NRLF eaa U5 i9ia STANDARD FIELD TABLES GENERAL LAND OFFICE LIBRARY OF THE UNIVERSITY OF CALIFORNIA. IFT OF Class 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 COMPILED UNDER THE DIRECTION OP FRED DENNETT COMMISSIONER OF THE GENERAL LAND OFFICE WASHINGTON GOVERNMENT PRINTING OFFICE 1910 "Is- United States surveyors and engineers, and all others who may find it convenient to use the tables included in this volume, are requested to report to the Commissioner of the General Land Office, Washington, D. C., any errors detected in the tables as printed. CONTENTS. No. Page. 1. Units of linear measure, units of area . expansion of steel tapes, and conver- sion tables chains to feet and feet to chains 5 2. Reduction in latitude to south boundary of township, and corrections for convei'gency within a township 6 3. Traverse table, for the correction of random lines 7 4. Traverse tables 8 5. Correction of error in stadia wire interval 98 6. Stadia coefficients, vertical rod 99 7. Natural sines and cosines. 106 8. Natural tangents and cotangents 115 9. Logarithmic sines, cosines, tangents, and cotangents 127 10. Logarithms of numbers 172 11. Convergency of meridians, and differences 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 of the earth's surface : 204 17. Apparent time of sunrise and sunset. .' 205 18. Conversion tables, degrees to time, and time to degrees 206 19. Sidereal conversions, and reductions to the local mean time of upper culmi- nation 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. Coefficients for computing errors in azimuth, due to small errors in declina- tion or latitude 210 23. Mean refractions in polar distance 211 24. Trigonometric formulas for the solution of plane triangles 218 25. Trigonometric formulas for the solution of stadia measurements, observa- tions for time, latitude, and azimuth, and problems in convergency 220 200632 Standard Field Tables. TABLE 1. UNITS OF MEASURE, ETC. UNITS OF LINEAR MEASURE. UNITS OP AREA. 1 chain= 100 links. = 66 feet. 1 mile = 80 chains. = 5,2SO feet. 1 acre= 10 square chains. => 43,560 square feet. 1 square mile= 640 acres. EXPANSION OP STEEL TAPES. The coefficient of expansion of steel tapes= 0.0000065 for 1 F. CONVERSION TABLES. Chains to feet. Feet to chains . Feet to links. 1 1.5 2 3.0 3 4.5 4 6.1 5 7.6 9 1 7 io!e 8 12.1 9 13.6 10 15.2 TABLE 2. REDUCTION IN LATITUDE TO SOUTH BOUNDARY OF TOWNSHIP. Miles. 1 2 3 4 5 0.0 0.9 1.7 2.6 / 3.5 4.3 10 0.1 .0 1.8 2.7 3.6 4.4 20 0.2 .1 2.0 2.8 3.7 4.6 30 0.3 .2 2.1 2.9 3.8 4.7 40 0.4 .3 2.2 3.0 3.9 4.8 50 0.5 .4 2.3 3.1 4.0 4.9 60 0.6 .5 2.4 3.2 4.1 5.0 70 0.8 .6 2.5 3.4 4.2 r 1 80 0.9 1.7 2.6 3.5 4.3 5.2 CORRECTIONS FOR CONVERGENCY WITHIN A TOWNSHIP. Lat. Imi. 2 mi. 3 mi. 4 mi. 5 mi. 25 to 30 1 1 2 2 30 to 35 1 1 2 2 3 35 to 40 1 1 2 3 3 40 to 45 1 2 2 3 4 45 to 50 1 2 3 4 5 50 to 55 1 2 3 5 6 55 to 60 1 3 4 5 7 60 to 65 2 3 5 7 8 65 to 70 2 4 G 8 10 TABLE . TRAVERSE TABLE FOtt THE CORRECTION OF RANDOM LINES. Distance in chains. JO 2O 3O 4O 50 60 70 8O 90 10O Departure in links. 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60 1 0.3 0.6 0.9 1.2 1.5 1.7 2.0 2.3 2.6 2.9 59 2 0.6 1.2 1.7 2. 3 2.9 3.5 4.1 4.7 5.2 5.8 58 3 0.9 1.7 2.6 3.5 4.4 5.2 6.1 7.0 7.9 8.7 57 4 1.2 2.3 3.5 4.7 5.8 7.0 8.1 9.3 10.5 11.6 56 5 1.5 2.9 4.4 5.8 7.3 8.7 10.2 11.6 13.1 14.5 55 6 1.7 3.5 5.2 7.0 8.7 10.5 12.2 14.0 15.7 17.5 54 7 2.0 4.1 6.1 8.1 10.2 | 12.2 14.3 16.3 18.3 20.4 53 8 2.3 4.7 7.0 9.3 11.6 14.0 16.3 18.6 20.9 23.3 52 9 2.6 5.2 7.9 10.5 13. 1 15. 7 18.3 20.9 23.6 26.2 51 10 2.9 5.8 8.7 11.6 14. 5 17. 5 20.4 23.3 26.2 29.1 50 11 3.2 6.4 9.6 12.8 16. 19. 2 22.4 25. 6 28.8 32.0 49 12 3.5 7.0 10.5 14.0 17. 5 20. 9 24.4 27.9 31.4 34.9 1 48 13 3.8 7.6 11.3 15.1 18. 9 22. 7 26.5 30.3 34. 37.8 I 47 14 4.1 8.1 12.2 16.3 20.4 1 24.4 28.5 32.6 36.7 40. 7 ! 46 15 4.4 8.7 13.1 17.5 21.8 26.2 30. 5 34.9 39.3 43.6 45 16 4.7 9.3 14.0 18.6 23.3 27.9 32. (i 37.2 41.9 46.5 44 17 4.9 9.9 14.8 19.8 24.7 29.' 7 34.6 39.6 44.5 49.5 43 18 5.2 10.5 15.7 20.9 26.2 31.4 36.7 41.9 47.1 52.4 42 19 5.5 11.1 16.6 22.1 27.6 33. 2 38.7 44.2 49.7 55.3 41 20 5.8 11.6 17.5 23. 3 29.1 34.9 40.7 46.5 52.4 58.2 40 21 6.1 12.2 18.3 24.4 30. 5 36.7 42.8 48.9 55.0 61.1 39 22 6.4 12.8 19.2 25. 6 32.0 38.4 44.8 51.2 57.6 64.0 38 23 6.7 13.4 20.1 26.8 33.5 40.1 46.8 53.5 60.2 66.9 37 24 7.0 14.0 20.9 27.9 34. 9 41.9 48.9 55.9 62.8 36 25 7.3 14.5 21.8 29. 1 36.4 43.6 50.9 58.2 65.4 72^7 35 26 7.6 15.1 22.7 30. 3 37.8 45.4 52.9 60.5 68.1 75.6 34 27 7.9 15.7 23.6 31.4 39. 3 47.1 55.0 62.8 70.7 78.5 33 28 8.1 16.3 24.4 32.6 40.7 48.9 57.0 65.2 73.3 81.4 32 29 8.4 16.9 2.5.3 33.7 42.2 50.6 59.0 67.5 75.9 84.4 31 30 8.7 17.5 26. 2 j 34. 9 43. 6 52. 1 61.1 78.5 87.3 30 31 9.0 18.0 27. 1 ! 36. 1 45.1 ; 54.1 63.1 72.1 81.2 90.2 29 32 9.3 18.6 27.9 ! 37.2 46.5 i 55.8 60. 2 74.5 83.8 93.1 28 33 9.6 19.2 28. 8 . 38. 4 48. 57. 6 67.2 76.8 86.4 96.0 27 34 9.9 19.8 29.7 39.6 49.5 59.3 69.2 79.1 89.0 98.9 26 35 10.2 20.4 30.5 40.7 50.9 61.1 71.3 81.4 91.6 101.8 25 36 10.5 20.9 31.4 41.9 52.4 62.8 73.3 83.8 94.2 104.7 24 37 10.8 21.5 32.3 43.1 53.8 64.6 75.3 86.1 96.9 107.6 2.3 38 11.1 22.1 33.2 44.2 55. 3 66. 3 77.4 88.4 99.5 110.5 22 39 11.3 22.7 34.0 45.4 56.7 68. 1 79.4 90.8 102.1 113.4 21 40 11.6 23.3 34.9 46.5 58.2 69.8 81.4 93.1 104.7 116.4 20 41 11.9 23.9 35.8 47.7 59.6 : 71.6 83. 5 95. 4 107.3 119.3 19 42 12.2 24.4 36.7 48.9 61. 1 73. 3 85. 5 i 97. 7 110.0 122.2 18 43 12.5 25.0 37.5 50.0 62.5 75.0 87. 6 100. 1 112.6 125.1 17 44 12.8 25.6 38.4 51.2 64. 76. 8 89.6 ; 102.4 115.2 128.0 16 45 13.1 26.2 39.3 52.4 65. 4 78. 5 91.6 104.7 117.8 130. 9 15 46 13.4 26.8 40.1 53.5 66. 9 80. 3 93.7 107.0 120.4 133.8 14 47 13.7 27.3 41.0 54.7 68.4 82.0 95.7 109.4 123.0 136. 7 13 48 14.0 27.9 41.9 55.8 69. 8 83. 8 97.7 111.7 125. 7 139.6 12 49 14.3 28.5 42.8 57.0 71.3 85.5 99.8 114.0 128.3 142.5 11 50 14.5 29.1 43.6 58.2 72. 7 87. 3 101.8 116.4 130. 9 145.4 10 51 14.8 29.7 44.5 59.3 74.2 i 89.0 103.8 118.7 ; 133.5 148.3 9 52 15.1 30.3 45.4 60.5 75. 6 90. 8 105.9 121. 136. 1 151.3 8 53 15.4 30.8 46.2 61.7 77. 1 92. 5 107.9 123.3 138.7 154.2 7 54 15.7 31.4 47.1 62.8 78. 5 94. 2 110.0 125.7 141.4 157.1 6 55 16.0 32. 48.0 64.0 80.0 i 96.0 112.0 128.0 144.0 160.0 5 56 16.3 32.6 48.9 65.2 81.4 i 97.7 114.0 130.3 146.6 162.9 4 57 16.6 33.2 49.7 66.3 82.9 ! 99.5 116.1 132.6 149.2 165.8 3 58 16.9 33.7 50.6 67.5 84.4 101.2 118.1 135.0 151.8 168.7 2 59 17.2 34.3 51.5 68.6 85. 8 103. 120.1 137.3 154.5 ! 171.6 1 60 17.5 34.9 52.4 69. 8 87. 3 104. 7 122.2 139.6 157.1 174.5 Latitude in links. 89 TABLE 4. TRAVEHSE TABLE. b 1 M. H& *A. d 1 Lat. Dep. Lat. Dep. Lat. Dep. 1 1 1.00 0.00 1.00 0.01 1.00 0.01 1 2 2.00 0.01 2.00 0.02 2.00 0.03 2 3 3.00 0.01 3.00 0.03 3.00 0.04 3 4 4.00 0.02 4.00 0.03 4.00 0.05 4 5 5.00 0.02 5.00 0.04 5.00 0.07 5 6 6.00 0.03 6.00 0.05 6.00 0.08 6 7 7.00 0.03 7.00 0.06 7.00 0.09 7 8 8.00 0.03 8.00 0.07 8.00 0.10 8 9 9.00 0.04 9.00 0.08 9.00 0.12 9 10 10.00 0.04 10.00 0.09 10.00 0.13 10 11 11.00 0.05 11.00 0.10 11.00 0.14 11 12 12.00 0.05 12.00 0.10 12.00 0.16 12 13 13.00 0.06 13.00 0.11 13.00 0.17 13 14 14.00 0.06 14.00 0.12 14.00 0.18 14 15 15.00 0.07 15.00 0.13 15.00 0.20 15 16 16.00 0.07 16.00 0.14 16.00 0.21 16 17 17.00 0.07 17.00 0.15 17.00 0.22 17 18 18.00 0.08 18.00 0.16 18.00 0.24 18 19 19.00 0.08 19.00 0.17 19.00 0.25 19 20 20.00 0.09 20.00 0.17 20.00 0.26 20 21 21.00 0.09 21.00 0.18 21.00 0.27 21 22 22.00 0.10 22.00 0.19 22.00 0.29 22 23 23.00 0.10 23.00 0.20 23.00 0.30 23 24 24.00 0.10 24.00 0.21 24.00 0.31 24 25 25.00 0.11 25.00 0.22 25.00 0.33 25 26 26.00 0.11 26.00 0.23 26.00 0.34 26 27 27.00 0.12 27.00 0.24 27.00 0.35 27 28 28.00 0.12 28.00 0.24 28.00 0.37 28 29 29.00 0.13 29.00 0.25 29.00 0.38 29 30 30.00 0.13 30.00 0.26 30.00 0.39 30 31 31.00 0.14 31.00 0.27 31.00 0.41 31 32 32.00 0.14 32.00 0.28 32.00 0.42 32 33 33.00 0.14 33.00 0.29 33.00 0.43 33 34 34.00 0.15 34.00 0.30 34.00 0.45 34 35 35.00 0.15 35.00 0.31 35.00 0.46 35 36 36.00 0.16 36. 00 0.31 36.00 0.47 3 37 37.00 0.16 37.00 0.32 37.00 0.48 37 38 38.00 0.17 38.00 0.33 38.00 0.50 38 39 39.00 0.17 39.00 0.34 39.00 0.51 39 40 40.00 0.17 40.00 0.35 40.00 0.52 40 41 41.00 0.18 41.00 0.36 41.00 0.54 41 42 42.00 0.18 42.00 0.37 42.00 0.55 42 43 43.00 0.19 43.00 0.38 43.00 0.56 43 44 44.00 0.19 44.00 0.38 44.00 0.58 44 45 45.00 0.20 45.00 0.39 45.00 0.59 45 46 46.00 0.20 46.00 0.40 46.00 0.60 46 47 47.00 0.21 47.00 0.41 47.00 0.62 47 48 48.00 0.21 48.00 0.42 48.00 0.63 48 49 49.00 0.21 49.00 0.43 49.00 0.64 49 50 50.00 0.22 50.00 0.44 50.00 0.65 50 1 Dep. Lat. Dep. Lat. Dep. Lat. i "oo 5 89%. 89^. 89M". Q TABLE 4. TRAVERSE TABLE. g M M i M a 1 Lat. Dep. Lat. Dep. Lat. Dep. 1 51 51.00 0.22 51.00 0.45 51.00 0.67 51 52 52.00 0.23 52.00 0.45 52.00 0.68 52 53 53.00 0.23 53.00 0.46 53.00 0. 69 53 54 54.00 0.24 54.00 0.47 54.00 0.71 54 55 55.00 0.24 55.00 0.48 55.00 0.72 55 56 56.00 0.24 5(i. 00 0.49 56.00 0.73 56 57 57.00 0.25 57^00 0.50 57.00 0.75 57 58 58.00 0.25 58.00 0.51 57.99 0.76 58 59 59.00 0.26 59.00 0.51 58.99 0.77 59 60 60.00 0.26 60.00 0.52 59.99 0.79 60 61 61.00 0.27 61.00 0.53 60.99 0.80 61 62 62.00 0.27 62.00 0.54 61.99 0.81 62 63 63.00 0.27 63.00 0.55 62. 99 0.82 63 64 64.00 0.28 64.00 0.56 63. 99 0.84 64 65 65.00 0.28 65.00 0.57 64. 99 0.85 65 66 66.00 0.29 66.00 0.58 65.99 0.86 66 67 67.00 0.29 67.00 0.58 66.99 0.88 67 68 68.00 0.30 68.00 0.59 67.99 0.89 68 69 69.00 0.30 69.00 0.60 68.99 0.90 69 70 70.00 0.31 70.00 0.61 69.99 0.92 70 71 71.00 0.31 71.00 0.62 70.99 0.93 71 72 72.00 0.31 72.00 0.63 71.99 0.94 72 73 73.00 0.32 73.00 0.64 72.99 0.96 73 74 74.00 0.32 74.00 0.65 73.99 0.97 74 75 75.00 0.33 75.00 0.65 74. 99 0.98 75 76 76.00 0.33 76.00 0.66 75.99 0.99 76 77 77.00 0.34 77.00 0.67 76.99 1.01 77 78 78.00 0.34 78.00 0.68 77.99 .02 78 79 79.00 0.34 79.00 0.69 78.99 .03 79 80 80.00 0.35 80.00 0.70 79.99 .05 80 81 81.00 0.35 81.00 0.71 80.99 .06 81 82 82.00 0.36 82.00 0.72 81.99 .07 82 83 83.00 0.36 83.00 0.72 82.99 .09 83 84 84.00 0.37 84.00 0.73 83.99 .10 84 85 85.00 0.37 85.00 0.74 84.99 .11 85 86 86.00 0.38 86.00 0.75 85.99 .13 86 87 87.00 0.38 87.00 0.76 86.99 .14 87 88 88.00 0.38 88.00 0.77 87 99 .15 88 89 89.00 0.39 89.00 0.78 88.99 .16 89 90 90.00 0.39 90.00 0.79 89.99 .18 90 91 91.00 0.40 91.00 0.79 90.99 .19 91 92 92.00 0.40 92.00 0.80 91.99 .20 ' 92 93 93.00 0.41 93.00 0.81 92.99 .22 93 94 94.00 0.41 94.00 0.82 93.99 .23 94 95 95. 00 0.41 95.00 0.83 94.99 .24 95 98 96.00 0.42 96.00 0.84 95.99 .26 96 97 97.00 0.42 97.00 0.85 96.99 .27 97 98 98.00 0.43 98.00 0.86 97.99 .28 98 99 99.00 0.43 99.00 0.86 98.99 .30 99 100 100.00 0.44 100.00 0.87 99.99 1.31 100 i Dep. Lat. Dep. Lat. Dep. Lat. 8 +j -S Q 8W/. , r my 4 S TABLE 4. -TRAVERSE TABLE. q 1. 1 4- 1 'l- - 1 K\ I P a P Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 i 1.00 0.02 1.00 0.02 1.00 0.03 1.00 0. 03 i 2 2.00 0.03 2.00 0.04 2.00 0.05 2.00 0.06 2 3 3.00 0.05 3.00 0.07 3.00 0.08 3.00 0.09 3 4 4.00 0.07 4.00 0.09 4.00 0.10 4.00 0.12 4 5 5.00 0.09 5.00 0.11 5.00 0.13 5.00 0.15 5 6 6.00 0.10 6.00 0.13 6.00 0.16 6.00 0.18 6 7 7.00 0.12 7.00 0.15 7.00 0.18 7.00 0.21 7 8 8.00 0.14 8.00 0.17 8.00 0.21 8.00 0.24 8 9 9.00 0.16 9.00 0.20 9.00 0.24 9.00 0.27 9 10 10.00 0.17 10.00 0.22 10.00 0.26 10.00 0.31 10 11 11.00 0.19 11.00 0.24 11.00 0.29 10.99 0.34 11 12 12.00 0.21 12.00 0.26 12.00 0.31 11.99 0.37 12 13 13.00 0.23 13.00 0.28 13. 00 0.34 12.99 0.40 13 14 14.00 0.24 14.00 0.31 14. 00 0.37 13.99 0.43 14 15 15.00 0.26 15.00 0.33 14.99 0.39 14.99 0. 4fi 15 16 16.00 0.28 16.00 0.35 15.99 0.42 15.99 0.49 16 17 17.00 0.30 17.00 0.37 16. 99 0.45 16.99 0.52 17 18 18.00 0.31 18.00 0.39 17.99 0.47 17.99 0.55 18 19 19.00 0.33 19.00 0.41 18.99 0.50 18.99 0.58 19 20 20.00 0.35 20.00 0.44 19.99 0.52 19.99 0.61 20 21 21.00 0.37 21.00 0.4G 20.99 0.55 20.99 0.64 21 22 22.00 0.38 21.99 0.48 21.99 0.58 21.99 0.67 22 23 23.00 0.40 22.99 0.50 22.99 0.60 22.99 0.70 23 24 24.00 0.42 23.99 0.52 23.99 0.63 23.99 0.73 24 25 25.00 0.44 24.99 0.55 24.99 0.65 24.99 0.76 25 26 26.00 0.45 25.99 0.57 25.99 0.68 25.99 0.79 26 27 27.00 0.47 26.99 0.59 26. 99 0.71 26.99 0.82 27 28 28.00 0.49 27.99 0.61 27. 99 0.73 27.99 0.86 28 29 29.00 0.51 28.99 0.63 28.99 0.76 28.99 0.89 29 30 30.00 0.52 29.99 0.65 29.99 0.79 29.99 0.92 30 31 31.00 0.54 30.99 0.68 30.99 0.81 30.99 0.95 31 32 32.00 0.56 31.99 0.70 31.99 0.84 31.99 0.98 32 33 32.99 0.58 32.99 0.72 32.99 0.86 32.98 1.01 33 34 33.99 0.59 33.99 0.74 33.99 0.89 33.98 1.04 34 35 34.99 0.61 34.99 0.76 34.99 0.92 34.98 1.07 35 36 35.99 0.63 35.99 0.79 35.99 0.94 35.98 1.10 36 37 36.99 0.65 36.99 0.81 36.99 0.97 36.98 1.13 37 38 37.99 0.66 37.99 0.83 37.99 0.99 37.98 1.16 38 39 38.99 0.68 38.99 0.85 38.99 1.02 38.98 .19 39 40 39.99 0.70 39.99 0.87 39.99 1.05 39.98 .22 40 41 40.99 0.72 40.99 0.89 40.99 1.07 40.98 .25 41 42 ' 41.99 0.73 41.99 0.92 41.99 1.10 41.98 .28 42 43 42.99 0.75 42.99 0.94 42.99 1.13 42.98 .31 43 44 43.99 0.77 43. 99 0.96 43.98 1.15 43.98 .34 44 45 44.99 0.79 44.99 0.98 44.98 1.18 44.98 .37 45 46 45.99 0.80 45.99 1.00 45.98 1.20 45.98 .40 46 47 46.99 0.82 46.99 1.03 46.98 1.23 46.98 .44 47 48 47.99 0.84 47.99 1.05 47.98 1.26 47.98 .47 48 49 48.99 0.86 48.99 1.07 48.98 1.28 48.98 1.50 49 50 49.99 0.87 49.99 1.09 49.98 1.31 49.98 1.53 50 . 98 1.46 66. 98 .75 66.97 2.05 67 68 67. 99 1.19 67. 98 1.48 67.98 .78 67.97 2.08 68 69 68. 99 1.20 68. 98 1.51 68.98 .81 68. 97 2.11 69 70 69.99 1.22 69.98 1.53 69.98 .83 69.97 2.14 70 71 70.99 1.24 70.98 1.55 70.98 .86 70.97 2.17 71 72 71.99 1.26 71. 98 1.57 71.98 .88 71.97 2.20 72 73 72.99 1.27 72.98 1.59 72.97 .91 72.97 2.23 73 74 73.99 1.29 73.98 l.(il 73. 97 .94 73.97 2.26 74 75 74.99 1.31 74.98 1.64 74.97 .96 74.97 2.29 75 76 75. 99 1.33 75.98 1.66 75.97 .99 75.96 2.32 76 77 76. 99 1.34 76.98 1.68 76. 97 2.02 76.96 2.35 77 78 77. 99 1.36 77.98 1.70 77.97 2.04 77.96 2.38 78 79 78.99 1.88 78. 98 1.72 78. 97 2.07 78.96 2.41 79 80 79.99 1.40 79.98 1.75 79.97 2.09 79.96 2.44 80 81 80.99 1.41 80.98 1.77 80.97 2.12 80.96 2.47 81 82 81.99 1.43 81.98 1.79 81.97 2.15 81.96 2.50 82 83 82. 99 1.45 82.98 1.81 82.97 2.17 82.96 2.53 83 84 83.99 1.47 83. 98 1.83 83.97 2.20 83.96 2.57 84 85 84.99 1.48 84.98 1.85 84.97 2.23 84.96 2.60 85 86 85.99 1.50 85.98 1.88 85. 97 2.25 85.96 2.63 86 87 86. 99 1.52 86. 98 1.90 86. 97 2.28 86.96 2.66 87 88 87.99 1.54 87.98 1.92 87.97 2.30 87.96 2.69 88 89 88.99 1.55 88. 98 1.94 88. 97 2.33 88. 96 2.72 89 90 89.99 1.57 89.98 1.96 89.97 2.30 89.96 2.75 90 91 90.99 1.59 90. 98 1.99 90.97 2.38 90.96 2.78 91 92 91.99 1.61 91.98 2.01 91.97 2.41 91.96 2.81 92 93 92.99 1.62 92.98 2.03 92.97 2.43 92.% 2.84 93 94 93.99 1.64 93.98 2.05 93. 97 2.46 93.96 2.87 94 95 94.99 1.66 94.98 2.07 94.97 2.49 94.96 2.90 95 96 95.99 1.68 95.98 2.09 95. 97 2.51 95. 96 2.93 96 97 96. 99 1.69 96.98 2.12 96.97 2.54 96.95 2.96 97 98 97.99 1.71 97.98 2.14 97.97 2.57 97.95 2.99 98 99 98.98 1.73 98.98 2.16 98.97 2.59 98. 95 3.02 99 100 99.98 1.75 99.98 2.18 99.97 2.62 99.95 3.05 100 I Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i c3 a 5 89 . m t- 88> 2- 88Js j i 11 TABLE 4. TRAVERSE TABLE. g 2 e 2M 2^ V/4 ' 5* 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P" 1 1 1.00 0.03 1.00 0.04 1.00 0.04 1.00 0.05 1 2 2.00 0.07 2.00 0.08 2.00 0.09 2.00 0.10 2 3 3.00 0.10 3.00 0.12 3.00 0.13 3.00 0.14 3 4 4.00 0.14 4.00 0.16 4.00 0.17 4.00 0.19 4 5 5.00 0.17 5.00 0.20 5.00 0.22 4.99 0.24 5 6 6.00 0.21 6.00 0.24 5.99 0.26 5.99 0.29 6 7 7.00 0.24 6.99 0.27 6.99 0.31 6.99 0.34 7 8 7.99 0.28 7.99 0.31 7.99 0.35 7.99 0.38 8 9 8.99 0.31 8.99 0.35 8.99 0.39 8.99 0.43 9 10 9.99 0.35 9.99 0.39 9.99 0.44 9.99 0.48 10 11 10.99 0.38 10.99 0.43 10.99 0.48 10.99 0.53 11 12 11.99 0.42 11.99 0.47 11.99 0.52 11.99 0.58 12 13 12.99 0.45 12.99 0.51 12.99 0.57 12.99 0.62 13 14 13.99 0.49 13.99 0.55 13. 99 0.61 13.98 0.67 14 15 14.99 0.52 14.99 0.59 14.99 0.65 14.98 0.72 15 16 15.99 0.56 15.99 0.63 15.98 0.70 15.98 0.77 16 17 16.99 0.59 16.99 0.67 16.98 0.74 16.98 0.82 17 18 17.99 0.63 17.99 0.71 17.98 0.79 17.98 0.86 18 19 18.99 0.66 18.99 0.75 18.98 0.83 18.98 0.91 19 20 19.99 0.70 19.98 0.79 19.98 0.87 19.98 0.96 20 21 20.99 0.73 20.98 0.82 20.98 0.92 20.98 1.01 21 22 21.99 0.77 21.98 0.86 21.98 0.96 21.97 1.06 22 23 22.99 0.80 22.98 0.90 22.98 1.00 22.97 1.10 23 24 23.99 0.84 23.98 0.94 23.98 1.05 23.97 1.15 24 25 24.98 0.87 24.98 0.98 24.98 1.09 24.97 1.20 25 26 25.98 0.91 25.98 1.02 25.98 1.13 25.97 1.25 26 27 26.98 0.94 26.98 1.06 26.97 1.18 26.97 1.30 27 28 27.98 0.98 27.98 1.10 27.97 1.22 27.97 1.34 28 29 28.98 1.01 28.98 1.14 28.97 1.26 28.97 1.39 29 30 29.98 1.05 29.98 1.18 29.97 1.31 29.97 1.44 30 31 30.98 1.08 30.98 1.22 30.97 .35 30.96 1.49 31 32 31.98 1.12 31.98 1.26 31.97 .40 31.96 1.54 32 33 32.98 1.15 32.97 1.30 32.97 .44 32.96 1.58 33 34 33.98 1.19 33.97 1.33 33.97 .48 33.96 1.63 34 35 34.98 1.22 34.97 1.37 34.97 .53 34. 96 1.68 35 36 35.98 1.26 35.97 1.41 35.97 .57 35. 96 1.73 36 37 36.98 1.29 36.97 1.45 36.96 .61 36.96 1.78 37 38 37.98 1.33 37.97 1.49 37.96 .66 37.96 1.82 38 39 38.98 1.36 38.97 1.53 38.96 .70 38.96 1.87 39 40 39.98 1.40 39.97 1.57 39.96 .74 39.95 1.92 40 41 40.98 1.43 40.97 1.61 40.96 .79 40.95 1.97 41 42 41.97 1.47 41.97 1.65 41. 96 .83 41.95 2.02 42 43 42. 97 1.50 42.97 1.69 42.96 .88 42.95 2.06 43 44 43.97 1.54 43.97 1.73 43.96 .92 43.95 2.11 44 45 44.97 1.57 44.97 1.77 44.96 .96 44.95 2.16 45 46 45.97 1.61 45.96 1.81 45.96 2.01 45.95 2.21 46 47 46.97 1.64 46.96 1.85 46.96 2.05 46. 95 2.25 47 48 47.97 1.68 47. 96 1.88 47.95 2.09 47.94 2.30 48 49 48.97 1.71 48.96 1.92 48.95 2.14 48.94 2.35 49 50 49.97 1.74 49.96 1.96 49.95 2.18 49.94 2.40 50 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 ft 8* !. 875 4. 87' ^- 873 4. ft 12 TABLE 4. TRAVERSE TABLE. d 2< 2^ 2M VA o a ft> Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 50.97 1.78 ,50.96 2.00 50.95 2.22 50.94 2.45 51 52 51.97 1.81 51.96 2.04 51.95 2.27 51.94 2.49 52 53 52.97 1.85 52.96 2.08 52.95 2.31 52.94 2.54 53 54 53.97 1.88 53.96 2.12 53.95 2.36 53.94 2.59 54 55 54.97 1.92 54.96 2.16 54.95 2.40 54.94 2.64 55 56 55.97 1.95 55.96 2.20 55.95 2.44 55. 94 2.69 56 57 56.97 1.99 56.96 2.24 56.95 2.49 56.93 2.73 57 58 57.96 2.02 57.96 2.28 57.94 2.53 57.93 2.78 58 59 58.96 2.06 58.95 2.32 58.94 2.57 58.93 2.83 59 60 59.96 2.09 59.95 2.36 59.94 2.62 59.93 2.88 60 61 60.96 2.13 60.95 2.39 60.94 2.66 60.93 2.93 61 62 61.96 2.16 61. 95 2.43 61.94 2.70 61. 93 2.97 62 63 62.96 2.20 62.95 2.47 62.94 2.75 62.93 3.02 63 64 63.96 2.23 63.95 2.51 63.94 2.79 63.93 3.07 64 65 64.96 2.27 64.95 2.55 64.94 2.84 64.93 3.12 65 66 65.96 2.30 65.95 2.59 65.94 2.88 65.92 3.17 66 67 66.96 2.34 66.95 2.63 66.94 2.92 66. 92 3.21 67 68 67.96 2.37 67.95 2.67 67.94 2.97 67.92 3.26 68 69 68.96 2.41 68.95 2.71 68.93 3.01 68.92 3.31 69 70 69.96 2.44 69.95 2.75 69.93 3.05 69.92 3.36 70 71 70.96 2.48 70.95 2.79 70.93 3.10 70.92 3.41 71 72 71.96 2.51 71.94 2. 83 71.93 3.14 71.92 3.45 72 73 72.96 2.55 72.94 2.87 72.93 3.18 72.92 3.50 73 74 73.95 2.58 73.94 2.91 73.93 3.23 73.91 3.55 74 75 74.95 2.62 74.94 2.94 74.93 3.27 74.91 3.60 75 76 75.95 2.65 75.94 2.98 75.93 3.32 75.91 3.65 76 77 76.95 2.69 76.94 3.02 76.93 3.36 76.91 3.69 77 78 77.95 2.72 77.94 3.06 77.93 3.40 77.91 3.74 78 79 78. 95 2.76 78.94 3.10 78.92 3.45 78.91 3.79 79 80 79. 95 2.79 79.94 3.14 79.92 3.49 79.91 3.84 80 81 80.95 2.83 80.94 3.18 80.92 3.53 80.91 3.89 81 82 81.95 2.86 81.94 3.22 81.92 3.58 81.91 3.93 82 83 82.95 2.90 82.94 3.26 82.92 3.62 82.90 3.98 83 84 83.95 2.93 83.94 3.30 83.92 3.66 83.90 4.03 84 85 84.95 2.97 84.93 3.34 84.92 3.71 84.90 4.08 85 86 85.95 3.00 85.93 3.38 85.92 3.75 85.90 4.13 86 87 86.95 3.04 86.93 3.42 86.92 3.79 86.90 4.17 87 88 87.95 3.07 87.93 3.45 87.92 3.84 87.90 4.22 88 89 88.95 3.11 88.93 3.49 88.92 3.88 88.90 4.27 89 90 89.95 3.14 89.93 3.53 89.91 3.93 89.90 4.32 90 91 90.95 3.18 90.93 3.57 90.91 3.97 90.90 4.37 91 92 91.94 3.21 91.93 3.61 91.91 4.01 91.89 4.41 92 93 92.94 3.25 92.93 3.65 92.91 4.06 92.89 .46 93 94 93.94 3.28 93. 93 3.69 93.91 4.10 93.89 .51 94 95 94.94 3.32 94.93 3.73 94.91 4.14 94.89 .56 95 96 95.94 3.35 95.93 3.77 95.91 4.19 95.89 .61 96 97 96.94 3.39 96.93 3.81 96.91 4.23 96.89 .65 97 98 97.94 3.42 97.92 3.85 97.91 4.27 97.89 .70 98 99 98.94 3.46 98.92 3.89 98.91 4.32 98.89 4.75 99 100 99.94 3.49 99.92 3.93 99.90 4.36 99.88 4.80 100 i Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 5 8{ 5. 875 *. 87J Si*. 87j 4- to 5 TABLE 4.-TRA VERSE TABLE. 1 3 . 3j c. 3) 2- 32 1*. o BT I Lat. Dep. Lat, Dep. Lat. Dep. Lat. Dep. ? 1 1.00 0.05 1.00 0.06 1.00 0.06 1.00 0.06 1 2 2.00 0.10 2.00 0.11 2.00 0.12 2.00 0.13 2 3 3.00 0.16 3.00 0.17 2.99 0.18 2.99 0.20 3 4 3.99 0.21 3.99 0.23 3.99 0.24 3.99 0.26 4 5 4.99 0.26 4.99 0.28 4.99 0.31 4.99 0.33 5 6 5.99 0.31 5.99 0.34 5.99 0.37 5.99 0.39 C> 7 6.99 0.37 6.99 0.40 6.99 0.43 6.99 0.46 1 8 7.99 0.42 7.99 0.45 7.99 0.49 7.98 0.52 8 9 8.99 0.47 8.99 0.51 8.98 0.55 8.98 0.59 9 10 9.99 0.52 9.98 0.57 9.98 0.61 9.98 0.65 10 11 10.98 0. fiS 10. 98 0.62 10.98 0.07 10.98 0.72 11 12 11. 98 o. r.:? 11.98 0.68 11.98 0.7:; I 11.97 0.78 12 13 12.98 0.68 12.98 0.74 12. 98 0.79 ! 12. 97 0.85 13 14 13.98 0.73 13. 98 0.79 13. 97 0.85 ! 13. 97 0.92 11 15 14. 98 0.79 14. 98 0.85 14.97 0. 02 14.97 0.98 15 16 15. 98 0.84 15. 97 0.91 15.97 0.98 15. 97 1. 05 16 17 16.98 0.89 16. 97 0.% 16. 97 1.04 16. 96 1.11 17 18 17.98 0.94 17.97 1.02 17.97 1.10 17. 96 1.18 18 19 18.97 0.99 18.97 1.08 18.96 1.16 18.96 1.24 19 20 19.97 1.05 19.97 1.13 19.96 1.22 19.96 1.31 20 21 20.97 1.10 20.97 1.19 20.96 1.28 20.96 1.37 21 22 21.97 1.15 21.96 1.25 21.96 1.34 21.95 1.44 22 23 22.97 1.20 22.96 1.30 22.96 1.40 22.95 1.50 23 24 23. 97 1.26 23.96 1.36 23.96 1.47 23. 95 1.57 24 25 24.97 1.31 24.96 1.42 24.95 .53 24.95 1.64 25 26 25.96 1.36 25.96 1.47 25.95 .59 25.94 1.70 26 27 26.% 1.41 26.96 1.53 26.95 .65 26. 94 1.77 27 28 27.96 1.47 27.95 1.59 27.95 .71 27.94 1.83 28 29 28.96 1.52 28.95 1.64 28.95 .77 28.94 1.90 29 30 29.96 1.57 29.95 1.70 29.94 .83 29.94 1.96 30 31 30.96 1.62 30. 95 1.76 30.94 .89 30.93 2.03 31 32 31.96 1.67 31.95 1.81 31.94 .95 31. 93 2.09 32 33 32.95 1.73 32.95 1.87 32. 94 2.01 32. 93 2.16 33 34 33. 95 1.78 33.95 1. 93 33.94 2.08 33.93 2.22 34 35 34.95 1.83 34.94 1.98 34. 93 2.14 34. 93 2.29 35 36 35. 95 1.88 35.94 2.04 35. 93 2.20 35.92 2.35 36 37 36. 95 1.94 36.94 2.10 36.93 2.26 36.92 2.42 37 38 37. 