 2i.2i15 .05416 18.4645 54 2i.0566 .05440 18.3655 53 26.8450 05474 18.2677 62 26.6367 .05503 18.1708 51 26.4316 .05533 18.0750 50 26.2296 .05562 17.9802 49 26.0307 .05591 17.8863 48 25.8348 .056.."0 17.7934 47 25.6418 .05649 17.7015 46 25.4517 .0.'i678 17.6106 45 25.2644 . .05708 17.5205 44 25.0798 .05737 17.4314 43 24.8978 .05766 17.3432 42 24.7185 .05795 17.2558 41 24.5418 .05824 17.1693 40 24.3675 .05854 17.0831 39 24.1957 .05883 16.9990 38 24. 0263 1 .05912 16.9150 37 23.8593 .05941 16.8319 36 23.6945 .05970 16.749& 35 23.5321 .05999 16.6681 34 23.3718 .06029 16.5874 33 23.2137 .00058 16. 6075 32 23.0577 .06087 16.4283 31 22.9038 .06116 16.3499 30 22.7519 .06145 16.2i22 29 22.0020 .06175 16.1952 28 22.4541 .06204 16.1190 2i 22.3081 .06233 16.0435 26 22.1640 .06262 15.968i 25 22.0217 .06291 15.8945 24 21. 8813 .06321 15.8211 23 21. 7426 .06350 15.7483 22 21. 0056 .06379 15.6762 21 21.4704 .06408 15.0048 20 21.3369 .06437 15.5340 19 21. 2049 .06467 15.4638 18 21. 0747 .0649& 15.3943 17 20.9400 .06525 15.3254 16 20.8188 .06554 15.2571 15 20.6932 .06584 15.1893 14 20.5691 .06613 15. 1222 13 20.4465 .06642 15.0557 12 20.3253 .06671 14.9898 11 20.2056 .06700 14.9244 10 9 20.0872 .06730 14.8596 8 19.9702 .06759 14.7954 19.8546 .06788 14.7317 7 6 19.7403 .06817 14.6685 19.6273 .06847 14.0059 5 19.5156 .06876 14.5438 4 3 19.4051 .06905 14.4823 2 19.2959 .06934 14.4212 19.1879 .06963 14.3007 1 19.0811 .06993 14.3007 0
I
1.
------ - - - - - Cotang. - - - - - - - - - - - - ,Cotang. Tang. Tang.
Cotang.
Tang. 89·
88·
I 115
87·
86· ..
,
'l'... BLE 8.-lU'I'lI.... L 'UIfS.N'1'8 ... U oot'... NGEliTS.
o
Tang.
Ii
6'
Cotang';i Tang.
I
6-"
11
Cotang.
Tang.
.- - - - - - - 1 - - - - - - - - - - - o .06993 14.3007 .08749 11. 4301 .10610 9.51436 1 .07022 14.2411 .08778 11.3919 .10540 9.48781 2 .07051 14.1821 .08807 11.3540 .10569 9.46141 3 .07080 14. 1235 .08837 11.3163 . 101i19 9. 43515 4 .07110 14.0665 .088Il6 11.2789 .10628 9.40904 5 .07139 14.0079 . • 08895 11.2417 .10657 9.38307 6 .07108 13.9897 .08925 11.2048 .10687 9.35724 7 . on 97 13.8940 .08954 11.1GBI .10716 9.33155 8 .07227 13.8378 .08983 11. 131fi .10746 9.3059\1 9 .07266 13.7821 .09013 11. 0954 .10775 9.28058 10.07'286 13.7267 .09042 11.01;94 .10805 9.25530 11 .01314 13.6719 .09071 11. 0237 .108.14 9.23016 12 .07344 13.6174 .09101 10.9882 .10863 9.20616 13 .07373 13.5634 .09130 10.9529 .10893 9.18028 14 .01402 13.5098 .09159 10.9178 .10922 9.151'>54 15 .07431 13.4Il66 .09189 10.8829 .10952 9.13093 16 .07461 13.4039 .00018 10.8483 .10981 9.10646 11 .07490 13.3515 .09247 10.8139 .11011 9.08211 18 .07619 13.2996 .09277 10.7797 .11040 9.05789 19 .07548 13.2480 .09l06 10.7457 .11070 9.03379 20 .07678 19,1\169 .09335 10.7119 .11099 9.00983 21 .07M\' 13.1461 .09366 10.6783 .11128 8.1JMl8 22 .OT636 13.09681.09394 10.6460 .11158 8.96227 23 .07665 13.0468 .09423 10.6118 .11187 8.93867 24 .07t195 12.9962 • Q9.153 10.5789 .11217 8.91520 25 .07724' 12.9469 I • Q9.182 10.5462 .11246 8.89181> 26 . OT7.'l3 12. 89111 . 09511 10. 5136 . 11276 8. 86862 27 .07782 12.8496 .09041 10.4813 . 11306 8.84551 28 .07Bt2 12. SOH .09670 10.4491 .11335 8. B22.'i2 29 .01841 12.7536 .09600 10. 4172 . 11364 8.79964 30 .0I'l!70 12.7()&2 .096:19' 10.3854 .11394 8. 77~ 31.67899 12.6591 .08608 10.31138 .11423 8.75425 32 .07929 12.6124 .09&88 10.3224 .11452 8.73172 33 . U7958 12.50lI0 .09'1'17 10.2913 . 114~2 8.70931 34 .07987 12.5199 .09146 10.2602 .11511 8.68701 35 .O8()17 12.4742 .09'1'76 10.2'294 .11541 8.66482 36 .08046 12.4288 . 0ge05 10.1988 .11570 8.64275 37 • ()8(t15 12.3838 . 098.~4 10. 1683 .11600 /8.62078 38 . 0Si04 12.3390 .098G4 10.1381 .11629 8.59893 39 .08134 12.2946 .091\98 1O.101!0 . 11600 8.57718 40 .08163 I 12.2605 .09923 1O.07SO .11688 8.55555 41 .01!19'l 12.2OIIV .00!I62 10.0483 .11718 8.1i3402 42 .08221 12.1632 .0!I981. 10.0187 .1l747 8.512.19 43 .08251 12.1201 .10011 9.911931 .11777 8.49128 44 .08280 12.0772 I .10040 9.90007 . 11806 8. 47007 45 .08309 12.0346 I .10069 9.93101 . 11836 8.44896 46 .08319 11. 992.~ .10099 9.90211 .118611 8.42795 47 .08368 11.9504 .10128 9.87338 .11896 8.40706 48 .08397 11.9087 .10158 9.84482 .11924 8.38625 49 .08427 11.8673 .10187 9.81641 .11954 8.36656 ~ .08-456 11. 8262 .10216 9.78817 .1l989 8.34496 51 .08485 11.7858 .1024& 8.76009 . 12013 8.32446 52.0851411.7448 .102759.73217 .120428.30406 53 .08544 II. 7045 .10805 9.7001 . 1~ 8.2!1376 54 .08573 11.6645 . 10834 9.67680 . 12101 8.263M 55 . 0S602 11.6248 . 10363 9.64986 . 12131 8.24346
~
58 59 00 o
:: . 08G90 .08720 .08749
7'
!
Cotang. I Tang.
CotnDg.
I
0
-- .--- I-.12308 .12278 8.14435 60 8.12481 iii .12338 8.10536 . 12367 8.08600 .123978.06674 .12426 8.04756 .12466 8.02848 .12486 8. 00948 .12511. 7.9!r.WI .12544 1.97176 .125747.95302 .12603 7.9343i .12633 7.91582 .12662 7.89734 .12692 7.87895 .12722 7.86OM .12751 7.84242 .12781 7.82428 .12810 7. 80822 .128«l 7.7!1112li .12ll1l9 7. TI8.16 .1289t 1.7~ .1292111 7.73480 .12111i11 7.71715 .121188 7.89M7 . UOl7 7. Cl8208 . 13Of1 7. ~ . 13076 7.64732 .18106 7.8M85 . 13100 7.6W7 .13ffi6 7.611175 .131!6 7.1Jr372 .13224 7.66176 .13:l54 7.54487 .13284 7.52M6 .13313 7.51132 .13343 7.49465 .13372 7.4T806 .134011 7.46154 .134.-n 7.44509 .13461 7.4!2Im .13491 7.4l:!4O .13521 7.39616 .136liO 7.3",*, . 13580 7.36389 .13609 7.34786 .13639 7.33190 .13669 7.3Um ,136118 7. :lOOts .13728 7.:1i442 .13718 1.:l1li73 .13787' 1.211110 .138177.237&4 .13846 1.2'.I:IOf . 13876 7.20161 . 13906 7. 19125
58 57 ro 55 54 53 52 61 liO 49 48 47 46 46 44 43 ~
41 «I 3t 38 37 36 36 34 33 33 31 ao 29 28 21 26 25 24 23 22 21
~
111 18 17 16 16 14 13 12 II 10 • I 7 • 6
U:~~ I :t~~ g:;~~ :m~ g:~ I; :U:~ U~ ~
11.5072:.10452 11.4GB5 1 .10481 11.4301 1_.10510
Cotan~.1 Tnng. 85'
9.56791 .12219 8. HmO 9.54106 .12249 8. If,~98 9.5143G.~2278 .!I.I44M
Cotang. Tan~. 84'
1
Cotang. Tang. 83'
116
II .13995 .14024, ! .14054
7.14563 2 7.13042 1 7.l1.'j87 I~
Cotang.
Tang.
il
sao
0
'tABLE 8.-l'fA1'UBAL TANOBN1'S AND CO'I'ANORIf'M. S·
,
Tang. Co Lang.
o 1 2 3 4 6 6 7 8 o 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 211 30 31 32 33 34 35 36 37 38 39 40 41 42 43
.101054 . 1.t0804 .14113 .14143 .14173 .14200 .14232 .14262 .14291 .14321 .14351 .14381 .14410 .14440 .14470 . 14499 .14529 .14550 .1458S .14618 . 14648 .14678 • 14707 . 14737 .14767 .14796 .14826 • 14856 .14886 . 141115 .14945 . 14975 . 11iOO6 . 15034 . 11iOO4 . 15094 .15124 .15153 .16183 .15213 . 15243 .15272 • 1liSOO .15332
I
9° i 10° Tang. Cotang. I Tang. Cotang.
7.11537 .15838 7. 10038 . 15568 7.08M6 .15891l 7.07059 .15928 7.05579 15958 7.04105 .15988 7.02637 .10017 7.01174 .10047 6.99718 .10077 6. 98268 .16107 6. 96823 .16137 6.90385 .16167 6.93052 .16196 6.92525 .16226 6. 91104 .16256 6.89688 • 16286 6. 88278 .16316 6. i6874 1.16346 6.85475 .16376 6.84082 .1twOS 6.82694 . 16435 6.81312 .16465 6. 79936 . 16496 6. 78564 . 16525 6. 77199 .16556 6. 75838 .16585 6. 74483 .16615 6. 73133 .16645 6. 71189 .16674 6. 70450 . 16704 6. 69116 .16734 6. 67187 • 16764 6. 66463 . 16794 6. 65144 . 16824 6. 63831 .16854 6.62523 .16884 6. 61219 .16914 6. 50021 .16044 6.58627 .16074 6. 67339 .17004 6. 60055 . 17063 6. 64777 .17063 6. 5.1503 • 17093 6.52234 .11123
~ :~~~ ~~ig I :m~ 46 .15421 6. 48456 . 17213 47 48 49 50 61 52 53 64 65 56 67 53 59 i~
.
j
,
.15451 .15481 .15511 .15540 .15670 .l.'i6OO .1li63O .1li66O .15689 .15119 .15749 .15779 .1.1809 .1.>338
6. 47206 6. -4.5961 6. 44720 6. 43484 6.42253 6. 41026 6. 3Il804 6. 38687 6. 37374 6.3IIl65 6. S4Il(1l 6. 33761 6. 325n6 6.31375
6. 31375: 6. 30189 6.29007 6. 27829 6.26655 6.25486 6. 24321 6. 23100 6.22003 6. 20851 6. 19703 6. l8559 6.17419 6.16283 6. 15151 6. 14023 6.12899 6.11779 6. 10664 6.09552 6.08444 6.07340 6. 06240 6. 05143 6. 04051 6. 02962 6. 01878 6. 00797 6. 99720 5. 98646 5. 97576 6. 06510 6. 95448 5.94390 6. 93335 5. 92283 5. 91236 5. 90191 5.89151 6.88114 5. 87080 5. 8tlO51 5. 85024 5. 84001
t=
5. 80053 .17243 5. 79944 .17273 5. 78938 .17303 5. 77936 .17333 5. 76937 .11363 5.75941 .17393 5.74049 .17423 5. 73960 .17453 5. 72074 .17483 5. 71992 .175135.71013 .17543 6.70037 .175i3 5. 60064 .17603 5. 6R094 .17633 5.67128
Cow.g. Tang. IColang. Tang. 31" SOo
.17633 • 17tlG3 .17693 .17723 .17753 .17783 .17813 .17843 .17873 .17903 .17933 .17963 .17993 .18023 .18053 .18083 .18113 .18143 .18173 .1&203 . 18233 .18263 . 18293 . 18323 .18353 .18384 .18414 . 1844.4 .18474 . 18504 .18534 . 18564 . 18594 .18624 . 18654 • 18684 .18714 . )8745 .18776 .18B06 . l8835 .1S866 • l8896 .18925
II
11°
Tang.
Cotang.
'
5.67128 .19438 5.14455 5.66165 . 1<1468 5. 13G5S 5.65205 .19498 5.12862 5. 64248 .19529 5.12069 5. 63295 .19559 5. 11279 5.62344 .19580 5. 10490 5.613\17 .19610 5. 00704 5.00452 .19640 6. 081121 5. Ml511 .10080 5. 08139 5. ~73 .19710 5. 07360 5. 57638 .19740 5. OG584 5. 56766 .19770 5. O®l!l 5.5lfT77 . 19S01 5.06037 5. 54851 1.19831 5. 04267 5. 53927 .19861 5. 03499 5.53007 . 19891 5.02734 5. 52090 .19921 5. 01971 5. 51176 .19052 5.01210 5. 50264 .19082 5.00451 5.49356 .20012 4. 991)95 6. 48451 .20042 4. 98940 6. ~548 .20073 4. 98188 5. 46I.l48 .20103 4. 97-438 5. 45751 • 20133 4. Q669() 5. 44857 .20164 4.1IIi945 5. 43Il66 .20194 4. Q.S201 5. an7 . 2Qn44. ~400 5. 42192 • ~504 4. 93721 5. 41309 .20285 .4. 92984 5. ~ . 20315 4. 92249 6. 89552 .20345 4. 91516 5. 38677 .20376 4. 90785 6. 371i05 .20406 4.90056 5. 36036 .20436 4. 89.'\30 5.36070 .204fJ6 4.88605 5. 35206 .20497 4. 87882 5. 34345 .20527 4. 87162 5. 33487 .20557 4. R6444 5.32631 .20538 4. 85727 5.31778 .20618 4. 85013 5.30928 .20648 4.84300 5. 30080 .20679 4. 83990 5. 29235 . 20709 4. S2882 5. 28393 .20730 4. 82175
CO 59 53 57 56 65 64 53 52 51 50 49 48
:=
:~= t~m
~
46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17
!.~~ ~~
. 19016 5. 25'l8O .20830 4. 80068 14 .19046 5. 25048 .20801 4.79370 13 .10076 5. 24218 .20891 4.78673 12 .1.9106 5. 23391 .20921 4. 77978 11 .19136 5.22566 .20962 4. 77286 10 .1.9166 6.21744 .2Ql8\! -4.76695 9 .19197 6.20025 .21013 4.75906 8 .19227 6. 20107 .21043 4. 75219 7 .19257 5. Hl293 .21073 4.74534 6 .11l1287 5. 18480 .21104 4.73851 6 .193175.17671 .211344.731704 .19.347 5.16&33 .21164 4.72490 3 .19378 5. 1C058 .21195 4.71813 2 .19408 5. 152.56 .21225 4. 71137 1 ..:....~~ 5.H455I'~~ 4.70463 _o_ Cobwg.
117
'rang. ;Cobwg.
70°
II
Tang. 78°
,
TABLE 8.-NATURAL TANGENTS AND COTANGENTS.
,
12" Tang.
I
Cotang.
------ - -.21256 4.70463 0 1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33
34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 00 51 52 53 M 55 56 57 58 59 00
,
.21286 .21316 .21347 .21377 .21408 .21438 .21469 .21499 .21529 .21560 .21590 • 21G21 .21651 .21682 .21712 .21743 .21773 .21804 .21834 .21864 .21895 .21925 .21956 .21986 .22017 .22047 .22078 .22108 .22139 .22169 .22200 .22231 .22261
-- .21087 .23117 .23148 .23170 .2320. .23240 .23271 .23301 .23332 .23363 .23393 .23424 .23455 .23485 .23516 .23547 .23578 .2300R .23639 .23670 .23700 .23731 .23762 .23793
4.69791 4. f).Q121 4.68452 4.67786 4.67121 '1.66458 '1.65797 •. 65138
4.G4480
•. 63825 4.63171 4.62518 4.61868 4.61219 4.60572 4.59927 4.59283 4.58641 4.58001 •. 57363 4.56726 4.56001 4.55458 4.54826 4.54196 4.53568 4.52941 4.52316 4.51693 4.51071 4.50451 4.49832 4.49215 .22292 4.48600 .22322 4.47986 .22353 4.47374 .22363 ' 4.46764 . 22H4 4.461.';5 .22444 4.45548 .22475 4.44942 .22505 4.44338 .22536 4. 4373S .22567 4.43134 .22f1J7 4·.42534 • 22628 4.41936 .22658 4.41340 .22689 4.40745 .22719 4.40152 .227.10 4.39560 .22781 4.38969 .22811 4.38381 .22842 4.37793 .22872 4.37207 .22903 4.36623 .22934 4.36040 .22964 4.35459 .22995 4.34879 .23026 4.34300 .23056 4.33723 .23087 4. 331481
Cotang.
.23823
.23885 I'~~
'rang.
77"
13" 'l'ang.
.23916 .23946 .23977
.24008 .24039 .24069 .24100 .24131 .24162 .24193 .24223 .24254 .24285 .24316 .24347 .24377 .24408 .24439 .24470 .24001 .245;12 .24562 .24593 .24624 .24655 .24686 .24717 .24747 .24778 .24809 .24840 .24871 .24902 .24933
Cotang.
II
14"
I
Cotang·1 Tang.
4.33148 I .24933 4.01078 4.32573 I .24964 4.00582 4.32001 ' .24995 4.00086 4. 31430 ~ .25026 3.99592 4.30860 1 .25056 3.99099 . ;!5087 3.98607 4.30291 .25118 3.98117 4.29724 .25149 3.97627 4.29159 4.28595 .25180 3.97139 .25211 3.96651 4.28032 .25242 3.96165 4.27471 4.26911 .25273 3.95680 4.26352 3.05196 .~ 4.25795 .25335 3.94713 4.25239 .25366 3.94232 4.24685 1 .25397 3.93751 4.24132 .25428 3.03271 4.23580 .25459 3.92793 .25490 3.92316 4.23030 4.22481 .25521 3.91839 4.21933 .25552 3.91364 .25583 3.90890 4.21387 4.20842 .25614 3.90417 .25645 3.89945 4.20298 4.19756 .25676 3.89474 4.19215 .25707 3.89004 4.18675 .25738 3.88536 .25769 3.88068 4.18137 4.17600 .25800 3.87601 4.17064 .25831 3.87136 4.16530 .25862 3.86671 4.15997 .25893 3.86208 4.15465 .25924 3.85745 4.14934 .25955 3.85284 •. 1440.5 .25986 3.84824 4.13877 .26017 3.84364 4.13300 .26048 3.83906 4.12825 .26079 3.83449 4.12301 .26110 3.82992 4.11778 .26141 3.825.37 4.11256 .26172 3.82083 4.10736 .26203 3.81630 4.10216 .26235 3.81177 4.0%99 .26266 3.80726 4.09182 .26297 3. 80~76 4.08666 .26328. 3.79827 4.08152 .26359 3.79378 .2C,390 3.78931 4.07639 4.07127 .26421 3.78485 4.06616 .26452 3.780,10 4.06107 .26483 3.77595 4.05599 .26515 3.77152 4.05092 .26546 3.76709 4.04586 .26577 3.76268 3.75828 •. 03578 .26639 3.7531!8 4.03076 .26670 3.749.10 4.02574 .26701 3.74512 4. 02074 • 26733 3.74075 4.01576 .26764 3.73640 4.01078, 26795 3.73205
'~M'
Tang.
70"
• 26795 .268'£ .26857
.28612 .28643 .28675
3. 73205 3.7Z771 3.72338 3.71907 3.71476 3.71046 3.70616 3.70188 3.69761 3.693.'l5 3.08909 3.68485 3.68061 3.67638 3.67217 3.00796 3.66376 3.65957 3.65538 3.65121 3.6470.5 3.64289 3.63874 3.63461 3.63048 3.62636 3.62%24 3.61814 3.6140.5 3.60996 3.60588 3.60181 3.59775 3.59370 3.58966 3.58562 3.58160 3.57758 3.57357 3.56957 3.56557 3.56159 3.55761 3.55364 3.54968 3.54573 3.54179 3.53785 3.53393 3.53001 3.52609 3.52219 3.51829 3.51441 3.51053 3.50666 3.00279 3.49894 3.49509 3.49125 3.48741
Cotang.
Tang.
.26888 .26920 .26951 .26982 .27013
.27044 .27076 .27107 .27138 .27169 .27201 .27232 .27263 .27294 .27326 .27357 .27388 .27419 .27451 .27482 .27513 .Z7545 .27576 .27607 .27638 .27670 .27701 .27732 .27764 .27795 .27826 .278.';8 .27889 .27921 .27952 .27983 .28015 .28046 .28077 .28109 .28140 .28172 .28'i03
.28234 .28266 .28297 .28329 .28360 .28391 .28iI23 .28454 .28486 .28517 .28549
1_ I.
i Cotang.
Tang.
11---76" US
I·
16" Tang., Cotang. _'_
Cotang.
------
.28580
'00 59 58 57 56 55 54 53 52 51 00 49 48 47 46 45 44
43 42 41 40 39 38 37 36 35
34 33 32 31 30 29 28 27 26 '25 24 23 2'J 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
0
- - - - - - -1 -
I
7""
,
TABLB 8.-NA.TURAL TANGENTS AND COTANGENTS.
,
0"
16·
17·
18·
Tang. Cotang.
Tang. Cotang.
Tang. Cotang.
• 30573 .30605 .30637 .30669 .30700 .30732 .30764 .30796
• 32492 .32524 .32556 .32588 .32621 .32653 .32685 .32717 .32749 .32782 .32814 .32846 .32878 .32911 .32943 .32975 .33007 .33040 .33072 .33104 .33136 .33169 .33201 .33233 .33266 .33298 .33330 .33363 .33395 .33427 .33460 .33492 • :13524 .33557 .33589 .33621 .33654 .33686 .33718 .33751 .33783 .33816 .33848 .33881 .33913 .33945 .33978 .34010 .34043 .34075 .34108 .34140 .34173 .34205 .34238 .34270 .34303 .34335 • 343f>8 .34400 .34433
------- -------
.28675 1 .28706 2 .28738 3 .28769 4 .28800 6 .28832 6 .28864 7 .28895 8 '.28927 9 .28958 10 .28990 11 .29021 12 .29053 13 .29084 14 .29116 15 .29147 16 .29179 17 .29210 18 .29242 19 .29"274 20 .29305 21 .29337 22 .29368 23 .29400 24 .29432 25 .2941'>3 26 .29495 27 .29526 28 .29558 29 .29590 30 .29621 31 .29653 32 .29685 33 .29716 34 .29748 35 .29780 36 .29811 37 .29843 38 .29875 39 .29906
40
.29938
41 42 43 44 45 46 47 48 49
.29970 .30001 .30033 .30065
60 51 62 63
64 55 56 57 68 69
.30097 .30128 .30160 .30192 .30224 .30255 .30287 .30319 .30351 .30382 .30414 .30446 .30478
.30509 .30541 .30573
3.48741 3.48359 3.47977 3.47596 3.47216 3.46837 3.46458 3.46OBO 3.45703 3.45327 3.44951 3.44576 3.44202 3.43829 3.43456 3.43081 3.42713 3.42343 3.41973 3.41604 3.41236 3.40869 3.40502 3.40136 3.39771 3.39406 3.39042 3.38679 3.3R317 3.37955 3.37594 3.37234 3.36875 3.36516' 3.36158 3.35800 3.35443 3.35087 3.34732 3.34377 3.34023 3.33670 3.33317 3.32965 3.32614 3.32264 3.31914 3.311;65 3.31216 3.30868 3.30521 3.30174 3.29829 3.29483 3.29139 3.28795 3.28452 3.28109 3.27767 3.27426 3. 27085
.3iJ828 .30860 .30891 .30923 .30955 .30987 .31019 .31051 .31083 .31115 .31147 .31178 .31210 .31242 .31274 .31306 .31338 .31370 .31402 .31434 .31466 .31498 .31530 .31562 .31594 .31626 .31658 .31690 .31722 .31754 .31786 .31818 .31850 .31882 .31914 .31946 .31978 .32010 .32042 .32074 .32106 .32139 .32171 .32203 .32235 .32267 .32299 .32331 .32.'l63 .32396 .32428 .32460 .32492
3. 27085 3.26745 3.26406 3.26067 3.25729 3.25392 3.25055 3.24719 3.24383 3.24049 3.23714 3.23381 3.23048 3. 22715 3.22384 3.22053 3.21722 3.21392 3.21063 3.20734 3.20406 3.20079 3.19752 3.19426 3.19100 3. 18n5 3.18451 3.18127 3.17804 3.17481 3.17159 3.16838 3.16517 3.16197 3.15877 3.15558 3.15240 3.14922 3.14605 3.14288 3.13972 3.13656 3.13341 3.13027 3.12713 3.12400 3.12087 3.11775 3.11464 3.11153 3.10842 3.10532 3.10223 3.09914 3.09606 3.09298 3.08991 3.08685 3.08379 3.08073 3.07768
.34433 .34465 .34498 .34530 .34563 .34596 .34628 .34661 .34693 .34726 .34758 .34791 ~:t1~g .34824 3.03854 .34856 3.03556 .34889 3.03260 .34922 3.02963 .34954 3.02667 .34987 3. ()?-372 .35020 3.02077 .35052 3.01783 .35085 3.01489 .35118 3.01196 .35150 3.00903 : .35183 3.00611 .35216 3.00319 .35248 3.00028 .35281 2.99738 .35314 2.99447 .35346 2.99158 .35379 2.98868 .35412 2.98580 .35445 2.98292 .35477 2.98004 .35510 2.97717 .35543 2.97430 .35576 2.97144 .35608 2.96858 .35641 2.96573 .35674 2.96288 .35707 2.96004 .35740 2.95721 .35772 2.95437 .35805 2.9515,5 .35838 2.94872 .35871 2.94591 .35904 2.94309 .35937 2.94028 .35969 2.93748 .36002 2.93468 .36035 2.93189 .36068 2.92910 .36101 2.92632 .36134 2.92354 .36167 2.92076 .36199 2.91799 .36232 2.91523 .36265 2.91246 .36298 2.90971 .3G331 2.90096 .36364 2.90421 .30397
3.07464 3. 07160 3.06857 3.06564 3.06252 3.05950 3.05649 3.05349 3.05049 3.04749
,
Tang.
71·
72· ,
)
119
19· Tang. Cotang.
3.07768
60 ------ ._----Cotang. Tang. Cotang. Tang. Cotang.1
73· ,
I
I
2.90421 2.90147 2.89873 2.89flOO 2.89327 2.89055 2.88783 2.88511 2.88240 2.87.970 2.8nOO 2.87430 2.871.61 2.86892 2.86624 2.86356 2.86089 2.85822 2.85555 2.85289 2.85023 2.84758 2.84494 2.84229 2.83965 2.83702 2.83439 2.83176 2.82914 2.82653 2.82391 2.82130 2.81870 2."81610 2.81350 2.81091
2.80833
2.80574 2.80316 2.80059 2. 191m 2•. 79545 2.79289 2.79033 2.78778 2.78523 2.78269 2.78014 2.77761 2. n507 2.77254 2.77002 2.76750 2.76:198 2.76247 2.75996 2.75746 2. 75496 2.70246 2.74997 2.74748
, 60 59
58 57 56 55 54 63 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37
36 35 34 33 32 31 30 29 28 27 26 25 24
23
I
,
22 I 21 20 ! \9 18 , 17 Hl 15
Ui f3 12 11 10 jl
8 7 6 •5
11
3 2 '1 '0
- ' - --I----' Cotang. _Tang. ,. 7~·
j
in M'I'1:\IIGft'I'8.
TABLB 8.-IU'ftlBU "AN8!fts 20· Tang. Cotang.
22·
21" Tang. Cotang.
Tang. Cotang.
------ ------ ------0 .36397 2.H748 .38886 2.00609 .4Gt03 1 2 3 4
.36430 .36f63
.36f96 .36629
(,
.361i62
6 7
.36695 .36628
8 II
.:16661
10
11 12 13 14
15
16· 17 18 19 20 21 22
.361114
.3fUZl .36760
.367o."l .36826 .368/;'11 .36892
.36W25 .36968 .361191 .37004 .37057
2. 74~99 2.74251 2.741104 2.7:\766 2. ,:a,'I09 2.7:1:163 2.1JlOl1 2.1:1171
.38420
2.f:0283
.38463 .3St87 .38020
2.1~1157
2.n'i26 2.7Z281
.38Il87
2.7200II 2. 71792 2. 7·l548 2.71305 2.71062 2.70819 2.70517 2.70335 2.70094 2.69853
.38154 .38787 .388l1
24 26
'l7
118 29
30 31
35
86 37
38 39
.37190 .37223 .37256 .37289 .31322
.3r.155 •:J1388 .37422
2.67225
.37488 .37621 .31554 .37Ji88 .37621
2.66752 2.66516 2.66281 2.66046 2.65811 2.65576 2.65342 2.65109
.3765~
.3700
.31720
46
.37154 .37787 .37820 .37853 .37887
off,
.37920
~
(7 48
49 50 51 52
53 54 55 66 57 58
M
.37953 .37986 .38020 .38053
.38086
.381~ .3815.~
.38186 .S8220 .38253 .38286
.3&120 .38353
60 .38386 -, CotaDg.
....
.38888 .38921 .38955 .38988
.39022 .39055 .39122 .39156 .39190 .39223 .3112S7 .39290 .39324 .39357 .39391 .39425 .39458 .39492 .39626 .395S11 .39693
~1
43
.381\54
.390811
40
42
.38721
.37123
32 .37465 2. 6e989 33 34
.38i87 .38620 .38664
.37090
23 .37157 25
.~
2.64875 2.64642 2.64410 2.64177 2.1\3\145 2.63714 2.63483 2.63252 2.63021 2.62791 2.62561 2.62332 2.62103 2.61874 2.61646 2.61418 2.61190 2.60003 2.00736 2. r.0509
Tang.
00·
.31162tl
.30060
.39OOt .39727 .39761 .39795 .39829 .39862 .39896 .39930
.311963 .3Il997 .40031
.40065 .40098 .40132 .40106 .40200 .40234 .40267 .4Q.101 .40335 .4IXlC,9 .4Gt03
2.1\1Ii<Jl 2•.WIOO 2,~1
2. !I{I166 2.Jl!'Jil2
2.1I~708
2.n484
2 ••J~2:61 2.1l8Q68 2.57815 2.571193 2.57371 2.57150 2.56928 2.66707 2.66487 2.56266 2.56046
.40436 .40470 .~
23· (',otanI!.
T8ng~
.42+17 .42482 .42516 .~2&51 .~
.40538 .40572
.40806
.42619 .42654
.-t0640 .4Q674 •..f(J7rt1 .40741
.d122 .6157
.~
.42191
.4M15 2.46246
.4Il809
2.ti043
•./Ii](fi1
2.441).~6
. .to&I3
::ll .401179 .41013 .41047 • 41OS1
2.~839
2.~33
2.+1200 2.4402'7 2.43&25 2.43623 2.43422
.~2826
.42860 .42894 .~
.42963 .42998 .43032 .43067 .43101 .43136 .4&170
.~l1f5 2.65827 2.654108 .411411 .4lW5 2.65389 .41183 .432311 2.6&170 .41217 .4327~ .41251 2.64952 .43308 .~12S5 2.64734 .43343 2.64516 .413111 .43378 2.54299 .41353 • .a412 .41387 2.64082 .43447 2.53865 .41421 .43481 2.53M8 .41456 2.41223 .43516 2.53432 .~1490 2.41025 .43650 2.53217 .41524 2.408Z7 • 43&R.S 2.63001 .41558 2.~0629 .~3(j2O 2.57186 .41S92 2.40432 .43IiM .41626 2.40235 2. 52.S71 .431!89 .41660 2.40008 .43724 2.52357 .41694 2.39841 2.52142 .43758 2.51929 .41728 2.39645 .43793 51715 .41763 2.39~9 ' .43828 2. 1 2.51502 .41797 2.39253 .438(,2 .41831 2,39058 .43897 2.51289 2.51076 .418U6 2.38863 .431132 2.50864 .41899 2.38668 .43006 .41933 2.38473 2.500.S2 .44001 2.50«0 .41968 2.38279 .44036 .~2002 2.38084 2.50229 .~1 2.50018 .42036 2. 37l!91 .~I05 .42070 2. 37t97 2.49807 .44140 2.49597 .42105 2.31504 .44175 2.40086 .42139 2.37311 .~21O 2.'49177 .42173 2.37118 .44244 2.48967 .42207 2.36925 .442711 2.48758 .42242 2.86733 .4431( .42276 2.36541 2.48549 .44349 2.48340 .42310 2.31'>349 .443114 .4~5 2.36158 .444111 2.48132 .42379 2.35967 2. 47924 .~453 2.47716 .42413 2.35776 .44488 .42447 . 2.35585 .4452.1 2.47500
- - - ._--
Cotang.
I
2.35585 2.35396 2.35205 2.35015 2.34825 2.34ti36 2.34447 2.34258 2.34969 2.:13881 2.33693 2.335(j5 2.33317 2.33130 2.3294~
2.32756 2. 32570 2.3Zl83 2.32197 2.32012 2.31826 2.31641 2. 31456 2.31711 2.31086 2.30902 2.30718 2.30534 2.30351 2.30167 2.29984 2.29fi01 2.29619 2.29437 2.29254 2.29073 2.28891 2.28710 2.28628 2.28348 2.28167 2.7191!7 2.711ll6 2.27626 2.21~7
2.71267 2. 27088 2.2f.909 2.261a0 2.26652 2.26374 2.26196 2.20018 2.25840 2.26&3
120
(0
59 58 57 56
is 54 53 62 51 50 49 .(8
47 46 45 ~
43 42 41 40 39 38 37
36 35 34 33
32 31 30 29
28 Z7
26
25
24
23
22 21
20 19 18 17 16 }6
14 13
12 11
10
II 8 7 6
2.~86
Ii
2.253C9 2.25132 2.24956 2.24780 2.24604
(
--- --- ---
Tang. I Cotang. Tang. I('~. Tang. 87· 00· I
--88-·--1
-
3 2 1 0
-
TABL'JIl '8.-NATUa'U "~8 ltND flOTAW9BJf'I'S.
I
.!I
24° P 25° 26° ' , __ . Tang. Cotang.1 Tang. cotan g Tang. ! Cotang.
I
o 1 2 3 4
.44523 .44551! .44693 .44662
7
.4..G7
.44627
2.:l4OO41
2. 24428 2.24252 2.240771 2.23902
2. 23378 2.23204 .44S3'{ 2.23030 10 .44872 2.22857 11 .44907 2.22683 12 .44942 2.22510 13 .44977 2.22337 14 .40012 2.22164 15 .45047 2.21992 16 .4r082 2.21819 17 .45117 2.21647 18 .46152 2.21475 19 .45187 2.21304 20 .45222 2.21132 21 • .al57 2.20961 22 .45292 2.20790 23 .45327 2.20619 24 .45362 2.20449 26 .45297 2.20278 26 .45432 2. 201~ 27 .45467 2.1GG38 28 .45002 2.19769 29 .45638 2.19699 30 .45573 2. 19430 31 .4SiIl! 2.19261 32 .45M3 2.19092 33 .45678 2. 11m3 34 .45713 2.18755 35 .45748 2.18587 36 .45784 2.18419 37 .45819 2.18251 38 .45854 2.18C84 39 .45889 2.171H6 40 .46924 2.17749 41 .46960 2.17682 42 .4aK15 2.17416 43 .46030 2.17249 44 .46066 2.1700 45 :46101 2. HlU17 46 .46136 2.16751 47.461712.16585 48 .46206 2.1Gf20 49 .-46242 2.16255 50 .46277 2.16090 51 • 46312 2. lliQ25 52 .46348 2.15760 53 .46383 2. 15696 M .46418 2.1543l1 55 .46451, 2. 15268 56 .46489 2.16l.04 57 • 46525 2. 14940 58 .46IiOO 2.14777 69 .46696 2.14614 ~ .46631 2. 14451 . «800
c..tang. TaDg. ' . 8 00
2.14451 I .487i3 ' 2.05030 2. 14288 i • 4B809 2. 04879 2.14125 I .48846 2.04728 2.13963 .48881 2.04577 2.13801 .48917 2.04426
.50953 • 50989 .51026 .61063 .61099
.46879
2. 13316 2. 131M 2.1m3 2.12832 2. 12671 2. 12511 I 2. 12350, 2. 12190 i 2. 120.10 2.11871 2.11711 2.11552 2.11392 2.11233 2.11075 2.10016 2.10758 2.10600 2.10442 2.10284 2.10126 2.tli969
. 51209 .51246 .51283 .51319 .51a56 .51393 .51430 .51467 .51503 .51MO .51577 .51614 .5U151 .51688 .51724 .51761 .51798 .51&35 .Si8i2 .51goo .51946 .51983
.46914 .M\Q5O
1.96261 1. 961~ 1. 959,9 1. 95838 1. 95698
160
I 69
,58 157 I 56
~:t~~ :~~ ~:g:m :~m~ U~ft I~ . 40026 .40062
.40098 .49134 .49170 .4U206 •~ .49278 .49316 .49351 .49387 .49423 .49469 .49495 .49632 .49668 .49604 .49640 .49677 .49713 .49749 .49786 .49822 .49858 .49894 .49931 .49967 .1iOOO4 .liOO4O .1iOO76 .50113 1.50149 .50186
2. 03975 2.03825 2.03675 2.03526 2.03376 2.03227 2.03078 2.02929 2.02780 2.02631 2.02483 2.02335 2. 00187 2.02039 2.01891 2.01743 2.0U96 2.01449 2.01302 2.01155 2.01008
.46985 .47021 .47056 .47092 .47128 .47163 .47199 .47234 .47270 .47305 .47341 .47377 .47412 .47448 .47483 .47519 .475.56 .47590 .47626 2.~62 .47662 2.~11 2.00715 .47698 2.09654 2.00569 .47733 2.09498 2.00423 .47769 2.09341 2.00077 .41806 2.09184 2.00131 .47840 2.09028 1.99986 .47876 2. ffi872 1.119841 .47912 2. M716 1. 99695 .47948 2.Mfi60 1.99Ii5O .47984 2.M405 I.GQt06 .4ilC10 2.!Vl25O 1. 99£61 .48055 2.08094 .50222 1.99116 .48Q01 2.07039 .60258 1.98972 .-48127 2.07785 1'1i0296 1.98828 .48163 2.07630 i .50331 1.98684 .48198 2.07476 .[,0068 1.98540 .482.'14 2.07321 .60404 1. 98396 .48270 2.07167 .50441 1.98253 .48306 2.07014 .1iOi77 1.98110 .483422.06860 .605141.97966 .48378 2.06706 . ro55O 1.97823 .48414 2.06553 .50587 1. 97681 • 48450 2. 08400 • 50623 1. 97638 .48486 2.96247 .50660 1.97395 .48521 2.06094 .50696 1. 97253 .48557 2. 0Ii942 .50733 1. 97111 .4859B 2. 05'f90 .50769 1.96969 .48629 2.05637 . flM06 1. 96827 • 48665 2. 05485 . 50643 1. 96685 .48701 2.05333 • ro879 1. 96044 .48737 2.05182 .50916 1. 91\402 .48773 2. 05030 ~1iOO53_ 1. 96261
I
I
27° , Co tang. _
.46631 • 46666 .46702 .46737 .46772
::=
~ :::~~ ~:~
8 9
Tang.
Cotang. Tang. !'Cotang. Tang. 64° &3°
II
lZl
.50020
.52057 .62094
.62131 .62108 .52205 .52242 .52279 .62316 .&353 .52390 .52427 .62464 .62501 .52538
.52576 .62613 .52650
.62687 .52724 .52761 .52798 . 52i36 .52873 .62910 .62947 .52985 .53022 • 53069 .53096 .5al34 .53171
1. 95277 53 1.00137 62 1.94997 51 1. 948.58 50 1.94718 49 1. 94.'i79 48 1. 94440 47 1. 94301 46 1. 94162 45 1.1MIl23 44 1.911885 43 1.93746 42 1. ~ 41 1.93470 40 1.93332 39 1. 93195 38 1. 93057 37 1. fl292(J 36 1.'92782 35 1.92645 34 1. ~ 33 1.92371 32 1.92235 31 1. 92008 30 1. 91962 29 1. 91826 28 1. 91690 27 1.91554 26 1.91418 25 1. 91282 24 1.91147 23 1.91012 22 1. i0876 21 1.90741 20 1.90607 19 1.90472 18 1.90337 17 1.90203 16 1. 90069 15 1. 89935 14 1.8QIlO1 13 1.89116712 1. 89633 11 1. 89400 10 1. 811266 9 1.89133 8 1. 89000 7 1. 88867 6 1. 88734 5 [ 1. 88602 4 1. 88469 3 1.88337 2 1. 88205 1 1. 88073 ~
I Cotang.1
I
Tang. 62°
'
TABLE 8.-NATURA.L TAN&BNT8 AND COTAN&ENTS.
I
28"
I
30" 31' 29° 1 Co tang. Tang. Cotang. Tang. Cotang. - - - - - - -,I----=-:- - - ~---
I
Tang. Cotang. 0 1 2
3 4 5 6 7 8 9
.53171 .5.1208 • 53246 .53283 • 53320 .53358 • 53395 .53432 .53470 .53507
10 .53545 .5.1582 .53620
11 12 13 14 15 16 17 18 19 20 21 22 23
24 25 20 27 28 29 30 31 32 33 34
35 30 37 38 39 40 41
42 43 44 45
40 47 48 4Y
50 51 52 53 54 55 50 57 5S 59 UO
.53M7 .53694 .53732 .53769 .5:l807
.53844 .53882 .539'20 .5.1957 .53995 .54032 .54070 .54107 .54145 .54183 .542"..0 .54258
.54296 .54.'1.13 .54371 .54409 .54446 .54484 .54522 .54560 .54597 .54635 .54673 .54711 .54748 .54786 .54824 • 54S02 ..~4900 .54938 .51975 .55013 .55051 .55089 .55127 .55165 .05203 • 552H .55279 .5;;.117 .5.;355 .55.193 .05431
1.88073 1. 87941 1. 87809 1. 87677 1. 87546 1.87415 1. 87283 1.87152 1.87021 1.86891 1.86700 1.86630 1.86499 1.85369 1.86239 1. SOI09 1. 85979 1. 85850 1.85720 1. 8.5591 1.85462
.55431 .55469 .55507 • 55545 .55583 .55621 .55659 .55697 .55736 .557H .55812 .55850 .55888 .55926 .55964 .56003 .56041 .56079 .56117 .56156 .56194
1. 85333 1.85204 1.85075 1. 84946 1.84818 1.84689 1.845Gl 1.8443-1 1.84305 1.84177 1.S4049 1.83922 1. 83794 1.83667 1.83540 1. 83413 1.83286 1. 83159 1.83033 1. 82906 1. 827SO 1. 82654 1. 82528 1. 82402 1. 82276 1.112150 1.820"..5 1.81899 1.81774 1. 81649
.56232 .56270 .56.109 .56.147 .56385 .56424 .56462 .56501 .5M39 .56571 .56616 .56654 .5669:\ .56731 .56769 .56808 .50846 .56885 .56923 .50962 .57000 .57039 .57078 .57116 .57155 .5719.1 .57232 .57271 .57~09
1. 81524 1.81399 1.81274 1. 81150 1. 810'lS 1. 80001 1. 80777
.57348 .57.186 .57425 .57464 .57503 .57541 . 575SO .57619
1. soro53
•57Co57
1. 8!l529 1.804!l5
. 57C,OO .577:15
---- --Cotang. Tang. I Cotang. I
61'
I
Tang.
I
1. &>4051 1. 80281 1. S0158 1. 80034 1.79911 1. 79788 1. 79665 1. 79542 1. 79419 1.19296 1. 79174 1.79051 1. 78929 1.78807 1. 78685 1 78563 1. 78441 1. 78319 1. 78198 1. 7S077 1. 77955 1. 77834 1. 7771.1 1. 77592 1. 17471 1. 77351 1. 77230 1. 77110 1. 76990 1. 76869 1. 76749 1.76629 1. 76510
1.7C.390 1. 76271 1.76151 1. 76032 1. 75913 1. 75794 1. 75675 1.75556 1. 75437 1. 75319 1. 75200 1.7.';082 1. 74964 1. 74846 1. 74728 1. 74610 1. 74492 1. 74375 1.74257 1.74140 1. 74022 1. 7.19!l5 1. 73788 1. 73671 1.7~
1.73-138 1. 73.121 1. 73205
.57735 .57774 .57813 .57851 .57890 .57929 • 579
1. 73205 • 60086 1. 73089 • 60126 1.72973 .60165 1. 72857 • 60205 1. 72741 • 60245 .60284 1. 72025 1. 72509 : .60324 1. 72393 ' • 60364 1. 72278 .60403 1. 72163 .60443 1. 72047 .60483 1. 71932 .60522 1. 71817 .60562 1. 71702 .00602 1. 71588 • ClO&42 1. 7147.1 .60681 1. 71358 .6Oi21 1. 71244 .em61 1. 71129 .60S01 1. 71015 .00841 1.70901 .60881 1.10787 .60921 1. 70073 .60900 1. 705£0 .61000 1. 70446 .61040 1. 70332 .61080 1.70219 .61120 1. 70106 .61160 1. 69992 .61200 1. 69879 .61240 1.69i66 .61280 1. 696,';,1 .61320 1. 69541 .61360 1.69428 .61400 1. 69316 .mHO 1. 69203 • 614SO 1. 69091 .61520 1.f>8979 .61561 1.68866 .61601 1.68754 .61641 1.68643 .61681 1.68531 .61721 1. 08419 .61761 1.68308 • 61S01 1.68196 .61842 1.68085 .61882 1.67974 .61922 1.6786.1 .01962 1.67752 .62003 1. 67641 .62013 1.67530 .62083 1. 67419 • e.2124 1. G7309 .02164 1. 67198 .62204 1. 67088 .62"..45 1. 66978 .62285 1.66867 .62325 1. 00757 .62366 1.f>0047 .62406 l.6Co5~ .6244C, 1.66428 .62487
I
.60086 ------Tang. , Cotang. Tang. iCotang.
60"
iI 122
59'
I
1. 00428 1. 66318 1. 66209 1. 6COO9 1. G5990 1. 65881 1. 65772 J. 6561;3 1.65554 1. 65445 1. 65337
1.65228 1. 65120 1.65011 1. 64903 1.64795 1.f>4687 1.64579 1.64471 1.64363 1.64256 1. 64148 1. 64041 1. 6.1934 1.63826 1.63719 1. 63612 1.63505 1. 03398 1. 63292 1. 63185 1.63079 1.62972 1. 62R66 1.62760 1. 62654 1.62548 1. 62442 1.62336 1.62ZlO 1. 62125 1. 62019 1. 01914 1.61808 1. 61703 1. 61598 1.61493 1. 61388 1.6128.1 1. 61179 1. 01074 1.60970 1.00865 1. 60iGI 1. 00657 1. G!l553 1.60449 1.60345 1.00211 1.60137 1. 00013
Tnng. 58'
(j()
59 511 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 '38 37 36 3,'i 34 33 32 31 30 29
28 27
26 25 2·\ 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5
, 3 2 1 0
-,
TABLE 8.-NATURAL TANGENTS AND COTANGENTS.
82°
,
I
Tang. Cotang. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
80 31
32
.62487 .62527 .62568
.62608
.626(9 .62689 .62730 .62770 .62811
.62852 .62892 .62933 .62973 .63014
.63056 .~
.63136 .63177 .63217
.68258 .63299 .63340 .63380 .63421 .63462 .63603
.63544 .63584 .63625 .63666 .63707 .63748 .63789
33 34 35
.63830
3i 38 39 40 41 42 43 44 45 46 47 48 49
.63994 .M035
36
50 51 52 63 54 55 56 57 58 5~
60
.63871 .63912 .63963 .M076 .64117 .64108 .MI99
.64240 .64281 .64322 .64363
.64404 .64446 .64487 .64528 .M569 .64610 .64652
.64693
.64734 .64775 .64817
.64858 .64899 .64941
1.00033 1.59930 1.59826 1. 59723 1.59620 1.59517 1.594U 1.59311 1. 59208 1.69105 1. 69002 1.58900 1.58797 1.58695 1.58593 1.58490 1.68388 1.58286 1.58184 1.68083 1.57981 1.57879 1. 57778 1.57676 1.57575 1. 57474 1.57372 1.57271 1.57170 1.57009 1.56969 1. 56868 1. 56767 1.56667 1.56566 1.56(66 1.56366 1.56265 1.56165 1.56065 1. 55966 1.55866 1.55766 1. 55666 1. 55567 1.55467 1.56368 1. 55269 1. 55170 1. 55071 1. 54972 1.54873 1.54774 1. 54675 1. 54576 1.54478 1. 54379 1.54281 1.54183 1. 64C85 1.63986
I
I
34° aoo Tang. Cotang. -Tang. I.?>tang.
aao Tang. Cotang. .M941 .M982
.65024 .65065 .65106 .65148 .65189 .65231 .65272
.65314 .66355 .65397
.65438 .66480 .65521
.65563 .65604 .65646 .65688 .65729 .65771
.66813 .65854 .65896
.65938 .65980 .66021
.66063 .66105 .66147 .66189
.66230 .66272 .66314 .66356
.66398
.66440 .66482 .66524
.66566 .66608 .666.'iO .66692 .66734 .66776 .66818 .66860
.66902 .66944 .66986 .67028 .67071 .67113 .67155 .67197 .67239 .67282 .67324 .67366 .67409 .67451
------
1.63986 .67451 1. 53888 .67493 1. 63791 .67636 1.63693 .67578 1.63595 .67620 1.63497 .67663 1.63400 .67705 1.53302 .67748 1.63205 .67790 1.63107 .67832 1.63010 .67875 1.52913 .67917 1.52816 .67960 1.62719 .68002 1.52622 .68045 1.52525 .68088 1.52429 .68130 1.52332 .68173 1.52235 .68215 1. 52139 .68258 1.1i2043 .68301 1.51946 .68343 1.51860 .68386 1.51754 .68429 1. 51658 .68471 1. 51562 .68514 1. 51466 .68557 1. 51370 .68600 1. 61275 .68642 1. 51179 .68685 1. 51084 .68728 1.li0988 .68771 1. 50893 .68814 1.60797 .68857 1. 60702 .68900 1.50607 .68942 1. 60512 .68985 1.50417 .69028 1.60322 1 .69071 1.60228 .69114 1.60133 .69157 1.60038 .69200 1.49944 .69243 1.49849 .69286 1. 49755 .69329 1. 49661 .69372 1.49566 .69416 1. 49472 .69459 1.49378 .69602 1.49284 .69545 1. 49190 .69588 1.49097 .69631 1.49003 .69675 1.48909 .69718 1.48816 .69761 1.48722 .69804 1.48629 .69847 1.48536 .69891 1.48442 .69934 1. 48349 .69977 1.482..<6 .70021
--- --- ------- Cotang. Tang. Cotang. Tang. 'Cotang.
,
;
fj7°
fj6°
I 123
1.48256 1. 48163 1.48070 1.47977 1.47885 1.47792 1.47699 1.47607 1. 47514 1. 47422 1.47330 1.47238 1.47146 1.47063 1.40062 1.4&10 1.46778 1.46686 1.46595 1. 46603 1.46411 1.46320 1.46229 1. 46137 1.46046 1.45955 1.458M 1.45773 1.45682 1. 45592 1.45501 1. 45410 1.45320 1.45229 1.45139 1.45049 1.44958 1. 44868 1.44778 1.44688 1.44598 1.44508 1. 44418 1. 44329 1. 44Z39 1. 44149 1. 44060 1. 43970 1. 43881 1. 43792 1.43703 1. 43614 1.43525 1.43436 1.43347 1.43208 1. 43169 1.43080 1.42992 1.42903 1. 42815 I
.70021 .70064 .70107 .70151 .70194 .70238 .70281 .70325 .70368 .70412 .70455 .70499 .70542 .70086 .70629 .70673 .70717 .70760 .70804 .70848 .70891 .70935 .70979 .71023 .71066 .71110 .71154 .71198 .71242 .71285 .71329 .71373 .71417 .71461 .71505 .71549 .71593 .71637 .71681 .71725 .71769 .71813 .71857 .71901 .71946 .71900 .72034 .72078 .72122 .72167 .72211 .72255 .72299 .72344 .72388 .72432 .72477 .72521
.72565 .72610
1. 42815 1.42726 1.42638 1.42550 1.42462 1. 42374 1.42286 1. 42198 1. 42110 1. 42O'l2 1. 41934 1.41847 1.41759 1. 41672 1.41584 1. 41497 1. 41409 1. 41322 1.41235 1.41148 1. 41061
, c,o 59 08 57 56 55 54
53
52 61 60 49 48 47 46 45 44 43 42 41 40 1.40974 39 1.40887 38 1.40800 37 1. 40714 36 1.40627 35 1.40540 34 1.40454 33 1.40367 32 1. 40281 31 1.40195 30 1. 40109 29 1.40022 28 1.39936 27 1.398W 26 1. 397M 25 1.39(;79 24 1.39593 23 1.39W7 22 1. 39421 21 1.39336 20 1.3D250 19 1.39165 18 1.39079 17 1.38994 16 1. 38909 15 1. 38824 14 1. 38738 13 1. 38653 12 1.38[,68 11 1. 38484 10 1.38399 9 1. 38314 8 1.38229 7 1. 38145 6 1.38060 5 1. 37976 4 1. 37891 3 1. 37807 2 1.37722 1 1.37638 0
.72654 --- --- Tang. i Cotang. Tnng.
ofjo
I
,
fj4· ~
TABLE S.-NA.TURAL ItA.MeENTS ANI) (l6'l'A.NGEIf'l'8.
, Tang.
39° 38° 1 Tang. ('otang. Tang'I~,1 -----------
------
1. 37638 .75355 1. 32704 1.37554 .75401 1.32624 .75447 1. 32544 1. 37470 1.37386 .75492 1. 32404 1.37302 .75538 1.32384 .75584 1.32304 1. 37218 1.37134 .756l!9 1.322'24 1.37050 , .75675 1.32144 .75721 1.:mG4 1.36007 .75767 1.31984 1.36883 .75812 1.31904 1.3fi800 11 1.36716 .75858 1.31825 12 1.36633 .751104 1.31745 13 .73234 1.3eM9 .75960 1.81006 14 .73278 1.36466 .75996 1.3l686 15 .73323 1.36383 .·76042 1.31607 16 • 733GB 1.36300 .76088 1.31427 17 .73413 1.36217 .76134 1.31348 .76180 1.31269 18 .73457 1.36134 19 .73502 1.30051 .76226 1.31190 .7ffn2 .1.31110 20 .73547 1.35068 21 .73592 1.36885 .76318 1.31001 22 .731i37 1.35Sl2 .76364 1.30952 23 .73681 1. 35719 .76410 1.30873 24 .7372(1 1.35637 .76456 1.30795 25 .73771 1.35554 .76502 1.30716 26 .73816 1.35472 .76M8 1.30637 .765Q4 1.30558 27 .73861 1.35389 28 .73906 1.35307 .76640 1.30480 29 .73951 1.35224 .76686 1.3Of01 30 .73996 1.35142 .76733 1.30323 31 .74041 1.35060 .76779 1.30244 32 .74086 1.34978 .76825 1.30166 33 .74131 1.34396 .76871 1. 30087 34 .74176 1.34814 .76018 1.30009 35 .74221 1.34732 .711864 1. 29931 36 .74267 1.34650 .77010 1.29853 37 .74312 1.346GB .77057 1. 29175 .71103 1. 29696 38 .74357 1.34487 39 .74402 1.34405 .77149 1. i9618 .77196 1.29541 40 .74447 1.34323 41 .74492 1. 34242 .77242 1.ll9463 42 .7~ 1. 34160 .77289 1. 29385 .77335 1.29307 43 • 74~83 1. 34079 44 .74628 1.33998 .77382 1. 29229 .77428 1.29152 45 .74674 1. 33916 .77475 1.29074 46 .74719 1.33835 .77521 1.28897 47 .74764 1.33754 1.33673 . 775C8 1. 28919 48 .74810 .77615 1. 28S12 49 .74855 1.33592 1.33511 .77661 1.28764 50 .74000 li1 .74946 1.33430 .77708 1. 28687 li2 .74991 1.33349 .77754 1.28610 .77801 1.28533 li3 • 75oa7 1. 3.~2GB 1.33187 .77848 1.28456 541.75082 65 .75128 1. 33107 .77895 1.28379 50 .75173 1. 33026 .77941 1.28302 57 .75219 1.3.2946 .77988 1. 28225 58 .75264 1. 3.28C5 .78035 1.28148 59 .75310 1.32785 .78082 1. 28071 .75355 1.32704 .78129 1. 27994 -- --- --- --- --0 1 2 3 4 5 6 7 8 9 10
c.o ,
,
36° , 37° Cotang. Tang. Cotang.