95 1.99 37.94 2.15 37.93 2.32 37.92 2.49 38 39 38.95 2.04 38.94 2.21 38.93 2.38 38.92 2.55 39 40 39.95 2.09 39.94 2.27 39.93 2.44 39.91 2.62 40 41 40.94 2.15 40.93 2.32 40.92 2.50 40.91 2.68 41 42 41.94 2.20 41.93 2.38 41.92 2.56 41.91 2.75 42 43 42.94 2. 25 42. 93 2.44 42.92 2.63 42.91 2.81 43 44 43.94 2.30 43.93 2.49 43.92 2.69 43.91 2.88 44 45 44.94 2.36 44.93 2.55 44.92 2.75 44.90 2.94 45 46 45.94 2.41 45.93 2.61 45.91 2.81 45.90 3.01 46 47 46.94 2.46 46.92 2.66 46.91 2.87 46.90 3.07 47 48 47. 93 2.51 47.92 2.72 47.91 2.93 47.90 3.14 48 49 48. 93 2. 56 4S. 92 2.78 48.91 2.99 48.90 3.20 49 50 49. 93 2.62 49.92 2.83 49.91 3.05 49.89 3.27 50 | C3 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 8 3 1 p 87 >. 86^ r. 86J, 2- 8C> r % 14 TABLE 4. TRAVERSE TABLE. b 3. 3M o 3K 2 - 3%. o R 1 3 Q O Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P 51 50.93 2.67 50.92 2.89 50.90 3.11 50.89 3.34 51 52 51.93 2.72 i 51. 92 2.95 5f.flO 3.17 51.89 3.40 52 53 52. 93 2.77 52.91 3.00 o2. 90 3.24 52.89 3.47 53 54 53.93 2.83 53.91 3. (Hi 5:5. 90 3.30 53.88 3.53 54 55 54.92 2.88 54.91 3.12 54.90 3.36 54. 88 3.60 55 56 55.92 2.93 55.91 3.17 55.90 3.42 55. 88 3.66 56 57 56.92 2.98 56.91 3.23 56.89 3.48 56.88 3.73 57 58 57.92 3.04 57.91 3.29 57.89 3.54 57.88 3.79 58 59 58.92 3.09 58.91 3.34 58.89 3.60 58.87 3.86 59 60 59.92 3.14 59.90 3.40 59.89 3.66 59.87 3.92 60 61 60.92 3.19 60.90 3.46 60.89 3.72 60.87 3.99 61 62 61.92 3.24 61.90 3.51 61.88 3.79 61. 87 4.05 62 63 62.91 3.30 62.90 3.57 62. 88 3.85 62.87 4.12 63 64 63.91 3. 35 63.90 3.63 63.88 3.91 63.86 4.19 64 65 64.91 3.40 64.90 3. 69 64. 88 3.97 64.86 4.25 65 66 65.91 3.45 65.89 3.74 65.88 4.03 65.86 4.32 66 67 66.91 3.51 66.89 3.80 66.88 4.09 66.86 4.38 67 68 67.91 3.56 67.89 3.86 67.87 4.15 67.85 4.45 68 69 68.91 3.61 68.89 3.91 68.87 4.21 68.85 4.51 69 70 69.90 3.66 69.89 3.97 69.87 4.27 69. 85' 4.58 70 71 70.90 3.72 70.89 4.03 70.87 4.33 70.85 4.64 71 72 71.90 3.77 71.88 4.08 71.87 4.40 71.85 4.71 72 73 72. 90 3.82 72. 88 4.14 72.86 4.46 72.84 4.77 73 74 73.90 3.87 73. 88 4.20 73. 86 4.52 73.84 4.84 74 75 74.90 3.93 74.88 4.25 74. 86 4.58 74.84 4.91 75 76 75. 90 3.98 75. 88 4.31 75.86 4.64 75. 84 4.97 76 77 76.89 4.03 76.88 4.37 76.86 4.70 76. 84 5.04 77 78 77.89 4.08 77.87 4.42 77.85 4.76 77.83 5.10 78 79 78.89 4.13 78. S'7 4.48 78.85 4.82 78.83 5.17 79 SO 79.89 4.19 79.87 4.54 79. 85 4.88 79.83 5.23 80 81 80.89 4.24 80.87 4.59 80.85 4.94 80.83 5.30 81 82 81.89 4.29 81. 87 4.65 81.85 5.01 81.82 5.36 82 83 82. 89 4.34 82.87 4.71 82.85 5.07 82.82 5.43 83 84 83. 88 4.40 83.86 4.76 83. 84 5.13 83.82 5.49 84 85 84.88 4.45 84.86 4.82 84.84 5.19 84.82 5.56 85 86 85.88 4.50 85.86 4.88 85.84 5.25 85.82 5.62 86 87 86.88 4.55 86.86 4.93 86.84 5.31 86.81 5.69 87 88 87.88 4.61 87.86 4.99 87.84 5.37 87.81 5.76 88 89 88.88 4.66 88.86 5.05 88.83 5.43 88.81 5.82 89 90 89.88 4.71 89.86 5.10 89.83 5.49 89.81 5.89 90 91 90.88 4.76 90.85 5.16 90.83 5.56 90.81 5.95 91 92 91.87 4.81 91. 85 5.22 91. 83 5.62 91.80 6.02 92 93 92.87 4.87 92.85 5.27 92.83 5.68 92.80 6.08 93 94 93. 87 4.92 93.85 5.33 93. 82 5.74 93.80 6.15 94 95 94.87 4.97 94.85 5.39 94. 82 5.80 94.80 6.21 95 96 95.87 5.02 95.85 5.44 95.82 5.86 95.79 6.28 96 97 96.87 5.08 96.84 5.50 96.82 5.92 96.79 6.34 97 98 97.87 5.13 97.84 5.56 97.82 5.98 97.79 6.41 98 99 98.86 5.18 98.84 5.61 98.82 6.04 98. 79 6.47 99 100 99.80 5.23 99.84 5.67 99.81 6.10 99.79 6.54 100 1 03 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. I s ft 87. 86%. 86^. 86M'. ft 15 TABLE 4. -TRAVERSE TABLE. u c 4 C VA 4H VA ". ti 1 I P Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. i 1.00 0.07 1.00 0.07 1.00 0.08 1.00 0.08 i 2 2.00 0.14 1.99 0.15 1.99 0.16 1.99 0.17 2 3 2.99 0.21 2.99 0.22 2.99 0.24 2.99 0.25 3 4 3.99 0.28 3.99 0.30 3.99 0.31 3.99 o.; 4 5 4.99 0.35 4.99 0.37 4.98 0.39 4.98 0.41 5 6 5.99 0.42 5.98 0.44 5.98 0.47 5.98 0.50 6 7 6.98 0.49 6.98 0.52 6.98 0.55 6.98 0.58 7 8 7.98 0.56 7.98 0. 59 7.98 0.63 7.97 0. ()C) 8 9 8.98 0.63 8.98 0.67 8.97 0.71 8.97 0. 75 9 10 9.98 0.70 9.97 0.74 9.97 0.78 9.97 0.83 10 11 10.97 0.77 10.97 0.82 10.97 0.86 10. 96 0.91 11 12 11.97 0.84 11.07 0.89 11.96 0.94 11.96 0.99 12 13 12.97 0.91 12.9ti 0.96 12.% 1.02 12.% 1.08 13 14 13.97 0.98 13.96 1.04 13.% 1.10 11.95 1.16 14 15 14.96 1.05 14.% 1.11 14. 95 1.18 14. 95 1.24 15 16 15. % 1.12 15. 96 1.19 15.95 1.26 15. 9.5 1.32 16 17 16.96 1.19 16.95 1.20 16. 95 1.33 16.94 1.41 17 18 17. 96 1.26 17.95 1.33 17 94 1.41 17.94 1.49 18 19 18.95 1.33 18.95 1.41 18.94 .49 18.93 1.57 19 20 19.95 1.40 19.95 1.48 19.94 .57 19.93 1.C6 20 21 20.95 1.46 20.94 1.56 20. 94 1.65 20.93 1.74 21 22 21.95 1.53 21.94 .63 21.93 1.73 21.92 1.82 22 23 22.94 1.60 22.94 .70 22.93 1.80 22.92 1.90 23 24 23.94 1.67 23.93 .78 23.93 1.88 23.92 1.99 24 25 24.94 1.74 24.93 .85 24.92 1.96 24.91 2.07 25 26 25.94 1.81 25.93 .93 25.92 2.04 25.91 2.15 26 27 26.93 1.88 26. 93 2.00 26.92 2.12 26.91 2.24 27 28 27.93 1.95 27.92 2.08 27.91 2,20 27.90 2.32 28 29 28.93 2.02 28.92 2.15 28.91 2.28 28.90 2.40 29 30 29.93 2.09 29.92 2.22 29.91 2.35 29.90 2.48 30 31 30.82 2.16 30.91 2.30 30.90 2.43 30.89 2.57 31 32 31.92 2.23 31.91 2.37 31.90 2.51 31.89 2.65 32 33 32.92 2.30 32.91 2.45 32.90 2.59 32.89 2.73 33 34 33.92 2.37 33.91 2.52 33.90 2.67 33.88 2.82 34 35 34.91 2.44 34.90 2.59 34.89 2.75 34.88 2.90 35 36 35.91 2.51 35.90 2.67 35.89 2.82 35.88 2.98 36 37 36.91 2.58 36.90 2.74 36.89 2.90 36.87 3.06 37 38 37.91 2.65 37.90 2.82 37.88 2.98 37.87 3.15 38 39 as. 90 2.72 38.89 2.89 38.88 3.06 38.87 3.23 39 10 39.90 2.79 39.89 2.96 39.88 3.14 39.86 3.31 40 41 40.90 2.86 40.89 3.04 40.87 3.22 40.86 3.40 41 42 41.90 2.93 41.88 3.11 41.87 3.30 41.86 3.48 42 43 42.90 3.00 42.88 3.19 42.87 3.37 42.85 3.56 43 44 43.89 3.07 43.88 3.26 43. 86 3.45 43.85 3.64 44 45 44.89 3.14 44.88 3.33 44.86 3.53 44.85 3.73 45 46 45.89 3.21 45.87 3.41 45. 86 3.61 45.84 3.81 46 47 46.89 3.28 46.87 3.48 46.86 3.69 46.84 3.89 47 48 47.88 3.35 47.87 3.56 47.85 3.77 47.84 3.97 48 49 48.88 3.42 48.87 3.63 48.85 3.84 48.83 4.06 49 50 49.88 3.49 49.86 3.71 49.85 3.92 49.83 4.14 50 i Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. I I 8( 85; 4. 85J gj 85 4- 5 1G TABLE 4. TRAVERSE TABLE. b 4 V r. 4} - 43, i. b P Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. p 51 50.88 3.56 50.86 3.78 50.84 4.00 50.82 4.22 51 52 51.87 3.63 /)!. SO 3.85 51.84 4.08 51.82 4.31 52 53 52.87 3.70 52.85 3.93 ->-'. N4 4.16 52.82 4.39 53 54 53.87 3.77 53.85 4.00 53.83 4.24 53.81 4.47 54 55 54.87 3.84 54.85 4.08 54.83 .32 54.81 4.55 55 56 55.86 3.91 55.85 4.15 55.83 .39 55.81 4.64 56 57 56.86 3.98 50.84 4.22 5 6^ o 63^ o o 1' 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I J 0.99 0.10 0.99 0.11 0.99 0.11 0.99 0.12 i 2 1.99 0.21 1.99 0.22 1.99 0.23 1.99 0.24 2 3 2.98 0.31 2.98 0.33 2.98 0.34 2.98 0.35 3 4 3.98 0.42 3.98 0.44 3.97 0.45 3.97 0.47 4 5 4.97 0.52 4.97 0.54 4.97 0.57 4.97 0.59 5 6 5.97 0.63 5.96 0.65 5.96 0.68 5.96 0.71 6 7 6.96 0.73 6.96 0.76 6.96 0.79 6.95 0.82 7 8 7.96 0.84 7.95 0.87 7.95 0.91 7.94 0.94 8 9 8.95 0.94 8.95 0.98 8.94 .02 8.94 1.06 9 10 9.95 1.05 9.94 1.09 9.94 .13 9.93 1.18 10 11 10.94 1.15 10.93 1.20 10.93 .25 10.92 1.29 11 12 11.93 1.25 11.93 .31 11.92 .36 11.92 1.41 12 13 12.93 1.36 12.92 .42 12.92 .47 12.91 1.53 13 14 13.92 1.46 13.92 .52 13.91 .58 13.90 1.65 14 15 14.92 1.57 14.91 1.63 14.90 .70 14.90 1.76 15 16 15.91 1.67 15.90 1.74 15.90 .81 15.89 1.88 16 17 16.91 1.78 16.90 1.85 16.89 .92 16.88 2.00 17 18 17.90 1.88 17.89 1.96 17.88 2.04 17.88 2.12 18 19 18.90 1.99 18.89 2.07 18.88 2.15 18.87 2.23 19 20 19.89 2.09 19.88 2.18 19.87 2.26 19.86 2.35 20 21 20.88 2.20 20.88 2.29 20.87 2.38 20.85 2.47 21 22 21.88 2.30 21.87 2.40 21.86 2.49 21.85 2.59 22 23 22.87 2.40 22.86 2.50 22.85 2.60 22.84 2.70 23 24 23.87 2.51 23.86 2.61 23.85 2.72 23.83 2.82 24 25 24.86 2.61 24.85 2.72 24.84 2.83 24.83 2.94 25 26 25.86 2.72 25.85 2.83 25.83 2.94 25.82 3.06 26 27 26.85 2.82 26.84 2.94 26.83 3.06 26.81 3.17 27 28 27.85 2.93 27.83 3.05 27.82 3.17 27.81 3.29 28 29 28.84 3.03 28.83 3.16 28.81 3.28 28.80 3.41 29 30 29.84 3.14 29.82 3.27 29.81 3.40 29.79 3.53 30 31 30,83 3.24 30.82 3.37 30.80 3.51 30.79 3.64 31 32 31.82 3.34 31.81 3.48 31.79 3.62 31.78 3.76 32 33 32.82 3.45 32.80 3.59 32.79 3.74 32.77 3.88 33 34 33.81 3.55 33.80 3.70 33.78 3.85 33.76 4.00 34 35 34.81 3.66 34.79 3.81 34.78 3.96 34.76 4.11 35 36 35.80 3.76 35.79 3.92 35.77 4.08 35.75 4.23 36 37 36.80 3.87 36.78 4.03 36.76 4.19 36.74 4.35 37 38 37.79 3.97 37.77 4.14 37.76 4.30 37.74 4.47 38 39 38.79 4.08 38.77 4.25 38.75 4.41 38.73 4.58 39 40 39.78 4.18 39.76 4.35 39.74 4.53 39.72 4.70 40 41 40.78 4.29 40.76 4.46 40.74 4.64 40.72 4.82 41 42 41.77 4.39 41.75 4.57 41.73 4.75 41.71 4.94 42 43 42.76 4.49 42.74 4.68 42.72 4.87 42.70 5.05 43 44 43.76 4.60 43.74 4.79 43. 72 4.98 43.70 5.17 44 45 44.75 4.70 44.73 4.90 44.71 5.09 44.69 5.29 45 46 45.75 4.81 45. 73 5.01 45.70 5.21 45.68 5.41 46 47 46.74 4.91 46.72 5.12 46. 70 5.32 46.67 5.52 47 48 47.74 5.02 47.71 5.23 47. 69 5.43 47.67 5.64 48 49 48.73 5.12 48.71 5.33 48.69 5.55 48.66 5.76 49 50 49.73 5.23 49.70 5.44 49.68 5.66 49.65 5.88 50 I Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 03 5 8< 1. 83^ c- 83J^ 83^ i 20 TABLE 4.-TRAVEKSE TABLE. a i 6. 6M. 6X2. GH. O P 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P 51 50.72 5.33 50.70 5.55 50.67 5.77 50.65 5.99 51 52 51.72 5.44 51.69 5.66 51.67 5.89 51.64 6.11 52 53 52.71 5.54 52.68 5.77 52.66 6.00 52.63 6.23 53 54 53.70 5.64 53.68 5.88 53.65 6.11 53.63 6.35 54 55 54.70 5.75 54.67 5.99 54.65 6.23 54.62 6.46 55 56 55.69 5.85 55.67 6.10 55.64 6.34 55.61 6.58 56 57 56.69 5.96 56.66 6.21 56.63 6.45 56.60 6.70 57 58 57.68 6.06 57.66 6.31 57.63 6.57 57.60 6.82 58 59 58.68 6.17 58.65 6.42 58.62 6.68 58.59 6.93 59 60 59.67 6.27 59.64 6.53 59.61 6.79 59.58 7.05 60 61 60.67 6.38 60.64 6.64 60.61 6.91 60.58 7.17 61 62 61.66 6.48 61.63 6.75 61.60 7.02 61.57 7.29 62 63 62.65 6.59 62.63 6.86 62.60 7.13 62.56 7.40 63 64 63.65 6.69 63.62 6.97 63.59 7.25 63.56 7.52 64 65 64.64 6.79 64. 61 7.08 64.58 7.36 64.55 7.64 65 66 65.64 6.90 65.61 7.19 65.58 7.47 65.54 7.76 66 67 66.63 7.00 66.60 7.29 66.57 7.58 66.54 7.88 67 08 67.63 7.11 67.60 7.40 67.56 7.70 67.53 7.99 68 69 68.62 7.21 68.59 7.51 68.56 7.81 68.52 8.11 69 70 69.62 7.32 69.58 7.62 69.55 7.92 69.51 8.23 70 71 70.61 7.42 70.58 7.73 70.54 8.04 70.51 8.35 71 72 71.61 7.53 71.57 7.84 71.54 8.15 71.50 8.46 72 73 72.60 7.63 72.57 7.95 72.53 8.26 72.49 8.58 73 74 73. 59 7.74 73.56 8.06 73.52 8.38 73.49 8.70 74 75 74. 59 7.84 74.55 8.17 74.52 8.49 74.48 8.82 75 76 75.58 7.94 75.55 8.27 75.51 8.60 75.47 8.93 76 77 76.58 8.05 76.54 8.38 76.51 8.72 76.47 9.05 77 78 77.57 8.15 77.54 8.49 77.50 8.83 77.46 9.17 78 79 78.57 8.26 78.53 8.60 78.49 8.94 78.45 9.29 79 80 79.56 8.36 79.53 8.71 79.49 9.06 79.45 9.40 80 81 80.56 8.47 80.52 8.82 80.48 9.17 80.44 9.52 81 82 81.55 8.57 81.51 8.93 81.47 9.28 81.43 9.64 82 83 82.55 8.68 82.51 9.04 82.47 9.40 82.42 9.76 83 84 83.54 8.78 83.50 9.14 83.46 9.51 83.42 9.87 84 85 84.53 8.88 84.50 9.25 84.45 9.62 84.41 9.99 85 86 85.53 8.99 85.49 9.36 85.45 9.74 85.40 10.11 86 87 86.52 9.09 86.48 9.47 86.44 9.85 86.40 10.23 87 88 87.52 9.20 87.48 9.58 87.43 9.96 87.39 10.34 88 89 88.51 9.30 88.47 9.69 88.43 10.08 88.38 10. 46 89 90 89.51 9.41 89.47 9.80 89.42 10.19 89.38 10.58 90 91 90.50 9.51 90.46 9.91 90.42 10.30 90.37 10.70 91 92 91.50 9.62 91.45 10.02 91.41 10.41 91.36 10.81 92 93 92.49 9.72 92.45 10.12 92.40 10.53 92.36 10. 93 93 94 93.49 9.83 93.44 10.23 93.40 10.64 93.35 11.05 94 95 94.48 9.93 94.44 10.34 94.39 10.75 94.34 11.17 95 96 95. 47 10.03 95.43 10.45 95.38 10.87 95.33 11.28 96 97 96.47 10.14 96.42 10.56 96.38 10.98 96.33 11.40 97 98 97. 46 10.24 97.42 10.67 97.37 11.09 97.32 11.52 98 99 98.46 10.35 98.41 10.78 98.36 11.21 98.31 11.64 99 100 99.45 10.45 99.41 10.89 99.36 11.32 99.31 11.75 100 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 8 c3 C3 03 i Q 84. 83^. 83^. 83^. 3 9 21 TABLE 4.-TRAVERSE TABLE. 2 r 7^ r. VA - VA e i sr I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. i i 0.99 0.12 0.99 0.13 0.99 0.13 0.99 0.13 i 2 1.99 0.24 1.98 0.25 1.98 0.26 1.98 0.27 2 3 2.98 0.37 2.98 0.38 2.97 0.39 2.97 0.40 3 4 3.97 0.49 3.97 0.50 3.97 0.52 3.96 0.54 4 5 4.96 0.61 4.96 0.63 4.96 0.65 4.95 0.67 5 6 5.96 0.73 5.95 0.76 5.95 0.78 5.95 0.81 6 7 6.95 0.85 6.94 0.88 6.94 0.91 6.94 0.94 7 8 7.94 0.97 7.94 1.01 7.93 1.04 7.93 1.08 8 9 8.93 1.10 8.93 .14 8.92 1.17 8.92 1.21 9 10 9.93 1.22 9.92 .26 9.91 1.31 9.91 1.35 10 11 10.92 .34 10.91 .39 10.91 1.44 10.90 1.48 11 12 11.91 .46 11.90 .51 11.90 1.57 11. 89 1.62 12 13 12.90 .58 12.90 .64 12.89 1.70 12.88 1.75 13 14 13.90 .71 13.89 1.77 13.88 1.83 13.87 1.89 14 15 14.89 .83 14.88 1.89 14.87 1.96 14.86 2.02 15 16 15.88 .95 15.87 2.02 15.86 2.09 15.85 2.16 16 17 16.87 2.07 16.86 2.15 16.85 2.22 16.84 2.29 17 18 17.87 2.19 17.86 2.27 17.85 2.35 17.84 2.43 18 19 18.86 2.32 18.85 2.40 18.84 2.48 18.83 2.56 19 20 19.85 2.44 19.84 2.52 19.83 2.61 19.82 2.70 20 21 20.84 2.56 20.83 2.65 20.82 2.74 20.81 2.83 21 22 21.84 2.68 21.82 2.78 21.81 2.87 21.80 2.97 22 23 22.83 2.80 22.82 2.90 22.80 3.00 22.79 3.10 23 24 23.82 2.92 23.81 3.03 23.79 3.13 23.78 3.24 24 25 24.81 3.05 24.80 3.15 24.79 3.26 24.77 3.37 25 26 25.81 3.17 25.79 3.28 25.78 3.39 25.76 3.51 26 27 26.80 3.29 26.78 3.41 26.77 3.52 26.75 3.64 27 28 27.79 3.41 27.78 3.53 27.76 3.65 27.74 3.78 28 29 28.78 3.53 28.77 3.66 28.75 3.79 28.74 3.91 29 30 29.78 3.66 29.76 3.79 29.74 3.92 29.73 4.05 30 31 30.77 3.78 30.75 3.91 30.73 4.05 30.72 4.18 31 32 31.76 3.90 31.74 4.04 31.73 4.18 31.71 4.32 32 33 32.75 4.02 32.74 4.16 32.72 4.31 32.70 4.45 33 34 33.75 4.14 33.73 4.29 33.71 4.44 33.69 4.58 34 35 34.74 4.27 34.72 .42 34.70 4.57 34.68 4.72 35 36 35.73 4.39 35.71 .54 35.69 4.70 35.67 4.85 36 37 36.72 4.51 36.70 .67 36.68 4.83 36.66 4.99 37 38 37.72 4.63 37.70 .80 37.67 4.96 37.65 5.12 38 39 38.71 4.75 38.69 .92 38.67 5.09 38.64 5.26 39 40 39.70 4.87 39.68 5.05 39.66 5.22 39.63 5.39 40 41 40.69 6.00 40.67 5.17 40.65 5.35 40.63 5.53 41 42 41.69 5.12 41. 66 5.30 41.64 5.48 41.62 5.66 42 43 42.68 5.24 42.66 5.43 42.63 5.61 42.61 5.80 43 44 43.67 5.36 43.65 5.55 43.62 5.74 43.60 5.93 44 45 44.67 5.48 44.64 5.68 44.62 5.87 44.59 6.07 45 46 45.66 5.61 45.63 5.81 45.61 6.00 45.58 6.20 46 47 46.65 5.73 46.62 5.93 46.60 6.13 46.57 6.34 47 48 47.64 5.85 47.62 6.06 47.59 6.27 47.56 6.47 48 49 48.63 5.97 48.61 6.18 48.58 6.40 48.55 6.61 49 50 49.63 6.09 49.60 6.31 49.57 6.53 49.54 6.74 50 ^ Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 8 a 03 a C3 3 ft 8C 823 4- 821 4. 82i 4. -S .2 ft 22 TABLE 4. TRAVERSE TABLE. B 7. 7M 7^ 73/0 B m 4 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 50.62 6.22 50.59 6.44 50.56 6.66 50.53 6.88 51 52 51. 61 6.34 51.58 6.56 51.56 6.79 51.53 7.01 52 53 52.60 6.46 52.58 6.69 52.55 6.92 52.52 7.15 53 54 53.00 6.58 53.57 6.81 53.54 7.05 53.51 7.28 54 55 54.59 6.70 54.56 6.94 54.53 7.18 54.50 7.42 55 56 55.58 6.82 55.55 7.07 55.52 7.31 55.49 7.55 56 57 56.58 6.95 56.54 7.19 56.51 7.44 56.48 7.69 57 58 57.57 7.07 57.54 7.32 57.50 7.57 57.47 7.82 58 59 58.56 7.19 58.53 7.45 58.50 7.70 58.46 7.96 59 60 59.55 7.31 59.52 7.57 59.49 7.83 59.45 8.09 60 61 60.55 7.43 60.51 7.70 60.48 7.96 60.44 8.23 61 62 61.54 7.56 61.50 7.82 61.47 8.09 61.43 8.36 62 63 62.53 7.68 62.50 7.95 62.46 8.22 62.42 8.50 63 64 63.52 7.80 63.49 8.08 63.45 8.35 63.42 8.63 64 65 64.52 7.92 64.48 8.20 64.44 8.48 64.41 8.77 65 66 65.51 8.04 65.47 8.33 65.44 8.61 65.40 8.90 66 67 66.50 8.17 66.46 8.46 66.43 8.75 66.39 9.04 67 68 67.49 8.29 67.46 8.58 67.42 8.88 67.38 9.17 68 69 68.49 8.41 68.45 8.71 68.41 9.01 68.37 9.30 69 70 69.48 8.53 69.44 8.83 69.40 9.14 69.36 9.44 70 71 70.47 8.65 70.43 8.96 70.39 9.27 70.35 9.57 71 72 71.46 8.77 71.42 9.09 71.38 9.40 71.34 9.71 72 73 72.46 8.90 72.42 9.21 72.38 9.53 72.33 9.84 73 74 73.45 9.02 73.41 9.34 73.37 9.66 73.32 9.98 74 75 74.44 9.14 74.40 9.46 74.36 9.79 74.31 10.11 75 76 75.43 9.26 75.39 9.59 75.35 9.92 75.31 10.25 76 77 76. 43 9.38 76.38 9.72 76. 34 10.05 76.30 10.38 77 78 77.42 9.51 77.38 9.84 77.33 10.18 77.29 10.52 78 79 78.41 9.63 78.37 9.97 78.32 10.31 78.28 10.65 79 80 79.40 9.75 79.36 10.10 79.32 10.44 79.27 10.79 80 81 80.40 9.87 80.35 10.22 80.31 10.57 80.26 10.92 81 82 81.39 9.99 81.34 10.35 81.30 10.70 81.25 11.06 82 83 82.38 10.12 82.34 10.47 82.29 10.83 82.24 11.19 83 84 83.37 10.24 83.33 10.60 83.28 10.96 83.23 11.33 84 85 84.37 10. 36 84.32 10.73 84.27 11.09 84.22 11.46 85 86 85.36 10.48 85.31 10.85 85.26 11.23 85.21 11.60 86 87 86.35 10.60 86.30 10.98 86.26 11.36 86.21 11.73 87 88 87.34 10.72 87.30 11.11 87.25 11.49 87.20 11.87 88 89 88.34 10.85 88.29 11.23 88.24 11.62 88.19 12.00 89 90 89.33 10.97 89.28 11.36 89.23 11.75 89.18 12.14 90 91 90.32 11.09 90.27 11.48 90.22 11.88 90.17 12.27 91 92 91.31 11.21 91.26 11.61 91.21 12.01 91.16 12.41 92 93 92.31 11.33 92.26 11.74 92.20 12.14 92.15 12.54 93 94 93.30 11.46 93.25 11.86 93.20 12.27 93.14 12.68 94 95 94.29 11.58 94.24 11.99 94.19 12.40 94.13 12.81 95 96 95.28 11.70 95.23 12.12 95.18 12.53 95.12 12.95 96 97 96.28 11.82 96. 22 12.24 96.17 12.66 96.11 13.08 97 98 97.27 11.94 97.22 12.37 97.16 12.79 97.10 13.22 98 99 98.26 12.07 98.21 12.49 98.15 12.92 98.10 13.35 99 100 99. 25 12.19 99.20 12.62 99.14 13.05 99.09 13.49 100 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 I 83. 82%. 82^- 82^. 1 Q 23 TABLE 4. -TRAVERSE TABLE. H 8. 8M- VA. m. Distance. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 0.99 0.14 0.99 0.14 0.99 0.15 0.99 0.15 1 2 1.98 0.28 1.98 0.29 1.98 0.30 1.98 0.30 2 3 2.97 0.42 2.97 0.43 2.97 0.44 2.97 0.46 3 4 3.96 0.56 3.96 0.57 3.96 0.59 3.95 0.61 4 5 4.95 0.70 4.96 0.72 4.95 0.74 4.94 0.76 5 6 5.94 0.84 5.94 0.86 5.93 0.89 5.93 0.91 6 7 6.93 0.97 6.93 1.00 6.92 1.03 6.92 1.06 7 8 7.92 l.li 7.92 1.15 7.91 1.18 7.91 1.22 8 9 8.91 1.25 8.91 1.29 8.90 1.33 8.90 1.37 9 10 9.90 1.39 9.90 1.43 9.89 1.48 9.88 1.52 10 11 10.89 1.53 10.89 1.58 10.88 1.63 10.87 1.67 11 12 11.88 1.67 11.88 1.72 11.87 1.77 11.86 1.83 12 13 12. 87 1.81 12.87 1.87 12. 86 1.92 12.85 1.98 13 14 13.86 1.95 13.86 2.01 13. 85 2.07 13.84 2.13 14 15 14.85 2.09 14.84 2.15 14.84 2.22 14.83 2.28 15 16 15.84 2.23 15.83 2.30 15.82 2.36 15.81 2.43 16 17 16.83 2.37 16. 82 2.44 16.81 2.51 16.80 2.59 17 18 17.82 2.51 17.81 2.58 17.80 2.66 17.79 2.74 18 19 18.82 2.64 18.80 2.73 18.79 2.81 18.78 2.89 19 20 19.81 2.78 19.79 2.87 19.78 2.96 19.77 3.04 20 21 20.80 2.92 20.78 3.01 20.77 3.10 20.76 3.19 21 22 21.79 3.06 21.77 3.16 21. 76 3.25 21.74 3.35 22 23 22.78 3.20 22.76 3.30 22.75 3.40 22.73 3.50 23 54 23.77 3.34 23.75 3.44 23. 74 3.55 23.72 3.65 24 25 24.76 3.48 24.74 3.59 24.73 3.70 24.71 3.80 25 26 25.75 3.62 25.73 3.73 25.71 3.84 25.70 3.96 26 27 26.74 3.76 26. 72 3.87 26.70 3.99 26.69 4.11 27 28 27.73 3.90 27.71 4.02 27.69 4.14 27.67 4.26 28 29 28.72 4.04 28.70 4.16 28.68 4.29 28.66 4.41 29 30 29.71 4.18 29.69 4.30 29.67 4.43 29.65 4.56 30 31 30.70 4.31 30.68 4.45 30.66 4.58 30.64 4.72 31 32 31.69 4.45 31.67 4.59 31.65 4.73 31.63 4.87 32 33 32.68 4.59 32.66 4.74 32.64 4.88 32.62 5. 02 33 34 33.67 4.73 33.65 4.88 33.63 5.03 33.60 5.17 34 35 34.66 4.87 34.64 5.02 34.62 5.17 34.59 5.32 35 36 35. 65 5.01 35.63 5.17 35.60 5.32 35.58 5.48 36 37 36.64 5.15 36.62 5.31 36.59 5.47 36.57 5.63 37 38 37.63 5.29 37.61 5.45 37.58 5.62 37.56 5.78 38 39 38.62 5.43 38.60 5.60 38.57 5.76 38.55 5.93 39 40 39.61 5.57 39.59 5.74 39.56 5.91 39.53 6.08 40 41 40.60 5.71 40.58 5.88 40.55 6.06 40.52 6.24 41 42 41.59 5.85 41.57 6.03 41.54 6.21 41.51 6.39 42 43 42.58 5.98 42. 55 6.17 42.53 6.36 42.50 6.54 43 44 43.57 6.12 43.54 6.31 43.52 6.50 43.49 6.69 44 45 44.56 6.26 44.53 6.46 44.51 6.65 44.48 6.85 45 46 45.55 6.40 45.52 6.60 45.49 6.80 45.46 7.00 46 47 46.54 6.54 46.51 6.74 46.48 6.95 46.45 7.15 47 48 47.53 6.68 47.50 6.89 47.47 7.09 47.44 7.30 48 49 48. 52 6.82 48.49 7.03 48.46 7.24 48.43 7.45 49 50 49.51 6.96 49.48 7.17 49.45 7.39 49.42 7.61 50 i Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i c a .2 82. 81M- 8iy 2 . 81&. -i Q 24 TABLE 4. TRAVERSE TABLE. 2 8. 8M- 8 1 A- 8%. 2 B 9 1 m Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P ' 51 50.50 7.10 50.47 7.32 50.44 7.54 50.41 7.76 51 52 51.49 7.24 51. 46 7.46 51.43 7.69 51.39 7.91 52 53 52.48 7.38 52.45 7.61 52.42 7.83 52.38 8.06 53 54 53.47 7.52 53.44 7.75 53.41 7.98 53.37 8.21 54 55 54.46 7.65 54. 43 7.89 54.40 8.13 54.36 8.37 55 56 55. 40 7.79 55.42 8.04 55.38 8.28 55.35 8.52 56 57 56.45 7.93 56.41 8.18 5(5. 37 8.43 56.34 8.67 57 58 57.44 8.07 57.40 8.32 57.36 8.57 57.32 8.82 58 59 58.43 8.21 58.39 8.47 58.35 8.72 58. 31 8.98 59 60 59.42 8.35 59.38 8.61 59.34 8.87 59.30 9.13 60 61 60.41 8.49 60.37 8.75 60.33 9.02 60.29 9.28 61 62 61.40 8.63 61.36 8.90 61.32 9.16 61.28 9.43 62 63 62. 39 8.77 62.35 9.04 62. 31 9.31 62.27 9.58 63 64 63.38 8.91 63.34 9.18 63. 30 9.46 63.26 9.74 64 65 64.37 9.05 64. 33 9. 33 64.29 9.61 64.24 9.89 65 66 65. 36 9.19 65.32 9.47 65.28 9.76 65.23 10. 04 66 67 66.35 9.32 66. 31 9.61 66.26 9.90 66. 22 10.19 67 68 67. 34 9.46 67.30 9.76 67.25 10. 05 67.21 10.34 68 69 68.33 9.60 68.29 9.90 68.24 10.20 68.20 10.50 69 70 69.32 9.74 69.28 10.04 69.23 10.35 69.19 10.65 70 71 70.31 9.88 70.27 10.19 70.22 10.49 70.17 10.80 71 72 71.30 10.02 71.25 10.33 71.21 10.64 71.16 10.95 72 73 72.29 10. 16 72. 24 10.47 72.20 10.79 72. 15 11.11 73 74 73.28 10.30 73. 23 10.62 73.19 10.94 73.14 11.26 74 75 74.27 10.44 74.22 10.76 74.18 11.09 74. 13 11.41 75 76 75.26 10.58 75. 21 10.91 75. 17 11.23 75.12 11.56 76 77 76. 25 10.72 76. 20 11.05 76.15 11. 38 76.10 11.71 77 78 77.24 10.86 77.19 11.19 77.14 11.53 77.09 11.87 78 79 78.23 10.99 78.18 11.34 78.13 11. 68 78.08 12.02 79 80 79.22 11.13 79.17 11.48 79.12 11.82 79.07 12.17 80 81 80.21 11.27 80.16 11.62 80.11 11.97 80.06 12.32 81 82 81.20 11.41 81. 15 11.77 81.10 12.12 81.05 12.47 82 83 82.19 11.55 82.14 11.91 82.09 12.27 82.03 12.63 83 84 83.18 11.69 83. 13 12.05 83.08 12.42 83.02 12.78 84 85 84.17 11.83 84.12 12.20 84.07 12. 56 84.01 12. 93 85 86 85. 16 11.97 85.11 12.34 85. 06 12.71 85.00 13.08 86 87 86.15 12.11 86. 10 12.48 86. 04 12.86 85. 99 13. 23 87 88 87.14 12.25 87.09 12.63 87.03 13.01 86.98 13.39 88 89 88.13 12.39 88.08 12.77 88.02 13.16 87.96 13.54 89 90 89.12 12.53 89.07 12.91 89.01 13.30 88.95 13.69 90 91 90.11 12.66 90.06 13.06 90.00 13.45 89.94 13.84 91 92 91.10 12.80 91.05 13. 20 90.99 13.60 90.93 14.00 92 93 92.09 12.94 92.04 13.34 91.98 13.75 91.92 14.15 93 94 93. 09 13.08 93.03 13.49 92.97 13.89 92.91 14.30 94 95 94.08 13.22 94.02 13.63 93.96 14.04 93.89 14.45 95 96 95.07 13.36 95.01 13.78 94.95 14.19 94.88 14.60 96 97 96.06 13.50 96.00 13.92 95. 93 14.34 95.87 14.76 97 98 97.05 13.64 96.99 14.06 96. 92 14.49 96. 86 14.91 98 99 98.04 13.78 97.98 14.21 97.91 14.63 97.85 15.06 99 100 99.03 13.92 98.97 14. 35 98.90 14.78 98.84 15.21 100 i Dep. Lat. Dep. Lat. Dep, Lat. Dep. Lat. j 1 82. 81%. 81^. 81M- 5 25 TABLE 4. TRAVERSE TABLE. ffl 9. 9^ 9M 9M 2 I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 1 0.99 0.16 0.99 0.16 0.99 0.17 0.99 0.17 i 2 1.98 0.31 1.97 0.32 1.97 0.33 1.97 0.34 2 2.96 0.47 2.96 0.48 2.96 0.50 2.96 0.51 3 4 3.95 0.63 3.95 0.64 3.95 0.66 3.94 0.68 4 5 4.94 0.78 4.93 0.80 4.93 0.83 4.93 0.85 5 6 5.93 0.94 5.92 0.96 5.92 0.99 5.91 1.02 6 7 6.91 1.10 6.91 1.13 6.90 1.16 6.90 1.19 7 8 7.90 1.25 7.90 1.29 7.89 1.32 7.88 1.35 8 9 8.89 1.41 8.88 1.45 8.88 1.49 8.87 1.52 9 10 9.88 1.56 9.87 1.61 9.86 1.65 9.86 1.69 10 11 10.86 1.72 10.86 1.77 10.85 1.82 10.84 1.86 11 12 11.85 1.88 11.84 1.93 11.84 1.98 11.83 2.03 12 13 12.84 2.03 12.83 2.09 12.82 2.15 12.81 2.20 13 14 13.83 2.19 13.82 2.25 13.81 2.31 13.80 2.37 14 15 14.82 2.35 14.80 2 41 14.79 2.48 14.78 2.54 15 16 15.80 2.50 15.79 2.57 15.78 2.64 15.77 2.71 16 17 16.79 2.66 16.78 2.73 16.77 2.81 16.75 2.88 17 18 17.78 2.82 17.77 2.89 17.75 2.97 17.74 3.05 18 19 18.77 2.97 18.75 3.05 18.74 3.14 18.73 3.22 19 20 19.75 3.13 19.74 3.21 19.73 3.30 19.71 3.39 20 21 20.74 3.29 20.73 3.38 20.71 3.47 20.70 3.56 21 22 21.73 3.44 21.71 3.54 21.70 3.63 21.68 3.73 22 23 22.72 3.60 22.70 3.70 22.68 3.80 22.67 3.90 23 24 23.70 3.75 23.69 3.86 23.67 3.96 23.65 4.06 24 25 24. 69 3.91 24.67 4.02 24.66 4.13 24.64 4.23 25 26 25.68 4.07 25.66 4.18 25.64 4.29 25.62 4.40 26 27 26.67 4.22 26.65 4.34 26.63 4.46 26.61 4.57 27 28 27.66 4.38 27.64 4.50 27.62 4.62 27.60 4.74 28 29 28.64 4.54 28.62 4.66 28.60 4.79 28.58 4.91 29 30 29.63 4.69 29.61 4.82 29.59 4.95 29.57 5.08 30 31 30.62 4.85 30.60 4.98 30.57 5.12 30.55 5.25 31 32 31.61 5.01 31.58 5.14 31.56 5.28 31.54 5.42 32 33 32.59 5.16 32.57 5.30 32.55 5.45 32.52 5.59 33 34 33.58 5.32 33. 56 5.47 33.53 5.61 33.51 5.76 34 35 34.57 5.48 34.54 5.63 34.52 5.78 34.49 5.93 35 36 35.56 5.63 35. 53 5.79 35.51 5.94 35.48 6.10 36 37 36.54 5.79 36.52 5.95 36.49 6.11 36.47 6.27 37 38 37. 53 5.94 37.51 6.11 37.48 6.27 37.45 6.44 38 39 3S.52 6.10 38.49 6.27 38.47 6.44 38.44 6.60 39 40 39.51 6.26 39.48 6.43 39.45 6.60 39.42 6.77 40 41 40.50 6.41 40.47 6.59 40.44 6.77 40.41 6.94 41 42 41.48 6.57 41.45 6.75 41.42 6.92 41.39 7.11 42 43 42.47 6.73 42.44 6.91 42.41 7.10 42.38 7.28 43 44 43.46 6.88 43.43 7.07 43.40 7.26 43.36 7.45 44 45 44.45 7.04 44.41 7.23 44.38 7.43 44.35 7.62 45 46 45. 43 7.20 45.40 7.39 45.37 7.59 45.34 7.79 46 47 46.42 7.35 46.39 7.55 46.36 7.76 46.32 7.96 47 48 47.41 7.51 47.38 7.72 47.34 7.92 47.31 8.13 48 49 48.40 7.67 48.36 7.88 48.33 8.09 48.29 8.30 49 50 49.38 7.82 49.35 8.04 49.32 8.25 49.28 8.47 50 I Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. | a 5 81. 80^. 80^. W . h TABLE 4. TRAVERSE TABLE. gg 9. 9M 9^ 9% b I ro" I 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 51 50.37 7.98 50.34 8.20 50.30 8.42 50.26 8.64 51 52 51.36 8.13 51.32 8.36 51.29 8.58 51.25 8.81 52 53 52.35 8.29 52.31 8.52 52.27 8.75 52.23 8.98 53 54 53.34 8.45 53. 30 8.68 53.26 8.91 53.22 9.14 54 55 54.32 8.60 54.28 8.84 54.25 9.08 54.21 9.31 55 56 55.31 8.76 55.27 9.00 55.23 9.24 55.19 9.48 56 57 56. 30 8.92 56.26 9.16 56. 22 9.41 56.18 9.65 57 58 57.29 9.07 57.25 9.32 57.20 9.57 57.16 9.82 58 59 58.27 9.23 58. 23 9.48 58.19 9.74 58.15 9.99 59 60 59.26 9.39 59.22 9.64 59.18 9.90 59.13 10.16 60 61 60.25 9.54 60.21 9.81 60.16 10.07 60.12 10.33 61 62 61.24 9.70 61.19 9.97 61.15 10.23 61.10 10.50 62 63 62.22 9.86 62.18 10.13 62.14 10.40 62.09 10.67 63 64 63.21 10.01 63.17 10.29 63.12 10.56 63.08 10.84 64 65 64.20 10.17 64.15 10.45 64.11 10.73 64.06 11.01 65 66 65.19 10.32 65.14 10.61 65.09 10.89 65.05 11.18 66 67 66.18 10.48 (56. 13 10.77 66.08 11.06 66.03 11.35 67 68 67.16 10.64 67.12 10. 93 67.07 11.22 67.02 11.52 68 69 68.15 10.79 68. 10 11.09 68.05 11.39 68.00 11.69 69 70 69.14 10.95 69.09 11.25 69.04 11.55 68.99 11.85 70 71 70.13 11.11 70.08 11.41 70.03 11.72 69.97 12.02 71 72 71.11 11.26 71.06 11.57 71.01 11.88 70.96 12.19 72 73 72.10 11.42 72.05 11. 73 72.00 12.05 71.95 12.36 73 74 73.09 11.58 73. 04 11.89 72.99 12.21 72.93 12.53 74 75 74.08 11.73 74.02 12.06 73.97 12.38 73.92 12.70 75 76 75.06 11.89 75.01 12.22 74.96 12.54 74.90 12.87 76 77 76.05 12.05 76.00 12.38 75.94 12.71 75. 89 13.04 77 78 77.04 12.20 76.99 12.54 76.93 12.87 76.87 13.21 78 79 78.03 12. 36 77.97 12.70 77.92 13.04 77.86 13.38 79 80 79.02 12.51 78.96 12.86 78.90 13.20 78.84 13.55 80 81 80.00 12.67 79.95 13.02 79.89 13.37 79.83 13.72 81 82 80.99 12.83 80.93 13.18 80.88 13.53 80.82 13.89 82 83 81.98 12.98 81.92 13.34 81.86 13.70 81.80 14.06 83 84 82.97 13.14 82.91 13.50 82.85 13.86 82.79 14.23 84 85 83.95 13.30 83.89 13.66 83.83 14.03 83.77 14.39 85 86 84.94 13.45 . 84.88 13.82 84.82 14.19 84.76 14.56 86 87 85.93 13.61 85.87 13.98 85.81 14.36 85.74 14.73 87 88 86. 92 13. 77 86. 86 14.15 86.79 14.52 86. 73 14.90 88 89 87.90 13.92 87.84 14.31 87.78 14.69 87.71 15.07 89 90 88.89 14.08 88.83 14.47 88.77 14.85 88.70 15.24 90 91 89.88 14.24 89.82 14.63 89.75 15.02 89.69 15.41 91 92 90.87 14. 39 90.80 14.79 90.74 15.18 90.07 15.58 92 93 91.86 14.55 91.79 14.95 91.72 15.35 91.66 15.75 93 94 92.84 14.70 92.78 15. 11 92.71 15.51 92.64 15.92 94 95 93. 83 14. 86 93.76 15.27 93.70 15.68 93. 63 16.09 95 96 94.82 15.02 94.75 15.43 94. 68 15.84 94.61 16.26 96 97 95. 81 15.17 95.74 15.59 95.67 16.01 95.60 16. 43 97 98 96.79 15. 33 96. 73 15.75 96. 66 16.17 96.58 16.60 98 99 97.78 15.49 97.71 15.91 97.64 16.34 97.57 16.77 99 100 98.77 15.64 98.70 16.07 98.63 16.50 98.56 16.93 100 I Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. I '1 81. 80%. 80^. * 5 27 TABLE 4. TRAVERSE TABLE. a 10. 10^. 10^. 10J. 1 | Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I i 0.98 0.17 0.98 0.18 0.98 0.18 0.98 0.19 1 2 1.97 0.35 1.97 0.36 1.97 0.36 1.96 0.37 2 3 2.95 0.52 2.95 0.53 2.95 0.55 2.95 0.56 3 4 3.94 0.69 3.94 0.71 3.93 0.73 3.93 0.75 4 5 4.92 0.87 4.92 0.89 4.92 0.91 4.91 0.93 5 6 5.91 1.04 5.90 1.07 5.90 1.09 5.89 1.12 6 7 6.89 1.22 6.89 1.25 6.88 1.28 6.88 1.31 7 8 7.88 1.39 7.87 1.42 7.87 1.46 7.86 1.49 8 9 8.86 1.56 8.86 1.60 8.85 1.64 8.84 1.68 9 10 9.85 1.74 9.84 1.78 9.83 1.82 9.82 1.87 10 11 10.83 1.91 10.82 1.96 10.82 2.00 10.81 2.05 11 12 11.82 2.08 11.81 2.14 11.80 2.19 11.79 2.24 12 13 12.80 2.26 12.79 2.31 12.78 2.37 12.77 2.42 13 14 13.79 2.43 13. 78 2.49 13.77 2. 55 13.75 2.61 14 15 14.77 2.60 14.76 2.67 14.75 2.73 14.74 2.80 15 1C 15.76 2.78 15.74 2.85 15.73 2.92 15.72 2.98 16 17 16.74 2.95 16.73 3.03 16.72 3.10 16. 70 3.17 17 18 17.73 3.13 17.71 3.20 17.70 3.28 17.68 3.36 18 19 18.71 3.30 18.70 3.38 18.68 3.46 18.67 3.54 19 20 19.70 3.47 19.68 3.56 19.67 3.64 19.65 3.73 20 21 20.68 3.65 20.66 3.74 20.65 3.83 20.63 3.92 21 22 21.67 3.82 21.65 3.91 21.63 4.01 21. 61 4.10 22 23 22.65 3.99 22.63 4.09 22.61 4.19 22.60 4.29 23 24 23.64 4.17 23.62 4.27 23.60 4.37 23.58 4.48 24 25 24.62 4.34 24.60 4.45 24.58 4.56 24.56 4.66 25 26 25.61 4.51 25.59 4.63 25.56 4.74 25.54 4.85 26 27 26.59 4.69 26.57 4.80 26.55 4.92 26.53 5.04 27 28 27.57 4.86 27.55 4.98 27.53 5.10 27.51 5.22 28 29 28.56 5.04 28.54 5.16 28.51 5.28 28.49 5.41 29 30 29.54 5.21 29.52 5.34 29.50 5.47 29.47 5.60 30 31 30.53 5.38 30.51 5.52 30.48 5.65 30.46 5.78 31 32 31.51 5.56 31.49 5.69 31.46 5.83 31. 44 5.97 32 33 32.50 5.73 32. 47 5.87 32.45 6.01 32.42 6.16 33 34 33.48 5.90 33.46 6.05 33. 43 6.20 33.40 6.34 34 35 34.47 6.08 34.44 6.23 34.41 6.38 34.39 6.53 35 36 35. 45 6.25 35.43 6.41 35.40 6.56 35.37 6.71 36 37 36. 44 6.42 36. 41 6.58 36. 38 6.74 36. 35 6.90 37 38 37.42 6.60 37.39 6.76 37.36 6.92 37.33 7.09 38 39 38.41 6.77 38.38 6. 94 38.35 7.11 38.32 7.27 39 40 39.39 6.95 39.36 7.12 39.33 7.29 39.30 7.46 40 41 40.38 7.12 40.35 7.30 40.31 7.47 40.28 7.65 41 42 41.36 7.29 41.33 7.47 41.30 7.65 41.26 7.83 42 43 42.35 7.47 42. 31 7.65 42.28 7.84 42.25 8.02 43 44 43.33 7.64 43.30 7.83 43.26 8.02 43. 23 8.21 44 45 44.32 7.81 44.28 8.01 44.25 8.20 44.21 8.39 45 46 45.30 7.99 45.27 8.19 45.23 8.38 45.19 8. 58 46 47 46.29 8.16 46.25 8.36 46.21 8.57 46. 18 8.77 47 48 47.27 8.34 47.23 8.54 47.20 8.75 47. 16 8.95 48 49 48.26 8.51 48.22 8.72 48.18 8.93 48.14 9.14 49 50 49.24 8.68 49.20 8.90 49.16 9.11 49.12 9.33 50 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 5 80. 79%. 79^. 79M- Q 28 TABLE 4. TRAVERSE TABLE. U 10. 10M. W. lOSr. g 1 I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 51 50.23 8.86 50.19 9.08 50.15 9.29 50.10 9.51 51 52 51.21 9.03 51.17 9.25 51.13 9.48 51.09 9.70 52 53 52.19 9.20 52.15 9.43 52.11 9.66 52.07 9.89 53 54 53.18 9.38 53.14 9.61 53.10 9.84 53.05 10.07 54 55 54.16 9.55 54.12 9.79 54.08 10.02 54.03 10.26 55 56 55.15 9.72 55.11 9.96 55.06 10.21 55.02 10.45 56 57 56.13 9.90 56.09 10.14 56.05 10.39 56.00 10.63 57 58 57.12 10.07 57. 07 10.32 57.03 10.57 56.98 10.82 58 59 58.10 10. 25 58.00 10.50 58.01 10.75 57.96 11.00 59 60 59.09 10.42 59.04 10.68 59.00 10.93 58.95 11.19 60 61 60.07 10.59 60.03 10.85 59.98 11.12 59.93 11.38 61 62 61.06 10.77 61.01 11.03 60.96 11.30 60.91 11.56 62 63 62.04 10.94 61.99 11.21 61.95 11.48 61.89 11.75 63 64 63.03 11.11 62.98 11.39 62.93 11.66 62. 8S 11.94 64 65 64.01 11.29 63.96 1.1.57 63.91 11.85 63.86 12.12 65 66 65.00 11.46 64.95 11.74 64.89 12.03 64.84 12.31 66 67 65. 98 11.63 65.93 11.92 65.88 12.21 65.82 12.50 67 68 66.97 11.81 66.91 12.10 66.86 12.39 66.81 12.68 68 69 67.95 11.98 67.90 12. 28 67.84 12.57 67.79 12.87 69 70 68.94 12.16 68.88 12.46 68.83 12.76 68.77 13.06 70 71 69.92 12.33 69.87 12.63 69. 81 12.94 69.75 13.24 71 72 70.91 12.50 70.85 12.81 70.79 13.12 70.74 13.43 72 73 71.89 12. 68 71.83 12.99 71.78 13.30 71.72 13.62 73 74 72.88 12.85 72.82 13.17 72. 76 13.49 72.70 13.80 74 75 73.86 13.02 73.80 13.35 73.74 13. 67 73. 68 13.99 75 76 74.85 13.20 74.79 13.52 74.73 13.85 74.67 14.18 76 77 75.83 13.37 75.77 13.70 75.71 14.03 75.65 14.36 77 78 76.82 13.54 76.76 13.88 76.69 14.21 76.63 14.55 78 79 77.80 13.72 77.74 14.06 77.68 14.40 77.61 14.74 79 80 78.78 13.89 78.72 14.24 78.66 14.58 78.60 14.92 80 81 79.77 14.07 79.71 14.41 79.64 14.76 79.58 15.11 81 82 80.75 14.24 80.69 14.59 80.63 14.94 80.56 15.29 82 83 81.74 14.41 81.68 14.77 81.61 15.13 81.54 15.48 83 84 82.72 14.59 82.66 14.95 82.59 15.31 82.53 15.67 84 85 83.71 14.76 83.64 15.13 83.58 15.49 83.51 15.85 85 86 84.69 14.93 84. 03 15.30 84.56 15.67 84.49 16. 04 86 87 85.68 15.11 85.61 15.48 85.54 15.85 85.47 16.23 87 88 86.66 15.28 86.60 15.66 86.53 16.04 86.46 16.41 88 89 87.65 15.45 87.58 15.84 87.51 16.22 87.44 16.60 99 90 88. 63 15.63 88.56 16.01 88.49 16.40 88.42 16.79 90 91 89.62 15.80 89. 55 16.19 89.48 16.58 89.40 16.97 91 92 90.60 15.98 90.53 16.37 90.46 16.77 90.39 17. 16 92 93 91.59 16.15 91.52 16.55 91.44 16.95 91.37 17.35 93 94 92.57 16.32 92.50 16.73 92.43 17.13 92.35 17.53 94 95 93.56 16.50 93.48 16.90 93.41 17.31 93.33 17.72 95 96 94.54 16.67 94.47 17.08 94.39 17.49 94.32 17.91 96 97 95.53 16.84 95.45 17.26 95.38 17.68 95.30 18.09 97 98 90.51 17.02 96.44 17.44 96.36 17.86 96.28 18.28 98 99 97.50 17.19 97.42 17. 62 97.34 18.04 97.26 18.47 99 100 98.48 17.36 98.40 17.79 98.33 18.22 98.25 18.65 100 I Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 5 80. 79%. 79^. im 1 fi 29 TABLE 4. -TRAVERSE TABLE. 11 11} C- 11} i- 112 i. d r r I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I i 0.98 0.19 0.98 0.20 0.98 0.20 0.98 0.20 i 2 1.96 0.38 1.96 0.39 1.96 0.40 1.96 0.41 2 3 2.94 0.57 2.94 0.59 2.94 0.60 2.94 0.61 3 4 3.93 0.76 3.92 0.78 3.92 0.80 3.92 0.81 4 5 4.91 0.95 4.90 0.98 4.90 1.00 4.90 1.02 5 6 5.89 1.14 5.88 1.17 5.88 1.20 5.87 1.22 6 7 6.87 1.34 6.87 1.37 6.86 1.40 6.85 1.43 7 8 7.85 1.53 7.85 1.56 7.84 1.59 7.83 1.63 8 9 8.83 1.72 8.83 1.76 8.82 1.79 8.81 1.83 9 10 9.82 1.91 9.81 1.95 9.80 1.99 9.79 2.04 10 11 10.80 2.10 10.79 2.15 10.78 2.19 10.77 2.24 11 12 11.78 2.29 11.77 2.34 11.76 2.39 11.75 2.44 12 13 12.76 2.48 12.75 2.54 12.74 2.59 12.73 2.65 13 14 13.74 2.67 13.73 2.73 13.72 2.79 13.71 2.85 14 15 14.72 2.86 14.71 2.93 14.70 2.99 14.69 3.05 15 16 15.71 3.05 15.69 3.12 15.68 3.19 15. 66 3.26 16 17 16.69 3.24 16.67 3.32 16.66 3.39 16.64 3.46 17 18 17.67 3.43 17.65 3.51 17.64 3.59 17.62 3.66 18 19 18.65 3.63 18.63 3.71 18.62 3.79 18.60 3.87 19 20 19.63 3.82 19.62 3.90 19.60 3.99 19.58 4.07 20 21 20.61 4.01 20.60 .10 20.58 4.19 20.56 4.28 21 22 21. 60 4.20 21.58 .29 21.56 4.39 21.54 4.48 22 23 22.58 4.39 22. 56 .49 22.54 4.59 22.52 4.68 23 24 23.56 4.58 23.54 .68 23.52 4.78 23.50 4.89 24 25 24.54 4.77 24.52 .88 24.50 4.98 24.48 5.09 25 26 25.52 4.96 25.50 5.07 25.48 5.18 25.46 5.29 26 27 26.50 5.15 26.48 5.27 26.46 5.38 26.43 5.50 27 28 27.49 5.34 27.46 5.46 27.44 5.58 27.41 5.70 28 29 28.47 5.53 28.44 5.66 28.42 5.78 28.39 5.91 29 30 29.45 5.72 29.42 5.85 29.40 5.98 29.37 6.11 30 31 30.43 5.92 30.40 6.05 30.38 6.18 30.35 6.31 31 32 31.41 6.11 31.39 6.24 31.36 6.38 31.33 6.52 32 33 32.39 6.30 32. 37 6.44 32.34 6.58 32.31 6.72 33 34 33.38 6.49 33.35 6.63 33.32 6.78 33.29 6.92 34 35 34.36 6.68 34.33 6.83 34.30 6.98 34.27 7.13 35 36 35.34 6.87 35.31 7.02 35.28 7.18 35.25 7.33 36 37 36.32 7.06 36.29 7.22 36.26 7.38 36.22 7.53 37 38 37.30 7.25 37.27 7.41 37.24 7.58 37.20 7.74 38 39 38.28 7.44 38.25 7.61 38.22 7.78 38.18 7.94 39 40 39.27 7.63 39.23 7.80 39.20 7.97 39.16 8.15 40 41 40.25 7.82 40.21 8.00 40.18 8.17 40.14 8.35 41 42 41.23 8.01 41.19 8.19 41.16 8.37 41.12 8.55 42 43 42.21 8.20 42.17 8.39 42.14 8.57 42. Id 8.76 43 44 43.19 8.40 43.15 8.58 43.12 8.77 43.08 8.96 44 45 44.17 8.59 44.14 8.78 44.10 8.97 44.06 9.16 45 46 45. 15 8.78 45.12 8.97 45.08 9.17 45.04 9.37 46 47 46. 14 8.97 46.10 9.17 46.06 9.37 46.02 9.57 47 48 47.12 9.16 47.08 9.36 47.04 9.57 46.99 9.77 48 49 48.10 9.35 48.06 9.56 48.02 9.77 47.97 9.98 49 50 49.08 9.54 49.04 9.75 49.00 9.97 48.95 10.18 50 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i i C3 .2 I I 79 78 i- 78} i. 78} i. a 30 TABLE 4. TRAVERSE TABLE. a | 11. HM. H^. 11%. O p Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 50.06 9.73 50.02 9.95 49.98 10.17 49.93 10.39 51 52 51.04 9.92 51.00 10.14 50.96 10.37 50.91 10.59 52 53 52.03 10.11 51.98 10.34 51.94 10.57 51.89 10.79 53 54 53.01 10.30 52.96 10.53 52.92 10.77 52.87 11.00 54 55 53.99 10.49 53.94 10.73 53.90 10.97 53.85 11.20 55 56 54.97 10. 69 54.92 10.93 54.88 11.16 54.83 11.40 56 57 55.95 10.88 55.90 11.12 55.86 11.36 55. 81 11.61 57 58 56.93 11.07 56.89 11.32 56.84 11.56 56.78 11.81 58 59 57.92 11.26 57.87 11.51 57.82 11.76 57.76 12.01 59 60 58.90 11.45 58.85 11.71 58.80 11.96 58.74 12.22 60 61 59.88 11.64 59.83 11.90 59.78 12.16 59.72 12.42 61 62 60.86 11.83 60.81 12.10 60.76 12.36 60.70 12.63 62 63 61.84 12.02 61.79 12.29 61.74 12.56 61.68 12.83 63 64 62.82 12.21 62.77 12.49 62.72 12.76 62.66 13.03 64 65 63.81 12.40 63.75 12.68 63.70 12.96 63.64 13.24 65 66 64.79 12.59 64.73 12.88 64.68 13.16 64.62 13.44 66 67 65. 77 12.78 65.71 13. 07 65.65 13.36 65.60 13.64 67 68 66.75 12.98 66.69 13.27 66. 63 13.56 66.58 13.85 68 69 67.73 13.17 67.67 13.46 67.61 13.76 67.55 14.05 69 70 68.71 13.36 68.65 13.66 68.59 13.96 68.53 14.25 70 71 69.70 13.55 69.64 13.85 69.57 14.16 69.51 14.46 71 72 70.68 13.74 70.62 14.05 70.55 14.35 70.49 14.66 72 73 71.66 13. 93 71.60 14.24 71. 53 14.55 71.47 14.87 73 74 72.64 14.12 72.58 14.44 72.51 14.75 72.45 15.07 74 75 73.62 14.31 73. 56 14.63 73.49 14.95 73.43 15.27 75 76 74.60 14.50 74.54 14.83 74.47 15.15 74.41 15.48 76 77 75.59 14.69 75.52 15.02 75.45 15.35 75.39 15.68 77 78 76.57 14.88 76.50 15.22 76.43 15.55 76.37 15.88 78 79 77.55 15.07 77.48 15.41 77.41 15.75 77.34 16.09 79 80 78.53 15.26 78.46 15.61 78.39 15.95 78.32 16.29 80 81 79.51 15.46 79.44 15.80 79.37 16.15 79.30 16.49 81 82 80.49 15.65 80.42 16.00 80.35 16.35 80.28 16.70 82 83 81.48 15.84 81.41 16.19 81.33 16.55 81.26 16.90 83 84 82.46 16.03 82.39 16.39 82.31 16.75 82.24 17.11 84 85 83.44 16.22 83.37 16.58 83. 29 16.95 83. 22 17.31 85 86 84.42 16.41 84.35 16.78 84.27 17.15 84.20 17.51 86 87 85.40 16.60 85.33 16.97 85.25 17.35 85.18 17.72 87 88 86.38 16.79 86.31 17.17 86.23 17.54 86.16 17.92 88 89 87.36 16.98 87.29 17.36 87.21 17.74 87.14 18.12 89 90 88.35 17.17 88.27 17.56 88.19 17.94 88.11 18.33 90 91 89.33 17.36 89.25 17.75 89.17 18.14 89.09 18.53 91 92 90.31 17.55 90.23 17. 95 90.15 18.34 90.07 18.74 92 93 91.29 17.75 91.21 18.14 91.13 18.54 91.05 18.94 93 94 92.27 17.94 92.19 18.34 92.11 18.74 92.03 19.14 94 95 93. 25 18.13 93.17 18.53 93. 09 18.94 93.01 19.35 95 % 94.24 18.32 94.16 18.73 94.07 19.14 93.99 19.55 96 97 95.22 18.51 95.14 18.92 95.05 19.34 94.97 19.75 97 98 96.20 18.70 96.12 19.12 96.03 19.54 95.95 19.96 98 99 97.18 18.89 97.10 19.31 97.01 19.74 96.93 20.16 99 100 98.16 19.08 98.08 19.51 97.99 19.94 97.90 20.36 100 i Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i 1 79. 78%. 78^. 78M- 1 31 TABLE 1. TRAVERSE TABLE. e K 12. 12M- 12^. 12%. q 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 i 0.98 0.21 0.98 0.21 0.98 0.22 0.98 0.22 i 2 1.96 0.42 1.95 0.42 1.95 0.43 1.95 0.44 2 3 2.93 0.62 2.93 0.64 2.93 0. 65 2.93 0.66 3 4 3.91 0.83 3.91 0.85 3.91 0.87 3.90 0.88 4 5 4.89 1.04 4.89 1.06 4.88 1.08 4.88 1.10 5 f> 5.87 1.25 5.86 1.27 5.86 1.30 5.85 1.32 6 7 6.85 1.46 6.84 1.49 6.83 1.52 6.83 1.54 7 8 7.83 1.66 7.82 1.70 7.81 1.73 7.80 1.77 8 9 8.80 1.87 8.80 1.91 8.79 1.95 8.78 1.99 9 10 9.78 2.08 9.77 2.12 9.76 2.16 9.75 2.21 10 11 10.76 2.29 10.75 2.33 10.74 2.38 10.73 2.43 11 12 11.74 2.49 11.73 2.55 11.72 2.60 11.70 2.65 12 13 12.72 2.70 12.70 2.76 12.69 2.81 12.68 2.87 13 14 13.69 2.91 13.68 2.97 13.67 3.03 13.65 3.09 14 15 14.67 3.12 14.66 3.18 14.64 3.25 14.63 3.31 15 10 15.65 3.33 15.64 3.39 15. 62 3.46 15. 01 3. 53 16 17 16.63 3.53 16. 61 3.61 16. GO 3.B8 16.58 3.75 17 18 17.61 3.74 17.59 3.82 17.57 3.90 17. 56 3.97 18 19 18.58 3.95 18.57 4.03 18.55 4.11 18.53 4.19 19 20 19.56 4.16 19.54 4.24 19.53 4.33 19.51 4.41 20 21 20.54 4.37 20.52 4.46 20.50 4.55 20.48 4.63 21 22 21.52 4.57 21.50 4.67 21.48 4.76 21.46 4.86 22 23 22.50 4.78 22.48 4.88 22.45 4.98 22.43 5.08 23 24 23.48 4.99 23.45 5.09 23.43 5.19 23.41 5.30 24 25 24.45 5.20 24.43 5.30 24.41 5.41 24.38 5.52 25 26 25.43 5.41 25.41 5.52 25.38 5.63 25. 36 5.74 26 27 26.41 5.61 26.39 5.73 26.36 5.84 26.33 5.96 27 28 27.39 5.82 27.36 5.94 27.34 6.06 27.31 6.18 28 29 28.37 6.03 28.34 6.15 28.31 6.28 28.28 6.40 29 30 29.34 6.24 29.32 6.37 29.29 6.49 29.26 6.62 30 31 30.32 6.45 30.29 6.58 30.27 6.71 30.24 6.84 31 32 31.30 6.65 31.27 6.79 31.24 6.93 31.21 7.06 32 33 32.28 6.86 32.25 7.00 32.22 7.14 32.19 7.28 33 34 33. 26 7.07 33.23 7.21 33.19 7.36 33.16 7.50 34 35 34.24 7.28 34.20 7.43 34.17 7.58 34.14 7.72 35 36 35.21 7.48 35.18 7.64 35.15 7.79 35.11 7.95 36 37 36. 19 7.69 36.16 7.85 36. 12 8.01 36.09 8.17 37 38 37.17 7.90 37. 13 8.06 37. 10 8.22 37.06 8.39 38 39 38.15 8.11 38.11 8.27 38. 08 8.44 38.04 8.61 39 40 39.13 8.32 39.09 8.49 39.05 8.66 39.01 8.83 40 41 40.10 8.52 40.07 8.70 40.03 8.87 39.99 9.05 41 42 41.08 8.73 41.04 8.91 41.00 9.09 40.96 9.27 42 43 42.06 8.94 42.02 9.12 41.98 9.31 41.94 9.49 43 44 43.04 9.15 43.00 9.34 42.96 9.52 42.92 9.71 44 45 44.02 9.36 43.98 9.55 43.93 9.74 43.89 9.93 45 46 44.99 9.56 44.95 9.76 44.91 9.96 44. 87 10. 15 46 47 45.97 9.77 45.93 9.97 45.89 10.17 45.84 10.37 47 48 46.95 9.98 46.91 10.18 46.86 10.39 46. 82 10.59 48 49 47.93 10.19 47.88 10.40 47.84 10.61 47.79 10.81 49 50 48.91 10.40 48.86 10.61 48.81 10.82 48.77 11.03 50 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 5 78. 77^. 77M. 77M- 5 32 TABLE 4. TRAVERSE TABLE. I u )0 12, 4- 12 ^- 12^ *f 1 p Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 49.89 10.00 49.84 10.82 49.79 11.04 49.74 11.26 51 52 50.86 10.81 50.82 11.03 50.77 11.25 50.72 11.48 52 53 51.84 11.02 51.79 11.25 51.74 11.47 51.09 11.70 53 54 52.82 11. 23 52.77 11.46 52.72 11.69 52. 67 11.92 54 55 53. 80 11.44 53.75 11.67 53. 70 11.90 53. 64 12.14 55 56 54.78 11.04 54.72 11.88 54. 07 12.12 54.62 12. 30 50 57 55. 75 11.85 55. 70 12.09 55. 05 12.34 55. 59 12.58 57 58 56. 73 12.06 56. 68 12. 31 50.63 12. 55 56. 57 12.80 58 59 57.71 12.27 57.66 12.52 57.60 12.77 57. 55 13. 02 59 00 58.09 12. 41 58.03 12.73 58.58 12.99 58.52 13.24 00 | 01 59.67 12. 08 59.61 12.94 59.55 13.20 59.50 13. 46 61 02 60.05 12.89 CO. 59 13.16 00.53 13.42 60.47 13.68 62 03 61.02 13.10 01.57 13.37 61.51 13. 04 61.45 13. 90 63 04 62.00 13.31 62.54 13.58 62.48 13.85 62.42 14.12 04 05 63.58 13.51 63. 52 13.79 63.46 14. 07 63. 40 14.35 65 GO 64.50 13.72 64.50 14.00 64.44 14.29 64.37 14.57 66 07 05.54 13. 93 05. 47 14.22 05. 41 14.50 05. 35 14. 79 07 08 6G.51 14.14 00.45 14.43 66.39 14.72 66. 32 15.01 68 69 07.49 14.35 07.43 14.64 67.36 14.93 67.30 15.23 69 70 68.47 14.55 68.41 14.85 68.34 15.15 68.27 15.45 70 71 69.45 14. 76 69.38 15.06 69.32 15. 37 09. 25 15. 67 71 72 70.43 14. 97 70.30 15. 28 70.29 15.58 70.22 15.89 72 73 71.40 15.18 71. 34 15.49 71.27 15.80 71.20 16.11 73 74 72.38 15.39 72.32 15.70 72. 25 16.02 72.18 16. 33 74 75 73.30 15.59 73. 29 15.91 73.22 16. 23 73. 15 16. 55 75 70 74.34 15.80 74. 27 16.13 74.20 16. 45 74.13 16.77 70 77 75.32 16.01 75.25 16.34 75.17 16. 07 75.10 16.99 77 78 76.30 16. 22 76. 22 16.55 76.15 16. 88 70.08 17.21 78 79 77.27 16.43 77. 20 16. 70 77.13 17.10 77.05 17.44 79 80 78.25 16.63 78.18 10.97 78.10 17.32 78.03 17. 60 80 81 79.23 16.84 79.16 17.19 79.08 17.53 79.00 17.88 81 82 80.21 17.05 80.13 17.40 80.00 17.75 79. 98 18.10 82 83 81.19 17.26 81.11 17. 01 81.03 17. 96 80.95 18.32 83 84 82. 10 17.40 82. 09 17. 82 82.01 18.18 81.93 18. 54 84 85 83. 14 17. 07 83. 06 18.04 82.99 18.40 82.90 18.76 85 ! 80 84.12 17.88 84.04 18.25 83. 96 18.01 83.88 18. 9S 86 87 85. 10 18.09 85.02 18.40 84. 94 18.83 84.85 19. 20 87 88 80.08 18. 30 86.00 IS. 07 85.91 19.05 85.83 19. 42 88 89 87.00 IS. 50 86.97 18.88 86.89 19. 20 86.81 19.04 89 90 88.03 18.71 87.95 19.10 87.87 19.48 87.78 19.86 90 91 89.01 18.92 88.93 19.31 88.84 19.70 88.76 20.08 91 92 89. 99 19. 13 89.91 19. 52 89.82 19.91 89. 73 20. 30 92 93 90.97 19. 34 90.88 19. 73 90.80 20. 13 90.71 20. 52 93 94 91.95 19. 54 91.86 19.94 91.77 20.35 91.68 20.75 94 95 92.92 19.75 92. 84 20.10 92.75 20. 56 92. 06 20. 97 95 96 93. 90 19.96 93.81 20. 37 93. 72 20.78 93. 63 21. 