.72654 .72C99 .72743 .72788 .72832 .72877 .72921 .72966 ,73010 .73000 .73100 .73144 .73189
Cotang.
Tallg.
63°
Cotang.
Tang.
52°
.78129 .78175 .78222 .78269 .78316 .78363 .78410 .78467
.78004 .78561 .78698
.18645 .7liOO2 . 78739 .78786 .78834 .78881 .78928 .78975 .79022 .70070 .'111117 .'111164
.79212 .79259 .79306 .79354 .79401 .79449 .79496 .79544 .7IlI!91 • 79639 .79686 .79734 .79781 .79829 .79877 .79924 .7flII72
.80020 .80067 .80115
.80103 .80211 .80258
.80006 .80354 .80402 .80450 .80498 .80646 .80694 .80042 .80690 .80738 .80786 .!108.14 .80882 .80030 .80078
-_.
ICotang. I
I
124
1.27994 1. 27917 1.27841 1. 27704 1. 27688 1. 27611 1.27635 1.27458 1.27382 1.27300 1.27230
. 80978 .81027 .81075 .81123 .81171 .81220 .81268 .81316 .81364 .81413 .81461 .8U1l0 .81558 1.27001 . .81606 1.2G925 .81655 1.25849 .81700 1.26774 .81752 1.20098 .81800 1.26622 .81849 1.26646 .81898 1.2MB .811146
i
~:~~I
1.26395 1.26319 1.2624\ 1.26169 1.26093 1.26018 1.25943 1.25867 1.25792 1. 25117
.81995 .82044 .82092 .82141 .82190 .82238
.82287 .82336
.82385 .82434
1.26642 i .82483 1. 25567 • .82531 1. 25492 .82580 1.25417 .82629 1. 25343 .82678 1.252(8 .f!n27 1. 25193 .82776 1. 25118 .82825 1.25044 .82874 1.24969 .82923 1.24895 .82972 1. 24820 .83022 1.24746 .83071 1.24672 .83120 .831(9 1.24597 1.24523 .s:m8 1.24449 • 832GB 1.24375 .83317 1.24301 .83300 1.'Mn1 .83415 .834f15 1.~153 1. 24079 .83614 .83564 1.24005 1. 231131 .83013 1.23858 .83002 1. 23784 1. 23110 ,./m12 .83761 1. 23(j37 .83811 .838(',0 1. 335ti3 1.23490 I~~
--Tang.
51°
.Cotaag.
i
1. 23490 1. 23416 1.23343 1. 23270 1. 23196 1. 23123 1. 23(1;() 1. 22!l77 1.22904 1. 22831 1.!2758
1. 22Il85 1. 22612 1. 225.39 1.2:1467 1. 22.'l94 1.22321 1.22:149 1.22176 1.22104 1.22031 1.21959 1. 21886 1.21814 1.21742 1. 21670 1. 21598 1. 21526 1. 21454 1. 21382 1. 21310 1.21238 1.21166 1.21004 1.21023 1. 20951 1.20879 1.20808 1.20736 1.20065 1.1!O693 1.1!O622 1.20451 1. 20379 1.20808 1.20237 1. 20166 1.20095 1. :aJ024 1. 19Q53 1.191!82 1.19811 1.1g'140 1.19669 1.19599 1.19528 1.194.'i7 1.19387 1.10316 1.19246 1. 19175
CO 59 58 57 56 55 54 53 52 '51
50 49 48 '47 46 45 44 43
42 41 40 39 38 37 36 35 34 33 32 31
30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13
12 11 10
--- Tang.
60°
9 8 7 (l
5 4
3 2 1 0
,
TABLB 8.-·IUTuaAL TAMIlN'l'S AND (lOTANGBN'I'S. ~
40° 42· 4l" , Tang. Cotang. Tang. Cotang. Tang. Cotang. -- --- --- --- --- --- - -.83910 1.19176 .86929 1.15037 .90040 1.11061 0 1 2 3 4 5 6 7 8
9 10
11 12 13 H 15 lU
17 18 19 20 21 22 23 24 25 20 27 28 29 30 31 32 33
34 35 36 37 38 39 40 41 42
43 44
46 46 47
48 49 50 51 52 53 51 55 66 67 68 5g CO --
.839(j()
.84009 .84069 .84108 .84168,
.84208 .84258 .84307 .84367 .84407 .84457 .84507 .84566 .84606 .84656 .84700 .8471>6 .84800 .84856 .849OtI .84956 .8Il006 .85057 .85107 .85157 .85207 .85257 .85308 .85358 .85408 .85458 .85509 .855W .85ti09 .85660 .85710 .85761 .86811 .85l!62 .85912 .85963 .86014 .80064 .86115 .86166 .86216 .86267 .86318 .863G8 .86419 .86470 .86521 .86572 .8!i623 .86674 .86725 .86776 .86827 .8!i878 .80929
1.19105 1.19036 1.189f>1 1.18894 1.18824 1.18754 1.18684 1.11M!14 1.18644 1.18474 1.18404 1.18334 1.18264 1.18194 1.18125 1.18055 1.17986 1.17916 1.17846 1.1m7 1.17708 1.17638 1.17569 1.17500 1.17430 1.17361 1.17292 1.17223 1.17154 1.17085 1.17016 1.16947 1.16878 1.16809 1.16741 1.161,72 1.16603 1.16535 1.16466 1.16398 1.16329 1.16261 1.1b192 l.l
.86980 .87031 .87082 .87133 .87184 .87236 .87287 .87338 .87389 .87441 .87492 .87543 .87595 .87li46 .87698 .87749 .87801 .87852 .87904 .87955 .88007 .88059 .88110 .88162 .88214 .88265 .88317 .88369 .88421 .88473 .88624 .88676 .88628 .88680 .88732 .88784 .88836 .88888 .88940 .88992 .89045 .89097 .89149 .89201 .89253 .89306 .89358 .89410 .89463 .89515 .89567 .89620 .89672 .89725 .89777 .89830 .89883 .8993,'; . 899RR .90040
1.14969 1.14902 1.14834 1.14767 1.1
.90093 .901
.90304 .90367 .904l0 .90463 .90516
.90569 .90621 .90074 .90727 .90781 .90834 .90867 .9OiI40 .90993 .91046 .91099 .91153 .91206 .91259 .91313 .91366 .91419 .91473 .91526 .91580 .91633 .91687 .91740 .91794 .91847 .91901 .91955 .92008 .92Ob2 .92116 .92170 .92224 .9W7 .92331 .92385 .92439 .92493 .92547 .92601 .92655 .92709
.92763 .92817 .92872 .92926 .92980 .93034 .93088 .93143 .93197 .93252
1.10996 1.10931 1.10867 1.10802 1.10737 1.10672 1,.10607 1.10543 1.10H8 1.10414 1.10349 1.10285 1.10220 1.10166 1.10091 1.10027 1. 0996S 1.09899 1. 00834 1.00770 1.09706 1.09642 1.09678 1.09514 1.09450 1. 09386 1. 09322 1. 09258 1. 09195 1. 09131 1. 09067 1. 09003 1. 08940 1. 08876 1. 08813 1. 08749 1.08686 1.08622 1. 08559 1.08496 1. 08432 1.08369 1. 08306 1. 08243 1. 08179 1.08116 1. 08053 1. 07990 1.07927 1.07864 1.07801 1. 07738 1. 07676 1. 07613 1. 07550 1. 07487 I. 07425 I. 073(12 1. 07299 1. 07237
--- --- ---,--- --- ---
, Cotang. Tang. iCotang.! Tang. : Cotang. Tang. 49°
j--4S-0--
I
125
47°
43°
,
Tang. Cotang.
-60
.93252 .93306 .93300 .93416 .93
1. 07237 1. 07174 1. 07112 1.07049 1. 00987 1.00925 1.06862 1. 06!!00 1.06738 1.06676 1.06613 1.06551 1.00489 1.06427 1. 063(i5
69 68 67 66 55 54
63
62 61 110 49 48 47 46 46 .94071 11. 06300 44 .94125 1. 00241 .94180 1.06179 43 • 94236 1. 06117 42 • 94290 1. 06056 41 .94346 1. 06994 40 .94400 1. 05932 39 .94456 1. 06870 38 .94510 1. 05809 37 .94565 1.05747 36 .94620 1. 0/i685 35 .94676 1.05624 34 .94731 1.051>62 33 .94786 1. 0Ii501 32 .94841 1. 05439 31 .94896 1. 05378 30 .94952 1. 0/i317 29 .95007 1. 05256 28 .95062 1. 05194 27 .95118 1. 05133 26 .95173 1.05072 25 .95229 1. 05010 24 .95284 1.04949 23 .95340 1.04888 22 .95395 1. 04827 21 .95451 1.04766 20 .95506 1.04705 19 .95662 1. 04644 18 .95618 1. 04583 17 .95673 1.04622 16 .95729 1. 04461 15 .95785 1. 04401 14 .95841 1. 01340 13 .95897 1. 04279 12 .95952 1. 04218 11 .96008 1.04168 10 .96064 1.04097 9 .96120 1.04036 8 .96176 1. 03976 7 .96232 1. 03915 6 .96288 1.03855 5 .96344 1.03794 4 .96400 1. 03734 3 .96457 1. 03674 2 .90013 I. 03(.13 1 .00569 I. 03553 0 - - ----
Cotang. Tang. 46°
-,
TABLE S.-NATURAL TANGENTS AND COTANGENTS.
, -0
44° Tang. Cotang.
.965G9 .9G62. .96681 .96738 .96794 ':"96850 .96907 .96963 .97020 .97076 .97133 .97189 .97246 .97302 .97359 .97416 .97472 .97529 • 975~6 1~ 19 • 97M3 20 .97700 -- --1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
,
1. 03553 1. 03493 1. 03433 1.03372 1. 03312 1. 03252 1. 03192 1. 03132 1. 03072 1. 03012 1. 02952 1. 02892 1. 02832 1.02772 1.am3 1. 02653 1. 02593 1. 02533 1. 02474 1. 02414 1. 02355
, -
--- -
Cotang. Tang.
40°
II ,
44° Tang. Cotang.
!----
00 69 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40
,
j20
' 21 22
123 : 24
I~
' 27 28 29 30 31 32 33 34 35 36 37 38 39 40
-,
.97700 1. 02355 .97756 1. 02295 .97813 1. 02"...36 .97870 1. 02176 .97927 1. 02117 .97984 1.02057 .98041 1. 01998 .98098 1.01939 .98155 1. 01879 .98213 1. 01820 .98270 1. 017G! .98327 1. 01702 .98384 1. 01M2 .98441 1. 01583 .98499 1. 01524 .98556 1. 01465 .98613 1. 01406 .98671 1. 01347 .98728 1. 01288 .98786 1. 01229 .98843 1. 01170
, -
------ Cotang. Tang.
40°
126
40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20
,
, -
44° Tang. Cotang.
40 .98843 41 .98901 42 .989.,8 43 .99016 44 .99073 45 .99131 46 .99189 47 .99247 48 .99304 49 .99362 50 .99420 51 .99478 52 .99536 53 .99594 54 .99652 55 .99710 56 .99768 57 .99826 58 .99884 59 .99942 60 1. 00000
-
,
1. 01170 1. 01112 1. 01053 1. 00994 1.00935 1. 00876 1. 00818 1. 00759 1. 00701 1. 00642 1. 00583 1. 00525 1. 00467 1.00408 1. 00350 1. 00291 1. 00233 1. 00175 1. 00116 1. 00058 1. 00000
cotang.i - Tang.
40°
I
, -20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0
-,
TABLE 9.-LOGARITHMIC SINES, COSINES, ETC.
o· -"- -
0
0 (0 120 180 240 300 360
1 2 3 4 5 6 7 8 9 10 11 12 13 14
420 480
540 600 600 720 780
840
it 17
900 900 1020 1080 1140 1200 1200 1320 1380 1440 1600 1560 1620 1680 1740 1800 1860 1920 1980 2040 2100 2100
18 19 20 21 22 23 24 25 26 27 28
29 30 31 32 33 34 35 36 37 38 39 40
2220 2280 2340 2400 2400
41 42 43 44 45 46 47
2520
2580 2640 2700 2760
2820 2880 2940 3000
48 49 50 51 52 53 54 55 56 57 58 59 00
3000 3120 3180 3240
3300 3300 3420
3480 3540
360Q
"
,
-
,
Sine.
S.
T.
•. 685 lnr. neg. 575 575 6. 463726 575 675 .764756 575 h75 6.940847 575 575 7.005786 575 675 .11\2600 575 575 .241877 575 575 .308824 575 575 .3(i6816 574 576 • 4179tiB 574 576 .463726 574 576 7.505118 574 576 .542900 574 577 .577008 574 .609853 574 .639816 573 578 .6678451573 578 .694173 573 578 .718997 573 579 .742478 573 579 .764754 572 580 7.785943 572 580 .SOt;I46 572 581 .825451 572 581 .843934 571 582 .861662 571 583 .878695 571 583 .895085 570 584 .910879 570 584 .926119 570 585 .940842 569 586 7.955082 569 5IIl .968870 569 5IIl .982233 568 588 7.995198 568 589 8.007787 567 590 .020021 567 591 .031919 566 59'~ .043501 566 593 .054781 566 593 .065776 565 594 18. 076600 565 595 .086965 564 596 .097183 564 598 .107167 563 599 .116926 562 600 .126471 562 001 .135810 561 602 .144953 561 603 .153907 560 604 .162681 560 605 8.171280 559 607 .179713 558 608 .187985 558 609 .196102 557 611 .204070 556 612 .211895 556 613 .219581 555 615 .227134 554 616 .234557 554 618 8. 241~55 553 , 619 4.685 --Coslne.
5n 5n
I
Cotang.
Tang.
lnr. neg. 6.463726 .764756 6.940847 7. Of>5786 .152G96 .241878 .308825 .366817 .417970 .463727 7.505120
542909 .577672 • .009857 .639820 .667849 .694179 .719003 .742484 .764761
1
7.785951 .806155 .825400 .843944 .861074 .878708 .895099 .910894 .926134
.940858 7.955100 .968889 .982253 7.995219 8.007809 .020044 .031945 .043527 .054809 • Q658Qtj
8.076531 .086997 .097217 .107203 .116963 .126510 .135851 .144900 .153952 .162727 8.171328 .179763 .188036 .196156 .204126 .211953 .219641 .227195 .234621 8.241921
lnr.pos. 13.536274 .235244 13.059153 12.934214 .837304 .758122 .691175 .!i33183 .582030 .536273 12.494880 .457091 .422328 .390143 .300180 .332151 .305821 .280997 .257516 .235239 12.214019 .103845 .174540 .156056 .138326 .121292 .104901 .089106 .073866 .059142 12.044900 .031111 .017747 12.004781 11.992191 .979956 .9ti8055 .956473 .945191 .934194 11. 9234G9 .913003 .902783 .892797 .883037 .873490 .864149
.856004 .846048 .837273 11.828672 .820237 .811964
.803844 .795874 .788047 .780359 .772805 .765379 11.756079 Tang.
Cotang.
C. 15.314 425 425 425 425 425 425 425 425 424 424 424 421 423 423 423 422 422 42'2 421 421 420 420 419 419 418 417 417 416 416 415 414 413 413 412 411 410
409 408 407 407
406 405 401 402 401 400 399 398 397 396 395 393 392 391 389
388 387
385
384
382 381 15.314
179 0
D.I". Cosine.
- -- - - -
.02 .00 .00 .00
.O'J .00 .02 .00 .02 .00 .02 .00
.O'J .02 .00 .02 .02 .02 .02 .00 .02 .02 .02 .02 .03 .02 .02 .02 .02 .03 .02 .02 .03 .02 .02 .03 .02 .03 .03 .02 .03 .03 .02 .03 .03 .03 .03 .03 .03 .03 .03 .03 .03 .03 .03
ten ten ten ten ten ten .. 9.999999 .999999 .999999 .999999 .999998 9.999998 .999997 .999997 .999996 .99999(j
.999995 .999995
.999994
,
00 59 58 57 56 55 54 53 52 51 50 49
48 47 46 45 44 43 42 41 40 39 38 37
.999993 .999993 9.999992 .999991 .999990 .999989 .999989 .999988 .999987 .999986 .999985
35 34 33 32 31
.999983
30
9.999982 .999981 .999980
29
.999979 .999977 .999976 .999975 .999973 .999972 .999971 9.999969 .999968 .999966
.999964 .999963 .999961 .999959 .999958 .999956 .999954 9.999952 .999950
.999948 .999948 .999944 • 999942 .999940
.999938
.999986 9.999934
36
28 27 26 25 24 23 22 21
20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5
•
3 2 1 0
-- --- , D.I". Slne.
~
89·
90°
127
TABLE
-"- 3600 3G6O 3720
3780 384.11 3909 3960 4020
4080 4.lAO 4200 4200 4320 4380 4440 4500 4560 4620 4680 4740
4800
,
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Hi 17 18 19 20
4360
2.1
4920
22 23 24 25 26 27
4Il8O 5040 5100 5100 5220
52BO 5340 54IlO 54&0 5520 5580 5640 5700 5760 58/l0 5880 5940 60IKl 0060 6120 6180 61140 6300 6iI6O 6420 6480 65(0
2S 29
30 31 32 33 34 35
3i 31 38
30
.a 41 42 43 44
45 46
47 46 49
66110' 50 6600 51-
Sine.
8. 241855 .249033 .256094
.263042 .269881 .276614 .283243 .289773 .29;;207 .302646
.308794 8. 314954 .321027 .327016 .332924 .338753 .344504 .350181 .355783 .361315 .366777 8.372171 . 37741!9 .382762 .387962 .393101 .3!18l.79 .403100 .408HII .413068 .41791.9 8. 4227I7 .427462 .432156 .436800 .441394 .445941 .45Of.j9 .454893 • 459liel
.413665 8. 4871185 .472263 .476498
.4806Il3 .434848
.488D63
.4~9
.4W7078 .5016@9 .5G1i045
6960
56 56
7020 7080 7140 7200
58 59
.539l86
60
8.542819
6120
6840 6lIOO
" 91'
sa
oa M
ru
B. T.
--- ---
8. 5081J14 .512887 .516726 .520661 .524343 .528102 .531828 .535523
6180
9.-LOQ~TBIUC
- , --Cosine.
4.685 553 619 552 620 551 622 551 623 550 625 549 627 543 628 547 630 546 632 546 633 545 535 544 637 5~3
638
542 541 540 539 539
640
538 537 536 535 534 533
532
642 644 645
643 649 651
653 655 657 659 661
531 530 529 527 526 525
663 666 668
524 523 522 521 520 518 517 516 515 514 512 511 510 509 507 5116
676 679 681 683
670 672 67.4
685 688 690 693
690 697
700 702 705 707 710 713 506 715 5Ga 718 502 720 501 723 4!19 728 4118 729 497 731. 4Q5 734. 494 737 492 74() 491 743 490 745 488 748 487 751 4.685
Tang.
SI.JIiS. OOSINES,
Cotang.
8. 241t21 11.768lY19 .249102 .7~ .256165 .743835 .263115 .736885 .269966, .730044 .276691 .723309 .283323 .716677 .2898li6 .710144 .296292 .703708 .302634 .697366 .308884 • 691116 8. 315046 ll.684954 .321122 .678878 .327ll4 .672886 .333025 .666975 .338856 .661144 .344610 .655390 .350289 .649711 .355895 .644105 .361430 .638570 .366895 .633105 8. 372292 11.627708 .377622 .622878 .617111 .382889 .388092 .611908 .393234 .606766 .398315 .601685 .403338 .596662 .408304 .591696 .413213 .586787 .418068 .581932 8.422869 11.577131 .427618 .572382 .432315 .567685 .436962 .563038 .441560 .568UO .446110 .553890 .450613 .549387. .455070 .544930 .54(511) .459431 .463849 .536151 8. 468172 11.531828 .472454 .527546 .476693 .523307 .480892 .519108 .48501i0 .514950 .489170 .510830 .4932.>0 .506i5O .497293 .502707 .501298 .498700 .505267 I .494733 &.509200 11. 411081» .513018 .486902 .516961 .483O:W .0207110 .479210 .5245a\ .475414 .528349 .47115.51 .467920 .532011J .535779 .464221 .539447 .460553 8.543084 11.456g16
I Coliang.
i
Tang.
C.
ID.l".
15.314 381 380 378 377 375 373 372 370 368 367
365 363 362 360
358 366 3li4 352 351 349 347
345 343 341 339 337 334
332 330 328
320
324
321 319 317 315 312 310 397 305 303 300 298
29li 293
m
287 2,5 282
280
277 I
274 271 269 266 263 260 257 255 252 249 15.314
178" Cosine.
'
.03 .05 .03 .03 .05
9.999934 .999932 .9'J9929 .90!I!m .999925
59 58 57
.03 .03 .05 .03 .05
.9'.)99'20 .9991118 .990015 .990013 .999!l10
.05 .03 .05
.00
.03 .05 .05 .05 .05 .05 .05 .05 .05 .05 .05 .05
---/-
.99'J922
9.999907
.OOWOS .99\lOO2
.999899 .:7 • 4 .999891
.07 .08 .07 .07 .08
49 48
47 46 45 44
43 42 39 38 37 36 35
.9911858
.07 .(}7
50
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• 91197ti9 .999765 .999761 .999i'57 .999753 .999748 .999744 .999740 9.999735
41
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8. 542819 .646422 .1149995
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.670836 .674214 '577566 . 8. 5808Q2193 .584
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D.1"., Cosine. --9. 9119735 60.05 099731 69.65 999726 69.07 999722 68.68 9II97l7 58.10 999713 67.66 999708 67.'4J .9997Q4 66.75 .999609 66.30 .999OIK 65.87 .9119689 65 43 • 9.9W685 65.02 .1198680 114.60 .• M.'4J......... 63.78 .999666 63. 40 .999660 63.00 .9911656 .998660 62.23 .9911645 61.: .1198640
~~
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8.61:2823 .615891 • 618937 .621962 .624965 •
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• 07 .08 .07 uuoo .08 .567336 .07 .08 ......07 :007727 .08 .671137 .08 .674620 .08 .677877 .07 8. 581208 .08 .5IK614 .08 .1i877II6 .08 .691051 . 0 8 . 1i9G83 .08 .6006 .08 .603839 .08 .08 .61001K .08 8.613189
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.08 .08 • 08 .10 .08 .10 .08
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TAUI' '.-LOGABITllltIC 8UIES, COSINES,
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6
7 8 9 10
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:=
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I Cotang. D.
39 38 37 36 35 34.
sa
32
31
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TABLE •
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~
1>0.
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9:: .18 I 8.941962 .998322 .18 .943404 . 998311 • 18 .944862 .998300 .18 .946295 .998289' 18 .947734 .998277' .949168 .998266 .181.950597 .998255 .18 .952021 .998243' , .953441 .998232 .18 .9548M
:~i~
11 12 13 14 15 16 17 18 19
~
21 22 23 24 25 26 27 28 29 30 31 32 34 33 35 36 37 38 39 40 41
~ 44
45 46 47 48 49 IiO
•
8.940296
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.968249 8.969600 .970947 .972289 .973628 .974962 .976293 .977619 .973941 .980259 .981573 8.982883 .984189 985491 '986739 : 988083 .989374 .990660 .991943 .993222 .994497 8.995768 .997036 8•. O
~
9.000816
.002069
.003318 .004f>63 .006805 • 007044 9.008278 .00Il610 .010737 • 0111162 .013182 • 014400 • 015613 .016824 .018031 9.019235
Tang.
~
~
23.17 23.10 23.03 22. 95 22.87 22.82 ,22.73 22.65 22. 60 22.52 22.45 22. 37 22. 32 22.23 22.18 22.10 22. 03 21. 97 21. 90 21. 83 21.77 21 72 21:63 21. 57 21. 52 21. 43 21.38 21.32 21. 25 21.18 21.13 21. 05 21.02
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20. 33 30 22
D.l"
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9.998220 • .998197 .998186 .998174 .998163 .998161 .998139 .998128 .998116 9.998104 .998092 .998080 .9\18068 .99IjO/j6
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~ .~ .18 •~ .~ . 18 .~
8.967674 5 .951107 .960473 .961866 .1163255 .964639 .966019 . 967394 .968766 • • 970133 • 8.971496 • .972855 • .974209 .976660 .9761106 • .978248 • .979586 • .980921 • • 982251 .983577 • 8.1184B89 .22 .986217 • .987532 • .988842 .22 .990149 • .991461 .22· .992760 • .994046 .22 .996337 • •996624 .22 8.9971108 8.999188
~~
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~
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.~ .22 .22 .22 .22 .22 .22 • 22 .22 .22 .22 .22 .22 .22 .23
I , - ' . -Sine.
~
-24. 24.13 24.06 23. 98 23.90 23.82 23.73 23. 52 23. 58
.~ .~7 il·
.18 • .18
D • 1"•
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~.
~.10 .03
21.97 21.92 21.83 21. 78 21. 70 21.65 21.58 21.53 46 1. 40 21.33
~1.
9.000466 21.28 .001738 21.22 .003007 21.15 .004272 21.08 .005534 21.03 . 006792 97 .008047 .009298 9.010646 .80 . 0117110 73 • 013081 68 • 0lG68 62 • 01M02 57 .016732 .01791i9 .019183 20. 40 .020403 20.33 9.00IlIJO 20.28 'C--otang. D.l".
~. ~.92
~.86 ~. ~. ~. ~. ~.50 ~.46
11.058048 .056596 .055148 .053705 .052266 .060832 .040403 .0479i9 .046569 .046144 .043733 11.042326 .0f0925 .089527 .038134 .036745 .035361 .033981 .032606 .031234 .0'J9867 11. 0'l8Ii04 .027146 .al5791 .024440 .0'l3aI4 .al1752 .020414 .019079 .017749 .016423 11.016101 .013783 .012468 .011158 .009861 .ooe64i .007260 .00II965 .004683 .063376 11.002092 11.000812 10.999635 .998262 .996993 .996728 .99H66 .998208 .991963
.990702
10.989454 .988210 .986969 .985132 .984498 .983268 .98204l .980817 .979597 10.978380
49
48 47 46 46 44 43 42
41 40 311 38 37 36 35 34 33
82
31 30 29
28
27 26 25 24 23 22 21 ~
'l'ANGBN'l'S, AND COTAl'fGENTS. SIne.
o
1 ·2 3 4 5 6 7 8 9 10 11 12 13 14 16 16
17 18 19
9.019236
.02043.5 .021632
.022825
.024016
.025203 .026386 :0Z1567 .028744 .029918 .031089 9.032257 .033421
.034682 .035741
.036896
.038048 .039197
.040342 .041485
~
.042625
21 22 23 24 26 26 27 28 29 30 31 32 33 34 35 36
9.0C376!
37 38 39 40 41 42 43 44 45 46 47 48 49 50 61 52 63 64 50 56 67 63 69 60
.0Wi95 .040026 .047164
.048279 .0411<400 .050619 .051635 .052749 .053&9 9.054966
.056071
.057172 .058271 .M9367 .0604110 .061501 .062639 .063724
.064806 9.065885
.086962 .068036 .069107 .070176 .071242
.072306 .073366 .074424 .075480 9.076633 .077683 .078631 .079876 .080719
.081759 .082797 .083832 .084864 9.0858IW
D. 1". 2().00 19.95 19.88 19.85 19.78 19.72 19.68 19.62 19.57 19.52 19.47 19.40 19.35 19.32 19.35 19.20 19.15 19.08 19.05 19.00 18. 95 18. 88 18. 8518.80 18. 75 18.68 18. 66 18. 60 18.57 18.50 18. 4518. 42 1&35 18. 32 18. 27 18. 22 18.18 18.13 18.08 18. 03 17.98 17.96 17.90 17.85 17.82 17.77 17.73 17.67
17.63 17.60 17.50 17.50 ,17.47 '.42
11.38 17.33 17.30
17.25 17.20 17.17
CosIne. 9.997614 .997601 .997588 .997574 .1197561 .1197547 .1197634 .997520 .997507 .997493
.997480 9.997466 .997452 .997439 .997425 .997411 .997397
.997383
.997369
.997355 .997341
9.997327 .997313
.997299
.997285 .. 997271 .997257 .997242
.997223 .997214
.~
9.9971&~
.997170 .997156 .997141 .997127 .997112 .997098 .997083 .997068 .997053
9.997039 .997024 .997009
.996994 .996979
.996964
.996949 .1196934 .996919
.996904 9.996889
D. 1". .22 .22 .23 .22 .23 .22 .23 .22 .23 .22 .23 .23 .22 .23 .23 .23
.23 .23 .23 .23
.23 .23 .23 .23 .23 .23
.25 .23 .23
.25
Tang. 9.021620 .022834 .024044 · 025261 • 0264M .027655 · 028852 .0300(6 .031237 • 032425
• m3OO9
9. 034791 .035969 · 037144 .038316 • 039485 .040651 .041813 .042973
.044130 .045284 9.046434 .047582 • 048727 .049869 .051008 .052144 • 053277
.23
.23
•'0666M • 0Im62 9. 068846
.23 .25
.25 .25 .25 .25 .25 .25 .25 .25 .25 .25 .25 .25 .25
.996874 .996858
.996843 .996828 1196812
996797 .996782
.996766
• 06M56
.069938 .071027 .072113 • 073197 .074278 .075356
• 076432 .077605 .078576 9.07IIII44 .080710 .081773 .082833 083891 .08411<47 086000 .087050 .088098 9.089144
173" Cotan!!.
2(). 23 20.17 20. 12 2(). 07 20.00 19. 95 19.90 19. 85 19. 80 19. 73 19. 70 19.63 19. 58 19.63 19. 48 19.43 19.37 19.33 19. 28 19.23 19.17 19. 13 19. 08 19. 03 18. 98 18. 93 18. 88
10. 978380 .977166 • 975956 .974749 .973545 • 972345 .971148 .969954 • 968763 .967575 • 966391 10.965209 • 964031
18. 73 18.70 18. 65 18.00 18.57 18. 50 18. 47 18. 42 18. 38 18. 32 18. 28 18. 26 18. 20 18. 15 18. 10 18. 07 18.02 17.97 17. 93 17. 88 17.85 17.80 17.77 17.72 17.67 17.63 17.60 17.50 17.50 17.47 17.43
• 944465
:= ~t:
• 066659 9.057781 • 058900 .060016 .061130 .062240 • 063348 • 064453
.23 .35 .23 .35
D.l".
9.996751
47 46 45 44 43
.9670Z1
42 41 40 39
• 961684 .960615 .969349 .968187
.9M870 .1164716 10. 9.53566 • 962418 .961273 .950131
.11<48992
• 11<47856
::Ii~ .11<43341
10. 942219 .11<41100
.939984
.9"38870 • 937760 • 936652 .1I8M47 • 934444 .933345 • 932248 10. 931154 • G3OO62 .928973
.927887
.~
.926722 • 924644 • 923568 .922495 .921424 10.920356 .919290 .918227 .917167 .916109 .915053 .914000 .912950 .911902
Tang.
133
IiO 49 48
.962856
~~~ ~~~~J1~S~lne~.~~~][~~~~~~==10.~~91~ __
60 69 58 67 56 50 64 63 62 61
38
37 36 35 34 33 32 31 30 29 28 27 26 35 24 23 22 21 20
o
1 2 3
, 6 6 7 8 9 10 11 12 13 14 lli 16 17 18 19 :lO 21 22
23 24 25 26 27 2Ii 211 30 31 82 33 24 36 31! 37 38 39 40
41 '2
43 U
45 45 47 48 49 60
.=
9.0858!K
17.13 17.08 17.06 :l18li870 17.00 .1!lDI9O 16. 97 .ll!Il008 16.113 .lM~~ 16. 88 16.83 16. 82 .1l!I~ 16. 77 .1Il!I1OO2 16. 72 9.09'1066 16.68 • 098Il66 16. 611 .0IIII06.!i , 16. 62 .100062 16. 67 .101056 16. 63 .10'J.048 16. 48 .103037 16. 47 .. 10«125 16. 42 .105010 37 .106992 16. 16. 36 9.1061173 16. 30 107951 16. 27 .: 1(~927 16. 23 .10lI901 1C1.20 .110873 16. III 111842 16.12 16.08 113774 16.05 :m737 16. 02 .115698 15.97 9.116656 15.91\ .117613 15.00 118567 Ill. 87 : 119619 Ill. 83 .1:1>469 15. 80 .121417 15. 71l .122362 15. 73 .123306 Ill. 70 .124248 16.65 .125187 15. 63 9. 126125 Ill. 58 .12'lOOO Ill. 55 .1~ Ill. 63 15. 48 15. 45 : 130781 15.42 .1= 15. 40 Ill. 35 : 133651 32 15. • 13H70 Ill. 28 1I.13li387 Ill. 27 15.22 16.20 ·138128 Ill. III : 139037 Ill. 12 139944 Ill. 10 : 1.0s50 Ill. 07 .141754 16.02 .1426S5 Iii. 00 9.143655
:~7
:U2809
.1:S4
·1=
9.0961178
.91161i62 .0961146
.~
':98 : !106482
.~
• !1064 • !106433 9. !I06417
.= .Il98400 .9116384
:~ .11063
.006302 .006285 .006269 9.1106262
.~ .9062
• !1116202 .1196185 !lll6168 : !lll6161
.!1116134 !lll6117
:!III61oo
.:
9.1186083
:= := .~ .9115
.1IIIi928 9.1IOIiIIl1
.: .996894
.= 9115841 995823
·9116771
9.996763
SIDe.
.27 .25 .27 .27 .25 .27 .27 .27 .25 .27 .27 .27 .27 .27 .27 .27 .27 .28 .27 .27 .27 .28 .27 .27 .28 .27 .28 .27 .28 .27 .28 .28 .27 .28 .28
.28
.28 .28 .28 .28 .28 .28 .28 .28 .28 .28 .30 .28 .28 .30 .28 .28 .30 .28 .30
.30 .28
9.100487 .101604 .1=
:.106550 104642 .106656 .107559 .108560
.10961i9 9.1101Wi6 .111661 .11~
.113583 • 1141i21 .115507 .116491 .117472 • 1184112 .W9429
9:1~ .122348 .123317 .124284 .125249 .126211 .127172 .128130
.129087 9.130041 .130094 .131944 .132893 .133839
.134784 .13672G
.1861167 .137tlOi .l3tI642 9.1*76
.140t09
.141340 .142269 .143196
.lU121
14li044
.30
: 1459ffi
.30
.146885 9.147803
.28
17.38 17.36 17.30 17.27 17.23 17.18 17.18 17.12 17.07 17.03 16. 98 16. 91\ 16. 92 16. 88 16. 83 16. 80 16. 77 16.72 16.68 16. 65 16. 62 16. 58 111.63 16. 60 16. 47 16. 43 16.40 16. 35 16. 33 16. 28 16. 25 16. 22 16.18 16. III 16.12 16,08 16. 03 16. 02 Ill. 97, Ill. 95 Ill. 00 15. 88 Ill. 83 15. 82 15.77 11l.71l Ill. 70 Ill. 68 15.63 lli.62 15. 117 15.55 15.52 Ill. 48Ill. 45 Ill. 42 15. 38 16.37 15. 32 16.30
60
69 58 57 56 65 54 63
82 61 60
411 48 47
46 45 44 43 42 41 40
39 38
37 36 36
24 33 32 31 30
D.1".
97·
134
••
171' COliine.
II.~=
14.97
14.93 14. 90 14.88 14.83 14. 82 14. 78 : 14lIII02 14. 73 .15061i6 14. 72 151569 14. 70 : 1524:;1 14. 65 9.1&3330 14. 63 .1M208 14. 58 .15601i3 14. 57 .15111157 14.511 .1561!3O 14. 50 167700 14. 48 :1M569 14. 43 14.43 14.88 .161164 14.35 1I.11!Wl5' 14.33 • 162885 14.30 .163743 14.28 .184600 14.23 .11lMM 14.22 106307 14.20 :187159 14. III .1e8008 14.13 .168856 14.10 .16Q702 14.08 9.170647 14.03 .171389 14. 02 172230 14.00 : 173)70 '13.97 173908 13.93 : 174744 13.90 17M78 13.88' '176411 13. SIS '177242 13.83 :178072 13.80 '146349 :1(6243 .14n36
.~=
II U 18 14 U 16 17 18 19 ~
81 32 33 M
aa
86 37 88 39 to 41
. 4'J 43
4.5 48 47 48
411
4!0
J=
o.t:
.1 1 .18056.
'=96
: l83Ol6 113834 'l84651
:1116466 .18G280 11.187092 187903
• 12 :=19 .190925 .191130 .191933 .192734 .193534 9.194332
13.77
13.711 13. 72 13. 70 13. 67 13.63 13. 62 13.58 13.67 13.53 13.52 13.48 13.45 13.43 13.42 13.38 13.35 13.33 13.30
9.1196753 .995735 .1m717 \J958IQ
9115881 !III56M Im648 995628 · 995610 :.995673 996li01
9.995665 .995637 995519
: 9115501 .996482 .lI954M
.996448
.9954Z7 .995409
D " 1"
Tang. __
- - . 9. 147803 .30 148718 .30 : 1496112 .30 .150644 .30 .151464 • 28 .152363 • 30 .153l169 .30 .1M174 • 30 . 151lO77 .32 .165978 .30 .156877 .30 .30 .30 .30 • 32 .30 .30 .32 .30 .32
9:: :: 9:t= :::=
.= • l1li5316 • 995317 : 119A278 .995360 9911241 : 996222
.99UlS 9.995184 .995165 .995146 995127 : 995108 .995089 .995070 .995051
.~
.1I9IJl 9. ~
.........61;
:~18 99411
.32 .32 .30 .32 .32 .32 .32 .32 .32 .32 .32 32 : 32 .32 • 32 .32 • 33 ,32 .32 • 33
• 170Ul7 .171019 • 171899 • 17276Z • 1731134 • 174«19 9.175362 .176224 .177084 .177942
.1~~ 1. ........
: 11110 .181360 • lIW11
.1~
9. l83II97 .184762 .185597 .186439
.1~
.32
:~ :~:= 11949
• \19485 .994838 .994818
9:=~ .994759
.994739 .994nl · 994700
:~ .99
994880
.33
188120
• 190629 .1111462 9. 19'ZJ\14
• 32 .33 • 33
:~. .19t780 :~= .33 .32 .33 . 33 • 33 .3.1 .33
9.994820 -D Blne. • 1".
.1911606 .196430 • 197258 . 19S074 .198S94 9.199713 ---
I Cotang.
•••
_ __ _
111. :1\ 111. :II 111. ~ 111.17 16.15 16. 10 15. 08 15.06 15. 02 14.98 14.97
10. 8Il2li7 .1i5l282 .81i11!68 .849456
60 69 68 67
.848646
66
.&467
56 M U
.1147~
.845826
.1144923 .1144022 .843l23
10. 8422'J6 14;93 .841S29 14. 90 .840435 14. 87 .8311543 14.83 .838653 14. 82 .837764 14.78 836877 14.76 :833992 14.73 .835108 14.70 .834226 14.87 10.833346 14.83 14.8\1 14.118 .D11 14.511 .1129843 .8Il8971 14. 53 1 14.111 .82810l 14. 47 .827233 14.45 1'- 42 .: 14.311 1O.1UII3I 14.37 .1IQ3776 14.33 .8Z2916 14.3) 14.28 14. 27 14. 22 14.3) .8186(0 14.18 .B177~ 14.13 ./WIIH 14.13 14.08 1O.~ .31 14.08 .314&03 14.03 8l3IS61 14.02 :&12720 14.00 .811880 13.97 .811042 13.93 .811l206 13.92 809371 13.88
52 61 Jill
: 47 4lI
45
•• __
::
41
«> ::
:~ ~3IS
.= :=
13.87
:1!aIII38
_•• : 31
10
20 28 27
l1li 26 34 23 22
III
10
It 18 17 16 16 14 18 12 11 10
I
13.83
1O.1IlT1~
13.82 13.78 13.77 13.73 13.72 13.68 13.67
'll.&2O 8Ot3II4 • 800670 :802747
a
8Ol1.06 1O.81m87
o
13.66 1" D. .
':7 .801926
'Pang.
8 7 6 6 4
2 1
LOG.lBl'l'RIDe SINJHI. 008INB8.
TABLE 9.
9' I,
Sine.
rl.
I D . 1".1
Cosine. -9.994620 .994000 .9114580 .9II4Ii6O .994M0 .9945l9 .994499 .994479
i - - - - -o 9.194332 13. 28 1 .195129 13. 27 2 3 4 Ii 6 7 89
.195925 .196719 .197511 . 198302 .199091 .199879
.200666 .201451
13. 23 13.20 13.18 13.15 13.13 13.12 13. 08 13.05
.994459 .994438 .9944l8
D 1" -'--' .33 .33 .33 .33 .35 .33 .33 .33
.35
T an". -... +D. 1".' I COtaDg..:.......c 10. 800287. 9.199713 13. 60 799471 .200629 13.00 ·798655 .201345 13. 57 : 797841 .202159 13.53 797029 .202971 13. 52 : 796218 .203782 13.50 .'/IlM08 .204592 13. Q .71'Il00 .205400 13. 4Ii • '/1113793 .206207 13.43 .792987 .207013 13.40 .792183 .lIl7817 13. 37 10. 790680 791381 35
~9
10 • 202234 '11 9.200017 12 203797 13 204577 14 205351 15 206131 16 200906 lIl7679 17 18 208452 19 .209222 20' .209992 21 9.210700 22 .211526 23 • 212291 24 .213055 25 .213818 26 .214579 27 .215338 28 .210097 29 .216854 30 .217009 31 9.218363 32 .219116 1'8 33 • 2206 21l1868 84 ·221357 35 ••• 222222861 115 36
13. 05 13.00 13. 00 12.95 12. 95 12. 92 12.88 12.88 12.83 12.83 12.80 12.77 12. 71i 12. 73 12.72 12.68 12.66 12.65 12. 62 12. 58 12.57 12. 55 12. 53 12.50 IIi
.33 .33 . 35 9: 21»420 .33 • .35... .33 . 2118Hj • 35 : 212611 .35. 218405 .33 .214198 .35 .214989 .35 .216780 .35 9.2161i68 .33 .217856 .35 218142 .35 : • 35 • 219 .35 .220f92 .35 221272 .35 : 222652 .35 .222830 • 35 • 223e07 .35 9.224382 .37 .225l56 • 35 • 225029 .35 .2267tIII .35 .227471 228239 .229007 • 37 . 229773
33 13. 30 13. 28 13. 27 13. 23 13.22 13.18 13.18 13.13 13.18 13.10 13.07 13. 07 13. 03 13.00 13 00 12: 97 12.95 12. 92 12.90 12.88 12. 85 12. 85 12.80 12.80 12.77 12. 77
37
.23OIlS
.35 . 23OQ,'I9 12.38 .99118 . 3 7 . 231302 12. 38 .9Il3789 .35 9.232065 12.35 9.993768 .37 .232826 2 30 12. 33 .993746 .35 .233536 12.'28 .37 .23484Ii """'.37 . 235lOS 12. 27 .99368l • 35 235859 12.23 .9931!OO .37 : 236614 12. 23 • .37 .237388 12.20.91136 .37 .238120
12. 7ll 12. 72 12.68 12.67 12. 65 12.63 12. 00 12. 58 12. 67 12. 63 12.53
: 232444
'12.13
~
12.12 12.10 12.07 12.07 12.03 . . 00 12.00 11.97 11.95
38 89 40 41 411 43 44 46 46 47 49 48 50 61 62 63 54
~
" 58 MI
L ...~
~ ·~111
0.
-,~
: 228048 .228784 •
2295t~
.= ::::~ 9.233172 • • .....,"" .1136349 236073 :""'" .237515 238235 :238853
.994233 I
.994212 9.994191 994171 • 994150 : 994129 .994108 .994087
.~
.994066
"'""~ : 994003
9. 9931182 • 993960
~ •.~ _5 12. 43 .9938M U. 42 . 9938fi
=
• • 2 .22509 -
9.!194398 994377 994357 .994336 • 994316 .994295 994274 : 994254
9.239670 --, COlIne. D. l' •
.99393Q
~!I0220018
2l~
:~
'.~03 ~
:::= .....,<~
9.
~t
7~ 7881 ....
• 789780 •
: 7lI7389 • 786695 .786802 .785011 .784220 10. 781432 .782644 .78181;8 781074 : 780290 • 779508
'~8 ... ~
: 77n 70 .776893 10.7756l8 774844 :7701071 • 773300 • 772529 .771761 .7701193 •• 76194
~
• 768e98
10. 767935 .767174 .7t16414. .766655 .784897 .761141 • 763386 .762632 .761880 .761128
, I
60 MI 68 67 66 : 63
62 61 60
4.
48 47 48 46 44 f3 42 41 40 89 38 87
88 35 34 83 32 81
30 29 28
27 26 25 24 113 112 21 20 19 18
U Iii 14 13 12 11 10
:ll .""" .... ,..7596 _:: :7 12.48
9.239622 """""" • 37 .240371 .993528 .37 .241118 .lIII3506 .37 241865 .1IIJ3484 .37 :242610 .9Il346Z .37 .243354 998440 .37 .244097 :993396 """ . " ...... .37 .245579 993374 .38 9.246319 9.993351 ___ . ___
~ D. 1".1 Cotang. _ 136
12. 45 .758882 12.45 .758135 12. 42 .767390 12.40 .756646 12. 38 .755903 12.37 .755161 ' ' ' ' 10.76363l_ .,.... 12.33 __ _ D 1" . Tang.
•
•
66
-4 3 2 : , __
sO;
TANGENTS. AND CO'I'ANGBNTS.
10·
,
Sine.
D.l".
.240386 .241101 .241814 .242526 .243237 .243947 .244656 .245363 .246069 .246775 9.247478 .248181 .248883 .249583 .2ro.l82
11.93 11.92 11.88 11.87 11.85 11.83 11.82 11.78 11.77 11.77 11.72 11.72 11.70 11.67 11.65 11.63 11.62 11.60 11.57 11.57 11.53 11.62 11.50 11.48 11.47 11.45 11.42 11.42 11.38 11.37 11.35 11.33 11.32 11.30
Coslne~
D.I".
Tang.
D.I".
.247057 .247794 • 248530 .249264 .249998
12. 30 12.28
- - --- - - - - - - - - - - - - 0- -9.239670 9.993351 9.246319 1 2 3 4 6 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
24 25 26
ZT
28
29
30 31 32 33 34 35
.250980
.251677 .252373 .253067 .253761 9.254453 .255144 .255834 .256523 .257211 257898
.258583 .259268 .259951
.260633 9.261314 .261994
.2626'l3
.263351
.264027
39 40
.264703 .265377 .266051 .266723 .267395
41
9268005
36 37 38
.268734 42 .269402 43 ZT0069 44 .ZT0735 45 .ZTI400 46 47 .'l:T2064 .ZTZT26 48 .ZT3388 49 .ZT4049 50 9.ZT47!ll 61 52 .ZT5367 .ZT6025 53 54 .ZT6681 65. .277337 56 .ZT7991 67 .ZT8645 68 .2711!!17 69 .2'199<48 60 9.280599
11.ZT I1.ZT
11.23 11.23 11.20 11.20 11.17 11.15 11.13 11.12 11.10 11.08 11.07 11.03 11.03 11.02 10.98 10.98 10.97 10.93 10.93 10.90 10.90 10.87 10.85 10.85
.900329 .993307
37 .37
.993284 .993262 .993240 .993217 .993195 .993172 .993149
.37 .37
.9931ZT 9.993104 .993081 .993059 .993036 .993013
.992990 .992967 .992944 .922921
.992898 9.992875 .992852
.992829 .992806
.992783 .992759
.992736 .992713 .992690
.992666 9.992643 .992619 .992596 .992572 .992549 .992525 .992501 .992478 .992454
.992430 9.992406
.992382
.• 992359
.992335
.992311 .992287 .992263
.992239
.992214 .992190 9.992166 .992142 .992118
.992093 .992000
.992044
.992020
.991996 .991971 9.991947
.38 .38 .37 .38 .38 .37 .38
.38
.37
.38
.38 .38
.38
.38 .38
.38 .38 .38 .38 .38 .38
.40 .38 .38 .38
.40 .38
• 40 .38
.40 .38
.40 .40
.38
.40 .40 .40 .40 .38 .40 .40 .40 .40 .40 .42 .40 .40 .40 .40 .42 .40 .42 .40 .40 .42 .40
-,- - - - - - - - - - - - CosIne. D.l". Sine. D.l". 100·
.250730
.251461 .252191 .252920
.253648
9. 254374 .255100 .255824 .256547 .257269 .257990 .258710 .259429 .260146
.26OIl63
9.261578 .262292 .263005 .263717
.264428
.265138 .266847 .266555 .267261 .267967 9.268671 .269375 .ZTOO77
.ZT0779 .ZT14T9
.272178
.ZT2876 .ZT3573 .ZT4269 .ZT4964 9.ZT5658 .ZT6351 • 'l:T7043 .277734
.ZT8424 .ZT9113 .ZT9801 .280488 .281174
.281858 9.282542
.283225
.283907 .284588
.285268 .285947 .286624 .287301 .287977 9.288652
12.ZT
12.23 12.23 12.20 12.18 12.17 12.15 12.13 12.10 12.10 12.07 12.05 12.03 12.02 12.00 11.98 11.95 11.95 11.92 11.90 11.88 11.87 11.85 11.88 11.82 11.80 11.77 11.77 11.73 11.73. 11.70 11.70 11.67 11.65 11.63 11.62 11..60 11.58 11.57 11.65 11.53 11.52 11.50 11.48 11.47 11.45 11.43 11.40 11.40 11.38 11.37 11.35
11.33 11.32 11.28 11.28
11.ZT
11.25
-Cotang. - ---D.I".
169· Cotang. 16. 753681 .752943 .752206 .751470 .750796 .750002 .749270 .748539 .747809 .747080 .746352 16. 745626 .744900 .744176 .743453 .742791 .742010 .741290
.74ffi71
.7~4 .7 197 10. 738422 .7377!ll .736995 .736283 .735572 .734862 .734153 .733445 .732739
, 60 69
68 57 . 56 65 64 53
52
51 50 49 48 47 46 45 44 43
42 41
40 39 38
37
.732033
36 35 34 33 32 31 30
10.731329 .730625
28
.729923
.729221 .728521
.7ZT822
.727124 .7~7
.725731 .725036 10. 724342 .723649 .722957 .722266 .721576 .720887 .720199 .719512 .718826 .718142 10.717458 .716775 .716093 .715412 .714732 .714053 .713376 .712699 .712023 10. 711348
Tang.
29 ZT
26 25 24 23
22
21 20 19 18 17 16 15 14 13 12 11 10
II 8 7 6
.5 4 3
2 1 0
, 79°
187
11°
10. 82 10. 82 10. 78 10. 77 10. 77 10. 73 10. 73 10. 70 10. 70 10. 67 10. 67 10. 63 10. 63
1460 10. 60
21
9. m (Q9
24 26
. 2115013
~
. 200.58 . 290286 . 200639
~
. 2971 64 . 207788
211
. 200034
28
. 298412
30
. 290055 11. 300276
31 32
aa
34 36
36 i7 ali
311 .0 fl
~
43
" 46
48 47 48
411 50 61 62 63 64 65 66 67 68 69 00
10.57 10.57 10. 55 10.52 10.52 10. 50 10.48 10. 47 10. 46 10. 43 10. 42 10. 40 10. 40 10. 37 10.36 10. 36 10. 32 10. 32 10. 30 10. 27 10.27 10.26 10.23 10. 23 10. 20 10.18 10.18 10.15 10. 15 10.13 10.12 10.10 10. 08 10. 07" 10. 07 10. 03 100m 10. 02 9.98 10. 00
11.97 9. !IIi O.!IIi
9.92 9: 92
9.991947
• WIlla
.42
1897
. 42
1848 • 'iS23
.42 .40 .42 .42
1873
. 991799 . 991774 • 99H 49 .991724 . 991009 9.991674 .991649 .991624 .991599 .991574 .991649 .991524 . 991498 . 991473 .991448 9.991422 .9913117
• l1li1372 • l1li1346
.991321 .9912115 .991270 .9912" .991218 .991193 9. 991167
. 091141
. 991115 . 991 090
. 901 064 . 09I(XI8 . 991 012
.40 .42
.42 .42 .42 .42 . 42 .42
. 42
9. 288652
.2893:16 . 28D999 .2110671 .291342 .292013
.292682 . 293360 .294017
.42
.43 .42 .42 .43 . 42 .43 .42
.43 .43 .42 .43 .43 .43 .42 .43 .43 .43 .43 .43 .43 .43 .43 . 45 .43 . 43 .43 .45 .43 .45 .43 .43 .46
.45 .43
.45 .45 .43 .45 .45 • 45
133
707'Jfr1
.701318 .706650
.705883
. 294684
".7053l6 .704651
9. lIIIOO13 . 2OOt177 . 297:139 1
10. 7031187
.2115349
.703.123 .702001
.701 9911 .701 338
.42
.42 .43 .42
10. 711348 . 710674 .71(D)1 .70II32II 7Oi658
.700G78 "700020
. 30l2Q5
. 301!11il 9. 302607 . 303261 . 303914 . 304667 . 305218
.305869 .;106519
. 307168 . 307816
.308463 9. 3011109 .30D764 . 310399 . 311042 .311685
. 312327 .312968 .313608 .3142017
60 69
68 67 56 66
&4 63
52 61
60
411
48
i45
" 43
G
4l
.0 311
ali
"¥1 36 36 34 33 32
31 30
211
28
'r1
~
26
24 23 22 21
. 314885
lKI
9.316623 .316169
18
. 316796 . 317430
.318064 .31869"1
. 319330 . 319961 . 320692 .321222 9. 321861 479
. :123106 323733 . 324358 . 324rgj .:I2T.007
.3"., I . 3" • 9. 327475
19 17
16 15 14
13 12
11 10 II 8 7 II
, a 6
2 1
o
TA.NGJlNTS, AN. 007ANQliiX'I'8.
18°
,I
Sine.
D.II/a
CosIne.
D.I".
9. 9IlO404
.43
9.327475
.45 .45 .45 .45
.328715
.329953
.47
.&'U803
TuIg.
D.l".
lb7· Cotang.
,
~---
0 1 2 3 4
~.317879
6 7
.318473 .3111066 .31ge,;g .32Ol49 .320840 .3214,'10 .322019
8
.322ti07
5
9 10
.323194 .323780
11 12
9.324366 .3249,50 .325634 .326117 .336700 .327281
13 14 15 16 17 18 19 20 21
22 :l3 24 26
116 27 28
29 30 31 32
33 84 35 36 37 88
39 40 41
42 43 44 45 46 47
48
49 60 III 62
53 54 65 66
~ 119
.327862 .328442 .32IICl!1
.329699 9. 330176 . 330753 . 331329 • 3,1 19(J3 . 3a2478 .333051 .333624 ,334195 .334767 . 335337
9.335906 .336475
.337043 .337610 .338176 .338742 .339307 .339871 .840434 .340W6 9.341558 .342119 .342679 .343239 .348797 .844365 .344912 .3411469 .1146024 .846579 9.3f7l34 .847687 .348240
.348792 .849343
.34Il893 .360443
.360992
00
.361540 9.36lI088
,
CosIne.
1M·
~.IIO ~.88
9.87 9.85 9.85 9.88 9.32 9.80 9.78 9.77 9.77 9.78 9.78 9.72 9.72 9.68 9.68 9.67 9.65 9.63 '9.62 9.62 9.60 9.57 9.58 9.65 9.65 11.52 9.53 9.50
9.411 9.411 9.47 9.45 9.43 9.43 9.42 9.40 9.38 9.37 9.37 9.35 9.33 9.33 ~.30
9.39 ~.28
~.28
9.2tI 9.2tI 9.2tI 9.22 9.22 9.20 9.18 9.17 9.17 9.15 9.13 11.13
D.l".