19 90 97 94.88 20.17 94.79 20.58 94. 70 20. 99 94.61 21.41 97 98 95. 80 20.38 95.77 20.79 95. 68 21.21 95.58 21. 03 98 99 96. 84 20.58 96.75 21.01 96. 65 21.43 96. 56 21.85 99 100 97.81 20.79 97.72 21.22 97.63 21.04 97. 53 22.07 100 I Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 8 3 78 772 r- 77} i- 77> i- 2 C 4147910- TABLE 4. -TRAVERSE TABLE. 13. 13M- 13M. 13?. 15M B I & I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 i 0.97 0.26 0.96 0.26 0.96 0.27 0.96 0.27 1 2 1.93 0.52 1.93 0.53 1.93 0.53 1.92 0.54 2 3 2.90 0.78 2.89 0.79 2.89 0.80 2.89 0.81 3 4 3.86 1.04 3.86 1.05 3.85 1.07 3.85 1.09 4 5 4.83 1.29 4.82 1.32 4.82 1.34 4.81 1.36 5 6 5.80 1.55 5.79 1.58 5.78 1.60 6.77 1.63 6 7 6.76 1.81 6.75 1.84 6.75 1.87 6.74 1.90 7 8 7.73 2.07 7.72 2.10 7.71 2.14 7.70 2.17 8 9 8.69 2.33 8.68 2.37 8.67 2.41 8.66 2.44 9 10 9.66 2.59 9.65 2.63 9.64 2.67 9. 62 2.71 10 11 10.63 2.85 10.61 2.89 10.60 2.94 10.59 2.99 11 12 11.59 3.11 11.58 3.16 11.56 3.21 11. 55 3.26 12 13 12.56 3.36 12.54 3.42 12. 53 3.47 12. 51 3.53 13 14 13. 52 3.62 13. 51 3. 68 13.49 3.74 13.47 3.80 14 15 14.49 3.88 14.47 3.95 14.45 4.01 14.44 4.07 15 16 15.45 4.14 15.44 4.21 15.42 4.28 15.40 4.34 16 17 16. 42 4.40 16. 40 4.47 16.38 4.54 16. 36 4.61 17 18 17. 39 4.66 17.37 4.73 17. 35 4.81 17. 32 4.89 18 19 18.35 4.92 18.33 5.00 18.31 5.08 18.29 5.16 19 20 19.32 5.18 19.30 5.26 19.27 5.34 19.25 5.43 20 21 20.28 5.44 20.26 5.52 20.24 5.61 20.21 5.70 21 22 21.25 5.69 21.23 5.79 21.20 5.88 21.17 . 5.97 22 23 22. 22 5.95 22.19 6.05 22.16 6.15 22.14 6.24 23 24 23. 18 6.21 23.15 6.31 23.13 6.41 23.10 6.51 24 25 24.15 6.47 24.12 6.58 24.09 6.68 24.06 6.79 25 26 25.11 6.73 25.08 6.84 25.05 6.95 25.02 7.06 26 27 26.08 6.99 26.05 7.10 20. 02 7.22 25.99 7.33 27 28 27.05 7.25 27.01 7.36 26.98 7.48 26. 95 7.60 28 29 28.01 7.51 27.98 7.63 27.95 7.75 27.91 7.87 29 30 28.98 7.76 28.94 7.89 28.91 8.02 28.87 8.14 30 31 29.94 8.02 29.91 8.15 29.87 8.28 29.84 8.41 31 32 30.91 8.28 30.87 8.42 30.84 8.55 30.80 8.69 32 33 31.88 8.54 31.84 8.68 31.80 8.82 31.76 8.96 33 34 32.84 8.80 32.80 8.94 32.76 9.09 32.72 9.23 34 35 33.81 9.06 33.77 9.21 33.73 9.35 33.69 9.50 35 36 34.77 9.32 34.73 9.47 34. 69 9.62 34. 65 9.77 36 37 35.74 9.58 35.70 9.73 35.65 9.89 35.61 10.04 37 38 36.71 9.84 36.66 10.00 36.62 10.16 36.57 10.31 38 39 37.67 10.09 37. 63 10.26 37.58 10.42 37. 54 10.59 39 40 38.64 10.35 38.59 10.52 38.55 10.69 38.50 10.86 40 41 39.60 10.61 39. 5G 10.78 39.51 10.96 39. 46 11.13 41 42 40.57 10.87 40. 52 11.05 40.47 11.22 40.42 11.40 42 43 41.53 11.13 41.49 11.31 41.44 11.49 41.39 11.67 43 44 42.50 11.39 42.45 11.57 42.40 11.76 42.35 11.94 44 45 43.47 11.65 43.42 11.84 43.36 12.03 43. 31 12. 21 45 46 44.43 11.91 44. 38 12.10 44.33 12.29 44.27 12.49 46 47 45. 40 12.16 45. 35 12.36 45. 29 12. ,56 45.24 12.76 47 48 46.36 12.42 46. 31 12. 63 46.25 12.83 46.20 13.03 48 49 47.33 12. C8 47.27 12.89 47.22 13.09 47. 16 13. 30 49 50 48.30 12.94 48.24 13.15 48.18 13.36 48.12 13.57 50 1 rrt Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 9 1 ft 75. 7434. 74M. 7. S 38 TABLE 4. -TRAVERSE TABLE. I 15. wr. * I*-. sr i CO Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 51 49.26 13.20 49.20 13.41 49.15 13.63 49.09 13.84 51 52 50.23 13.46 50.17 13. 68 50.11 13.90 50.05 14.11 52 53 51.19 13.72 51.13 13.94 51. 07 14.16 51.01 14.39 53 54 52.16 13.98 52.10 14.20 52. 04 14.43 51.97 14.66 54 55 53. 13 14.24 53. 06 14.47 53.00 14.70 52.94 14.93 55 56 54.09 14.49 54.03 14.73 53. 96 14.97 53. 90 15.20 56 57 55. 06 14.75 54. 99 14.99 54. 93 15. 23 54.86 15.47 57 58 56.02 15.01 55.96 15.26 55.89 15.50 55.82 15.74 58 59 56.99 15. 27 56. 92 15.52 56.85 15.77 56.78 16.01 59 60 57.96 15.53 57.89 15.78 57.82 16.03 57.75 16.29 60 61 58.92 15.79 58.85 16. 04 58.78 16.30 58.71 16.56 61 62 59.89 16. 05 59.82 16.31 59.75 16.57 59.67 16.83 62 63 60. 85 16.31 60.78 16.57 60.71 16.84 60.63 17.10 63 64 61.82 16.56 61.75 16.83 61. 67 17.10 61.60 17.37 64 65 62.79 16.82 62.71 17.10 62.64 17.37 62.56 17. 64 65 66 63. 75 17. 08 63.68 17.36 63. fO 17.64 63.52 17.92 66 67 64.72 17. 34 64.64 17.62 64. 56 17.90 64.48 18.19 67 68 65.68 17. 60 65.61 17.89 65. 53 18.17 65.45 18.46 68 69 66. 65 17. 86 66 57 18.15 66.49 18.44 66.41 18.73 69 70 67.61 18.12 67.54 18.41 67.45 18.71 67.37 19.00 70 71 68.58 18.38 68.50 18.68 68.42 18.97 68.33 19.27 71 72 69. 55 18. 63 69.46 18.94 69.38 19.24 69.30 19.54 72 73 70.51 18.89 70.43 19.20 70.35 19.51 70.26 19.82 73 74 71.48 19.15 71.39 19.46 71.31 19.78 71.22 20.09 74 75 72.44 19.41 72. 36 19.73 72.27 20.04 72.18 20.36 75 76 73.41 19.67 73.32 19. 99 73.24 20.31 73.15 20.63 76 77 74.38 19.93 74.29 20. 25 74.20 20.58 74.11 20.90 77 78 75.34 20.19 75.25 20.52 75. 16 20.84 75.07 21.17 78 79 76.31 20.45 76.22 20.78 76.13 21.11 76. 03 21.44 79 80 77. 27 20.71 77.18 21.04 77.09 21.38 77.00 21.72 80 81 78.24 20.96 78.15 21.31 78.05 21.65 77.96 21.99 81 82 79.21 21. 22 79.11 21.57 79.02 21.91 78.92 22.26 82 83 80.17 21.48 80.08 21.83 79.98 22.18 79.88 22. 53 83 84 81.14 21.74 81.04 22.09 80.94 22. 45 80.85 22.80 84 85 82.10 22. 00 82.01 22.36 81.91 22.72 81.81 23.07 85 86 83.07 22.26 82.97 22.62 82.87 22.98 82.77 23.34 86 87 84.04 22.52 as. 94 22.88 83.84 23.25 83.73 23. 62 87 88 85.00 22.78 84.90 23. 15 84.80 23. 52 84.70 23.89 88 89 85.97 23.03 85.87 23.41 85.76 23.78 85.66 24. 16 89 90 86.93 23.29 86.83 23.67 86.73 24.05 86.62 24.43 90 91 87.90 23.55 87.80 23.94 87.69 24.32 87.58 24.70 91 92 88.87 23.81 88.76 24.20 88.65 24.59 88.55 24.97 92 93 89. 83 24.07 89.73 24. 46 89.62 24.85 89.51 25.24 93 94 90.80 24.33 90.69 24.72 90.58 25.12 90. 47 25.52 94 95 91.76 24.59 91.65 24.99 91.54 25.39 91.43 25.79 95 96 92.73 24.85 92.62 25.25 92.51 25.65 92.40 26.06 96 97 93. 09 25.11 93.58 25.51 93. 47 25.92 93.36 26.33 97' 98 94.66 25. 36 94.55 25.78 94.44 26. 19 94. 32 26. 60 98 99 95.63 25.62 95.51 26. 04 95.40 26. 46 95.28 26. 87 99 100 96.59 25.88 96.48 26.30 96.36 26.72 96.25 27.14 100 i Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 5 75. 74%. 74M. 7*-. 5 TABLE 4. TRAVERSE TABLE. B E Mb 16^. 16H. 163-1. O 5 p g Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P 1 0.96 0.28 0.96 0.28 0.96 0.28 0.96 0.29 1 2 1.92 0.55 1.92 0.56 1.92 0.57 1.92 0.58 2 3 2.88 0.83 2.88 0.84 2.88 0.85 2.87 0.86 3 4 3.85 1.10 3.84 1.12 3.84 1.14 3.83 1.15 4 5 4.81 1.38 4.80 1.40 4.79 1.42 4.79 1.44 5 (i 5.77 1. 65 5.76 1.68 5.75 1.70 5.75 1.73 6 7 6.73 1. 93 6.72 1.96 6.71 1.99 6.70 2.02 7 8 7.69 2.21 7.68 2.24 7.67 2.27 7.66 2.31 8 9 8.65 2.48 8.64 2.52 8. 03 2.56 8.62 2.59 9 10 9.61 2.76 9.60 2.80 9.59 2.84 9.58 2.88 10 11 10.57 3.03 10.56 3.08 10.55 3.12 10.53 3.17 11 12 11. 54 3.31 11.52 3.36 11.51 3.41 11.49 3. 40 12 13 12. 50 3.58 12.48 3.64 12.46 3.69 12.45 3.75 13 14 13. 40 3.86 13.44 3.92 13.42 3.98 13.41 4.03 14 15 14.42 4.13 14.40 4.20 14. 38 4.26 14. 36 4.32 15 10 15.38 4.41 15.30 4.48 15.34 4.54 15.32 4.61 16 17 16.34 4.69 16.32 4.76 16. 30 4.83 16.28 4.90 17 IS 17.30 4.96 17.28 5.04 17.26 5.11 17.24 5.19 18 19 18.26 5.24 18.24 5.32 18.22 5.40 18.19 5.48 19 20 19. 23 5.51 19.20 5.60 19.18 5.68 19.15 5.76 20 21 20.19 5.79 20.16 5.88 20.14 5.96 20.11 6.05 21 22 21. 15 6.06 21.12 G.16 21.09 6.25 21.07 6.34 22 23 22.11 6.34 22.08 6.44 22.05 6.53 22. 02 6.63 23 24 23.07 6.62 23.04 6.72 23.01 6.82 22.98 6.92 24 25 24.03 6.89 24. 00 7.00 23.97 7.10 23.94 7.20 25 26 24.99 7.17 24. 96 7.28 24.93 7.38 24.90 7.49 26 27 25.95 7.44 25.92 7. 56 25.89 7.67 25.85 7.78 27 28 26.92 7.72 26.88 7.84 26. 85 7.95 26. 81 8.07 28 29 27.88 7.99 27.84 8.12 27.81 8.24 27.77 8.36 29 30 28.84 8.27 28.80 8.39 28.76 8.52 28.73 8.65 30 31 29.80 8.54 29. 76 8.67 29.72 8.80 29. 68 8.93 31 32 30.76 8.82 30.72 8.95 30.68 9.09 30.64 9.22 32 33 31.72 9.10 31.68 9.23 31.64 9.37 31.60 9.51 33 34 32.68 9.37 32. 64 9.51 32. 60 9.66 32. 56 9.80 34 35 33.64 9.65 33.60 9.79 33. 56 9.94 33.51 10.09 35 36 34.61 9.92 34. 56 10.07 34.52 10.22 34.47 10.38 36 37 35. 57 10.20 35. 52 10.35 35. 48 10.51 35. 43 10.66 37 38 36.53 10.47 36.- 48 10.63 36. 44 10.79 36. 39 10.95 38 39 37.49 10. 75 37.44 10.91 37. 39 11.08 37,35 11.24 39 40 38.45 11.03 38.40 11.19 38.35 11.36 38.30 11.53 40 41 39.41 11.30 39.36 11.47 39.31 11.64 39. 20 11.82 41 42 40.37 11.58 40. 32 11.75 40.27 11.93 40.22 12. 10 42 43 41.33 11.85 41. 28 12. 03 41.23 12.21 41. IS 12.39 43 44 42.30 12.13 42.24 12.31 42.19 12.50 42. 13 12.68 44 45 43. 26 12. 40 41. 20 12.59 43. 15 12.78 43.09 12.97 45 46 44. 22 12.68 44. 16 12.87 44.11 13.06 44. 05 13. 26 46 47 45.18 12. 95 45.12 13. 15 45. 06 13. 35 45. 01 13. 55 47 48 46. 14 13. 23 40.08 13. 43 46.02 13.63 45. 96 13.83 48 49 47. 10 13.51 47.04 13. 71 46.98 13.92 46. 92 14.12 49 50 48.06 13.78 48.00 13.99 47. 94 14.20 47.88 14.41 50 1 Dcp. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 s 74. 73-V- 73^. 73M- % 5 TABLE 4. TRAVERSE TABLE. e K 16. 1GM- 1CH. 16%. 1 P .Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 49.02 14. 06 48. 96 14.27 48.90 14.48 48.84 14.70 51 52 49.99 14.33 49. 92 14.55 49.86 14.77 49.79 14.99 52 53 50.95 14. 61 50.88 14.83 50.82 15.05 50. 75 15.27 53 54 51.91 14.88 51.84 15. 11 51.78 15.34 51.71 15.56 54 55 52.87 15. 16 52.80 15. 39 52.74 15. 62 52.67 ]5.85 55 56 53.83 15.44 53.76 15.67 53. 69 15.90 53.62 16.14 56 57 54. 79 15.71 54. 72 15.95 54.65 16.19 54.58 16.43 57 58 55. 75 15.99 55. C;8 16. 23 55. 61 16.47 55.54 16. 72 58 59 50.71 16. 26 56. 64 16. 51 56.57 16.76 56. 50 17.00 59 60 57.68 16.54 57. 60 16.79 57.53 17.04 57.45 17.29 60 61 58.64 16.81 58. 56 17.07 58.49 17.32 58.41 17.58 61 62 59. 60 17.09 59. 52 17. 35 59.45 17. 61 59.37 17.87 62 63 60.56 17.37 60. 48 17. (53 60.41 17.89 CO. 33 18. 10 63 64 61.52 17. 64 61. 44 17.91 61.36 18.18 61. 28 18.44 64 65 62. 48 17.92 62. 40 18.19 62.32 18.46 62.24 18. 73 65 66 63.44 18.19 63.36 18.47 63.28 18. 75 63 20 19.02 66 67 64.40 18.47 64.32 18. 75 64. 21 19.03 64.16 19.31 67 68 65.37 18.74 65.28 19. 03 65.20 19.31 65.11 19. 60 68 69 66. 33 19.02 66.24 19.31 66.16 19. 60 66. 07 19.89 69 70 67.29 19.29 67.20 19.59 67.12 19.88 67.03 20.17 70 71 68.25 19.57 68.16 19.87 68.08 20.17 67.99 20.46 71 72 69.21 19.85 69.12 20. 15 69. 04 20.45 68.95 20.75 72 73 70.17 20. 12 70.08 20.43 69.99 20.73 69.90 21.04 73 74 71.13 20.40 71.04 20.71 70.95 21.02 70. 86 21.33 74 75 72.09 20.67 72.00 20.99 71.91 21.30 71.82 21. 61 75 76 73. 06 20.95 72.96 21.27 72.87 21.59 72.78 21.90 76 77 74.02 21. 22 73.92 21.55 73.83 21.87 73.73 22.19 77 78 74.98 21.50 74.88 21.83 74.79 22. 15 74. 69 22.48 78 79 75.94 21.78 75.84 22. 11 75. 75 22.44 75. 65 22.77 79 80 76.90 22.05 76.80 22.39 76.71 22.72 76.61 23.06 80 81 77. 86 22. 33 77. 76 22. 67 77. 66 23.01 77.56 23.34 81 82 78.82 22. 60 78.72 22. 95 78.62 23.29 78.52 23. as 82 83 79.78 22.88 79. 68 23.23 79.58 23.57 79.48 23. 92 83 84 80.75 23. 15 80. 64 23.51 80.54 23.86 80.44 24.21 84 85 81.71 23.43 81. 60 23. 79 81.50 24. 14 81.39 24.50 85 86 82. 67 23. 70 82.66 24.07 82.46 24. 43 82.35 24.78 86 87 83. 63 23.98 83.52 24.35 83.42 24.71 83.31 25.07 87 88 84.59 24.26 84.48 24. 62 84. 38 24.99 84. 27 25.36 88 89 85.55 24. 53 85.44 24. 90 85. 33 25. 28 85.22 25.65 89 90 86.51 24.81 86.40 25.18 86.29 25.56 86.18 25.94 90 91 87.47 25.08 87.36 25.46 87.25 25.85 87. 14 26. 23 91 92 88.44 25.86 88.32 25.74 88.21 26. 13 as. 10 26.51 92 93 89.40 25.63 89. 28 26. 02 89.17 26.41 89. 05 26.80 93 94 90. 36 25.91 90.24 26.30 90.13 26. 70 90.01 27.09 94 95 91.32 20. 19 91.20 26. 58 91.09 26. 98 90.97 27.38 95 96 92.28 26. 46 92. 16 2(1. 80 92.05 27.27 91.93 27. 67 96 97 93. 24 26. 74 93. 12 27. 14 93. 01 27. 55 92. 88 27. 96 97 98 94.20 27.01 94. 08 27.42 93.96 27. 83 93. 84 28.24 98 99 95. 16 27.29 95.04 27.70 94.92 28.12 94.80 28. 53 99 100 96.13 27.56 96.00 27.98 95.88 28.40 95. 76 28.82 100 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 1 74. 73%. 73^. 73^. "w 5 41 TABLE 4. TRAVERSE TABLE. o 17. 17M- i7y 2 . 17%". O I p p Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. | 1 0.96 0.29 0.96 0.30 0.95 0.30 0.95 0.30 1 2 1.91 0.58 1.91 0.59 1.91 0.60 1.90 0.61 2 3 2.87 0.88 2.87 0.89 2.86 0.90 2.86 0.91 3 4 3.83 1.17 3.82 1.19 3.81 1.20 3.81 1.22 4 5 4.78 1.46 4.78 1.48 4.77 1.50 4.76 1.52 5 6 5.74 1.75 5.73 1.78 5.72 1.80 5.71 1.83 6 7 6.69 2.05 6.69 2.08 6. 68 2.10 6.67 2.13 7 8 7.65 2.34 7.64 2.37 7. <::? 2.41 7.62 2.44 8 9 8.61 2. 63 8.60 2.67 8.58 2.71 8.57 2.74 9 10 9.56 2.92 9.55 2.97 9.54 3.01 9.52 3.05 10 11 10.52 3.22 10.51 3.26 10.49 3.31 10.48 3.35 11 12 11.48 3.51 11.46 3.56 11. 44 3.61 11. 43 3.66 12 13 12.43 3.80 12.42 3.86 12. 40 3.91 12. 38 3.96 13 14 13.39 4.09 13.37 4.15 13.35 4.21 13. 33 4.27 14 15 14.34 4.39 14.33 4.45 14.31 4.51 14.29 4.57 15 10 15.30 4.68 15.28 4.74 15. 26 4.81 15.24 4.88 16 17 16.26 4.97 16.24 5.04 16.21 5.11 16.19 5.18 17 18 17.21 5.26 17.19 5.34 17.17 5.41 17.14 5.49 18 19 18.17 5.56 18. 15 5.63 18. 12 5.71 18.10 5.79 19 20 19.13 5.85 19.10 5.93 19.07 6.01 19.05 6.10 20 21 20.08 6.14 20.06 6.23 20.03 6.31 20.00 6.40 21 22 21.04 6.43 21.01 6.52 20.98 6. 62 20. 95 6.71 22 23 22.00 6.72 21.97 0,82 21.94 6. 92 21.91 7.01 23 24 22.95 7.02 22. 92 7.12 22.89 7.22 22. 86 7.32 24 25 23. 91 7.31 23.88 7.41 23.84 7.52 23.81 7.62 25 36 24.86 7.60 24.83 7.71 24.80 7.82 24. 76 7.93 26 27 25. 82 7.89 25. 79 8.01 25.75 8.12 25.71 8.23 27 28 26. 78 8.19 26.74 8.30 26.70 8.42 26.67 8.54 28 29 27.73 8.48 27.70 8.60 27. 66 8.72 27.62 8.84 29 30 28.69 8.77 28.65 8.90 28.61 9.02 28.57 9.15 30 31 29.65 9.06 29.61 9.19 29.57 9.32 29.52 9.45 31 32 30.60 9.36 30.56 9.49 30.52 9.62 30.48 9.76 32 33 31.56 9.65 31.52 9.79 31.47 9.92 31.43 10.06 33 34 32.51 9.94 32. 47 10.08 32.43 10. 22 32.38 10.37 34 35 33.47 10.23 33.43 10. 38 33. 38 10.52 33.33 10.67 35 36 34.43 10.53 34.38 10. 68 34.33 10.83 34.29 10.98 36 37 35.38 10.82 35. 34 10.97 35. 29 11. 13 35.24 11.28 37 38 36.34 11.11 36.29 11.27 36.24 11.43 36.19 11.58 38 39 37. 30 11.40 37. 25 11.57 37.19 11.73 37.14 11.89 39 40 38.25 11.69 38.20 11.86 38.15 12.03 38.10 12.19 40 41 39.21 11.99 39.16 12.16 39.10 12. 33 39.05 12.50 41 42 40.16 12.28 40.11 12.45 40. 06 12. 63 40.00 12.80 42 43 41.12 12.57 41.07 12.75 41.01 12. 93 40.95 13.11 43 44 42. 08 12.86 42.02 13.05 41.96 13.23 41.91 13.41 44 45 43. 03 13. 16 42.98 13. 34 42.92 13.53 42. 86 13.72 45 46 43.99 13.45 43. 93 13.64 43.87 13.83 43.81 14.02 46 47 44.95 13.74 44.89 13.94 44.82 14.13 44. 76 14.33 47 48 45.90 14.03 45.84 14.23 45.78 14.43 45.71 14. 63 48 49 46. 86 14.33 46.80 14.53 46.73 14. 73 46.67 14.94 49 50 47.82 14.62 47.75 14.83 47.69 15.04 47.62 15.24 50 j Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. | a C3 a 5 73. 72%. 72^. 72^- 5 TABLE 4. TRAVERSE TABLE. . 17. 1714 . Yfff- nil*. 2 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51. 48.77 14.91 48.71 15.12 48.64 15.34 48.57 15.55 51 52 49.73 15. 20 49. 66 15.42 49.59 15. 64 49. 52 15.85 52 53 50.68 15.50 50.62 15.72 50.55 15.94 50.48 16. 16 53 54 51.64 15.79 51.57 16. 01 51.50 16.24 51.43 16.46 54 55 52. 60 16.08 52.53 16.31 52. 45 16.54 52. 38 16.77 55 56 53.55 16.37 53.48 16.61 53.41 16.84 53. 33 17.07 56 57 54.51 16.67 54.44 16.90 54. 36 17.14 54.29 17.38 57 58 55.47 16.96 55. 39 17.20 55.32 17.44 55. 24 17.68 58 59 56. 42 17.25 56.35 17.50 56.27 17.74 56.19 17.99 59 60 57.38 17.54 57.30 17.79 57.22 18.04 57.14 18.29 60 61 58.33 17.83 58.26 18.09 58.18 18.34 58.10 18.60 61 62 59.29 18.13 59.21 18.39 59.13 18.64 59.05 18.90 62 63 60.25 18.42 60.17 18.68 60.08 18.94 60. 00 19.21 63 64 61.20 18.71 61.12 18. 98 61. 04 19.25 60. S5 19.51 64 65 62. 16 19.00 62.08 19. 28 61.99 19.55 61.91 19. 82 65 66 63.12 19. 30 63. 03 19.57 62.95 19.85 62. 86 20.12 66 67 64. 07 19.59 63.99 19. 87 63.90 20.15 63.81 20. 43 67 68 65. 03 19.88 64. 94 20. 16 64.85 20. 45 64. 76 20.73 68 69 65.99 20.17 65. 90 20.46 65.81 20. 75 65. 72 21.04 69 70 66. 94 20.47 66.85 20.76 66.76 21.05 66. 67 21.34 70 71 67.90 20.76 67.81 21.05 67. 71 21.35 67. 62 21.65 71 72 68.85 21.05 68.76 21.35 68.67 21.65 68.57 21.95 72 73 69.81 21.34 69. 72 21.65 69. 62 21.95 69.52 22. 26 73 74 70.77 21. 64 70.67 21.94 70.58 22.25 70.48 22.56 74 75 71.72 21.93 71. 63 22.24 71.53 22. 55 71.43 22. 86 75 76 72.68 22.22 72.58 22.54 72.48 22. 85 72. 38 23. 17 76 77 73. 64 22.51 73.54 22.83 73.44 23. 15 73.33 23.47 77 78 74. 59 22.80 74.49 23. 13 74.39 23.46 74.29 23.78 78 79 75. 55 23.10 75.45 23.43 75.34 23.76 75. 24 24.08 79 80 76.50 23.39 76.40 23.72 76.30 24.06 76.19 24. 39 80 81 77.46 23.68 77.36 24.02 77.25 24.36 77.14 24. 69 81 82 78.42 23.97 78. 31 24.32 78.20 24.66 78.10 25.00 82 83 79. 37 24.27 79.27 24.61 79.16 24.96 79.05 25.30 83 84 80. 33 24. 56 80.22 24.91 80.11 25.26 80.00 25. 61 84 85 81.29 24.85 81.18 25.21 81.07 25. 56 80.95 25.91 85 86 82.24 25.14 82.13 25.50 82.02 25.86 81.91 26.22 86 87 83.20 25. 44 83.09 25.80 82.97 26. 16 82. 86 26. 52 87 88 84. 15 25. 73 84.04 26.10 83. 93 26.46 83.81 26.83 88 89 85.11 26.02 85.00 26.39 84.88 26. 76 84.76 27.13 89 90 86.07 26.31 85.95 26.69 85.83 27.06 85.72 27.44 90 91 87.02 26. 61 86.91 26. 99 86.79 27.36 86. 67 27.74 91 92 87.98 26.90 87.86 27.28 87.74 27. 66 87. 62 28.05 92 93 88.94 27.19 88.82 27. 58 88.70 27.97 88. 57 28.35 93 94 89. 89 27.48 89.77 27.87 89.65 28.27 89.53 28. 66 94 95 90. 85 27.78 90. 73 28.17 90.60 28.57 90.48 28.96 95 96 91.81 28.07 91.68 28.47 91.56 28.87 91.43 29.27 96 97 92. 76 28. 36 92. 64 28. 76 92.51 29.17 92. 38 29. 57 97 98 93.72 28. 65 93. 59 29.06 93. 46 29.47 93.33 29.88 98 99 94.67 28.94 94. 55 29.36 94.42 29.77 94.29 30.18 99 100 95.63 29.24 95.50 29. 65 95.37 30.07 95.24 30.49 100 ~T Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 i p 73. 72*1. 72^. 72M. .3 ft 43 TABLE 4. -TRAVERSE TABLE. -' 18. INT- w Ml'. g I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P 1 1 0.95 0.31 0.95 0.31 0.95 0.32 0.95 0.32 1 2 1.90 0.62 1.90 0.63 1.90 0.63 1.89 0.64 2 3 2.85 0.93 2.85 0.94 2.84 0.95 2.84 0.% 3 4 3.80 1.24 3.80 1.25 3.79 1.27 3.79 1.29 4 5 4.76 1.55 4.75 1.57 4.74 1.59 4.73 1.61 5 6 5.71 1.85 5.70 1.88 5.69 1.90 5.68 1.93 6 7 6. 66 2.16 6.65 2.19 6.64 2.22 6.63 2.25 7 8 7.61 2.47 7.60 2.51 7.59 2.54 7.58 2.57 8 9 8.56 2.78 8.55 2.82 8.53 2.86 8.52 2.89 9 10 9.51 3.09 9.50 3.13 9.48 3.17 9.47 3.21 10 11 10.46 3.40 10.45 3.44 10.43 3.49 10.42 3.54 11 12 11.41 3.71 11.40 3.76 11.38 3.81 11.36 3.86 12 13 12.36 4.02 12.35 4.07 12.33 4.12 12.31 4.18 13 14 13.31 4.33 13. 30 4.38 13.28 4.44 13. 26 4.50 14 15 14.27 4.64 14.25 4.70 14.22 4. 70 14. 20 4.82 15 16 15. 22 4.94 15.20 5.01 15.17 5.08 15.15 5.14 16 17 16.17 5.25 16.14 5.32 16.12 5.39 16.10 5.46 17 18 17.12 5.56 17.09 5.64 17.07 5.71 17.04 5.79 18 19 18.07 5.87 18. 04 5.95 18.02 6.03 17.99 6.11 19 20 19.02 6.18 18.99 6.26 18.97 6.35 18.94 6.43 20 21 19.97 6.49 19.94 6.58 19.91 6.66 19.89 6.75 21 22 20.92 6.80 20. 89 6.89 20.86 6.98 20.83 7.07 22 23 21.87 7.11 21.84 7.20 21.81 7.30 21.78 7.39 23 24 22. R3 7.42 22.79 7.52 22.76 7.62 22.73 7.71 24 25 23. 78 7.73 23.74 7.83 23.71 7.93 23.67 8.04 25 26 24.73 8.03 24.69 8.14 24.66 8.25 24.62 8.36 26 27 25. (38 8.34 25. 64 8.46 25.60 8.57 25.57 8.68 27 28 26:63 8.65 26.59 8.77 26. 55 8.88 26. 51 9.00 28 29 27.58 8.96 27. 54 9.08 27.50 9.20 27. 46 9.32 29 30 28.53 9.27 28.49 9.39 28.45 9.52 28.41 9.64 30 31 29.48 9.58 29.44 9.71 29.40 9.84 29.35 9.9G 31 32 30.43 9.89 30.39 10.02 30.35 10.15 30.30 10.29 32 33 31.38 10. 20 31.34 10.33 31.29 10.47 31.25 10. 61 33 34 32. 34 10.51 32. 29 10. 65 32. 24 10.79 32. 20 10. 93 34 35 33. 29 10. 82 33.24 10. 96 33.19 11.11 33. 14 11.25 35 36 34.24 11.12 34.19 11.27 34.14 11.42 34. 09 11.57 36 37 35.19 11.43 35.14 11.59 35. 09 11.74 35. 04 11.89 37 38 36. 14 11.74 36.09 11.90 36. 04 12.06 35. 98 12.21 38 39 37.09 12.05 37.04 12.21 36. 98 12.37 36. 93 12.54 39 40 38.04 12.36 37.99 12.53 37.93 12.69 37.88 12.86 40 41 38.99 12.67 38.94 12.84 38.88 13.01 38.82 13.18 41 42 39. 94 12. 98 39.89 13. 15 39. 83 13. 33 39.77 13.50 42 43 40.90 13.29 40.84 13.47 40.78 13.64 40.72 13.82 43 44 41.85 13. 60 41.79 13. 78 41.73 13.96 41.66 14.14 44 45 42.80 13.91 42.74 14.09 42.67 14.28 42. (51 14. 46 45 46 43.75 14.21 43. 69 14.41 43.62 14.60 43. 56 14.79 46 47 44.70 14.52 44. 64 14.72 44.57 14.91 44.51 15.11 47 48 45. Co 14.83 45.59 15.03 45.52 15.23 45.45 15.43 48 49 46.60 15.14 46. 54 15.35 46.47 15.55 46. 40 15.75 49 50 47.55 15.45 47.48 15.60 47.42 15.87 47.35 16.07 50 | Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. ~T | 72". 7W. jjw r GO 5 44 TABLE 4. TRAVERSE TABLE. d 18. 1M. i$ft IS?* . B -' p 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 51 48.50 15.76 48.43 15.97 48. 36 16. 18 48.29 16.39 51 52 49.45 10.07 49.38 16.28 49.31 10. 50 49.24 16.71 52 53 50.41 16.38 50.33 16. 60 50.26 16.82 50. 19 17.04 53 54 , r >] . :((, 16. 09 51.28 16.91 51.21 17.13 51.13 17.30 54 65 52. 31 17. Of) 52. 23 17.22 52.16 17.45 52.08 17.68 55 50 53. 20 17.30 53. 18 17.54 53.11 17.77 53. 03 18. 00 56 57 54.21 17.01 54. 13 17.85 54.05 18.09 53. 98 18.32 57 58 55.10 17.92 55. 08 18.16 55.00 18.40 54.92 18. 04 58 59 50. 11 18. 23 50. 03 18.48 55.95 18.72 55. 87 18. 90 59 00 57.00 18.54 56.98 18.79 56.90 19.04 56. 82 19.29 60 01 58.01 18.85 57. 93 19.10 57. 85 -19.36 57.76 19.61 61 02 58.97 19. 10 58.88 19.42 58.80 19.67 58.71 19.93 62 63 59.92 19.47 59.83 19. 73 59.74 19.99 59. 66 20.25 63 04 00.87 19.78 60. 78 20.04 60. 69 20.31 60.60 20.57 04 0") 01. 82 20. 09 61.73 20.30 61. 64 20.62 61.55 20.89 05 GO 02.77 20.40 62. 08 20. 67 62.59 20.94 62.50 21.22 60 07 03. 72 20. 70 63. 63 20.98 63. 54 21.26 63.44 21.54 67 08 04. 07 21.01 64. 5S 21.30 64. 49 21.58 64.39 21. 80 68 09 05. 02 21.32 65. 53 21.61 65.43 21.89 65.34 22.18 69 70 00.57 21.63 66.48 21.92 66.38 22.21 66.29 22.50 70 71 07.53 21.94 67.43 22.23 67.33 22.53 67.23 22.82 71 72 08.48 22.25 68. 38 22.55 68.28 22.85 68.18 23.14 72 73 09. 43 22. 56 69.33 22. 86 69. 23 23. 16 69. 13 23.47 73 74 70.38 22.87 70.28 23.17 70.18 23.48 70.07 23. 79 74 75 71.33 23. 18 71.23 23. 49 71. 12 23.80 71.02 24.11 75 70 72.28 23.49 72.18 23. 80 72.07 24.12 71.97 24. 43 76 77 73. 23 23. 79 73. 13 24.11 73. 02 24.43 72.91 24.75 77 78 74.18 24. 10 74.08 24.43 73.97 24.75 73.86 25.07 78 79 75.13 24.41 75.03 24.74 74.92 25.07 74.81 25.39 79 80 70.08 24.72 75.98 25.05 75.87 25.38 75.75 25.72 80 81 77.04 25.03 76.93 25.37 76. 81 25.70 76.70 26.04 81 82 77.99 25. 34 77.88 25.68 77. 70 26.02 77.65 20.36 82 83 78.94 25.65 78. 83 25. 99 78.71 26. 34 78.60 26.68 83 84 79.89 25. 90 79.77 26.31 79. 60 26.65 79.54 27.00 84 85 80.84 26.27 80.72 26. 62 80.61 26.97 80.49 27.32 85 80 81.79 26.58 81.67 26.93 81.50 27.29 81.44 27.64 80 87 82.74 26. 88 82. 62 27.25 82.50 27. 61 82.38 27.97 87 88 83. 09 27.19 83.57 27. 56 83. 45 27.92 83. 33 28.29 88 89 84. 04 27. 50 84.52 27.87 84. 40 28.24 84. 28 28. 61 89 90 85.00 27.81 85.47 28.18 85.35 28.56 85.22 28.93 90 91 80. 5o 28.12 86.42 28.50 86.30 28.87 86. 17 29.25 91 92 87. 50 28. 43 87. 37 28.81 87.25 29. 19 87.12 29.57 92 93 88. 45 28.74 88.32 29.12 88.19 29.51 88.06 29.89 93 94 89.40 29.05 89.27 29.44 89.14 29. 83 89.01 30.22 94 95 90.35 29. 30 90. 22 29.75 90.09 30.14 89. 96 30.54 95 90 91.30 29.07 91.17 30. 06 91.04 30. 46 90.91 30. 86 90 97 92.25 29.97 92.12 30. 38 91.99 30.78 91.85 31.18 97 98 93. 20 30. 2S 93. 07 30.69 92.94 31.10 92.80 31.50 98 99 94.15 30.59 94.02 31.00 9.3. 88 31.41 93. 75 31.82 99 100 95.11 30.90 94.97 31.32 94. 83 31.73 94.69 32.14 100 | Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 8 o C3 P a .3 ft 72. w. 71^2. 71M. a TABLE 4. TRAVERSE TABLE. d 19. 19M. 19M. !9?r. o rt- ! S- I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 0.95 0.33 0.94 0.33 0.94 0.33 0.94 0.34 1 2 1.89 0.65 1.89 0.66 1.89 0.07 1.88 0.68 2 3 2.84 0.98 2.83 0.99 2.83 1.00 2.82 1.01 3 4 3.78 1.30 3.78 1.32 3.77 1.34 3.70 1.35 4 5 4.73 1.63 4.72 1.65 4.71 1.67 4.71 1. 69 5 6 5.67 1.95 5.66 1.98 5.66 2.00 5.65 2.03 6 7 6.62 2.28 6.61 2.31 6.60 2.34 6.59 2.37 7 8 7.56 2.60 7.55 2. 04 7.64 2.67 7.53 2.70 8 9 8.51 2.93 8.50 2.97 8.48 3.00 8.47 3.04 9 10 9.46 3.26 9.44 3.30 9.43 3.34 9.41 3.38 10 11 10.40 3.58 10.38 3.63 10.37 3.67 10. 35 3.72 11 12 11.35 3.91 11.33 3.96 11. 31 4.01 11.29 4.06 12 13 12.29 4. 23 12.27 4.29 12.25 4.34 12.24 4.39 13 14 13.24 4.56 13.22 4.62 13. 20 4.67 13.18 4. r,>, 14 15 14.18 4.88 14.16 4.95 14.14 5.01 14.12 5.07 15 1C 15.13 5.21 15.11 5.28 15.08 5.34 15.06 5.41 16 17 16.07 5.53 16. 05 5.60 16.02 5.67 16.00 5.74 17 18 17.02 5.80 16.99 5.93 16.97 6.01 16.94 6.08 IS 19 17. 90 6.19 17.94 6.26 17.91 6.34 17.88 6.42 19 20 18.91 6.51 18.88 6.59 18.85 G.68 18.82 6.76 20 21 19. 80 6.84 19.83 6.92 19.80 7.01 19.76 7.10 21 22 20.80 7.16 20. 77 7.25 20.74 7.34 20.71 7.43 22 23 21.75 7.49 21.71 7.58 21.68 7.68 21.05 7.77 23 24 22.69 7.81 22.66 7.91 22.62 8.01 22.59 8.11 24 25 23.64 8.11 23. 00 8.24 23. 57 8.35 23. 53 8.45 25 26 24.58 8.46 2i. 55 8.57 24.51 8.68 24.47 8.79 20 27 25.53 8.79 25.49 8.90 25. 45 9.01 25.41 9.12 27 28 2(5.47 9.12 26. 43 9.23 20. 39 9.35 20. 35 9. 40 28 29 27.42 9.44 27. 38 9.56 27. 34 9.68 27.29 9.80 29 30 28.37 9.77 28.32 9.89 28.28 10.01 28.24 10.14 30 31 29.31 10.09 29.27 10.22 29.22 10.35 29.18 10.48 31 32 30.20 10.42 30. 21 10. 55 30.10 10.68 30.12 10.81 32 33 31. 20 10.74 31.15 10.88 31.11 11.02 31.00 11.15 33 34 32.15 11.07 32.10 11.21 32. 05 11.35 32.00 11.49 34 35 33.09 11.39 33.04 11.54 32. 99 11.68 32.94 11. 83 35 36 34.04 11. 72 33.99 11.87 33.94 12.02 33.88 12.17 36 37 34.98 12.05 34.93 12.20 34. 88 12.35 34. 82 12.50 37 38 35.93 12.37 35. 88 12.53 35. 82 12.68 35. 70 12.84 38 39 36.88 12. 70 30.82 12.80 36. 76 13.02 36. 71 13.18 39 40 37.82 13.02 37.70 13. 19 37.71 13.35 37.65 13.52 40 41 38.77 13.35 38.71 13.52 38. 65 13.69 38.59 13. 85 41 42 39. 71 13.67 39.65 13. 85 39.59 14.02 39.53 14.19 42 43 40. 06 14.00 40. (SO 11, 18 40.53 14.35 40.47 14.53 43 44 41.60 14.33 41.54 14.51 41.48 14.69 41.41 14.87 44 45 42.55 14.65 42.48 14.81 42.42 15.02 42.35 15.21 45 46 43.49 14.98 43.43 15.17 43.36 15.36 43.29 15.54 40 47 44.44 15.30 44.37 15.50 44.30 15.69 44.24 15.88 47 48 45.38 15.63 45.32 15.83 45. 25 16.02 45.18 10.22 48 49 46.33 15.95 40. 20 16.15 46.19 10.30 46.12 10.56 49 50 47.28 16.28 47.20 16.48 47.13 16.09 47.06 16.90 50 i Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 5 71. 70%. 70H- 70M. 5 46 TABLE 4. TRAVERSE TABLE. o I 19. 19M. 19^. 19M. 1 p Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 48.22 16.60 48.15 16.81 48.07 17.02 48.00 17.23 51 52 49.17 16.93 49.09 17.14 49.02 17.36 48.94 17.57 52 53 50.11 17. 26 50.04 17.47 49.96 17.69 49.88 17.91 53 54 51. 06 17.58 50.98 17.80 50.90 18.03 50.82 18.25 54 55 52.00 17.91 51.92 18.13 51.85 18.36 51.76 18. 59 55 56 52. 95 18.23 52. 87 18. 46 52.79 18.69 52.71 18.92 56 57 53. 89 18.56 53. 81 18.79 53. 73 19.03 53.65 19.26 57 58 54.84 18.88 54. 76 19.12 54.67 19.36 54. 59 19.60 58 59 55. 79 19.21 55.70 19.45 55. 62 19.69 55. 53 19.94 59 GO 56.73 19.53 56.65 19.78 56.56 20.03 56.47 20.28 60 61 57.68 19.86 57.59 20.11 57.50 20.36 57.41 20. 61 61 62 58.62 20.19 58. 53 20. 44 58.44 20.70 58.35 20.95 62 63 59.57 20.51 59.48 20.77 59.39 21. 03 59.29 21.29 63 64 60.51 20.84 60.42 21.10 60.33 21.36 60. 24 21.63 64 65 61.46 21.16 61.37 21.43 61. 27 21.70 61. 18 21.96 65 66 62. 40 21.49 62. 31 21.76 62.21 22.03 62.12 22.30 66 67 63. 35 21.81 63. 25 22. 09 63.16 22.37 63.06 22. 64 67 68 64.30 22.14 64.20 22.42 64.10 22.70 64.00 22.98 68 69 65.24 22.46 65.14 22. 75 65. 04 23. 03 64.94 23.32 69 70 66.19 22.79 66. 09 23.08 65.98 23.37 65.88 23.65 70 71 67.13 23.12 67.03 23.41 66.93 23.70 66.82 23. 99 71 72 68.08 23.44 67.97 23.74 67.87 24. 03 67.76 24. 33 72 73 69.02 23.77 68.92 24.07 68.81 24.37 68. 71 24. 67 73 74 69.97 24.09 69. 86 24.40 69. 76 24.70 69. 65 25.01 74 75 70.91 24.42 70.81 24. 73 70.70 25.04 70. 59 25.34 75 76 71.86 24.74 71.75 25.06 71. 64 25.37 71. 53 25.68 76 77 72.80 25.07 72.69 25. 39 72. 58 25. 70 72. 47 26.02 77 78 73.75 25.39 73. 64 25.72 73.53 26. 04 73.41 26.36 78 79 74.70 25.72 74. 58 26. 05 74.47 26.37 74. 35 26.70 79 80 75.64 26.05 75.53 26.38 75.41 26.70 75.29 27.03 80 81 76.59 26. 37 76.47 26.70 76. 35 27.04 76.24 27.37 81 82 77.53 26.70 77.42 27.03 77. 30 27.37 77.18 27.71 82 83 78.48 27.02 78.36 27. 30 78.24 27.71 78.12 28.05 83 84 79.42 27.35 79.30 27.69 79.18 28.04 79.06 28.39 84 85 80. 37 27.67 80.25 28.02 80.12 28.37 80.00 28.72 85 86 81.31 28.00 81.19 28.35 81.07 28.71 80.94 29.06 86 87 82.26 28. 32 82.14 28.68 82.01 29.04 81.88 29.40 87 88 83. 21 28.65 83.08 29.01 82.95 29.38 82.82 29.74 88 89 84.15 28.98 84.02 29.34 83.90 29.71 83.76 30.07 89 90 85.10 29.30 84.97 29.67 84.84 30.04 84.71 30.41 90 91 86.04 29.63 85.91 30.00 85.78 30. 38 85. 65 30.75 91 92 86. 99 29.95 86.86 30. 33 86.72 30.71 86.59 31.09 92 93 87.93 30.28 87.80 30. 66 87.67 31.04 87.53 31.43 93 94 88.88 30.60 88.74 30.99 88.61 31.38 88.47 31.76 94 95 89.82 30. 93 89.69 31.32 89.55 31.71 89.41 32.10 95 96 90.77 31.25 90.63 31. 65 90.49 32.05 90. 35 32.44 90 97 91.72 31.58 91.58 31.98 91.44 32. 38 91.29 32.78 97 98 92.66 31.91 92.52 32.31 92.38 32.71 92.24 33.12 98 99 93.61 32. 23 93.46 32.64 93.32 33. 05 93.18 33. 45 99 100 94.55 32.56 94.41 32.97 94.26 33.38 94.12 33.79 100 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. I cJ s 71. 70%. 70H. 70M- I Q 47 TABLE 4. -TRAVERSE TABLE. H 20. 20M". 20M. 20-K. b 1 Lat. Dep. Lat. Dep. Lat." Dep. Lat. Dep. I 1 0.94 0.34 0.94 0.35 0.94 0.35 0. 91 0.35 i 2 1.88 0. 68 1.88 0.09 1.87 0.70 1.87 0.71 2 3 2.82 1.03 2.81 1.04 2.81 1.05 2.81 1.06 3 4 3.76 1.37 3.75 1.38 3.75 1.40 a. 5 1 1.42 4 5 4.70 1.71 4.69 1.73 4.68 1.75 4. C,8 1.77 5 6 5.64 2.05 5.63 2.08 5.62 2.10 5. (;i 2.13 6 7 6.58 2.39 6.57 2.42 6.56 2.45 6.55 2.48 7 8 7.52 2.74 7.51 2.77 7.49 2.80 7.48 2.83 8 9 8.46 3.08 8.44 3.12 8.43 3.15 8.42 3.19 9 10 9.40 3.42 9.38 3.46 9.37 3.50 9.35 3.54 10 11 10.34 3.76 10.32 3.81 10.30 3.85 10.29 3.90 11 12 11.28 4.10 11.26 4.15 11.24 4.20 11.22 4.25 12 13 12.22 4.45 12.20 4.50 12.18 4.55 12.16 4.61 13 14 13.16 4.79 13.13 4.85 13.11 4.90 13.09 4.96 14 15 14.10 5.13 14.07 5.19 14.05 5.25 14.03 5.31 15 16 15.04 5.47 15.01 5.54 14.99 5.60 14.96 5. 67 16 17 15.97 5.81 15.95 5.88 15.92 5.95 15.90 6.02 17 18 16.91 6.16 16.89 6.23 16.86 6.30 16.83 6.38 18 19 17.85 6.50 17.83 6.58 17.80 6.C5 17.77 6.73 19 20 18.79 6.84 18.76 6.92 18.73 7.00 18.70 7.09 20 21 19.73 7.18 19.70 7.27 19.67 7 35 19.64 7.44 21 22 20.67 7.52 20. C4 7.61 20. 61 7.70 20.57 7.79 22 23 21. 61 7.87 21.58 7.96 21.54 8.05 21.51 8.15 23 24 22.55 8.21 22.52 8.31 22. 48 8.40 22.44 8.50 24 25 23. 49 8.55 23. 45 8.65 23.42 8.76 23.38 8.86 25 26 24.43 8.89 24.39 9.00 24. 35 9.11 24.31 9.21 26 27 25.37 9.23 25.33 9. 35 25. 29 9.46 25.25 9.57 27 28 26.31 9.58 26.27 9.C9 26.23 9.81 26.18 9.92 28 29 27.25 9.92 27.21 10.04 27.16 10.16 27.12 10.27 29 30 28.19 10.26 28.15 10.38 28.10 10.51 28.05 10.63 30 31 29.13 10.60 29.08 10. 73 29.04 10.86 28.99 10.98 31 32 30.07 10.94 30.02 11.08 29.97 11.21 29. 92 11.34 32 33 31.01 11.29 30.96 11.42 30. 91 11.56 30. 86 ll.f.9 33 34 31.95 11. 63 31.90 11.77 31.85 11.91 31.79 12.05 34 35 32.89 11.97 32.84 12.11 32.78 12.26 32. 73 12.40 35 36 33.83 12.31 33.77 12. 46 33.72 12.61 33.66 12.75 36 37 34.77 12.65 34.71 12.81 34. C6 12.96 34. GO 13.11 37 38 35.71 13.00 35.G5 13. 15 35.59 13. 31 35. 54 13. 46 38 39 36.65 13. 34 36. 59 13. 50 36. 53 13.66 36. 47 13.82 39 40 37.59 13.68 37.53 13.84 37.47 14.01 37.41 14.17 40 41 38.53 14.02 38.47 14.19 38.40 14. 36 38.34 14.53 41 42 39.47 14. 36 39.40 14.54 39.34 14.71 39. 28 14.88 42 43 40.41 14.71 40.34 14.88 40.28 15. 06 40.21 15.23 43 44 41.35 15.05 41.28 15.23 41.21 15.41 41.15 15. 59 44 45 42.29 15.39 42. 22 15.58 42. 15 15.76 42.08 15.94 45 46 43. 23 15.73 43. 16 15.92 43. 09 16.11 43. 02 16.30 46 47 44.17 16.07 44.09 16.27 44.02 16. 46 43. 95 16. 65 47 48 45.11 16.42 45. 03 16.61 44.96 10. 81 44.89 17.01 48 49 46.04 16.76 45.97 16.96 45.90 17. 16 45. 82 17.36 49 50 46.98 17.10 46.91 17.31 46. 83 17.51 46.76 17.71 50 c3 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. I 1 fi 70. 69%. 69H- 6934. p TABLE 4. -TRAVERSE TABLE. 1 m 20. W. *K* 20%. I a 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. i 51 47.92 17.44 47. 85 17.65 47. 77 17.86 47.69 18.07 51 52 48. 86 17. 79 48.79 18.00 48.71 18.21 48.63 18.42 52 53 49.80 18.13 49. 72 18.34 49. 64 18.56 49.56 18.78 53 54 50.74 18.47 50.66 18.69 50.58 18.91 50.50 19. 13 54 55 51. 68 18.81 51.60 19.04 51.52 19.26 51.43 19.49 55 56 52. 62 19.15 52.54 19. 38 52.45 19. 61 52.37 19.84 56 57 53.56 19.50 53.48 19.73 53.39 19.96 53.30 20.19 57 58 54.50 19. 84 54.42 20. 07 54.33 20.31 54.24 20.55 58 59 55.44 20.18 55. 35 20.42 55.26 20.66 55.17 20.90 59 60 56.38 20.52 56.29 20.77 56.20 21.01 56.11 21.26 60 61 57.32 20. 86 57.23 21.11 57.14 21.36 57.04 21.61 61 62 58.26 21.21 58.17 21.46 58.07 21.71 57.98 21.97 62 63 59.20 21.55 59. 11 21.81 59.01 22.06 58.91 22.32 63 64 60. 14 21.89 60.04 22.15 59. 95 22.41 59.85 22.67 64 65 61.08 22.23 60.38 22.50 60.88 22.76 60.78 23.03 65 66 62.02 22.57 61.92 22. 84 61.82 23.11 61. 72 23.38 66 67 62.96 22.92 62.86 23.19 62.76 23.46 62. 65 23.74 67 68 63.90 23. 26 63.80 23.54 63.69 23.81 63.59 24.09 68 69 64.84 23.60 64.74 23.88 64.63 24. 16 64. 52 24.45 69 70 65.78 23.94 65.67 24.23 65.57 24.51 65. 46 24.80 70 71 66.72 24.28 66.61 24.57 66.50 24.86 66. 39 25. 15 71 72 67. 66 24.63 67.55 24.92 67.44 25.21 67. 33 25. 51 72 73 68.60 24.97 68.49 25.27 68.38 25.57 68.26 25.86 73 74 69.54 25. 31 69.43 25.61 69. 31 25.92 69.20 26.22 74 75 70.48 25. 65 70.36 25.96 70.25 26.27 70.14 20. 57 75 76 71.42 25.99 71.30 26. 30 71.19 26.62 71.07 20. 93 76 77 72.36 26.34 72.24 26.65 72.12 26.97 72.01 27.28 77 78 73.30 26.68 73.18 27.00 73.06 27.32 72.94 27.63 78 79 74.24 27.02 74.12 27.34 74.00 27. 67 73.88 27.99 79 80 75.18 27.36 75.06 27.69 74.93 28.02 74.81 28.34 80 81 76.12 27.70 75.99 28.04 75.87 28.37 75.75 28.70 81 82 77.05 28.05 76.93 28.38 76.81 28.72 76.68 29.05 82 83 77.99 28.39 77.87 28.73 77.74 29.07 77.62 29.41 83 84 78.93 28. 73 78.81 29.07 78. 68 29.42 78.55 29.76 84 85 79.87 29.07 79.75 29. 42 79.62 29.77 79.49 30.11 85 86 80 81 29.41 80.68 29.77 80.55 30.12 80.42 30.47 86 87 81.75 29.76 81.62 30.11 81.49 30.47 81.36 30. 82 87 88 82. 69 30.10 82.56 30. 46 82.43 30.82 82. 29 31.18 88 89 83.63 30. 44 83.50 30.80 83.36 31.17 83.23 31.53 89 90 84.57 30.78 84.44 31.15 84.30 31.52 84. 10 31.89 90 91 85.51 31.12 85.38 31.50 85.24 31.87 85.10 32.24 91 92 86.45 31.47 86.31 31.84 86.17 32.22 86.03 32. 59 92 93 87.39 31.81 87.25 32.19 87.11 32.57 86. 97 32.95 93 94 88. 33 32.15 88.19 32.54 88.05 32.92 87.90 33.30 94 95 89.27 32.49 89.13 32.88 88.08 33. 27 88.84 33. 66 95 96 90.21 32.83 90.07 33. 23 89. 92 33. 62 89.77 34.01 96 97 91.15 33.18 91.00 33.57 90. 86 33. 97 90. 71 34.37 97 98 92.09 33.52 91.94 33. 92 91.79 34.32 91.64 34. 72 98 99 93.03 33.86 92.88 34.27 92. 73 34.67 92.58 35.07 99 ICO 93.97 34.20 93.82 34.61 93.67 35.02 93.51 35.43 100 | Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 5 70. * 69^. tf*r I 4147910- 49 TABLE 4. TRAVERSE TABLE. 1 21. w. a* 2134. B I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 1 0.93 0.36 0.93 0.36 0.93 0.37 0.93 0.37 1 2 1.87 0.72 1.86 0.72 1.86 0.73 1.86 0.74 2 3 2.80 1.08 2.80 1.09 2.79 1.10 2.79 1.11 3 4 3.73 1.43 3.73 1.45 3.72 1.47 3.72 1.48 4 5 4.67 1.79 4.66 1.81 4.65 1.83 4.64 1.85 5 6 5.60 2.15 5.59 2.17 5.58 2.20 5.57 2.22 6 7 6.54 2.51 6.52 2.54 6.51 2.57 6.50 2.59 7 8 7.47 2.87 7.46 2.90 7.44 2.93 7.43 2.96 8 9 8.40 3.23 8.39 3.26 8.37 3.30 8.36 3. 34 9 10 9.34 3.58 9.32 3.62 9.30 3.67 9.29 3.71 10 11 10.27 3.94 10.25 3.99 10.23 4.03 10.52 4.08 11 12 11.20 4.30 11.18 4.35 11.17 4.40 11.15 4.45 12 13 12.14 4.66 12.12 4.71 12.10 4.76 12.07 4.82 13 14 13.07 5.02 13.05 5.07 13.03 5.13 13.00 5.19 14 15 14.00 5.38 13.98 5.44 13.96 5.50 13.93 5.56 15 16 14.94 5.73 14.91 5.80 14.89 5.86 14.86 5.93 16 17 15.87 6.09 15.84 6.16 15.82 6.23 15.79 6.30 17 18 16.80 6.45 16.78 6.52 16.75 6.60 16. 72 6.67 18 19 17.74 6.81 17.71 6.89 17.68 6.96 17.65 7.04 19 20 18.67 7.17 18.64 7.25 18.61 7.33 18.58 7.41 20 21 19. 61 7.53 19.57 7.61 19.54 7.70 19.51 7.78 21 22 20.54 7.88 20.50 7.97 20.47 8.06 20.43 8.15 22 23 21.47 8.24 21. 44 8.34 21.40 8.43 21.36 8.52 23 24 22.41 8.60 22.37 8.70 22.33 8.80 22.29 8.89 24 25 23.34 8.96 23.30 9.06 23.26 9.16 23.22 9.26 25 26 24. 27 9.32 24.23 9.42 24.19 9.53 24.15 9.63 26 27 25.21 9.68 25.16 9.79 25.12 9.90 25.08 10.01 27 28 26.14 10.03 26.10 10.15 26. 05 10.26 26.01 10.38 28 29 27.07 10.39 27.03 10.51 26.98 10. 63 26.94 10.75 29 30 28.01 10.75 27.96 10.87 27.91 11.00 27.86 11.12 30 31 28.94 11.11 28.89 11.24 28.84 11.36 28.79 11.49 31 32 29.87 11.47 29.82 11.60 29.77 11.73 29.72 11. 86 32 33 30.81 11.83 30.76 11.96 30.70 12.09 30. 65 12. 23 33 34 31.74 12.18 31.69 12.32 31.63 12.46 31.58 12.60 34 35 32.68 12.54 32.62 12.69 32.56 12.83 32.51 12. 9 / 35 36 33.61 12.90 33.55 13.05 33.50 13.19 33.44 13.34 36 37 34.54 13.26 34.48 13.41 34.43 13.56 34.37 13.71 37 38 35.48 13.62 35.42 13.77 35.36 13.93 35.29 14.08 38 39 36. 41 13.98 36.35 14.14 36.29 14.29 36.22 14.45 39 40 37.34 14.33 37.28 14.50 37.22 14.66 37. 15 14.82 40 41 38.28 14.69 38.21 14.86 38.15 15. 03 38.08 15.19 41 42 39.21 15.05 39.14 15. 22 39.08 15.39 39.01 15.56 42 43 40.14 15.41 40.08 15.58 40.01 15.76 39.94 15.93 43 44 41.08 15.77 41.01 15.95 40.94 16.13 40.87 16.30 44 45 42.01 16.13 41.94 16.31 41.87 16.49 41.80 16.68 45 46 42.94 16.48 42.87 16.67 42.80 16.86 42.73 17.05 46 47 43.88 16.84 43.80 17.03 43.73 17.23 43.65 17.42 47 48 44.81 17.20 44.74 17.40 44.66 17.59 44.58 17.79 48 49 45.75 17.56 45.67 17.76 45.59 17.96 45.51 18.16 49 50 46.68 17.92 46.60 18.12 46.52 18.33 46.44 18.53 50 | Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. a 03 ^^> 22 S 69. 68%. 68^. 68M. p 50 TABLE 4. TRAVERSE TABLE, g 21. *-. 2W. 21M. a i rt fl P C3 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 51 47.61 18.28 47.53 18.48 47.45 18.69 47.37 18.90 51 52 48.55 18.64 48. 40 18. 85 48. 38 19. 06 48.30 19.27 52 53 49.48 18.99 49. 40 19.21 49.31 19.42 49.23 19.64 53 54 50.41 19.35 50. 33 19.57 50.24 19. 79 50. 10 20.01 54 55 51.35 19.71 51.20 19. 93 51.17 20. 16 51.08 20. 38 55 56 52.28 20. 07 52.19 20. 30 52. 10 20. 52 52.01 20. 75 56 57 63. 21 20.43 53.12 20.06 53. 03 20. 89 52.94 21.12 57 58 54.15 20.79 54.00 21.02 53.96 21.26 53.87 21.49 58 59 55. 08 21.14 54.99 . 21.38 54.89 21.62 54.80 21. 86 59 60 50.01 21.50 55.92 21.75 55.83 21.99 55.73 22.23 60 01 50.95 21.86 50. 85 22.11 56.76 22. 36 56.60 22.60 61 OB 57.88 22 22 57.78 22.47 57.09 22.72 57.59 22.97 62 03 58.82 22! 58 58.72 22.83 58.02 23. 09 58.52 23.35 63 04 59.75 22.94 59.05 23.20 59. 55 23. 46 59.44 23.72 64 G5 GO. 08 23.29 00.58 23. 50 60.48 23. 82 00.37 24.09 65 G6 61.62 23. 65 61.51 23. 92 61.41 24.19 61.30 24.46 66 07 62. 55 24.01 62.44 24. 28 62.34 24. 50 62. 23 24.83 67 08 63.48 24.37 63.38 24. 05 63.27 24.92 63.16 25.20 68 09 04. 42 24. 73 64.31 25.01 64.20 25.29 64.09 25.57 69 70 65.35 25.09 65.24 25.37 65.13 25.60 65.02 25.94 70 71 66.28 25.44 66. 17 25.73 66.06 20.02 65.95 26.31 71 72 67. 22 25. 80 67.10 26.10 60.99 26.39 66.87 26.08 72 73 68. 15 26. 10 68.04 26.46 67. 92 26.75 67.80 27.05 73 74 69. 08 26.52 68. 97 26.82 68.85 27.12 68.73 27.42 74 75 70.02 20.88 69.90 27.18 69.78 27.49 69. CO 27.79 75 70 70.95 27.24 70.83 27.55 70.71 27.85 70.59 28.16 76 77 71.89 27.59 71.76 27.91 71.64 28.22 71.52 28.53 77 78 72.82 27.95 72.70 28.27 72.57 28.59 72.45 28.90 78 79 73.75 28.31 73.63 28.63 73.50 28.95 73.38 29.27 79 80 74.69 28.67 74.56 29.00 74.43 29. 32 74.30 29.64 80 81 75. 02 29.03 75.49 29.36 75.36 29.69 75.23 30.02 81 82 70.55 29. 39 76.42 29.72 76.29 30. 05 70.10 30.39 82 83 77.49 29.74 77.36 30.08 77.22 30. 42 77.09 30.76 83 84 78.42 30.10 78.29 30.44 78.16 30.79 78.02 31.13 84 85 79.35 30. 46 79.22 30.81 79.09 31.15 78. 95 31.50 85 86 80.29 30.82 80.15 31. 17 80.02 31.52 79.88 31.87 86 87 81.22 31.18 81.08 31.53 80.95 31.89 80.81 32. 24 87 88 82.10 31.54 82.02 31.89 81.88 32.25 81.74 32.61 88 89 83.09 31.89 82.95 32.26 82.81 32.62 82.66 32.98 89 90 84.02 32.25 83.88 32.62 83.74 32.99 83.59 33.35 90 91 84.96 32.61 84.81 32.98 84.67 33.35 84.52 33. 72 91 92 85.89 32.97 85.74 33.34 85.60 33.72 85.45 34.09 92 93 86.82 33. 33 86.68 33.71 86.53 34.08 86.38 34.46 93 94 87. 76 33.69 87.61 34.07 87.46 34.45 87.31 34.83 94 95 88.69 34.04 88.54 34.43 88.39 34.82 88.24 35.20 95 96 89.62 34.40 89.47 34.79 89.32 35.18 89.17 35.57 96 97 90.56 34.70 90.40 35.16 90.25 35.55 90.09 35.94 97 98 91.49 35.12 91.34 35.52 91.18 35.92 91.02 36.31 98 99 92.42 35.48 92.27 35.88 92.11 36.28 91.95 36.69 99 100 93.36 35.84 93.20 36.24 93.04 36.65 92.88 37.06 100 j Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 9 P 3 fl I s 69. 68%. ff 68^. 5 51 TABLE 4. -TRAVERSE TABLE. 2 22 2'>i/ 2. s;, 17 18 16.57 7.03 16. 54 7.11 16. 51 7. i^ 1 (>. 48 7.25 18 19 17. 49 7.42 17.46 7.50 17.42 7. o,s 17.39 7.65 19 20 18.41 7.81 18.38 7.89 18.34 7.97 18.31 8.05 20 21 19. 33 8.21 19.29 8.29 19.26 8.37 19.22 8.46 21 22 20.25 8.60 20.21 8.68 20.18 8.77 20.14 8.86 22 23 21.17 8.99 21.13 9.08 21.09 9.17 21.05 9.26 23 24 22. 09 9.38 22. 05 9.47 22.01 9.57 21.97 9.67 24 25 23. 01 9.77 22.97 9.87 22. 93 9.97 22. 88 10.07 25 26 23.93 10. 16 23. 89 10. 26 23.84 10.37 23.80 10.47 26 27 24. 85 10. 55 24.81 10. 66 24. 76 10.77 24.71 10.87 27 28 25.77 10. 94 25. 73 11.05 25. 68 11.16 25.63 11.28 28 29 26. 69 11.33 26.64 11.45 26. 59 11.56 26. 54 11.68 29 30 27.62 11.72 27.56 11.84 27.51 11.96 27.46 12.08 30 31 28.54 12.11 28.48 12.24 28.43 12.36 28.37 12.49 31 32 29. 46 12.50 29.40 12. 63 29. 35 12. 76 29.29 12.89 32 33 30. 38 12.89 30. 32 13. 03 30.26 13. 16 30. 21 13.29 33 34 31.30 13. 28 31.24 13.42 31. IS 13.56 31.12 13. 69 34 35 32. 22 13. 68 32. 16 13.82 32. 10 13. 96 32. 04 14.10 35 36 33.14 14. 07 33.08 14.21 33.01 14 35 32. 95 14.50 36 37 34. OG 14. 46 34. 00 14. 61 33. 93 14.75 33. 87 14.90 37 38 34.98 14.85 34.91 15.00 34. 85 15.15 34. 78 15.30 38 39 35. 90 15.24 35. 83 15.40 35.77 15. 55 35.70 15.71 39 40 36.82 15. (8 36.75 15.79 36. 68 15.95 36. 61 16.11 40 41 37.74 16.02 37. 67 16.18 37. 60 16. 35 37.53 16. 51 41 42 38. 66 16.41 38. 59 16. 58 38. 52 16. 7f. 38. 44 1C>. 92 42 43 39. 58 1C.. 80 39. 51 16.97 39.43 17.15 39. 36 17.32 43 44 40. 50 17.19 40. 43 17.37 40.35 17.54 40.27 17.72 44 45 41.42 17. 58 41. 35 17. 76 41.27 17. 94 41. 19 18.12 45 46 42. 34 17.07 42. 26 18. 16 42.18 18.34 4-2.10 18.53 46 47 43. 26 18. 36 43.18 18.55 43.10 18.74 43. 02 18.93 47 48 44.18 18.76 44.10 18.95 44.02 19.14 43. 93 19.33 48 49 45. 10 19.15 45.02 19. 34 44.94 19. 54 44.85 19. 73 49 50 46. 03 19. 54 45. 94 19.74 45.85 19. 94 45.77 20.14 50 g Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i a CS a p 67. 66^. 66^- 66M. 1 54 TABLE 4. TRAVERSE TABLE. b * 23. 23JT. 23 1 A. 23%. g S" 1 Lat. Dep. Lat. Dep. Lat. Dep. : Lat. Dep. 51 46. 95 19.93 46.86 20.13 46. 77 20.34 46.68 20.54 51 52 47.87 20.32 47.78 20.53 47.69 20.73 47.60 20. 94 52 ra 48.79 20.71 48.70 20.92 48. 60 21.13 48.51 21.35 53 54 49.71 21.10 49.61 21.32 49.52 21.53 49.43 21.75 54 55 50.63 21.49 50. 53 21.71 50.44 21.93 50.34 22. 15 55 56 51.55 21.88 51.45 22.11 51.36 22. 33 51.26 22. 55 56 57 52.47 22.27 52.37 22.50 52.27 22.73 52.17 22. 96 57 58 53.39 22. 66 53.29 22.90 53.19 23.13 53. 09 23. 36 58 59 54.31 23.05 54.21 23.29 54.11 23.53 54.00 23.76 59 GO 55.23 23.44 55.13 23.68 55.02 23.92 54.92 24.16 00 61 56.15 23.83 56.05 24.08 55.94 24.32 55.83 24.57 61 57.07 24.23 56.97 24.47 56.86 24.72 56.75 24.97 62 03 57.99 24. 62 57.88 24.87 57.77 25.12 57. 66 25.37 03 04 58.91 25.01 58.80 25. 26 5S. 69 25.52 58.58 25.78 04 05 59.83 25.40 59.72 25. 66 59.61 25.92 59.50 26.18 05 66 60.75 25.79 60.64 26. 05 60.53 26.32 60.41 26. 58 66 07 01.67 26. 18 61.56 26. 45 61.44 26. 72 61.33 26.98 67 68 62. 59 26.57 62.48 26. 84 62. 36 27.11 62.24 27.39 68 69 63. 51 26.96 63.40 27.24 63. 28 27.51 63.10 27.79 69 70 64. 44 27.35 64.32 27. 63 64.19 27.91 64.07 28.19 70 71 65.36 27.74 55.23 28.03 65.11 28.31 64. 99 28. 60 71 72 66. 28 28. 13 66. 15 28.42 66.03 28.71 05.90 29.00 72 73 67.20 28. 52 67.07 28. 82 66.95 29.11 66.82 29.40 73 74 08.12 28. 91 67.99 29.21 67.86 29.51 67. 73 29.80 74 75 69. 04 29.30 68. 91 29. 61 68.78 29.91 68. 65 30.21 75 76 69. 96 29. 70 69.83 30.00 69. 70 30. 30 69. 56 30. 61 76 77 70. 88 30.09 70.75 30.40 70.61 30.70 70. 48 31.01 77 78 71.80 30. 48 71.67 30.79 71.53 31.10 71.39 31.41 78 79 72.72 30.87 72.58 31.18 72.45 31.50 72.31 31.82 79 80 73. 64 31.26 73.50 31.58 73.36 31.90 73. 22 32.22 80 81 74.56 31.65 74.42 31.97 74.28 32. 30 74.14 32.62 81 82 75.48 32.04 75. 34 32.37 75.20 32.70 75.06 33.03 82 83 76.40 32.43 76. 26 32.76 76. 12 33.10 75.97 33.43 83 84 77.32 32.82 77.18 33.16 77.03 33.49 76.89 33.83 84 85 78.24 33.21 78.10 33. 55 77.95 33.89 77.80 34.23 85 86 79.16 33. 60 79.02 33.95 78.87 34.29 78.72 34.64 M 87 80.08 33.99 79. 93 34.34 79.78 34.69 79. 63 35.04 87 88 81.00 34.38 80.85 34.74 80.70 35.09 80.55 35. 44 88 89 81.92 34.78 81.77 35.13 81.62 35.49 81.46 35.84 89 90 82. 