.900378 .lI903II1 .900324
.W0297 .1lIlO370
.W0043
.WQ215 .990188 .990161 .990184
9.990107 .9Il0079 .9Q0052 • !19()005
.98m'l .911U970
.1l8SIII42
.98IlQ15
.989887
.9811860 9. fI89832
.9811804
.989777 .989749 .989721
.989693 .989665 .1l89637 .989610
.1189582 9.989553
.1189525 .989497
.989469 .989441 .989413
.989385 .989356 .1189328 .989300 9.98Iltl71
.989'J43 .989214 .989185 .989157 .989128 .1l891oo .1l8II071
.98U042 .1189014 9.1188085
.988i56 .1J88j27
.1188898 .988869 .988840 .1188811
.1I887lI2 .988753 9.1l88724
Bine.
.46
.45 .45 .45 .45 .47
.45 .45 .47
.45 .47
.45 .47
.45 .47 .47
.45 .47 .47 .47 .47 .47
.45 .47
.411 .47 .47 .47 .47 .47 .47
.48 .47 .47
.411 .• 47 .48 .47 .48
.411
.47 .48 .48 .47 .48 .48 .48 .48 .48 .48 .48 .48 .48 .48
D.I".
.3:l8IJQ5
.32Q334
.330670 .331187 .332418 .333003
.333646 9.334269 .334871
10.33 10. 33 lQ.32 10. 32 10.28 10.28 10. 27 10. 26 10. 26 10.22 10.22
.339739
10. 20 10.18 10.18 10; 15 10.15 10.13 10.13 10.10 10.10 100Ql
9.840844
10.111
.336482 .336003 .336702 .337311 .33'11119 .338527 .339133
.340948 .341652 .342165
.34Zl57 .343368 .343968 .344658 .845157 .346765 9.846353 .346949 .347545 .348141 .348735 .849329 .349922 .350514 .351106 .351697 9.352287 .352876
.353465 .364063 .364640 .365227 .365813 .356398 .356982 .367566 9.358149 .358731 .359313 .35111W8 .360474 .3610113 .361632 .382210. .362787 9.363364
Cotang.
10.07 10. 06 10.03 10.02 10.00 10.00 9.118 9.97 9.97 9.911 9.11i1 9.11i1 9.90 9.90 9.88 9.87 9,87 9.85 9.83 9.82 9.82 9.80 9.78 9. 78 9.77 9.711 9.73 9.73
9.72 9,70 9.79 9.67 9.68 9.65 9.65 11.63 9.~
II:~
D.I".
10. 612526 .671905
60 59
.67l285 .6706Ii6
58
.670047 .6611430 .6688l3 .668197 .667532
.660967
.666354 10. 665741 .665129 .664518
.663907 • tI6II298 .662ti89 .662081 .1161473
':If
1 • 10. 659656 .659052 .658448 .657845 .657243 .656642
.656042
.665442
.654843 .654245 10. 6Il3647 .653051 .652465 .651859 .651265 .660671 .660078 .649486 .648894 .648303 10. 647713 .647124
.646535 .645947
.645360 .644773 .644187 .643602 .643018 .642434 10. 641851 .641269 .640687 .640107 .639526 .638947 .638368
.637790 .637213 10.636636
Tang.
57 66 M 54 53 62 51 60
49 411 47
46 46 44
'43 42 41
40 39 38
:rr
36 36 84
33 32 31 30
29 28 27
2G 25 24
23
22
21 20 19 18 17 16 15 14 13 1~
11 10 9 8 7
8
, 6
3 2 1 0
, 7TO
TABLE &.-LOUAltITRMIC 81NKS, OOSINES,
13"
, SIDe. D.I". - - - - - --0 1 2 3
, 6 6 7 8 9 10 11 12 13 14 16 16 17 18 19 20 21 22 23
24 26 26 27 28 99 30 31 32
33
U 36 30 37 38 39 40 41 42 43 44 46 46 47 48 49
60 61· 62 63 64 56 56 57 68 69 00
9.352088
.352635 .353181 .353726 .354271 .3548l5 .356358 .356001 .356443
.356984 .357524 9.358OlI4 .358603 .359141 .369678 .360215 .360762 .361287 .361822
:=
9.363422 .363954
.364485 .36Ii016 .366646 .366076
.366604 .367131 .367659 .368185 9.368711
.369236 .369761 .370285 .37Q808
.371330 .371852 .372373
.372894 .373414 0.373933 .374462 .374970 .376487 .376003 .378519
.377035
.3'77M9
.378063 .378577 9.379089 .379601 .380113 .380624 .381134 .381643 .382152 .382661 .383168 9.383675
9.13 9.10 9.08 9.08 9.07 9.06 9. OS 9.03 9.02 9.00 9.00 8.98 8.97 8.95 8.95 8.95 8.92 8.92 8.00 8.88 8.88 8.87 8.85 8.85 8.83 8.82 8.82 , 8. 78 8.80 8. 77 8.77 8. 75 8. 75 8.72 8.72 8.70 8.70 8.68 8.68 8.67 8.66 8.66 8.63 8.62 8.60 8.60 8.60 8.67 8.57 8.57 8.63 8.63 8.63 8.62 8.50
t:i 8.48 8.46 8.46
-,- - - - - - CosIne.
D.l"·1
CosIne.
D.l".
Tang.
- - --- --9.988724 9.363364 .988696 .988066 .988636 .988607 .988678
• \l88648 .988619 .988489
.988460
.48 .48 .50 .48 .48 .50 .48 .50 .48 .50
.363940 .364515
.366090 .365664 .366237 .366810 .367382 .367963 .368624
.368094
.988430
.48
9.988401 .988371 .988342 .988312
.50 .48 .50 .50 .50 .48 .50 .50 .50 .50 .60 .60 .60 .60 60 .52 .60 .60 .50 .52 .50 .52 .50 .52 .50 .52 .50 .52 .52 .50
9.369663 .370232 .370799 .371367 .371933 .372499 .373064 .373629 .374193 .374756 9.376319
.52
9.386438
.988282 .988252
.988223 .988193 .988163 .988133 9.988100
.988073 .988043 .988013 .987983
.987953 .98'1lI22 .987892 .987862 .987832 9. 987801
.987771 .1187740 .1187710 .987679 .987649 .187618
.987S88 .987567 .987626 9.987496 .987466 .987484
.1187400 .987372 .987341 .987310
.987279
.62 .62 .52 .52 .52 .52 .52 .52 .52 .52 .52 .63 .52
.1187248 .1187217 9.987186 .987156 .987124 .987092 .987061 .987030
.62
.986967
.62
.986998 .986936
9.986004
.63 .52 .63
-Sine. - - --D.I",
leao
• 37S881 .376442
377000 .377563 .878122 .378681 .379239 .379797 .380354 9.380910 .38H66
.382020 .882575 .383129
.383682 .384234 .384786
.3853.'17 .385888
.386987
.387636
.388084 .388631 .389178 .389724 .390270 .390815 .391360 9.391900 .392447
.392989 .393631 .394073 .394614 .395154
.396694 .396233 9.396771
I Cotan~
D.I", 9.60 9.M 9.M 9.67 9.56 9.56 9.63 9.62 9.62 9.50 9.48 9.48 9.46 9.47 9.43 9.43 9.42 9.42 9.40 9.38 9.38 9.37 9.35 9.35 9.33 9.32 9.32 9.30 9.30 9.28 9.27 9.27 9.23 9.25 9.23 9.22 9.20 9.20 9.18 9.18 9.17 0.16 9.16 9.13 9.12 9.12 9.10 9.10 9.08 9.08 9.06 9.07 9.00 9.00 9.00 9.02 9.00 9.00 8.98 8.97
D.I".
168"
Cotang. 10.636036
.636000 .635485 .634910 .634336 .633763 .633100 .632618 .632047 .631476
.630S06 10. 630337 .629768 .629201
, 60 59 M 57
56 56
64 63 52 61 50
49 48
.628633
47 46
.628067 .627501
44
.626936' .626371
.625807 .625244 10. 624681 .624119 .623568 .622997 .622437 .621878 .621319 .620761 .620203 .619646 10. 610000 .618534 .617980 .617425 .616871 .616318 .615766 .615214 .614663 .614112 10. 613562 .613013 .612464 .611916 .611369 .610822 .610276 .609730 .600185 .608640 10. 6(1!()97 .607563 .607011 .606469 .605927
46 43 42 41 40 39 38 37 36 35 84 33 32 31 30
29 28
27
26 25
24 2a 2t 21 20 19 18 17 16 15
1-4
.605386
13 12 11 10 9 8 7 6 6 4
.604846 .604306 .600767 10. 603229
2 1 0
Tang.
,
3
76'
140
TANGENTS, .A. ND COTA.NGENTS.,
1.'
I ' 1 o
1 2 3 4 6 6
7 8 9 10 11 12 13 14 16 16 17 18
19
20
21 22
23 24 25 26
Z1
'28
29
Sine.
385192 · 97 .3856 1
.38620
.386704
.387207 .3877.~
.3882 .388711 9.389211 389711
40 41 42 43 44 45
.393191
ao.673
:396l66
:: 396641 • 397132 • 397621 :398111
.=
.: .401520
8.07 8.05 8.05 8.05
:402972 .400465 9.400938
.: :405382 .407299
L
8.17 8.15 8.13 8.12 8.12 8.12 8.10 8.08 8.08
.3996
48
69 60
8.15
.398600
47 49 60 51 52 53 64 66 66 67 68
9. 986666
.393685 9.394179
.406862 .406341 .406820
46
8.33 8.32 8.30 8.30 8.28 8.27 8.27 8.27 8.23 8.23 8.23 8.22 8.20 8.20 8.18 8.18
.3921: .3926
:401036
38 89
9. 986904 986873
390708 :391206 .391703
8.00 8.02 8.02 8.00 7.98 7.98 7.98 7.97 7.96 7.95 7.93 7.93 7.92 7.92 7.90 7.88 7.88 7.87 7.87
.407777
.408254 II 408731
• 409207
409682 .410157
.410632 .411106 .411579 4l2052 :412524 9.4l2996
Cosine.
T
D. 1".
I'
186"
D.1". 1
TBDg.
n~.l Co... -..
,I
.1----1
8.45 8.42 8.42 8.42 8.«) 8.38 8.38 8.37 8.35 8.35 '8.33
:390210
35
34
--
.384687
g.~
36 37
D.1".1 CosIne.
9.3836~ .3841
30 31 32' 33
D_._. 1"
.62 .53 .53 .62 .53 .53 .62 .53 .53 .53 .53 .53 .53 .53 .53 .53 .53 .53 .53 .66 .53
986841
.986809
.986778 .986746 .986714
.986683
1186651
: 986619
.986587 .9866~ .98649 .986469 .986427 .986395 • Il86363 .986331 .986299
.986266
.:
'9.986284
.53 .66 .53 .66 .53 .66 .53 .66 .53 .66 .66 .66 .53 .66 .66 .66 .66 .66 .66 .66
:986137 .9861~
.98607
9
:~
.986
.986942
.=
9.986~
.98687
:986778 .986745 985712 • 986679
:985646 986613
9.: '985614
:~
'=4 :985381
.985347 .985314
.985280
1
.66 .66 .67 • 66
:~
.57
9.396771 , .397309 .397846
:.= 398383 398919 400524 401058
401591
402l24 9.402666
.400187 .403718 404249 :40078
.406308 .405886 .406364 .406892 .407419
.=
9.~ .4084
' : 410045 : .410669 .4110112 .ill615 , .4l2U7 .4l2668 9.41~
::14219 .414738 .415257
.41~
::16810 .417326 .417842 9.418368 '. 418873 .419387 .419901 • 42041li
::1 .421~
:~ :~4 .66 .57
.985180
:~
9. 42:U84 .423WI
.=
.66 .57 .57 .57 .66 .57
:426619
• «16634 .42700 .427647 9.G!062
D. 1".
CotaDg.
9.9852t~ .9862
.986146 .98611g .98507
:984978
9.984944 Sine.
104"
141
.: .426027
I
8.97 8.96 8.95 8.93 8.93 8.92 8.90 8.90 8.88 8.88 8.87 8.86 8.86 8.86 8.82 8.83 8.80 8.80 8.80 8. 78 8.77 8.77 8. 76 8. 75 8.73 8.73 8.72 8.72 8.70 8.68 8.68
10.:
8.67 8.67
10.586821 , .586301 586781
8.65 8.65 8.63 8.63
8.62
8.60 8.60
8.60 8.68 8.67 8.57 8.57 8.66 8.66 &53 8.52 &62 8.60
8.48 8.60 8.47 8.47 8.47 8.46
8.46 8.43 8.42
D. 1".
602154 601617 .601081
.= :599476
.698942 .598409 .697876
10.697344 .596813
60 69 68 67 66 66 64 53 62 61 60 49 ~
.598282
46
.=
.5116751
.695222
:
.694692
43
:693108
42 41 40
.592581' 10.592OM
39
.~~
37 36 35
.591529 • 6811955 • 689431
:588IlO8 .588386 .587863 .587342
:586262 584743
• 684225 :583707 583190
:582674 .582168 10.581642 .681127 .580613
.580099 .579586 .579073 .578fi60 .578048 .577537
.577026
38
34 33 32 31 30 211 28 27 26 26 24 23 22
21
20 19 18 17 16
15
14 13 12
11
10
10. 578616 : .576007 7 .576497 II .574989 .574481 5 .673973 4 .573466 3 .572959 ~ .572453 0 1D.671~ _ _
Tang.
1'
TABLE •• -LOGABIT8MICl 8IK88.
14·· BIDe. 0 1 2
8 4 6 6 7
B
"
10
·11
12
18 14 16 16 17 18 19
·10 21
22 23
14 25
26 77 lIB
211
II. 4129116 .413467 .413938 .414408 .414878 .4111847 .411;8.15 .416283 .416751 .417217 .417684 1I.4181l!O .418615 .4111079 .419544 .420007 420470 .4201133 .421395 .421857 .ml18 II. 42277lI
.GW8 .GIIl97 .4241156 .424616
.GII073 .425630
.425Wl .G6443
l1II
.426899
at
11.42785.
12
.427809
33
.42Irl63 ._117
34 16 811
rr
811
89
40 41 42
.GI70 .G11623 .430075 .Gl527 .4301178 .431429 11.4818711
.4i1'J329
48 44
.432778
~
.433675
46 47
.CJ4l22
48 CD 60 61 52 83 54 116
156 57 08 69
eo
.433226 .48t669 • tiIIi016 .436462 .43li808
1l.43m53 .436798
• -137242 .487686 .438129 .438672 .439014 .439456 .4398117
9. 4403J8 CoIbIe.
D.I". 7.86 7.86 7.83 7.83 7.82 7.80 7.80 780 7.77 7.78 1.77 7.76 7.78 7.76 7.72 7.72 7.72 7.70 7.70 7.68 7.61
CGIIne.
.984740 .1184706 .1184672
.57 .67 .67 .57 .67 .67 .57 .57 .57
.1I84Im
.68
.984910
.1ISC876 .~ .~
984774
.1184638
9.984l16lI .0M836
.1I84IlOO .984466 .U84CtI .1I848tI7 • tl84863 .984328 .9842e4 .1l84lI5II
7.52 7.52 7.50 7.50 7.48
7• .f1
7.48 7.45 7.45 7.45 7.43 7.43 7• • 7.42 7.40 7.40 7.38 7.38
7.'If1 7.'If1 7.38 7.36
D. 1".
.57 .67
.428Sli8 .429062 .421J666 .430070 :430673 .431075
.40'11677 .432079 .432680 .48:Q!O
.68
.b7
.67
.68 .67
.68 .67
.68 • liB .67
.68 • liB • liB .68 .68
7.66 7.66 7.66 7.68 7.1D 7.1D 7.60 7.60 7.liIi
7.SS 7.SS
TIq.
D.l".
- - ---9.1l84IM4 - - - - - -9.4280112
7.m
7.M 7.57 7.67 7.55 7.55
D.I".
008D-.
.67
9.983876
• !Il384O • g{I38OS
.G83770 .983736 .1l83700 • tIII36M .983629
.9Il3594 .1l83llI8 9.9I!3Ii23
.1l834W1 .1III345e .1183416 .9IIlI381 .911334/)
.983309
• \l83278
.1183238 .9832Ql
9.1183186 .1183130
.9830114 •.983Q22 \l83068 .982986
.9829110 • B821114 .982878 9.111!1111142
81118.
• liB .68 .60 • liB • liB • liB • liB • liB .60 • liB • liB .60 • liB .00 • liB .00 • liB .00 .00 .00 • liB .00 .00 .00 .60 .00 .60 .60 .60 .00 .00 .00
8.43 8.40 8.40 8.40 838 8.37 837 8.37 8.36 8.33 8.33 8.33 8.32 8.32 8.30 8.28 8.28 8.28 8.27 8.27 &26 8.23 8.25 8.22 8.22 8.22 8.20 8.20 8.18 8.18
&18
9.4483156 .448841
.4411B26 .4411110
.45O'H .4fJ1J777 .451260 .451 7 43
.452225 .45mJ6
8.15 II 17 8.15 8.13 8.13 8.13 8.13 8.10 8.10 8.10 8.08 8.08 &07 8.07 8.05 8.05 8.05
8.03 8.Ql
1M·
Colan«. 10. 571948 .571442 .670938 .570434
156 116 54 63
.668925 .668423 .6671121
.667420
.1I649Z2
46
.664C!4 .663927
.1i8343O .562933 .562437 .361941 10.361446 .l!60962 .6e0467
.M9964
----- - - D.l". CoIallW. D,I".
1I8 36 34
• 1167994 .5057.503 .M7012 10.M6621
.M6032 .MM42 .Ml!063 .lI54I565 .M«m .1l63689
.1563182 .1162616 .1l62l30 10 1161644 .1161159
.M0e7' .1l60190
.549'706 .549223 .M8740 .648257 .5m75
8.00 8.00 7.98 7.98 7.117 7.117 7.95
7.95
811 38
'If1
88 3\1 .
.454148
.~
42 41 40
.1iIi8486
11.02
.457019 9.4117_
4Ii 44 43
.669471 .1ll58978
.1Im94
.4S88CI
51
10.566420 .665920 .565421
10.648813
.45IIlIII6
52
l!O 49 <18 .fl
.666OlIO
9.4113187
.4648:18 .45IIlrt1
67
660030 .569427
8oOl!
.453e!18
60 59
68
.546332 .5411852 .&458'12
.544893
.544414 .648936 .643458 .642981 10.6424Of
31
30 29 28 27
26 26 24
23
22 11
10 1. 18 17 18 15 14 18 12
11 10 9 8 7
8 5 4
8 2 1 0
TtuI«. h··
1. .• l~
1.·,
TAl'fGENT8, AKD COTAN'GBIi'1'8. Sine.
D.1"·1
CosIne.
D.l".
.982805 .1182769
.60 .60 .62 .60 .60 .62 .60 .62
TIUIg.
- -- - - - - - 0- --- - - - 9. 461496 9.982842 9. «0338
1 3
.440778 .441218 .441.668
4
.442O!l6
6 6 7 8 9 10
.442535 .442973 .443410 .443847 .444284
2
.444720
11 12
9.~166
14
.~9 .~
13
15 16 17 18 19
.446690
.4fM25
.447326
20
.4f7759 .448191 .448623 .HI054
11
9.44INM
22 23
.4411915 .460345 .450775 .461204 .451632 .46:DiO
~
25
26 111 !IS 39
.~1l488 .~15
81
.458342 9.453768
32 33 34
454619 . 455044
ao
86
36 37 38 39
40 41. 42
43
4114194
469 . 46681l3
· 16 : 460739 . 457162 . 457684
9. 4Ii8OO6 .~
.468848
.469268
44 45 46 47 48 .9 50
.461364 .461782
61
IU !121 99
62 63 64
. 462\\16 . 463032 . «13448
.469688
.«101.08
• «10627 .41111»t6
65
• «ll864
66 1\7
'94
OS.
,9
eo
.
....
79
108 . 4M622
\t; 4009311
CoIIIDIli
7.33 I 7.33 7.33 7.30 7.32 730 7.28 7.28 7.28 7.71
.982733 .ll82696
• !l82OOO
.982624
.1lIfll587
.982561 .982614 .9!12477 5 9.118244l. 7.2 7.25 1 .1182«>4 7.25 .1l82367 7.23 .1182331 7.23 .982294 7.22 .1l82257 7.22 .1182220 7.20 .981183 7.20 .1182146 7.18 .1182109 7.18 7.17 9.9!W72 .91!1!W5 7.17 .9819118 7.17 .1181961 7.15 • 9819'J4 7.13 .981886 f.13 .981849 7.13 .981812 7.12 .981774 7.12 .981737 7.10 9.981700 7.10 .981662 1. (II! .981625 1. (II! .981687 7. (II! .981549 7.07 .981512 1.05 .981174 1.00 .981436 f.OO .981399 1.m I .981861 7.m 7.0I! 9.181~ .981 7.0I! .981247 7.00 .981200 7.00 .981171 1.00 .181133 6911 .9810116 G.911 .181067 G.1I1 .!IIIlOIB G.97 .I80Il81
G.1lII G.1lII G.9B &911 1.911 &.911 1.911 1.90 &90 1.81
D.l"~
9.1lII0942 • tI!!OIl(M
.aQ1116
.-.r1
.-.u .~
.1MI'l2 .9111818 • tIIIBl5 9.111D116
81DB.
.62
.62
.60 .62 .62
.60 .62 .62 .62 .62 .62 .62
.62 .62 .62 .62 .62 .63
.62 .62 .1\3 .62 .62 .63 .62 .63 .63
.62 .63 .63
.62 .63 .63 .63 .63 .63 .63 .63 .63 .63 .63 .63
.66 .63 .63 .66 .63
,66 63 .66 .63 .85
--D.l".
1411
.457973 .458449
• t68925
.469400 .4611875 • 46004~ • «10823 .46l297 .461770 .41W42 9.4WTl5 .463186
.4636118 .464128 .4B4Im .~
• 401153~ .486008 .4BM17 .4861165
9. 4Ir7f1.3 .4Ir7111!O .468347 .4088i4
.46II'J8O .400746 .4'1O'J11 .f70876
.I7UfI.
.171605
9.47lIOO9 .41253'J .4T2W5
.47MB7 .478919. .474381 .474842 .1763m .176783 .4~
9. 4700& . 4711 42
. 4ntlOl
. 47~
. 41 rU7 . 41 /) . 47!14.'f.1 . 479889
. 480345 .481811
1I. 4XlM7 1112
;1 •
,·
1
/)
: 484.~ . ~f
9. 4I11III39
-Cot8llg. --
D.I". 7.00 7.93 7.93 7.92 7.112 7.90 7.90 7.90 7.88
7.trl
Cotang.
,
16.542504 .6420Z7 .64l.661 .64l.075
60 69 68 67
66 • &«l6OO • MOI25 ·66 64 63
.1139661 .639177 .638703
7.88 1.86
.&31768 10.6372II!i
7.88 1.86 1.88 7.88 7.M!
.636342 .113/1872 .&311401 .634931
7.trl
7.1lIl
7.80 7.80 7.78 778 7.78 7.77 7.77 7.71i r.75 7.76 7.78
7.73
.&14461 .&33992
.~
.&33005 10. D3'JM7
.3S'J120 .&31663 .1131186 .&80720 .1I8Wi4
'.liI
D.I".
I
43
G 41
40
39 38
37
96 86
84
.&:IIm4 .A28869
31
.6l!8395
. 1122868
1.51 7.68 7.1.7 7./)1 7./)1 1.511 1.511 f.53
46 45
oM
83
1.811 7.85 1.83 7.83
1.60 7.00
·49 48 47
.1I1!9789
10.&27931
1.00
60
.698814
7.12 7.12 7.70 7.70 7.70 7.011 7.011 7.8f 7.67 7.67
'1.03 7.112 7.111
62 61
.638230
S2
30 119
.627468
!IS
.b26543
'"25
.1127005
.lI28081 .5l!116l.9 .1IZ168
.6Il4697 .61l4237 .6a3117
W..~23311
· 22399 .621941
,rm483
• bill!rl5 • ~206ti8 .020111 .M9f166 . lII I V9
10.1I1!11'41
.811288 .1I1T8a3 .31'1379
• &l1l8'l5 .lItIN7l .11_18
.11M1l5
.516113 10.11'-
'hII«.
2'1
1: .~
10
'" Is
11
"'
1II
14 13
I~
·M
• i•
, t
&
• ,. .
TABU '.-LOGAIUTB.IC BINES, COSINES, SIDe.
:=
9.466935
.4Irl173 .4Irl585 .467996 .468407 .468817 .469227 .469637
.470046
21 22 23 U 25 26 27 28 29 30
9.470456 .470863 471271 4711rl9 .472(»j6 .472492 .472898 .473304 • 473710 • 474115 9.474519 .474923 .476327 .476730 .476133 .476536 .476938 .477340 .4m41
.478142
31.9.= 32 33 .479741 .480140 36 .480639 .480937 .481334 39 .481731 40 .482128
:479342
~
~
9.:
:483316 .483712 484l
or
• .48450
.: ~
48e076 9. 486467 .48Cl86O
.487251
.487643
:=:
.488814 .489204 .489693 9.489982
CosIne
D.l".
6.88 6.88 6.87 6.87 6.86 6.86 6.83 6.83 6.83 6.82 6.82 6.80 6.80 6.80 6. 78 6.77 6.77 6.77 6. 77 6. 75 6.73 6.73 6.73 6.72 6.72 6.72 6. 70 6. 70 6.68 668
6.1rl 6.1rl 6.1rl
6.65 6.65 6.65 6.63 . 662 6.62 6.62 6.62 6.60 6. 58 6.60 6.58 6. 57 6. 67 6. 57 666
~~ 6.66
. 9. 98Oi96 980658 980619 .980480
.!I8OM2
• 980403 .980364 .980325 .98W86
:=
9. 980169 980130 : 9@0091
.980052
.98OOl2 .9791173 .979934 • 979896 .979855
.979816 9. 979776
979737 : 979697
D.l".
Tang. 9.485339
• 63 .65 .65 .63 .65 . 65 .65 .65 .65
~791 486242
486693 4II7l43 487693 • 488043 .488492 .488941 .489390
7.53
10:~~=
7.52 7.62 7.50 7.50 7.50 7. 48 7.48 7.48 7.47
.513758 .513307 .612857 .512407 .511957 .511508 .511059 .510610 .510162
D_._ 1". _ Cot.&n1:. _ __
:~ 9::: ~::
.65 • 65 .65 .Irl .65 .65 .65 • Irl .65 .Irl .65 .Irl • 65
.490733 • 4111180 .4111627 • 492073 .49'J!i19 .492965 """0 4....... : 493864 .49a99 9.494743 .496186 '.
""N'
7.45 7. 45 7.43 7. 43 7.43 7. 42 7.40 7. 42 7. 40 7.38 7.40 7.38 7. 37
.Irl .Irl .Irl .65 .Irl .Irl
.497399 .497841 .498282 .498722 9.499163 .4996m • 5OOOC2
7.37 7.35 7. 33 7.36 7.33 7.32 7. 32
~
:: ::r .=~ ~:~ .979679 .W9639
• W9499 .979459
.979420
:=
9.97m80 • 979340 979220
• 67
~~
.Irl : • fIT
:~~~ :~
: 97VlSO .9790599 • 979OJ. 9.W8979 .978939 • 978898 .fn8858 .978817 .97ffT77
.971l137
.9786V6 • W8666 .97t615 9.W8&74 · 978633
6.52 6.53 . 6.52 6.50 6.50 6.50 6.48 6.48
.978329 •.W8288 978247 9.W8206
D.l".
Sine.
.9784t3
9784l~
.978462 •
.97837
.67 • 67 .Irl .68 .Irl •.68 fIT • fIT .68 .68 .Irl .68 .68 .Irl .68 .68 .68 .68 .68 •.68 68
D.l".
107·
144
:= • 501359 .501797
:: .503109
~ .OW~
9.
.504.fl: • 50486 .605289 605724 : 506169 .5()65g3
.507027 .507460 9.507893 .508326 .6QI769 .609l91 .609622 .610064 .61lM86 .610916 9..611346 611776
Cotang.
U~
7.32
~:~
7.30
7.28
~3
10:= • .....,.,. : 507927 . 507481 .507035 506590 :606146 .606701 10..5062.57 504814 : 504370
:: .500927 • 503485
• 502159 .501718 .501278 10.1iOO837 .50m97 . • ....,
~19
:=
60 59 58 67 66 66 64
63
62 61 50 411 48 47 46 45 44 43 42 41 40 39 38
~ 35 34
~
33 3 30 ;:
27 116 2&
U 23
MIIl3 : 49'7765
~
::
210
0.4964M 1 • "'"'" """"18 .495682
19 7.27 7.27 18 17 7.27 7. 25 • ...... 6 16 16 7.25 7.2& • ...,.,. 14 7.23 .493407 13 7.23 • 492973 12 7.23 .492&40 11 7.22 10. 49'J1.07 10 9 7.22 .4911rl4 7.22 .49l241 6 7.26 • Ml809 6 7. 18 .490078 4 7.20 a 7.18 .48116 2 7.18 •• 1 7.17 ...,.,., 0 7.17, .1::0..:..481122 __ 4+-_1.
'~l4611 '.~1
~
.~
~
D.l".
TanI.
'rAN8BNTS, A.ND COTA.N8ENTS.
lS 0
181"
,
Blne.
D.I" .
Cosine.
D. I".
--- 0--9. 489!182 - ---- 9. 978206 1 2 3 4 6 6 7 8 9 10
.411ro71 .490759 . 491147 .491635 • 491!rl2 .492308 . 4112695 . 4113081 . 4113466 . 41r1851
11
9.494236 . 494621 .495005 . 496388
12 13 14 15 16 17 18 19 20 21 22
• 495n2
.496154 . 496637 . 4116919 .497301 . 497682 9.4Q8064 .498444
. 498825
23
.499204 .4W584 .499963
24 26 26 27 28
•.500342
. 500721 . 501099 . 601476
29 30 31 32 33 34
9.601864 .602231
.WJfPl .502984 .603360 .503735
&~
36
37
. 604110
.604485 .604,860
38
311
.5a;234
40 41 42 43 44 46
9.1i06608 . 5a;981
. 606364 . 506727 .607099 .607471 .607843
46 47 48 49 60 51 52
.608214 .508585 .608956
59 60
9.609326 . 609696 . 510065 . 510434 .510803 .511172 .511540 . 511907 .612275 9.512642
I ,-
CosIne.
63 54 65
116 57
58
6.48 6. 47 6. 47 6. 47 6.46 6.43 6. 46 6.43 6.42 6.42 6.42 6.42 6. 40 6.38 6.40 6. 37 6.38 6. 37 6. 37 6. 35 6.35 6.33 6.35 6.32 6.33 6.32 6.32 6.32 6.30 6.28 6.30 6.28 6.27 6.28 6.27 6.26 6.25 6.26 6.25 6.23 623 6.22 6.22 6.22 6.20 6.20 620 6.18 6.18 6.18 6.17 6.17 6.16 6.15 6.U; 6.15 6.13 6.12 6. 13 6. 12
D. I".
• 9781ffi .978124 .978083 . 978042
.lI78OOl .977959 .977918 .977ffl7 .977&5
.97'7194 9.9777& .9mU .977669 .977628 977586 .977644 . 977SOO . 977461 .977419
.977377 9. 977335 . 977293 .977251 . 977209 .977167 .977126 .977ala .977041 .976999 .976957 9.976014 .976872 .976830 .976787 . 976745 .976702 . 976660 . 976617 • 97ffi74 .97ffi32 9. 976489 . 976446 . 97G404 . !I1G361 . 976:U8 . 971ll76 . 976232 . 976189 . 976146 . 976103 9. 976060 . 970017 . 97.,974 . 975930
. 07581!1 . 9758H . 975*XJ . 975757 . 97 14
-.68 . 68 . 68 . 68 . 68 . 70
.68 .68 .70
.68 .70
.68 .70
.68 .70 .70
. 68
.70 . 70 . 70 .70 . 70 .70 .70 . 70 .70
. 7ry
.70 .70 .70
.72
9. ~1l7 76
.5l2206 512036 .513064 . 5 13-493 . 5 131121 .5101349 .614m .5 16204 .5 1 . 5100.57 9. 516484 . lllOOl0 . 517336 . 517761 . 1iI 186 . 51 10 . 51 4 . 519458 . 51 9882 . S'.!OO05 9. 520728 . 521161 .521573 .521995 .522417
.522838
.523259 .523680
.524100
.!iJ4!iJO
.70 .70 .72 .70 .72 . 70 . 70
.527868 • fi2828li
.72 .72
.72 .72 . 70
.72 .72 .72 .72 .72 .72
.72 .72 .72
.62!1702 9.5291.19
.62Il535
:~
. 530781 . 631196 631 G11
. 63:.'025
::
0. 633266 .6331>7 9
.72 . 73
.634092 .5.'l4504
.72 .73
. 635328
. 72 . 72 . 72
D.l"
D. l ".
- - - ---
9.624940 . 5 r. 9 . 525778 .526197 .526015 . 527t113 . 527451
9. 9760701~ Bine.
Tang.
. 634916 .6351311 .536J6O 1 11.630'.172
CoIaDg.
7. 17 7.15 7.16 716 7.13 7. 13 7 13 7. 12 7.12 7.10 7.12 7.10 7. 08 7. 10 708 7. 07 7. 07 7.07 7.07 7. 05 7. 05 7. 05 7. 03 . 7.03 703 7. 02 7.02 7. 02 7.00 7.00 7. 00 6. 98 6.98 6.98 6.97 6.97 6.97 6.115 6.115 6.115 6.115 6.93 6.113 6.92 6.92 692 6.92 690 6.90 6.00 6.88 6.88 6.88 6.87 6.87 6.87 6. 85 6.85 6.85 6.85
ID. I".
Cot.anl(.
, I-
10. -t88224 . 487794
. 487366
.4861136
60 59
68
57
.486607 .:9 • 1
56
.486223
64 63
.484796 .484369
52 51
.483943
60
10. 483516
49 48 47
.483000
.482665 .482239 .481814 . 481300
. 480966 · 480642
.480118
.479695 10479272 . 478849 .478427 . 476005 .477583 .477162 .476741 .476320 .475900 .476480 10.47S060 .474641 .474222 .473803 .413385
.472967
65
46 46 44 43
42 41 40 39 38 37 36 35 34 33 32 31 30
29 28 27 ~
26 24
. 472549 .472132 • 47 1715 . 471298
23 22
10.470881 .4704ffi .47 9 . 400!i34 .4ilOCl19 .468804 9 . 467975 .467561 .467147 10. 466734
.463439 10. 4631128
19 18 17 16 16 14 13 12 U 10 9 8 7 6 5 4 3 2 1 0
Tang.
,
.466.~
• fffi 496 • fffi084 . 464~72
.404261
.463i50
21
20
71°
lOS' 414~1()...-10
146
TABLE 9.-LOGABITllllre SIK.S, CeSINES, Sine.
o
9.•512642 .513009 .513375 .513741 .5141.07 .514472 .514837 . 5152al .515566 .515930 .516294
1 2 3
..
5 6 7 8 9 10
D.l". 6.12 6.10 6.10 6.10 6.08 6.08 6.08 6.07 6.07 6.07 6.05
CosIne. 9.975670 .975627 .975583 .975539 .975496 .975452 .975408 .975365 .975321 .975277 .. 97523&
g 9: ~:~ 6. 05 9: ~g:: :~ j:~ i~ .975013 :~~~ 15 .518107 6. 02
:g::
16
.518468
:~
19 20 21 22 23 24 25 26 27
.519651 .519911 9.52027l .520631 .520900 . 521349 • 521707 .522066 . ~424
30
• 5234115
31
':~~
:u 33
~ ~i
~
:g231~
32 35 36
6.02 6.02
~.~
6:00 6. 00 5.98 5 98 . 97 ~: 98 5. 97 5.95 5.95
~: ~
.974969
:~~g
.974836 .974792 9.974748 .974703 .974659 . 974614 . 974570 . 974525 .974481
:~~r
• 974347
593 5: 93
9.974302
5.92 5.93 5.92 5 00
. 974167 .974122 .974077
: ~:t~
~
9:~~~
44
.528458
gJ~
47
• 529513
U~
43
~
.
73
.538202 .538611
.539020
.539429 .539837 .540045 .540653 .541061
~ ~::~
9:g~=
6.78
:~i .5:~~42281 i~ : 73 6 75 .73 .75
.~~
6. 77
.5434
.~~
6.75
:644m I~'~ . 545119
:73 .75 9.545524 .73 .545928 7 5 . 546331 . . 5467~ : ~2 547138 . 73 . 547540 .75 .547943 75 :g~~ : ~~ . 54914g
.
.
75 :75
1
.16:75 6 73 6' 72 6' 73
6. 72
6. 70 6 72 70 6.70
6.
U~
9.549650 .549951 550352 :7 75 5 ..550752 .75 .551153 .75 .551552
6.68 6. 68 6. 68 67 6 55 6' 67
.U·
6.55
.75 . 77
6.63 6. 63
:~~75 :~~~i ~~ 'llii~g 6.55
.77 : ~~
• 55593a
~:
• 973444
.77 : ~~
:: . 557121
6.60 ~: ::
9:= .973307
.77 :~
J= ai :=: ~: ~
.77 : Vs
• 530665 . 9:: • 531614
~
.72
.73 .73 .72 .73 .73 .73 .73
6.83 6.83 6.83 6.82 6.82 6.82 6:80 6.80 6.80 6.80 6.78
.53'1382
.973580
:~~~?
:=t
.~56
.537792
:~~
60 53
9.536972
.73 .73
.973716
:
~~
.72
D.l".
9:= • 554344 .554741
. 528105
:~~
5.88 5. 87
Tang.
:= .
~40 .:ii:I~t;~~: 5.88 f~ :~= &00
D.l".
5.85
;5.85
~::
5.83
H~
5.&
.532661
. 973761
:~ :~~
:~n
.973169
5.!I0
59
60
• 533704 9.534052
-'-I
CosIne.
. 913032 9. 972986
D. I".
.77 :~
~ D.l".
109°
:~~
9:~~g .558308
:WooW
.559491 :gs~
. 560673 9.561066
1Cotang.
U~
6.62
6.00 :::
180'
Cotang. 10.463028
60
.462618 .462208 .461798 .461389 .400980 .460571 .460163 .459755 .459347
59 58 57 56 55 54 53 52 51 50 49 48 47
.458939 10.458532 .458125 .457719 .457312 .456906 .456501 .456095
.455690 .455285
.454881 10.454476 .454072 .453669 .453255 .452862 .452460 .452057 .451655 .451253
.450851
10.450450 .450049 .449648 .449248 .448847
.448448 .448048 .447649 .447250 .446851 10.446462 .446054
.445656 .445259 .444861 .444464 .444067 .443671 .443275 .442879 10.442483
.442087 .441692 .441297
6.57
U~
.440903 .440509
&.67
.439721
~: ~
D.l".
.440115 .439327 10.438934
46 45 44 43 42 41 40
39 311 37 36
35 34 33 32 31
30 29 28 lI7 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5
..
3 2 1
o
Tang.
70'
146
159°
,
Sine. D.I". - - - - -- - 9.534052 0 5.78 .534399 1 5.77 .534745 2 5.78 .536092 3 5.77 4 .535438 5.75 .535783 5 5.77 .536129 6 5.75 .536474 7 5.73 .536818 8 5.75 .537163 9 5.73 10 .537507 5.73 9.537851 11 5.72 .538194 12 5.73 .538538 13 5.70 .538880 14 5.72 .539223 15 5.70 .539565 16 5.70 .539907 17 5.68 .540249 18 5.68 .540590 19 5.68 .540931 20 5.68 9.541272 21 5.68 .541613 22 5.67 .541953 23 5.67 .542293 24 5.65 .542632 25 5.65 .542971 26 5.65 .543310 27 5.65 .543649 28 5.63 .543987 29 5.63 .544325 30 5.63 9.544663 31 5.62 .545000 32 5.63 .545338 33 5.60 .545674 34 5.62 .546011 35 5.60 .546347 36 5.60 37 .546683 5.60 .547019 38 5.58 39 .547354 5.58 .547689 40 5.58 9.548024 41 5.58 .548359 42 5.57 .548603 43 5.57 .549027 44 5.55 .549360 45 5.55 .549693 46 5.55 47 .550026 5.55 .550359 48 5.55 49 .550092 5.53 50 .551024 5.53 51 9.551356 5.52 52 .551687 5.52 .552018 53 5.52 54 .552349 5.52 .552680 55 5.50 .553010 56 5.52 .553341 57 5.48 .553670 58 5.50 59 .554000 5.48 9.554329 60 -- --- ---
,
110
Cosine.
D 1".
Cosine.
D.l".
9.972986 .972940 .972894
.77 .77 .77 .77 .78 .77 .77 .77 .78 .77 .77 .78 .77 .78 .78 .77 .78 .78 .77 .78 .78 .78 .78 .78 .78 .78 .78 .78 .78 .78
Tang.
------ --- .972848 .972802 .972755 .972709
9.561066 .561459 .561851 .562244 .562636
.563028
D.I". 6.55 6.53 6.55 6.53 6.53 6.52 6.63 6.52 6.52 6.50 6.50 6.50 6.50 6.48 '6.50 6. 47 6.48 6.48 6. 47 6.45 6.47 6.45 6.45 6.45 6.45 6.43 6.43 6.43 6.42 6.43 6.42 6.40 6.42 6.40 6.40 6.40 6.311 6.38 6.38 6.38 6.38 6.37 6. 37 6.35 6.37 6.35 6.35 6.35 6.33 8.33 6.33 6.33 6.32 6.32 6.32 8.32 6.32 6.30 6.30 6.28
.563419 .663811 .972617 .564202 .564593 .972570 .972524 .564983 9.565373 9.972478 .972131 .565763 .972385 .566153 .972338 .566542 .972291 .566932 .972245 .567320 .972198 .567709 .972151 .568098 .972(05 .566486 .972058 .568873 9.569261 9.972011 .569648 .971964 .570035 .971917 .570422 .971870 .570809 .971823 .571195 .971776 .971729 .571581 .571967 .971682 .572352 .971635 .572738 .971588 .80 9.573123 9.971540 .78 .573507 .971493 .78 .573892 .971446 .80 .971398 .574276 .78 .971351 .574660 .80 .971303 .575044 .78 .971256 .575427 .80 .971208 .575810 .78 .971161 .576193 .80 • 971113 .576576 78 9.971066 9.576959 • 1 .80 .971018 .577341 .80 .970970 .577723 .80 .578104 .970922 .80 .578486 .970874 .78 .578867 .970827 .80 .970779 .579248 .80 .970731 .579629 .80 .970083 .580009 .970035 .580389 .80 .82 I 9.970586 .80 9.580769 .970538 .581149 .80 .970490 .581528 .80 .581907 .970442 .80 .582286 .970394 .82 .970345 .582665 .80 .970297 .583044 .80 .970249 .583422 .82 .583800 .970200 .80 9.584177 9.970152 ------ --- ---
.972663
Sine.
D.I".
Cotang.
D.I".
Cotang. 10.438934 .438541 .438149 .437756 .437364 .436972 .436581 .436189 .435798
.435407 .435017 10.434627 .434237 .433847 .433458
.433068 .432680 .432291 .431902 .431514 .431127 10.430739 .430352
, 60 59 58 57 56 05 54 53 52 51 50 49 48 47 46 45 44 43
42
.428419
41 40 39 38 37 36 35 34 33
.428033
32
.427648 .427262 10.426877 .426493 .428108 .425724 .425340 .424956 .424573 .424190 .423424 10.423041 .422659 .422277 .421896 .421514 .421133 .420752 .420371 .419991 .419611 10.419231 .418851 .418472 .418093 .417714 .417335 .416956 .416578 .416200 10.415823
31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0
Tang.
,
.429965 .429578 .429191
.428805
.423807
I
69 0
0
147
TA.BLE t.-LOGA.RlTHMIC SINES, COSINES,
21· Sine.
D.I".
-- --- --0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
29 30 31
9.554329 .554658 .554987 .555315 • .555643 .555971
.556299 .556626 .556953 .557280 .557606
9.561178 .561501 .561824 .562146 .562468 .562790 .563112 .563433 .563755 .564075
32 33
34 35
36 37 38 39 40 41 42 43 44 4.5 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 .-- - - -
Cosine.
.....
5.48 5.48 5.47 5.47 5.47 5.47 5.4.5 54.5 5.4.5 5.43 5.43 5.43 5.42 5.43 5.42 5.40 5.42 5.40 5.40 5.40 5.38 5.38 h.38 5.37 5.37 5.37 5.37 5.35 5.37 5.33 5.35 5.33 5.33 5.33 5.33 5.32 5.32 5.30 5.32 5.30 5.30 5.28 5.30 5.28 5.28 5.27 5.27 5.27 5.27 5.25 5.27 5.25 5.23 5.25 5.23 5.23 5.22 5.23 5.22 5.20
Cosine. 9.970152 .970103 .970055 .970006 .969957
.969909
.969860 .969811 .969762 .969714
.969665 9.969616 .969567 .969518 .969469
.969420 .969370 .969321 .969272 .969223 .969173 9.969124 .969075
n.1"·1 .82
.80 .82 .82
.80 .82 .82 .82 .80 .82 .82 .82 .82 .82 .82
.83 .82 .82 .82
.83 .82 .82
.969025
.83
.968976 .968926 .968877
.82
.83
.96fm7 .968728 .968678 9.968628 .968578 .968528 .968479
.82
.968827
.968421' .968379
.968329 .968278
.968228 .968178 9.968128 .968078 .968027 .967977 .9671127 .967876 .967826 .967775 .967725 .967674 9.967624 .967573 .967522 .967471 .967421 .967370 .967319 .9!i7268 .967217 9.967166
.82
.83 .83 .83 .83 .83 .83 .82
.83 .83 .83 .85
.83 .83 .83 .83 .85
.83 .83 .85
.83 .85
.83 .85
.83 .85 .85 .85
.83 .85 .85 .85 .85
.85
Tang. 9.584l77
.584555 .584932 .585309 .585686
.586062 .586439 .586815 .587190 .587566 .587941 9.588316 .588691
.589066 .589440 .589814 .590188 .590562 .590935 .591308 .591681 9.592054 .592426 .592799 .593171 .593542 .593914 .594285 .594656 .595027 .595398 9.596768 .596138 .596508 .-596878 .597247 .597616 .597985 .598354 .598722 .599091 9.599459 .599827 .600194 .600562 .600929 .601296 .601663 .602029 .602395 .602761 9.603127 .603493
.603858 .604223 .604588 .604953 .605317 .605682 .606046 9.606410
--- ------ --D.I".
Sine.
D.I".
111°
Cotang.
D.I".
158"
Cotang.
10. 415823 6.30 .415445 6.28 .415068 6.28 .414691 6.28 .414314 6.27 .413938 6.28 .413561 6.27 .413185 6.25 .412810 6.27 .412434 6.25 .412059 6.25 10. 411684 6.25 .411309 6.25 .410934 6.23 .410560 6.23 .410186 6.23 .409812 6.23 .4OIl438 6.22 .40906,'i 6.22 .408692 6.22 .408319 6.22 10.407946 6.20 .407574 6.22 .407201 6.20 .406829 6.18 .406458 6.20 .406086 6.18 .405715 6.18 .405344 6.18 .404973 6.18 .404602 6.17 10. 404232 6.17 .403862 6.17 .403492 6.17 .403122 6.15 .402753 6.15 .402384 6.15 .402015 6.15 .401646 6.13 .401278 6.15 .400909 6.13 10. 400541 6.13 .400173 6.12 .399806 6.13 .399438 6. 12 .31l9071 6.12 .398704 6. 12 .398337 6.10 .397971 6.10 .397605 6.10 .397239 6.10 10. 396873 6.10 .396507 6.08 .396142 6.08 .395777 6.08 .396412 6.08 .395047 6.07 .394683 6.08 .394318 6.07 .393954 6. f11 10.393590 - - - --- -
D.I".
Tang.
~II 59
~I 56 55 54
53 52 51
50 49 48 47 46
45 44 43 42 41 40 30 38 37 36 35 34 33
32 31 30
29 28 27 26 25 2423 22 21 20 19 18 17 16 15
14 13 12 11 10
9 8
7 6 5 4
3 2 1 0
--'I 68'
148
TANGENTS, AND OOT!JIIGRN'fS.
,
Sine.
D.I".
CosIne.
D.l".
Tang.
-- --- --- --- --- 0- -9.573575 9.967166 9.606410 1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20 21 22
23 2425 26 27 28
29
30 31
32 33 34 35
36 37 38
39 40 41 42 43 44 45
46
47
48 49 50 51 52 53 54
.573888 .574200 .574512 .574824 .575136 .575447 .575758 .576069 .576379 .576689 9.576999 .577309 .577618 .577927 .578236 .578545 .578853 .579162 .579470 .579777 9.5800!5 .580392 .580699 .581005 .581312 .581618 .581924 .5!12229
.582535 .582840 9.583145 .583449 .583754 .584058 .584361
:=,
.585272 .585574 .585877 9.586179 .586482 .586783 .5'if11& .5'if1386 .587688 .5'if1989 .588289 .588590
.588890
57 58 59 60
9.589190 .589489 .589789 .59OOlS .590387 .590686 .590984 .591282 .591580 9.591878
,
Caslne.
55
56
5.22 5.20 5.20 5.20 5.20 5.18 5.18 5.18 5.17 5.17 6.17 6.17 6.15 6.15 5.15 5.15 5.13 5.15 5.13 5.12 5.13 5.12 5.12 5.10 5.12 5.10 5.10 5.08 5.10 5.08 5.08 5.07 5.08 5.07 5.05 5.07 5.05 5.07 5.03 5.05 5.03 5.05 5.02 5.03 5.02 5.03 5.02 5.00 5.02 5.00 5.00 4.98 5.00 4.118 4.98
4.98 4.97 4.97 4.97 4.97
I--D.I".
.967115 .967064 .967013 .966961 .966910 .966859
.966808 .966756 .966705
.966653 9.960002
.966560 • 966499 .966447
.966395 .966344
.966292 .966240 .966188 .00II136 9.966085
.966033 .965981 .965929 .965'if16 .965824 .965772 .965720
.965668 .965615 9.965563 .965511 .965458 .965406 .905353 .965301 .965248 .965195 .965143
.965090 9.965037 .964984 .964931 .964879 .964826 .964773 .964720 .964666 .964613
.964560 9.964507 .964454 .964400 .964347
.964294
.964240 .964187 .964133 .964~
9.004026
Sine.
.85 .85 .85 .'if1 .85 .85 .85 .87 .85 .87 .85 .87 .85 .87 .87 .85 .87 .87 .87 .87 .85 .87 .87 .87 .88 .87 .87 .87 .87 .88 .'if1 .87 .88 .87 .88 .87 .88 .88 .87 .88 .88 .88 .88 .87
.88
.88 .88 .90 .88 .88 .88 .88 .90 .88 .88 .90 .88 .90 .88 .90
D.l".j
lIt·
.606773 .007137 .000MlO .007863 .6!m25 .608588 .tnI95O .609312 .609674 .610036 9.610397 .610759 .611120 .611480 .611841 .612201 .612561 .612921 .613281 .613641 9.614000 .614359 .614718 .615077 .615435 .615793 .616151 .616509 .616867 .617224 9.617582 .617939 .618295 .618652 .619008 .619364 .619720 .620076
.620432 .620787 9.621142 .621497 .621852 .622207 .622561 .622915 .623269 .623623 .623976 .624330 9.624683
.625036 .625388 .625741
.626093 .626445 .626797 .627149 .627501 9.627852
Cotang.
D.I". 6.M 6.07 6.05 6.05 6.03 6.05 6.03 6.03 6.03 6.03 6.02 6.03 6.02 6.00 6.02 6.00 6.00 6.00 6.00 6.00 5.98 5.98 5.98 5.98 5.97 5.97 5.97 5.97 5.97 5.95 5.97 5.95 5.93 5.95 5.93 5.93 5.93 5.93 5.93 5.92 5.92 5.92 5.92 5.92 5.90 5.90 5.90 5.90 5.88 5.90 5.88 5.88 5.'if1 5.88 5.'if1 5.'if1 5.'if1 5.'if1 5.87 5.85
UI7·
,
Cotang. 10393590 .393227 .3928ffi .392WO .392137 .391775 .391412 .391050
60 59 58 57 56 55
.389964
54 53 52 51 50
10.389603 .389241
49 48
.390688 .390326
.388880 .
~
.388520 46 .388159 45 .3'if1799 44 .3'if1439 43 .3'if1079 42 .386719 41 .386359 40 10.386000 39 .385641 38 .385282 37 .384923 36 .384565 ' 35 .384207 34 .383849 . 33 .383491, 32 .383133 31 .382776 30 10.382418 29 .382001 28 .381705 27 .381348 '26
.380992
25
.380636 .380280 .379924 .379568 .379213 ' 10.378858 .378503 .378148 .377793 .377439 .3771& .376731 .376377 .376024 .375670 10.375317 .374964 .374612 .374259 .373907 .373555 .373203 .372851 .372499 10.372148
24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0
D.I". -Tang.
1-'8'7'
}49
TABLE • •-LOGAIU'I'BMIC BIND• "£0""'1 .... NES D. I".
21 22 23 24 25 26 27 28
29
30 31 32 33 34 35 36 37 38 39 40
41
42
4S 44 45 46 47 48
49
60 01 02
03
64 66
06 07 58 09 00
9.600990 .601280 .601670 .601860 .600160 .602439 .602728 .603017 • tiOO306 .00l594 9.600882 .604170 .604467 .604746 .605032 .605319 .605606 .605892 .606179 .606466 9. 606761 .607036 .007322 .607607 .007892 .008177 .608461 .008745
.609029
9.609313 Cesine.
D
4.97 4.95 4.95 4.95 4.93 4.93 4.93 4.93 4.93 4.92 4.912 4.912 4.92 4.90 4.90 4.90 4.90 4.88 4.90 4.88 4.87 4.88 4. 87 4.87 4.87 4.87 4.85 4.85 4.85 4.85 4.83 4.83 4.83 4.83 4.83 4.82 4.82 4.82 4.80 4.82 4.80 4.80 4. 78 4.80 4. 78 4. 78 4. 78 4.77 4. 78 4.77 4.77 4. 75 4. 77 4. 75 4. 75 4. 76 4. 73 4.73 4.73 4.73 I" ••
Cosine.
9.9G4026 • 963972 .963919 .863865 • gjj3811 .963767 • 963704 • 963660 .963696 • 963542
.963488
9. 963434 .963379 .963325 • 963271 .963217 .963163 .963108 • 963064 • 962999 • 962945 9. 962890
.962836 .962781 .962727 .962672 .962617
.962562 • 962508 • 962453 .962398 9. 962343 .962288
.982233 .ll62178 .963123 .1l62067 • 962012 .961957 .961902 • 961846 9.961791 · 961735 .961680 .961624 .961669 • 961613 • 961458 . 9614O'J .961346 .961290 9.961235 • 961179 .961123 .961007 • 961011 960955 · 960899 .960843 .960786 9.960730
_
8
I
iDe.
•
Tang. • 90 .88 .90 • 90 .90 • 88 • 90 .90 • 90 .90 • 90 .92 .90 . 90 .90 .90 .92 • 90 • 92 . 90 • 92 .90 .92 .90 .92 .92 .92 • 90 • 92 .92 • 92 .92 .92
.92 .92 .93 • 92 .92 .92 • 93 .92 • 93 .92 .93 .92 • 93 • 92 .93 .93 .93 .92 • 93 .93 .93 • 93 • 93 • 93 .93 . 95 .93 --
D.I".