85 35.17 82.69 35.53 82.54 35.89 82.38 36.25 90 91 83.77 35. 56 83.61 35.92 83.45 36. 29 83.29 36.65 91 92 84.69 35.95 84.53 36. 32 84.37 36. 68 84.21 37.05 92 93 85. 61 36. 34 85.45 36. 71 85.29 37.08 85.12 37. 46 93 94 86.53 36. 73 86.37 37.11 86.20 37.48 86.0-1 37.86 94 95 87. 45 37.12 87.29 37.50 87.12 37.88 86.95 38. 26 95 96 88.37 37.51 88.20 37.90 88.04 38.28 87.87 38. 66 96 97 89.29 37.90 89.12 38. 29 88. 95 38.68 88.79 39. 07 97 98 90.21 38.29 90.04 38. 6S 89.87 39.08 89.70 39.47 98 99 91.13 38.68 90.96 39.08 90.79 39.48 90.62 39.87 99 100 92.05 39.07 91.88 39.47 91.71 39.87 91.53 40.27 100 i Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. S a 07. 66?r. 66^. V 66M. 5 55 TABLE 4. TRAVERSE TABLE. u 24. we. *>. 24% . g p Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. ^ I 1 0.91 0.41 0.91 0.41 0.91 0.41 0.91 0.42 1 2 1.83 0.81 1.82 0.82 1.82 0.83 1.82 0.84 2 3 2.74 1.22 2.74 1.23 2.73 1.24 2.72 1.26 3 4 3.65 1.63 3.65 1.64 3.64 1.66 3.63 1.67 4 5 4.57 2.03 4.56 2.05 4.55 2.07 4.54 2.09 5 6 5.48 2.44 5.47 2.46 5.46 2.49 5.45 2.51 6 7 6.39 2.85 6.38 2.88 6.37 2.90 6. 36 2.93 7 8 7.31 3.25 7.29 3.29 7.28 3.32 7.27 3.35 8 9 8.22 3.66 8.21 3.70 8.19 3.73 8.17 3.77 9 10 9.14 4.07 9.12 4.11 9.10 4.15 9.08 4.19 10 11 10.05 4.47 10. 03 4.52 10.01 4. 56 9.99 4.61 11 12 10.96 4.88 10.94 4.93 10.92 4. )8 10.90 5.02 12 13 11.88 5. 29 11.85 5.34 11.83 5.39 11.81 5.44 13 14 12. 79 5.69 12.76 5.75 12.74 5.81 12. 71 5.86 14 15 13.70 6.10 13.68 6.16 13. 65 6.22 13.62 6.28 15 16 14.62 6.51 14. 59 ' 6.57 14.56 (i. 64 14. 53 6.70 16 17 15. 53 6.91 15.50 6.98 15.47 7.05 15. 44 7.12 17 18 16.44 7.32 16.41 7.39 16. 38 7.46 16.35 7.54 18 19 17.36 7.73 17.32 7.80 17. 29 7.88 17.25 7.95 19 20 18.27 8.13 18.24 8.21 18.20 8.29 18.16 8.37 20 21 19.18 8.54 19. 15 8.63 19.11 8.71 19.07 8.79 21 22 20.10 8.95 20. 06 9.04 20.02 9.12 19.98 9.21 22 23 21.01 9.35 20.97 9.45 20.93 9.54 20.89 9.63 23 24 21.93 9.76 21.88 9.86 21.84 9.95 21.80 10.05 24 25 22. S4 10.17 22.79 10.27 22.75 10.37 22.70 10.47 25 26 23.75 10.58 23. 71 10. 68 23.66 10.78 23.61 10. 89 26 27 24.67 10.98 24. 62 11.09 24.57 11.20 24.52 11.30 27 28 25.58 11.39 25.53 11.50 25.48 11.61 25.43 11.72 28 29 26.49 11.80 26.44 11.91 26. 39 12.03 26. 34 12. 14 29 30 27.41 12. 20 27.35 12.32 27.30 12.44 27.24 12. 56 30 31 28.32 12.61 28.26 12. 73 28.21 12.86 28. 15 12.98 31 32 29.23 13.02 29.18 13.14 29.12 13.27 29. 06 13. 40 32 33 30.15 13.42 30.09 13.55 30.03 13.68 29.97 13.82 33 34 31.06 13.83 31.00 13. 96 30.94 14.10 30.88 14. 23 34 35 31. 97 14.24 31.91 14.38 31.85 14.51 31. 79 14. 65 35 36 32.89 14. 64 32.82 14.79 32. 76 14.93 32. 69 15.07 36 37 33.80 15.05 33.74 15.20 33. 67 15.34 33.60 15.49 37 38 34.71 15.46 34. 65 15.61 34.58 15.76 34.51 15.91 38 39 35.63 15.86 35. 56 16. 02 35.49 16.17 35.42 16.33 39 40 36.54 16.27 36.47 16.43 36.40 16.59 36.33 16.75 40 41 37.46 16. 68 37. 38 16.84 37.31 17.00 37.23 17.17 41 42 38.37 17.08 38. 29 17.25 38.22 17.42 38.14 17.58 42 43 39.28 17.49 39.21 17. 66 39. 13 17.83 39.05 18.00 43 44 40.20 17.90 40.12 18.07 40.04 18.25 39. 96 18.42 44 45 41.11 18.30 41.03 18.48 40.95 18. 66 40.87 18. 84 45 46 42.02 18.71 41.94 18.89 41.86 19. 08 41.77 19.26 46 47 42.94 19. 12 42. 85 19.30 42.77 19.49 42. 68 19.68 47 48 43.85 19.52 43. 76 19.71 43. 68 19.91 43.59 20.10 48 49 44.76 19.93 44. 68 20. 13 44.59 20.32 44. 50 20.51 49 : 50 45.68 20. 34 45.59 20.54 45.50 20.73 45.41 20.93 60 S Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 i 66. 65%. 65H-. | 65^. 5 5G .-TRAVERSE TABLE. o s 24. iil*. 24^. 24%. d Bf P P Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 8 51 46.59 20.74 46.50 20.95 46.41 21.15 46.32 21.35 51 52 47.50 21.15 47.41 21.36 47.32 21.56 47.22 21.77 52 53 48.42 21.56 48.32 21.77 48.23 21.98 48.13 22.19 53 54 49.33 21.96 49.24 22.18 49.14 22.39 49.04 22.61 54 55 50.25 22.37 50.15 22.59 50.05 22.81 49.95 23. 03 55 56 51.16 22.78 51.06 23.00 50.96 23.22 50. 86 23.44 56 57 52.07 23.18 51.97 23. 41 51.87 23.64 51.76 23. 86 57 58 52.99 23.59 52.88 23.82 52.78 24.05 52.67 24.28 58 59 53. 90 24.00 53.79 24.23 53.69 24.47 53. 58 24.70 59 60 54.81 24.40 54.71 24.64 54.60 24.88 54.49 25.12 60 61 55.73 24.81 55.62 25.05 55.51 25.30 55.40 25.54 61 62 56. 64 25. 22 56. 53 25.46 56. 42 25.71 56. 30 25.96 62 63 57.55 25.62 57.44 25.88 57.33 26.13 57. 21 26.38 63 64 58.47 26.03 58.35 26. 29 58.24 26.54 58.12 26.79 64 65 59. as 26.44 59. 26 26.70 59. 15 26.96 59.03 27.21 G5 66 60.29 26.84 60.18 27.11 60.06 27.37 59.94 27. 63 66 67 61.21 27. 25 61.09 27.52 60. 97 27.78 60.85 28.05 67 68 62.12 27. 66 62.00 27.93 61.88 28.20 61.75 28.47 68 69 63.03 28.06 62.91 28.34 62.79 28. 61 62.66 28.89 69 70 63.95 28.47 63.82 28.75 63.70 29.03 63.57 29.31 70 71 64.86 28.88 64.74 29.16 64.61 29.44 64.48 29.72 71 72 65.78 29. 29 65. 65 29.57 65.52 29.86 65.39 30.14 72 73 66. 69 29. 69 66.56 29. 98 66. 43 30.27 66.29 30.56 73 74 67. 60 30.10 67.47 30. 39 67.34 30.69 67.20 30.98 74 75 68.52 30.51 68/38 30.80 68.25 31.10 68.11 31.40 75 76 69.43 30.91 69.29 31.21 69. 16 31.52 69.02 31.82 76 77 70.34 31.32 70.21 31. 63 70.07 31.93 69.93 32.24 77 78 71.26 31.73 71.12 32.04 70.98 32.35 70.84 32. 66 78 79 72.17 32.13 72.03 32. 45 71.89 32. 76 71.74 33. 07 79 80 73.08 32.54 72.94 32.86 72. 80 33.18 72.65 33.49 80 81 74.00 32.95 73.85 33.27 73.71 33.59 73. 56 33.91 81 82 74.91 33. 35 74. 76 33.68 74.62 34.00 74.47 34.33 82 83 75.82 33. 76 75.68 34.09 75.53 34.42 75.38 34.75 83 84 76.74 34.17 76.59 34.50 76.44 34.83 76.28 35.17 84 85 77.65 34.57 77.50 34.91 77.35 35.25 77.19 35.59 85 86 78.56 34.98 78.41 35.32 78.26 35.66 78.10 36.00 86 87 79.48 35. 39 79.32 35. 73 79.17 36.08 79.01 36. 42 87- 88 80.39 35.79 80.24 36.14 80.08 36.49 79.92 36.84 88 89 81.31 36.20 81.15 36.55 80.99 36. 91 80.82 37.26 89 90 82.22 36.61 82.06 36.96 81.90 37.32 81.73 37.68 90 91 83.13 37.01 82.97 37.38 82.81 37.74 82. 64 38.10 91 92 84.05 37.42 83.88 37.79 83.72 38.15 83.55 38.52 92 93 84. 96 37.83 84.79 38.20 84.63 38.57 84. 46 38.94 93 94 85.87 38.23 85.71 38.61 85.54 38.98 85.37 39.35 94 95 86.79 38. C4 86.62 39.02 86.45 39. 40 86.27 39.77 95 96 87.70 39.05 87.53 39.43 87.36 39.81 87.18 40.19 96 97 88.61 39.45 88.44 39. 84 88.27 40.23 88.09 40. 61 97 98 89.53 39.86 89. 35 40.25 89.18 40.64 89.00 41.03 98 99 90.44 40.27 90.26 40. 66 90.09 41.05 89.91 41.45 99 100 91.35 40.67 91.18 41.07 91.00 41.47 90.81 41.87 100 B Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. I a 5 66. UB*. itif*. 65M- J9 D 57 TABLE 4. TRAVERSE TABLE. o 25. w 25^. 2534. u g 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P 1 1 0.91 0.42 0.90 0.43 0.90 0.43 0.90 0.43 i 2 1.81 0.85 1.81 0.85 1.81 0.86 1.80 0.87 2 3 2.72 1.27 2.71 1.28 2.71 1.29 2.70 1.30 3 4 3.63 1.69 3.62 1.71 3.61 1.72 3.60 1.74 4 5 4.53 2.11 4.52 2.13 4.51 2.15 4.50 2.17 5 6 5.44 2.54 5.43 2.56 5.42 2.58 5.40 2.61 6 7 6.34 2.96 6.33 2.99 6.32 3.01 6.30 3.04 7 8 7.25 3.38 7.24 3.41 7.22 3.44 7.21 3.48 8 9 8.16 3.80 8.14 3.84 8.12 3.87 8.11 3.91 9 10 9.06 4.23 9.04 4.27 9.03 4.31 9.01 4.34 10 11 9.97 4.65 9.95 4.69 9.93 4.74 9.91 4.78 11 12 10.88 5.07 10.85 5.12 10.83 5.17 10.81 5.21 12 13 11.78 5.49 11.76 5.55 11. 73 5.60 11.71 5.65 13 14 12. 69 5.92 12. 66 5.97 12.64 6.03 12.61 6.08 14 15 13.59 6.34 13.57 6.40 13. 54 6.46 13.51 6.52 15 16 14.50 6.76 14.47 6.83 14.44 6.89 14.41 6.95 16 17 15.41 7.18 15.38 7.25 15. 34 7. 32 15.31 7.39 17 18 16.31 7.61 16.28 7.68 16. 25 7.75 16.21 7.82 18 19 17.22 8.03 17.18 8.10 17.15 8.18 17.11 8.25 19 20 18.13 8.45 18.09 8.53 18.05 8.61 18.01 8.69 20 21 19.03 8.87 18.99 8.96 18.95 9.04 18.91 9.12 21 22 19.94 9.30 19.90 9.38 19.86 9.47 19.82 9.56 22 23 20.85 9.72 20.80 9.81 20.76 9.90 20.72 9.99 23 24 21.75 10.14 21.71 10.24 21. 66 10.33 21.62 10.43 24 25 22.66 10. 57 22.61 10.66 22.56 10. 76 22.52 10. 86 25 26 23.56 10.99 23.52 11.09 23.47 11.19 23.42 11.30 26 27 24.47 11.41 24.42 11.52 24.37 11. 62 24. 32 11.73 27 28 25.38 11.83 25.32 11.94 25.27 12.05 25.22 12.16 28 29 26.28 12.26 26.23 12.37 26.17 12.48 26.12 12.60 29 30 27.19 12.68 27.13 12.80 27.08 12.92 27.02 13.03 30 31 28.10 13.10 28.04 13.22 27.98 13. 35 27.92 13.47 31 32 29.00 13.52 28.94 13. 65 28.88 13.78 28.82 13.90 32 33 29.91 13.95 29.85 14.08 29.79 14.21 29.72 14.34 33 34 30.81 14. 37 30.75 14.50 30.69 14.64 30. 62 14.77 34 35 31.72 14.79 31.66 14.93 31.59 15.07 31.52 15.21 35 36 32.63 15.21 32.56 15.36 32. 49 15.50 32. 43 15.64 36 37 33.53 15. 64 33.46 15.78 33. 40 15.93 33.33 16. 07 37 38 34.44 16.06 34.37 16.21 34.30 16. 36 34. 23 16.51 38 39 35. 35 16.48 35.27 16. 64 35. 20 16.79 35.13 16. 94 39 40 36.25 16.90 36.18 17.06 36.10 17.22 36.03 17.38 40 41 37. 16 17.33 37.08 17.49 37.01 17.65 36.93 17.81 41 42 38. 06 17. 75 37. 99 17.92 37. 91 18.08 37. 83 18.25 42 43 38. 97 18.17 38.89 18.34 38.81 18.51 38.73 18. 68 43 44 39.88 18. 00 39.80 18.77 39.71 18.94 39. 03 19.12 44 45 40.78 19.02 40.70 19.20 40. 62 19.37 40.53 19.55 45 46 41. 69 19.44 41.60 19. 62 41.52 19.80 41.43 19.98 46 47 42. 00 19.86 42.51 20.05 42. 42 20. 23 42. 33 20.42 47 48 43.50 20.29 43.41 20.48 43. 32 20. 66 43.23 20.85 48 49 44. 41 20.71 44.32 20.90 44.23 21.10 44.13 21.29 49 50 45.32 21.13 45.22 21.33 45.13 21.53 45.03 21.72 50 i Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 3 & R 65. 64%. 64^. 6-. 5 58 TABLE 4. -TRAVERSE TABLE. 2 25. MT. r. 25%. 2 P Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 46.22 21.55 46.13 21.76 46.03 21.96 45.94 22.16 51 52 47.13 21.98 47.03 22.18 46.93 22. 39 46.84 22.59 52 53 48.03 22.40 47.94 22. 61 47.84 22.82 47.74 23.03 53 54 48.94 22.82 48.84 23.03 48.74 23.25 48.64 23.46 54 55 49.85 23.24 49. 75 23.46 49.64 23.68 49.54 23. 89 55 56 50. 75 23. 67 50. 65 23.89 50.54 24.11 50.44 24.33 56 57 51.66 24.09 51.55 24.31 51.45 24.54 51.34 24. 76 57 58 52.57 24.51 52.46 24.74 52. 35 24.97 52.24 25.20 58 59 53.47 24. 93 53. 36 25.17 53. 25 25. 40 53. 14 25. 63 59 60 54. 38 25. ;;o 54.27 25.59 54.16 25.83 54.04 26.07 60 61 55. 28 25.78 55. 17 26.02 55.06 26.26 54.94 26.50 61 62 56.19 2< }.',>(> 56. 08 26.45 55. 96 26. 69 55.84 26.94 62 63 57.10 26. 62 56. 98 26.87 56. 86 27. 12 56.74 27. 37 63 64 58.00 27.0.3 57. 89 27. 30 57.77 27. 55 57. 64 27.80 64 65 58.91 27.47 58.79 27.73 58.67 27.98 58.55 28.24 65 66 59.82 27.89 59.69 28.15 59.57 28.41 59.45 28. 67 66 67 60. 72 28. 32 60. 60 28.58 60.47 28.84 60. 35 29.11 67 68 61. 63 28.74 61. 50 29.01 61. 38 29.27 61. 25 29.54 68 69 62.54 29. 16 62.41 29.43 62. 28 29.71 62.15 29.98 69 70 63.44 29.58 63.31 29.86 63.18 30.14 63.05 30.41 70 71 64.35 30.01 64. 22 30.29 64. 08 30.57 63.95 30.85 71 72 65.25 30.43 65.12 30.71 64.99 31.00 64.85 31.28 72 73 66. 16 30.85 66. 03 31.14 65.89 31.43 65.75 31.71 73 74 67.07 31.27 66. 93 31.57 66. 79 31. 86 06.65 32.15 74 75 07.97 31.70 67. 83 31. 99 67. 69 32. 29 67.55 32.58 75 76 68. 88 32.12 68.74 32. 42 68.60 32.72 68. 45 33.02 76 77 69.79 32.54 69.64 32.85 69.50 33.15 69.35 33.45 77 78 70.69 32.96 70.55 33.27 70.40 33. 58 70.25 33.89 78 79 71.60 33. 39 71.45 33. 70 71.30 34.01 71. 16 34. 32 79 80 72.50 33.81 72.36 34.13 72.21 34.44 72.06 34.76 80 81 73. 41 34.23 73.26 34.55 73.11 34.87 72.96 35.19 81 82 74. 32 34. 65 74.17 34.98 74.01 35.30 73. 86 35.62 82 83 75. 22 35.08 75.07 35.41 74.91 35.73 74.76 36.06 83 84 76. 13 35.50 75. 97 35. 83 75.82 36. 16 75. 66 36. 49 84 85 77.04 35.92 76.88 36.26 76.72 36.59 76.56 36.93 85 86 77.94 36. 35 77.78 36. 68 77.62 37.02 77.46 37. 36 86 87 78.85 36. 77 78.69 37.11 78.52 37.45 78. 36 37.80 87 88 79.76 37.19 79.59 37. 54 79. 43 37.88 79.26 38.23 88 89 80.66 37. 61 80.50 37. 96 80. 33 38.32 80. 16 38.67 89 90 81.57 38.04 81.40 38.39 81.23 38.75 81.06 39.10 90 91 82.47 38. 46 82.31 38.82 82. 14 39.18 81. 96 39.53 91 92 83. 38 38. 88 83. 21 39.24 83. 04 39. 61 82. 86 39.97 92 93 84.29 39.30 84.11 39. 67 83.94 40.04 83.76 40.40 93 94 85. 19 39.73 85.02 40.10 84. 84 40.47 84.67 40.84 94 95 86.10 40.15 85.92 40.52 85. 75 40.90 85. 57 41.27 95 96 87. 01 40.57 86.83 40. 95 86.65 41.33 86.47 41.71 96 97 87.91 40.99 87. 73 41. 38 87.55 41. 76 87. 37 42. 14 97 98 88. 82 41.42 88.64 41.80 88.45 42.19 88.27 42. 58 98 99 89.72 41.84 89. 54 42.23 89.36 42. 62 89.17 43.01 99 100 90.63 42.26 90.45 42.66 90.26 43.05 90.07 43.44 100 C3 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. o C3 -J B 65. 64%. 64^. 64M*. 59 TABLE 4. TRAVERSE TABLE. 20. 2G&. 26^. 26%. e E? ! 2- S" 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 5 P 1 0.90 0.44 0.90 0.44 0.89 0.45 0.89 0.45 1 2 1.80 0.88 1.79 0.88 1.79 0.89 1.79 0.90 2 3 2.70 1.32 2.69 1.33 2.68 1.34 2.68 1.35 3 4 3.60 1.75 3.59 1.77 3.58 1.78 3.57 1.80 4 5 4.49 2-19 4.48 2.21 4.47 2.23 4.46 2.25 5 8 5.39 2.63 5.38 2.65 5.37 2.68 5.36 2.70 (5 7 6.29 3.07 6.28 3.10 6. 26 3.12 6.25 3.15 7 8 7.19 3.51 7.17 3.54 7.16 3.57 7.14 3. GO 8 9 8.09 3.95 8.07 3.98 8.05 4.02 8.04 4.05 9 10 8.99 4.38 8.97 4.42 8.95 4.46 8.93 4.50 10 11 9.89 4.82 9.87 4.87 9.84 4.91 9.82 4.95 11 12 10.79 5.26 10.76 5.31 10.74 5.35 10.72 5.40 12 13 11.68 5.70 11. 66 5.75 11.63 5.80 11.61 5.85 13 14 12. 58 6.14 12.56 6.19 12.53 6.25 12. 50 6.30 14 15 13.48 6.58 13. 45 6. 63 13. 42 6.69 13. 39 6.75 15 16 14.38 7.01 14.35 7.08 14.32 7.14 14.29 7.20 16 17 15.28 7.45 15. 25 7.52 15.21 7.59 15.18 7.65 17 18 16.18 7.89 16.14 7.96 16.11 8.03 16. 07 8.10 18 19 17.08 8.33 17.04 8.40 17.00 8.48 16. 97 8.55 19 20 17. 98 8.77 17.94 8.85 17.90 8.92 17.86 9.00 20 21 18.87 9.21 18.83 9.29 18.79 9.37 18.75 9.45 21 22 19. 77 9.64 19.73 9. 73 19. 69 9.82 19. <;.5 9.90 22 23 20. 67 10.08 20. 63 10.17 20.58 10.26 20.54 10.35 23 24 21.57 10.52 21.52 10.61 21.48 10.71 21.43 10.80 24 25 22.47 10.96 22.42 11.06 22.37 11.15 22.32 11.25 25 26 23.37 11.40 23.32 11.50 23.27 11. GO 23. 22 11.70 26 27 24.27 11.84 24.22 11.94 24. 16 12. 05 24.11 12.15 27 28 25.17 12.27 25.11 12.38 25.06 12.49 25.00 12. 60 28 29 26. 07 12.71 26.01 12.83 25.95 12.94 25.90 13. 05 29 30 26.96 13.15 26.91 13.27 26.85 13.39 26.79 13.50 30 31 27.86 13.59 27.80 13.71 27.74 13. 83 27.68 13.95 31 32 28. 76 14.03 28.70 14.15 28. 64 14.28 28. 58 14.40 32 33 29.66 14.47 29.60 14. 60 29.53 14.72 29.47 14.85 33 34 30. 56 14.90 30.49 15.04 30. 43 15.17 30. 36 15.30 34 35 31. 46 15.34 31. 39 15.48 31.32 15. 62 31.25 15.75 35 36 32. 36 15.78 32.29 15.92 32. 22 16. 06 32.15 16. 20 36 37 33.26 16. 22 33.18 16.36 33.11 16. 51 33. 04 16.65 37 38 34. 15 16. fi(i 34.08 16.81 34.01 16.96 33. 93 17.10 38 39 35.05 17.10 34.98 17.25 34.90 17.40 34.83 17.55 39 40 35.95 17.53 35.87 17. 69 35.80 17.85 35.72 18.00 40 41 36.85 17.97 36. 77 18.13 36.69 18.29 36. 61 18.45 41 42 37.75 18.41 37.67 18.58 37.59 18.74 37.51 18.90 42 43 38. 65 18.85 38.57 19. 02 38.48 19.19 38.40 19.35 43 44 39.55 19.29 39.46 19. 46 39.38 19. 63 39.29 19.80 44 45 40.45 19.73 40.36 19.90 40.27 20.08 40.18 20.25 45 46 41.34 20.17 41. 26 20.35 41.17 20.53 41.08 20.70 46 47 42.24 20.60 42. 15 20.79 42.06 20.97 41.97 21.15 47 48 43.14 21.04 43. 05 21.23 42. 96 21.42 42. 86 21. 60 48 49 44.04 21.48 43.95 21.67 43.85 21.86 43. 76 22. 05 49 50 44.94 21.92 44.84 22.11 44.75 22.31 44.65 22.50 50 aj g Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. g 03 rt t/5 i P. . fe* 63^. 63M- 60 TABLE 4. TRAVERSE TABLE. g 20. MR 26H. 26%. I 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. O 51 45.84 22. 36 45.74 22. 56 45.64 22.76 45.54 22.96 51 52 46.74 22.80 40. 64 23.00 46.54 23. 20 46.43 23. 41 52 53 47. 64 23. 23 47.53 23. 44 47.43 23. 65 47.33 23. 86 53 54 48.53 23. 67 48.43 23.88 48.33 24.09 4S.22 24.31 54 55 49. 43 24.11 49.33 24. 33 49.22 24.54 49.11 24.76 55 56 50.33 24.55 50.22 24.77 50.12 24. !9 .50.01 25.21 50 57 51.23 24. 99 51.12 25.21 51.01 25. 43 50.90 25. 06 57 58 52. 13 25.43 52. 02 25.65 51.91 25.88 51.79 26.11 58 59 53. 03 25. 86 52. 92 2(5. 10 52.80 26. 33 52. 09 26. 56 59 60 53.93 26.30 53.81 26.54 53.70 26. 77 53.58 27.01 60 61 54.83 20. 74 54. 71 26. 98 54.59 27.22 54.47 27.46 61 62 55. 73 27.18 55. 61 27.42 55.49 27.66 55.36 27.91 62 63 f)0. 62 27. 62 56. 50 27. 86 50. 38 28.11 56. 26 28.36 63 64 57.52 28. 06 57.40 28.31 57.28 28.56 57.15 28,81 64 65 58. 42 28.49 58.30 28.75 58.17 29.00 58.04 29. 26 05 60 59. 32 28.93 59.19 29.19 59.07 29.45 58.94 29.71 66 67 60. 22 29. 37 60.09 29. 63 59.96 29.90 59.83 30. 10 67 68 61. 12 29.81 60.99 30. 08 60.86 30.34 60.72 30. 61 68 69 62.02 30.25 61.88 30.52 61.75 30. 79 61.62 31.06 69 70 62. 92 30.69 62.78 30.96 62.65 31.23 62.51 31.51 70 71 63. 81 31.12 63.68 31.40 63.54 31.68 63.40 31.96 71 72 64.71 31.56 64. 57 31.84 64. 44 32.13 64.29 32.41 72 73 65. 61 32. 00 65. 47 32.29 65.33 32. 57 65.19 32.86 73 74 66. 51 32. 44 66. 37 32. 73 66. 23 33. 02 06. 08 33. 31 74 75 67.41 32.88 67. 27 33. 17 67.12 33. 46 66. 97 33.76 75 76 68. 31 33. 32 68. 16 33. 61 68.01 33. 91 67.87 34.21 76 77 69.21 33. 75 69. 06 34. 06 68. 91 34. 36 68. 70 34. 66 77 78 70.11 34.19 69. 96 34.50 69.80 34.80 69. 65 35.]] 78 79 71.00 34. 63 70. 85 34.94 70. 70 35. 25 70.55 35. 56 79 80 71.90 35.07 71.75 35.38 71.59 35.70 71.44 36.01 80 81 72.80 35.51 72. 65 35.83 72.49 36.14 72.33 36. 46 81 82 73.70 35.95 73.54 36. 27 73.38 36. 59 73. 22 36.91 82 83 74. 60 36. 38 74.44 30. 71 74.28 37.03 74. 12 37.36 83 84 75.50 36. 82 75.34 37. 15 75.17 37.48 75.01 37.81 84 85 76. 40 37. 26 76. 23 37. 59 76. 07 37.93 75. 90 38. 26 85 80 77.30 37.70 77.13 38. 04 76.96 38.37 76. 80 38.71 86 87 78.20 38.14 78.03 38.48 77. 86 38.82 77. 69 39. 16 87 88 79.09 38.58 78.92 38.92 78. 75 39.27 78.58 39. 01 88 89 79.99 39.02 79.82 39.36 79.65 39.71 79.48 40. 06 89 90 80.89 39.45 80.72 39.81 80.54 40.16 80.37 40.51 90 91 81.79 39.89 81.62 40.25 81.44 40. 60 81. 26 40.96 91 92 82. 69 40. 33 82.51 40. (59 82. 33 41.05 82. 15 41.41 92 93 83.59 40.77 83.41 41.13 83.23 41.50 83. 05 41. 86 93 94 84.49 41.21 84. 31 41.58 84.12 41.94 83. 94 42.31 94 95 85.39 41.65 85.20 42.02 85.02 42.39 84. 83 42. 76 95 90 86. 28 42.08 86.10 42.48 85.91 42. 83 85. 73 43.21 96 97 87.18 42.52 87.00 42.90 86. 81 43. 28 86.62 43. 06 97 98 88.08 42. 96 87.89 43.34 87.70 43.73 87.51 44.11 98 99 88.98 43.40 88.79 43. 79 88. 60 44.17 88. 40 44.56 99 100 89.88 43.84 89.69 44.23 89.49 44.62 89.30 45.01 100 I Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i a 5 64. C3W. OW-. 2 p 61 TABLE 4. TRAVERSE TABLE. g 27. 27M 271x , 27 3 4. I I 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 1 0.89 0.45 0.89 0.46 0.89 0.46 0.88 0.47 1 2 1.78 0.91 1.78 0.92 1.77 0.92 1.77 0.93 2 3 2.67 1.36 2.67 1.37 2.66 1.39 2.65 1.40 3 4 3.56 1.82 3.56 1.83 3.55 1.85 3.54 1.86 4 5 4.46 2.27 4.45 2.29 4.44 2.31 4.42 2.33 5 6 5.35 2.72 5.33 2.75 5.32 2.77 5.31 2.79 6 7 6.24 3.18 6.22 3.21 6.21 3.23 6.19 3.26 7 8 7.13 3.63 7.11 3.66 7.10 3.69 7.08 3.72 8 9 8.02 4.09 8.00 4.12 7.98 4.16 7.96 4.19 9 10 8.91 4.54 8.89 4.58 8.87 4.62 8.85 4.66 10 11 9.80 4.99 9.78 5.04 9.76 5.08 9.73 5.12 11 12 10. 69 5.45 10. 67 5.49 10.64 5.54 10. 62 5.59 12 13 11.58 5.90 11.56 5.95 11. 53 6.00 11.50 6.05 13 14 12.47 6. 36 12.45 (i. 41 12.42 6.46 12.39 6.52 14 15 13.37 6.81 13. 34 6. 87 13. 31 6. 93 13.27 6.98 15 16 14. 26 7.26 14.22 7.33 14.19 7.39 14.16 7.45 16 17 15.15 7.72 15.11 7.78 15.08 7.85 15. 04 7.92 17 18 16.04 8.17 16.00 8.24 15.97 8.31 15. 93 8.38 18 19 16.93 8.63 16. 89 8.70 16.85 8.77 16. 81 8.85 19 20 17.82 9.08 17.78 9.16 17.74 9.23 17.70 9.31 20 21 18.71 9.53 18. 67 9.62 18.63 9.70 18.58 9.78 21 22 19.60 9.99 19.56 10.07 19.51 10.16 19.47 10.24 22 23 20.49 10.44 20.45 10.53 20.40 10. 62 20.35 10.71 23 24 21. 38 10.90 21.34 10.99 21.29 11.08 21.24 11.17 24 25 22.28 11. 35 22.23 11.45 22. 18 11.54 22.12 11.64 25 26 23.17 11.80 23.11 11.90 23. 08 12.01 23.01 12.11 28 27 24.06 12. 28 24.00 12.36 23.95 12.47 23.89 12.57 27 28 24.95 12.71 24.89 12.82 24.84 12. 93 24.78 13. 04 28 29 25.84 13.17 25.78 13.28 25.72 13.39 25. 66 13.50 29 30 26.73 13.62 26.67 13.74 26.61 13.85 26.55 13.97 30 31 27.62 14.07 27.56 14.19 27.50 14.31 27.43 14. 43 31 32 28. 51 14.53 28.45 14.65 28.38 14.78 28.32 14.90 32 33 29.40 14.98 29. 34 15.11 29.27 15.24 29.20 15. 37 33 34 30. 29 15.44 30.23 15.57 30. 16 15.70 30. 09 15. 83 34 35 31.19 15.89 31.12 16. 03 31.05 10. 16 30.97 16.30 35 36 32.08 16.34 32.00 16.48 31.93 16.62 31. 86 16.76 36 37 32.97 16.80 32.89 16.94 32.82 17.08 32.74 17.23 37 38 33.86 17.25 33.78 17.40 33.71 17.55 33.63 17. 69 38 39 34.75 17.71 34.67 17.86 34.59 18.01 34.51 18.16 39 40 35.64 18.16 35.56 18.31 35.48 18.47 35.40 18.62 40 41 36. 53 18.61 36.45 18.77 36.37 18.93 36.28 19.09 41 42 37.42 19.07 37.34 19.23 37.25 19.39 37.17 19. 56 42 43 38.31 19.52 38. 23 19.69 38.14 19.86 38.05 20.02 43 44 39.20 19.98 39.12 20.15 39.03 20.32 38.94 20.49 44 45 40.10 20.43 40.01 20.60 39.92 20.78 39.82 20.95 45 46 40.99 20.88 40.89 21.06 40.80 21.24 40.71 21.42 46 47 41.88 21.34 41.78 21.52 41.69 21.70 41.59 21.88 47 48 42.77 21.79 42.67 21.98 42.58 22.16 42.48 22. 35 48 49 43.66 22.25 43.56 22.44 43.46 22.63 43.36 22.82 49 50 44.55 22.70 44.45 22.89 44.35 23.09 44.25 23.28 50 I Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 s 63. 62%. 62^. i TABLE 4. TRAVERSE TABLE. o i 27. 27M. 271/3. 27%. B p Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 51 45.44 23. 15 45.34 23.35 45.24 23.55 45.13 23.75 51 52 46. 33 23.61 46.23 23.81 46.12 24.01 46.02 24.21 52 53 47.22 24.06 47.12 24.27 47.01 24.47 46.90 24.68 53 54 48.11 24.52 48.01 24. 73 47.90 24.93 47.79 25.14 54 55 49.01 24.97 48.90 25.18 48.79 25. 40 48.67 25. 61 55 56 49.90 25. 42 49. 78 25.64 49.67 25.86 49.56 26.07 56 57 50. 79 25.88 50.67 26. 10 50.56 26.32 50.44 26. 54 57 58 51.68 26. 33 51.56 26.56 51.45 26.78 51.33 27.01 58 59 52.57 26.79 52. 45 27.01 52. 33 27.24 52.21 27.47 59 60 53.46 27.24 53.34 27.47 53.22 27.70 53.10 27.94 60 61 54.35 27.69 54.23 27.93 54.11 28.17 53.98 28.40 61 62 55.24 28.15 55.12 28.39 54. 99 28.63 54.87 28.87 62 63 56. 13 28.60 58.01 28.85 55.88 29.09 55.75 29.33 63 64 57. 02 29. 06 56.90 29.30 56.77 29. 55 56.64 29.80 64 65 57.92 29. 51 57.79 29.76 57.66 30.01 57.52 30. 26 65 66 58.81 29. 96 58. 68 30. 22 58.54 30.48 58.41 30. 73 66 67 59.70 30. 42 59.56 30.68 59.43 30.94 59.29 31.20 67 68 60.59 30.87 60.45 31. 14 60.32 31.40 60.18 31.66 68 69 61.48 31.33 61.34 31.59 61.20 31.86 61.06 32.13 69 70 62.37 31.78 62.23 32.05 62.09 32.32 61.95 32.59 70 71 63. 26 32.23 63.12 32.51 62.98 32.78 62.83 33. 06 71 72 64.15 32.69 64.01 32.97 63.86 33.25 63.72 33.52 72 73 65.04 33. 14 64.90 33.42 64.75 33.71 64.60 33.99 73 74 65.93 33.60 65.79 33.88 65.64 34.17 65.49 34.46 74 75 06.83 34.05 66.68 34. 34 66.53 34.63 66.37 34.92 75 76 67.72 34. 50 67.57 34. 80 67.41 35. 09 67.26 35.39 76 77 68. 61 34.96 68.45 35.26 68.30 35.55 68.14 35.85 77 78 69.50 35.41 69.34 35.71 69.19 36. 02 69.03 36.32 78 79 70. 39 35.87 70. 23 36.17 70.07 36.48 69.91 36.78 79 80 71.28 36.32 71.12 36.63 70.96 36.94 70.80 37.25 80 81 72.17 36.77 72.01 37.09 71.85 37.40 71.68 37.71 81 82 73.06 37.23 72.90 37. 55 72.73 37.86 72.57 38.18 82 83 73. 95 37.68 73.79 38.00 73.62 38.33 73.45 38. 65 83 84 74.84 38.14 74.68 38.46 74.51 38,79 74.34 39.11 84 85 75.74 38.59 75.57 38.92 75.40 39.25 75.22 39.58 85 86 76. 63 39.04 76.46 39.38 76.28 39.71 76.11 40. 04 86 87 77.52 39.50 77.34 39.84 77.17 40.17 76.99 40.51 87 88 78.41 39.95 78.23 40.29 78.06 40.63 77.88 40.97 88 89 79.30 40.41 79.12 40.75 78.94 41.10 78.76 41.44 89 90 80.19 40.86 80.01 41.21 79.83 41.56 79.65 41.91 90 91 81.08 41.31 80.90 41.67 80.72 42.02 80.53 42.37 91 92 81.97 41.77 81.79 42.12 81.60 42.48 81.42 42.84 92 93 82.86 42.22 82.68 42.58 82.49 42.94 82.30 43.30 93 94 83.75 42.68 83.57 43.04 83.38 43.40 83. 19 43.77 94 95 84.65 43.13 84.46 43. 50 84.27 43.87 84.07 44.23 95 96 85.54 43.58 85.35 43.96 85.15 44.33 84.96 44.70 96 97 86. 43 44.04 86.23 44, 41 86.04 44.79 85.84 45.16 97 98 87.32 44.49 87.12 44.87 86.93 45.25 86.73 45.63 98 99 88.21 44.95 88.01 45. 33 87.81 45.71 87.61 46.10 99 100 89.10 45.40 88.90 45.79 88.70 46.17 88.50 46.56 100 | 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 1 63. 623,. 62^. 62M. ft 63 TABLE 4. TRAVERSE TABLE. o 28. 28M il 2814 2854. | I I I I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 1 0.88 0.47 0.88 0.47 0.88 0.48 0.88 0.48 1 2 1.77 0.94 1.76 0.95 1.76 0.95 1.75 0.% 2 3 2.65 1.41 2.64 1.42 2.64 1.43 2.63 1.44 3 4 3.53 1.88 3.52 1.89 3.52 1.91 3.51 1.92 4 5 4.41 2.35 4.40 2.37 4.39 2.39 4.38 2.40 5 6 5.30 2.82 5.29 2.84 5.27 2.86 5.26 2.89 6 7 6.18 3.29 6.17 3.31 6.15 3.34 6.14 3.37 7 8 7.06 3.76 7.05 3.79 7.03 3.82 7.01 3.85 8 9 7.95 4.23 7.93 4.26 7.91 4.29 7.89 4.33 9 10 8.83 4.69 8.81 4.73 8.79 4.77 8.77 4.81 10 11 9.71 5.16 9.69 5.21 9.67 5.25 9.64 5.29 11 12 10.60 " 5.63 10.57 5.68 10. 55 5.73 10.62 5.77 12 13 11.48 6.10 11.45 6.15 11.42 6.20 11.40 6.25 13 14 12. 36 6.57 12. 33 6. 63 12.30 6.68 12.27 6.73 14 15 13.24 7.04 13.21 7.10 13.18 7.16 13.15 7.21 15 16 14.13 7.51 14.09 7.57 14.06 7.63 14.03 7.70 16 17 15.01 7.98 14.98 8.05 14.94 8.11 14.90 8.18 17 18 15.89 8.45 15.86 8. 52 15. 82 8.59 15.78 8.66 18 19 16.78 8.92 16.74 8.99 16.70 9.07 16.66 9.14 19 20 17. 66 9.39 17.62 9.47 17.58 9.54 17.53 9.62 20 21 18.54 9.86 18.50 9.94 18.46 10.02 18.41 10.10 21 22 19.42 10.33 19. 38 10.41 19.33 10.50 19.29 10.58 22 23 20.31 10.80 20. 26 10.89 20.21 10.97 20.16 11.06 23 24 21.19 11.27 21.14 11.36 21.09 11.45 21.04 11.54 24 25 22.07 11.74 22.02 11.83 21.97 11.93 21.92 12.02 25 26 22.96 12.21 22.90 12.31 22.85 12. 41 22.79 12.51 26 27 23.84 12. 68 23.78 12.78 23.73 12.88 23.67 12.99 27 28 24.72 13.15 24.66 13.25 24.61 13.36 24. 55 13.47 28 29 25.61 13.61 25.55 13.73 25.49 13.84 25.43 13.95 29 30 26.49 14.08 26.43 14.20 26.36 14.31 26.30 14.43 30 31 27.37 14.55 27.31 14.67 27.24 14.79 27.18 14.91 31 32 28.25 15.02 28.19 15.15 28.12 15.27 28.06 15.39 32 33 29.14 15.49 29.07 15.62 29.00 15.75 28.93 15.87 33 34 30.02 15.96 29.95 16.09 29.88 16.22 29.81 16.35 34 35 30. 90 16.43 30.83 16.57 30.76 16.70 30.69 16.83 35 36 31.79 16.90 31.71 17.04 31.64 17.18 31.56 17.32 36 37 32. 67 17.37 32. 59 17.51 32.52 17.65 32.44 17.80 37 38 33.55 17.84 33.47 17.99 33. 40 18.13 33. 32 18.28 38 39 34.43 18.31 34.35 18. 46 34.27 18.61 34.19 18.76 39 40 35.32 18.78 35.24 18.93 35.15 19.09 35.07 19.24 40 41 36.20 19.25 36.12 19.41 36.03 19.56 35.95 19.72 41 42 37.08 19.72 37.00 19.88 36.91 20.04 36.82 20.20 42 43 37.97 20.19 37.88 20.35 37. 79 20. 52 37.70 20.68 43 44 38.85 20.66 38.76 20.83 38.67 20.99 38.58 21.16 44 45 39.73 21.13 39.64 21.30 39.55 21.47 39.45 21.64 45 46 40.62 21.60 40.52 21.77 40.43 21.95 40.33 22.13 46 47 41.50 22.07 41.40 22.25 41.30 22.43 41.21 22.61 47 48 42.38 22.53 42.28 22.72 42.18 22.90 42.08 23.09 48 49 43.26 23.00 43.16 23.19 43.06 23.38 42. 96 23.57 49 50 44.15 23.47 44.04 23.67 43.94 23.86 43.84 24.05 50 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. I 5 62. 61%. wr. 61M. 1 Q 64 TABLE 4. TRAVERSE TABLE, g 28. 28M- 28^. 28%. b I . 12 46.70 85. 92 47.14 98 99 87.41 46.48 87.21 46. 86 87.00 47.24 86.80 47.62 99 100 88.29 46.95 88.09 47.33 87.88 47.72 87.67 48.10 100 i Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 8 1 B 1 a 62. 6i?r. 61J^. 61^. 1 ft 4147910 5 65 TABLE 4. -TRAVERSE TABLE. d 29. *. 29K'. 2934. 1 p 00.' I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 1 0.87 0.48 0.87 0.49 0.87 0.49 0.87 0.50 1 2 1.75 0.97 1.74 0.98 1.74 0.98 1.74 0.99 2 3 2.62 1.45 2.62 1.47 2.61 1.48 2.60 1.49 3 4 3.50 1.94 3.49 1.95 3.48 1.97 3.47 1.98 4 5 4.37 2.42 4.36 2.44 4.35 2.46 4.34 2.48 5 6 5.25 2.91 5.23 2.93 5.22 2.95 5.21 2.98 6 7 6.12 3.39 6.11 3.42 6.09 3.45 6.08 3.47 7 8 7.00 3.88 6.98 3.91 6.96 3.94 6.95 3.97 8 9 7.87 4.36 7.85 4.40 7.83 4.43 7.81 4.47 9 10 8.75 4.85 8.72 4.89 8.70 4.92 8.68 4.96 10 11 9.62 5.33 9.60 5.37 9.57 5.42 9.55 5.46 11 12 10.50 5.82 10.47 5.86 10.44 5.91 10.42 5.95 12 13 11.37 6.30 11.34 6.35 11.31 6.40 11.29 6.45 13 14 12.24 6.79 12.21 6.84 12.18 6.89 12.15 6.95 14 15 13.12 7.27 13.09 7.33 13.06 7.39 13. 02 7.44 15 16 13.99 7.76 13.96 7.82 13.93 7.88 13.89 7.94 16 17 14.87 8.24 14.83 8.31 14.80 8.37 14.76 8.44 17 18 15.74 8.73 15.70 8.80 15.67 8.86 15.63 8.93 18 19 16.62 9.21 16.58 9.28 16.54 9.36 16.50 9.43 19 20 17.49 9.70 17.45 9.77 17.41 9.85 17.36 9.92 20 21 18.37 10.18 18.32 10.26 18.28 10.34 18.23 10.42 21 22 19.24 10.67 19.19 10.75 19.15 10.83 19.10 10.92 22 23 20.12 11.15 20.07 11.24 20. 02 11.33 19.97 11.41 23 24 20.99 11.64 20.94 11.73 20.89 11.82 20.84 11.91 24 25 21.87 12.12 21.81 12.22 21.76 12.31 21.70 12.41 25 26 22.74 12.61 22.68 12.70 22.63 12.80 22.57 12.90 26 27 23.61 13. 09 23.56 13.19 23.50 13.30 23.44 13.40 27 28 24.49 13.57 24. 43 13.68 24.37 13.79 24.31 13. 89 28 29 25.36 14.06 25. 30 14.17 25.24 14.28 25.18 14.39 29 30 26.24 14.54 26.17 14.66 26.11 14.77 26.05 14.89 30 31 27.11 15.03 27.05 15.15 26.98 15.27 26.91 15.38 31 32 27.99 15.51 27.92 15.64 27.85 15.76 27.78 15.88 32 33 28.86 16.00 28.79 16.12 28.72 16.25 28.65 16. 38 33 34 29.74 16.48 29.66 16.61 29.59 16.74 29.52 16. 87 34 35 30.61 16.97 30.54 17.10 30. 46 17.23 30.39 17. 37 35 36 31.49 17. 45 31.41 17.59 31.33 17.73 31.26 17.86 36 37 32.36 17.94 32.28 18.08 32.20 18.22 32.12 18.36 37 38 33. 24 18.42 33. 15 18.57 33.07 18.71 32.99 18. 86 38 39 34.11 18.91 34.03 19.06 33.94 19.20 33.86 19.35 39 40 34.98 19.39 34.90 19.54 34.81 19.70 34.73 19.85 40 41 35.86 19.88 35.77 20.03 35.68 20.19 35.60 20.34 41 42 36.73 20.36 36.64 20.52 36. 55 20.68 36.46 20.84 42 43 37.61 20.85 37.52 21.01 37.43 21.17 37.33 21.34 43 44 38.48 21. 33 38.39 21.50 38.30 21.67 38.20 21.83 44 45 39. 36 21.82 39.26 21.99 39.17 22.16 39.07 22.33 45 46 40.23 22.30 40.13 22.48 40.04 22.65 39.94 22.83 46 47 41.11 22.79 41.01 22.97 40.91 23.14 40.81 23.32 47 48 41.98 23.27 41.88 23.45 41.78 23.64 41. 67 23.82 48 49 42.86 23.76 42.75 23.94 42. 65 24.13 42.54 24.31 49 50 43.73 24.24 43.62 24.43 43.52 24.62 43.41 24.81 50 B Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. I 1 61. 60%- fft w . J2 66 TABLE 4. TRAVERSE TABLE. o 29. 29M- 29^2. 29%. b 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 51 44.61 24.73 44.50 24.92 44.39 25.11 44.28 25. 31 51 52 45. 48 25.21 45.37 25. 41 45.26 25.61 45.15 25.80 52 53 46. 35 25. 69 46.24 25. 90 46.13 26.10 46.01 26.30 53 54 47.23 26. 18 47.11 26.39 47.00 26.59 46.88 26.80 54 55 48.10 215. 66 47.99 26.87 47.87 27.08 47.75 27.29 55 56 48.98 27.15 48.86 27.36 48. 74 27.58 48.62 27.79 56 57 49.85 27.63 49.73 27.85 49. 61 28.07 49. 49 28. 28 57 58 50.73 28.12 50.60 28.34 50.48 28.56 50.36 28.78 58 59 51.60 28. CO 51.48 28. 83 51.35 29.05 51.22 29.28 59 60 52.48 29.09 52.35 29.32 52.22 29.55 52.09 29. 77 60 61 53.35 29.57 53.22 29.81 53.09 30.04 52.96 30.27 61 62 54. 23 30.06 54.09 30.29 53.96 30.53 53.83 30.77 62 63 55.10 30. 54 54.97 30.78 54.83 31.02 54.70 31.26 63 64 55.98 31.03 55.84 31.27 55.70 31.52 55.56 31.76 64 65 56.85 31.51 56.71 31.76 56.57 32. 01 56.43 32. 25 65 66 57.72 32. 00 57.58 32.25 57.44 32.50 57.30 32.75 66 67 58. 60 32.48 58.46 32. 74 58.31 32.99 58.17 33. 25 67 68 59.47 32. 97 59.33 33. 23 59. 18 33.48 59. Oi 33. 74 68 69 60.35 33.45 60.20 33.71 60. 05 33.98 59. 91 34.24 70 61.22 33.94 61.07 34.20 00.92 34.47 60.77 34.74 70 71 62.10 34.42 61.95 34.69 61.80 34.96 61.64 35.23 71 72 62.97 34.91 62. 82 35. 18 62. 67 35.45 62.51 35. 73 72 73 63- 85 35.39 63.69 35.67 63.54 35. 95 63. 38 36. 22 73 74 64.72 35. 88 64.56 36. 16 64. 41 36.44 64.25 36.72 74 75 65. 60 36.36 65. 44 36.65 65.28 36.93 65. 11 37.22 75 76 66.47 3(i. 85 66.31 37.14 66.15 37.42 65.98 37.71 76 77 67.35 37.33 67.18 37. (.2 67.02 37.92 66.85 38.21 77 78 68.22 37.82 68.05 38.11 67.89 38.41 67.72 38.70 78 79 69.09 38.30 68.93 38. CO 68. 76 38.90 68.59 39.20 79 80 69.97 38.78 69.80 39.09 69.63 39.39 69.46 39.70 80 81 70.84 39.27 70.67 39.58 70.50 39.89 70. 32 40.19 81 82 71.72 39.75 71.54 40.07 71.37 40.38 71.19 40.69 82 83 72.59 40.24 72.42 40.56 72. 24 40.87 72. OS') 41.19 83 84 73.47 40.72 73.29 41.01 73.11 41.36 72. 93 41.08 84 85 74.34 41.21 74.16 41.53 73.98 41.86 73.80 42.18 85 86 75.22 41.69 75.03 42. 02 74.85 42.35 74.67 42.67 86 87 76.09 42.18 75.91 42. 51 75.72 42.84 75.53 43.17 87 88 76.97 42. 06 76.78 43.00 76. 59 43.33 76.40 43.67 88 89 77.84 43. 15 77.65 43.49 77.46 43.83 77.27 44.16 89 90 78.72 43.63 78.52 43.98 78.33 44.32 78.14 44.66 90 91 79. 59 44.12 79.40 44.46 79.20 44.81 79.01 45.16 91 92 80. 47 44. 60 80.27 44. 95 80.07 45.30 79.87 45. 65 92 93 81.34 45.09 81.14 45.44 80.94 45. 80 80.74 46.15 93 94 82.21 45.57 82.01 45. 93 81.81 46.29 81. 61 46. 64 94 95 83. 09 46.06 82.89 46.42 82.68 46. 78 82.48 47.14 95 96 83.96 46.54 83.76 46.91 83.55 47.27 83.35 47. 64 96 97 84.84 47.03 84.63 47.40 84.42 47. 77 84.22 48.13 97 98 85.71 47.51 85.50 47.88 85.29 48.26 85.08 48. 63 98 99 86. 59 48.00 86.38 48.37 86.17 48.75 85. 95 49.13 99 100 87.46 48.48 87.25 48.86 87.04 49.24 86.82 49.62 100 8 C3 Dep. Lat. Dep. Lat. Dep. Lot. Dep. Lat. 1 1 61. 60%. 60^. 60M- 5 67 TABLE 4. -TRAVERSE TABLE. b 30. 30J4. 30Ji. 30%. d . 30^. 2 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 44.17 25.50 44.06 25. 69 43.94 25.88 43.83 26.08 51 52 45.03 26.00 44.92 26.20 44.80 26.39 44.69 26. 59 '52 53 45.90 26.50 45.78 26.70 45.67 26.90 45.55 27.10 53 54 46.77 27.00 46.65 27.20 46.53 27.41 46.41 27. 61 54 55 47.63 27. 50 47.51 27.71 47.39 27.91 47.27 28.12 55 56 48.50 28.00 48.37 28.21 48.25 28.42 48.13 28.63 56 57 49.36 28.50 49.24 28.72 49.11 28.93 48.99 29.14 57 58 50.23 29.00 50.10 29. 22 49.97 29.44 49.85 29. 65 58 59 51.10 29. 50 50.97 29.72 50.84 29. 94 50.70 30.17 59 GO 51.96 30.00 51.83 30.23 51.70 30.45 51.56 30.68 60 61 52.83 30. 50 52.69 30.73 52.56 30.96 52.42 31.19 61 62 53.69 31.00 53.56 31. 23 53.42 31.47 53.28 31.70 62 63 54.56 31.50 54.42 31.74 54.28 31.97 54.14 32.21 63 64 55.43 32.00 55.29 32.24 55.14 32.48 55.00 32.72 64 65 56.29 32.50 56. 15 32. 75 56.01 32.99 55. 86 33.23 65 66 57.16 33.00 57.01 33.25 56.87 33.50 56.72 33. 75 66 67 58.02 33. 50 57. 88 33.75 57.73 34.01 57. 58 34.26 67 68 58.89 34.00 58.74 34.26 58.59 34.51 58.44 34.77 68 69 59. 76 34.50 59. 60 34.76 59.45 35.02 59.30 35.28 69 70 60.62 35.00 60.47 35.26 60.31 35.53 60.16 35.79 70 71 61.49 35.50 61. 33 35.77 61.18 36.04 61.02 36.30 71 72 62.35 36.00 62.20 36.27 62.04 36.54 61.88 36.81 72 73 63. 22 36. 50 63.06 36.78 62.90 37.05 62.74 37.32 73 74 64.09 37.00 63.92 37.28 63.76 37.56 63.60 37.84 74 75 64.95 37.50 64.79 37.78 64.62 38.07 64.46 38.35 75 76 65.82 38.00 65. 65 38.29 65.48 38.57 65. 31 38.86 76 77 66.68 38.50 66.52 38.79 66. 35 39. 08 66. 17 39.37 77 78 67. 55 39.00 67.38 39.29 67. 21 39.59 67. 03 39.88 78 79 68.42 39.50 68.24 39.80 68.07 40.10 67.89 40.39 79 80 69.28 40.00 69.11 40.30 68.93 40.60 68.75 40.90 60 81 70.15 40.50 69.97 40.81 69.79 41.11 69. 61 41.41 81 82 71.01 41.00 70. 83 41.31 70.65 41.62 70.47 41.93 82 83 71.88 41.50 71.70 41.81 71. 52 42.13 71.33 42.44 83 84 72.75 42.00 72.56 42.32 72.38 42.63 72. 19 42.95 84 85 73. 61 42.50 73. 43 42.82 73.24 43. 14 73.05 43.46 85 86 74.48 43.00 74.29 43. 32 74.10 43. 65 73.91 43. 97 86 87 75. 34 43.50 75.15 43.83 74.96 44. 16 74.77 44.48 87 88 76.21 44.00 76.02 44. 33 75.82 44. 66 75.63 44.99 88 89 77.08 44.50 76.88 44.84 76.68 45.17 76.49 45.51 89 90 77.94 45.00 77.75 45.34 77.55 45.68 77.35 46.02 90 91 78.81 45.50 78.61 45.84 78.41 46.19 78.21 46.53 91 92 79.67 46.00 79.47 46.35 79.27 46. 69 79.07 47.04 92 93 80. 54 46.50 80.34 46.85 80.13 47.20 79.92 47.55 93 94 81.41 47.00 81.20 47. 35 80.99 47.71 80.78 48.06 94 95 82.27 47. 50 82. 06 47. 80 81.85 48.22 81.64 48.57 95 96 83. 14 48.00 82.93 48. 36 82.72 48.72 82.50 49. OS 96 97 84.00 48.50 83.79 48.87 83. 58 49.23 83. 36 49. 60 97 98 84.87 49.00 84. 66 49. 37 84.44 49.74 84.22 50.11 98 99 85. 74 49. 50 85.52 49.87 85.30 50. 25 85. 08 50.62 99 100 86. CO 50.00 86.38 50.38 86.16 50.75 85.94 51.13 100 t Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. B I i 00. 59^. 59^. 59M. I 69 TABLE 4. TRAVERSE TABLE. e 31. 31^. 31^. 31^. H < I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P 1 0.86 0.52 0.85 0.52 0.85 0.52 0.85 0.53 1 2 1.71 1.03 1.71 1.04 1.71 1.04 1.70 1.05 2 3 2.57 1.55 2.56 1.56 2.56 1.57 2.55 1.58 3 4 3.43 2.06 3.42 2.08 3.41 2.09 3.40 2.10 4 5 4.29 2.58 4.27 2.59 4.26 2.61 4.25 2.63 5 6 5.14 3.09 5.13 3.11 5.12 3.13 5.10 3.16 6 7 6.00 3.61 5.98 3.63 5.97 3.66 5.95 3.68 7 8 6.86 4.12 6.84 4.15 6.82 4.18 6.80 4.21 8 9 7.71 4.64 7.69 4.67 7.67 4.70 7.65 4.74 9 10 8.57 5.15 8.55 5.19 8.53 5.22 8.50 5.26 10 11 9.43 5.67 9.40 5.71 9.38 5.75 9.35 5.79 11 12 10.29 6.18 10.26 6.23 10.23 6.27 10.20 6.31 12 13 11.14 6.70 11.11 6.74 11.08 6.79 11.05 6.84 13 14 12.00 7.21 11.97 7.26 11.94 7.31 11.90 7.37 14 15 12.86 7.73 12.82 7.78 12.79 7.84 12. 76 7.89 15 16 13.71 8.24 13.68 8.30 13.64 8.36 13. 61 8.42 10 17 14.57 8.70 14.53 8.82 14.49 8.88 14.46 8.95 17 18 15.43 9.27 15.39 9.34 15. 35 9.40 15.31 9.47 18 19 16. 29 9.79 16.24 9.86 16.20 9.93 16.16 10.00 19 20 17.14 10.30 17.10 10.38 17.05 10.45 17.01 10. 52 20 21 18.00 10.82 17.95 10.89 17.91 10. 97 17.86 11.05 21 22 18.86 11.33 18.81 11.41 18.76 11.49 18.71 11.58 22 23 19.71 11.85 19.66 11.93 19.61 12.02 19.56 12.10 23 24 20.57 12.36 20.62 12.45 20.46 12.54 20.41 12.63 24 25 21.43 12.88 21.37 12.97 21.32 13.06 21.26 13.16 25 26 22. 29 13.39 22.23 13.49 22.17 13.58 22.11 13. C8 26 27 23.14 13.91 23.08 14.01 23.02 14.11 22.96 14.21 27 28 24.00 14.42 23.94 14.53 23. 87 14.63 23.81 14.73 28 29 24.86 14. 94 24.79 15.04 24.73 15. 15 24.66 15.26 29 30 25.72 15.45 25. 65 15.56 25.58 15.67 25.51 15.79 30 31 20. 57 15.97 26.50 16.08 26.43 16.20 26.36 16. 31 31 32 27. 43 16. 48 27.36 16.60 27.28 16.72 27.21 16.81 32 33 28.29 17.00 28.21 17.12 28.14 17.24 28.06 17.37 33 34 29.14 17.51 29.07 17.64 28.99 17.76 28.91 17.89 34 35 30.00 18.03 29.92 18. 16 29.84 18.29 29.76 18.42 35 36 30. 86 18.54 30.78 18.68 30.70 18.81 30. 61 18. 94 36 37 31.72 19.06 31.63 19.19 31.55 19.33 31.46 19.47 37 38 32.57 19.57 32.49 19.71 32.40 19.85 32.31 20.00 38 39 33. 43 20.09 33.34 20.23 33.25 20.38 33.16 20.52 39 40 34. 29 20. 60 34.20 20.75 34.11 20.90 34.01 21.05 40 41 35.14 21.12 35.05 21 27 34.96 21.42 34.86 21.57 41 42 36.00 21.63 35.91 21.79 35.81 21.94 35.71 22.10 42 43 36.86 22.15 36. 76 22.31 36. 66 22.47 36.57 22. 63 43 44 37.72 22.06 37. 62 22.83 37.52 22.99 37.42 23.15 44 45 as. 57 23. 18 38.47 23.34 38.37 23. 51 38.27 23. 68 45 46 39. 43 23. G9 39.33 23. 86 39.22 24.03 39.12 24.21 46 47 40.29 24.21 40. 18 24.38 40.07 24. 56 39.97 24.73 47 48 41.14 24.72 41.04 24.90 40.93 25.08 40.82 25.26 48 49 42.00 25. 24 41.89 25.42 41.78 25.60 41. 67 25.78 49 50 42.86 25.75 42.75 25.94 42. 63 26.12 42.52 26.31 50 es Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. CS mt .22 5 59. 58%. 58^. 5SM. I 5 TABLE 4. -TRAVERSE TABLE. 31. 31H. 31 ^ 31 3 4 o O 1 sr I Lat. Dep. ! Lat. Dep. Lat. Dep. Lat. Dep. P I 51 43.72 26.27 43.60 26.46 43.48 26.65 43.37 26.84 51 52 44.57 26.78 44.46 26.98 44.34 27.17 44.22 27.36 52 53 45.43 27.30 45.31 27.49 45.19 27.69 45. 07 27.89 53 54 46. 29 27.81 46.17 28.01 46.04 28.21 45.92 28.42 54 55 47.14 28.33 47.02 28.53 46.90 28.74 46. 77 28.94 55 56 48.00 28.84 47.88 29. 05 47.75 29.26 47.62 29.47 56 57 48.86 29.36 48.73 29.57 48.60 29.78 48.47 29.99 57 58 49.72 29.87 49.58 30.09 49.45 30.30 49.32 30.52 58 59 50.57 30.39 50.44 30.61 50.31 30.83 50.17 31.05 59 CO 51. 43 30.90 51.29 31.13 51.16 31.35 51.02 31.57 60 61 52.29 31.42 52.15 31.65 52.01 31.87 51.87 32.10 61 62 53.14 31.93 53.00 32.16 52.86 32.39 52. 72 32. 63 62 63 54.00 32.45 53. 86 32. 68 53.72 32.92 53.57 33.15 63 64 54.86 32.96 54.71 33. 20 54.57 33.44 54.42 33. 68 64 65 55.72 33.48 55.57 33. 72 55.42 33. 96 55.27 34.20 65 66 56.57 33. 99 56.42 34.24 56.27 34.48 56.12 34.73 66 67 57. 43 34.51 57.28 34.76 57.13 35.01 56.98 35.26 67 68 58.29 35.02 58.13 35.28 57.98 35.53 57.82 35.78 68 69 59.14 35.54 58.99 35.80 58.83 36.05 58.67 36. 31 69 70 60.00 36.05 59.84 36.31 59. 68 36.57 59.52 36.83 70 71 60. 86 36.57 60.70 36.83 60. 54 37.10 60.38 37.36 71 72 61.72 37.08 61.55 37.35 61.39 37.62 61.23 37.89 72 73 62. 57 37.60 62.41 37.87 62.24 38.14 62.08 38.41 73 74 63.43 38.11 63.26 38.39 63.10 38.66 62.93 38.94 74 75 64.29 38. 63 64.12 38.91 63.95 39.19 63.78 39.47 75 76 65.14 39.14 64.97 39.43 64. 80 39.71 64.63 39.99 76 77 66. 00 39.66 65.83 39.95 65.65 40. 23 65.48 40.52 77 78 66.86 40.17 66. 68 40. 46 66.51 40.75 66.33 41.04 78 79 67.72 40.69 67.54 40.98 67. 36 41.28 67.18 41.57 79 80 68.57 41.20 68.39 41.50 68.21 41.80 68.03 42.10 80 81 69.43 41.72 69.25 42.02 69. 06 42.32 68.88 42.62 81 82 70.29 42.23 70.10 42.54 69.92 42.84 69.73 43.15 82 83 71.14 42.75 70.96 43. 06 70.77 43.37 70.58 43.68 83 84 72.00 43. 26 71.81 43.58 71.62 43.89 71.43 44.20 84 85 72. 86 43.78 72. 67 44.10 72.47 44.41 72.28 44.73 85 86 73.72 44.29 73.52 44.61 73.33 44.93 73. 13 45.25 '86 87 74.57 44.81 74.38 45.13 74.18 45. 46 73.98 45.78 87 88 75.43 45.32 75.23 45.65 75.03 45. 98 74.83 46.31 88 89 76.29 45.84 76.09 46.17 75.88 46.50 75.68 46. 83 89 90 77.15 46.35 76. 94 46.69 76.74 47.02 76.53 47.36 90 91 78.00 46.87 77.80 47.21 77.59 47.55 77.38 47.89 91 92 78.86 47. 38 78.65 47.73 78.44 48.07 78.23 48.41 92 93 79.72 47.90 79.51 48. 25 79. 30 48.59 79.08 48.94 93 94 80. 57 48.41 SO. 36 48.76 80.15 49.11 79.93 49.47 94 95 81. 43 48. 93 81.22 49.28 81.00 49. 64 80.78 49.99 95 96 82.29 49.44 82.07 49.80 81.85 50.16 81.63 50.52 96 97 83.15 49.96 82.93 50.32 82.71 50.68 82. 48 51.04 97 98 84.00 50.47 83.78 50.84 83.56 51.20 83.33 51.57 98 99 84. 86 50.99 84. 64 51.36 84.41 51.73 84.18 52.10 99 100 85.72 51.50 85.49 51.88 85.26 52.25 85.04 52.62 100 i Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 03 8 59. 58%. 58^. 58^. 5 71 TABLE 1. -TRAVERSE TABLE. B r 32. 3214. 3214. 32%. g 1 5 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I i 0.85 0.53 0.85 0.53 0.84 0.54 0.84 0.54 i 2 1.70 1.06 1.69 1.07 1.69 1.07 1.68 1.08 2 3 2.54 1.59 2.54 1.60 2.53 1.61 2.52 1.62 3 4 3.39 2.12 3.38 2.13 3.37 2.15 3.36 2.16 4 5 4.24 2.65 4.23 2.67 4.22 2.69 4.21 2.70 5 6 5.09 3.18 5.07 3.20 5.06 3.22 5.05 3.25 6 7 5.94 3.71 5.92 3.74 5.90 3.76 5.89 3.79 7 8 G.78 4.24 6.77 4.27 6.75 4.30 6.73 4.33 8 9 7.63 4.77 7.61 4.80 7.59 4.84 7.57 4.87 9 10 8.48 5.30 8.46 5.34 8.43 5.37 8.41 5.41 10 11 9.33 5.83 9.30 5.87 9.28 5.91 9.25 5.95 11 12 10. 18 6.36 10.15 6.40 10. 12 6.45 10.09 6.49 12 13 11.02 6.89 10.99 6.94 10.96 6.98 10.93 7.03 13 14 11.87 7.42 11.84 7.47 11.81 7.52 11.77 7.57 14 15 12.72 7.95 12.69 8.00 12. 65 8.06 12.62 8.11 15 16 13.57 8.48 13.53 8.54 13.49 8.60 13.46 8.66 16 17 14.42 9.01 14.38 9.07 14.34 9.13 14. 30 9.20 17 18 15.26 9.54 15.22 9.61 15.18 9.67 15.14 9.74 18 19 16.11 10.07 16.07 10.14 16. 02 10.21 15.98 10.28 19 20 16.96 10.60 16.91 10.67 16.87 10.75 16.82 10.82 20 21 17.81 11.13 17.76 11.21 17.71 11.28 17.66 11.36 21 22 18.66 11.66 18.61 11.74 18.55 11.82 18.50 11.90 22 23 19.51 12.19 19.45 12.27 19.40 12.36 19.34 12.44 23 24 20. 35 12.72 20.30 12.81 20. 24 12.90 20.18 12. 98 24 25 21.20 13.25 21.14 13.34 21.08 13. 43 21.03 13.52 25 20 22.05 13.78 21.99 13.87 21.93 13.97 21.87 14.07 26 27 22.90 14.31 22.83 14.41 22.77 14.51 22.71 14.61 27 28 23.75 14.84 23.68 14.94 23.61 15.04 23.55 15.15 28 29 24.59 15.37 24.53 15.47 24. 46 15.58 24.39 15.69 29 30 25.44 15.90 25.37 16.01 25.30 16.12 25.23 16.23 30 31 26.29 16.43 26.22 16.54 26.15 16.66 26.07 16.77 31 32 27.14 16.96 27.06 17.08 26. 99 17.19 26.91 17.31 32 33 27.99 17.49 27.91 17.61 27.83 17.73 27.75 17.85 33 31 28.83 18.02 28.75 18.14 28.68 18.27 28.60 18.39 34 35 29.68 18.55 29.60 18.68 29. 52 18.81 29. 44 18.93 35 3(5 30.53 19.08 30.45 19.21 30. 36 19.34 30.28 19. 48 36 37 31. 38 19.61 31.29 19.74 31.21 19. 88 31.12 20.02 37 38 32. 23 20.14 32.14 20.28 32. 05 20.42 31.96 20.56 38 39 33.07 20.67 32.98 20.81 32.89 20.95 32.80 21.10 39 40 33.92 21.20 33.83 21.34 33.74 21.49 33.64 21.64 40 41 34.77 21.73 34.67 21.88 34.58 22.03 34.48 22.18 41 42 35.62 22. 26 35.52 22.41 35.42 22. 57 35. 32 22. 72 42 43 36.47 22. 79 36.37 22.95 36.27 23.10 36. 16 23.26 43 44 37.31 23.32 37.21 23.48 37.11 23. 64 37.01 23.80 44 45 38.16 23.85 38.06 24.01 37.95 24.18 37.85 24. 34 45 46 39.01 24.38 38.90 24.55 38.80 24. 72 38. 69 24.88 46 47 39.86 24.91 39.75 25.08 39.64 25.25 39.53 25. 43 47 48 40.71 25.44 40.59 25.61 40.48 25.79 40.37 25.97 48 49 41.55 25.97 41.44 26.15 41.33 26. 33 41.21 26. 51 49 50 42.40 26.50 42.29 26.68 42.17 26.86 42.05 27.05 50 I Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. I 3 ft 58. 57%. >7y 2 . 57M- ft 72 TABLE 4. -TRAVERSE TABLE. U I 32. OT 32M-. 32%. d 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 51 43.25 27.03 43.13 27.21 43.01 27.40 42.89 27.59 51 52 44.10 27.56 43.98 27.75 43.86 27.94 43.73 28.13 52 53 44.95 28.09 44.82 28.28 44.70 28.48 44.58 28.67 53 54 45. 79 28. 62 45. 67 28.82 45.54 29.01 45. 42 29. 21 54 55 46. 64 29.15 46. 52 29.35 46. 39 29.55 46.26 29. 75 55 56 47.49 29. 68 47.36 29.88 47.23 30. 09 47.10 30.29 56 57 48.34 30.21 48.21 30.42 48.07 30.63 47.94 30.84 57 58 49. 19 30.74 49. 05 30.95 48.92 31. 