9..628203 627852 .628564 : 628905
m9256
. Il29606 • 629966 .630306 • 630656 .631006 • 631356 9.631704 .632(Xi3
• 632402 .632760
.633099
.633447 . 633795 • 634143 • 634490 • 634838 9.635185
.635532 .635879 .636226 .636572 .636919 . 637266 . 637611 .637956 • 638302 9. 638647
.638992 .639337 • f.30082 • 640027 • 640371 .640716 .641000 • 641404 .00747 9. 642091 .642434 .642777 .643120 . 643463 . 643806 .644148 • 644490 . 644832 .645174 9. 640016 .640857 .646199 . 646540 • 646881 . 647222 .647562 .647903 . 648243 9.648583
~ tang
00 10. 372148 69 .371797 58 6. 85 .371446 67 li6 6.83 .371095 6. 85 .370745 65 6. 83 • 370394 64 6.83 .370044 03 6. 83 • 369694 62 6.82 .369344 01 50 5. 83 • 368995 5. 82 .368645 49 6.82 10. 368296 48 6. 82 • 367947 47 6.80 .367598 46 6.82 .367250 45 6.80 .366901 44 43 5. 80 • 366653 6. 80 • 3662057 42 6. 78 • 36586 41 5. 80 • 366510 40 6.78 .366162 39 O. 78 10. 364816 38 6. 78 .304468 37 6. 78 .304121 36 35 5. 77 .363774 5. 78 .363428 34 6. 77 • 363081 33 O. 77 • 362735 32 0.76 .362389 31 O. 77 .362044 30 O. 70 .361698 29 6.75 10. 361353 28 O. 76 .361008 O. 70 .360663 6.70 .36W18 25 6. 73 • 359973 24 23 6.76 .359639 6.73 .359284 22 O. 73 • 358940 21 20 6.72 .358596 O. 73 • 358263 6.72 10. 357909 19 0.72 .357566 18 0.72 .357223 17 6. 72 • 356880 16 6. 72 • 356537 . 16 6.70 .356194 14 0.70 .355852' 13 6. 70 .35551U 1-2 6.70 • 3551C,s 11 O. 70 • 354826 , 10 0.68 10. 354484 9 6.70 .354143 8 6.. 68 • 35.'1801 7 6. 68 • 353400 6 5. 68 • 353119 6 5.67 .352778 4 5.68 .352438' 3 6. 67 .352097 . 2 5.67 .351757 1 0 10. 351417 1"_ _ _ _ 1_.
6.85
li.s5
~
D. I".
eo158
'l'.!IIOBN'1'8 AN. OOTA.NGEN1'I.
M" Sine.
D.l".
- - --- 0- -Q. 609313 1 2 3 4 /;
8 7 8 \I 10
.6011597 .009880 .610164 .610447 .610729 .611012 .611294 .611576 .611858 .612140
11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
27
28
29
30 31
32
33
34 311
36
37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 62
9.618004 .618281 .618558 .618834 .619110 .619386 .619662 .619938 .620213
.1l20488 9.620763 .621038 .621313 .621587 .621861 .622135 .622409 .622682 .622956 .623229
53 54 55 66 67 68 69 60
4.73 4. 72 4. 73 4. 72 4. 70 4.72 4.70 4. 70 4.70 4.70 4.68
4.68 4.68 4.68 4.68 4.67 4.67 4.67 4. 67 4.66 4.661 4.65 4.65 4.65 4.63 4.63 4.63 4.63 4.63 4.62 4.62 4.62 4.62 4.60 4.60 4.60 4.60 4.60 4.58 4.58 4.58 4.58 4.58 4. 57 4.57 4. 57 4.57 4.55 4.57 4.55 4.55 4.53 4.55 4.53 4.53 4.53 4.53 4. 52 4.52 4.52
CoaIne. 9.1lIlO73O .960674 .900618 .000561
.960505
.960448
.960392 .960335
.1lOO!79
.9m222 .9116165
9.960109 .960052 .959995 .959938 .959882 .959825 .959768 .959711 .959664 .959596 9.959539 .959482 .959425 .959368 .959310 .959253 .959195 .959138 .959080 .959023 9.958966 .958908 .958850 .958792 .958734 .958677 .958619 .958561 .958503 .958445
D.I".
Tang. '
- - ----- -9.648583 .93 .93 .95 93 .95 .93 .95 .93 .95 .95 .93
4.67 6.67 5.66 5.67 5.65 5.66 5.66 5.63 5.65 5.63 5.63
.6489'J3 .649263 .641lOO! .649942
.660281
.650620 .650959 .651297 .651636 .651974
.95 .95 .95 .93 .95 .95 .95
5.63 5.63 5.68 5.62 6.62 6.62 5.62 5.62 5.62 5.60 5.60 5.60 5.60 5.60 5.60 5.58 5.58 5.58 5.58 5.58 5.57
.95 .97
.95 .95 .95 .95 .97 .95 .97 .95 .97 .95 .97
.95 .97 .97 .97 .95 .97 .97 .97 .97 .97 .97 .97 .97
9.655684
.656020
.656356 .656692 .657028 .657364 .657699 .658034
.658369
.658704 9.659039 .659373 .659708 .660042 .660376 .660710 .661043 .661377 .661710 .662043
.98 .97 .97
.98 .97 .97
.98 9.957804 .957746 .957687 .957628 .957570 .957511 .957452 .957393 .957335 9.957276
D.lu.
.97
.98 .98 .97
.98 .98 .98 .97 .98
9.665698 .666029 .666360 .666691 .667021 .667352 .667682 .668013 .668343 ,9.668673
5.~
I
5.5 5.57 5.57 5.55 5.57 5.55 5.S:; 5.55 5.55 5.55 5.55 5.53 5.53 5.53 6.53 5.53 5.52 II.M 5.52 5.52 5.52
5.50 5.52 5.50 5.52
5.50 6.50
- - - --- - - - --- - - - - - cOsine.
D.I".
Sine.
D.I".
Cotang.
D.l".
1115· Cotang. 10.3111417 .3111077 .350737
59
.350058 .349719
56
.lIf9Otl
aa
.3503Il8 .349380 .348700
.U8364 .348026 10.347688 .347350 .347012 .346674 .346337 .340000 .345663 .345326 .344989 .344652 10.344316 .343980 .343644 .343308 .342972 .342636 .342301 .341966 .341631 .341296 10.340961 .340627 .3402il2 .339958 .339624
.339290 .338957
.338623 .338290 .337957
10.334302 .333971 .333640 .333309 .332979 .332648 .332318 .331987 .331657 10. 331327
00
48
57
M
M
li2 iiI 110 49 48
47 46' 45 44 43
42 41 40 39 38 87 86 35 84 33
32
31 30
29 28
27
26
25 24 23 22 21 20 III 18 17 16 15 14 13 12 11 10
9 8 7 6 5 4
3
2 1
.,
Tang. ~
114·
161
}
'!'ABLE '.-L04UBI'l'OIlIC 8IN&'I, COSINES,
,
Blne.
D.l".
CosIne.
4.52 4.52 4.60 4.60 4.50 4.50 4.50 4.411 4.'411 4.411 4.411 4.411 4. 47 4. 47 4. 47 4. 47 4.45 4. 47 4.45 4.45 4.45 4.43 4.43 4.45 4.43 4.42 4.43 4.42 4.42 4.42 4..42 4.42 4.40 4.40 4.40 4.40 4. 40 4.38 4.38 4.38 4.38 4.37 4.38 4.37 4. 37 4.37 4.35 4.37 4.35 4.35 4.35 4.35 4.33 4.33 4.33 4.33 4.33 4.33 4.32 4.32
.967217 .967158 .967099 .967040 .966981 .956921
D.l".
D.!".
CotaDg.
5.411 6.50 6.411 5.50 6.411 .6.411 6.47 5.411 6.411 6. 47 6. 47 6. 47 5.47 5.45 5.47 6.45 6.47 6.45 6.45 6.43 6.45 5.43 6.45 5.43 6.43 5.42 5.43 6.43 5.42 6.42 11.42 5.42 5.42 6.40 6.42 6.40 6.40 5.40 5.40 5.40 5.38 5.40 5.38 5.38 5.38 6.38 5.37 6.38 5.37 5.37 6.37 5.37 6.37 5.35 5.37 6.35 6.35 5.35 6.35 6.35
10.331327
.669002 .669332
- - --- - - - --- - - - 0- 9.625948 9.967276 9.668673 1
2 3 4 5 6 7 8 9 10 11 12 13 14 16 16 17 18 19 20 21
22 23 24 25 26 27
28 29 30 31 32 33
M 35 36 37 38
39 40 41
42 43 44
45
46 47 411 49
.626219 .626490 .626760 .6'Z7030
.6'Z7300 .6'Z7670 .6'Z7840 .628109 .1l28378 .628647 0.628916
. 11291&
.629463
. tl2Q721
. 629!l89 . 630257 .1130524
. 1l307112
. 1l31(l';9 . 631 326 9. 631693 . tlal859 . 632125
.632"m
. 632658 . tl32923
. 633189 . 633<154 . 033719 , 4 9.634249 .634514 .634778
.635042 .635306 .635570 .635834 .636097 .636360 .636623
9: ~ . 63H ll . G.'J7G73 . 637 35 "' . 197 . 6: 458 . 1l.'I1>'7 20 • (l3!!9!U
liO
. m~2 42
61 52
9. 1l39M13 . c:J9764 . 641J024 0084 . 640044 . 64(1;04 . 1141064 . 641324 . 641583 9. 641 42
63
64 65 66 67 68 59 60
.98 .98 .98 .98 .98
.966506
1.00
.669661 .669991 .570320 .570649 .57f1T17 .571306 .6711l36 .871983 9.672291 .672619
.966387
.966447
1.00 1.00
.673602 .673929
.956208 .9561411
1.00 1.00
.956862 .966803 .966744
.966684 9.1I6C625 .956566
.1156327 .1156268 • !I5IiQi9
9.956029 .955969 .955909 .955849 .955789 .955729 .955669 .955609 .955548 .955488 9.955428
.955368 .955307 .955247 .965186 .965126 .965065
.955005
.964944 .964883 9.964823 .964762 .954701 .964640 .954579 .954518 .964457 .964396
.954335 .964274 9. 954113 . 954J 52 . !l.HI)90
. !lM029 . g,;,1968 . 953%6 . 9W.~45
. 953783 . 9,;3122 9. 9ii3ll6O
1.00
.98 .98 .98
1.00
.98 .98 .98 .98
.98
1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
.98
1.00 1.00 1.00 1.02 1.00 1.02 1.00 1.02 1.00 1.02 1.02 1.00 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.03 1.02 1.02 1.03 1.02 1.03 1.02 1.03
.1172847
.673274 .5742:>7 .874584 .674911 .675Zf1 9.675664 .675890 .676217 .676543 .676869 .677194 .677520 .671846 .878171 .678496 9.678821 .679146 .679471 .679796 .680120 .680444 .680768 .681092 . b81416 .681740 9.682063 .682387 .682710
.683033 .683356 .683679 .884001 .884324
.684646 .684968 9.685290 .686612 .685934
.686255 .686577
.686898 .687219 .687640 .687861 9.688182
-,- - - - - - - - - - - - - - - D.I". Cotang. CosIDe. D.l". Sine. 11.·
152
1M·
Tang.
D.l".
.331M18 .330e68 .330339 .33000II .3296110 .3211361 .329023
.3286114 .32&'t65 .32!m'1 10. 32771» .327381 .327063
.336726 .326398
.326071 .326743 .326416 .325089 .324763 10. 324436 .324110 .323783 .323457
::
.322480 .322154 .321829 .321604 10. 321179 .320854 .32(l';29
.320206 .319880 .319556 .319232 .3189(11 .318584 .318260 10.317937 .317613 .317290 .316967 .316644 .316321 .315999 .316676 .315354 .315032 10.314710 .314388 .314066 .313745 .313423 .313102 .312781 .312460 .312139 10. 311818
Tang.
,
eo
69 58 67 66 6Ii 64
63 62 III 50 49 48 47 46 45 44
CI 42 41 40
39 38 37
36 35 34
33 32 31 30 29
28 27 26 25 24 23
22
21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 /I 4 3 2 1 0
,
!
, I
28·
9.951096 .951032 .950968
111 62 53
114 M
56
117
38
69 60
I~~'I
4.13
CcsIne.
.950906 .95lml .950778 .950714 .950650 .950586 .950522 9.9Ii0458 950394 950330 950266 9I5O:m .950138 .950074 .950010 .949945 9.949881
1.05 1.05 1.05 1.05 1. 07 1.05 1.05 1.07 1.05 1.05 1.07 1. 07 1.05 1.07 1.05 1.07 1.07 1.07 1.07 1.07 1.07
t:~ I
1.07 1.07 1.07 : 1. 07 1.08 ' 1.07 1
I D.l".
5.33 5.32 11.33 5.33 11.33 11.33 11.33 5.32 11.33 5.32 5.32 5.32 5.32 11.30 11.32 11.30 11.32 11.30 5.30 11.30 6.28 6.30 11.28 6.30 11.28 5.28 6.28 5.27 6.28 5.27 5.28 5.27 11.27 6.27
10.311818 .311498 .311177 .310857 .310537 .310217 .309897 .309577 .309258 .308938 .308619 10.308300 .307981 .307662 .307344 .307025 .306707 .306388 .306070 .305752 .305434 10.305117 .304799 .304482 .304164 .303847 .303530 .303213 .302897 .302S80 .302264 10.301947
60 69 58 67 66 M
5.25
.301631 .301315 .300999
28 27 26
.300684 .300368 .300053 .299737
24
5.27 5.25 6.27 &.25 6.25 5.25 5.25
11.23 5.25
11.23 6.25 5.23
11.23 5.22 6.23 5.23" 5.22 11.22 6.23 11.22 11.22 5.20 5.22 5.22 11.20
.299422 .299107 10.298792 .298477
.298163 .297848 .297534 .297219 .296905 .296591 .296278
.295964
10.295650 .295337 .295024 .294710 .294397 .294084 .293772 .293459 .293146 10.292834
Tang.
54 53 52
51 50 49
48 47 46 45 44 43 42 41 40 39 38 37 36
35 34 33
32 31
30 29
25 23
22 21 20
Ie
18 17
16 111 14
13 12 11 10 9
8 7 6 5 4
3 2 1
o I~'~
U·
118°
153
TABLE '.-L06AIU'lB1lfC SINH, «:OilNES,
,
-0
I
2 3 4 0 6 7 8 9 10 11 12 13 14
15
16 17 18 19 20 21
22 22
24 25 36 27 28 29 30 31 32
88
34
35 all 37 38 311
.to ~
42 6a 44
45 46 47 48 48
~ID.I'" 9.657947 .657295 .657542 .657790 .658037 .658284 .658531 .658778 .659025 .659271 .650017 9. 659763
:= • (iIim01 . 000746 1
: OUI236
. 001<1111 . 001726 . 001070 9.662214 .662459 .&62703
.662946
.663190 .663433 .663677 .663920 .~63
.664406 9.664648 .664891 .665133 .665375 .665617 .665859 .666100 .666342 .666683 .666824 9.6 7065 .6tl7:105 .6 >7546 .6 7786 .6ti8ft27 .668267
. 611 506 . 668'746 ~
50
: 66Itl25
51 52 63 54 55 5& 57 68
9.6694('>4 .009703 .669942 .670181 • 679419 .6706.';8 .670896 .671134 .671372 9.671609
~9
60
4.13 4.12 4.13 4.12 4.12 4.12 4.12. 4.12 4.10 4.10 '-10 4.10 '-10 '-10 4.08 '-08 4.08 4.08 4.08 4.00 4.07 4.08 4.07 4. OS 4. 07 4. OS 4. 07 j,OS 4. OS 4.05 4.03 4.05 4.03 4.03 4.03 4.03 4.02 4.03 4.02 4.02 4.02 4.00 4.02 4.00 4.02 4.00 3.98 4.00 4.00 3.98 3.98 3.98 3.98 3.98 3.97 3.98 3. 97 3.97 3.97 3. 95
----,- -Cosine. D.I".
_ Cosine. I D. I". 9.949881 .949816 .~
.949688
.94962a .949558 .949494 .949429 .94Y36f
.94Il3OO
.9411235
8.949170 . 9491 OS .949040 .948975 .948910 .948845 .948780 .948715 .948650 .948584 8.9485111
. 9<\801.'>4
.~
. 94 23 . 94 7
112 . 94.126 . g,l!
.946738 .946671 .946604 9. 94W38 . 946471 • 94t>194 . 9
. 9<1136
. 94<1069 . 04Ii002 9. 9~
I
1.08 1.07 1.07 1.08 1.08 1.07 1.08 1.08 1.07 1.08 1.08 1.08 1.08 1.08 1.08 1.08 1.08 1.08 1.08 1.10 1.08 1.08
1.10 1.08 1.10 1.08 1.10 1.10 1.08 1.10 1.10 1.10 1.10 1.10 1.08 1.12 1.10 1.10 1.10 1.10 1.10 1.12 1.10 1.10 1.12 1.10 1.12 1.10 1.12 1.12 1.10 1.12 1. i2 1.12 1.12 1.12 1.12 1.12 1.12 1.12
--- --SIne.
D.I".
11'·
164
Tang. 9. 707166 . 700478 . 707700 . 708102 . 71»1414 · 708726 · 7000:17 .. 7 7 = • . 700071 • 71(),182 8.7106113 .71~
.711215 .71~
D.I". 6.20 0.20 6.20 6.20 6.20 5.18 5.20 5.18 5.18 5.18 6.18 5.18 5.18 5.17 5.18 5.17 5.17 0.17 5.17 5.17 5.17
.711836 . 712lf6 .712456 .712766 .7l3076 .713386 8.713696 6.1~ .714005 5.1~ .714314 5.17 .714624 5.1~ .714983 5.1i .715242 5.1$ .715Ml 5.15 .715860 5.13 .716168 5.15 .716477 5.13 8.716785 5.13 .717093 5.13 .717401 6.13 .7177011 5.13 .718017 5.13 .718325 5.13 .718633 5.12 .718940 5.13 .719248 5.12 .719655 5.12 9.719862 5.12 .720169 5.12 .720476 5.12 .720783 5.10 .721089 5.12 .721396 5.10 .721702 6.12 .72200II 0.10 .722315 5.10 .722621 5.10 9.722927 5.08 .723232 5.10 .723538 5.10 · 723844 5.08 · 7241411 5.08 .724454 5.10 .724760 5.08 .725005 6.08 .725370 5.07 9.725674 --Cotan«. D.I",
CotaD«. 10. 292S34
.292.122
.~g..rJIO
.2911\98 . 291586 . 291274
.290963
la." , 60 59 68 67 56 65 54
.200G51 0
63
.289718
lie 411 411
:29OOl9 10.28NJ7
.288006
.:BI785 .288415 .=164
•
8M
.l!87544
.287234
.286924 .2866l4
10. ~
. 2S5995 . 2856SIJ
.28.';376 . 285067 . 284768 .284149 . 284140 . 28: 2
. 283523
10. 283215
.282907 .282599 .282291 .281983 .281675 .281367 .281000
.2807.52
.280445 10.280138 .279831 .279624 .2711217 .278911 .278604 .278298 .277991 .277685 .277379 10. 277073 .276768 .276462 .27615& .275851
.27S&46
&2 51
D 46 4Ii
44 6a G 41 40 38 38 37 38 a5 34
88 ~
31 30 2t 28 27 36 25 24 lIZ 22 21 20 111 18 17 16
Iii
14 13 12 11 10 8 8 7 6
II 4
a
.276340 .274W5 .274630 10. 274326
2
Tang.
I , I
1
a
'l'.AJlGBHT8, A.Ha Q9TANGENT8.
28.. ,
o1 2
3 4
,Ii 6 7
~
10
11 12 13 14 15
16
17 18 19 20 21 ~
23 24 25
~
27 28 29
ao
31 32 33 34
36
a6 37 38 38 tIO
41
::.. !
45 46 47
I 9.671609 Bwe.
• 671847 • 6~ .• 672321 672568 .6727gs .673032 673268 .673505 .673741 .673977 9. 674213
~
. 674919 . 675155 . 675.190 • 675Gl4 . 675859
. 071lO94
. 671l328 9. 676.\62 . 676796 • 677030 . 677264 . 677498 • tl77731 . 677964 . 67 197 • 7 430 . 678003 9. 678895 • 679128 • 679360 .6711692 • 67gg'.!4 • 680056 .680288 .680519 .6B0750
.680982 9. 681213 . 681443 • 68 1074 . 681905 • t182135 • . 682595 • Cl82l>'25
~
3.92 3.93 3.92 3.90 3.92 3.92 ,3.90 3.90 3.90 3. 90 3.90 3.90 3. 88 3. 88 ' 3. 88 3.88 3. 88 3. 87 3. 88 3. 87 3. 87 3. 87 3. 87 3. 87 3. 85 3. 85 ,3. 87 30.85 3.83 3. 85 3.85 3.83 3. 83 . 3. 83 3.83 3. 83 30.82 3.83
.945OIi8 .944990 .944922 .944864 .944786 .944718
.944660 .944582 9.944514 . 944446 .944377 .944309 • 944241 .944172 .944l04
.944036 .943967 . 9438Il9 9. 943830 • 943761 .1143693 . 943624 • 943555 .943486 .943417 .943348 .943279 .943210 9.9-13141 • 94;1072 .lI-tJO()3
. 1I4!..'il:14 . 1I-12btl4 . 942795
26
26rJ6 7 .11-12517
.\1. "
!l ..~21 ""~ .... "" ~ 3.82 : ?OO8
9 683514 114' IllS .....-, 66 .684430 57 .684658 68 .684887 69 .685115 60 9'.6855 71 43 6853 __ __ , Cosine.
-~
U8·
I D. 1". II
T
ang. 9. 72.>674 .725979 .726284 .726588 .7268112 .727197 .727601 .727805 . 'r.l8l09 .728412
D • 1"•
1.12 .729323 1.13 .729626 L 13 .729929 1. 13 .730233 1. 13 .730535 1. 13 .730838 1.13 .731141 1.13.731444 1.13 .731746 1. 13 9. 732048 1. 15 .732361 1.13 .732603 1. 13 • 732955 1. 15 .733257 1. 13 .733558 1. 13 .733860 1.15 . 734162 1. 13 . 73«63 1.15 • 734764 L 15 8. 735066 1.13 .735367 1. 15 . 735668 1. 15 . 735969 1. 15 .736269 1.15 .736570 1.15 .736870 1. 15 . 737171 1.15.737471 1. 15 .737771 L 15 9. 738071 1.15 .738371 1. 15 .738671 1. 17 . 738971 1. 15 .739271 1. 15 .739570 1. 17 • 739870 1.1S .740169 1.17 .740468 L • , . ." 1.17 9.741066 741365 1.17.
5.05 5.05 5.05 5.07 5.03 5.05 5.05 5.05 5.03 5. 03 5.05 5.03 5. 03 5.03 5.02 5.03 5.03 5. 02 5. 02 5. 03 5.02 5. 02 5. 02 5.00 5.02 5.00 5. 02 5.00 5.00 5. 00 5.00 5.00 5. 00 5.00 4. 98 6. 00 4.98 4.98
-1.12 1.13 1.12 1.12 1.13 1.12 1. 12 1.13 1.13 1. 12
3.82 3. 82 3.80 3.82 3.80 3.80
D--.1".
. 942'1"19
. O.t.!Hl9 . 9420'l9 .9 !9 . !l41o. 041 19 9. 941 19 ,__ Sine.
~
1. 15 1.17 1.17 1.17 1.17 1.17 D-.-l" '.
1151·,
_I ~-
5.08 5.08 5.07 5.07 5.05 5.07 5.07 5. 07 5.05
:~= t= ~=l:l ~~ ~= r.~
• 6S3055 48 . ti83284 49 III SO 1 •
I
D • 1". .11 . Cosine. 3. 97 9. 945935 3. gs .945868 3.115 .945800 3.115 .945733 3. gs .945006 3. gs .9455gs .3.93 .945531 3. 95 .945464 3. 93 . : 3. 93 .945328 ' 3. 93 .945261
<.. 4.98
.741664 .741962 .742261 .742559 .742858 .743156 .743454 9.143752
4.98 4. 98 4.97 4. 98 4. 97 4.98 4.97 4. 97 4.97
CotaDg.
D. 1".
'I
Cotapg. SO----- ~ 59 10.274326 68 .274021 .273716 , 57 56 .273412 55 .273108 54 .272803 53 .272499 52 .272195 .271891 ~I
:=
49
.269465
46 45 44 43 42 41 40
48 47
10. 270980 :.270677 .270374 .270071 .269767 .269162 .268859 .268566 .268254 10. 267952 .267649 • 267347 .267045 .266743 .266442 .266140
39 38 37 36
35 34 33 ~
31 30
.21»838 .265537 • 265236 10. 26493' . 264633 • 264332 .264031 .263731 .263430 .263130 .262829 .262529 . 262229 10.261929 .261629 .261329 .261029 .260729 • 260430 .260130 .259831
29 28 27 26 25 24 23 ~
21 20 19 18 17
111
15 14 13 12 11 10 9 8 7
.""'"
.259233 lo.2f08934 . 20SG35 .:u.8336
.~' . ~57739
·6
5 4 3
.2.17Hl . 257H 2 I 2 .2.3IJ8f4 .2.;6/; 46 10. T 25Wf!I -
ang.
I
J
1
'
Q
'
6'·
'!'ULB •• - LOOARITO.IC 81NE8, . 008INB8,
0 1 2 3 4 5 6 7 8 9 10
41 (2
43
..
44 45 46 47 48 49 50 51 52 63 54 65 56 67 68 59 'eO
9.6855~ .685 .680027 .68625 4
686482
:686709 686936
:687163 687389 :687616 .687843
9694786 . 695007
:695229 695450
.=m :695671
• 4 ':4 :696775
- , "I CosIne.
3.80 3.80 3.78 3.80 3. 78 3. 78 3.78 3. 77 3.78 3. 78 3.77 3.77 3. 77 3. 77 3. 75 3.77 3. 75 3. 75 3. 75 3.75 3. 75 3.75 3.73 3.73 3.73 3.73 3.73 3.73 3.72 3.73 3.72 3.72 3.72 3.72 3.70 3.72 3.70 3.70 3.70 3.70 3.70 3.68 3.70 3.68 3.68 3.68 3.68 3.68 3.67 3.68 3.67 3.67 3.87 3.65 3.67 3.67 3.65 3.65 3.65 3.65
9.941819 .94 1749 .941679 .941609 .941539 941469 : 941398 .941328 .941258 .941187 .941117
.93811~ .93804 .937967 .937895 .937822 .937749 .937676 .937604 9.937531
1.17 1.17 1.17 1.17 1.17 1.18 1.17 1.17 1.18 1.17 1.18 1.18 1.17 1.18 1.18 1.17 1.18 1.18 1.18 1.18 1.18 1.18 1.18 1.18 1.18 1.20 1.18 1.18 1.20 1.18 1.20 1.18 1.20 1.20 1.18 1.20 1.20 1.20 1.18 1.20 1.20 1.20 1.22 1.20 1.20 1.20 1.20 1.22 1.20 1.20 1.22 1.20 1.22 1.22 1.20 1.22 1.22 1.22 1.20 1.22
9.743752 .7 44000 .7 K!48 .74464Ii .7 44943 .745240 .745538 .745835 .7 46132 746429· 746726 9. 747023 .747319 747616 :747913 .748209 .748605 .7488Ol .74!KNl .749393 .749689 9.749985 750281 '7~76 :750872 .751187 .751462 751757 :752052 .762347 .752642 9.752937 .753231 .753526 .753820 .754115 .754409 .754703 .754997 .765291 .755585 9.755878 .756172 .756465 .756759 .757002 .757345 .757638 .757931 .758224 .768517 9.758810 .759102 .769395 .759687 .759979 .7fffr12 .760564 .760856 .761148 9.761439
Sine.
D.l".1
Cotang.
9.941046 .940975 .9409IXi
.940834
.940763 .940693
.940622 .940651
.940480
.940409 9.940338 .1140267 .940196 .940125 .940054
::f .939840 .939768
.939697 9.939625 .939554 .939482 939410 :939339 .939267 .939195 .9391~ .93905 .938980 9.938908 .938836 .938763 .938691 .938619 .9385 47 .938475
938402 938330
938258 9.938185
118"
4.97 4.97 4.95 4.97 4.95 4.97 4.95 4.95 4.95 4.95 4.95 4.93 4.95 4.95 4.93 4.93 4.93 4.93 4.93 4.93 4.93 4.93 4.92 4.93 4.92 4.92 4.92 4.92 4.92 4.92 4.92 4.90 4.92 4.90 4.92 4.90 4.90 4.90 4.90 4.90 4.88 4.90 4.88 4.90 4.88 4.88 4.88 4.88 4.88 4.88 4.88 4.87 4.88 4.87 4.87 4.88 4.87 4.87 4.87 4.85
D.I".
150"
10. 256248 2M!I5O 255652
60 59
.2547 60 .254462 .254165
67 56 M 64 63 52 61
:= .=
:253274 10. 252!iYT7 262ti81 .252384
.252087
.251791 .251495 .251199
.2509m
:=r 10.250015 .249719 .249424 .249128 .248833 .248538 .248243 .247948 .247653 .247358 10.247063 .246769 .246474 .246180 .245885 .245591 .245297 .245003 .244709 .244415 10.244122 .243828 .243635 .243241 .242948 .242655 .242362 .242069 .241776 .241482 10. 241 190 .24a!98 .240605 .240313 .240021 239728 239436 144 238852 10. 238561
:239
58
50 49 48 (7 46 45
44
43 (2
41 40
39 38 :rl 36 35
34
33 32 31
30 29
28 27
26 26 24
23 22 21
20 19 18 17 16 16 l(
13 12 11 10 9 8 7 6 6 4 '3 2 1 0
Tang
eo"
156
80·
9.698970 .699189
.699407· .6Im26
31 32 33 34 35 36 37 38 39
40 41
42
43 44 45 46 47 48 49 50 51 52 53 54 55 56 67 68 59 60
.699844 .700062 .700280 .700498 .700716 .700933 .701151 9.701368 .701585 .701802 .702019 .702230 .70241i2 .702669 .702885 .703101 .703317 9.703533 .703749 .703964 .704179 .704395 .704610 .704825 .705040 .705254 .705469 9.705683 .705898 .706112 .706326 .706539 .706753 .706967 .707180 .707393 .707606 9.707819 .708032 .708241i .708468 .708670 .708882 .709094 .709306 .709518 .709730 9.709941 .710153 .710364 .710575 .710786 .710997 .711208 .711419 .711629 9.711839
3.65 3.63 3.65 3.63 3.63 3.63 3.63 3.63 3.62 3.63 3.62 3.62 3.62 3.62 3.62 3.60 3.62 3.60 3.60 3.60 3.60 3.60 3.68 3.68 3.60 3.68 3.68 3.68 3.57 3.68 3.57 3.68 3.57 3.67 3.M 3.57 3.57 3.M 3.M 3.M 3.65 3.65 3.55 3.55 3.53 3.53 3.53 3.53 3.53 3.53 8.52 8.53 3.52 3.52 3.52 3.52 3.52 3.52 3.50 3.50
9.937531 .937468 .937385 .937312 .937238 .937165 .937092 .937019 .936946 .936872
.936799
1
9.93672Ii .936652 .936578 .936505 .936431 .936357 .936284 .936210 .936136 .930062 9.935988 .935914 .936840 .935766 .935692 .935618 .935543 .935469 .935395 .935320 9.935246 .935171 .935007 .935022 .934948 .934873 .934798 .934723 .934649 .934Ii74 9.934499 .934424 .934349 .934'1:14 .934199 .934123 .934048 .933973
.933898 .933822 9.933747 .9331171
1.22 1.22 1.22 1.23 1.22 1.22 1.22 1.22 1.23 1.22 1.23 1.22 1.23 1.22 1.23 1.23 1.22 1.23 1.23 1.23 1.23 1.23 1.23 1.23 1.23 1.23 1.25 1.23 1.23 1.25 1.23 1.25 1.23 1.25 1.23 1.25 1.25 1.25 1.23 1.25 1.25 1.25 1.25 1.25 1.25 1.'1:1 1.25 1.25 1.25 1.'1:1 1.25
.9331196
.933520 .933445 .933369 .933293 .933217 .933141 9.933066
9.7614.39 .761731 .762023 .762314 .762006 .762897 .763188 .763479 .763770 .764061 .764352 9.764643 .764933 .765224 .765614 .765S05 .766095 .700385 .766675 .766965 .767255 9.767645 .767834 .768124 .768414 .768703 .768992 .769281 .769571 .769860 .770148 9.170437 .770726 .771015 .771303 .771592 .771880 .772168 .172457 .77'l:I4Ii .773033 9.773321 .773608 .773896 .774184 .774471 .774759 .775046 .775333 .775621 .775908 9.776195 .776482 .776768 .m055 .777342
4.87 4.87 4.85 4.87 4.85 4.85 4.85 4.85 4.85 4.85 4.85 4.83 4.85 4.83 4.85 4.83 4.83 4.83 4.83 4.83 4.83
49 48 47 46 4Ii 44 43 42 41 40 39 38
37 36 35 34 33 32 31 80 29 28 '1:1 26 25 24 23 22 21 20
.m628
.777915 .778201 .778488 9.778774
D. I". /19•
120·
157
-.
,
.
TABLE •• -LOOAIU!'SKI(l SIKES, COSINES,
al~
,
Sine.
l).1".
CosIne.
D.I".
.1132990
1.27 1.27 1.27 1.27 1.28 1.27 1.27 1.27 1.28 1.27 1.27 1.28 1.27 1.28 1.28 1.27 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.30 1.28 1.30 1.28 1.30 1.28 1.30 1.30 1.28 1.30 1.30 1.30 1.30 1.30 1.30 1.30 1.30 1.30 1.32 1.30 1.30 1.32 1.30 1.32 1.30 1.32 1.30 1.32 1.32 1.32 1.32 1.32
Tang.
- - --- - - - - - - - - - 0- 9.711839 9.933066 9.77'if174 1 .712050 2 .712200 3, .712469 4 .712679 6 .712889 6 .713098 7 .713308 8 .713517 9 .713726 10 .713935 11 9.714144 12 .714352 13 .714561 14 .714769 15 .714978 16 .715186 17 .715394 18 .715602 19 .715809 20 .716017 21 9.716224 22 .716432 23 .716639 24 .716846 25 .717063 26 .717259 27 .717466 28 .717673 29' .717879 30 .718085 31 9.718291 32 .718497 33 '.718703 34 .718909 35 .719114 .719320 36 37 .719625 38 .719730 39 .719935 40 .720140 41 9.720345 42 .720549 43 .720754 44 .720958 45 .721162 46 .721366 .721570 47 .721774 <18 49 .721978 .722181 60 61 9.722385 62 .722588 sa .722791 64 .722994 .723197 65 .723400 66 57 .723603 68 .723805 59 .724007 9.724210 60 c---, Cosln •.
HI
.
3.62 3.60 3.<18 3.60 3.60 3.<18 3.60 3.<18 3.<18 3.48 3.<18 3.47 3.48 3.47 3.<18 3.47 3.47 3.47 3.45 3.47 3.45 3.47 3.45 3.45 3.45 8.43 3.45 3.45 3.43 3.43 3.43 3.43 3.43 3.43 3.42 3.43 3.42 3.42 3.42 3.42 3.42 3.40 3.42 3.40 3.40 3.40 3.40 3.40 3.40 3.38 3.40 3.38 3.38 3.38 3.38 3.38 3.38 3.37 3.37 3.38
.932914 .932838 .932762
.932685 .932609 .932533 .932457 .932380 .932304 9.932228 .932161 .932075 .931998 .931921 .931845 .931768 .931691 .931614 .931637 9.931460 .931383 .931306 .931229 .931152 .931075 .930998 .930921 .930843 .930766 9.930688 .9306l1 .930633
.930456 .930378 • ga(J3()()
.900223 .1130145 .930067 .929989 9.929911 .929833
.929765 .929677 .929699 .929621 .929442 .939364 .929286 .929207 9.929129
.929050 .928972 .928893
.928815 .928736 .928667 .928578 .928499 9.928420
.779060
.77V346 .77l1632 .779918 .7&W3 .780489
.7Flm5 .781060 .781346 .781631 9.781916 .782201
.782486
.782771 .783066 .78334l .783626 .783910 .784196 .784479 9.784764 .78604S .786332 .785616 .785000 .786184 .786468 .786752 .787036 .787319 9.787603 .787886 .788170 .788453 .788736 .789019 .789302 .789585 .789868 .790151 9.79043' .790716
.790999 .791281 .791563 .791846 .792128 .792410 .792692 .792974 9.793256 .793638 .7113819 .794101 .794383 .794664 .794946 .795227 .796508 9.796739
D.I". 4.77 4.77 4.77 4.77 4.75 4.77 4.77 4.75 4.77 4.75 4.75 4.76 4.75 4.75 4.76 4.75 4.75 4.73 4.75 4.73 4.75 4.73 4.73 4.73 4.73 4.73 4.73 4.73 4. 73 4.72 4.73 4.72 4.73 4.72 4.72 4.72 4.72 4.72 4.72 4.72 4.72 4.70 4.72 4.70 4.70 4.72 4.70 4.70 4.70 4.70 4.70 4.70 4.68 4.70 4.70 4.68 4.70 4.68 4.68 4.68
- - - -D.l". - - - - - --- , - - - --('otang. D.I". Sine. D. 1".
158
1~8°
Cotang. 10.221226 .220940 .220654 .220368 .220082 .219797 .219611 .219225 .2l894O .218654 .218369 10.21W14 .217799 .217514 .217229 .216944 .216659 .21~ .21 .215805 .215521 10.215236 .214962 .214668 .214384 .214100 .213816 .213532 .213248 .212964 .212681 10.2l2397 .212114 .211830 .211647 .211264 .210981 .210698 .210415 .210132 .209849 10.209566
.209284 .200001 .208719 .208437 .208154 .207872 .207500 .207308 .207026 10.206744 .206462 .206181
, 60 59 58 57 56 55 54 53 52 51 60 49 48 47 46 45 44 43 42 U 40 39 38 37 36 35 34 33 32 31 30 29
28 27 26 25
24 23 22 21 20 19 18 17 16 15 14 13 12 11 10
e
.205054 .204773 .204492 10.204211
8 7 6 6 4 8 2 1 0
Tang.
,
.205899 .205617
.206336
,..lKGB.. "'1'8, AND flM'UIJIN'I'8.
11 12 13 14 15 16 7 20 19
Sine. ---9. 724210 · 724412 · 724614 .724816 • 725017 .725219 · 725420 .725622 .725823 · 726024 .726225 9. 726426 726626 : . 727 . .727 .727628
~
~
ID.
1". -3. :f7 3. :f7 3. :f7
Cosine. -9. 928420 • 928342 . 928263 • 928183
3. 36 .1128104 3. :f7 • 928025 3.36 .927946 3. :f7 • 927867 3. 36 .9277fr1 3. 36 .927708 3. 36 . 927629 3. 36 9.927549 3. 33 • 927470 3. 36 927390 3. 33 : 927310 3. 36 • 927231 927 3. 33 . 927 3.33. 3.33 .!1l6991
D .1" •
~-
TBDg. 9.795789 1. 30 . 796070 1. 32 . 796351 1. 33 . 796632 1. 32 . 796913 1.32 .797194 1. 32 • 7'¥T 474 1.32 .797765 1. 33 • 798036 1.32 .798316 1. 32 .798596 1. 33 9 7!18fr17 1.32 : 799157 1. 3:j . 7994:f7 1. 33 799717 1. 32 : 799997 1. 33 • 800277 1.33 .800557 1.33. 800836 1.33 .801116
D.I". 4. 68 4. 68 4. 68 4. 68 4. 68 4. 67 4. 68 4.68 4. 67 4. 67 4. 68 4. 67 4. 67 4. 67 4. 67 4. 67 4. 67 4.65 4.67 4.67
I _ __
10. 204211 .203930 • 203649 . 203368 . 203087 • 2028e6 .21)2526 • 202245 .201004 . 2Il1684 .201404 10. 201123 . 200843 .200563 • 200283 • 200003 • 199723 . 199443 .199164 .198884 .198604
Ml: l. .""'" ." ....., ,." .""'" ... ""..,. : ~~~ i il .1126831 1.33 9.801675 4. 67 '.11~66 9.926751 1.33 • 801~ 4. 65 "''' ~23 9.: t~ ::~m U~ :=3 !.~ :~= : 728825 3. 32 .926511 1. 33 .802792 4. 67 .196928 729024 3. 32 . 926431 1. 33 '80335 4. 65 • 196649 24 803072 25 : 720023 3.32 • :&A 1. 36 4. 65 . 196370 1
~ :5l ~& ::::::: !lIe t::: 1~ }~4
29 30 31 32 33 34 36 36
:rr
38 39 40 41
~
45 46
~
49 50 61
~
64 65 66
.730018 .730017 9. 730415 .730613 .730811 .731009 .731206 .731404 .731602 .731799 731996 : 732193 9.732390
3.32 3.30 3. 30 3. 30 3.30 3. 28 3.30 3. 30 3.28 3. 28 3.28 3.28 3.28
.926029 9.9251149 • 925868 .925788 .925707 . .9255 .925465
733177 : 733373 l33569 '733765 :• 734157 733961
3. Z1 3. Z1 3. Z1 3.27 3. Z1 3. 27
.924736 .924654 .924572 .924491 • 924400
9.~~ '734744 . 734939 : 7351ag .73533 · 735525 736719 .735914
3. 23 3. 25 3.25
""'_
D. '''..
~
'.~
.~
:: t~=
g~59 .
.925222 9.925141 .925060
1.33 1.36 1. 33 1. 36 1.36 1.36 1.33 1.36 1.36 1.36 1.36 1.36 1.36
9. 804466 .804745 . 805023 805302 : 805580 .80585 9 806137 : 8064 15 .8066 93 .806971 9.807249
.194977 • 194698 .194420 .194141 .193863 .193585 .193307 .193029 10.192751 .192473
.807805
.191917
15:
:ii:El
.8075Z1
1.36 1. 37 1.36 1.37 1. 36
808916 . 809193 :.809748 809471
1. 37 _
__
1-' 60
59 58 67 66 65 64 63 62 51
60
49 48 47 46 45 +I 43 42 41 40 39 38 37 36 36 34 33 32 31 30 29 2!1 Z1 26
25 24 23 22 21 20
.192195
.190807 .190529 • 190252
"
1-=8O:=~~~735~I~~~~~~:=R=-~~~~~I~D:·21'~"Jl~Co~~mng!.~~D.~I~.~______~~:
,--,
,....
_
122·
1511
,
146°
9.7361119
.7~
11 12 13 14 15 16 17 18 19
.20 21 22 23
24
26 26 27 28 29 30
.7364 .736692 .736886 .737~ .7372 .737467 .737661 .737855 .738048 9.738241 .738434 .738627 • 7388~ .7ago
:~=:
.7395 .739783 .739975 9.740167 40650 • 74Oi159 .7 42 .7t07 4 .74093 .741125 .741316 .741~
.741699 .741889
9.74.2081f .74227 .742462 .742652 .742842 .743033 .743223 .743413 .743602 .743792
3.23 3.26 3.23 3.23 3.23 3.23 3.22 3.23 3.23 3.22 3.22 3.22 3.22 3.22 3.22 3.22 3.20 3.20 3.22 3.20 3.20 3.20 3. IS 3.20 3.20 3.18 3.18 3.20 3.18 3.17 3.18 3.18 3. IS 3.17 3.17 3. IS 3.17 3.17 3.15 3.17 3.17 3.15 3.17 3.15 3.15 3.15 3.15 3.15 3.13 3.15 3.13 3.15 3.13 3.13 3.13 3.13 3.12 3.13 3.12 3.13
9. 923691
.923509 .923427 .923345
:= .= := .923098 .923016
:922768 9.922686
.922003
.922620
.922438
.922189 .922106 .922023 .921940 9921857 :921774 .921691 .921007 .921524 .921441 .921357 .921274 .921190 .921107 9.921023
.9.20939 .93l856 .920772 .920688
:: .920436 .920352
.920268 9.920184 .920099 .920015 .919931 .919846 .919762 .919677 .919593 .91~
.919424 9.919339 .919254 .919169 .919085 .919000 .918915 .918830 91S74.5 • 91S659 9.918574
1.37 1.37 1.37 1.37 1.37 1.38 1.37 . 1.38 1.37 1.38 1.37 1.38 1.38 1.37 1.38 1.38 1.38 1.38 1.38 1.38 1.38 1.38 1.38 1.40 1.38 1.38 1.40 1.38 1.40 1.38 1.40 1.40 1.38 1.40 1.40 1.40 1.40 1.40 1.40 1.40 1.40 1.4l! 1.40 1.40 1.42 1.40 1. 42 1.40 1.42 1.40 1.42 1.42 1.42 1.40 1.42 1.42 1.42 1.42 1.43 1.42
133·
~
160
9.S12517 .S12794 .SI3070 .S l33f7 .S l3623 .Sl3899 .S14176 .S14452 .S14728 SlliOO4 8M~
9.S~ .S1M3 .816107 .SI6382 • SIt1668 .816933 .817209 .SI7484 .817759 .Sl8035 9.818310 .8l8585 .8l88OO .SI9135 .SI941O .SI9684 .SI9959
.820234 .S~
.8207 9.821057 .821332 .821606 .821880 .S221M
.= :822977 823251
:823524 8.823~
::s .824619 .824893 .825166 .825439 .825713 .825986
826259 9. 826532
826805
:82707S .827351 827624 :S27897 828170 828442 828715 9. 828987
4.00 4.00 4.58 4.00 4.58 4.00 4.58 4.58 4.00 4.58 4.58 4.58 4.58 4.58 4.57 4.58 4.58 4.57 4.58 4.57 4.58 4.57 4.57 4.57 4.58 4.57 4.57 4.57 4.55 4.57 4.57 4.55 4.57 4.57 4.55 4.55 4.57 4.55 4.65 4.55
10.l84445 .184169
:=
.l83342 .183067 .182791 .182516 .182241 .181965 10.181690 .181415 .181140 .18)865
.180690 .l8031~
.l8OO4
.179766 .179492 .179217 10.178943 .178668 .178394 • 17S120 177846 : 177571 .177297 .177023 .176749 .176476 10.176202 .175928 .175655 .175381 .175107 .174834 .174.561 .174287 .174014 .173741 10.173468 .173195 .172922 .172649 .172376 .172103 .171830 .171558 .171285 10.171013
49 48 47 46 4.5 44 43 42 41
to
39 38 37 36 35 34 33 32 31 30
29 28 27 26 26
24
23 22 21 20
.
.
9.747562 • 747749 .7471136 .748126 .748310 .748497 • 748683 .748870 · 749056 .749243 .749429 .749615 9.749801 .749987 .750172 .750358 • 750543 .750729 .750914 .751099 .751284 9.751469 .751654 .751839 .752023 23 .752208 24 .752392 25 .7.52576 26 .752760 27 .752944 28 .753128 29 9.753312 30 .763495 .753679 .753862 · 754046 .754229 .754412 .754595 • 75-fl78 • 754960 9.755143 .755326 .755508 .755690 .755872 • 756054 .766236 .7564l8 .756600 .71i6782 \I. 756003 .757144 .757326 .757507 .757688 .757869 .758050 .71i823O 69 .758411 60 .9.753591 __ _ 11 12 13 14 15 16 17 18 19 20 21 22
3.10 3.10 3.08 3. 10 3. 08 3. 10 3.08 3.08 3.08 3.08 3.08 3.08 3.07 3.08 3.07 3.07 3.07 3.07 3.07 3. 07 3.06 3.07 3.07 3. 07 3.06 3.06 3. 06 3. 06 3. 03 3.06 3. 06 3.03 3.03 3.03 3. 03 3.03 3. 03 3.03 3. 03 3. 00 3. 00 3. aI 3.02 3.02 3.02 3. 00 3.00 3.02 3.00
Cosine. 4 9..918489 91857 .918404 .918318 .918233 . 918147 .918062 . 917976 .917891 .917805 .917719 9.917634 .917548 .917462 .917376 . 917290 .917204 .917118 .917032 .916946 .916859 9.916773 .916687 .91(j6()() .916514 • 91G427 .916341 .916254 .916167 .916081 .915994 9.915907 .915820 .915733 . 915646 .915559 .915472 .915385 . 915297 • 915210 .915123 9.915035 .914948 .914800 .914773 . 914685 .914598 .914510 .914422 .914334 .914246 9.1114158 .914070 .913982 .913894 .913806 .913718 .913630 .913541 .913453 9.913365
D.l". 1. 42 1. 42 1. 43 1. 42 1. 43 1. 42 1. 43 1.42 1. 43 1. 43 142 1.. 43 1. 43 1. 43 1. 43 1.43 1.43 1. 43 1.43 1.45 1.43 1.43 1. 45 1.43 1. 45 1.43 1. 45 1. 45 1. 43 1.45 1. 45 J., 45 r: 45 1. 45 1.45 1. 45 1. 45 1. 47 1. 45 1. 45 1. 47 1. 45 1. 47 1. 45 1. 47 1.45 1.47 1.47 1.47 1.47 1.47 1.47 1.47 1. 47 1. 47 1.47 1.47 1. 48 1. 471 1.47
9.828987 .829260 .829532 .829805 830077 .830349 . 830021 830893 .831165 .831437 .831709 9.831981 .832253 .832525 . 832796
49 48 47 46 45 44 43 42 41
.833068
.833339 .833611 .833882 .834154 .834425 9.834696 .834967 .835238 .835509 .835780 .836051 .836322 .836593 .836864 .837134 9.837405 .837675 . 837946 .8382!{\ .838487 .838757 . 839027 . 839207 .839568 .839838 9.840108 .840378 .840648 . 840917 .841187 .841457 .841727 .841996 .842266 .842535 9.842805 843074 .843343 . 843612 .843882 .844151 . 844420 .844689 .844958
4. 52 4. 52 4.52 4.52 4. 52 4. 52 4.52 4. 52
t~ 4.50 4. 52 4.50 4. 50 52 44. 50 4. 50 4. 52 4. 50 4. 50 4.50 4. 50 4. 48 4.50 4.50 4.50 4.48 4.50 4. 48 4.50
i:~'~::~~~~~D~'I~"~~-~S~I~~_1~-~-~-~~~9~.845~22~7~~4.2:48Jc~~~=t= •
41479-10--11
ne.
D.l".II~--tang. D.l".
181
40
39 38 37 36 35
t32 31
ao
20 28
~
25 24 23 22 21 20 19 18
~~
17 16 13 12 11 10 9
~
~
6 31 2 0
TA.BLE '.-LOGA.BITBIIIC 8INES, COSINES, ,
Sine.
o
9.758591 .7fRl72 .758952 .759132 .759312 .759492 .759672 .769852 .760031 .760211 .760390 9.760669 .760748 .760927 .761106
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39
40 41 42 43
4445 46 47 48 49 ~
61 62 63
64 65 56 67 68 59 60
.761~
.761464 .761642 .761821 .761999 .762177 9.762356 .762534 .762712 .762889 .763067 .763245 .763422 .763600 .763777 .763964 9.764131 .764308
.764486 .764662 .764838 .765015 .765191 .766367 .765544 .765720 9.765896 .766072 .766247 .766423 .766598 .766774 .766949 .767124 .767300 .767475 9.767649 .767824 .767999 .768173 .768348 .768522 .768697 .768871 .769045 9.769219
- - , - Cosine.
D.l". [ Cosine. 3 02 3' 00 3' 00 3'00 3' 00 3' 00 3'00 2'98 3' 00 2' 98 2: 98 2.98 2.98 2.98 2.98 2.98 2.97 2.98 2.97 2.97 2.98 2.97 2.97 2.95 2.97 2.97 2.95 2.97 2.95 2.95 2.95 2.95 2.95 2.95 2.93 2.95 2.93 2.93 2.95 2.93 2.93 2.93 2.92 2.93 2.92 2.93 2.92 2.92 2.93 92 2.90 2. 2.92 2.92
1
~:~ I
2.90 2.92 2.90 2.90 2.90
9.913365 .913276 .913187 .913099 .913010 .912922 .912833 .912744 .912655 .912566 .912477 9.912388 .912299 .912210 .912121 .912031 .911942 .911863 .911763 .911674 .911584 9.911495 ' .911405 .911315 .911226 .911136 .911046 .910956 .910866 .910776 .910686 9.910596 .910506 .910415 .910325 .910235 .910144 .910054 .909963 .909873 .909782 9.909691 .909601 .909510 .909419 .909328 .909237 .909146 .909065 .908964 .908873 9.908781 .908690 .908599
.908507 .908416
.908324 .908233 .908141 .008049 9.907958
D.l".11 Tang. 1 48 l' 48 l' 47 1'48 l' 47 l' 48 1'48 1'48 l' 48 l' 48 1: 48 1.48 1.48 1.48 1.50 1.48 1.48 1.50 1.48 1.50 1.48 1.50 1.50 1.48 1.50 1.50 1.50 1.50 1.50 1.50 1.50 1.50 I.S2 1.50 1.50 1.52 1.50 1. 52 1.50 1.52 1.52 1.50 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.52 1.53 1.52 1.52 1.53 1.52 1.53 1.52 1.53 1.53 1.52
I
9.845227 .845496 .845764 .840033 .846302 .846570 .846839 .847108 .847376 .847644 .847913 9.848181 .848449 .848717 .848986 .849264 .849522 .849790 .850057 .850325 .850593 9.850861 .851129 .851396 .851664 .851931 .852199 .852466 .852733 .853001 .853268 9.853535 .853802 .854069 .854336 .854603 .854870 .855137 .855404 .855671 .855938 9.856204 .856471 .856737
.857004 .857270 .857537 .857803 .858069 .858336 .858602 9.858868 .859134 .859400 .859666 .859932 .860198 .860464 .860730 .860995 9.861261
D.1". ~ D.1".1 Cotang.
1«°
_ tan _D_._l_"·_I __Co '_ _ g_·_I __ 4.48 4.47 4.48 4.48 4.47 4.48 4.48 4.47 4.47 4.48 4.47
10. 154773 60 .154504 59 .154236 68 ,.153967 57 .153698 56 .153430 65 .1b316154 .16289253 .152624 52 .152356 51 .152087 50
4.47 4.47 4. 48 4.47 4.47 4.47 4.45 4.47
10: .151283 .151014 , .150746 .160478 .150210 • 149943 .149675 .149407
40
4.47
10:}= .148604
: 37
.147801 • 147534 • 147267 . 146999 .146732
33 32 31 30
10J= .145931 .145664
: 27 26
• 144863 .144596 144329 . 144062
23 22 21 20
lOJlli~
~~
.143263
17
• 142463 .142197 .141931 .141664 .141398
14 13 12 11 10
t!~
U~
4.45 4.47 4.45 4. 45 4.47 4.45 4.45 4.45 4.45
!: ~ 4.45 4.45 4. 45
!:4.43~ 4. 45
!::: 4.43 4.45 4.43 4.43 4.45 4.43
4.43 4.43 4.43
mm :: 47 46 45 44 43 42 41
:~= 34 ~
:~~
.
:U~
~
~~
~
lOJ: . 140600
7
t~
• 140334 .140068
II 6
4.43 4. 43 4. 42 4. 43
• 139270 • 139005 10. 138739
2 1 0
4.43
D.l".
:~=
~
Tang.
MO
126"
162
36·
0 1 2 3 4 6 6 7 8 9 10 11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26 27
28 29 30 31 32 33
34 35
36 37 38 39 40
41 42 43 44 45 46 47
48 49 50 51 52 53 54 55 56 57 58 59 60
9.769219 .769393 .769566 .769740 .769913 .770087 .770260 .770433 .770006 .770779 .770952 9.771125 .771298 .771470 .771643 .771815 .771987 .772159 .772331 .772503 .772675 9.772847 .773018 .773190 .773361 .773533 .773704 .773875 .774046 .774217 .774388 9.774558 .774729 .774899 .775070 .775240 .775410 .775580 .775750 .775920 .776090 9.776259 .776429 .776598 .77&768
2.90 2.88 2.90 2.88 2.90 2.88 2.88 2.88 2.88 2.88 2.88 2.88 2.87 2.88 2.87 2.87 2.87 2.87 2.87 2.87 2.87 2.85 2.87 2.85 2.87 2.85 2.85 2.85 2.85 2.85 2.83 2.85 2.83 2.85 2.83 2.83 2.83 2.83 2.83 2.&~
.777100 .777275 .777444 .777613 .777781 9.777950 .778119 .778287 .778455 .778624 .778792 .778960 .779128 .779295 9.779463
2.82 2.83 2.82 2.83 2.82 2.82 2.82 2.82 2.82 2.80 2.82 2.82 2.80 2.80 2.82 2.80 2.80 2.80 2.78 2.80
Cosine.
D.I".
• T16937
9.907958 .907866 .907774 .907682 .907590 .907498 .907406 .907314 .9072'.12 .907129 .907037 9.906945 .906852 .906760 .906667 .906575
.906482 .906389 .906296
.906204 .906111 9.906018 .00>925
.905832 .00>739
.905645 .906552 .00>459
.905366 .905272 .905179 9.905085
.904992 .904898 .904804 .904711 .904617 .904523 .904429
.904336 .904241 9.904l47
.904053 .903959
.903864 .903770 .903676 .903581 .903487 .903392 .903298 9.903203 .903108 .903014 .902919 .902824 .902729 .902634 .902539 .902 444 9. 902349 ~-~
Sine.
1.53 1.53 1.53 1.53 1.53 1.53 1.53 1.53 1.55 1.53 1.53 1.55 1.53 1.55 1.53 1.55 1.55 1.55 1.53 1.55 1.55 1.55 1.55 1.55 1.57 1.55 1.55 1.55 1.57 1.55 1.67 1.55 1.57 1.57 1.55 1.57 1.57 1.67 1.57 1.57 1.57 1.67 1.67 1.58 1.57 1.57 1.58 1.57 1.58 1.57 1.58 1.58 1.57 1.58 1.58 1.58 1.58 1.58 1.58 1.58 ~--
9.861261 .861527 .861792 .862068 .862323 .862589 862854 .863119 863385 .863650 .863915 9.864180 .864445 .864710 .864975 .865240
.865505 .865770
.866035 .866300
.866564 9.866829 .867094 .867358 .867623 .867887 .868152 .868416
.868680
.868945 .869209 9.869473 .869737 .870001 .870265 .870529 .870793 .871057 .871321 .871685 .871849 9.872112 .872376
.873640 .872903 .873167 .873430 .873694 .873957 .874220 .874484 9.874747 .875010 .875273 .875537 .875800 .876063 .876326 .876b89 .876852 9.877114 ~--
D.l".! Cotang.
4.42 4.42 4.42 4.42 4.42 4.42 4.42 4.42 4.40 4.42 4.42 4.40 4.42 4.40 4.42 4.40 4. 40 4.42 4. 40 4. 40 4.40 4.40 4.40 4.40 4.40 4.40 4.40 4.40 4.40 4.38 4.40 4.40 4.38 4. 40 4.38 4.40 4.38 4.38 4. 40 4.38
49"
48 47
46 45 44 43 42 41 40 39 38 37
36 35 34 33 32 31 30
19 18 17 16 15 14 13 12 11 10
~-
D.I". M·
126·
163
J
TABLE '.-LOOAKITHIIIC SIIfE8, COSlIfES.
37 0
, SIne. D.l". CosIne. D.I". Tang. D.l"·1 - - --- - - - - - - - - - 0- 9.779463 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
24 25
26 27 28 29 30 31 32 33 34 35 36
37
38 39
40 41 42 43 44 45 46 47 48
49
I
50 51 52 113 54 55 56 57 58 69
SO
.779631 .779798 .779966 .780133 .780300 .780467 .780634 .780801 .780968 .781134 U. 781301 .781468 .781634 .781800 .781966 .782132 .782298 .782464 .782630 .782796 9.782961 .783127 .783292 .783458 .783623 .783788 .783953 .784118 .784282 .784447 '.784612 .784776 .784941 .786106 .786269 .786433 .786597 .785761 .785925 .786089 9.786262 .788416 .786679 .786742 .786906 .787069 .187232 .787395 .787557 .787720 9.787883 .188045 .788208 .788370 .788632 .788694 .788866 .189018 .789180 9.789342
2.80 2.78 2.80 2.78 2.78 2.78 2.78 2.78 2.78 2.77 2.78 2.78 2. 77 2.77 2.77 2.77 2.77 2.77 2.77 2.77 2.76 277 2.76 2.77 2.76 2.75 2.76 2.76 2.73 2.76 2.76 2.73 2.76 2.73 2.73 2.73 2.73 2.73 2.73 2.73 2.72 2.73 2.72 2.72 2.73 2.72 2.72 2.72 2.70 2.72 2.12 2.10 2.12 2.70 2.70 2.10 2.10 2.10 2.70 2.70
9.902:W9 .902253 .902158 .902063 .901967 .901872 .901776 .901681 .901585 .901490 .901394 9.901298 .901202 .901106 .901010 .900914 .900818 .900722 .900626 .900529 .900433 9.900337 .900240 .900144 .900047 .899961 .899864 .899767
.899660 .899564 .899467 9.899370 .899273 .899176 .899078 .898981
.898884 .898787
.898689 .898592 .898494 9.898397 .898299
.898202 .898104 .898006 .897908 .897810 .897712 .897614 .897516 9.897418 .897320 .897222 .897123 .897026
.896926 .896828
.896729 .896631 9.896632
1.60 1.58 1.58 1.60 1.58 1.60 1.58 1.60 1.58 1.60 1.60 1.60 1.60 1.60 1.60 1.60 1.60 1.60 1.62 1.60 1.60 1. 62 1.60 1.62 1.60 1.62 1.62 1.62 1.60 1.62 1.62 1.62 1.62 1.63 1.62 1.62 1.62 1.63 1.62 1.63 1.62 1.63 1.62 1.63 1.63 1.63 1.63 1.63 1.63 1.63 1.63 1.63 1.63 1.65 1.63 1.65 1.63 1.65 1.63 1.66
-- ------,- -CosIne. - - -D.I". SIne. D.I". 127 0
9.877114 .877377 .877640 .877903 .878165 .878428 .878691 .878953 .879216 .879478 .879741 9.880003 .880265 .880528 .880790 .881062 .881314 .881577 .881839 .882101 .882363 9.882625 .882887 .883148 .883410 .883672 .883934 .884196 .884467 .884719 .884980 9.886242
.886504 .886766 .886026
.886288 .886649 .886811 .887072 .887333 .887594 9.887855 .888116 .888378 .888639 .888900 .889161 .889421 .889682 .889943 .890204 9.890465 .890726 .890986 .891247 .891501 .891768 .892028 .892289 .892549 9.892810 ---
Cotang.
4.38 4.38 4.38 4.37 4.38 4.38 4.37 4.38 4.37 4.38 4.37 4.37 4.38 4.37 4.37 4.37 4.38 4.37 4.37 4.37 4.37 4.37 4.35 4.37 4.37 4.37 4.37 4.35 4.37 4.35 4.37 4.37 4.35 4.35 4.37 4.35 4.37 4.35 4.35 4.35 4.35 4.35 4.37 4.35 4.35 4.35 4.33 4.35 4.35 4.35 4.35 4.33 4.35 4.35 4.33 4.35 4.33 4.35 4.33 4.35
D.I".
Cotang. 10.122886 .l22623 .122360 .122097 .121835 .121572 .121309 .121047 .120784 .120622 .120059 10.119997 .119735 .119472 .119210 .118948 .118686 .118423 .118161 .117899 .117637 10.117376 .117113 .116852 .116590 .116328 .116066
.115804
.115543 .115281 .115020 10.114758 .114496 .114235 .113974 .113712 .113451 .113189 .112928 .112667 .112406 10.112146 .1l1884 .1ll622 .111361 .111100 .110839 .110579 .110318 .110057 .109796 10.100635 .109276 .109014 .1087113 .108493 .108232 .107912 .107711 .107451 10.107190
Tang.
I
, 60 59 58 57 56 6.'i 64 63 62 61
60 49 48 47
4li 46 44 43
42 41
40 39 38 37 86 35 34 33 32 31 iIO 29 28 27 26 25
24 23 22 21 20 19 18 17 16 16 14 13 12 11 10 9 8 7 6 6 4 3 2 1 0
, 38"
164
TANGENTS, AND OOTANGEPiTS.
38· Sine. 0 1 2 3 4 6 6 7 8 9 10 11 12 13 14 16 16 17 18 19 20 21 22 23 24 26
26 27 28 29 30
9.789342
• 789504
.789665 .789827 .789988 .790149 .790310 .79Of71 .790632 .790793 .790964 9.791115 .791275 .791436 .791596 .791757 .791917 .792077 .792237 .792397 .792557 9.792716 .792876 .793035 .793195 .7933 54 .7935 14 .793673
.793832
.793991 .794150 9.794308 .794467 .794626 .794784 .794942 .795101 .795259 .795417 .795575 .795733 9.795891 .796049 .796206 .796364 .796521 .796679 .796836 .796993 .797150 .797307
D.l".
Cosine.
2. 70 2.68 2.70 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2. 67 2.68 2.67 2.68 2.67 2.67 2.67 2.67 2.67 2.66 2.67 2.66 2.67 2.66 2.67 2.66 2.66 2.66 2.66 2.63 2.66 2.66 2.63 2.63 2.66 2.63 2.63 2.63 2.63 2.63 2.63 2.62 2.63 2.62 2.63 2.62 2.62 2.62 2.62 2.62
9.896632
.8Il6433 .8Il6335 .896236
.896137 .896038 .896939 .895840 .896741 .89664l .896542 9.895443 .895343 .895244 .895145 .896045 .894945 .894846 .894746 .894646 .894546 9.894446 .894346 .894246 .894146 .894046 .893946 .893846 .893745 .893645 .893544 9.893444 .893343 .893243 .893142 .893041 .892940 .892839 .892739 .892638 .892536 9.892435 .892334 .892233 .892132 .892030 .891929 .891827 .891726 .891624 .891523 9.891421 .891319 .891217 .891115 .891013 890911 .890809 .890707 .890605 9. 890503
D.l". 1.66 1.63 1.66 1.66 1.66 1.66 1.66 1.66 1.67 1.66 1.66 1.67 1.66 1.66 1.67 1.67 1.66 1.67 1.67 1.67 1.67 1.67 1.67 1.67 1.67 1.67 1.67 1.68 1.67 1.68 1.67 1.68 1.67 1.68 1.68 1.68 1.68 1.67 1.68 1. 70 1.68 1.68 1.68 1.68 1. 70 1.68 1.70 1.68 1.70 1.68 1.70 1.70 1.70 1.70 1.70 1.70 1.70 1.70 1.70 1.70
128·
Tang. 9.892810 .893070 .893331 .893591 .893851 .894l11 .894372 .894632 .894892 .895152 .8954l2 9.895672 .895932 .896192 .896462 .896712 .896971 .897231 .897491 .897751 .898010 9.898270 .898530 .898789 .899049 .899308 .899568 .899827
.900087 .900346 .900606 9.900864 .901124 .901383 .901642 .901901 .902180 .902420 .902679 .902938 .903197 9.903456 .903714 .903973
.904232
.904491 .9Of750
.905008 .005267
.905526 .005785 9.906043 .906302
.906580
.906819 .907077 .907336 .907594 .907853 .908111 9. 908369
D.l". 4.33 4.36 4.33 4.33 4.33 4.35 4.33 4.33 4.33 4.33 4.33 4.33 4.33 4.33 4.33 4.32 4.33 4.33 4.33 4.32 4.33 4.33 4.32 4.33 4.32 4.33 4.32 4.33 4.32 4.32 4.32 4.33 4.32 4.32 4.32 4.32 4.33 4.32 4.32 4.32 4.32 4.39 4.32 4.32 4.32 4.32 4.30 4.32 4.32 4.32 4.30 4.32 4.30 4.32 4.30 4.32 4.30 4.32 4.30 4.30
Cotang. 10.107190 .10e930 .106669 .10640II .106149 .105889 .105628 .105368 .106108 .1!M848 .11M588 10.104328 .104068 .103808 .103548 .103288 .103029 .102769 .102509 .102249 .1011190 1001Oi730 .101470 .101211 .100951 .100692 .100432 .100173 .00II913 .099654 .099395 10. 099136 .098876 .0118617 .008358 .098099 .097840 .097580 .097321 .097062
.096803
80 59 58 57 56 55 64 53 52 61 50
49
48 47 46 45 44 43 42 41
40 39 38 37 36 35 34 33 32 31 30 211 28 27
26 26
24 23 22 21 20
10.096544
III
.006286 .096027
18 17 16 15 14 13 12 11 10
.095768
.095509 .095250 .094992 .094733 .094474 .094215 10.093957 .093698 .093440 .093181 .092923 .092664 .092406 .092147 .091889 10,091631
9
8 7 6 5 4 3 2 1 0
101·
165
~
)
.
TA.BLE 9.-LOGA.RITHMIC SINES, COSINES,
39"
-
0 1 2 3 4 I;
6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
24
25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41
42 43 44 45 46 47 48 49 60 61 62 63 54 55 66 67 68 69 00
..
Blne.
D.I".
Cosine.
D.l".
.803357 .803511 9.803664 .803817 .803910 .804123 .804276 .804428 .804581 .804734 .804886 .805039 9.805191 .805343 .805495 .805647 .805799 .805951 .806103 .806254 .806406 '.806557 9.806709 .806860 .807011 .807163 .807314 .807465 .807615 .807766 .807917 9.808067
2.00 2.00 2.58 2.00 2.00 2.58 2.00 2.68 2.58 2.58 2.58 2.68 2.58 2.58 2.57 2.68 2.68 2.57 2.57 2.57 2.68 2.57 2.57 2.55 2.57 2.57 2.55 2.57 2.55 2.57 2.55 2.55 2.55 2.55 2.55 2.55 2.55 2.55 2.53 2.55 2.53 2.53 2.53 2.53 2.53 2.53 2.53 2.52 2.53 2.52 2.53 2.52 2.52 2.53 2.52 2.52 2.50 2.52 2.52 2.50
.890400 .890298 .890195 .890093 .889990 .889888 .889785 .889682 .889579 .889477 9.889374 .889271 .889168 .889064 .888961 .888858 .888755 .888651 .888548 .888444 9.888341 .888237 .888134 .888030 .887926 .887822 .887718 .887614 .887510 .887406 9.881302 .887198 .887093 .886989 .88(',885 .886780 .886676 .886571 .88f>4fJ6 .886362 9.886257 .886152 .88(',047 .885942 .885837 .885132 .885627 .885522 .885416 .885311 9.885205 .885100 .884994 .884889 .884783
1.72 1.70 1. 72 1.70 1. 72 1.70 1.72 1.72 1. 72 1.70 1. 72 1.72 1. 72 1. 73 1. 72 1. 72 1. 72 1. 13 1. 72 1.73 1. 72 1.73 1. 72 1.73 1. 73 1.73 1. 73 1.73 1. 73 1. 73 1. 73 1. 73 1. 75 1.73 1. 73 1. 75 1.73 1.75 1. 75 1. 73 1.75 1. 75 1. 75 1.75 1.75 1.75 1. 75 1.75 1.77 1.75 1.77 1. 75 1.77 1. 75 1.77 1.77 1.75 1.77 1.77 1. 77
Cosine •
D.l".
--9.798872 .799028 .799184 .799339 .799495 .799651 .799806 .799962 .800117 .800272
.800427 9.800682 .800737 .8(J08g2
.801047 .801201 .801356 .801511 .801665 .801819 .801973 9.802128 .802282 .802436 .802589 .802743
.802897
.803050
.803204
.&~4617
.884572 .884466 .884300 9.884254
-- --- --- --Blne.
D.I/l.
.909660 .909918 .910177 .910435 .910693 .910951 9.911209 .911467 .911725 .911982 .912240 .912498 .912756 .913014 .913271 .913529 9.913787 .914044 .914302 .914560 .914817 .916075 .915332 .915590 .915847 .916104 9.916362 .916619 .9lf>877 .917134 .917391 .917648 .911906 .918163 .91R42O .918677 9.918934 .919191 .919448 .919705 .919962 .920219 .920476 .920733 .920990 .921247 9.921503 .921700 .922017 .922274 .922530 .922787 .923044 .923300 . 923M7 9.923814
4.32 4.30 4.30 4.30 4.30 4.30 4.32 4.30 4.30 4.30 4.30 4.30 4.30 4.28 4.30 4.30 4.30 4.30 4.28 4.30 4.30 4.28 4.30 4.30 4.28 4.30 4.28 4.30 4.28 4.28 4.30 4.28 4.30 4.28 4.28 4.28 4.30 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.27 4.28 4.28 4.28 4.27 4.28 4.28 4.27 4.28 4.28
D.l".1 eotang.
D.I".
.908628 .908886 .909144
.909402
I I
129
l~
Tang.
----- ----- 9.890/i03 9.908369
166
--- ---
Cotang • 10.091631 .091372 .091114 .090856 .090598 .090340 .090082 .089823 .~
.089307 .089049 10.088791 .088533 .088275 .088018 .087700 .087502 .087244 .085986 .085729 .085471 10.085213 .085956 .085698 .085440 .085183 .084925 .084668 .084410 .084153 .083896 10.083638 .083381 .083123 .082866 .082009 .082352 .082094 .081837 .081580 .081323 10.081066 .080809 .080552 .080295 .080038 .079781 .079524 .079267 .079010 .078753 10.078497 .078240 .077983 .077726 .077470 .077213 .076956 .076700 .076443 10.076186
Tang.
. 60
69 68 67 66 56 54 63 62 61
60 49 48 47 46 46 44 43
42
41 40
39 38 87 36 35 34 33 32 31 30 29 28 27
26 26
24
23 22 21
20 19 18 17 16 16 14 13 12 11 10
9 8 7 6
Ii 4 3 2
1
. 0
TANGENTS , AND COTANGEN TS.
40·
D.l". 9.sOsoo7 .808218 .80!368 .81&19
.808669 .~19
11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28
29 30 31 32 33 34 35 36 37 38 39 40
41
42
43 44 45 46 47 48 49 60 51 62 63 54 55 56 67 58 59 60
.80'!969 .800119 .809269 .809419 .809569 9.809718 .8OIl868 .810017 .810167 .810316 .810465 .810614 .810763 .810912 .811061 9.811210 .811358 .811507 .811655 .811804 .811952 .812100 .812248 .812396 .812544 9.812692 .812840 .812988 .813135 .813283 .813430 .813578 .813725 .813872 .814019 9.814166 .814813 .814460 .814607 .814753 .814900 .815046 .815193 .815339 .815485 9.815632 • 811m8 .815924 .816069 .816215 .816361 .816507 .816652 .816798 9.816943
2.62 2.60 2.52 2.60 2.60 2.60 2.60 2.60 2.50 2.60 2.48 2.50 2.48 2.50 2.48 2.48 2.48 2.48 2.48 2.48 2.48 2.47 2.48 2.47 2.48 2.47 2.47 2.47 2.47 2.47 2.47 2.47 2.47 2.45 2.47 2.45 2.47 2.45 2.45 2.45 2.45 2.45 2.45 2.45 2.43 2.45 2.43 2.45 2.43 2.43 2.45 2.43 2.43
2.42 2.43 2.43 2.43 2.42 2.43 2.42
9.884254 9841<18
.884042 .883936 .883829 .883723 .883617 .883510 .883404 .883297 .883191 9.883084 .882977
.8&2871
.882764 .882657 .882550 .882443
.882336 .882229
.882121 9.882014 .881907 .881799 .881692 .881584 .881477 .881369 .881261 .881153 .881046 9.880938 .880830 .880722 .880613 .880605 .880397
.880289 .880180 .880072 .879963 9.879855 .879746 .879637 .879529 .879420 .879311 .879202 .879093 .878984 .878875 9.878766 .878656 .878547 .878438 .878328 .878219 .878109 .877999 .877890 9.877780
1.77 1.77 1.77 1.78 1.77 1.77 1.78 1. 77 1. 78 1. 77 1. 78 1. 78 1.77 1. 78 1.78 1.78 1. 78 1.78 1. 78 1.80 1.78 1.78 1.80 1. 78 1.80 1.78 1.80 1.80 1.80 1.78 1..80 1.80 1.80 1.82 1.80 1.80 1.80 1.82 1.80 1.82 1.80 1.82 1.82 1.80 1.82 1.82 1.82 1.82 1.82 1.82 1.82 1.83 1.82 1.82 1.83 1.82 1.83 1.83 1.82 1.83
9.923814 .924070 .924327 .924583
.924840 .925096 925352 925609 925865 .926122 .926378 9.926634 .926890 .927147 .927403 .927659 .927915 .928171
.928427 .928684 .928940 9.929196 .929452 .9297~
.929964 .930220 .930475 .930731
.930987 .931243 .931499 9.931755 .932010 .932266 .932522 .932778
.933033 .933289 .933545 .933800 .934066 9.934311
.934567 .934822 .935078 .935333
.935589 .935844 .936100 .936355 .936611 9.936866 .937121 .937377 .937632 .937887 .938142 .938398
4.27 4.28 4.27 4.28 4.27 4.27 4.28 4.27 4.28 4.27 4.27 4.27 4.28 4.27 4.27 4.27 4.27 4.27 4.28 4.27 4.27 4.27 4.27 4.27 4.27 4.25 4.27 4.27 4.27 4.27 4.27 4.25 4.27 4.27 4.27 4.25 4.27 4.27 4.25 4.27 4.25 4.27 4.25 4.27 4.25 4.27 4.25 4.27 4.25 4.27 4.25
49 48 47 46 45 44 43
42
41 40
39 38 37 36 35 34 33 32 31 30 29
28 27 26 25 24 23
22 21 20 19 18 17 16 15 14 13 12 11 10
938653
.938908 9.939163
49·
130·
167
TABLE '.-LOfUIUTUII Ie SINES. OOSINES
Sine.
o 1
2
3 4 6 6 7 8 9
10 11 12 13 14 15 16 17 18 19 20 21 22 23
9.816943 .817088 .817233 .817379 .817524 .817668
.817813 .817958 .818103 .818247 .818392 9.818536 .818681 .818825 .818969 .819113 .819257 .819401 .81954.'i .819689 .819832 9.819976 .820120
.820263
24
.820406
25 26 27
.s:m50 .820693
28 29
iIO 31 32
33 34 35 36 37 38 39 40 41
42
43 44 45 46 47
.820836
.820979 .821122 .821265 9.821407 .821550 .821693 .821835 .821977 .822120 .822262 .822404 .822546 .822688 9.822830 .822972 .823114
.823255 .828397 .823539 .823680
48
.823821
49 60 61 62 53
.823963
64 65 66 57 68 69 60
.824104
9.824245 .824386 .824527 .824668 .824808
.824949
.825090 . 8252'JO . 8253il 9.826511
CosIne.
D.l". 2. 42 2.42 2.43 2.42 2. 40 2.42 2.42 2.42 2. 40 2. 42 2.40 2.42 2.40 2. 40 2.40 2. 40 2.40 2. 40 2.40 2. 38 2. 40 2.40 2.38 2.38 2.40 2.38 2. 38 2.38 2. 38 2.38 2. 37 2.38 2.38 2.37 2. 37 2.38 2.37 2.37 2.37 2.37 2.37 2.37 2.37 2. 35 2.37 2. 37 2.35 2.35 2.37 2. 35 2.35 2.35 2.35 2.35 2.33 2.35 2.35 2.33 2.35 2.33
9..877670 877780 .877560
.877460 • 877340 .877230
.877120 .877010 • 876899 .876789 .876678 9.876568 .876457 . 876347 .876236 .876125 .876014 .875904 .875793 . 875682 .876571 9.876459 .875348 .876237 .875126 .876014 .874903 .874791 .874680 .874568 .874456 9.874344 .874232 .874121 .874009 .873896 .873784 .873672 I .873560 .873448 .873335 I 9-.873223 .873110 . 872008 .872885 . 872772 .872659 .872547 .872434 . 872321 .872208 9.872095 .871981 .8718[,8 .871765 871641 .871528 .871414 .871301 .871187 9.871073
I
D.1".
Sine.
D.l". 1.83 1.83 1.83 1. 83 1.83 1.83 1. 83 1. 85 1.83 1.85 1.83 1.85 1. 83 1.85 1. 85 1.85 1. 83 1.85 1. 85 1.85 1.87 1.85 1.85 1.85 1.87 1. 85 1. 87 1. 85 1.87 1. 87 1.87 1.87 1.85 1.87 1.88 1. 87 1.87 1.87 1.87 1.88 1.87 1.88 1. 87 1. 88 1. 88 1.88 1. 87 1.88 1. 88 1.88 1. 88 1. 90 1.88 1.88 1. 90 1. 88 1. 90 1. 88 1.90 1. 90
~-
Tang. 9.939163 .939418 .939673 .939928 .940183 .940439
.940694
• 940949 .941204 .941459 .941713 9.941968
942223 .~78
• 942733
.942988
• 943243
.943498 • 943752
.944007
.944262 9.944517 .944771 .946026 .945281 • 945535 .945790 . 946045 .946299
. 946554
.~ 9.947063
.947318 .947572 .947827 .948081 .948335 .948590 .948844 .949099 .949353 9. 949608 . 949862 .960116 . 950371 .960625 .950879
I
I
.951133 . 951388 .951642 .951896 9.952160 .952405 . 952M9 .952913 .953167 .953421 .953675 .953929 .954183 9.954437
D.1".!'I Co~ta~ng.
D.l". 4.26 4.25 4.26 4.26 4.27 4.25 4.26 4.25 4.26 4.23 4.26 4.26 4.26 4.25 4.25 4.26 4.26 4.23 4.26 4.25 4.25 4.23 4.26 4.25 4.23 4.26 4.25 4.23 4.25 4.23 4.25 4.25 4.23 4.25 4.23 4.23 4.25 4.23 4.25 4.23 4.25 4.23 4.23 4.25 4.23 4.23 4.23 4.25 4.23 4.23 4.23 4.25 4.23 4.23 4.23 4.23 4.23 4.23 4.23 4.23
• 10.060837 .060582 .060327 .060072
.059817 .059561 .069306 .059061 .058796
.068541
.068287
60 69 68 67 66 65 54
63
62 61 60
10.068032 .067777 .067522 .067267 .067012 .066757 .066602
.066248 .055993
.066738 10.066483
.066229
.064974 .064719 .064465
.054210 .053965 .053701
.063446
.063192
10.052937
29
.052682 .052428
28 27 26 26
.062173 .061919 .061665 .061410 .061156 .060901 .060647
24
23 22
21
20
10.050392 .050138 .049884 .049629
.049375 .049121 .048867
.048612
.048358 .048164 10.047860 .047595 .047341 .047087 .046833
.046579 .046326 .046071 .046817
10.046563
D~.-I-"
4S"
168
T.UiQR/IITS, A.ND COTA.NGENTS.
4'"
Blne. o
1 2
3 4 /I
6 7 8 9 19 11 12 13 14 16 16 17 18 19 20 21 22 23 24 2S 26 27 28
29 30 31 32 33 34 35 38 37 38 39
«>
41 42
43 44 45 46 47 48 49 50
9. 82551~ • 82565 825791 • 825931 • 826071 1126211 826351 826491 826631 826770 826910 9 827049
:~~
Comng.
---1. 88 1. 90 1. 90 1. 90 1. 90 1. 90 1. 90 1. 92 1. 90 1. 90 1. 92 1. 90 1.92
9. 954437 .954691 . 954946 .955200 955454 . 955708 955961 956215 956469 956723 956977 9. 957231 • 957485 •
10.045563
1. 92 1. 92 1. 92 1. 92 1. 92
.958500 • 9587 54 • 959008 • 959262 .959516
1. 92 1. 92 1.92 1.93
9.959769 ',960023 960277
~:~ :=~~ t~
:=
2.33 2. 33 2. 33
~:~
2. 33 2.33 2.33 2.32 2. 33 2. 32
827467 : 827606 • 827745 • 827884 828162 .828023 :828301
9.828~ •• 8285828716
2.32' 2.30
9.871073 · 870960 • 87~ • 87f1732 .870618 • 870504 • 870390 • 870276 .870161 • 870047 · 869933
=
9.888670 .~
.8684 4
. 867978
1. 93
• 830234 : 830372 830509 : 830646 830784 : 830921 • 831058 9.831195 • 831332 .831469 .831606
2. 30 2. 30 2. 30 2. 30 2.28 2.30 2. 28 2. 28 2. 30 2. 28 2.28 2. 28 2. 28 2. 28 2.28 2.27
• 867631 9. 867515 • 867399 • 867283 .867167 867051 • 866935 • 866819 • 866703 : 866586 .866470 866353 9. 866237 • 866120 : 866004 •
1. 93 1. 93 1. 9.1 1. 93 1. 93 1 93 1: 93 1. 93 1. 95 1. 93 1.95 1 93 1: 95 1. 93 1.95 1. 95
9. 962306 • 962560 '96306 9628 13 7 • 963320 • 963574 • 963828 • 964081 : 964335 .964588 9.964842 9G5095 . 965349 : 965602 .965855 .966109
• 832015 • 832152
2. 28 2. 27
.865653 • 865536 865419
1. 95 1. 95
: • 967123
1. 97 1. 95
U:;
:= .:
1. 97 1. 97
: 969403 9. 969656 ___
• 829545 • 829683 9. • 82995 830007
82982~
:~m~ g~
=
2.27 2. 27
i~
M
~:~
:= .~~
Il8 69
833377 : 833512 • 833648
2. 2S 2. 27 2. 2S
. 864363 864245 9: 864127
g~
~~
:044800 044546 :044292 044039
4.23 4.23 4.23 4.23 4.22 4.23 4.23 4.23 4.23 4.22
9.832561 • 832697
=
i~ 9::: !:: 9:= ~ • • 864
U~
.967883 . 968136
':7
:041753 .041500 041246 :040992 04f1738
.040484
:0394;g .0392
.=
. 961545
n~ .\l66869
• 043785 • 043531 :043277 .043023 10.042769 042S15 · 1
10. 040231 .039977 039723
.~
2. 30
0"
:= := :~~
61 52
95~
t~ :~47
.=
·• 828855 g~ :.868093 1.~: 92~ ::i' 038 ~131 2.30 .961292
::
137 0
Tang.
D.l".
Cosine. D.l".
4.23 4.22 4.23 4.22 4.23 4.23 4.22 4.23 4.22 4.23 4.22 4.23 4.22 4.22 4.23 4.22 4.23 4.22 4.23 4.22 4.22 4.23 4.22 4.22 4.23 4.22 4.22 4.23 4.22 "
:038455 038201 :037948 10.037694 .037440 .037m
:~
'=2
:035919 .035665 .035412 10.035158
.:= :034398 .034145 .033891
.: :033131 .032877
~
59 58 57 66 65 54 53 52 61 50 49 48 47 46
45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 21l 28 27 26 2S 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10
10.::
:032ll7 .031864 .031611 .031357 .031104 030851 :030597 10.030344
I · .... D.'. __ 1-=~~J:9~8337~~83~~~~=~~~~=1~~~:"~~Co~m~n~g~'~D~'~I_'~ ______~~: lU·
169
43°
o 1 2 3
1
4 6 6 7 8
9 Sine. .833783 • 833919 • 834054 .834189 .834325 • 834460 . 834695 .834730
9
• 834865
10
.834999
11 12 13 14 15 16 17
9. 836269
1~
IG 20 21 22 23 24 25 26 27 28 29 30"
31 32 33
~
36 36
37 38 39 40 41 42 43 44 46 46
47 48
49 50 61 62 63
54 66 66
67
__
~~~~~~~~~~~~;;~~8~I;N;E;8'~;CO;~81~N~E~8~~ -r~~ Tang. 136TABLE
.8361~ .~
• 836538
• 836672 • 836807 .836941 · 836075 • 836209 .836343 .836477 9.836611 .836745 .836878 · 837012 • 837146 · 837279 .• 837412 .837546 .837679 · 837812 9. 837945 · 831!078 .838211 • &8344 • sas..77 • &8610 • 8a8742 .838875 • 839007 .839140 9. 839272 • 839404 • 839536 • 839668 • 839800 • 839932
• 840004 .840196 .840328 .840459 9.840591 • 840722 .840854 .840985 .841116 841247 · 841378 .841509 .841640 9. 841771
D . 1".
2. 27 2. 25 2.25 2.27 2. 25 2. 25 2.25 2. 25 2.23 2.25 2. 25 2.23 2. 25 2. 23 2. 25 2.23 2. 23 2. 23 2.23 2. 23 2.23 2.23 2.22 2. 23 2. 23 2. 22 2.22 2. 23 2.22 2. 22 2. 22 2. 22 2.22 2. 22 2.22 2. 22 2. 20 2.22 2. 20 2. 22 2. 20 2. 20 2. 20 2. 20 2. 20 2. 20 2. 20 2. 20 2.20 2. 18 2. 20 2. 18 2.20 2. 18 2.18 2. 18 2. 18 2. 18 2. 18 2. 18
9.-LOO~BIT
Cosine.
9. 864127 • 864010 .863892 .863774 • 863656 863538 .863419 • 863301
.863183
~
862946
a~
• 862709 . 862590 • 862471 .862363 • 862234 • 862115 .861996 • 861877 .861758 9.861638 .861519 . 861400 . 861280 . 861161 .8tn041 . 860922 .860802 . 860082 • 8605G2 9. 860442 .860322 • 860202 .800082 • 859962 • 859842 .859721 . 859601 . 859480 • 859360 9. 859239 . 859119 . 858998 . 858877 • 858756 . 858635 .858514
.858393 • 858272 .858161 9. 858029 .857908 . 857786 .&'i7665 .857543 . 857422 .857300 .857178 . 85 701i6 9.856934
'
D. 1".
1.95 1.97 1.97 1.97 1.97 1.98 1.97 1.97 1.98 1.97 1.98 1.97 1.98 1.98 1.97 1.98 1.98 1.98 1.98 1.98 2.00 1.98 1.98 2.00 1.98 2.00 1.98 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.02 2.00 2.02 2.00 2.02 2.00 2.02 2.02 2.02 2.02 2.02 2.02 2.02 2.02 2.03 2.02 2.03 2.02 2.03 2.02 2.03 2.03 2.03 2.03
9.969656 96\l909 .970162 .970416 .970669 .970922 .971175 .971429 .971682 .971935 .972188 9.972441 .972695 .972948 .978201 .973464 .973707 .973960 .974213 .974466 .974720 9.974973 .975226 .976479 .975732 .975985 .976238 .976491 .976744 .976997 .977250 9.977503 .977756 .978009 .978262 .978515 .978768 .979021 .979274 .979527 .979780 9.980033
.980286 .980538
.980791 .981044 .981297
.981550 .981803
.982056
.982309
9.982562 .9828I4 .983067
.983320 .983573 .983826 .984079 .984332
D. 1". 4.22 4.22 4.23 4.22 4.22 4.22 4.23 4.22 4.22 4.22 4.22 4.23 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.23 4.22 • 4. 22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.20 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22
39 38
37 36
36 ~
33 32 31 30 29
28 27 26 25 24 23 22 21 20 19
18 17 16 16 14 13 12
11 10 9 8 7 6 6 4 3 2 1
9.= 1830 ______~~~~~~~~~~~~~~Jt~~~i=~O 68
69 60
170
,J
44 0
o 1
i
'
TANGENTS AND COTANGEIfTS.
I
~1~36~.
.._ _ . Cosine. D. 1" ---;:-:,--;--;;;-/--:-_ _ Sine. D.1" 9.841771 - - -l-. - - ' Tang. 1" .841902 2. 18 9.856934' -.. -' Cotang. .842033 2.18 .856812 2.03 9.984837 2. 18 .856568 2.03 .985343 4.22 .014910 59 . 842294 .842424 2.17 .856446 2.03 .985500 4.22 .014657 58 .842555 2. 18 .856323 2.05 .985848 4.20 .014404 57 .842685 2.17 .856201 2.03 .986101 4.22 .014152 56 • 842815 2. 17 .850078 2. 05 . 986354 4. 22 .013899 55 .842946 :1.18 .855956 2.03 .986607 4.22 .013646 54 .843076 2. 17 . 855833 2. 05 • 986860 4. 22 .013393 53 9.843206 2.17 .855711 2.03 .987112 4.20 .01314052 .843336 2.17 . 2.05 .987365 4.22 .012888 51 855588 49 .843466 2.17 9.855465 2.05 9.987618 4.22 .0l2635 50 48 .843595 2. 15 .855342 2. 05 . 987871 4. 22 10. 012382 47 .843725 2.17 .855219 2.05 .988123 4.20 .012129 46 .843855 2. 17 .855000 2. 05 • 988376 4. 22 .011877 45 • 843984 2. 15 • 854973 2.05 . 988629 4. 22 .011624 44 .844114 2.17 .854850 2.05 .988882 4.22 .011371 43 .844243 2. 15 .8.'\4727 2.05 .989134 4.20 .011118 42 .844372 2. 15 .854003 2.07 .989387 4.22 .010866 41 2.17 .854480 2.05 .989640 4.22 .010613 9.844502 40 .844631 2. 15 9.854356 2.07 .989893 4.22 .010360 39 .844/60 2.15 .854233 2.05 9.990145 4.20 .010107 38 .844889 2. 15 .854109 2.07 .990398 4.22 10.009855 37 2. 15 .853986 2.05 .990651 4.22 .009602 .84S018 36 2. 15 .853862 2.07 .990903 4.20 .009349 .845127 35 2. 15 .853738 2.07 .991156 4.22 .009097 .845276 34 .845405 2.15.853614 2.07 .991409 4.22 .008844 33 2.13 .853490 2.07 .991662 4.22 .008591 .845533 32 2.15 .853356 2.07 .991914 4.20 .008338 .845002 31 9.845790 2. 13 .853242 2.07 .992167 4.22 .008086 30 2. 15 9.853118 2.07 .992420 4.22 .007833 .845919 29 2.13 .852994 2.07 9.992672 4.20 .007580 .846047 28 2.13 .852869 2.08 .992925 4.22 10.007328 .846175 27 .846304 2.15 .852745 2.07 .993178 4.22 .007075 26 . 846432 2. 13 .852620 2. 08 .993431 4. 22 .006822 25 . 846560 2. 13 .852496 2. 07 . 993683 4. 20 .0065(\9 24 .846688 2.13 .852371 2.08 .993936 4.22 .006317 23 .846816 2. 13 .852247 2.07 .994189 4.22 .006064 22 .846944 2. 13 .852122 2.08 .994441 4.20 .005811 9.847071 2.12 .851997, 2.08 .994694 4.22 .005559 ~I .847199 2.13 9.851872 2.08 .994947 4.22 .005306 19 .847327 2.13 .851747 2.08 9.995199 4.20 .001!053 18 2.12 .851622 2.08 .995452 4.22 10.004801 .847454 17 .847582 2.13 .851497 2.08 .995705 4.22 .004548 16 .847709 2.12 .851372 2.08 .995957 4.20 .004295 15 .847836 2.12 .851246 2.10 .996210 4.22 .004043 14 .847964 2.13 .851121 2.08 .996463 4.22 .003790 13 .848091 2.12 .8500!)6 2.08 .996715 4.20 .003537 12 .848218 2. 12 .850870 2. 10 • 9969f>8 4.22 .003285 II 9.848345 2.12 .850745 2.08 .997221 4.22 .003032 10 .848472 2.12 9.850619 2.10 .997473 4.20 .002779 9 ,848599 2. 12 .850493 2. 10 9.997726 4.22 .002527 8 .848726 2.12 .850368 2.08 .997979 4.22 10.002274 7 .848852 2.10 .850242 2.10.998231 4.20 .002021 6 8489792.12.8501162.10.9984844.22 .001769 5 .849106 2.12 .849990 2.10 998737 4.22 .001516 4 2.10 .849864 2.10 .998989 4.20 .001263 .849232 3 .840359 2.12 .849738 2.10 .999242 4.22 .001011 2 9.849485 2. 10 .840011 2. 12 .999495 4.22 .000758 1 __ 9.849485 2.10 I .999747 4.20 .OOOIi05 o CosIne n-1" _-__ ,10.000000 4.22 .000253 • • Sine. D. I" • Cotang. D 1 10.000000 .". Tllng • -I
I 'J
I'D.
•5 .""'" ,.., .""'" "" .""" ."
6 7 8 9 10 11 12
~!
15 16 17 18 19 20
21 22 23
24
25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
41 42 43 44
45 46
47 48 49 50 51 52 53 M 55 56 67 58 59 60
II
134
0
171
,.""" 00-
I
.I
'J
TilLS IO.-LOGARITHIlS
or
NUIlBERS. [No. 109 L. 040.
No. 100 L. 000.]
N. 100 1 2 3 4 5 6 7 8 9
o
1
00000o 0434 0868 1301 1734 4321 4751 5181 5609 6038 8000 9026 9451 9876 - - - - - - - - - - - - - 0300 012837 3259 3680 4100 4521 7033 7451 7868 8284 8700 ------------- 021189 1603 2016 2428 2841 5306 571b 6125 6533 6942 9384 9789 - - - - - - - - - - - 0195 0600 1004 033424 3826 4227 4628 5029 7426 7825 8223 8620 9017 04
9
8
6
I
2166 2598 3029 3461 3891 6466 6894 7321 7748 8174 ---------0724 1147 1510 1993 2415 4940 6360 5779 6197 6616 9116 9532 99f7 - - . 1 - - - - - - - 0361 0775 3252 3664 4075 4486 4896 73!iO 7757 8164. 8571 8978 ---------1408 1812 2216 2619 3021 5430 5830 6230 6629 7028 9414 9811 - - - - - (f}JJ7 0002 0998
Dltt. 432 428
424 420 416 412 408 404 400
397
PROPORTIONAL PARTS.
Dill:.
1
2
3
4
5
6
7
8
9
1-- - - - - - - - - - - - - - - - - -
L
434 433 432 431 430 429 428 427 426 425 424 423 422 421 4lll 419 418 417 416 415 414 413 412 411 410 409 408 407 406 405 404 403 402 tOl 400 399 398 397 396 395
43.4 43.3 43.2 43.1 43.0 42.9 42.8 42.7 42. 6 42.5 42.4 42.3 42.2 42. 1 42.0 41.9 41.8 41.7 41.6 41.5 41.4 41.3 41.2 41.1 41.0 40.9 40.8 40.7 40.6 40.5 40.4 40.3 40.2 40. 1 40.0 39.9 39.8 39.7 39.6 39.5
86.8 86.6 86.4 86.2 86.0 85.8 85.6 85.4 85. 2 85.0 84.8 84.6 84.4 84 2 84.0 83.8 83.6 83.4 83.2 83.0 82.8 82. 6 82.4 82.2 82.0 81. 8 81.6 81. 4 81. 2 81.0 so. 8 so. 6 so. 4 so. 2 so. 0 79.8 79.6 79.4 79.2 79.0
130.2 129.9 129.6 129.3 129.0 128.7 128.4 128.1 127. 8 127.5 127.2 126.9 126.6 126.3 126.0 125.7 125.4 125.1 124.8 124.5 124.2 123.9 123.6 123.3 123.0 122.7 122.4 122. 1 121.8 121. 5 121. 2 120.9 120.6 120.3 120.0 119.7 119.4 119.1 118.8 118.5
173.6 173.2 172. 8 172.4 172.0 171. 6 171. 2 170.8 170. 4 170.0 169.6 169.2 168.8 168.4 168.0 167.6 167.2 166.8 166.4 166.0 165.6 165.2 164.8 164.4 164.0 163.6 163.2 162.8 162.4 162.0 161. 6 161. 2 160.8 160.4 160.0 159.6 159.2 158.8 158.4 158.0
217.0 216. 5 216.0 215.5 215.0 214.5 214.0 213.5 213. 0 212.5 212.0 211.5 211.0 210.5 210.0 209.5 209.0 208.5 208.0 207.5 207.0 206.5 206.0 205.5 205.0 204.5 204.0 203.5 203.0 202.5 202.0 201.5 201.0 200.5 200.0 199.5 199.0 198.5 198.0 197.5
172
260.4 259.8 259.2 258.6 258.0 257.4 256.8 256.2 255. 6 255.0 254.4 253.8 253.2 252.6 252.0 251.4 250.8 250.2 249.6 249.0 243.4 247.8 247.2 246.6 246.0 245.4 244.8 244.2 243.6 243.0 242.4 241.8 241.2 240. 6 240. 0 239.4 238.8 238.2 237.6 237.0
303.8 303.1 302.4 301.7 301.0 300.3 299.6 298.9 298. 2 297.5 296.8 296.1 295.4 294.7 294.0 298.3 292.6 291. 9 291. 2 290.5 289.8 289. 1 288.4 287.7 287.0 286.3 285.6 284.9 284.2 283.5 282.8 282.1 281.4 ~. 7 ~. 0 279.3 278.6 277.9 277.2 :n6.b
347.2 390.6 346.4 380.7 345.6 388.8 344.8387.9 344.0 387.0 3jI3.2 386.1 342.4 385.2 341.6384.3 340. 8 383. 4 340.0 382.5 339.2 381.6 338.4 380.7 337.6 379.8 336.8 378. 9 336.0 378. 0 335.2 377.1 334.4 376.2 333.6 375.3 332.8 374.4 332.0 373.5 331. 2 372.6 330.4 371. 7 329.6 870.8 328.8 369.9 328.0 369.0 327.2 368.1 326.4 367.2 325.6 366.3 324.8 365.4 324.0 364..5 323.2 863. 6 322.4 362.7 321.6 861.8 320.8 3!iO.9 320.0 3!iO.o 319.2 359.1 318.4 358.2 317.11 357.3 316.8 356.4 316.0 355.6
No. 110 L. MI.]
1
0
N.
(No. 119 L. 078.
4
8
!
6
6
8
7
9
DUI.
- - --- ---- -----17ifT - -2182 -110- ---2576 2969 3362 3755 4148 4540 4932 393 041393 6106 5714 6495 6885 7275 7664 8063 8442 8830 390 6323 1 9218 0006 9993 - - - - - - - - - - - - - 2 0766 1163 1638 1924 2309 2694 3R6 ----3463 - - 3846 0380 3 063078 4230 4613 4996 6378 5760 6142 6624 383 4 6905 7286 7666 8046 8426 8805 9185 9563 9942 f - 0320 379 --- -1075 - - - - -- 1462 1829 2206 2582 2968 3333 3709 4083 376 6 060698 4458 4832 6 6206 6680 5963 6326 6699 7071 7443 7815 373 8186 7 8557 8928 9298 9668 f--- - - -- - -0038- -0407- -0776- -1145- 1514 370 8 9
071882 5547
-2250 6912
2617 6276
2985
3362
0640
7004
3718 7366
4085 1731
4451 8094
5182 SS19
4816 8457
366 363
PROPORTIONAL PARTS.
• - - - - - - --- - - - - - - - - - - - - - - ---39.5 79.0 118.5 158.0 197.5 316.0 355.5 395 237.0 276.5 Dill. 394 393
m
391 390 889 388
387 386 88& 384 383 382
1
2
39.4 39.3 81.2 39.1
78.8 71,.6 78.4 78.2 78.0 17.8 17.6 17.4 17.2 77.0 76.8 76.6 76.' 76.2 76.0 75.S 76.6 76.4 75.2 76.0 74.S 74.6 74.4 74.2 74.0 73.S 73.6 73.4 73.2 73.0 72.8 72.6 72.4 72.2 72.0 71.8 71.6 71.4 71.2
39.9 38.9 38.8 38.7 38.11 38.5
381
38.' 38.3 38.2 38.1
380
38.6
3711 378 377 376 375 374 373 372 371 370
37.D 37.8 37.7 37.6 37.6 37.4 37.3 37.2 37.1 37.0 36.9 36.S 36.7 36.6 36.5 36.4 36.3 36.2 36.1 36.0
S6t
S68
367 366 366 364 363 362 361 360 3lii 368 357
356
36.t
36.8 36.7 35.6
3
118.2 117.9 117.6 117.3 117.0 116.7 116.4 116.1 115.8 115.5 115.2 114.9 114.6 114.3 114.0 113.7 113.4 113.1 112.8 112.5 112.2 111.9 111.6 111.3 111.0 110.7 110.4 110.1 l09.S 109.5 109.2 lOS. 9 lOS. 6 lOS. 3 lOS. 0 107.7 107.4 107.1
106.8
167.6 157.2 156.8 156.4 156.0 155.6 155.2 154.8 154.4 154.0 153.6 153.2 152.S 152.4 152.0 151.6 161. 2 150.8 150.4 15(>.0 149.6 149.2 148.S 148.4 148.0 147.6 147.2 146.S 146.4 146.0 145.6 145.2 144.S 144.4 144.0 143.6 143.2 142.8 142.4
5
6
197.0 196.5 196.0 195.5 195.0 194.6 194.0 193.6 193.0 192.6
236.4 235.8 235.2 234.6 234.0 233.4 232.8 232.2 231.6 231.0 230.4 229.8 229.2 228.6 228.0 227.4 226.S 226.2 225.6 225.0 224.4 223.8 223.2 222.6 222.0 221.4 22O.S 220.2 219.6 219.0 21S.4 217.8 217.2 216.6 216.0 215.4 214.S 214.2 213.6
192.0 191. 5 191.0 190.5 190.0 189.5 189.0 ISS. 5 188.0 lifT. 5 lifT. 0 186.5 186.0 185.5 185.0 184.5 184.0 183.5 183.0 182.5 182.0 lSI. 5 lSI. 0 ISO. 5 ISO. 0 179.5 179.0 17S.5 17S.0
173
I
7
275.8 275.1 274.4 273.7 273.0 272.3 271. 6 270.9 270.2 269.5 268.8 26S.1 267.4 2('>6.7 266.0 266.3 264.6 263.9 2U3.2 262.5 261.8 261.1 260.4 259.7 259.0 258.3 257.6 256.9 256.2 255.7 254.S 254.1 253.4 252.7 252.0 251.3 250.6 249.9 249.2
8
315.2 314.4 313.6 312.8 312.0 311.2 310.4 309.6 308.8 308.0 307.2 306.4 305.6 304.8 304.0 303.2 302.4 301.6 300.8 300.0 299.2 298.4 297.6 296.S 296.0 295.2 294.4 293.6 292.8 292.0 291.2 290.4 289.6 288.8 288.0 2ff1.2 286.4 285.6 284.8
9
354.6 363.7 352.8 361.9 3&1.0 350.1 349.2 348.3 347.4 346.6 345.6 344.7 343.8 342.9 342.0 341.1 340.2 339.3 338.4 337.6 336.6 335.7 334.8 333.9 333.0 332.1 331.2 330.3 329.4 328.6 327.6 326.7 326.S 324.9 324.0 323.1 322.2 321.3 320.4
No. 120 L. 079.) N. 120 1 2 3 4 5 6 7 8 9 130 1 2 3 4
_41
Ii
0266 3861 7426
0626 4219 7781
0987 4576 8136
1347 4934 8490
8845
2067 5647 9198
0611 4122 7604
0963 4471 7951
1315 4820 8298
1667 5169 8644
2018 5518 !l99O
2370 5866 9335
2721 6215 9681
4487
4828
5169
8565
5510 8903
5851 9241
6191 9579
6531 9916
5278 8595
5611 8926
0
1
2
079181
9513
9904
082785 6360 9905
6716
3503 7071
8
- - -13i44 - -
--093422
0258
6910
3772 7257
100371 3804 7210
0715 4146 7549
110590
0926
1263
3943 7271
427i 7603
4611 7934
---- -
(No. 134 L. 130.
8
7
I9
8
i1707 5291
c--i----2426
9552
300 357 356
3071 6562
352 349
0026 3462 6871
346 343 341
-1599- -1934- -2270- ~ -2940- -3275- 0253 3609
338
1
6004
--
- - ---- -----1059 1403 1747 2091 2434 2777 3119 7888
- - - - -- -
8227
4944 82fiS
5943 9256
6276 9586
6608 9915
--
- - - - - - -- - - - - - - - - -- 120574 3852 7105 13
0903 4178 7429
Dill.
1231 4504 7753
1560 4830 8076
1888 5156 8399
2216 5481 8722
2544 5806 9045
2871 6131 9368
3198 6456 9690
335
6940
333
0245 3525 6781
330 328 325
0012
323
---
PROPORTIONAL PARTS.
DUl.
1
354 353 352 351
35.4 35.3 35.2 35.1 35.0 34.9 34.8 34.7 34.6 34.5 34.4 34.3 34.2 34.1 34.0 33.9 33.8 33.7 33.6 33.5 33.4 33.3 33.2 33.1 33.0 32.9 32.8 32.7 32.6 32.5 32. 4 32.3 32.2
2
3
4
5
6
7
8
9
106.2 105.9 105.6 105.3 105.0 104.7 104.4 104.1 103.8 103.5 103.2 102.9 102.6 102.3 102.0 101. 7 101.4 101.1 100.8 100.5 100.2 99.9 00.6 00.3 00.0 98.7 98.4 98.1 97.8 97.5 97.2 96.9 96.6
141.6 141.2 140.8 140.4 140.0 139.6 139.2 138.8 138.4 138.0 137.6 137.2 136.8 136.4 136.0 135.6 135.2 134.8 134.4 134.0 133.6 133.2 132.8 132.4 132.0 131. 6 131. 2 130.8 130.4 130.0 129.6 129.2 128.8
177. 0 176.5 176.0 175.5 175.0 174.5 174.0 173.5 173.0 172.5 172. 0 171.5 171.0 170.5 170.0 169.5 169.0 168.5 168.0 167.5 167.0 166.5 166.0 165.5 165.0 164.5 164.0 163.5 163.0 162.5 162.0 161.5 161.0
212.4 211.8 211.2 210.6 210.0 209.4 208.8 208.2 207.6 207.0 206.4 205.8 205.2
247.8 247.1 246.4 245.7 245.0 244.3 243.6 242.9 242.2 241.5 240.8 240.1 239.4 238.7 238.0 237.3 236.6 235.9 235.2 234.5 233.8 233.1 232.4 231.7 231.0 230.3 229.6 228.9 228.2 227.5 226.8 226.1 225.4
283.2 282.4 281.6 280.8 280.0 279.2 278.4 277.6 276.8 276.0 275.2 274.4 273.6 272.8 272.0 271.2 270.4 269.6 268.8 268.0 267.2 266.4 265.6 264.8 264.0 263.2 262.4 261.6 260.8 260.0 259.2 258.4 257.6
318.6 317.7 316.8 315.9 315.0 314.1 313.2 312.3 311.4 310.5 309.6 308.7 307.8 306.9 306.0 305.1 304.2 303.3 302.4 301.5 300.6 299.7 298.8 297.9 297.0 296.1 295.2 294.3 293.4 292.5 291.6 290.7 289.8
- - - - - - - - - - - - - - - - - - - --- ---355- - 71.0 106.5 142.0 177.5 248.5 284.0 319.5 35.5 213.0
350 349 348 347 346
345 344 343 342 341 340 3.19
338 337 336
335 334
333 332 331
330 329 328 327 326 325 324 323
322
70.8 70.6 70.4 70.2 70.0 69.8 00.6 69.4 69.2 69.0 68.8 68.6 68.4 68.2 68.0 67.8 67.6 67.4 67.2 67.0 66.8 66.6 66.4 66.2 66.0 65.8 65.6 65.4 65.2 65.0 64.8 64.6 64.4
174
~.6
204.0 203.4 202.8 202.2 201.6 201.0 200.4 199.8 100.2 198.6 198.0 197.4 196.8 196.2 195.6 195.0 194.4 193.8 193.2
TABLE lO.-LOGA.RITHMS OF NUMBERS. [No. 149 L. 175.
No. 135 L. 130.]
N. 135 6 7 8 9 140 1 2 3 4 5 6 7 8 9
o
1
II
• I
8
130334 0655 0077 3539 3858 4177 6721 7037 7354 9879 I-- - - 0194 0508 143015 3327 363S 6128 6438 6748 9219 9527 9835 -----152288 2594 2900 5336 5640 5943 ~ 8664 8965 161368 1667 1967 f353 4650 4947 7317 7613 7908
1619 '11939 4814 5133 7987 8303
0822 3951 7058
1136: 1450 4574 7367 7676 -04491 0756 3510 3815 6549 6852 9567 I 9868 2564' 2863 5541 5838 8497 8792
0142 3205 6246 9266 2266 5244 8203
6
7
8
1/
DiU.
2200
2580
2900
321 318 316
6
1298 4496 7671
42631
5451 8618
5769 8934
6086 9249
3219 6403 9564
1763 4885 7985
2076 5196 8294
2389 5507 8003
2702 5818 8911
314 311 309
1063 4120 7154 0168 3161 6134 9086
1370 4424 7457 0469 3460 6430 9380
1676 4728 7759 0769 3758 6726 9674
1982 5032 8061 1068 4055 7022 9968
307 305 303 301 299 297 295
2019 4932
2311 5222
2003 5512
2895 5802
293 291
----f----- ---------170262 3186
0555 3478
0848 3769
1141 4060
1434 4351
1726 4641
PROPORTIONAL PARTS.
Diff. 321 320 319 318 317 316 316 314 313 312 311 310 309 308 307 306 305 304 303
302 301 300 299 298
297 296
296 294 293 292 291 200 289
288 287 286
1 32.1 32.0 31.9 31.8 31. 7 31.6 31.5 31.4 31.3 31.2 31.1 31.0 30.9 30.8 30.7 30.6 30.5 30.4 30.3 30.2 30.1 30.0 29.9 29.8 29.7 29.6 29.5 29.4 29.3 29.2 29.1 29.0 28.9 28.8 28.7 28.6
2 64.2 64.0 63.8 63.6 63.4 63.2 63.0 62.8 62.6 62.4 62.2 62.0 61.8 61.6 61.4 61.2 61.0 60.8 60.6 60.4 60.2 60.0 SO. 8 59.6 so. 4 69.2 59.0 58.8 58.6 58.4 58.2 58.0 57.8 67.6 57.4 67.2
-
3 96.3 96.0 95.7 95.4 95.1 94.8 94.5 94.2 93.9 93.6 93.3 93.0 92.7 92.4 92.1 91.8 91.5 91.2 00.9 00.6 00.3 00.0 89.7 89.4 89.1 88.8 88.5 88.2 87.9 87.6 87.3 87.0 86.7 86.4 86.1 85.8
4
_5_'_6_
128.4 128.0 127.6 127.2 126.8 126.4 126.0 125.6 125.2 124.8 124.4 124.0 123.6 123.2 122.8 122.4 122.0 121.6 121.2 120.8 120.4 120.0 119.6 119.2 118.8 118.4 118.0 117.6 117.2 116.8 116.4 116.0 115.6 115.2 114.8 114.4
160.5 160.0 159.5 159.0 158.5 158.0 157.5 157.0 156.5 156.0 155.5 155.0 154.5 154.0 153.5 153.0 152.5 152.0 151.5 151.0 150.6 150.0 149.5 149.0 148.5 148.0 147.5 147.0 146.5 146.0 145.5 145.0 144.6 144.0 143.5 143.0
175
192.6 192.0 191.4 190.8 100.2 189.6 189.0 188.4 187.8 187.2 186.6 186.0 185.4 184.8 184.2 183.6 183.0 182.4 181.8 181.2 180.6 180.0 179.4 178.8 178.2 177. 6 177.0 176.4 175.8 175.2 174.6 174.0 173.4 172.8 172.2 171.6
7
8
9
224.7 224.0 223.3 222.6 221.9 221.2 220.5 219.8 219.1 218.4 217.7 217.0 216.3 215.6 214.9 214.2 213.5 212.8 212.1 211.4 210.7 210.0 209.3 208.6 207.9 207.2 206.5 205.8 205.1 204.4 203.7 203.0 202.3 201.6 200.9 200.2
256.8 256.0 255.2 254.4 253.6 252.8 252.0 251.2 256.4 249.6 248.8 248.0 247.2 246.4 245.6 244.8 244.0 ·243.2 242.4 241.6 240.8 240.0 239.2 238.4 237.6 236.8 238.0 235.2 234.4 233.6 232.8 232.0 231.2 230.4 229.6 228.8
288.9 288.0 287.1 286.2 285.3 284.4 283.5 282.6 281.7 280.8 279.9 279.0 271(.1 277. 2 276.3 275.4 274.5 273.6 272.7 271.8 270.9 270.0 269.1 268.2 267.3 286.4 265.6 264.6 263.7 262.8 261.9 261.0 260.1 259.2 258.3 257.4
TABLI: 10.-LOGARITHMS OF NUMBEBS. No. 150 L. 176.] N. 150 1 2 3 4 5 6 7 8 9 160 1 2 3 4 5 6 7 8 9
[No. 169 L. 230.
0
1
170091 8977
6381 9264
8
II 6670 9552
I_li_
4
6959 9839
- - - - - - -- -
S
7
8
» 8689
289
1558 4407 7239
251 285 283
2846 5623
281 279 278 276
7248
7536
7825
8113
8401
0413 3270 610S 8928
0699 3555 6391 9209
0986 3839 6674 9490
1272 4123 6956 9771
1730 4514 7281
2010 4792 7556
2289 5069 7832
2567 5346 8107
0029 2761 5475 8173
0303 3033 5746 8441
0850 3577 6286 8979
3518 6166
3783 6430 9060
0577 3305 6016 8710 I1388 4049 6694 9323
- - - - - - - - - -- -
181844 4691 7521
2129 4975 7803
2415 5259 8084
2700 5542 8366
0126 2985 5825 8647
190332 3125
0612
5900
6176 8932
0892 3681 6453 9206
1171 3959 6729 9481
1451 4237 7005 9755
- - - - -- -- - - - - - - - - -- 8657
3403
- - - - -- - - - - 7365
2488 5204 7904
2454 5109 7747
2720 5373 8010
2986 5638 8273
3252 5902 8536
8798
0370 2976 5568 8144
0631 3236 5826 8400
0892 3496 6084 8657
1153 3755 6342 8913
1414 4015 6600 9170
1670 4391 7096 9783
1943
212188 4844 7484
22010S .2716 5309 7887 23
4663
- -- - - - - - - - - -- - 0051 0319 0586 0853 1121 - - - - - - - - -- -
-00518382
- -- - - - - - - -
2216 4934 7634
201397 4120 6826 9515
DlH.
1675 4274
6858 9426
1926 4533 7115 9682
1124
3848 6556 9247
-1654- -19214314 6957 9585
4579 7221 IlIWl
2196 4792 7372 9938
2456 5051 7630
274 272 271
269 267 266 264
262 261 259
-0193-
258 256
PROPORTIONAL PARTS.
DIH.
1
2
3
4
5
6
7
8
9
113.6 113.2 112.8 112.4 112.0 111.6 111.2 110.8 110.4 110.0 109.6 109.2 lOS. 8 lOS. 4 108.0 107.6 107.2 106.8 106.4 106.0 105.6 105.2 104.8 104.4 104.0 103.6 103.2 102.8 102.4 102.0
142.0 141. 5 141.0 140.5 140.0 139.5 139.0 138.5 138.0 137.5 137.0 136.5 136.0 135.5 135.0 134.5 134.0 133.5 133.0 132.5 132.0 131. 5 131.0 130.5 130.0 129.5 129.0 128.5 128.0 127.5
170.4 169.8 169.2 168.6 168.0 167.4 166.8 166.2 165.6 165.0 164.4 163.8 163.2 162.6 162.0 161.4 160.8 160.2 159.6 159.0 158.4 157.8 157.2 156.6 156.0 155.4 154.8 154.2 153.6 153.0
198.8 198.1 197.4 196.7 196.0 195.3 194.6 193.9 193.2 192.5 191.8 191.1 190.4 189.7 189.0 188.3 187.6 186.9 186.2 185.5 184.8 184.1 183.4 182.7 182.0 181.3 180.6 179.9 179.2 178.5
227.2 226.4 225.6 224.8 224.0 223.2 222.4 221.6 220.8 '220.0 219.2 218.4 217.6 216.8 216.0 215.2 214.4 213.6 212.8 212.0 211.2 210.4 209.6 208.8 208.0 207.2 206.4 205.6 :kl4.8 :a:l4.0
255.11 254.7 253.8 252.9
- - - - - - - - - --- - - - --- - - - - - ---:l85 28.5 57.0 85.5 114.0 142.5 171.0 199.5 228.0 256.5 284 283
282 :lSI 280 279 278 277 276 275 274 273 272 271 270 269 268 267
266 2M 264 263 262 261 260 259
258
257
256 255
28.4 28.3 28.2 28.1 28.0 27.9 27.8 27.7 27.6 27.5 27.4' 27.3 27.2 27.1 27.0 26.9 26.8 26.7 26.6 26.5 26.4 26.3 26.2 26.1 26.0 25.9 25.8 25.7 25.6 25.5
56.8 56.6 56.4 56.2 56.0 55.8 55.6 55.4 55.2 55.0 54.8 54.6 54.4 54.2 54.0 53.8 53.6 53.4 53.2 53.0 52.8 52.6 52.4 52.2 52.0 51.8 51.6 51.4 51. 2 51.0
85.2 84.9 84.6 84.3 84.0 83.7 83.4 83.1 82.8 82.5 82.2 81. 9 81.6 81.3 81.0 80.7 80.4 80.1 79.8 79.5 79.2 78.9 78.6 78.3 78.0 77.7 77.4 77.1 76.8 76.5
176
252.0 251.1 250.2 249.3 248.4 247.5 246.11 245.7 244.8 243.9 243.0 242.1 241.2 240.3 239.4 238.6 237.6 236.7 235.8 234.9 234.0 233.1 232.2 231.3 230.4 229.5
TABLE lO.-LOGAJUTHMS OF NUIIIBBB8. (No. 189 L. 278.
No. 170 L. 230.) N.
1
0
----170 1 2 3 4 5 6 7 8 9 180 1 2 3 4 5 6 7 8 9
230449 2996
5528
8046
I
8
It
II
1
8
0704 32SO 5781 8297
0960 3504 6033 8&18
3286 5700 8219
3534 6006 8464
3757 6285 8799
4011 6537 9049
4264 -4517 6789 7041 9299 9550
4770 7292
3782
4030 6499 8954
4277 6745 9198
4525 6991 9443
4772 7237
1395
1881 4306 6718 9116
2125 4548 6958
9800
5023 7544 ~
-1048 --1297 --1546- -1795- -2044- -2293- 0050 ---2541 240549 0799 3038 6613 7973
0664
-0908
3096
3338
6614 7918
5755 8158
---- 250420 2853 5273 7679
.
6252 8709
1151 3580 5996
2688 5054
7406 9746
2925 5290 7641 9980
8398
623Y 8637
1638 4064 6477 8877
0787 3162 5525 78l'5
1025 3399 5761 8110
1263 3636 5996 8344
2770 5081 7380
3001 5311 7609
3822
-- - - - 0213 --2538 271842 2074 2306 4158 6462
DlH.
5276 7795
252
4389 ~
~53
--
0300. 250 2790 249 6266: 248 7728 246
S019 7482 9932
--
9355
2388 4790 7198 9594
6031 7439 9833
242 241 239
3873 6232 8578
1739 4109 6467 8812
1976 4346 6702 9046
2214 4582 6937 ~79
238 237 235 234
3233 5542 7838
3464 5772 8067
3696
3927 6232 8525
233 232 230 229
9687
- - - - - - - - - - - - 0176 245
-0310 -I0548 --260071 2451 4818 7172 9513
9
" -"- - - - - - - -- - -1215 1470 1724 1979 2234 2488 2742 255
-- --
4850 7151
4620 ~1
-1SOl-
2610
~43
-0446- -0679- -0912- -1144- -1377- -16096002 8296
PROPORTIONAL PARTS.
Dill.
1
2
3
4
5
6
7
8
9
- - - - - - - - - - - --- - - - - - - --- --- - - 255 254 253
252 251
250
249 248 247 246 245 244 243 242 241 240 239 238 'JZ1 236 235 234
233 232 231 230 229
228 227 226
25.5 25.4 25.3 25.2 25.1 25.0 24.9 24.8 24.7 24.6 24.5 24.4 24.3 24.2 24.1 24.0 23.9 23.8 23.7 23.6 23.5 23.4 23.3 23.2 23.1 23.0 22.9 22.8 22.7 22.6
51.0 76.5 SO. 8 76.2 SO. 6 75.9 SO.4 • 75.6 SO. 2 75.3 SO. 0 75.0 49.8 74.7 49.6 74.4 49.4 74.1 49.2 73.8 49.0 73.5 48.8 73.2 48.6 72.9 48.4 72.6 48.2 72.3 48.0 72.0 47.8 71.7 47.6 71.4 47.4 71.1 47.2 70.8 47.0 70.5 70.2 46.8 46.6 69.9 46.4 69.6 46.2 69.3 46.0 69.0 45.8 68.7 45. 6 68.4 45.4 68.1 45.2 67.8
41479-1()--12
102.0 101.6 101.2 100.8 100.4 100.0 99.6 99.2 98.8 98.4 98.0 97.6 97.2 96.8 96.4 96.0 95.6 95.2 94.8 94.4 94.0 93.6 93.2 ~.8 ~.4 ~.O
91. 6 91.2 90.8 90.4
127.5 127.0 126.5 126.0 125.5 125.0 124.5 124.0 123.5 123.0 122.5 122.0 121.5 121.0 120.5 120.0 119.5 119.0 118.5 118.0 117.5 117.0 116.5 116.0 115.5 115.0 114.5 114.0 113.5 113.0
177
153.0 152.4 151.8 151.2 ISO. 6 ISO. 0 149.4 148.8 148.2 147.6 147.0 146.4 145.8 145.2 144.6 144.0 143.4 142.8 142.2 141.6 141.0 140.4 139.8 139.2 138.6 138.0 137.4 136.8 136.2 135.6
178.5 177.8 177.1 176.4 175.7 175.0 174.3 173.6 172.9 172.2 171.5 170.8 170.1 169.4 168.7 168. 0 167.3 166.6 165.9 165.2 164.5 163.8 163.1 162.4 161. 7 161.0 160.3 lSG.6 158.9 158.2
204.0 203.2 202.4 201.6 2XlD.8 2XlD.O 199.2 198.4 197.6 196.8 196. 0 195. 2 194.4 193.6 1~.8 1~.0
191.2 190.4 189.6 188.8 188.0 187.2 186.4 185.6 184.8 184.0 183.2 182.4 181.6 180.8
229.5 228.6 227.7 226.8 225.9 225.0 224.1 223.2 222.3 221.4 220.5 219.6 218.7 217.8 216.9 216.0 215.1 214.2 213.3 212.4 211.5 210.6 209.7 208.8 207.9 207.0 206.1 205.2 204.3 203.4
No. 190 L. 278.] N.
0
[No. 214 L. 332.
1
8
2
"
I)
1942 4205 6456
2169 4431 (;681
8
8
'1
DI1f.
II
- - - - - - - - - - - -- - - - ' - - - - - - - - 9211 9439 9667 9895 - - - 1110 278754 8982 ---- - - - - - - - - - - - - - 0123 0351 0578 0806 228 1 II
3 4 6
6 7 8
9
:lOll 12 3 4
281033 3301 5557 7802
1201 3527 5782
290035
1715 3979 6232 8473
0257 2478 4887 6884 9011
0480 2699 4907 7104 9289
0702 2920 5127 7323
1247 3412 5566 7710 9843
1464 3628 5781 7924
1966 4078 6180 8272
2396
227 226
9366
2849 3076 5107 5332 7354 75;8 9589 - 9812
1369 3584 5787 7979
1591 3804 6007 8198
1813 4025 6226 8416
2034
222
4246 6446 8635
221 220 219
0161 2331 4491
0378
~3
4706 0854 8991
0595 2764 4921 7068 9204
2980 5136 7282 9417
218 217 216 215 213
1118 3234 5340 7436 9522
1330 3445 5551 7646 9730
1542 3656 5760 785~
212 211 210 209
99.'!8
208
1598 _ 1805 3665 3871 5721 5920 7767 7972
2012 4077 6131 8176
205 204
4656 6905 9143
8696
8920
0925
9507
3141 5347 7542 9725
1147 3363 5567 nOl 9943
1681 3844 5996 8137
1898 4059 6211 8.'!51
2114 4275 6425 8564
8778
2177 4289 63IlO
2389 4499 6599
2600 4710
281 4920
3023 5130
7018
7m
8~1
8689
9106
9314
0354
0562
2426
2633 4694 6745 1!187
0977 3046 6106 7155
8386
4488 6541 8583
0769 2839 4899 6950 899l
919~
1184 3252 5310 7359 9398
1391 3458 5516 756.1 0001
330414
0617
OS19
1022
1225
1427
! 1630
2022 4882 7130
- - - --- - - - --- - - - - - - - - - - - 2256
4466 6665 8853
--301030 3196 5351 7496 9630
6 6 7 8
311754 3867 5970
9 210 1 2 3
320146 2219 4282 -6336
4
8026
1488 3763 6007 8249
--
8063
-I-
---- - - -
-0056 --0268 - -04816809 8898
-- ---- --
lr 6(l39
2547
--- - - ---
980.'!
- - - - --- - -- - --,_.- - 1832
207
206
- - --0211 2236
0008 2034
225 223
209
202
PROPORTIONAl, PARTS.
DIll.
1
2
22.5 22.4 22.3 22.2 22.1 22.0 21.9 21.8 21.7 21.6 21.5 21.4 21.3 21.2 21.1 21.0 20.9 20.8 20.7 20.6 20.6 20.4 20.3 20.2
45.0 44.8 44.6 44.4 44.2
3
- - --- --- --225 224 223
222 221
220 219 218 217 216 215
214 213 212 211 210
209 208 207
206 205 204
203
202
44.0 43.R 43.6 43.4 43.2 43.0 42.8 42.6 42.4 42.2 42.0 41.8 41.6 41. 4 41.2 41.0 40.8 40.6 40.4
07.5 67.2 66.9 66.6 (>6.3 66.0 65.7 65.4 65.1 64.8 64.5 64.2 63.9 63.6 63.3 63.0 62.7 62.4 62.1 61.8 61.5 61.2 60.9 60.6
--- - - - - - - - - - - - - - - 4 .
5
6
7
8
9
90.0 89.6 89.2 88.8 88.4 88.0 87.6 87.2 86.8 86.4 86.0 85.6 85.2 84.8 84.4 84.0 83.6 83.2 82.8 82.4 82.0 81.6 81.2 80.8
112.5 112.0 111.5 111.0 110.5 110.0 109.5 109.0 lOS. 5 lOS. 0 107.5 107.0 106.5 106.0 105.5 105.0 104.5 104.0 103.5 103.0 102.5 102.0 101.5 101.0
135.0 134.4 133.8 133.2 132.6 132.0 131.4 130.8 130.2 129.6 129.0 128.4 12'1.8 127.2 126.6 126.0 125.4 124.8 124.2 123.6 123.0 122:4 121.8 121.2
157.5 156.8 156.1 155.4 154.7 154.0 153.3 152.6 151.9 151. 2 150.5 149.8 149.1 148. 4 147.7 147.0 146.3 145.6 144.9 144.2 143.5 142.8 142.1 141.4
180.0 179.2 178.4 177. 6 176.8 176.0 175.2 174.4 173:6 172:8 172.0 171. 2 170.4 169.6 HiS. 8 168: 0 167.2 166.4 165.6 164.8 164.0 163.2 Hill. 4 161.6
202.6 201.6 200.7 199.8 198.9 198. 0 197.1 196.2 195.3 194.' 193.6 192.6
178
1~.7
1 .8 189.9 18\l.0 188.1 187.2 186.3 185.' 184.5 183.6 182.7 181.8
[No. 239 L. 380.
No. 215 L. 332.]
N.
0
J
2
8
4,
6
8
4655
48li6 6860 8855
3044 5057 7060 9054
3246 5257 7260 9253
5458 7459 9451
5658 7659 9650
7
8
II
6059 8058
&280 8257
Dltr.
--- - - - - - -- -- -- ---- -- --215 - -332438 3447 3649 2640 2842 4051 202 6 7 8 9
220 1 2 3 4 5 6 7 8 9
230 1 2 3 4 5 6 7 8 9
4454 6460 8456
6660
3850 5859 7858 9849
4253
201
--- - - - - - - - - - - - - - - -0047--0246340444 2423 4392 6353 8305
8656
0642
0841
1039
2620 4589 6549
3014 4981 6989
8500
2817 4785 6744 8694
2375 4301 6217 8125
2568 4493 6408 8316
8506
0025 1917 3800 5675 7542 9401
0215 2105 3988 5862 7729 9587
0404 2294 4176 6049 7915 9772
4363 6236 8101 9958
8287
3280 5115 6942 8761
3464 5298 7124 8943
3647 5481 7306 9124
3831 5664 7488
1237 3212 5178 7135 9083
1435
1632
1830
3409
3606
3802
5374 7330 9278
5570 7525 9472
5766 7720
3147
3339
3532
2028 3999
'196 6157 8110
3916 .5834 7744 9646
194 193 193 192 191 190
3424 5301 7169 9030
189 188 188 187 186
2225
5962 7915 9860
0054 - - - -- - - - - - - -- - - - ---350248 0442 0636 0829 1023 1216 1410 1603 1796 1989 2183 4108 6026 7935 9835 361728 3612 5488 7356 9216
--371068 2912 4748
6577 8398
8889
2761 4685 6599
2954 4876 6790 8696
5068 6981
8886
- -- -- - - -
1253
3096
0593
2482
1
0783 2671 4551 6423
5260 7172 9076
5452 7363 9266
3724 5643 7554 9456
2859
3048
3236
4739 6610 8473
4926 6796 8659
6113 6983 8845
0513
0698 2544 4382 6212 8034 9849
-0972- -1161--1350- -1539-
- -0328-1437 - -1622 - -1806- -0143 1991 2175
4932 6759
8580
9306
9666
4015 6846 7670 9487
- -- - 2360 4198
6029 7852
9666
38
200
199 198 197 196 195
0883 2728 4565 6394 8216
-0030-
185 184 184 183 182 181
PROPORTIONAL PARTS.
Ditf.
1
2
20.1 20.0 19.9 19.8 19.7 19.6 19.5 19.4 19.3 19.2 19.1 19.0 18. 9 18.8 18. 7 18.6 18.5 18.4 18.3 18.2 18.1 18.0 17.9
40.2 40.0 39.8 39.6 39.4 39.2 39.0 38.8 38.6 38.4 38.2 38.0 37.8 37.6 37.4 87.2 37.0 36.8 36.6 36.4 36.2 36.0 35.8
3
4
6
7
8
9
141.4 140.7 140.0 139.3 138. 6 137.9 137.2 136.5 135.8 135.1 134.4 133.7 133.0 132.3 131. 6 130.9 130.2 129.5 128.8 128.1 127.4 126.7 126.0 125.3
161.6 160.8 160.0 159.2 158.4 157.6 156.8 156.0 155.2 154.4 103.6 152.8 152.0 151.2 150.4 149.6 148.8 148.0 147.2 1«1.4 145.6 144.8 144.0 143.2
181.8 ISO. 9 180.0 179.1 178.2 177.3 176.4 175.5 174.6 113.7 172.8 171.9 171.0 110.1 1&9.2 168.3 167.4 1M.5 165. 6 164.7 163.8 162.9 162.0 161.1
- --- - - - - - - - - - - - - --- --- --- - -101.(1 20.2 40.4 60.6 121.2 20'~
201 200 199 198 197 196 11M 194 193 192 191 190 189 188 187 186 185 184 183 182 181
ISO 179
60.3 60.0 00.7 59.4 59.1 68.8 68.5 58.2 67.9 67.6 57.3 57.0 56.7 56.4
M.l 55.8 55.5 55.2 54.9 54.6 54.3 54.0 53.7
5
SO. 8 SO. 4 SO.O·
100.6 100.0 79.6 99.5 79.2 99.0 78.8 98.5 98.0 78.4 97.5 78. 0 97.0 77.6 77.2 96.5 7&.8 ' 96.0 7&.4 95.5 76.0 95.0 7S.6 94.5 75.2 94.0 74.8 lIS. 6 93,0 74.4 74.0 117.5 73.6 92.0 73.2 91. 5 72.8 91.0 72.4 90.5 72.0 90.0 71.6 89.5
179
120.6 120.0 119.4 118.8 118.2 117.6 117.0 116.4 116.8 11.'1.2 114.6 114.0 113.4 112.8 112.2 111.6 111.0 no. 4 109.8 109.2 108.6
loe.O 107.4
TABLE lO.-IA)CURITBIlS OF NUIIBKBS. No. 240 L. 3!ll.J N.
0
(No. 269 L. 43l. 1
I
240 1 2 3 4 5
6 7 8 9 250 1 2 3 4 5 6 7 8 9 260 1 2 3 4
5 6 7 8 9
380211 2017 3815 5606 7390 9166
0392 2197 3995 5785 7568 9343
• -- ---- -- -- --0934 f
II
- - --- - - - - - 0573 2377 4174
07M 2557
5964
6142 7924 9698
2737 4533 6321 8101 9875
1115 2917 4712 6499 8279
1296 3097 4891 6677 8456
4802 6548 8287
1464 3224 4977 6722 8461
0051 1641 1817 3400 1 3575 5152 ' 5326 6896 8634
0228 1993 3751 5501 7245 8981
0020 1745 3464 5176 6881 8579
0192 1917 3635 5346 7051 8749
0365 i 0538 2089 I 2261 3807 1 3978 5517 7221 8918 9087 1
I~
0711 2433 4149 5Il58
0271 1956 3635 5307 6973 8633
0440 2124 3803 M74 7139 8798
0609 ; 0777 2293 2461 3970 : 4137 5641 5808 7306 7472 8964 ,9129
0946
4353
7746 9520
--- - -I - - - - 390935 2697 4452 6199 7940 9674
1112 2873 4627 6374 8114 9847
401401 3121 4834 6MO 8240 9933
1573 3292 5005 6710 8410
1288
3048
---- -
411620
3300 4973 6641 8301 9956
--421604 3246 4882 6511 8135 9752 43
6
7
S
1476 3717 5070
1656 3456 5249 7034 8811
6856 8634
DI1!.
II
1837
181
3636
ISO
M28 7212 8989
179 178 178
0159 2521 4277 6025 7766 9501
177 176 176 175 174 173
1228 2949
173 172 171 171 170 169
----------
1=
0102 1788 3467 5140 6807 8467
I
0121 1768 3410 5045 6674 8297 9914
0616 i 0781 2261 i 2426 4065 3901 5534 5697 7161 7324 8783 8944 ------ -0075 0236 0398 0559
7561 9257
2629 4305 5974 7638 9295
0406 2169
0582
5676 7419 91M
2345 4101 5850 7592 9328
0883 2605 4320 6029 7731 9426
1056 2777 4492 6199 7901 9595
1114 2796 4472 6141 7804 9460
1283 2964 4639
1451 3132
6308 7970 9625
6474 8135 9791
169 168 167 167 166 165
1275 2918 4555 6186 7811 9429
1439 3082 4718 6349 7973 9591
165 164 164 163 162 162
3926
-
4663 6370 8070 9764
4806
- -- -- ----------- -0451 2097 3737 5371 6999 8621
0286 1933 3574 5208 6836 8459
0945 2590 4228 5860 7486 9106
1110 27M 4392 6023 7&'8
9268
-0720- -0881- -1042- -1203-
161
PROPORTIONAL PARTS.
Ditr.
1
2
3
4
5
6
7
8
9
- - - - - - - - --- - - - - - - - - - - - - - - - - 178 177 176 175 174 173 172 171 170 169 168 167 166 165 164 163 162 161
17.8 17.7 17.6 17.5 17.4 17.3 17.2 17.1 17.0 16.9 16.8 16.7 16.6 16.5 16.4 16.3 16.2 16.1
35.6 35.4 35.2 35.0 34.8 34.6 34.4 34.2 34.0 33.8 33.6 33.4 33.2 33.0 32.8 32.6 32.4 32.2
53.4 53.1 52.8 52.5 52.2 51.9 51.6 51.3 51.0 50.7 50.4 50.1 49.8 49.5 49.2 48.9 48.5 48.3
71.2 70.8 70.4 7Q.0 69.6 69.2 68.8 68.4 68.0 67.6 67.2 66.8 66.4 66.0 65.6 65.2 64.8 64.4
ISO
89.0 88.5 88.0 87.5 87.0 86.5 86.0 85.5 85.0 84.5 84.0 83.5 83.0 82.5 82.0 81. 5 81.0 BO.5
106.8 106.2 105.6 105.0 104.4 103.8 103.2 102.6 102.0 101.4 100.8 100.2 99.6 99.0 98.4 97.8 97.2 96.6
124.6 123.9 123.2 122.5 121.8 121.1 120.4 119.7 119.0 118.3 117.6 116.9 116.2 115.5 114.8 114.1 113.4 112.7
142.4 141.6 140.8 140.0 139.2 138.4 137.6 136.8 136.0 135.2 134.4 133.6 132.8 132.0 131.2 130.4 129.6 128.8
160.2 159.3 158.4 157.5 156.6 155. 7 1M.8 153.9 153.0 152.1 151. 2 150.3 149.4 148.5 147.6 146.7 145.8 144.9
'fA.BLE to.-LOGA.RITHMS OF NUMBERS. No. 270 L. 431.]
\I
t
0
N.
[No. 299 L. 476.
3
"
----- - -- - - - -270 1 2 3 4 6 6 7 8 9
431364 2969 4569 6163 7751 9333
1525 3130
1685
~729
6322 7909 9491
1846
3200
3450
4888 6481 8067
5048
6640 8226 9806
9648
~40909
67M 7313 8861
2 450249 3 1786 3318 4 5 4845 6366 6' 7 1 7882 9392 8
0403 1940 3471 4997 6518 8033 9543
.0557 2093 3624 6150 6670 8184 9694
lTlll 2247 3777 5302 6821 8336 9845
460898
1048 2548 4042 5532 7(116
1198
1348 2847 4340 5829 7312 8700
1
9 290 1 2 3 4 5· 6 7 8 9
2480 4045 6604 7158 8706
1066 2637
3930 5526 7116 8701
1538 1695 3106 3263 4669 ' 4825 6226 7778 9324 9478
1852 3419
~
9964
~201
1381
2950 4513 6l1l1 7623 9170
8
3770 5367 6957 8542
- - - - - - -- - - 1224 2793 4357 5915 7468 9015
280
2007 3610 5207 6799
,;
8
7
4090
4409
4249
5685 7275 8859
5~4
6004
7433 9017
7592 9175
2009
2166 3732 5293 6848 8397 9941
3889 5449 7003 8552
2400 3930 5454 6973 ~87
9995
- - - - - - -- - - 2398 3893 5383
6868 8347
~95
9822
9969
---- 471292 2756 4216 5671
2697 ~191
5680 7164 8643
--
1438 2903 4362 5816
0116 1585 3049 4508 5962
1499
2997 4400 5977 7460 8938
2323
1=
8088 9633
3576 5137 6692 8242 9787
1018 2553 4082 5606 7125 8638
1172 2706 4235 5758 7276 8789
1326 1479 2859 3012 4387 4540 5910 .6062 7428 7579 8940 9091
1633 3165
0146 1649 3146 4639 6126 7608
0296
lTl48· 2248 3744 5234 6719
0085
9233
0447 1948 3445 4936 6423 7904 9380
~981
6537
--
3296 4788 6274 7756
1878 3341 4799 6252
2025 3487 4944 6397
2171 3H33 5000 6542
2318 3779 5235 6687
158 157 157 156 155 155
154 154 153· 4692 153 6214 152 7731 152 9242. 151
---------1799
168
0095
0697 2098 3594 5085 6571 8062 9527
8200
-0263 - -O4lO- -0557- -lTlO4- -0851- ._0998 1732 3195 4653 6107
160 159 159
-0122- -0279--0437--0694--lTl52-
- - - - -- - - - - - - - - - - - - 0865
Dill.
9
-2167- -2328- -2488- -2649- -2809- -161-
9675
151 150
150 149 149 148 148
-~
2464 3925 5381
6832
1145 2610 4071 5526 6976
147 146 146 146 145
PROPORTIONAL PARTS.
Dill.
1
2
3
16.1 16.0 15.9 15.8 15.7 15.6 15.5 15.4 15.3 15.2 15.1 15.0 14.9 14.8 14.7 14.6 14.5 14.4 14 3 14.2 14.1 14.0
32.2 32.0 31.8 31.6 31.4 31.2 31.0 30.8 30.6 30.4 30.2 30.0 29.8 29.6 29.4 29.2 29.0 28.8 28.6 28.4 28.2 28.0
48.3 48.0 ~7. 7 47.4 47.1 46.8 46.5 46.2
5
4
6
- - --- --- --- --- --- - 161 160 159 158 157 156 155 154 153 152 151 150 149 148 147 146 145
IH 142 142 141 140
~5.9
45.6 45.3 45.0 44.7 44.4 44.1 43.8 43.5 43.2 42.9 42.6 42.3 42.0
64.4 64.0 63.6 63.2 62.8 62.4 62.0 61.6 61.2 60.8 60.4 60.0 59.6 59.2 58.8 58.4 58.0 57.6 57.2 56.8 M.4 56.0
181
SO. 5 so. 0 79.5 79.0 78.5 78.0 77.5 77.0 76.5 76.0 75.5 75.0 74.5 74.0 73.5 73.0 12.6 72.0 71.5 71.0 70.5 70.0
96.6 96.0 95.4 94.8 94.2 93.6 93.0 92.4 91.8 91.2 00.6 00.0 89.4 88.8 88.2 87.6 87.0 86.4 85.8 85.2 84.6 ~.O
7 112.7 1l2.0 111.3 110.6 109·9 109.2 108.5 lO7.8 107.1 106.4 106.7 106.0 104.3 103.6 102.9 102.2 101.5 100.8 100.1 99.4 98.7 98.0
8
9
128.8 128.0 127.2 126.4 125.6 124.8 124.0 123.2
144.9 144.0 142.1 142.2 141.3
--- ---
122.~
121.6 120.8 120.0 119.2 118.4 117.6 116.8 1l6.0 115.2 114.4 113.6 1l2.8 112.0
140.~
139.5 138.6 137.7 136.8 135.9 135.0 134.1 133.2 132.3 131.4 130.5 129.6 128.7 127:8 126. 9 126.0
No. 300 L. 477.]
[No. 339 L. 631.
N.
0
1
\I
a
~
477121
7266 8711
7411
7565
1
8566
.2
.480007 1443 2874 4300 5721 7138 8551 9958
..3 .5 6 .7 8 9
---
310
~Q1362
1
2760 4155 5044 &930 8311 9687
2 3 4 5 6 7 8 9
8855
8999
7280 8692
0294 1729 3159 4585 6005 7421 8833
1872 3302 4727 ,6147 7563 8974
0099
0239
0380
1500
1642
1782 3179 4572
0151 1586 8016 4442 5863
1 2 3
4 5 6 7 8 9
2 3 4
2900
3040 4433
4294
.'i683
5822
7068 8448 9824
7206
8586
991\2
9
Ii960 7344 8724
7700 9143
7844 9287
7989 9431
8133 9575
0582 2016 3445 4869 6289 7704 9114
0725 2159 3587 5011 6430 7845 9255
0869 2302 3730 6163 6572 7986 9396
1012 2445 3872 5295 6714 8127 9637
9677
0520 1922 3319 4711 6099 7483 8862
0661 2062 3458
0801 2201 3597 4989 6376 7759 9137
0941 2341' 3737 5128 6515 7897 9275
1081 2481 3876 5267 6653 8035 9412
0374 1744 3109 4471 5828 7181
0511 1880 3246
0648 2017 3382 4743
0785
8630
8664
0099
1333 2700
4063
1470 2837 4199
6150 6505 7856
6286 6640 7991 9337
04:.11 6776 8126 9471
5557 6911 8260 9606
9828
0679 2017 3351 4681
6006 7328 8646 9959
--- - -
4850 6238 7621 8999
0236 1607 2973 4335 5693 7046 8395 9740
9874
0813 2151 3484 4813 6129 7460
0947 2284 3617 4946 6271 7592
8777
8900
1081 2418 3750 5079 6403 7724 9040
0090
0221 1630
0353 1661
1792
2835
2966 4266
3096 4396 5693 6985 8274
1216 2551
3883 5211 6535 7855 9171
4607 5964 7316
0009
1156
2588 4015
Ii437 6855
8269
6099 7451 8799
1299 2731 4157 5579 6997 8410 9818
144 143 143 142 142 141 141
1222 2621 4015
140 140 139 139 139 138 138
9550
0922 2291 3655 5014 6370 77:.11
9068
0277 1616 2951 4282
1349 2684 4016 5344 6668 7987 9303
Ii609
0745 2053 3356 4656 6951 7243 8531 9815
0876 2183 3486 4785 6081 7372 8660 9943
1096
7630 8917
4136 0434 6727 8016 9302
5563 6856 8145 9430
9559
0616 1922 3226 4526 5822 7114 8402 9687
530200
0328
0456
0584
0712
0840
0968
1
2
- - - - - - -- - - - - - - -
137 137 136 136 136 135 135
0411 134 1750 134 3084 133 4415 .133 5741 133 7064 132 8382 132 9697 131
6932 8251 9566
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8422 9863
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1269 2576 3876 6174 6469 7759 9046
521138 2444 3746 5045
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131 131 130 130 1211 129 129
0072 1351
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PROPORTIONAL PARTS.
D.Uf, .
3
5
4
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7
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1.86 135
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132
131 180
129
128 l2.7
13.8 13.7 13.6 13.6 13.4 13.3 13.2 13.1 13.0 12.9 12.8 12.7
27.6 27.4 27.:.1 27.0 26.8 26.6 26.4 26.2 26.0 25.8 25.6 25.4
41.4 41.1 40.8 40.6 40.2 39.9 39.6 39.3 39.0 38.7 38.4 88.1
55.2 54.8
54.4
04.0 53.6 53.2 52.8 62.4 52.0 61.6 61. 2 60.8
18.2
69.0 08.5 68.0 67.6 67.0 66.5 66.0 65.5 65.0 64.6 64.0 63.6
82.8 82.2 81.6 81.0 80.4 79.8 79.2 78.6 78.0 77.4 76.8 76.2
96.6 95.9 95.2 94.6 93.8 93.1 92.4 91. 7 91.0 90.3 89.6 88.9
8 111.2 110.4 109.6 108.8 108.0 107.2 106.4 10,';.6 104.8 104.0 103.2 102.4 101.6
9
125.1 124.2 123.3 122.4 121.6 120.6 119.7 118.8 117.9 117.0 116.1 115.2 114.3
No. 340L. 531.) N.
0
1
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631479 2754 4026
1607
5294 7819 9076
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0455 1704
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2245 3518 4787 6053 73]..'; 8574 9829
0955 2203 3447 4688 5925 7159
lOBO 2327 3571 4812 6049 7282 8512 9739
1990 3254 4534
58iJo
7063
8322
4192 5431
ti666
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0580
0705 1953 3199 4440 5678 6913 8144 9371
9578
1829 3074 4316 5555 6789
8J21 9249
0830 2078
3323 4554
5S02 7036 82679494
8389 9616
2372 3545 4914 6180 7441
2500 3772
2627
3899
roll
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6306
6432 7693 8951
7567 8825
8699
-- - - - -
6303
7507 8709 9907
---
5 6 7 8 9 370 1 2
56110l
2293
3481 4666 5848 7026
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570543 1709 2872 4091 5188 6341 7492
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8829
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6544 7748 8948
7868 9068
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5966
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0660 1825 2988 4147
5303 5457 1007 8754
0146 1340 2531 3718 4903 6084 7262 8436 9608
0776 1942 3104 4263 5419 6572 7722
6ti64
0717 1938 3155 4368 5578 6785 7988 9188
084Q 2060 3276 4489
2181 3398 4610
5699
5820
6905 810S 9308
7026 8228 9428
0385 1578 2769 3955 5139 6320 7497 8671 9842
0504 1698
0624 1817 3006 4192 5376 6555 7732 8905
0743 1936 3125 43U 5494 6673 7849
0962
128 127 127 126 126 126
9954
0204
0079 1330 2576
3820 5060 6296 7529 8758
9984
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,
8 9 8 7 -- -- -- -. 2- -8- - - -Ii- --
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[No. 379 L. 579.
1084
2303 3519 4731 5940 7146 8349 9548
123 123
0106 1328 2547 3762 4973 6182
123 122 122 121 121 121
7387
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1206 2425 3540 4852 6061 7267 84Ii9 9667
125 125 125 124 124 124
1454 2701 3944 5183 5419 7652 8881
8S89
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8554 9725
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8868
1010 2174 3336 4494
5650 5S02 7951 9097
2887 4074 5257 5437 7614 8788 9959 1126 2291 3452 4610 5765 6917
8066 9212
9787
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21.74 3362 4548 5730
6791 7967
8)84
119 119 lI9 119 lI8 118 118
9023
9140
9257
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0076 1243 2407 3568 4726
0193 1359 2523 3684 4841
0309
58BO 1'032 8181 9326
5996
0426 1592 2755 3915 5072 6226 7377
117 117 116 116 lI6 115 115 115 U4
2055 3244 4429
6909
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7147
8295 11441
1476 2639
3800 4951 6111 7262 8&10 9565
8525 9669
PROPORTIONAL PARTS.
Dill.
1
2
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124
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25.2 25.0 2f.8 24.6 24.. 4 24. 2 24.0 23.8
3
4
38.1 37.8 37.,'i 37.2 36.9 36.6 36.3 ;l6.0 35.7
50.8 50.4 00.0 49.6 49.2 48.8 f8.4
5
6
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76.2 75.6 75. 0 74.4 73.8 73.41 72.·6 72.0 71.4
88.9 88.2 87.5 86.8
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[No. 414 L. 617.
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8 I 610660 9 1723 410 2784 1 3842 2 4897 3 5950 : 4 7000
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1950 3085 4218 5348 6475 75911 8720
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0953 2066
8
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1608 2745 3879 5009 6137
7149 8272 9391
7262 8384 0619 1732 2843 3950
9228
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6157 7256 8353 9446
4061 5165 6267 7366 8462 9556
0319 1408 2494 3577 46.58 5736 6811 7884 8954
0428 1517 2603 3686 4766 5844 6919 7991 9061
0537 1625 2711 3794 4874 5951 7026 8098 9167
06461 1734 2819 3902 4982 6059 7133 8205 9274
0979
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2042
2148 3207 4264 5319 6370 7420
1192 2254 3313 4370 M24 6476 7525
1298 2360 3419 4475 5529 6.581 7629
1405 2466 3525 4581 6634 6686 7734
9503
112
9838
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3508
3397 4503 5606 6707 7805
8900 9992
0284 1399 2510 8618 4724 5827 6927 8024 9119
4614 5717 6817 7914 9009
0396
1510 2621 3729 4834 5937 7037 8134
5055
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1082 2169 3253 4334 M13 6489 7562
0101 1191 2277 3361 4442 5521
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4686 5740 6790 7839
106
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PROPORTIONAL PARTS.
DUI.
1
2
3
4
5
6
7
8
11.8 11.7 11.6 11.5 11.4 11.3 11.2 11.1 11.0 10.9 10.8 10.7 10.6 10.5 10.5 10.4
23.6 23.4 23.2 23.0 22.8 22.6 22.4 22.2 22.0 21.8 21. 6 21.4 21.2 21.0 21.0 20.8
35.4 35.1 34.8 34.5 34.2 33.9 33.6 33.3 33.0 32.7 32.4 32.1 31.8 31.5 31.5 31.2
47.2 46.8 46.4 46. 0 45.6 45.2 44.8 44.4 44.0 43.6 43.2 42.8 42.4 42.0 42.0 41.6
59.0 58.5 58.0 57.5 57.0 56.5 56.0 55.5 55.0 M.5 M.O 63.5 53.0 52.5 52.5 52.0
70.8 70.2 69.6 69.0 68.4 67.8 67.2 66.6 66.0 65.4 64.8 64.2 63.6 63.0 63.0 62.4
82.6 81. 9 81. 2 SO. 5 79.8 79.1 78.4 77.7 77.0 76.3 75.6 74.9 74.2 73.5 73.5 72.8
94.4 93.6 92.8 92.0 91. 2 90.4 89.6 88.8 88.0 87.2 86.4 85.6 84.8 84.0 84.0 83.2
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93.6
TA.BLB IO.-LOGA.RITHMS OJ' NUMBERS. , No. 415 L. 618.) 1
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1771 2761
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2835
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3869
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0123 1139 2153 3165
0224
0326 1242 2356
3268
3367
4175 5182 6187 7189 8190 9188
4276 6283
4376
9002
1951
3064
3973 4981 5986 6989
4074 5081
7990 8988 9984
8082
eos7 7089 8090 9088
104
103
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2963
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1072 2110 3146
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8888 9885
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8389 9387
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9432
0978 1970 2959 3946 4931 5913 6894 7872 8848 9821
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2800
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4044 5029 0011
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[No. 459 L. 662.
8
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3213 4177 5188
0098
4369
4465 6427
6386 7343 8298
8202
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0391
1245 2191
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2923
3791 4754 5715 6673 7629 8584
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1339
2286
9536 0486 1434
2380
1276
1375
2267
2366
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4242
4340 5324 6306 7285
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5226 62(1!
7187 8166 9140
82G2 9237
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0890
3598 4562 5523 6482 7438 8393 9346
4143 5127 6110 7089 8067 9043
1859
0793 1762 2730
2633
1177 2168 3156
0113 1084 2053 3019
0210 1181 21SO 3116
8888
3984
4850 5810 6769 7725 8679 9631
4946 6900
4080 6042 6002
7820 8774 9726
7916 8870 9821
1529 2475
1623 2569
2663
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6864
-0581--0676- -0771
97
96
95
1718
PROPORTIONAL PARTS.
3
4
5
6
7
8
9
- - --- --- - - - - - - --- - - - - - - --- - - 21.0 20,8 20.6 20.4 20.2 20.0 19.8
31.5 31.2 30.9 30.6 30.3 30.0 29.7
42. 0 41.6 41. 2 40.8 40.4 40.0 39.6
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51.5 61.0 SO.S 50. 0 49.5
63.0 62.4 61.8 61.2 00.6 00.0 59.4
73.6 72.8 72.1 71.4 70.7 70.0 69.3
84.0 83.2 82. 4 81.6 80.8 80.0 79.2
94.5 93.6 92.7 91.8 90.9 90.0 89.1
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78.3 77.&
jj8..8
'fAaLB H.-LOOA&lTBIIS OJ' NUMBEas. No. 500 L. 698.]
N. 1500 1 2 3 4 6 iI 7 8 9 610 1 2 3 4 5 6 7 8 9 520 1 2 3 4 6 6 7 8 9 530 1 2 3 4 5 6 7 8 9 540 1 2 3 4
0 698970
9057
9838
992!
700704 1568
0790
un
3291 4151 IiIXJ8
1654
2li17 3377 ~
6718 7670 8421 9270
6094 6949 6803 7666 8506 9366
710117
0202
0963
7671
1048 1892 2734 3576 4414 6251 6ff87 6921 7754
8502
8585
6864
a
_1_'_2_
6000 6838 9331
9414
5095
5912 6727 7541 8354
9165 9974
--730782 1689 2894 3197 3999 4800
6Ii99
9491
9578
9664
9317
9404
0008 0963 1827 2689 3M9
0184 1050 1913 2775
0271 1136 1999 2861 3721 4579 5436 6291 7144 7996
0358 0444 12"22 1309 2086 2172 2947 3033 3807 3893 4665 4751 6622 5607 6376 .6462 7229 1315 8(}81 8166 8846. 8931 9015 9694 9779 9863
3635
~
4494
6265 5350
6120 6974 7826 8676 9524
9440 0287 1132 1976 2818 3659 4497 5335 6170 7004 7837 8668 9411'1
4358 5176 6993 6809 7623 8435 9246
6258 6075 6890 7704 8516 9327
0056
Ola6
1669 2474 3278 4079 4880 6679
8
9231
3538
(}863
1
9144
(}g25 1161 1975 2798 3620
0242 1068 1893 2716
II
0011 (}g77 1741 2003 3463 4322 6179 6035 6888 7740 8591
6206 7059 7911 8761
0371 1217 2060
9609
~~I
2144 2986 3826 4665 6502 6337 7171 8003 8834 9663
2902
3742 4581 5418 6254 7ff88 7920 8751 9580
0407 1233 2058 2881 3702 4522 63.40 6156 6972 7785 8597
4440
0490 1316 2140 2963 3784 4604
5422 6238 7053 7866 8678 9489
94(}8
-
9
Dill.
9751
3358 4160 4960 6759
0540 1385 2229 3070 3910 4749 6686 6421 7254 8917 9745
0531 1395 2258 3119 3979 4837 . 5693 6547 7400 8251 9100 9948
0617 1482 2344 3205 4065 ~'22
0208
l10D
1911 2715 3518 4320 5120 5918
86
5778 6632 7485
8a36
85
9185
-0626-lOTIO -0794- -0033 009 1470 2313 3154 3994
4833 5669 6504 7338 8169 9000 9828
1564 2397 3238 4078 4916 6753 6588 7421 8253 9083 9911
1639 2481 3323 4162 5000 5836 6671 7504 8336 9166 9994
1723 2Ii66 3407 4246 6084 5920 6754 7587 8419 9248
- - - -I - - 0573 1398 2222 3045 3866 4685 5.')03 6320 7134 7948 8759 9570
0666 1481 2305 3127 3948 4767 6685 6401 7216 8029 8841 9651
0738 1563 2387 3209 4030 4849 5667 6483 7297 8110 8922 9732
0378 1186 1991 2796 3598 4400 5200 6998
0459 1266 2072 2876 3679 4480 6279 6078
0540 1347 2162 2956 3759 4560
--
0821 1646
2469
3291 4112 4931 5748 6564 7379 8191 9003 9813
0077 0903 1728 2552 3374 4194 5013 5830 6646 7460 8273 9ff84 9893
- - - - - - - -- - - -
0217 1024 1830 2635 3438 4240 5040 5838
0944 1750 2Ii55
I-
8(}86
I -- -- - - -- 720159 0986 1811 2634 3456 4276
6
- -- -- - - -- - - -- -- -
- - -- -- - - 1807 2650 3491 4330 6167
[No. 544 L. 736.
_4_,
63.59 6157
0621 1428 2233 3037 3839 4640 5439 6237
0702 1508 2313 3117 3919 4720 6619 6317 ----
84
83
82
81
80 ~-
PROPORTIONAL PARTS.
Dill.
1
2
3
4
6
6
7
8
9
26.1 25.8 :a6.6 :a6.2
34.8 34.4 34.0 33.6
43.6 43.0 42.6 42.0
62.2 61.6 61.0 50.4
60.9
119.5 68.8
69.6 68.8 68.0 87.2
78. 3 77.4 76.6 76.6
- - - - - --- - - - - - - --- --- - - - - - - - 87 86 85 84
8.7 8.6 8.6 -8.4
17.4 17.2 17.0 l6.8
1&7
IO.~
TABLE to.-LOGARITHMS 0'" NUMBE'&S.
[No. 584 L. 767.
No.54D L.736.] N.
0
550
1 2 3 4 5 6 7 8 9 560 1 2 3 4 5 6 7 8 9 570 1 2 3 4 5 6 7 8 9 580 1 2 3 4
2
1
1- --545 736397 7193 6 7987 7 8781 8 9572 9
•
8
6
8
7
8
9
7670 8403 9256
7749 8543 9335
7829 8622 9414
7908 8701 9493
0047 0836 1624 2411 3196 3980 4762 5543 0323 7101 7878
0206 09IM
0284
9427
0126 0915 1703 2489 3275 4058 4840 5621 6401 7179 7955 8731 9504
9582
9659
0354 1125 1895
0431 1202 1972 2740
- - - - - - - - - - - - - --8476 - -6556 6795 6874 6954 7034 7113 6035 6715 7272
8067
7352 8146
7431
7511
7590
8939
8225
8305 9097 9889
9177
9731
9018 9810
0521
0600
8860 9651
0442
1388 2175 2961 3745 4528
8384
99f>8
- - - - -- -- - - - - 740363 1152 1939
1230
2725
2804
.1309 2096 2882
3510 4293 5075
3588 4371 5153 5933 6712 7489
3007 4449 5231 6011 6790 7567
5855 6f>34 7412 8188 89f>3 9736
2018
8266
8343
9040 9814
9118 9891
0586 1356 2125 28\13
06f>3
0678 1467 2254 3039 3823 4f>06 5387 6167
5309 6089 6868 7645 8421 9196
- - - - -I - - 750508
1279 2048 2816 3583 4348 5112 5875 6636
7396 8155 8912
9f>f>8
3660 4425 5189 5961 6712 7472 8230 8988 9743
0740 1510 2279 3047 3813 4578 5341 6103
1433
2202 2970 3736 4501 52f>5
6027
7722 8498 9272
0200
0277
0817 1587 2356 3123
0894 1684 2433 3200
0971 1741 2509 3277
3889 4f>54
396f>
400
4730 5494 6256 7016 7775 8533
4807 5570
1(148 1818 2586 3353 4119 4883 6640
6945
99f>8
-0046- -0123-
5417 6180
6788· 7548
6864
6940
7624
8306
8382
9Of>3 9819
9139 9894
7700 8458 9214 9970
1326 2078
1402 2153
--- -0649 ---0498 --0573 0724 760422 1176 1928 2679
3428 4176 4923 56f>9 8413
1251
2003 2754 3503 4251 4998 5743 8487
f>332
6408
9290
7168 7927 8685 9441
0046 0799 1552 2303 3053
0121 0875 1627 2378 3128
0196 0950 1702
3653 4400 5147 5892
f>f>36
2978 3727 4475 5221 5965 6710
3802
3877 4624 5370 6115 6859
79
1073 1860 2647 3431
1782 2568 3353 4136 4919
~15
4997 5m
5699
78
6556
8479 7256
7334 8110
8033 8808
8885
26f>3
3430
3506
4195 4960 5722
4272 5036 5799
77
f>56O
8484 7244
7320 8079 8836 9592
8003 8761 9517
76
.
- - - -- -- -I -
2228
2904
3578 4326 5072 5818 0562
8653
7092 7851 8609 9300
1477
2829
- -- -- -- -
0757 1540 2332 3118 3902 4684 5405 6245 7023 7800 8576 9350
D111.
4550
5296 6041 6785
2453 3203 3952 4099 5445 6190
6933
0347 1101 1853
0272 1025 1778 2529 3278
2604
3353
4027
75
4101 4848 5594
4774 5520 6284 7007
f>338 7082
PROPORTIONAL PARTS.
D111.
1
2
3
5
4
6
7
8
9
- - - - - - - - - --- - - - - - - ---83- - -8.3- --68.1 68.4 74.7 16. 6 24.9 33.2 41.5 49.8 82 81 80 79 78 77 76 75 74
8.2 8.1 8.0 7.9 7.8 7.7 7.6 7.6 7.4
16.4 16.2 16.0 15.8 15.6 15.4 15.2 15.0 14.8
24.6 24.3 24.0 23.7 23.4 23.1 22.8 22.5 22.2
32.8 32.4 32.0 31.6 31. i 80.8 30.4 80.0 29.6
188
41. 0 40.5 40.0 39.5 39.0 38.5 38.0 37.5 37.0
49.2 48. 6 48.0 47.4 46.8 40.2 45.6 45.0 44.4
57.4 56.7
66.0 66.3 54.6 53.9 53.2 52.5 61.8
05.6 .73.8 72.9 64.8 64.0 72.0 71.1 63.2 70.2 62.4 61.6 611.3 60.8 68.4 60.0 . 67.5 69.2 , 66.6
T.!BLII lO.-L08HITB.S 01' lUI . . . . . . [No. 629 L. 799.
No. 585 L. 767.) N.
'-585 6 7 8 9
590 1 2 3 4
5 6 7 8 9
600 1 2 3 4 5 6 7 8 9 610 1 2 3 4
5
6 7 8 9 620 1 2 3 4 5 6 7 8 9
"
0
1
767156 7898
7230 7912 8712 94S1
7304 8046 8786
7379 8120 8860
9525
~
770115
0189
0852
0926
026a 0999
1587 2322 3055 3786 45171 5246 5974 6701 7427 8151 8874 9596
1661 2395 3128
oaa6 1073 1808 2542 3274 4006 4736 5405 6193 0919 7644 8368 9091 9813
0410 1146 1881 2615 3348 4079 4809 5538 6265 0992 7717 8441 9163
0533 1253 1971
0605
2688 3403 4118 4831 5543 6254 6964 7673 8381 9087 9792
2759 3475 4189 4902 5615 6325 7035 7744 8451 9157 9863
8638 9377
I
8
7453
~
9673
_6_1 ___1_1_ 76Z1 8268 IlOO8 9746
8342
7601
3860 4590 5319 6047 6774 7499 8224 8947
1734 3201 3933 4663
5392 6120 6846 7572
8296
9669
9019 9741
0389 1109 1827 2544 3260 3975 4689 5401 6112
0461 1181 1899 2616 3332 4046 4760 5472 6183
6822
6893
7531
7602 8310 9016 9722
9
~
7675 8416 9156
9820
9894
9230 9968
0484
0551.
1220 1955
1293
0631 1367 2102
0705 1440 2175
0778 1514
3421 4162 4882 5610
3494 4225 4955
3567
3640
3713 4444 5173
Ii683
5756
6338
6411 7137 7862
7209 7934
8585 9308
8658 9380
0677 1396 2114 2831
0749 1468 2186
3546
3618 4332 5045 5757 6467 7177 7885 8593
- - - - - - - - - - - - -2468
8 7749 8490
7823
8564 9303
780317 1037 1755 2473 3189
3904 4617
5330 6041 6751 7460 8168 8875 9581
8239 8946 9651
1324
2042
2028 2248 2688 2762 28a5 2908 2981
7064 7789 8513 9236 9957
4298
5028 6483
4371
5100 5829
4261 4974
5686 6396 7106 i815 8522 9228 9933
2902
6556
7354 8079
0821 1540
0893
2258
2329 3046
0965 1684 2401 3117 3832 4546 5259 5970 6680 7390
9299
2974
3689 4403
5116 5828
6538 7248 7956 8663 9309
1691 2392 3092 3790 4488 6185 5880 6574 7268 7960 8651
1059 1701 2462 3162 3800 4558
1129 1831
2532
7337
3231 3930 4627 6324 6019 6713 7406
8029
8098
8720
8789
6254 5949
6644
1199 1901 2602 3301 4000 4697 5393
1269 1971 2672 3371 4070 4767
6088
6158
5463 6852
6782 7475 8107
8236
8858
8927
7545
1340
1410
2041 2742 3441 4139 4836 5632 6227 6921 7614 8305 8996
2111 2812 3511
1480 2181
2882
8802 9624
1612 3761 4475 5187
5899 6609 7319 8027 8734 9440
9510
0144 0848 1550
0215 0918 1620 2322
2252
3022
Il602 6297
6366
6990
6436
6505
7060 7752
8443
7129 7821 8513
9134
9203
8582
7683 8374
9065
71
- -- -
2952 3651 4349 5045 5741
4906
72
8098 8804
3581 4279 4976 5672
4209
73
5902 6629
7282 8006 8730 9462
- -I -- - - - 0004 0074 - -0496 --- 0356 -0426 0567 0637 0707 0778 79028.'l 0988
74
- - -I - -0042-
- -r - - - - - - - - - - - - - - - - - 0029 0101 0173 0245 9885
DI1f.
70
3721 4418 5115 5811 7198 7890 9272
69
PROPORTIONAL PARTS.
DUI.
1
- - --75 74 73 72 71 70 69
7.5 7.4 7.3 7.2 7.1 7.0 6.9
2
3
4
5
6
7
8
9
- - - - - - --- ---' ------15.0 22.5 30.0 37.5 46. 0 60.0 14.8 14. 6 14.4 14.2 14.0 13.8
22.2 21.9 21.6 21.3 21.0 20.7
29.6 29.2 28.8 28.4 28.0 27.6
189
37.0 36.5 36.0 35.5 35.0 34.5
44.4 43.8 43.2 42.6 42.0 41.4
52.5 51.8 51.1 50.4 49.7 49.0
48.3
67.5
59.2 58.4 57.6 56.8 56.0 55.2
66.6 66.7 64.8 63.9 63.0 62.1
[No. 674 L. 829.
No. 630 L. 799.)
0
N.
•
_i_i_B_
1
1630
799341
9409
94781
9547
9616
1 2 3 4 5 6 7 8 9
800029
0098 0786 1472 2158 2842 3525
0167
0236
0306
08M
0923
1541 2226 2910 3li94 4276 4957
1609 2295 2979 3662
640
0717 1404 2US9 27H 3457 4139 4821 5501 806180
1 2 3 4 5
6858
6926
7535 8211 8886 9560
7603 8279 8953 9627
6 7 8 9
650 1 2 3 4 5 6 7 8 9
4208 4889 5569 6248
5773115841 6619 6451 7129 17197 7806 7873 8481 8549 9156 9223 9829 9896
6384 7061 7738 8414 9088 97b"2
834tl 9021 9694
~all ~}~
4,412 14,480 5093 5161
5025 5705
6316 6994 7670
2363 , 2432
9823
9892
9961
()4.42
0511
1129 1815 2500 3184 3867 4548
1198 1884 2568 3252 3935 4616 5297 5976 6655 7332 8008 8884
0580 1266 1952 2637 3321
0648 1335 2021 2705
4,003
4071 4753 5433 6112 6790 7467 8143 8818 9492
5229 5908 6587 7264 7941 8616 9290
9964
- - - - -- - - - - - - - - 81(l"..33 0904 1575 2245 2913 3581 4248 4913 5578 6241
6904 7565 8226
0300
0971 1642 2312 2980 3648 4314 4980 5644
6308 6970 7631
8292
0367 1039 1709 2379
0434 1106 1776 2445
3047 3714 4381 5046 5711 6374 7036
3114 3781 4,447 5113 5777
8885
8951
8358 9017
9544
9610
9676
1 2 3 4 6 6 7 8 9 670 1 2 3 4
820201
0267
0858
0924
0333
1514 2168 2822 3474 4126 4776 5426 6075 6723 7369 8015
8660
0636 1307 1977 2&46
3181
3247 3914 4581 5246 5910 6573 7235 7800
3314 3981 4,647 5312 5976 6639 7301 7962
4514 5179 5843
6440
6506
-0399 - -0464 -
2233
2299
2887 3539 4191 4841 5491
2952 3605 4256 4906
5556
1055 1710 2364 3018 3670 4321 4971 5621
6140 6787 7434 8080 8724
6204 6852 7499 814,4 8789
6269 6917 7563 8209 8853
1579
0569 1240 1910 ,2579
7102 7169 7164 7830 8424 8490 855e 8622 908319149 , 9215 I 9281 9741 9807 i 987319939
7698
660
0501 1173 1843 2512
3848
0989 1645
1120 1775 2430 3083 3735 4386 5036 5686
!~
i
1841
~
3148
0595 1251 1906 2560 3213
3800
3865
i 2495
!' 5101 4451
; 5751 6334 I 6399 6981 i 7046 7628 I 7692 8273 I 8338 8918 I 8982
II
:54
--;-
4344
5637
I oc: I
0373 0992 1061 1678 I 1747
8
1
4516 5166 5815
0031 0703 1374 2044 2713 3381 4048 4714 5378
6042
8028 9346 0004 0061 1317 1972 2626 3279 3930 4581 5231
0880
6464
6528 7175 7821 8467 9111
I
0098 0770 144, 2111 2780
6705 7367
7111 7757 8402
9046
5365 6044
9358
89!8
3389
4685 6723 7400 8076 8761 9425
I
Dlfr.
0166 0837 1508 2178 2847 3514 4181 4,647 5511 6175
3«8 4114 4780 5445 6109' 6771 7433 8094 8754 9412
68
67
6838 7499 8160
8820 9478
0070 0727 1362 2037 2691 3344 3996 4646 5296 5945
66
0136 0792 1448 2103 2756
3409 4,061 4711 5361 6010
66
6658
6593 7240 7886 8531 9175
7305 7951 8595
9239
PROPORTIONAL PARTS.
Dut.
1
2
3
4
5
6
7
8
9
- - --- - - - - - - - - - - - - ------ - - - - - 68 67
M 65 64
6.8 6.7 8.6 6.5 0.4
13.6 13.4 13.2 13.0 12.8
20.4 20.1 19.8 19.5 19.2
27.2 26.8 26.4 26.0 25.6
I
~
I~
190
34.0 33.5 3.1.0 32.5 32.0
40.8 40.2 39.6 39.0 38.4
47.6 46.9 46.2 45.5 44.8
54.4 53.6 52.8 52.0 51.2
61. 2 60.3 .59.4 58.5 57.6
N9.6T5L.8I¥,
7 8 9 680 I
2
3 4 5 6 7 8 9 690 1
1
8293&4' 9947
9368
9432
f8TO'
0011 0fl53 .1294 1934
0075 0717 1358 1998
2509
2573
2637
3147 . 3784 4421 5M6 5691 6324 6957 7588 8219 8849 \lIi78
3211 3848 #84 5120 5754 6387 7020 7652 8282 8912 9541
1----,--830589
;;SO
I-
2 3 4 5 6 7 8 9 700 1 2 3 4 5 6 7 8 9 710 1 2 3 4 5 6 7 8 9
I
0
N. 675 6
INO. 719 L. 857-.
840100 0733 1359 1985
2609
3233
3855
9.77
0098 6718 6837
6055
7673 8189
8805 9419
2480 3090 3698
4306 4913 5519 6124 6729
7 ___ 8 ___ It_ Dlff •
9497
9561
9625
9690
9754
9818
9882
0139 0781 1422 2062 2700
0204
0268 0909
0332 0973 1614 2203 2892 3530 4166
0396
1037 1678 2317
0400 1102 1742 2381
0525 1166 1806 2445
2956
30aJ
3593 4230
4802
4866
3657 4294 4929 5564 6197 6830 7462 8093 8723 9352 9981
3083
- - - -- - - - - -- -- -- -- -
3275 3912
0845 1486
2~
3975 4611 5247 5881 6514 7146 7778 8408 9038 9667
2764 3402 4039 4675 5310 5944 6577 7210 7841 8471 9101 9729
09'n
0984
3338
4548
5183 5817 6451 7083 7715
8345 8975
9604
1650 2189 2828 3466 4103 4739 5373 6007 6641 7273 7904 8534 9164 9792
5437 6071 6704
7336 7967 8597 9ZrT
6506 6134 6767 7399 8030 8660
9855
9289 99'18
1109 1735 2360 2983
3606
1172 1797 2422 3046 3669
3721 4357 4993 5ffn 6261 6894 7525 8156 8786 9415
- - - - - - - - -- - - -0169 -I0232 0294 0357 0420 0482 0545 0608
0859 1485 2110 2734 3357 3980 4601 5222 5842 6461 'KJl9 7696 8312 8928
0796 1422 2047 2672 3295
3918 4539 5160 5780 6399 7017 7634 8251
8866 \1481
- - -- 850033 0646 1258 1870
• _6-_1_8___
B
0095
0707 1320 1931 2541 3150' 3759 4367 4974 5580 6185 6789
1547 2112 2796
2235
2859
1046 1672 2297 2921
3420
3482
3544
6585
4166 41129 4788 4850 5408 5470 6028 6090 6646 , 6708 7284 7326 7881 7943 8497 8559 9112 9174 9726 9788
1610
4104 4726 5346 5966
4042
4664 5284 5904 6523 7141 7758 8374
72W 7819 8435
9542
8989 9604
9051
0769 1381 1992 2602 3211 3820 4428 5034 5640 6245 6850
0830 1442 2053 2663 3272 3881 4488 5095 5701 6306 6910
0891 1503 2114 2724
9665
Wci 5532 6151 6770 7388 8004
8620 9235 9849
64
, ;
, 63
-0043 0671 1297 1922 2547 3170 3793 4415 5036 5656 6275 6894 7511 8128 8743 9358 9972
1234 1860 2484 3108 3731 4353 4974 5594 6213 6832 7449 8066
8682 9297
62
9911 -0217 --0279- -0340- -040l- -0462- -0524-- -0156 0585
3333
3941 4549 5156 5761 6366 6970
0952 1564 2175 2785 3394
1014 1625
1075 1686
2236
2297
4002
4063
4610 5216 5822 6427 7031
2846 3455
4670 5277 5882 6487 7091
2907 3516 4124 4731 5337 5943 6548 7152
1136 1747 2358 2968 3577 4185 4792 5398 6003 6608 7212
1197 11\09 2419'
3029
3637 4245 4852 5459 6064 6668 7272
61 ;
PROPORTIONAL PARTS.
Dill.•
1
2
3
4
5
6
7
8
39.0 38.4 37.8 37.2 36.6 36.0
45.5 44.8 44.1 43.4 42.7 42.0
52.0 51.2 50.4 49.6 48.8 48.0
9
--- --- --- --- --- --- --- --- - --6.6 19.5 65 64 63 62 61 60
6.4 6.3
6.2
6.1 6.0
13.0 12.8 12.6 12.4 12.2 12.0
19.2 18.9 18.6 18.3 18.0
26.0
25.6 25.2 24.8 24.4 24.0
191
32.5 32.0 31.5 31.0 30.5 30.0
58.5 57.6 56.7 55.8 54.9 54.0
TABLE lO.-LOfUIUTBII8 OF NUDBas. No. 720 L. 857.]
N.
0
1
- -7513 -720 - ---7393 - -7453 857332 1 2 3 4 6 6 7 8 9
7936 8537 9138
9739
7574 8176 8778 9379 9978
8116 8718 11.118 9918
8056 8667
9258 9859
860338 0937
1534 2131 2728 3323 3917 4511 5104 6696 6287 6878 7467 8056
1 2 3 4 5 6 7 8 9 740 1
0:198 0996 1594 2191 2787
3382
0018 1116 1714 2310
0458 101i6 1664 2251 2847 3442 4036 4630 6222 5814
~
3977 4570 5163 5755 6346 6937 7526 8115 8703
7585 8174 8762
9232 9818
9290 9877
9349 9935
2906
640Ii 6996
8821
9408
2 3 4 6 6 7 8 9
870404 0989 1573 2156
750 1 2 3 4 5 6 7 8
5061 5640 6218 6795 7371 7947 8522
II 760 1 2 3 4
27~9
3321
3902
~
9096 9669 1
880242 0814 1385 1955 2625
3093
0462 1047. 1631 2215 2797 3379 3960 4540 5119 6698 ~276
6853 7429
8004 8579 9153 9726
2855 34.17 4018 4598 5177 5756 6333 6910 7487 8062 8637 9211 9784
-0299 - -0356 -- 0413 0871 1442 2012 2581 3150
0928
0985
1499
1556 2126 2695 3264
2069 2638 3207
0098 0697
3026 3620
3085 36SO
4214 4808 5400 5992 6583 7163 7762 8350
4274 4867 5459
8409 8997 9584 0170 0755
1281 1865 2448 3030 3611 4192 4772 5351 5929 6507 7083 7659
8
II
Dltr.
8357 8958 9559
8417 9018 9619
8477 9078 9679
60
0158 0757 1355 1952 2549 31" 3739
0218 0817 1415 2012
0278 0877 1475 2072
1339 1923
2506
3088 3669
43.13 4926 5519 6110 6701 7291 7880 8468 9056 9642 0228 0813 1398 1981 2564 3146 3727
4250
~
4830 5409 5987 6564
4888
71~
7717
5466 5045 6622 7199
m4
2(>68
2608
3204
3263
3799 .a92 4985 5578 6169 6760 7350 7939 &;27 9114
3858 4452 5045 5637
9701
9760
02S7
0345 0930
6228 6819· 7409 71198 8586 9173
0872 14.;6 2040 2622 3204 3785 .a66 4945 5524 6102
1515 2681 3262
3844 ~
5582 6160 6737 . 7314 7889 8464
6680 7256 7832 8407 8981
9383 9956
~
9497·
9555
9612
0013 0085
0070 0642
0127
0699
0185 0756
0028
8866
8924
58
5003
8292
8349
59
2008
8234 &809
-- -1042 1613 2183 2752 3321
60Iil 6642 7232 7821
Olll 0696
0471
1295 1893 2489
9525
1
0079 0638 1164 1223 1748 1806 2331 2389 2913 2972 3495 3553 4076 4134 4656 4714 5235 ·5293 5813 5871 6391 6449 6968 7026 7544 7602 8119 8177 8694 8752 9268 9325 9841 9898
2273
0038
8938
9994
0Ii21 1106 1690
9499
0637 1236 1833 2430
3561 4155 4748 5341 5933 6524 7114 7703 8292 8879 9466
8233
8297 8898
2
- - - - - -I - - -
0078 1176 1773 2370 2966
3501 4096 4689 5282 5874 6465 7055 7644
8838 9439
8236
0003
I
•- -7755- -7815- --7634- -7694 -7876 I>
--- - -- - - - --
730
,
7995 8597 9198 9799
INo. 7M L. 883.
, --
I
2
9039
- -- - I - - - -
1099 1670
1156 1727
1213 1784
2240 2809
22'n 2866
2354 2923
1271 1841 2411 2980
1328 1898 2468 . 3037
3377
3434
3491
3548
3605
67
I PROPORTIONAL PARTS.
Dl1f.
1
2
3
,
5
6
7
8
9
68
6.8 6.7 6.6
11.6 11.4 11.2
17.4 17.1 16.8
23.2 22.8 22.4
29.0 28.6 28.0
34.8 34.2 33.6
40.6
46.,
89.9
45.6
39.2
404.8
52.2 51.3 50.'
- - - - - - - - - - - - --- --- --- ---59- --17.7 23.6 29.6 35.4 6.9 11.8 41.3 47.2 63.1 57 56
192
TABLE lO.-LOGABITBB8 OF NUBBEBS.
(No. 809 L. 908.
No. 765 L. 883.)
0
N.
!
1
,
I
•
$
II
8
7
Dlft.
-- -- -- -3776 - - - -3888- -3945- -4002- ---- -3718 -765 883661 4lNi9 4116 4172 3832 6 7 8 9 770 1 2 3 4 6 6 7 8 9 780 1 2 3 4 S 6 7 8 9 790 1 2 3 4 6 6 7 8 9 800 1 2 3 4 5 6 7 8 9
4229 4796 6361
6926 6491 70M 7617 8179 8741
9302
9862
4286 4862
4909
4389 4966
44M 6022
M74
6531
6039
6096 6660 7223
6587 6162
4342
M18 Ii98S 6M7 7111 7674
~
7167 7730
8236
8292 8853
8797
9358
9414 9974
9918
- - - - -- 890421 0980 1537
2095 2651 3207 3762 4316 4870 M23 5975 6526 7077
7621 8176 8725 9273 9821
--900367 0913 1468 2003 2547
3090 3633 4174 4716 5'l1i6 5796 6335 6874 7411 7949
7786 8348
0633
0477 1035 1693 2150 2707 32tl2 3817 4371 4925 M78
8909
9470
0589
6533 6085
6588
6681 7132 7682 8231 8780
6636
6692
7181 7737
7242 7792 8341
8396
0422
1091 1649
1147 1705
2206
2262 2818 3373 3928 4482 5036
2762 3318 3873 4427 4980
6140
8286
--
6713 7336 7898 8460 9021 9582
6136 5700 6266
6192 6767 6321
6829
6885
6942
7392 7965 8516 9077
7449 8011 8573 9134 9694
7606 8067 8629 91110 9750
0812 1370 1928
~
9638
5.'105
6248 6813 6378
6870
6434 6998 71i61 8123
8685 9246 9806
- - - - - - -0263- -0309-1""(ii6 -0030 0086
6030
9875
6209
6716 7280 7842 8404 8965 9526
0645 1203 1760 2317 2873 3429 3984 4538 li091 5644 6195 6741 7297
9328
4512 4S69 4625 4682 4739
5078 5644
0141 0700 12a1 1816
2373 2929 3484 4039 4593 6146 1i699 6251 68O'l 7362
7902
7847
883S 9383 9930
8890 8944 9437 998S
9492
0476 1022 11i67 2112
0531 1077 1622 2166 2710
0586 1131 1676 2221 2764 3307 3849 4391 4932 6472 6012 6651 7089 7626 8163
8451 8999 9M7
0197 071i6 1314 1872 2429
2985 3M0 4094 4648 6201 67M 6306 6857 7407 7957
8506
110M
9602
0924 1482
1426 1983
2039
2696
2540 3040 3096 2484
359S 4150 4704 6257
3151 3706
3651 4205 47tJ9 6312
421il
4814 6367
6809
6864
6920
6361 6912 7462 8012
6416 6967 7617
6471 7022 7672
8067 8616 9164 9711
8122 8670 9218 9766
0804 1349 1894 2438 2981 3524
0859
!5
56
65
- - 0094 -0149- -0203- -02S8- 100i2 - - - - 0039 --
0968 1513 2067 2601 3144 3687 4229 4770 6310
26M
6389 6927 7465
3199 3741 4283 4824 6364 5904 6443 6981 7519
8002
8OIi6
S850
1
3253 3795 4337 4818 M18 5968 6497 7035 7573 8110
0640 1186 1731 2276 2818 3361 3904 4445 4986 6526 6066
6604 7143 7680 8217
0695 1240 1785
0749 1296 1840
2329
2384 2927
2873 3416 3968 4499
5040 6580 6119 6668 7196 7734 8270
3470 4012 4653
6094
5634 6173 6712 7250 7787 8324
1404 1948 2492 3030 3578 4120 4661
4066 ~7
6202
6148
6688
6742 6281
6227 6766 7304 7841 8378
64
6820 7368 7896 8431
PBOPOBTIONAL PUTS.
Dlft.
1
2
3
4
15
6
7
8
9
67
6.7 6.6 8.6 5.4
11.4 11.2 11.0 10.8
17.1 16.8 16.6 16.2
22.8 22.4 22.0 21.6
28.6 28.0 27.5 27.0
34.2 33.6 33.0 32.4
39.9 39.2 38.5 37.8
45.6 44.8 44.0 43.2
61.3 60.4 49.6 48.6
- - --- --- --- --- --- --- - - - -----66
65
64
41749-10--13
I
193
j
TABLE 10.,....LOtUBITU.S ,OF NUMBERS. [No. 8M L. 931.
No. 810 L. 908.)
0
N. "-
810 1 2 3 4
Ii 6 7 8 9 820 1 2 3 4 5 6 7 8 9 830
1 2 3 4 5 6 7 8
:l 840 1 2 3 4 5 6 7 8 9 850 1 2 3 4
1
,
a
i
908485
853lI
8592
9021 9556
9074 9610
9128 9663
910091 0624 1158 1690 2222 2753 3284 3814 4343 4872
0144 0678 1211 1743 2275
0197 0731 1254 1797 2328
3337 3867 4396 4925 5453 5980 6507 7033 7558
3390 3920 4449 4977 5505 6033 6559 7085 7611 8135 8659 9183 9706
- - -•- - - -- - - - Ii
--- - - - - - - -8646 9181 9716
8699 9710
8753 9289
9823
0251 0784 1317 1850 2381 2913 3443 3973 4502 6030 5558 6085 6612 7138 7653 8188 8712 9235 9758
0304 0838
0358 0891 1424 1956 2488 3019 3549 4079 4608 5136
9235
9
7
8
8807 9342 9817
8800 9396 9930
8914 9449
0411 0944 1417
0464
0998
0518 1051 1584 2116 2647 3178 3708 4237 4766 5294
9984
8967 9503
- - - - - - ---- - - - - - - - - - - -
5400 5927 5454
6980 7506
8030 8555 9078 9601
2806
8083 8607 9130 9653
2859
1371 1903 2435
2966 3496
4026 4555
5083
5664
5611 6138
6664 7190 7116 8240 8764 9287 9S10
------ - - - -- 920123
0645
1166 1686
0176 0697 1218 1738
2206
2258
2725 3244 3762 4279 4796 5312 5828 6342 6857 7370 7883 8396 8908 9419 9930
2771 3296 3814 4331 4848 5364 5879 6394 6908 7422 7935 8447 8959 9470 9981
930440 0949 1458
0491 1(00 1509
0280
0228 0749 1270 1790 2310 2829 3348 3855 4383 4899 5415 5931 6445 6959 7473 7986 8498 9010 9521
0801 1322 1842 2362 2881 3399 3917 4434 4951 5467 5982 6497 7011 7524 8037 8549 9061 9572
0542 1051 1560
0592 1102 1610
6191 6717 7243 7168 8293 8816 9340 9862
2009 2541 3072 3602 4132
4660 5189 5716 6243 6710 7295 7820 8345 8869 9392 9914
1530 2063 2594 3125 3655 4184 4713 5241 5769 6296 6822 7348 7873 8397 8921 9444 9967
-f-- - 0384 0436 048Il
6349 6875 7400 7925 8450 8973 9496
8601 9112 9623
0958 1478 1998 2518 3037 3555 4072 4589 5106 5621 6137 6651 7155 7678 8191 8703 9215 9725
1010 1530 2050 2570 3089 3607 4124 4641 5157 5673 6188 6700 7216 7730 8242 8754 9266 9176
9827
0643 1153 1661
0694 1204 1712
0745 1254 1763
0796 1305 1814
0847 1356 1866
8088
0037 0571 1104 1637 2169 2700 3231 3761 4290 4819 5347 5875 6401 6927 7453 7978
53
8502 9026 9549
-- --
1426 1946 2466 2985 3503 4021 4538 5054 5570 6085 0600 7114 7627 8140 8652 9163 9674
0906
--
5822
0019 0541 1062 1582 2102 2622 3140 3658 4176 4693 5209 5725 6240 6754 7268, 1781 8293 8805 9317
0332 0853 1374 1894 2414 2933 3451 3969 4486 5003 5518 6034 6548 7062 7576
DUI.
0071 0593 1114 1634 2154 2674 3192 3710 4228 4744 5261 5776 6291
52
6805 7319 7832 8345 8857 9368 9879
- - - -- - 0185 -- - ._- - - - - - - 0032 0083 0134 -0236 0287 0338 0389
51
0898
1407 1915
PROPORTIONAL PARTS.
DUI.
1
2
3
4
5
6
7
8
9
5.3 5.2 5.1 5.0
10.6 10.4 10.2 10.0
15.9 15.6 15.3 15.0
21.2 20.8 20.4 20.0
26.5 26.0 25. 5 25.0
31.8 31.2 80.6 30.0
37.1 36.4 35.7 35.0
42.4 41.6 40.8 40.0
47.7 46.8 45.9
- - --- --- --- - - --- --- --- --- - - 53 52 51 50
194
45.0
TA.BLE lO.-LOGA.RITHIIlS OF NUMBERS. (No. 899 L. 964.
No. 855 L. 931.)
0
N.
1
,
4
3
2
- - --- - - - - - - - 855 6 7 8 9
860 1 2 3 4 5 6 7 8 9 870
I 2 3 4 6 6 7 8 9 880 1 2 3 4 6 6 7 8 9
890 1 2 3 4 5 6 7 8 9
931966 2474 2981 3487 3993
4498 5003
2017 2524 3031
3791
4751 5255 5759 6262 6765 7267 7769
4801 5306 5809 6313 6615 7317 7819 8320 8820 9320 9819
4852 5356 6860
9369 9869
9419
9469
9918
9968
0815 1313 1809
0865
0915 1412 1909 2405 2901 3396
0964 1462 1958 2455 2950 3445 3939 4433 4927 5419 5912
3690
4145
4195
4549
4li99
4650
5064 5558
5154
7167 7663 8169 8670 9170
4700 5205 5709 6212 6715 7217 7718 8219 8720
9020
' 8570 9070
9519
9569
9619
0516 1014 1511
0566
0616 1114 1611 2107
8520
3740 4246
3639
4094
6564 7066 7568
8069
5658
6665
Dlff.
8269
9220
8770 9270
9669
9719
9769
0666
0716 1213 1710
4296
2322
2423
2271 2778
3285
4044
6162
2220 2727
3234
3538
6061
9
8
7
2169 2677 3183
3082 3589 5104 5608 6111 6614 7116 7618 8119 8620 9120
51i07 6011 6514 7016 7518 S019
2118 2626 3133
2068 2575
8
-- -- - - - - - - - 2829 3335 3841 4347
6363
6865 7367 7869 8370 8870
2372 2879
2930
3386 3892
3437 3943 4448
4397 4902
4953 5457
5406
5000
5910 6413 6916 7418 7919 8420
6463
6966 7466 7969 8470 8970
8920
50
- - - - - - - - - -- - ---0066 - -0118 - -0166 0218 0267 0317 0367 0417 0467 940018 2008 2504
3000 3496 3989 4483 4976 5469 5961 6452 6943 7434 7924 8413
8902 9390 9878
1064 1561
2058 2554 3049 3544
4038 4532 5025 5518 6010 6501
6992 7483 7973 8462 8951 9439 9926
2603
2653
3099
3148
2702 3198
3593 4088
3643
3692
0765 1263 1760 2256 2752 3247 3742
4137
4186
4236
2801 3297 3791 4285
4581 5074 5567 6059 6651 7041 7532
4631 6124 5616 6108
4680 5173 5665 6157 6649 7139 7630 8119
8560 8608 9048 9097
4729 5222 5715 6207 6698 7189 7679 8168 8657 9146
9536
9585
9634
0073 0560 1046 1532 2017 2502
1163 1660 2157
6600 7090 7581 S070
8022 8511
8999 9488 9975
---0414 - -0462 950365
-- -- --
0851 1338 1823
0900
1386 1872
0949 1435 1920
0024 0511 0997 1483 1969
2308
2356
2792 3276 3760
2841 3325
2405 2889
2453 2938
3373
3421 3905
3808
2'lIJT
3856
0121
0608 1095 1580
2066 2550 3034 3518 4001
2986 3470 3953
2306
1362 1859
2355 2851
3346 3841 4335
3890 4384
4779 5272 6764 6256 6747 7238 7728 8217 8706 9195
4828 5321 5813 6305 6796 7287 7777 8266 8755 9244
4877 5370 5862 6354 6845 7336 7826 8315 8804 9292
9683
9731
97SO
9829
0170 0657 1143 1629 2114
0219 0706 1192 1677 2163 2647 3131 3615 4098
0267 0754 1240 1726 2211 2696 31SO 3663 4146
0316 0803 1289 1775 2260 2744 3228 3711 4194
6403 6894 7385 7875
49
8364 8853 9341
-- - - - -- 2599 3083 3566 4049
PROPORTIONAL PARTS.
Dlff.
1
2
3
4
51
6.1 6.0 4.9 4.8
10.2 10.0 9.8 9.6
16.3
20.4. 20.0 19.6 19.2
50 49
48
15.0 14.7 14.4
_6_1_6_ 25.6 26.0 24.5 24.0
195
30.6 30.0 29.4 28.8
7
8
9
35.7 35.0 84.3 33.6
40.8 40.0
39.2
46.9 46.0 44.1 43.2
38.4
!'ABLE to.-LOGARITHMS OF NUMBERS. No. goo L. 9IS4.)
[No. 9« L.1I75.
,
6
4918 53VII
4966 6447
- - - - - - - - -- - - -•- -- -- - - - -goo - -954243 4291 4387 4435 4484 4532 4580 4628 4677 4339 N.
0
1 2 3 4 6 6 7 8 9 910 1 2
4725 5'1JJ1 Ii688 6168 6649 7128 7607
3 4 5 6 7 8 9 920 1 2 3 4 5 6 7 8 9 930 1 2 3 4 6 6 7 8 y 940 1 2 3 4
8086 8564 9041 9518 9995
1
4773
5255
5736 6216 6697 7176 7655 8134 8612
9089 9566
a
II
48611
4821
li303
636l 5832 6313 6793 7272
5784
6266 6746 7224 7703 8181 8659 9137 96H
7761. 8228 87m 9185 9661
6928
58SO 6361
MOIl 6888 7368 7847
6840
7320 7799 8277 8756 9232 9709
OOH 6496 1i876 6457
6936
7416 ~
8325 8373
7
8
9
0062 6643 6024 6006
6110 6592 6072 6553 7032 7512 7990 8468
6158 S640 6120 6601 7080 7669
6984
7464 7942 8421
Dill.
48
8038 8516
8803 8850 8898 8946 8994 9280 9328 9376 9423 9471 9767 9804 9852 9900 9947
- - - - - - - - - - - -- - - - - - - - 00012 0090 0138 0185 0233 0280 0328 8376 0423 960471 0946 1421 1896
2369 2!H3 3316 3788 4260 4731 6202 6672 6142 6611 7080 7548 8016 8483 8900 9116 9882
0518 0994 1469 1943 2417
0666
2890 3363
2937 3410
3835 4307 4778 5249 5719 6189 6658 7127 7595 8062 8530
3882
8996 9463 9928
2203
2666 3128 3590 4051 4512 4972
0393 0858 1322 1786 2249 2712 3174
3636
4097 4558 5018
2038 2511 2985 3457 3929 4401 4872 5343 5813 6283 6752 7220 7688 8166 8623 9090 9566
2464
4364 4825 5296 5766 6236 6705 7173 7642 8109 8576 9043 9509 9975
- - - ---10440 970347 0812 1276 1740
0613 1089 1563
1041 1616 1990
0709 1184 1658 2132
0661 1136 1611 2085 2569 3032 3504 3977 4448 4919
2606 3079
3562 4024 4495
4966
moo 1231 1706 2180 2653 3126 3599 4071
4542
5013 5484 5954 6423 6892 7361 7829
0804 0851 1279 1326 1753 1801 2227 2275 2701 2748 3174 3221 3646 '3693 4118 4165 4590 4637 6061 5108 5631 5678 6001 6048 6470 6517 6939 6986 7408 7454 7875 7922 8343 8390 8810 8856 9276 9323 9742 9789
0899 1374 1848 2322 2795 3268 3741 4212 4684 6156 6625 6095 6004 7033 7001 7969 8436
m19 1183 1647 2110 2673 3035 3497 3959 4420 4880 5340
m65. 1229 1693 2157 2619 3082 3543 4005 4466 4926
5390 5860
6437
6329 6799 7267 7735 8203 8670 9136 9602
6376 6845 7314 7782 8249 8716 9183 9649
0533 0997 1461 1925
0579 1044 1508 1971 2434 2897 3359 3820 4281 4742
0626 1090 1554 2018 2481 2943 3405
~
6248 6294
5907
8296 8763 9229 9695
47
8903
9369 9835
- - -- - - -0021 --0068- -0114-I0161 0207 0254 0300 0486 0951 1416 1879 2342 2804
0904
1369 1832 2295 2758
3220 3682
3266 3728 4189 4600 5110
4143 4604 0064
2388
2851 3313 3774 4235 4696 6166
3866 4327 4788
0672 1137 1601 2064 2527 2989 3451 3913 4374 4834
6386
46
PROPORTIONAL PARTS.
m'l ' I ' I · I · lil · I 47 46
4.7 4.6
9.4 9.2
14.1 13.8
18.8 18.4
23.6 23.0
196
28.2 27.6
7 32.9 32.2
8 37.6 36.8
II 42.3
.n.'
TABLE lO.-LOOABITHIlS OF NUMBERS. No. 945 L. 975.)
(No. 989 I,. 995.
• I --- -- --945- ---5524 --5570 - -5616- -5662- --975432 5478 5707 5753 5799 5845 N.
6
T 8 9 950 1 2 3 4 5 6 7 8 9 960 1 2 3 45 6 7 8 9 970 1 2 3 4 5 6 7 8 9 980 1 2 3 4 5 6 7 8 9
0
5891
6350 6808 7266 7724 8181 8637 9093
9548
1
I
5937 63116
6854
7312 7769
8226 8683 9138 9594
5983
6442 6900
7358 7815 8272 8728 9184 9639
II
i
0
6029 5488 6946 7403 7861 8317 8774 9230 9685
6075 6533 6992 7449 7906 8363 8819 9275 9730
6121 6579 7037 7495 7952 8409 8865 9321 9776
0640 1093 1547
- - - - -- - - 980003
0458 0912 1366 1819 2271 2723 3175 3626 4077 4527 4977 5426 5875 6324 6772 7219 7666 8113 8559 9005 9450 9895
0049 0503 0957 1411 1864 2316 2769 3220 3671 4122 4572 5022 5471 5920 6369 6817 7264 7711 8157
00II4
8604
8648
0140 0594 1048 1501 1954 2407 2859 3310 3762 4212 4662 5112 5561 6010 6458 6906 7353 7800 8247 8693 9138 9583
0549 1003 1456 1909 2362 2814 3265 3716 40167 4617 6067 5516 5965 5413 6861 7309 7756
8202
9049 9494 9939
9094
0383 0827 1270 1713 2156 2598 3039 3480 3921 4361 4801 5240
0428 0871 1315 1758
9539 9983
7
8
I
6167 6625 7083 7541 7998 8454 8911 9366 9821
6212 6671 7129 7586 8043 8500 8956 9412 9867
6258 6717 7175 7632
6304
0685 1139 1592 2045 2497 2949 3401 3852
0730 1184 1637
4302
4347 4797 5247
0776 1229 1683 2135 2588 3040 3491 3942 4392 4842 5292 5741 6189 6637 7085 7532 7979 8425 8871 9316 9761
0821 1275 1728 2181 2633 3885 3536 3987 4437 4887 5337 5786
DI1I.
,
6763 7220 7678 8135 8591 9047 9503 9008
8089
8546 9002 9457 9912
- - - -- - - - ---0185 0231 0276 0322 0367 0412 2000 2452
2904 3356 3807 4257 4707 5157 5606 60M 6503 6951 7393 7845 8291 8737 9183 9628
4752 5202 5651 6100
2090 2543
2994 3446
3897
6696
6548 6996
6144 6593 7040 7488
7443 7890
7934
&"tl6
8381
8782 11227 9672
8826
9272 9717
0561 1004 1448 1890 2333 2774 3216 3657 4097 4537 4977 5416
0605 1049 1492 1935 2377 2819 3260 3701 4141 4581 5021 5460
0867 1320 1773 2226 2678 3130 3581 4032 4482 4932 5382 5830 6279 6727 7175 7622 8068 8514 8960 9405 9850
6234
6682 7130 7577 8024 8470 8916 9361
45
- - - - - - - - - - -9806- - - - - - - - - 0028 0072 0117 0161 0206 0250 0294 990339 0783
1226 1669 2111 2554
2995
3436 3877 4317 4757 5196
0472 0916 1359 1802 2244 2686 3127 3568 4009 4449 4889 5328
2200
2642 3083 3524 3965 4405 4845 5284
0516 0960 1403 1846
2288
2730 3172 3613 4053 4493 4933 5372
0650 1093 1536 1979 2421
286.3 3304
3745 4185 4625 5065 5504
0694 1137 1580 2023 2465 2907 3.348 3789 4229 4669 5108 5547
0738 1182 1625 2067 2509 2951 3392 3833 4273 4713 5152 5591
44
PROPORTIONAL PARTS.
Dill.
1
2
3
5
6
23.0 22.5 22.0 21.5
27.6 27.0 26.4 25.8
4-
7
8
9
32.2 31.5 30.8 30.1
36.8 36.0 35.2 34.4
41.4 40.5 39.6 38.7
- - --- - - - --- - - - --- - - - - - - --- - - 46 45 44 43
4.6 4.5 4.4 4.3
9.2 9.0 8.8 8.6
13.8 13.5 13.2 12.9
18.4 18.0 17.6 17.2
197
TABLB IO.-LOGARITHMS OP NUMBEII8. No. 990 L. 996.)
•
N.
[No. 999 L. 999.
1
I
I
,II - - - -I- - - -
------ - - - - - 9110 1 2 3 4 5
995635 6074 6512
6949 7386 7823
6
8259
7 8 9
8695 9131 9565
6679 6117
6655 6993
7430 781j7
8303 8739 9174 9609
5723 6161
6599 7037 7474 7910 8347 8782 9218
9652
5707
6205 6643 7~
7517 7954 8390
•
7
S
II
5811 6249 6687 7124 7561 7998
158M 5898 5942 li986 6030 6380
6f24
6818 7255 7692 8129
7299 7736 8172
6468 6906 7343 7779 8216
8434
8564
8608
8652
9435 9870
9043 9479 9913
9M7 9522 9957
8826
8Ij69
9261
9305 9739
9696
Ii
198
6293 6731 7168 7605 8041 8477 8913 9348
8<m 8521 8956 9392
9783
9826
6337 6774 7212 7648
9000
6862
DUI.
44
43
TABLB 1l.-OONVBJWE1«JY OJ' ""''''UIS, SIX IIILK8 LOIfO AND SIX JULES APART, AND DIFFERENCES OF LATITUDE AND LONGITUDE. Convergency.
I
Lat. On the parallel. 0
Lu.
Angle.
,
Di1Ierence of longitude per range. In arc.
,
"
"
I
Difference of latitude lor-
In time.
1m!.
Seco1ld8. 22.00 23.15 23.35 23.56 23.78
0.871
5.229
0.871
5.225
25.39 25.70 26.03 26.38 26.75
0.870
5.221
27.14 27.54 27.97 28.42 28.89
0.860
5.216
ITp.
,
33.9 35.4 37.0 38.6 40.2
2 2 2 2 2
30 31 32 33 34
41.9 43.6 45.4 47.2 49.1
3 0 3 7 3 15 3 23 3 30
6 0.26 6 3.97 6 7.87 6 11.00 6 16.26
35 36 37 38 39
50.9 52.7 54.7 56.8 58.8.
3 3 3 4 4
38 46 55 4 13
6 6 6 6 6
40 41 42 43 H
60.9 63.1 65.4 67.7 70.1
4 4 4 4 5
22 31 41 51 1
6 47.06 6 53.15 6 59.56 7 6.29 7 l3.39
45 46 47 48 49
12.6 75.2 77.8 SO. 6 83.5
5 S 5 5 5
12 34 46 59
7 7 7 7 7
20.86 28.74 37.04 • 45. SO 55.05
29.39 29.92 30.47 31.05 31.67
0.869
5.211
50 51 52
6 12 .
8 8 8 8 8
4.83 15.17 26.13 37.75 50.07
32.82 33.03 33.74 34.52 35.34
0.868
5.207
54
86.4 89.6 92.8 00.2 00.8
55 56 57 58 59
103.5 107.5 111.6 116.0 120.6
7 25 .7 42 8 0 8 19 8 38
9 3.18 9 17.12 9 31.97 9 47.83 10 4.78
36.22 37.14 38.l3 39.19 40.32
0.867
5.202
60 61 62 63 64
125.5 130.8 136.3 142.2 148.6
8 9 9 10 10
59 22 46 11 38
10 10 11 11 11
22.94 42.42 3.38 25.97 50.37
41.52 42.83 44.22 45.73 47.36
0.866
5.198
65 67 68 00
155.0 162.8 170.7 179.3 188.7
11 11 12 12 13
8 39 13 51 31
12 12 13 13 14
16.82 45.55 16.88 51.15 28.77
49.12 51.04 53.12 55.41 57.92
0.866
5.195
70
100.1
14 15
15 10.26
60.68
0.866
5.193
25 26 27 28 29
53
66
25 32 39 46 53
5 5 5 5 5
23
6 25 6 89 6 54 7 9
I
44.34 47.20 50.22 53.40 56.74
20.78 25.53 30.52 35.76. 41.27
199
24.02 24.26 24.52 24. SO 25.08
TABLE It.-A.IIMtJ1'B8
fBB tANGINt TO ftB PARALLEL.
Lat.
1 ml.
25
89 69.6 69.6 69.6 69.5 69.6
89 69.2 69.2 69.1 69.1 69.0
89 58.8 58.7 58.7 6&.6 6&.6
89 58.4 58.3 58.2 6&.2 6&.1
89 58.0 67.9 57.8 57.7 67.6
89 57.6 57.5 57.4 57.2 67.1
30 a1 32 33 34
69.5 69.6 69.6 59.4 69.4
69.0 69.0 6&.9 68.9 68.8
6&.5 58.4 68.4 58. 3 58.2
6&.0 67.9 57.8 67.7 57.7
67.5 57.4 67.3 57.2 67.1
67.0 66.9 56.8 66.41 56.6
35 36 37 38 39
69.4 69.4 69.8 69.3 69. a
6&.8 68.7 68.7 68.6 68.6
6&.2 68.1 58.0 68.0 57.9
67.6 67.5 67.4 67.3 57.2
67.0 56.9 56.7 56.6 56.5
56.4 66.2 56.1 55.9 55.8
40 41
59.3 69.2 69.2 69.2 69.2
58.5 58.6 58.4 68.4 68. a
67.8 57.7 67.7 67.6 67.5
57.1 67.0 66.9 66.8 641.7
641.4 66.2 56.1 641.0 65.8
55.6 65.5 65. a 65.2 55.0
46 47 48 49
69.1 69.1 59.1 69.0 69.0
68.3 68.2 58.1 68.1 68.0
57.4 67.3 67.2 67.1 67.0
641.6 66.4 66.3 66.2 66.0
65.7 65.5 65.4 65.2 65.0
64.8 64.6 64.4 64.2 64.0
60 61 52 53 54
69.0 68.9 58.9 58.8 58.8
67.9 67. V 67.8 57.7 67.6
641.9 641.8 641.7 66.41 66.4
55.9 66.7 66.6 66.4 66.2
64.8 64.6 64..~ 64.2 64.0
63.8 53.6 53.4 53.1 52.8
65 66 67 58 69
68.8 58.7 58.7 58.41 58.6
57.5 67.4 67.3 67.2 67.1
66.3 66.2 66.0 55.8 65.7
66.1 54. 9 54.7 64.6 64.2
53.8 53.6 53.3 63.1 62.8
52.6 52. a 52.0 61.7 61.4
60 61 62 63 64
68.5 58.4 58.4 58.3 68.2
57.0 66.9 66.7 66.6 66.5
65.5 55.3 65.1 64.9 54. 7
64.0 53.8 53.11 63.2 62.9
52.5 62.2 51.9 61.6 61.1
51.0 50.6 60.2 49.8 49.4
66 66 67 68 69
58.1 58.1 58.0 67.9 67.8
66.3 66.1 55.9 55.7 55.6
54.4 54.2 53.9 53.6 53.2
52.6 52.2 51.8 51.4 61.0
60.7 50.3 40.8 49.3 48.8
48.9 48.4 47.8 47.2 46.5
70
89 67.6
89 55.3
89 52.9
89 50.5
89 48.1
89 45.8
. .
26 27
28 29
42
43 44
45
,
2ml.
or
.
,
amL
.
,
200
4 ml.
.
,
6 ml.
.
,
41 ml. 0
,
TABLE la.~'I'8ET8, IIIl LINn, no. TH1!l TANGJ!N'T TO THE PARALLEL.
~
1m!.
~
~
28 29
0 0 0 0 0
0 0 1 1 1
1 1 1 1 1
2 2 2 2 2
3 3 3 3 3
II
:.l 31 32 33 34
0 0 0 0 0
1 1 1 1 1
1 1 1 1 2
2 2 3 3 3
35 36 37 38 39
0 0 0 0 0
1 1 1 1 1
2 2 2 2 2
3 3
3 3 3
40 43 44
0 0 0 0 0
1 1 1 1 1
2 2 2 2 2
45 46 47 48 49
0 0 0 0 0
1 1 1 1 1
50 51 52 53 64
0 0 0 0 0
55
~
:?
4m!.
8 8 8 9 9
10 10 10 11 11
1%
5 5
6 6 6 7 7
4 4 4; 4 4
5 5 6 6 6
7 7 8 8 8
9 10 10 10 11
12 12
15 15
13 13 14
16 16 17
4 5 5 5 5
6
11
14
7 7 7
12
15 15
18 UI 19
T
8 9 9 10 10
3 4 4 4 4
5 5 6 6
10 11 11 11
14
6
8 8 8 8
9
12
16
20
24 24
2 2 2 3 3
4 4 4 4 5
6 7 7 7 7
9 9 10 10 10
12
16 17 17 18 19
20 21 22 23 23
1 1 1 1 1
3 3 3 3 3
II II II
Ii
15 15
19
20
24 25
5 6
8 8 8 8 9
16 16 17
21 21 22
26 27
66 67 58 59
0 0 0 0 0
1 1 2 2 2
3 3 3 4 4
6 6 6 6 7
9 9 10 10 10
13 13 14 14
18 18 19
23 24
15
20 20
26 %7'
29 :.l 31 33 34
60 61 62 63
0 0 0 0 1
2 2 2 2 2
4 4 4 4 5
7 7 8 8 8
11
21 22 23 24
28
13
16 16 17 18 19
2 2 2 2 3
5 5 5 6 6
9 9
13 14
9
15
69
1 1 1 1 1
10 10
70
1
3
6
11
Lat.
.
2m!.
- - -- - - - - - - 25 26 27
41
42
64 65 66 67
68
11 12
12
.3m!.
5m!.
~
6m!.
---- --------- 4 4
11 12 12
12
13 13
14 14
25
19
26
20
16 16
21 22 24
28 29 :.l 32
17
25
34
201
12 13 13 14
15 15
25
29 30
32
14
12
15
13 13
16 16 17
14
18 18 19
20 21
17 18 18 19
20 21 22 23 24 25
25
16 17
20 20
21 22 23 24 25
17 18 18 19
21 . 22 23
26 27 27
:.l 32 33 34 35
25 26 27 28 29
:.l 32 33 34 35
36 38 39
:.l 31 32 33 35
36 38 39
43
40 42
45 46 48 50
36
42
43 45 47 49 61
52 54 66 58 60
44 45 47 49 52
53 67 60 62
63 65 68
28
35· 37 38 40
37
39 40
28 29
55
26 27
28 29
40
42
71 74
33
42
34
54 57 59 62
66
65 68 72 75 79
85
42
44 46 48 60 53
44
66
69
84
100
36
as
40
78 81 90 94
TABLB U.-AnKIl'I'B8 OF THB SIXlANT.
0
25 26 27 28
1 mi.
Oml.
Lat.
0
,
811 58.8 58.7 58.7 58.6
0
,
2 mi.
0
,
89 59.2 59.2 59.1 59.1 59.0
89 59.6 69.6 59.6 59.5· 59.5 59.5 59.6 59.5 59.4 /ill. 4
29
58.~
30 31 32 33 34
58.5 58.4 58.3 58.2
59.0 59.0 58.9 58.9 58.8
35 .36 37 38 39
58.2 58.1 58.0 58.0 57.9
58.8 58.7 58.7 58.6 58.6
/iIl.4 59.4 59.3 59.3 59.3
40 41 42 44-
57.8 57.7 67.7 67.6 57.5
58.5 58.5 58.4 58.4 58.3
59.3 59.2 59.2 59.2 /ill. 2
~5
57.~
~6
49
67.3 57.2 57.1 57.0
58.3 58.2 58.1 58.1 58.0
59.1 59.1 59.1 69.0 /ill. 0
50 51 62 53 64
56.9 56.8 56.7 56.6 56.4
57.9 57.9 57.8 67.7 57.6
. 59.0 5(1.9 58.9 58.8 58.8
55 56 57 58
56.3 56.2 56.0 66.8 66.7
57.5 57.4 57.3 57.2 57.1
58.8 58.7 58.7 58.6 51\.6
66.6 66.3 66.1 64.9 64.7
57.0 56.9 56.7 56.6 56.6
58.5 58.4 58.4 58.3 58.2
64.4 64.2 53.9 53.6. 53.2
56.3 56.1 55.9 55.7
43
47 48
59 60
61 62
63 64 65 66 67 68 69
70
58.~
DeflectIon angle 6 mi.
3 mi.
, 90"
E.orW.
" " " " " " " " " " " " " " " "" " " " " " " " " " " " " " " " " " " " " "
.
" " " " " " "
" " " " " " " " " " " " " " " "
" "
" "
"
" " " " "
" " " " " "
" "
"
"
" " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " "
55.6
58.1 58.1 58.0 67.9 57.8
89 62.9
89 55.3
89 67.6
" " "
6m!.
5m!.
4m1.
3m1.
" " "
2 2 2 2 2
"
25 32 39 46 53
3 0 3 7 3 15 3 23 3 30 3 38 3 ~6 3 55 4 4 4 13 4 22 4 31 4 ~1 4 51 .6 1 5 12 5 23 6 34 6 46 5 59 6 6 6 6 7
12 25 39 64 9
7 7 8 8 8
25 42 0 19 38
8 9 9 10 10
59 22 46 11 38
11 11 12 12 13
8 39 13 51 31
14 16
TABLE u..-oFFSBT8,IN LINKS, I'BOII THI!ISBCANT TO THB PA1U.LLEL.
Lat.
omi.
~mL
1m!.
l~ml'l
2 mi.
2~m!.
-----0
25 26 ZT 28 29
2N. 2 3 3 3
1 N. 1 1 1
0
30
34
3 3 3 3 3
35 36 'if1 38 39
40
~I 2 S. 2 2 2 2
1
0 0 0 0
1 S. 1 1 1 1
1 S. 1 2 2 2
2 S. 2 2 2 2
1 1 1 1 2
0 0 0 0 0
1 1 1 1 1
2 2 2 2
2 2 2 2 3
2 2 3 3 3
4 4 4 4 4
2 2 2 2 2
0 0 0 0 0
1 1 1 1 1
2 2 2 2
2
3 3 3 3 3
3 3 3 3 3
4 4
5 5 5
2 2 2 2 2
0 0 0 0 0
1 2 2 2
2
3 3 3 3 3
3 3 3 4 4
3 4 4 4 4
5 5 5 6 6
2 2 2 3 3
0 0 0 0 0
2 2 2 2 2
3 3 3 3 3
4 4 4 4 4
4 4 4 4 II
50 51 52 53 54
6 6 6
3 3 3 3 3
0 0 0 0 0
2 2 2 2 2
4 4 4 4 4
4 5 5
5
II
6
M 56 57 58 59
7 8 8 8
3 3 3 4 4
0 0 0 0 0
3 3 3 3 3
9 9 9 10 10
4 4 4 4 5
0 0 0 0 0
5 Ii Ii
00
11 11 12 12 13
70
14N.
31
32 33
41 42 43 44 45
46 47 48 49
7
7 7
60 61 62
63
64 65 56 67 68
2
I
4 4 5
5
~
5 5 6
6 6 6
6
5
6
3 3 3 3 4
Ii
6 6 6
7 7 7
8
7 7 8 8 8
6 6
0 0 0 0 0
4 4 4 4 5
6 7 7 7 8
8 8 9 9 10
6N.
0
58.
8 S.
-----------6m!.
5
5~m!.
5 mI.
4~ml.
•
203
5
5
7
·10S.
6 6 7
9 9 9 10
10
11 S.
4 mi.
3~ml.
3mI.
TUU l'.-LlNMB8
Lat.
.,
Btatute milES.
Lat.
.,
Btatute milES.
Lat.
.
Btatute miles.
25 0 30 26 0 30 27 0
62.729 62.473 62.212 61.946 61.676
4730 48 0 30 49 0 30
46.818 46.372 46.922 46.469 46.012
25 26 27 28 29
68.829 68. 839 68. 848 68. 858 68.8611
30 28 0 30 29 0 30
81. 401 61.122 80.8:K1 80.648 80.254
60 0 30 51 0 30 62 0
44.552 44.088 43.621 43.150 42.676
30 31 32 33 34
68.879 68.890 68.901 68. 912 68.923
30 0 30 31 0 30 32 0
69.956 69.653 69.346 69.033 68.716
30
30 64 0 30
42.199 41. 719 41.236 40.749 40.259
35 38 :r1 39
68. 936 68. 946 68. 958 68. 969 68. 981
00 33 0 30 34 0 30
68.398 68. 071 67.741 67.407 67.068
55 0 30 66 0 30 57 0
39.766 39.270 38. 771 38. 269 37.764
40 41 42 43 44
68. 993 69.006 69.018 69.030 69.042
35 0 30 38 0 30 :r1 0
68.725 66. :r18 68.027 55.671 65.311
30 68 0 30 69 0 30
37.256 38. 745 38. 232 35.716 35.196
46 46 47 48 49
89.066 69.079 69.091 69.103
30
54.947 54.579 64.206 63.829
80 0 30 61 0 30 62 0
34.674 34.l5O 33.623 33. 093 32.680
50 51 52 53 54
69.116 69.127 69.139 69.161 69.163
30 63 0 30 64 0 30
32.025 31.488 30.948 30.406 29.862
65 66 57 58 69
69.175 69.186 69.197 69.209 69.220
29.315
80 61
69.230 69.241 69.251 69.261 69.271
38 0
30 39 0 30 40 0 30 41 0 30 42 0
I
Lenli!hs of degrees of emerldlnn.
Lengths of degrees of the parallel.
-
er .&aM er TBB BARTB'S 8URnCla.
63.448 63.063 52.674 62.281
51.884 61.483
63 0
30 43 0 30 44 0 30
61.078 60. tltlII 60.<1&7 49.840 49.419
M 0
45 0 30 46 0 30 47 0
48. 995 48. 567 48.138 47.700 47.261
30 68 0
4730
46. R18
28. 766 28. 216
30 66 0 30 67 0
38
62
27.661 27.106
63
M
69 0 30
26.548 25.988 25.426 24.862 24.297
70 0
23.729
30
64
69.054
69
69.281 69.290 69.299 69.308 69.316
70
69.324
66 67
68
Tbe lengths of degreES of tbe meridian are tebulated to correspond to tbe length of the arc of whlcb the tabulated latitude Is the middle. thus the quantity 68.99a, opposite latitude 40· 0' Is the number of miles between latitude 39· 30' and 40· 30'. n The above table Is an abridgment 01 a table published by the U. B. Coast and ~ .eodetlc Burvey based on the values of the Clarke spheroid.
204
UBLE 11.-npABIJ!(T TIBE OF SUNSET roK N. SUNRISE FOR S. DECLIN~TIONS.
DECLIN~TIO!(8.
OR
Latitude. Sun's Decl.
25°
,
A
0
6
23 27
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
° 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
20 21 22 23
..
0 2 4 6 7 9 11 13 15 17 19 21 23 25 27
29 31 33
35 37 39 41 43 46 47
30° A
6 6 6 6
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
..
0 2 5 7 9 12 14 16 19 21 23 26
28 31 33 36 38 41 43 46 49 51 54 57 58
35° A
6 6 6 6 6 6 6 6
..
U
3 6 8 11 14 17
20
6 23 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7
25
28 31 34 37 40
43 46 49 53
66 59
2 6 9 11
40° A
'"
6 0 6 3 6 7 6 10 6 13 17 6 20 6 24 6 27 6 31 6 34 6 38 6 41 6 45 6 48 6 52 6 66 6 59 7 3 7 7 7 11 7 15 7 19 7 23 7 25
.,
4,5° A
6 6 6 6 6 6 6 6 6 6 6 6
8
...
0 4 8 12 16
20 24
28 32 36 41 45 49 53 58 2 7 11 16 21 25 30 35 40
6 6 7 7 7 7 7 7 7 7 7 7 43
.
Latitude.
Suo's Dec!. ° 0 1 2 3 4 5 6 7 8 9
, 0
10 11 12 13 14 15 16 17 18 19
20 21 22 23 23 27
50° A
6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8
55°
...
0
5
10 14 19 24
29 34
39 44 49 54 59 4 9 14
20 25 31 37 43 49 55 2
5
A
6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8
..
0 6 11 17
23 29 35 40 46 52 58 4 11 17
23 30
37 44 51 58 5 13 21
29 33
60· A
6 6 6 6 6 6 6 6 6 7 7 7 7 7 7
..
0 7 14 21
28 35 42 49
66
4 11 19 26 34 42 7 51 7 59 8 8 8 17 8 26 8 36 8 47 8 58 9 9 9 15
65° A
6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8
.
0 9 17
26 34 42
52 0 10 19
29 39 48 59 9 ~
8 32 8 44 8 57
9 9 9 10 10 10
10 25 42 0
22 34
70·
•
6 6 6 6 6 6 7 7 7 7 7 8 8 8
.
0 11 22 33 44
66 7 19 31 43
66
9 23 37 8 53 9 10 9 28 9 48 10 13 10 44 12 00
T~BLE
18.--VONVBRSION OF DBGKBBS TO TillE, UB TillE TO DEGRBE8. To red uce degrees to time.
0
-
,
H.M.
0
-,- - - --M.S. M.S.
--- ----" B.T. " B.T. - --- -- ---
I 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 ~ 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 60
0 0
o
4 8 12
~ ~
0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3
24 28 32 36 40 44 48 52 66 0 4 8 12 16 20 24 28 32 36 40 44 48 52 66 0 4 8 12 16 20 24 23 32 36 40 44 48 52 66 0 4 8 12 16 20
51 52 53 54
55 66 57 68 59 60 61 62 63 64 65
66
67 68
69
70 71
72 73 74
75 76 77
78 79 SO 81 82 83 84
85 86 87 88 89 90
91 92
93 94 95
96
97 98 99
100
To reduce time to degrees.
H.M.
3, 24
3 28 3, 32 3 36 3 40 3 44 3 48 3 52 3 66 4 0 4 4 4 8 4 12 4 16 4 20 4 24 4 28 4 32 4 36 4 40 4 44 4 48 4 52 4 66 5 0 5 4 5 8 5 12 5 16 5 20 6 24 5 23 5 32 5 36 5 40 5 44 5 48 5 52 5 66 6 0 6 4 6 8 6 12 6 16 6 20 6 24 6 28 6 32 6 36 6 40
M.
J
-101 102 103 104 105 106 107 108 109 110 115 120 125 130 135 140 145 150 165 160 165 170 175 ISO 186 100 195 200
205 210 215 220 22.'; 230 235 240 245· 250 265 260 270 280
200
300 310 320 330 340 350
360
.; !
~0
l!oS"
~)l
644 648 662 666 7 0 7 4 7 8 7 12 7 16 720 740 8 0 820 840 9 0 920 940 10 0 1020 1040 11 0 1120 1140 12 0 1220 1240 13 0 1320 1340 14 0 U20 1440 15 0 1520 1540 16 0 1620 1640 17 0 1720 18 0 1840 1920 20 0 2040 2120 22 0 22 40 2320 24 0
~
l
~
-
B.
T.
- 1- --1 15
206
1}ji 2
22~
2 30 3 4 2~ 37~ 45 3 5 6 3~ 52~ 4 60 7 8 4~ 67~ 76 5 9 5~ 82~ 10 90 6 11 6~ 97~ 12 105 7 13 7}ji 112}ji 14 120. 15 8 8}ji 127~ 16 135 9 17 9~ 142~ 18 10 150 19 10}ji 157~ 20 21 165 11 11~ 172~ 22 12 180 23 12}ji 187~ 24 195 25 13 13~ 202~ 26 210 14 27 14~ 217~ 28 225 15 29 15}ji 232~ 30 240 31 16 16~ 247}ji 32 17 255 33 17~ 262}ji 34 270 18 35 18~ 277~ 36 19 285 37 19~ 292~
20 2O}ji 21 2131 22 2231 23
38
300
39 30731 40 315 41 322~ 42 330 43 337~ 44 345 45
23~ 352~
24
360
,
, M. --, , B. " " --- -- --" '" T. " '" --0
0
1-
46
47 48 49 50
--015 030 045 1 0 1 15 1 30 1 45 2 0 215 230 245 3 0 315 330 345 4 0 4 15 430 445 5 0 515 530 545 6 0 615 630 645 7 0 7 15 730 7 45 8 0 815 830 845 9 0 9 15 930 945 10 0 1015 1030 1045 11 0 11 15 11 30 1145 12 0 12 15 1230
51 52 53 54
55 66 57 68 59
60 61 62 63 64 65 66 67 68 69 70 71 72
73 74 75 76 77 78 79 SO 81 82 83 84
85 86 87 88 89 00 91 92 93 94
95
96 97 98 99
100
12 45 13 0 13 15 1330 1345 14 0 1415 1430 14 45 15 0 1515 1530 1645 16 0 16 15 1630 1645 17 0 17 15 1730 1745 18 0 1815 1830 1845 19 0 19 15 1930 1945 20 0 20 15 20 30 2045 21 0 21 15 21 30 21 45 22 0 22 15 2230
2245 23 0 23 15 2330 2345 24 0 2415 2430 2445 25 0
TABLE 11I.-SlDEKBAL CONVBKSION8. "
Longitude. O· 0'
2° 30'
5° 0'
0
10
20
7° ,30'
10· 0'
12· 30'
15· 0'
40
50
60
Minutes. Long.
Hours.
. 0 15 30 45
m
8
19 29
0 1 1 1 1
51 1 11 20 30
0 1 1 1 1
53 2 12 22
1 1 1 2 2
38 48 58 8 18
1 1 2 2 2
40 50 0 10 19
1 1 2 2 2
2 2 2 2 3
28 37 47 57 7
2 2 2 2 3
20
49 59 9
3 3 3 3
17 27 37 46
3 3 3 3
18 28 38 48
105 120 135
0 0 1 1 1
49 59
150 165 180 195 210
10 11 12 13 14
225 240 255 270
15 16 17 18 19
300 315 330 345
20 21
285
22 23 Hours.
8
o o o o
5 6 7 8 9
90
m
2 11 21 31 41
o o o o
75
8
o o o o
0 1 2 3 4
60
m
30
0
.
0 10 20 30 39
U
0
39
0
3 13 23 33
43
m
0
8
5
0 15
o o o
25
34
44
8
7 16 26 36 46
m
o o o o
m
o o o o
18 28 38 48
o o o o
56 6 15 25 35
0 1 1 1 1
57 7 17 27 37
0 1 1 1 1
0
8
0
&
m
8
0 10 20 30 39 49
54 4 14 24
32
0 1 1 1 1
34
0 1 1 1 1
.42 52 1 11 21
1 1 2 2 2
43 53 3 13 23
1 1 2 2 2
45 55 5 15 24
1 1 2 2 2
47 56 6 16 26
2 2 2 3 3
31 41 51 0 10
2 2 2 3 3
33
42 52 2 12
2 2 2 3 3
34 44 54 4 14
2 2 2 3 3
36 46 56 5 15
2 2 2 3 3
37 47 57 7 17
3 3 3 3
20 30
3 3 3 3
3 3 3 3
23
32 41
33
3 3 3 3
25 35 45 55
3 3 3 3
27 37 46
40 50
22
51
43 53
.
59 9 19 20 38
1 48 58 2 8 2 18 2 28
56
Bldereallnto mean solar time: To be subtracted from a sidereal time Interval: Argument hours and minutes of sJdereallnterval. Mean Solar Into sidereal time: To be added toa mean time Interval: Argument hours and minutes of mean time Interval. Upper culmination of Polaris: Amount to be subtracted from tbe Greenwich mean time of upper culmination of Polaris, or of elOngation! to obtain the local mean time of upper culmInation, or of elongation: Argument long tude west from Greenwich. The above table Is an abridged mean of two tables given In the American Ephemeris and Nautical Almanac for similar conversions; reductions Involving II refinement exceeding 0.8 seconds must be made from the more elaborate tables.
207
T.lBLB ••-.BAW BBPltACI'ION8 IN nInTH DISTAWCB. B~.=29.6
!ftftBn!nt t tude.
°
,
RefractIon.
,
"
7 30
6 53
Ins.
~Bn!nt
t1tude.
°
12
,
0
4 2S
40
46
12 30
37
13
0
30
13 30
10
27
14
20
15
14 30
8 60
g
0
!ftftBn!nt t tude.
Refraction.
0
,
2S
2
15
26
1 68
5
Z1
53
3 56
28
48
47
29
44
39
30
40
"
4
0
"3
8
15
0
32
32
32
2
15 30
25
34
25
5 55
0
19
36
19
16 30
13
38
14
7
30
40
Refraction.
,
7 60 8
"- F. Temp.=50°
6
0
49
16
10
43
17
40
9
20
38
17 30
3
1
42
4
80
32
18
0
2 56
44
1
40
26
18 30
51
4&.
0 56
g 60
21
19
0
46
(8
52
16
19 30
42
60
48
6
20
0
37
55
4C!
4 57
21
0
29
60
33
0
48
22
0
22
65
Z1
20
40
23
0
15
70
21
32
24
0
9
80
4 25
25
0
3
90
10
0 20
10 40 11
11 40 12
0
6
0
2
0
10 0
0
SUN'S PARALLAX IN ALTITUDE. Apparent altitude .. • .. ····•• .. 1 0° I Sun's parallax ................ 8".9 I
208
630 26° I
8"
48° I
6"
4"
1
77° I
2/1
90° I
0"
TilLE !t.-tOEFI'ICIENTS TO APPLY TO MEAN REFRACTIONS FOR VARIATIONS IN BAROMETER AND TEMPERATURE.
Barometer.
Elevatlon above sealevel.
Coetllclent.
Barometer.
Elevat100
above sealevel.
Coetllcleat.
Temperature (Fahr.).
Coetllcleot.
.
- - -- - -- - - - - -- - - - - - - - ---1m.
1m.
FUll.
Feet.
30.5
.... 451
1.03
25.4
4,535
0.86
-24
30.2
-181
1.02
25.1
4,859
.85
17
1.15
30.0
00
1.01
24.8
5,186
.84
-9
1.13
1.17
29.9
+ 91
1.01
24.5
5,518
.83
0
1.11
29.6
366
1.00
24.2
5,854
.82
+8
1.09
29.3
643
.99
23.9
6,194
.81
16
1.07
29.0
924
.98
23.6
6,538
.80
25
1.05
28.7
1,207
.97
23.3
6,887
.79
35
1.03
28.4
1,493
.00
23.0
7,239
.78
40
1.02
28.1
1,783
.95
22.7
7,$7
.77
45
1.01 1.00
27.8
2,075
.94
22.4
7,960
.76
IiO
27.5
2,371
.93
22.1
8,327
.75
55
.99
27.2
2,670,
.92
21.8
8,700
.74
60
.98
26.9
2,972
.91
21.5
9,077
.73
66
.97
26.6
3,277
.90
21.2
9,460
.72
77
.95
26.3
3, Ii86
.89
20.9
9,848
.71
88
.93
26.0
3,899
.88
20.6
10,242
.70
100
.91
25.7
4,215
.67
20.3
10,642
.69
114
.89
25.4
4,535
.86
20.0
11,047
.68
128
.67
Any tree refraction either In Zflolth or polar dlBtaIIcfJ-tebDlated refractIon X coeftlclent for barometric pressure X coetllclflnt for temperatW'fJ. The dl1ferences between the tree and the tebDlated refractIons are' geJlflI'IIIIy small and generally negligible excepting for the combined ell!lct of low apparent altitude of observation with hIgh elevation above sealevel or extremes of temper&tW'fJ.
414'19-10---14
TABLE Illl.-COEI'I'ICIII:NTS I'OR COMPUTING ERBOBS IN .lZIIIUTH DUE TO SMALL ERROBS IN DECLINATION OR LATITUDE, TABULATED FOR l' ERROBS. '"
Hours from noon. '
Lat, --0
25
30
.
35
, ! , ,
40
45
50
.. ' 55 : 60
65
70
,t
2
3
4
6
Ii
2.21
1.56
1,27
1.14
1.10 '
Lat.
1.91
1.10'
0.64.
0.30'
0.00
{Decl. !,at.
2.31
1.6.'l
1:33
1.2D
1.15 :
2.00
1;15
0.67
0.81
0.00!
C~
2.44
1.73
1.41'
1.26
1.22 '
1.22
0.70
0.33
0.00
{Dec\.
2.61
1.85
1.51' '
1.35
, !,at.
2.26
1,31
0.75-
(1.36
eel
2.83
'2:00
1.63
1.411,
1.41
2.45
:1.41
0.82
0.88
0.00 :
3.11
2.2D
1.80
1.61
1.56 :
2.69
1.56
0.90'
0.42 '
0.00
3.49
2;47
2.01
1.80
1.74
'3.02
1.74
1.01
'0.4'1'
' -4.00
2;83
2.31
,2.07"
2.00,
3.46
:a. 00
1.15
o.M
0.00 ,
•. 73
3.35
2.73
2.45
2.37
..10
2.87
1.37
0.63
0.00'
3.38
' 3.03 '
2.92
1;69,
0.78
0.00
eeL
t
Lat.
.
,{Decl. , Lat. eel
Lat.
•
tee\. I:.at.
: ;
eel
, Lat.
t
2.11
.
{Decl. , I,at.
t
;
,
:
"
I
&.85
4.13
&.06
7·92
'
'
,
1.31
,
0.00
0.00'
The coeffie\entslor noon became In1InIte1y large. Direction of errors In azimuth from true'sonth: To the east-In the a. m., to the west In the:p. m.J.,atltude set or _ e d to the N. of the,true latitude, noon to six hours, Latitude set or assumed to the S. of the true latltllde, beyond six hours; Declination set or assumed to the S. of the true deellnation, all hours. To the west In the a. m" to the east In the p. m.Latitude set or assumed to the S. of the true latitude, noon to six hours. Latitude set or assumed to the N. of the true latitude, beyond six hours. Declination set or assumed to the N. of the true declination, all hours. The error Is considered as the erroneous fixation of the south point.
,~.no
r· ••.•
TABLIl U.-JlEAN BEFBACTlONS IN POLAR DJSTANCB. Bsr.-29.6lns. Temp.-roo F.
Hours from ':15°0' 27° 80' 30° 0' noon.
, 0 2 3 4 6 6
. • "
Latitude. 25° 0' 27° 30'
DecI.-23° 27' N;
"2
0 0 6 0 8 0 20 0 44 2 7
,
"
0 0 7 0 12 0 23 0 f9 2 9
0, 0 0 0 0 2
7
10
16 27 53 10
0
8 0 0 16 0 0 28 0. : 1 49 2
11 11
0 0 0 2
10 13 19 31 0 62
0 0 II 0 0 2
3
4 6
0 0 0 0 1
161 19 26 37 10
0 0 0 0 1
24 28 34 50 33 1
0 22 181 028 042 1 17
o 13 o .16 o 23 o 35 1 6 2 65
, 6
0 2 3 4 5
I'
0 0 0 0 0 11
11 17 29
55 16
, 0 0 0 0 0 :l
10 14 19 31 69 15
0 0 0 0 1
24 22 0250 28 18102110 35 28 0 31 " 41 0 46 0 51 17 1251 33
0 0 0 0 1
0 0 0 0 1
27 31 38 65 42 1
0 0 0 0 1 3
13 16
22
35 6 19
0 0 0 0 1 3
0 21 26 0'7 1 24
16 19 26 39 10
030 0 34 0 42 1 0 1 53 1
0 40 037 38 042 0 '7 0 46 050 0 56 1 331 4 1 11 1 1 19 2 41 2 6'223
0
0 0 0 1 2
9 14 25 50 29
,
0 0 0 0 0 2
,
"8
0 0 0 0 1 2
11 17 28 65 31
"10
14 20 32 0: '33
13 16 22 34 4
'9
0 0 0 0 1 3
16 19 25 38 11 63
o 18 0,22 o 29 o 43 1 ,17 3 67
25 028031: 2110241027 31 "34 0 ,,38 46 0 61 0 66 25 133 142' Decl._2° 30' S.
0 33 0 38 0 47 1 6 2 5
,0 0 0 0 1
Decl.-7" 30' 8.
«)
"5
Deci.-5° 0' N.
Declo-O· 0'. 30 34 42 1 53
DecI.-20· 0' N •
Decl.- 12· 30' N.
22
becl.-5~ 0' S. :
5 8 13 26 61
"8
Decl.-7° 30' N.
1132
027 0 0 31 0 038 0 0651 1431 1
0 0 0 0 0 2
,
0 0 0 0 1 3
0 0 0 0, 0 3
Decl.-2° 30' N, 0 2 3
3 6 10 22 46 12
"
26· 0' Zlo 80' 30° 0'
Decl.-15° 0' N.
Decl.-l0· 0' N. 0 2
,
, "
DecL-17" 30' N. 0 ,2 3 4 6 6
30° 0'
Decl.-22° 30' N.
30 34 41 69 62 1
033 0 0 38 0 0 46 0 1 5 1 2 5 12
Dect-l0·
44 42 0 46 0 51 37104010 49 0 55 1 1 10 1 18 1 27 20 2 43 3 6
0 0 0 1 2
(J'
37 42 61 12 20
8.
46 0 60 0 65, 4010'41048 63 1 ,0 1 7: 17 1 26 1 36" 3935336
:
Decl.-12" 30' S. 0 2· 3 4
0 0 0 1 1
0 2 3 4
0 1 1 1 2
4~
441°~10
50 58 24 51
065 1 1 5 1 1341 2 9 2
Decl.-15 ° 0' S. 6,3 0 13 46 28
0 0 0. 1 0 1 48105310 1 4 1 12 1 1 31 1 43 1 2 2 2 23 2
9 18 37 28 47
1 3 1 11 1 25 2 4 2 53
4~
1 3 1 11 1 27 2 8 3 3
1 1 1 2 3
6
20 57 47
Decl.= 22° 30' S,
DecI.- 20· 0' S. 58 5 18 52 30
Decl.-17· 30' 8. 58
1 1 1 2 3
211
9 18 3., 23 34
1 1 1 2
!
'TT'
069151'12, 1 11 1 19 1 28 1'0154211 2 14 2 40 3 13, Decl.-23° 27' 8.
15 26 46
48 4 31
1 6 1 13 1 28 2 10 3 11
1 1 1 2 3
12 20 38 32 57
1 1 1 2 5
18 29
60 58 0
TABLE n.-MEAN REFRACTIONS IN POLAR M8TA.NCII:. Bar.-29.61ns. Temp.-50" F.
--Latitude. Hours from 30° 0' noon.
, 0 2 3 4 5 6 6~
0 0 0 0 0 2 4
32" 30'
~"
0'
37" 30'
40° 0'
42° 30' 45" 0'
47" 30' 50·0'
Declination of the sun, 23" 27' N.
"7 10 16 27 53 10 35
, 0 0 0 0 0 2
,
"9 13 19 30 TiT 11 14
, 0 0 0 0 1 2 3
"
12 16 22 34 0 11 57
,
,
"
0 Iii 0 19 0 2li 0 ~ 1 2 11 3 44
,
0 0 0 0 1 2 3
"
18 22 28 41 7 11 33
,
"
20 24 31 .5 11 2 11 3 23 0 0 0 0 1
,
"
0 23 0 27 0 ~ 0 49 1 14 2 11 3 15
,
"
0 0 0 0
28 30 38
3
7
0 0 0 0 1 2 3
27
29 36 51 16 17 23
27 32 39 55 24 53 36 7
0 0 0 0 1 1 2 3
30
30
0 0 0 1 1 2 2
33 38 '7 4
53
1 17 2 11
,
"
0 0 0 0 1 2 3
29 34 '1 Ii6 20 12 0
0 0 0 0 1 2 3
30 35 43 08 23 18 7
0 0 0 1 1 1 2 3
33 38 48 2 31 08 36 49
0 0 0 1 1 2 2
37
0 0 0 1 1 2 3
40 '7 li7 14 51 26 30
Declination orthe sun, 22" 30' N. 0
2
3 4 5 6
6~
0 2 3
, 5 5~
6
6~
•
17 38
0 0 0 0 1 2 4
13 17 23 35 2 17 17
0 0 0 0 1 1 2 Ii
13 16 23 35 4 32 34 40
0 0 0 0 1 1 2 5
16 19 26 39 8 37 34
0 0 0 0 0 2 5
8 11 17 29 55 16 3
0 0 0 0 0 2
0 0 0 0 1 1 2 6
10 14 20 32 0 27 33 12
10 14
20 32 59
0 0 0 0 1 2 4
16 20 26 39 6 17 1
0 0 0 0 1 2 3
18 23 29 43
10 17 47
0 0 0 0 1 2 3
21 28 32 47 13 17 34
0 0 0 0 1 2 3
24
32 40 55 20 17 14
Declination orthe sun, 20" 0' N.
14
0 0 0 0 1 1 2 4
18 22 29 43
12 41 35 52
0 0 0 0 1 1 2 4
21 25 32 47 16 45 35 34
0 0 0 0 1 1 2 4
24 28 35 51
20 49 36 19
0 0 0 0 1 1 2 4
~
43 59
28 Ii6 36 TiT
Declination of the sun, 17° 30' N. 0 2 3
, 5
5~
6
5 37 55
0 0 0 0 1 1 2
16 19 26 39 10 C 56
o o o o
16 19 26 39 10 48 22
0 0 0 0 1 1 3
18 22 29 44 16 53 24
0 0 0 0 1 1 3
13 16 23
0 0 0 0 1 1 2
35
0 0 0 0 1 1 3
18 22 29 43
1 14 1 46 2 56
0 0 0 0 1 1 2
21 25 32 47 19 51 57
0 0 0 0 1 1 2
24 28 36 51 23 55 08
0 0 0 0 1 2 2
27 31 39 55 27 0
59
0 0 0 1 1 2 2
35
43 0
32 4
59
~
7
59
C 52 7 40 10 Il9
DeclIn&tlon of the sun, 15° 0' N. 0 2 3 4 Ii
5~
6
21 25 33 48 21 58 25
0 0 0 0 1 2 3
24 28 36
52 26 3 26
0 0 0 0 1 2 3
212
27 31 40 56 31 8
27
0 0 0 1 1 2 3
30 M 44 0 36 13 28
0 0 0 1 1 2 3
33 38 48 Ii .1 18 28
0 37 0 C 0 1 1 2 3
li2 9 46 22 29
TABLE !8.-.IAN REFRACTIONS IN POUR DISTA.NCB. Bar.-29.6Ins
Hours from noon.
Latitude. 30"0"
, 0 2 3 4 6 5~
6
Temp.-50' F.
0 0 0 0 1 2 3
"
18 22 29 43 17 0 57
32' 3fT 35°0'
, 0 0 0 0 1 2 4
37" 30'
40'0'
42· 30'
411°0'
47° 30'
50·0'
Declination of the 8IID, 12' 30' N.
"
21 25
32 47 23 6 0
., " o 24 o 28 o 36 o 52
1 29 2 12 4 4
, 0 0 0 0 1 2 4
,
"
27 31 40 56 35 18 6
0 0 0 1 1 2 4
"
30 34 44 1 40 24 7
, 0 0 0 1 1 2 4
"
33 38 48 6 46 30 8
, 0 0 0 1 1 2 4
"
37 42 52 11 51 31' 8
, 0 0 0 1 1 2 4
"
40 46 57 16 57 41
,
"
0 0 1 1 2 2 4
44 51 2 21 4
1 2 1 23 2 11 3 6 5 8
0 0 1 1 2 3 5
48 56 7 29 19 13 9
25 20 29
0 0 1 1 2 3
48 56 8 32 29 39
0 1 1 1 2 3
53 1 13 38 38 48
48 06 8 33 40 10
0 1 1 1 2 4
53 1 14 41 51 23
0 1 1 1 3 4
58 6 20 48 2
0 53 1 1 1 14 1 43 3 5 5 9
0 1 1 1 3 5
58 6 21 52 19 28
1 1 1 2 3 5
28
10
46
11
Declination of the sun, 10· 0' N. 0 2 3 4 6
5~
6
0 0 0 0 1 2 4
21 25
32 47
24
14 50
0 0 0 0 1 2 4
24
51 31 22 64
0 0 0 0 1 2 4
0 27 0 31 It 39 0 56 1 40 2 41
0 0 0 1 1 2
43 1 48 52
tl 0 0 1 1 3
0 0 0 1 2 3
33 38 48 7 0 18
28
35
27 32
39 56 38 30 68
0 0 0 1 1 2 5
30
35 44 1 45 38 1
0 0 0 1 1 2 6
33 38 49 7 51 45 3
0 0 0 1 1 2 6
37 42 53 12 57 52 5
0 0 0 1 2 2 5
40 47 57 18 4 59 6
0 44
0 51
Declination of the sun, 7° 30' N. 0 2 3 4 5 5~
0 0 0 0 1 2
24 28
35
51 33 31
30
35
0 0 0 1 1 3
33 38 48 7
50 2
0 0 0 1 2 3
3'( 42 53 13 4 11
0 0 0 1 2 3
40
46
58 19 12 20
0 0 1 1 2 3
44 51 2
Declination olthe 8IID, 5° 0' N. 0 2 3 4 5 5~
0 0 0 0 1 2
27 31 38 56 42 53
30 34 43 1 51 5
0 0 0 1 2 3
37 42 53 13 10 31
0 0 0 1 2 3
40 47 58 19 20 44
0 0 1 1 2 3
44 51 3 26 30 57
0 0 1 1 2 4
35
Declination of the SUD, 2° 30' N. 0 2 3 4 5 5~
0 0 0 1 1 3
30 34 42 1 53 21
0 33 38 0 47 1 7 2 3 3 37
()
0 0 0 1 2 3
37 42 52 14 14 53
0 0 0 1 2 4
40 46 58 29 27 11
0 0 1 1 2 4
218
44
51 3 27 39 29
0 0 1 1 2 4
48 56 9
35
52 49
3 12 1 33 47
TABLE H.-DAN BEI'RACTIONS IN POLAR DISTANCI!l. Bar.=29.61ns. Temp.=.'iO" F. - ----
...
Hours from noon. , 30" 0'
Latitude.
32"3Q'
35" 0'
,
37" 3C1
40"0'
42",30'
I
0 2
3 4 4Y2 5
0 0 0 1 1 2
"
33 38 47 ' 6' 26 5
I
II,
0 37 0 42 0 52 1 13· 1 35 2 18
I
0 0 0 1 ,1 2
"
40 47 57 21 44 32
I
II'
I
0 0 1 1 1 2
44 51 3 28 54 47
0 48 0 56 1 ~ 1 36 2 4 3 Z
"
t
.,,\
0 1 1 1 2 3
53' 1 15 45 16 '19
, \' II
0 1 1 1 2 3 _ i
~
58 7 '21 54 29 37
,,~
I'
1 1 1 2 2 3
3 13 28 4 4256
Declination of the sun, 2" 30' B. 0 2 3 4 4Y2 5
0 0 0 1 1 2
37 42 51 12 34 20
0 0 0 1 1 2
40 46 57 20 45 36
0 0 1 1 1 2
44 51 2 28 56 54
0 48 n 56 1 8 1 37 2 8 3 13
0 1 1 1 2 3
53 1 15' 46 21 32
0 1 1 1 2 3
DeclInation of the sun, 0 2 '3 4 4~
5
0 0 0 1 1 2
40 47 56' 19 44
41
0 0 1 1 1 2
44 51 2 28 57 59'
0 0 1 1 2 3
48 56 8 37 10 22
0 1 I, 1 2 3
53 1 14 47 24 47
0 1 1 1 2 4
58 7 21 58 40' 15
1 1 1 2 2 4
58 7 22' 57' 34 55'
1 1 1 2 2 4-
46
.. '
,
"
1 9 1 18 1 31\ 2 16
2 55
4 10
3 13 29 8 50 20
1 9 1 201 31' 2 20 3 7 4., 47 -
1 1 1 2 3 5
15 '31 46 34
25 16
0 0 I1 1 3
44
51 I 27: 56 6
0 0 1 1 2 3
48, 55 8 37 11 30
0 1 1 1 2 3
53 1 15 47 27 59
0 1 1 1 2 4
58 6 22 59 44 34
1 1 1 2 3 5
3 13 30 12 4 13
1 1 1 2 3 5
9 20 38 28, 27 57-
1 1 1 2 3' 6
15 1 22 28 1 36 48, 1 59 40 2 57 40 4 6 2 6 52
1 15 1 28 1 48 2 45' 3 536 45
1 1 2 3 4'
22 37 0- ' 4' 26
0 48 0 55 1 71 36 -~ 11
0 1 1 1 2
53, '0 58 0 1 6 14 1 22 47, 1 59 2' 47 28
1 1 1 2 3
3 12 30 13 10
1 1 1 2 3
214
9 19 39 30 36
1 1 1 2 4
15 27 49 49 8
1 1 2 3 4
I
,
·· I
,! :
!,
, ,I i
·! t
~ 1 30
i
46
2 1Il 3 27 5 4 :
;
,Declination of the Bun, 10· 0' B. 0 2 3 4 4Y2
·i
I
Declination of the SUD, 7" 30' B. 0 Z 3, 4 4Y2 0
;
I
-
9 20 38 25.' 17" 21'
1 1 1 2 3 5
,, !
I
;
o· 0' g,. 3 13 29 11' 57
m"O'
47" 30"
45" 0'
DeclbmtiOll or the SUD, 0" 0'.
22 36 1 10 44-
1 1 2' 3
30 46 15 36: 5 30
1 1 2 4 6
40 58 31 7 28
T.lBLlI H •...;.IIIilAN RDBACI'IONS IN POLAR DISTANCE. Bar.-29.6Ins. Temp.-50° F: ...
Hours from noon.
0 II 3 '4
,4~
...
.----
.
,,'
Latitude. 30"0'
, :
-- --
_-
"
0'
63 1 0 1 13 } 46 2 28
32°80' '35"0'
37~
40"0'
42°30'
'45"0'
~
3
3~
4
4~
!
0 2 3
,~
0 1 1 1 1 2
58
,
6 20
,
34 57 47
11 12 3 1-28 1 43 2 11
58 6 21' 59
49
3 12 28 45 14 15
I
1 1 1 2 3
1 1 '1 1 2 3
,
I I 11 1 1 2
"3
13 ,30 14 13
I
1 1 1 2 3
"9 20 39' 31' 44'
I
1 1 1 2 4
"
15
27' 50'
52'.'
20
I
1 1 2 3 5
I
"
22 :36 ' 1'
16 5
199 37 57 ,31
9 20
38 57
33 47
1 15 1 1 2 2 4
2S 49 12' 55' 29
1 1 '2, 2 ,3 5
22 36 2 29 20 20
1 .1 2 2 3 6
!
1 I, 2 3 6
,
0 2 3 3~
4
Ii
I
"
30 46 16' 43 ;0
1 1 1 2 2
15 28 48 12 55 1
122 1 37 ,2 1 2 29 3 ,23 1
1 1 2 2 3 57
fi,[
11 2 3 4,
1~
I' 21 2 3
46 3O[ 16 50 56
1 21 ,3 ,4.
58 40[ 35 17 47,
12 2 3 5
Declination Of the spa;
, ;
,i
,
0 2 2~
3
3~
4
15'
216
34 46, 7 48
1 '22 1 35 1 45
,I 59, :1 25 ,3 19
1 30 1 45 1 &1 2 15, 2' 48 3 ',57
'ID" ~
1 57 2 12 2'11 '2 !8 ,2 34 2 ,57 .3 'IS' 3 '5l'. 4 46' 5' 56
1 2 2 3 5
58 34 12 30
..
2
2~
3
3~
4
1 1 1 1 2 2
18 29 36 50 15 58
1 251 39 1 49 2 6
2 33 3 32
l' 1 2 2 2 4
34 50 3 23 58 17
1 « 2 3 2 IS 2 44 3 32 :; 14
1 2 2 3 4 6
55" IS 37 9 12 45
;
3
i
3 2(j 21' 6
!
2 26
"
,
I
"
!b:1 '01'
~' ~.
,.
1
12 50 58 51 '58,
2" 3" 2 29 2 49 3 26, 4 38:I
..
,"j I . "v
9" 37. 1 43 4
,.
,
:n !, " , ;
18 2 26 21 48 3 22' 4 04' .2S: Ii 2"I, 6 "56, :
1 50 '40 58 [ 2 12 35 2 57 15 3 42', 5
i I
i I
! "
37 2 29 3 [ 2 47 , 17 .3 26 4 0 4 54 4 a6; li3O: 7, 1,
zr 3!Y S.: '.
2'" 2 3 3 li
, : , ; ,, .," i
~
50 10 54 42 IS '
'.;
2'18' 2 49 3 16 ,4 4 5,,:43;
I
,
I
,
!
I I
~
3 13 3 63 3 50 4. 32 ""] ,4 56. i6 10 '
Declination of the sj,m, ?!,,?;I' ~.'
I0
"
" 1 40 11 50 1: "57· 2 11, 2 33' Z 52 419: 5 ~
40
Declination of the sun; 11° 30' S:'
1 1 15 [ 1 36 1 11 27 1 37 [ 1 47 2 22[ o 1 54 2 10 2 29 2 28' 2· 52 3 21
,I' 1 1 ,I 2 2'
1 1 2 3 4
30 46 '16 48" 52 2S
DecUnation cif the san, 20° ;
; I
"
0 1 1 1 2
1 1 1 1 2 ~
,
Declination of the SlID, 12° 30'S.
Declination of the SlID, 15° iY S. ' 0
' 50"0"
47"30'
Il' ''25:' 2 3 0- .3 a 31 4 4 27 6 6 26
,
" "
,,
I I
!
:
'46' 28 11 26
Ii
3 1~ A .10. 5 9 7 1
'l'nUII.-DAN aDtiC'l'I()N8 IN HILla ......lIM1L Ber.-28.81D8. Temp.-liO" F. Hours
from noon. 50" 0" 62" 80'
, 0 2 3 4
5· 6
0 0 0 0 1 2
"
29 34 41 58
20 1~
o 30 0.35
0 2 3 4 6 6
o
0 2 3 4 6 6
0 0 0 1 1 2
33
0 2 3 4 5 6
0 0 0 1 ' 1 2
37 42
o
43 68
1 23 2 18
LatItude. 66"0' 67" 10'
80" 0' 82" 10'
86·0' 87" 10'
Declination of the BUD, 23· '¥T' N.
, 0 0 0 0 1
"
32
37 44 59
23 2 12
.
,
" o 35
o o
41
48
1 2 1 26
2 12
,
, "
0 0 0 1 1 ~
39 .44 52 5 29 12
0 0 0 1 1 2
"
42 48 58
9 32 12
,
0 0 1 1 1
"
48 62
0 13 35 2 12
, " o 51
o
57 1 5 1 18 1 38 2 1~
, 0 1 1 1 1 2
"
58
1
9
22 41 12
70" 0'
,
"
1 1 1 1 1 2
1 6 14 26 44
1 1 1 1 1 2
:I 8 16
12
DecUnaUon of the BUD, 22" ao' N •
0 0 0 1 1 2
33
0 0 0 1 1 2
37
38 48
1 26 18
0 0 0 1 1 2
37 42 50
4 29 18
0 0 0 1 1 2
40 45
54
7 32
18
0 0 0 1 1 2
44 49 68
11 35 18
0 0 1 1 1 2
48
63
2 15
38
18
0 0 1 1 1 2
53 68
7 20 42
18
0 1 1 1 1 2
68
3 11 24 45
18
28 48
18
DecUnation of the BUD, 20" 0' N. 38 48
2 31 36
42 51 6 34 36
0 0 0 1 1 2
40
48
66 10 38
36
0 0 0 1 1 2
44 50 69
14 41
36
0 0 1 1 1 2
48
54
3 18
45
36
0 0 1 1 1 2
68 68
8 22 49 36
36
1 1 1 1 1 2
1 3 1 9 1 20 1 88 2 7 2 69
1 1 1 1 2 3
0 1 1 1 1 ~
68 3
13 '¥T
63
3
9
18 32
57 37
1 1 1 1 2 2
9 15 24 38
1 37
Declination of the SUD, 17" 80' N.
62 7
40 69
0 0 0 1 1 ~
40
48
66 12
44
69
0 0 1 1 1 2
44 50
0 17 48 !ill
0 0 1 1 1 2
48
54
4 21 62 69
0 0 1 1 1 2
63 69 II
26 67 69
0 1 1 1 2 2
68
4 14 31 2 !ill
Declination of the BUn, 16" 0' N. 0 2 3 4 6 6
0 0 0 1 1 3
40 47 57 14 51 30
0 0 1 1 1
a
44 61 1 19 58 30
0 0 1 1 2 3
48 55
6 24 1 30
0 1 1 1 2 3
63
0 10 29
6 30
0 1 1 1 2 3
218·
68
6 15 35 12 30
1 1 1 1 2 3
3 10 21 41 17 30
1 1 1 1 2 3
9
16 28 47 23 30
1 1 1 1 2
a
16 22 33 49 15 0
T
16 26 42 11
1 1 1 2 3
15 23 35
1 1 1 2 2 3
o
54 28
31
22
ao
43
1 34 31
'I'ABLB II.-MBAH Ut'lLlC'l'IOH8 IN POLAR Dl8TANCB; Bar.-29.6Ins.
Latitude.
Hours rrom noon.
Temp.-50· F.
SOo 0'
..
62° 30'
MOO'
67" 30'
60"0'
62" 30'
65°0'
67° 30'
70· 0'
Declination or the SUD, 12· 30' N.
, "
,
0 2 3 4 6 6
0 0 51 1 2 1 21 2 4 4 11
0 0 1 1 2 4
" 48
,
, "
"
56 7 'rl 10 12
0 1 1 1 2 4
53 1 12 32 16 12
0 2 3 4 6 6
0 481 0 53 0 1 1 1 12 1 1 1 35 2 2 26 5 9 f>
0 1 1 1 2 6
58 7 18 42 34 10
0 2 3 4 5
0 1 1 1 2
0 2 3 4 5
0 1 1 1 49 3 2
0 2 3 4 6
1 1 1 2 3
0 1 1 1 2 4
58 6
17 38 22 12
, "
1 1 1 1 2 4
3 11 22 45 29 12
, 1 1 1 1 2 4
"9 17 29 52 35 12
, "
, "
, "
1 1 1 1 2 4
15 23 37 59 42 13
1 1 1 2 2 4
22 30 45 7 49 13
1 1 1 2 2 4
30 39 64 16 57 13
22 32 47 14 7 11
1 1 1 2 3 6
30 41 56 24 16 12
1 1 2 2 3 6
40 50 6 34 26 12
~I
1 1 2 2 3
50 62 40 112 3 9 2 21 .. 2 57 53 4 6
1 2 2 3 4
3 4 12 2 18 50 27 2 40 10 3 27 42 6 1
Declination or the sun, 10" 0' N.
~I
il
1 1 1 1 2 5
3 12 24 49 42 10
1 1 1 1 2 6
9 18 31 57 50 10
1 1 1 2 2 6
15 25 39 5 58 11
1 1 1 2 3 5
Declination or the sun, 7° 30' N.
5~
0 1 1 W 1 26 1341 1 12 1 31191115112211 1 ~ 1 0 1 5 0 1 59 1 19 1 1 25 1 45 1 53 2 2 2 11 2 21 2 32 2 47 2 67 3 7 3 17 3 28 3 40 Declination or the.sUD, 6" 0' N.
~I ~I
1 1 ~ 1 26 1 35 1.. 1 911161122113011 1 43 1 52 2 2 2 1 34 2 5 2 16 2 28 2 41 2 3 2 6 3 3 9 3 5 3 4 8 4 24
~I dl
1 1 1 2 4
1 1 1 2 4
1 1 1 2 5
1 1 1 1 3 14
nl
Declination or the sun, 2" 30' N.
0 2 3 4 6
1 1 1 2 4
1 1 1 2 12 3 50
9 18 36 16 16
16 26 45
29 38
25 1 34 1« 1 M 2 1511221130114011 44154262182 21 2 34 2 49 3 6 3 6425445575 Declination 22 34 M 43 2
1 1 2 2 6
30 43 7 58 29
or the SUD, O· 0'. 1 1 2 3 5
217
40 64 20 16 59
1 50 2 6 2 35 3 36 6 ~
~I
2 3 2 20 2 53 4 0 7 13
2 2 20 2 4831 3 « 6 o
2 18 2 37 3 5 4 8 6 31
2 2 3 4 7
2 37 3 1 3 39 5 3 8 53
18 38 14 28 59
TABLE M.-TRIOONOMHRIC PORMUL.4.8 FOR THB SOLUTION 0 .. PLANB TRIANGLES.
Let A - angle BA C- arc BF,and let the radius AF= AB = AH= 1We then have . H Jr G . sin A ~BC cos A = AC tan A =DF rotA - HO sec A
_AD
cosecA -AO . verslnA ~ CF- BE covers.A - BK = HL exsecA = BD coexsec A = BO chordA ... BF chord 2 A - BI- 2BC
In the rlght,angled triangle AB C LetAB - c,A C- b,and BC- a. We then have: 1. sIn A
a c
,2. rosA
c-
3. tan A
b
4. rotA
a
5. seeA6. cosec A
b
a b
c
b c a
Flo 1.'
=cosB
11. a- csln A - b tanA·
=slnB
12. b=ccosA-acotA
- cotB
13. c- sin A - cos ...
- tanB
14. a- ccosB- bcotB
= coseoB
15. b - c sin B - a tan·B
= seeB
16. c =cosB-sinB
a
a
b
b
7, ·vers A
c-b - -c- - covers B
17. a - ..J (c+b) (c-b),
8. exsec:.d.
c-b - -b- - ooe:l9ec B
18. b- ..J(c+a) (c-a)
9. covers A
c-a - -c-= verslnB
19. c - ..J a'+b'
JO. ooexsec A . - ~ a - eXsec B
20.
21. area -
ab ""2
211··
C- 90°- A+B
T.&81.E U:-TBIGO.OIlETBIC YO&MULA.S I'OB 'I'UII SOLllTIOII OF PLAN. , TRIANGLES. ;. SOLUTION
or
OBLIQUE TRIANGLBB.
B .
'
•
..
,
,
.
.
.
. ,
C
..
..
.
6
A
C
FIG. 2.
GIVEN.
A,B,a
22.
FORIlULA.
BOUGHT.
.C,b,e
..,
-
...
II
C_I80 0_(A+B),
'.
b- sln A' sin B,
.
e-Si:"" sin (A +B)
sinB-8~.b,
'.':
. D-1800-(A+B),
23
.A,II,b
B, C,e
~
C,CJ,b
~(A+B)
~(A+B)_900_%
25
~(A-B)
a-b tan ~(A -B)~ a+b tan ).i(A +B)
26
A,B
II
c-Si: A . sin C.
'.
·n
e
..
area
28
'29
a,b,e
A
cos ~(A+B)_' • e=«Hb)cos %(A-B) ";o'+fJJ-2 II b cos C area- % " b sin C.
~(a+b+e); sin ~ A-.J(8-b~ ~8-e)
cos J,2 ;'=.J8(8-"); tan
30 r,I"
C
A-~(A+B)+~(A-B), B_~(A+B)-~(A-B)
Let _
.
:.
).2 A_.J(8-b)(8-e)
b.e,
. 8(8-a)
sin .A_ 2 ";8(.-a) (. b) (, . e); . be
'31 ",
cos A= fJJ+cL-o'
.'
2be
32 33
.A:B, e,G '.
.,
area
are.-,,;.(.
area
_OSslnB,alnO ., ,.allDA .
219
a) (.-b) (. e)
,
~.
.'
TABLE 1!5.-TBIGONOMBTBIC FORMULAS FOR THE SOLUTION OF STA.U MEASUREMENTS, OBSERVATIONS FOR TIME, LATITUDE AND AZI. MUTH, AND PROBLEMS IN CONVERGENCY.
NOTATION.
"mE
EPBElfEB.JS."
"Ephemeris of the Sun and Polaris, and Tables of Aslmutha of Polaris," prepared under the direction of the Commissioner of the General Land 01l!ce. "~": The symbol for approximation.
"11." Observed vertical angle; In altitude observations on the sun, the reductions to thl' sun'scenter both vertically and horizontally, as well as Instrumental errors, are ellml. nated by taking direct and reversed observations on tbe opposite 11m bs of the sun, and the mean observed vertical angle to the sun'scenterls to be considered .. ~" In the notation. In single observations the vertical reduction to tbe sun's center= 16'; a retlnement Is bad by referring to the Ephemeris for the value of the sun's semldlam. eter for the date of observation. "A." True vertical angle to tbe sun's center,or to Polaris, In altitude observatlons,after correction for refraction: 1-1>- refraction In zenitb distance: a refinement Is had In altitude observations on tbe sun by adding the value of tbe sun's parallax = 8".9009 v, opposite Inetrect to refraction.
He."
Zeta: True IlIIIIlth dlstalHle of the sun's center. C=OOo-l.
Pbl: Latitude of the station of observation. Lambda: Longitude of the station of observation.
"I." Delta: Declination of tbe sun or Polaris; to be taken from the Ephemerl9 for the date of observation; the declination of the sun Is to be corrected In bourly dlllerence to tbe longitude of the station and to the time of observation: north declinations are treated 88 positive and south declinations as negative; a nOl'therly bourly motion Is treated as positive and asoutherly hourly motion Is treated as negative; In tbe use of the solarattaebment the declination of tbesun Is to be corrected for refraction Inpolar distance, alw~ys north. .
"A." Admuth angle from tbe true meridian to .Polarls, or to the sun's centl'r; in the following analytical solutions" A" Is referred to the north point unless otherwise modltled, and the reductions are symmetrical eltber east or west of the meridian; all determinations for ulmutb Imply the recording of borlzontal angll'S from a tlxed reference point to Polaris or to the sun, or a point marked on the ground to define the direction of observation, the mean borlzontal angle, or the mean point In dJreo. tloo, being used In the determination; In single observations on the sun, the reduo16' tlon to tlIe sun'. center In asImutla -iiiiiV; a refinement In the value of thlBUD'alleDlldiameter Is bad by referring to the Ephemeris for the date of obeervatloo.
220
SIGNS OF TRIGONOMETRIC FUNCTIONS.
Cosinea
Tangents and
Cotangents 90·
flO"
180~O. ID~O. ~W
W
210·
-90·
-90"
Z10· or
0'-
FIo.3. STADIA MEASUREMENTS.
Ror. dis.: The true horir.ontal distance from the center olthe Instrument to the rod. DIU. elev.: The true vertical dlstanee from the height of the Instrument to the center point between the two targets oC the rod. . ",": Vertical rod reading. "K": The wire Interval or ratio, to be determined In the fleld by frequent tests under working conditions In comparison with steel tape measurement, solving the formula given below for" K," hor. dis. knoWD.
"e": Distance from the center of the Instrument to the object glass. "/": Distance from the plane of the cross-wil"l!8 to the object glass. Ror. dis. = K r COs'1I + (c + f\ cos II • . Dill. elev. - K r ~ sin 2 0 + (c + /) sin o. In public land surveying It Is con venlent to have flxed stadia wires with Ii ratio of 1:132 so that the 8um of two rod readings In feet will be equivalent to a ratio of 1:66, or a reduced distance In chains; It Is also convenient to reduce the error In the wire Interval to the error In 10 cbs., and to eliminate the error by applying to the reduced distance the proper amount taken Crom the table of proportional parts. With a ratio of 1:100, using a rod graduated to links, the elimination of the error In the wire Inter· valls conveniently made In the same manner. With a ratio ofl:l00, uslnga rod gradnated to feet, the red uctlon Is slmpllfled by determining the logarithm of the true " K," rod In feet and horizontal distance In chains units, accomplishing the reduction of K , cos2 0 by logarithmic functions.
TIME.
C1mllerrion of lta1id4,d tlflll! Into local _ n tlme.-Watch reading ± watch error In standard time by oomparlson ± correction for longitude; the correction for longitude Is additive east and subtractive west of the standard meridian of the time belt; the conversion table" degrees to time" 18 convenient In this reduction. C1moerl/on a/apparent time Into local _ n tlme.-Appsrent time of observation ± the equation of time; the equation of time Is to be taken from the Ephemeris for the date of observation and corrected for the longitude and time of observation, convenIently Interpolated 88 the Interval from Greenwich noon to the time of observation;
221
the watch error In looal mean time Is then found by taking the dijference between the watch reading at the epoch of the observation and the reduced local mean time of observation. Local mean time of upper culmination of Polaru.-The GreenwiCh mean time of upper culmination of Polaris la to be taken from the Ephemeris for the date of observation; the amount to he Bubtracted from the Greenwich mean time of upper culmination of Polarill to obtain the local mean time of upper culmination of Polaris, In which the argument Is tbe longitude west from Greenwich, Is obtained from the table of sidereal conversions without computation. ",,", Lota{mean time of e~ation of Po/aru.-T)le mean time of elongatiQn of Polaris, Greenwich meridian, latitude 40', Is to be talien from'tlle Ephemeris for the date of observation; the amount to be subtracted from the mean time of'elongation of PoJaris, Greenwich meridian, latitude 40', to obtain the mean time of elongation of Polaris, local meridian,latitude 40', In which t~e argument Is the longitude west from Greenwich, Is obtained from the table of si<;lel'elLl conversions withflQt CJ)mputation. The amount to apply to the local mean time of elongation of Polaris latitude 40' to obtain the local mean time of elongation of Polaris latitude of observation Is tabulated in the Ephemeris In connection with the table of azimuths of Polaris at elongation. Conversion of a mean time inUrval into a ridereal lime interval, or vice versa.-The amount to apJlly to one time Interval to obtain the other tiJne Interval Is obtained from the table of sidereal conversions without computation. ' Hour angles of Polaru.-A mean tIme hour angle of Polaris West of the meridIan 18 the mean time Interval from the local mean time of upperculininatlon of Polaris 'to the local mean time of observation of Polaris; a mean time hour angle of Polaris east of ,the meridian is tb,e mean time Interval from the local mean time of observation of 'Polaris to the local mean time of upper culmination of Polaris. " ' , Mean time /lnur angle of Polaru at elongation.-"t ,,='tbe sidereal hour angle In lingular measure, thIs converted into time measure, and this in turn converted'from a sidereal tlme'interval Into a mean time interval gives the mean time hour angle of Polaris at E!longation: Cos t= cotan 8 tan '"
Altitude ob6ervation of flie sun for apparent tlme.-" t"=hour angle from appanmt noon In angular measure; reverse the signs of "8" for south declinations: , !sin ~ sin ~ t--v cos! (C+¢+8)cos i (C+<;>-8)
Tan t
(C-¢+8; (C-¢-8)
Meri4i4n ob$ermtion oflbe sunfor apParent noon.~With the telescope In the merldl&Delevated to the sun's altitude, the watch times of transit of the sun's west Ilnd east limbs are noted, the melln 01 which Is the watch time of apparent noon; If the observation falls for either limb the reduction to the sun's center Is accomplished by adding or subtracting 68 seconds; a refinement in the amount of this time is had by referring to the Ephemeris for the time of the sun's semidiameter passing the merldlan for the date of observation; the setting for the approx,lmate altitude of the suo's eenter I..: , V~I!O'-<;>±8
LATITUDE.
Meridian altitude ob&ervation of tlu sun fqr latltude.-Revarse the sign ''SOuth declinations: ¢-90H-h
of "8"
for
This observation Is conveniently combined with the merIdIan observatIon of the sun lor time, observl!lg simultaneously the sun's lower 3ncl west limbs, rooording the watch time and the vertical anglo and reversing in the Inwrval of about 21 min-
,222
utes, and observing simultaneously the sun's upper and east limbs; the setting!! for the approximate altitudes of the sun's low~r and upper limbs, respectively,. are: v~90'-.p±~'flO'
AUitude ob.ervatlon 0/ Polaru at upper culmination lor latittode..p-h+~-90'
Altitudeoo.ervati01l 0/ Polaru at lower culmination/OT /atittode.-The mean time hour
angle of Polaris at lower culmination Is 11 hours 58 minutes 2 seconds: . .p-h+90'-~
The settings for the approximate altitude of Polaris at upper and lower culminations, respectively, are: v~±(90'-~)
AZIMUT1l:. AUitude ob3trvation 0/ tile nfl/OT azimuth.-ReverseOthe signs of
"~,,
for 8Oi1th
declinations:
lcos y, (C+.pH) sin y, (C+.p ~) Tan y, A--V cos y, (C .p ~) sin y, (C .pH) The spherical angles "C," ".p," and "8" appear In this equation combined as In the formula for the reduction of an altitude observation o( the sun for apparent time, ond when It Is desired toreduce for both time and azimuth, the above equation for azimuth Is to be preferred to any that follow. Altitude observation 0/ the sun/or azimulh.-For south declinations the function "sln~" becomes negative by virtue of the sine of oa negative !LIllIe being treated as negative In analytical reductions: If the algobralc sign of the result Is positive the azimuth" A" is referred to the north point, but If negative, the azimuth" A" Is referred to the south point: sin 8 Cos A~cos .pCOll h - tan.p tan 11 0
The above equa~on Is very convenient In reducing for azimuth only. Amtude ob3ervationo/ thuun /OT azlmuth.-To many surveyors the followlt..g equa-
tion Is familiarly expressed directly in terms of the spherical trlangle"pole-zenlthsun": reverse the sign of "~" for south declinations: Pole to zenlth-90'-<jI=colat.; Pole to sun =90'-~ =codecL; Zenith to sun=90'-h=coalt.; B= y, sum of the thnle sides: Isin B sin (B-codecl.) Cos y, A=-V sin coIat. sin ooalt. Equal aUitude ob3ervatlom 0/ the tun/OT meridlall.-The sun's center at equalaltltudes occupies symmetrical positions In azimuth east and west of the meridian In the morning and In the afternoon except for the correction necessary to be applied due to the cha!ige In the sun's declination In the Interval between the a. m. and p. m. 1>bservatlons: "Il A~": Correction In azimuth In minutes of angular measure to be applied to the mean position In azimuth to obtain the true south point; the correction Is to be applied to the east with a northerly hourly chango In declination, or to the west with a southerly hourly change. "d It": Change In declination of the sun from the a. m. to the p. m. observation, expressed In minutes of angular measure.
223
~
"('1+")": The 911111 of the hour angles from apparent noon, or the total watch time from the a. m. to the p. m. observation, expressed In angular measure. ~d~
d A~=cos .p sin ~ (11+1.) The symmetry of the equal altitude observation Is preServed by ol>Bervlng opposite limbs In azimuth In the a. m. and p. m. observations, In connection with theaame 11mb In vertical angle In both observations. Wlth"~ d 8" and"~ (h+t.)" calculated, the computation can be concluded by applying to "~ d 8" the declination coefficient obtained by entering the table of coefficients for computing errors In azimuth due to small errors In declination, arguments: ".p" and"~ (t.+t.)!' AzimutA of Pol4rl8 at e/onqat/OII.Sin A- cos IJ cos.p A table of azimuths of Polaris at elongation, for latitudes from 25° to 70° N., appears In the Ephemeris, arguments: .. ~" and ".p." Azimutll of Pol4,u al an, hour a",,~.-"I"-sldereal hour angle In angular measure; In hour angles exceeding 90° the function" -sin .p cos t" becomes positive by virtue of the cosine of an angle between 90° and 270° being treated as negative In analytl(lal rednctions: sIn t Tan A- cos .p tan ~ sin ~ cos I
A table of azimuths of Polaris at all hour angles, for latitudes from 30° to roo N., appears In the Ephemeris, arguments: "~," mean time hour angle, and ".p!' For other than the above latitudes the surveyor will be required to perform the above analytical solution, accomplished by the following process: convert the usual mean time hour angle Into sidereal hour angle, and convert the sidereal hour angle Into angular measure to obtain ,. t" for the above equation. Polarl8 at .,.mel or .,.nrl8e.-Polarls Is conveniently observed for azimuth by the hour angle method at sunset or sunrtse without &rtl1lclallllwnlnatlon; the preparation for the observation consists In computing In advance the approximate settings In azimuth and altitude In order to tlnd Polaris, and the plan contemplates an approximate reference meridian: with the time of sunset or sunrtse IISSUmed as the time of observation, the hour angle "I" and azimuth" A" are determined In order totlnd the position of Polaris In azimuth; the position In altitude Is found by the following approximation, the posItive sIgn beIng used for hour angles less than 6 hours, and the negative sIgn for hour angles exceeding 6 hours: ~~±70'
cost
CONVERGENCY OF MERIDIANS. "mA ": Measurement along the parallel.
""'1'.": Measurement along the meridian.
"a' : Equatorial radIus of the earth- 3963.3 miles- BOX3963.3 chain&. "e": Factor of eccentricity, log e-8.915 2515. "dmA ":' Linear amount of the convergency on the parallel, of two meridians dJ&. tanceapart "ml ,"and distance "mq,"alongthe meridian: udm,l ," limA ," "m.. "and "II" to be expressed In the same unit:
__ .
.t-
.. -
~
mAm.p
;._~,:,,:~tan~
Ot"-
-'.'
0
"
0,'-
224
I'---~~
-v1-.2sln • .p
t 0/
'!'HIS BOOK 18 Dt7E ON 'l'KE LAB'!' DAft 8TAMPED BELOW
AN INITIAL FINE OF
2~
OENTS
I'OtIt 'AI LUlU: TO ,.;ETURN
=
--
--
--
---------------1-------------
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LU U - I OO .. ·7:U
--
"
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