16 48.78 31.38 58 59 50.03 31.27 49.90 31.48 49.76 31.70 49.62 31.92 59 60 50.88 31.80 50.74 32.02 50.60 32.24 50.46 32.46 60 61 51.73 32. 33 51.59 32.55 51.45 32.78 51.30 33.00 61 62 52.58 32.85 52.44 33.08 52.29 33.31 52.14 33.54 62 63 53.43 33.38 53.28 33. 62 53.13 33.85 52.99 34.08 63 64 54.28 33.91 54.13 34.15 53.98 34. 39 53.83 34. 62 64 65 55. 12 34.44 54.97 34.68 54. 82 34.92 54.67 35.16 65 66 55. 97 34.97 55.82 35.22 55. 66 35. 46 55.51 35.70 66 67 56. 82 35. 50 56. 66 35.75 56. 51 36. 00 56. 35 36. 25 67 68 57. 67 36. 03 57.51 36.29 57. 35 36.54 57.19 36. 79 68 69 58.52 36. 56 58.36 36.82 58.19 37.07 58.03 37. 33 69 70 59.36 37.09 59.20 37.35 59. 04 37.61 58.87 37.87 70 71 60.21 37.62 60.05 37.89 59.88 38. 15 59.71 38.41 71 72 61.06 38. 15 60. 89 38.42 60. 72 38. 69 60. 55 38.95 72 73 61.91 38.68 61.74 38.95 61.57 39.22 61.40 39.49 73 74 62. 76 39. 21 62.58 39. 49 62.41 39. 76 62.24 40.03 74 75 63.60 39.74 63.43 40.02 as. 25 40. 30 63.08 40.57 75 76 64. 45 40.27 64.28 40.55 64.10 40.83 63.92 41.11 76 77 65.30 40.80 65. 12 41.09 64.94 41. 37 64.76 41.66 77 78 66.15 41.33 65.97 41.62 65.78 41.91 65. 60 42.20 78 79 67. 00 41.86 66.81 42. 16 66. 63 42.45 66. 44 42.74 79 80 67.84 42.39 67. 66 42.69 67.47 42.98 67.28 43.28 80 81 68.69 42.92 68.50 43.22 68.31 43. 52 68.12 43.82 81 82 69. 54 43. 45 69.35 43.76 69. 16 44. 06 68.97 44.36 82 83 70.39 43.98 70.20 44.29 70.00 44. 60 69. 81 44.90 83 84 71.24 44.51 71.04 44.82 70.84 45.13 70. 65 45.44 84 85 72.08 45.04 71.89 45.36 71.69 45.67 71.49 45. 98 85 86 72. 93 45.57 72.73 45.89 72.53 46.21 72.33 46. 52 86 87 73.78 46.10 73.58 46. 42 73.38 46. 75 73. 17 47.06 87 88 74. 63 46. 63 74.42 46.96 74.22 47.28 74.01 47.61 88 89 75.48 47. 16 75.27 47.49 75. 06 47.82 74.85 48.15 89 90 76.32 47.69 76.12 48.03 75.91 48. 36 75.69 48.69 90 91 77.17 48.22 76. 96 48.56 76.75 48.89 76. 53 49.23 91 92 78.02 48.75 77.81 49.09 77.59 49.43 77.38 49.77 92 93 78.87 49.28 78.65 49. 63 78.44 49.97 78. 22 50. 31 93 94 79. 72 49.81 79.50 50.16 79.28 50.51 79.06 50. 85 94 95 80. 50 50.34 80.34 50.69 80.12 51.04 79.90 51.39 95 96 81.41 60.87 81.19 51.23 80.97 51.58 80.74 51.93 96 97 82. 26 51.40 82.04 51.76 81.81 52. 12 81.58 52.47 97 98 83.11 51.93 82.88 52.29 82. 65 52. 66 82. 42 53.02 98 99 83. 96 52. 46 83. 73 52.83 83.50 53.19 83.26 53. 56 99 100 84.80 52.99 84.57 53.36 84.34 53.73 84.10 54.10 100 I Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i 1 Q 5S. 57^. 57H-. 73 TABLE 4. TRAVERSE TABLE. o 33. 33M- 33^. 33%. H g. I I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 1 0.84 0.54 0.84 0.55 0.83 0.55 0.83 0.56 1 2 1.68 1.09 1.67 1.10 1.67 1.10 1.66 1.11 2 3 2.52 1.63 2.51 1.64 2.50 1.66 2.49 1.67 3 4 3.35 2.18 3.35 2.19 3.34 2.21 3.33 2.22 4 5 4.19 2.72 4.18 2.74 4.17 2.76 4.16 2.78 1 6 5.03 3.27 5.02 3.29 5.00 3.31 4.99 3.33 6 7 5.87 3.81 5.85 3.84 5.84 3.86 5.82 3.89 7 8 6.71 4.36 6.69 4.39 6.67 4.42 6.65 4.44 8 9 7.55 4.90 7.53 4.93 7. .50 4.97 7.48 5.00 9 10 8.39 5.45 8.36 5.48 8.34 5.52 8.31 5.56 10 11 9.23 5.99 9.20 6.03 9.17 6.07 9.15 6.11 11 :2 10.06 6.54 10.04 6.58 10.01 6.62 9.98 6.67 12 13 10.90 7.08 10.87 7.13 10.84 7.18 10.81 7.22 13 14 11.74 7.62 11.71 7.68 11.67 7.73 11.64 7.78 14 15 12.58 8.17 12.54 8.22 12.51 8.28 12.47 8.33 15 16 13.42 8.71 13.38 8.77 13.34 8.83 13.30 8.89 16 17 14.26 9.26 14.22 9.32 14.18 9.38 14.13 9.44 17 18 15.10 9.80 15.05 9.87 15.01 9.93 14.97 10.00 18 19 15.93 10.35 15.89 10.42 15.84 10.49 15.80 10. 56 19 20 16.77 10.89 16.73 10.97 16.68 11.04 16.63 11.11 20 21 17.61 11.44 17. 56 11.51 17.51 11.59 17. 46 1 1 . 67 21 22 18.45 11.98 18.40 12.06 18.35 12.14 18.29 12.22 22 23 19.29 12.53 19. 23 12.61 19.18 12.69 19.12 12.78 23 24 20.13 13.07 20.07 13.16 20. 01 13.25 19.96 13.33 24 25 20.97 13.62 20.91 13.71 20. 85 13. 80 20.79 13. 89 25 26 21.81 14. 16 21.74 14. 26 21.68 14.35 21.62 14.44 26 27 22.64 14.71 22.58 14.80 22.51 14.90 22.45 15.00 27 28 23.48 15.25 23.42 15.35 23. 35 15.45 23. 28 15.56 28 29 24.32 15.79 24.25 15.90 24.18 16.01 24.11 16.11 29 30 25.16 16.34 25.09 16.45 25.02 16.56 24.94 16.67 30 31 26.00 16.88 25.92 17.00 25. 85 17.11 25.78 17.22 31 32 26. 84 17.43 26. 76 17.55 26.68 17. 66 26. 61 17.78 32 33 27. 68 17.97 27.60 18.09 27.52 18.21 27.44 18.33 33 34 28.51 18.52 28.43 18.64 28. 35 18.77 28.27 18.89 34 35 29.35 19.06 29. 27 19.19 29.19 19. 32 29. 10 19.44 35 36 30.19 19.61 30. 1 1 19.74 30.02 19.87 29.93 20.00 36 37 31.03 20.15 30.94 20.29 30. 85 20.42 30. 76 20.56 37 38 31.87 20.70 31.78 20.84 31.69 20. 97 31.60 21.11 38 39 32.71 21.24 32. 62 21.38 32.52 21.53 32.43 21.67 39 40 33.55 21.79 33.45 21.93 33.36 22.08 33.26 22.22 40 41 34.39 22. 33 34. 29 22.48 34.19 22.63 34.09 22. 78 41 42 35.22 22.87 35.12 23.03 35.02 23.18 34.92 23.33 42 43 36.06 23.42 35. 96 23.58 35.86 23. 73 35.75 23. 89 43 44 36.90 23. 96 36.80 24.12 36. 69 24.29 36.58 24. 45 44 45 37.74 24.51 37. 63 24.67 37.52 24. 84 37.42 25.00 45 46 38.58 25.05 38.47 25. 22 38. 36 25.39 38.25 25. 56 46 47 39.42 25.60 39.31 25. 77 39.19 25.94 39. 08 26. 11 47 48 40. 26 26.14 40.14 26. 32 40.03 26.49 39. 91 26.67 48 49 41.09 26. 69 40.98 26.87 40. 86 27.04 40.74 27.22 49 50 41.93 27.23 41.81 27.41 41.69 27.60 41.57 27.78 50 . 01 35. 31 45.86 35.51 58 59 47.12 35.51 46. 96 35.71 46. 81 35. 92 46. 65 36. 12 59 GO 47.92 36.11 47.76 36.32 47.60 36. 53 47.44 36.73 60 61 ' 48.72 36.71 48. 56 36. 92 48.39 37.13 48.23 37.35 61 62 49.52 37.31 49.35 37.53 49.19 37.74 49.02 37. 96 62 63 50.31 37. 91 50.15 38. 13 49.98 38.35 49.81 38.57 63 64 51.11 38.52 50.94 38. 74 50.77 38. 96 50.60 39.18 64 65 51.91 39. 12 51.74 39.34 51.57 39. 57 51.39 39.79 65 66 52.71 39.72 52. 54 39.95 52.36 40.18 52.19 40.41 66 67 53.51 40. 32 53.33 40. 55 53.15 40.79 52.98 41.02 67 68 54.31 40.92 54.13 41.16 53.95 41.40 53.77 41.63 68 69 55.11 41.53 54.92 41.77 54.74 42.00 54.56 42.24 69 70 55.90 42.13 55.72 42. 37 55.53 42.61 55.35 42.86 70 71 56. 70 42.73 56.52 42.98 56.33 43.22 56.14 43.47 71 72 57. 50 43. 33 57. 31 43.58 57.12 43.83 56.93 44.08 72 73 58.30 43.93 58.11 44.19 57.91 44.44 57.72 44.69 73 74 59.10 44.53 58.90 44.79 58.71 45.05 58.51 45.30 74 75 59.90 45. 14 59.70 45.40 59.50 45.66 59.30 45.92 75 76 60.70 45. 74 60. 50 46. 00 CO. 29 46. 27 60.09 46.53 76 77 61.49 46. 34 61.29 46. 61 61.09 46.87 60.88 47.14 77 78 62.29 46.94 62.09 47.21 61.88 47.48 61.67 47.75 78 79 63.09 47.54 62.88 47.82 62. 67 48.09 62.46 48.37 79 80 63.89 48.15 63.68 48.42 63. 47 48.70 63.26 48.98 80 81 64.69 48.75 64. 48 49.03 64.26 49.31 64.05 49.59 81 82 65. 49 49.35 65.27 49.63 65.05 49.92 64.84 50.20 82 83 66. 29 49.95 66.07 50.24 65.85 50.53 65. 63 50.81 83 84 67.09 50.55 66. 86 50.84 66.64 51.14 66. 42 51.43 84 85 67.88 51.15 67. G6 51.45 67.44 51.74 67. 21 52.04 85 86 68.68 51.76 68. 48 52.06 68. 23 52.35 68.00 52.65 86 87 69.48 52. 36 69.25 52.66 69. 02 52. 96 68.79 53. 26 87 88 70.28 52.96 70. 05 53.27 69.82 53.57 69.58 53.88 88 89 71.08 53. 56 70.84 53.87 70.61 54.18 70.37 54.49 89 90 71.88 54. 1G 71.64 54.48 71.40 54.79 71.16 55.10 90 91 72.68 54.77 72.44 55.08 72.20 55.40 71.95 55.71 91 92 73.47 55. 37 73.23 55. 69 72.99 56.01 72.74 56. 32 92 93 74.27 55.97 74.03 56.29 73. 78 56. 61 73. 53 56. 94 93 94 75.07 56.57 74.82 56. 90 74.58 57.22 74.32 57.55 94 95 75. 87 57.17 75. 62 57.50 75.37 57.83 75.12 58.16 95 96 76. 67 57. 77 76. 42 58.11 76. 16 58.44 75.91 58.77 96 97 77.47 58.38 77.21 58.71 76. 96 59.05 76.70 59.39 97 98 78. 27 58. 98 78.01 59.32 77.75 59.66 77.49 60.00 98 99 79.06 59.58 78. 80 59.92 78. 54 60.27 78.28 60.61 99 100 79.86 60.18 79.60 60.53 79.34 60.88 79.07 61.22 100 I Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. I "OT fl 53. 52 3,r. 52^. 52M. A 83 TABLE 4. TRAVERSE TABLE. 38. 38^. 38^. 38%. d i 2- 3 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. S 1 0.79 0.62 0.79 0.62 0.78 0.62 0.78 0.63 1 2 1.58 1.23 1.57 1.24 1.57 1.25 1.56 1.25 2 3 2.36 1.85 2.36 1.86 2.35 1.87 2.34 1.88 3 4 3.15 2.46 3.14 2.48 3.13 2.49 3.12 2.50 4 5 3.94 3.08 3.93 3.10 3.91 3.11 3.90 3.13 5 6 4.73 3.69 4.71 3.71 4.70 3.74 4.68 3.76 6 7 5.52 4.31 5.50 4.33 5.48 4.36 5.46 4.38 7 8 6.30 4.93 6.28 4.95 6.26 4.98 6.24 5.01 8 9 7.09 5.54 7.07 5.57 7.04 5.60 7.02 5. 63 9 10 7.88 6.16 7.85 6.19 7.83 6.23 7.80 6.26 10 11 8.67 6.77 8.64 6.81 8.61 6.85 8.58 6.89 11 12 9.46 7.39 9.42 7.43 9.39 7.47 9.36 7.51 12 13 10.24 8.00 10.21 8.05 10.17 8.09 10.14 8.14 13 14 11.03 8.62 10.99 8.67 10. 96 8.72 10.92 8.76 14 15 11.82 9.23 11.78 9.29 11.74 9.34 11.70 9.39 15 16 12. 61 9. 85 12.57 9.91 12.52 9.96 12.48 10.01 16 17 13.40 10.47 13.35 10.52 13. 30 10.58 13.26 10. 64 17 18 14. 18 11.08 14.14 11.14 14.09 11.21 14.04 11.27 18 19 14.97 11.70 14.92 11.76 14.87 11.83 14.82 11.89 19 20 15.76 12.31 15.71 12.38 15.65 12.45 15.60 12.52 20 21 16.55 12.93 16.49 13.00 16.43 13.07 16.38 13. 14 21 22 17.34 13. 54 17.28 13. 62 17.22 13. 70 17. 16 13. 77 22 23 18.12 14. 16 18.06 14.24 18.00 14.32 17.94 14.40 23 24 18.91 14. 78 18.85 14. 86 18.78 14.94 18.72 15.02 24 25 19.70 15.39 19. 63 15. 48 19. 57 15. 56 19.50 1 15.05 25 26 20.49 16.01 20.42 16. 10 20.35 16. 19 20. 28 16.27 26 27 21.28 16. 62 21. 20 16.72 21.13 16.81 21.06 16.90 27 28 22. 06 17.24 21.99 17.33 21.91 17.43 21.84 17.53 28 29 22.85 17. 85 22.77 17. 95 22.70 18.05 22. 62 18.15 29 30 23.64 18.47 23.56 18.57 23.48 18.68 23.40 18.78 30 31 24. 43 19.09 24.34 19.19 24. 26 19. 30 24.18 19.40 31 32 25.22 19.70 25. 13 19. 81 25.04 19.92 24. 96 20.03 32 33 26. 00 20.32 25.92 20.43 25.83 20.54 25.74 20. 66 33 34 26. 79 20. 93 26. 70 21.05 26. 61 21.17 26.52 21.28 34 35 27. 58 21.55 27.49 21.67 27.39 21.79 27.30 21.91 35 36 28.37 22. 16 28. 27 22.29 28.17 22.41 28.08 22.53 36 37 29.16 22. 78 29.06 22.91 28.96 23. 03 28.86 23. 16 37 38 29.94 23.40 29.84 23. 53 29.74 23. 66 29.64 23. 79 38 39 30. 73 24.01 30.63 24.14 30.52 24.28 30.42 24.41 39 40 31.52 24.63 31.41 24.76 31.30 24.90 31.20 25.04 40 41 32.31 25.24 32.20 25. 38 32.09 25.52 31.98 25. 66 41 42 33.10 25.86 32. 98 26.00 32.87 26. 15 32.76 26. 29 42 43 33.88 26. 47 33.77 26. 62 33. 65 26.77 33.54 26. 91 43 44 34.67 27.09 34.55 27.24 34. 43 27.39 34. 31 27.54 44 45 35. 46 27.70 35.34 27. 86 35.22 28.01 35.09 28.17 45 46 36.25 28.32 36.12 28.48 36.00 28.64 35. 87 28.79 46 47 37.04 28.94 36. 91 29.10 36. 78 29.26 36.65 29.42 47 48 37.82 29.55 37.70 29.72 37.57 29.88 37. 43 30.04 48 49 38. 61 30.17 38. 48 30. 34 38.35 30. 50 38.21 30.67 49 50 39.40 30.78 39.27 30.95 39.13 31.13 38.99 31. 30 50 8 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. M 1 || 1 ft 52. 51%. 51}'2. 51M- ft 84 TABLE 4. TRAVERSE TABLE. d 38. 38M. 38^'. 38% . O 53" & P 1 ? Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 8 51 40.19 31.40 40.05 31.57 39.91 31.75 39.77 31.92 51 52 40.98 32.01 40.84 32.19 40.70 32.37 40.55 32.55 52 53 41.76 32.63 41. 62 32.81 41.48 32.99 41.33 33.17 53 54 42.55 33.25 42.41 33.43 42.26 33. 62 42.11 33.80 54 55 43. 34 33. 86 43.19 34. 05 43.04 34.24 42.89 34.43 55 56 44.13 34.48 43.98 34. 67 43.83 34.86 43.67 35.05 56 57 44.92 35.09 44.76 35.29 44.61 35.48 44. 45 35. 68 57 58 45.70 35.71 45.55 35.91 45.39 36. 11 45.23 36.30 58 59 46. 49 36. 32 46.33 36.53 46. 17 36.73 46.01 36.93 59 60 47.28 36.94 47.12 37.15 46.96 37.35 46.79 37.56 60 61 48.07 37.56 47.90 37.76 47.74 37.97 47.57 38.18 61 62 48.86 38.17 48.69 38.38 48.52 38.60 48.35 38.81 62 63 49.64 38.79 49.47 39.00 49.30 39.22 49.13 39.43 63 64 50.43 39.40 50.26 39.62 50.09 39.84 49.91 40.06 64 65 51.22 40.02 51.05 40.24 50.87 40.46 50.69 40.69 65 66 52.01 40. 63 51.83 40.86 51.65 41.09 51.47 41.31 66 67 52.80 41.25 52. 62 41.48 52.43 41.71 52. 25 41.94 67 68 53.58 41. 86 53.40 42.10 53.22 42.33 53.03 42. 56 68 69 54.37 42. 48 54.19 42.72 54.00 42.95 53.81 43. 19 69 70 55.16 43.10 54.97 43.34 54.78 43.58 54.59 43.81 70 71 55.95 43. 71 55.76 43.96 55.57 44.20 55.37 44.44 71 72 56.74 44.33 56.54 44.57 56.35 44.82 56.15 45.07 72 73 57.52 44.94 57. 33 45.19 57.13 45.44 56.93 45.69 73 74 58.31 45.56 58.11 45.81 57.91 46.07 57.71 46. 32 74 75 59. 10 46.17 58.90 46.43 58.70 46.69 58.49 46.94 75 76 59.89 46.79 59.68 47.05 59.48 47.31 59.27 47.57 76 77 60. 68 47.41 60.47 47. 67 60.26 47.93 60.05 48.20 77 78 61.46 48.02 61.25 48.29 61.04 48.56 60.83 48.82 78 79 62.25 48.64 62. 04 48.91 61.83 49.18 61.61 49.45 79 80 63.04 49.25 62.83 49.53 62.61 49.80 62.39 50.07 80 81 63.83 49.87 63. 61 50.15 63.39 50.42 63.17 50.70 81 82 64.62 50.48 64.40 50.77 64.17 51.05 63.95 51.33 82 83 65.40 51.10 65.18 51.38 64.96 51. 67 64.73 51.95 83 84 66.19 51.72 65.97 52.00 65.74 52.29 65.51 52.58 84 85 66.98 52.33 66.75 52. 62 66.52 52.91 66.29 53.20 85 86 67.77 52.95 67.54 53.24 67. 30 53.54 67. 07 53.83 86 87 68.56 53. 56 68.32 53.86 68.09 54.16 67.85 54.46 87 88 69. 34 54.18 69.11 54.48 68.87 54.78 68.63 55.08 88 89 70.13 54.79 69. 89 55.10 69.65 55.40 69.41 55.71 89 90 70.92 55.41 70.68 55.72 70.43 56. tt3 70.19 56.33 90 91 71.71 56.03 71.46 56.34 71.22 56.65 70.97 56.96 91 92 72.50 56. (54 72.25 56.96 72.00 57.27 71.75 57.58 92 93 73.29 57.26 73.03 57.58 72.78 57.89 72.53 58.21 93 94 74.07 57. 87 73.82 58.19 73. 57 58.52 73.31 58.84 94 95 74.86 58.49 ; 74. 61 58.81 74. 35 59.14 74.09 59.46 95 96 75.65 59.10 75.39 59.43 75.13 59.76 74.87 60.09 96 97 76.44 59.72 76. 18 60.05 75.91 60.38 75.65 60.71 97 98 77.23 60.33 76. 96 60.67 76.70 61.01 76.43 61.34 98 99 78.01 60.95 77. 75 61.29 77.48 61. 63 77.21 61.97 99 100 78.80 61.57 78.53 61.91 78.26 62.25 77.99 62.59 100 | Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. o; I c3 a p 52. 51%. 51H. 51M- a Q 85 TABLE 4. TRAVERSE TABLE. a 39. 39M- 39>i. 393 4 . 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P 3 o o> i 0.78 0.63 0.77 0.63 0.77 0.64 0.77 0.64 1 2 1.55 1.26 1.55 1.27 1.54 1.27 1.54 1.28 2 3 2.33 1.89 2.32 1.90 2.31 1.91 2.31 1.92 3 4 3.11 2.52 3.10 2.53 3.09 2.54 3.08 2.56 4 5 3.89 3.15 3.87 3.16 3.80 3.18 3.84 3.20 5 6 4.66 3.78 4.65 3.80 4.63 3.82 4.61 3.84 7 5.44 4.41 5.42 4.43 5.40 4.45 5.38 4.48 7 8 6.22 5.03 6.20 5.06 6.17 5.09 6.15 5.12 8 9 6.99 5. 66 6.97 5.69 6.94 5.72 6.92 5.75 9 10 7.77 6.29 7.74 6.33 7.72 6.36 7.69 6.39 10 11 8.55 6.92 8.52 6.96 8.49 7.00 8.46 7.03 11 12 9.33 7.55 9.29 7.59 9.26 7.63 9.23 7.07 12 13 10.10 8.18 10.07 8.23 10.03 8.27 9.99 8.31 13 14 10.88 8.81 10.84 8.86 10.80 8.91 10. 76 8.95 14 15 11. 66 9.44 11.62 9.49 11.57 9.54 11.53 9.59 IS 10 12.43 10.07 12.39 10.12 12.35 10.18 12.30 10. 23 10 17 13.21 10.70 13.16 10.76 13.12 10.81 13. 07 10.87 17 18 13.99 11.33 13.94 11.39 13.89 11.45 13.84 11.51 18 19 14.77 11.96 14.71 12. 02 14. 66 12.09 14.61 12.15 19 20 15.54 12.59 15.49 12.65 15.43 12.72 15.38 12.79 20 21 16.32 13.22 16.26 13.29 16. 20 13.36 16.15 13.43 21 22 17.10 13.85 17.04 13.92 16.98 13.99 10.91 14.07 22 23 17.87 14.47 17.81 14.55 17.75 14.63 17.68 14.71 23 21 18.65 15.10 18.59 15. 18 18.52 15.27 18.45 15. 35 24 25 19. 43 15.73 19.36 15.82 19.29 15.90 19.22 15.99 25 26 20.21 16.36 20. 13 16.45 20. 00 16.54 19.99 16. 63 26 27 20.98 16.99 20.91 17.08 20.83 17.17 20.76 17.26 27 28 21.76 17.62 21. 68 17.72 21. 61 17.81 21. 53 17.90 28 29 22.54 18.25 22.46 18.35 22.38 18.45 22.30 18. 54 29 30 23.31 18.88 23. 23 18.98 23.15 19.08 23.07 19.18 30 31 24.09 19.51 24.01 19. 61 23.92 19.72 23.83 19.82 31 32 24.87 20.14 24.78 20.25 24. 69 20.35 24. 00 20. 46 32 33 25.65 20.77 25.55 20.88 25.46 20.99 25.37 21.10 33 34 20.42 21.40 26.33 21.51 26.24 21. 03 26. 14 21.74 34 35 27.20 22.03 27.10 22.14 27.01 22.26 26. 91 22. 38 35 30 27.98 22. 66 27.88 22.78 27.78 22.90 27. 08 23.02 36 37 28.75 23.28 28.65 23.41 28.55 23.53 28.45 23. (16 37 38 29. 53 23.91 29.43 24.04 29.32 24.17 29. 22 24.30 38 39 30.31 24.54 30.20 24. 68 30.09 24.81 29.98 24.94 39 40 31.09 25.17 30.98 25.31 30.86 25.44 30.75 25.58 40 41 31.86 25.80 31.75 25.94 31.64 26. 08 31.52 20.22 41 42 32.64 26.43 32.52 26.57 32. 41 26.72 32. 29 20. 86 42 43 33.42 27.06 33.30 27.21 33.18 27.35 33.06 27.50 43 44 34.19 27.69 34.07 27.84 33.95 27.99 33.83 28. 14 44 45 34.97 28.32 34.85 28.47 34.72 28. 02 34. GO 28. 77 45 46 35.75 28.95 35. G2 29.10 35.49 29. 26 35. 37 29.41 46 47 36.53 29. 58 36. 40 29.74 30. 27 29.90 36.14 30.05 47 48 37.30 30.21 37.17 30. 37 37. 04 30.53 30.90 30. C9 48 49 38.08 30. 84 37.95 31.00 37.81 31.17 37. 67 31.33 49 50 38.86 31.47 38.72 31. 64 38.58 31.80 38.44 31.97 50 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 8 5 51. 50%. 50^. 50M ft 86 TABLE 4. TRAVERSE TABLE. 39. 39M- 39^. 39%. G " w.' f? Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. p i 51 39.63 32.10 39.49 32.27 39.35 32.44 39.21 32.61 51 52 40.41 32. 72 40.27 32.90 40.12 33.08 39.98 33.25 52 53 41.19 33.35 41.04 33.53 40.90 33.71 40. 75 33.89 53 54 41.97 33.98 41.82 34.17 41.67 34.35 41.52 34.53 54 55 42.74 34.61 42.59 34.80 42. 44 34.98 42.29 35.17 55 50 43.52 35.24 43.37 35. 43 43.21 35.62 43.06 35.81 56 57 44.30 35.87 44.14 36.06 43.98 36.26 43.82 36.45 57 58 45.07 36. 50 44.91 36.70 44.75 36.89 44.59 37.09 58 59 45.85 37.13 45.69 37.33 45.53 37.53 45.36 37.73 59 CO 46.63 37.76 46.46 37.96 46.30 38.16 46.13 38.37 60 01 47.41 38.39 47.24 38.60 47.07 38.80 46.90 39.01 61 62 48.18 39.02 48.01 39.23 47.84 39.44 47.67 39. 65 62 : 63 48.96 39. 65 48.79 39.86 48.61 40.07 48.44 40.28 63 64 49.74 40.28 49.56 40.49 49.38 40.71 49.21 40. 92 64 65 50.51 40.91 50. 34 41.13 50.16 41.35 49.97 41.56 65 60 51.29 41.54 51.11 41.76 50.93 41.98 50.74 42.20 66 67 52.07 42.16 51.88 42.39 51.70 42. 02 51.51 42.84 67 68 52.85 42.79 52.66 43.02 52.47 43.25 52.28 43.48 68 69 53.62 43.42 53.43 43.66 53.24 43.89 53. 05 44.12 69 70 54.40 44.05 54.21 44.29 54.01 44.53 53.82 44.76 70 71 55.18 44.68 54.98 44.92 54.79 45.16 54.59 45.40 71 72 55.95 45. 31 55.76 45.55 55.56 45.80 55.36 46.04 72 73 56.73 45.94 56. 53 46.19 56.33 46. 43 56.13 46.68 73 74 57.51 46. 57 57.31 46.82 57.10 47.07 56. 89 47.32 74 75 58.29 47.20 58. 08 47. 45 57.87 47.71 57. 66 47.96 75 76 59. 06 47.83 58.85 48.09 58.64 48.34 58.43 48.60 76 77 59.84 48.46 59.63 48.72 59.42 48.98 59.20 49.24 77 78 60. 62 49.09 60.40 49.35 60.19 49. 61 59.97 49.88 78 79 61.39 49.72 61.18 49.98 60.96 50.25 60.74 50.52 79 80 62.17 50.35 61.95 50.62 61.73 50.89 61.51 51.16 80 81 62.95 50.97 62.73 51.25 62.50 51.52 62.28 51.79 81 82 63.73 51.60 63.50 51.88 63.27 52.16 63.04 52.43 82 83 64. .50 52. 23 64.27 52.51 64. 04 52.79 63.81 53.07 83 84 65.28 52.86 65. 05 53.15 64.82 53.43 64.58 53.71 84 85 66.06 53.49 65.82 53.78 65.59 54.07 65.35 54.35 85 86 66.83 54.12 66.60 54.41 66.36 54.70 66.12 54. 99 86 87 67. 61 54.75 67. 37 55.05 67.13 55.34 66.89 55. 63 87 88 68.39 55.38 68.15 55.68 67.90 55.97 67.66 56.27 88 89 69.17 56.01 68.92 56. 31 68.67 56. 61 68.43 56.91 89 90 69.94 56.64 69.70 56.94 69.45 57.25 69.20 57.55 90 91 70.72 57.27 70.47 57.58 70.22 57.88 69.96 58.19 91 92 71.50 57.90 71.24 58.21 70.99 58.52 70.73 58.83 92 93 72.27 58. 53 72.02 58.84 71.76 59.16 71.50 59.47 93 94 73.05 59.16 72.79 59.47 72.53 59.79 72.27 60.11 94 95 73.83 59.79 73.57 60.11 73.30 60.43 73. 04 60.75 95 96 74.61 60.41 74.34 60.74 74.08 61.06 73.81 61.39 96 97 75.38 61.04 75.12 61.37 74.85 61.70 74.58 62. 03 97 98 76.16 61. 67 75.89 62. 01 75.62 62.34 75. 35 62.67 98 99 76.94 62. 30 76.66 62. 64 76.39 62.97 76. 12 63.30 99 100 77.71 62.93 77.44 63.27 77.16 63.61 76.88 63.94 100 8 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 8 I S3 p 51. 50%. 50^. 50^. 1 87 TABLE 4. TRAVERSE TABLE. 2 40 o. 40> r. 40> ft 40? P- 2 r^ K P Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P I 1 0.77 0.64 0.76 0.65 0.76 0.65 0.76 0.65 1 2 1.53 1.29 1.53 1.29 1.52 1.30 1.52 1.31 2 3 2.30 1.93 2.29 1.94 2.28 1.95 2.27 1.96 3 4 3.06 2.57 3.05 2.58 3.04 2.60 3.03 2.61 4 5 3.83 3.21 3.82 3.23 3.80 3.25 3.79 3.26 5 6 4.60 3.86 4.58 3.88 4.56 3.90 4.55 3.92 6 7 5.36 4.50 5.34 4.52 5.32 4.55 5.30 4.57 7 8 6.13 5.14 6.11 5.17 6.08 5.20 6.06 5.22 8 9 6.89 5.79 6.87 5.82 6.84 5.85 6.82 5.87 9 10 7.66 6.43 7.63 6.46 7.60 6.49 7.58 6.53 10 11 8.43 7.07 8.40 7.11 8.36 7.14 8.33 7.18 11 12 9.19 7.71 9.16 7.75 9.12 7.79 9.09 7.83 12 13 9.96 8.36 9.92 8.40 9.89 8.44 9.85 8.49 13 14 10.72 9.00 10. 69 9.05 10.65 9.09 10.61 9.14 14 15 11.49 9.64 11.45 9.69 11.41 9.74 11.36 9.79 15 16 12.26 10.28 12.21 10.34 12.17 10.39 12.12 10.44 16 17 13.02 10.93 12.97 10.98 12.93 11.04 12.88 11.10 17 18 13.79 11.57 13.74 11.63 13.69 11. 69 13. 64 11.75 18 19 14.55 12.21 14.50 12.28 14.45 12.34 14.39 12.40 19 20 15.32 12.86 15.26 12.92 15.21 12.99 15.15 13.06 20 21 16.09 13.50 16.03 13.57 15.97 13.64 15.91 13.71 21 22 16.85 14.14 16.79 14.21 16.73 14. 29 16. 67 14.36 22 23 17.62 14.78 17.55 14.86 17.49 14.94 17.42 15.01 23 24 18.39 15.43 18.32 15.51 18.25 15.59 18.18 15.67 24 25 19.15 16.07 19.08 16.15 19.01 16.24 18.94 16.32 25 26 19.92 16.71 19.84 16.80 19.77 16.89 19.70 16.97 26 27 20.68 17.36 20.61 17.45 20.53 17.54 20. 45 17.62 27 28 21.45 18.00 21.37 18.09 21.29 18. 18 21.21 18.28 28 29 22.22 18.64 22.13 18.74 22.05 18.83 21.97 18.93 29 30 22.98 19.28 22.90 19.38 22.81 19.48 22. 73 19.58 30 31 23.75 19. 93 23.66 20.03 23.57 20.13 23.48 20.24 31 32 24.51 20.57 24.42 20.68 24.33 20.78 24.24 20.89 32 33 25.28 21.21 25.19 21.32 25.09 21.43 25.00 21.54 33 34 26.05 21.85 25.95 21.97 25.85 22.08 25.76 22.19 34 35 26.81 22.50 26.71 22. 61 26.61 22.73 26.51 22.85 35 36 27.58 23.14 27. 48 23.26 27.37 23.38 27.27 23.50 36 37 28.34 23.78 28.24 23.91 28.14 24. 03 28.03 24.15 37 38 29.11 24.43 29.00 24.55 28.90 24.68 28.79 24.80 38 39 29.88 25.07 29.77 25.20 29.66 25.33 29.55 25.46 39 40 30.64 25.71 30.53 25.84 30.42 25.98 30.30 26.11 40 41 31.41 26.35 31.29 26.49 31.18 26.63 31.06 26.76 41 42 32.17 27.00 32.06 27. 14 31.94 27.28 31.82 27.42 42 43 32.94 27.04 32. 82 27.78 32.70 27.93 32.58 28.07 43 44 33.71 28.28 33.58 28 43 33. 46 28.58 33.33 28.72 44 45 34.47 28.93 34.35 29.08 34.22 29. 23 34.09 29.37 45 46 35.24 29.57 35.11 29.72 34.98 29.87 34.85 30. 03 46 47 36.00 30.21 35.87 30.37 35.74 30.52 35.61 30.68 47 48 36.77 30.85 36.64 31.01 36.50 31.17 36.36 31.33 48 49 37.54 31.50 37.40 31. 66 37.26 31.82 37.12 31.99 49 50 38.30 32.14 38.16 32.31 38.02 32.47 37.88 32.64 50 s Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. o I c -2 5( . 495 49i / 2- 49J 4. 1 P 88 TABLE 4. -TRAVERSE TABLE. b | 40. 40M. 40^. 40%. P Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P 51 39.07 32.78 38.92 32.95 38.78 33.12 38.64 33.29 51 52 39.83 33. 42 39. 69 33.60 39.54 33.77 39.39 33.94 52 53 40.60 34.07 40.45 34.24 40. 30 34.42 40.15 34.60 53 54 41.37 34.71 41.21 34.89 41. 06 35.07 40. 91 35. 25 54 55 42.13 35.35 41.98 35.54 41.82 35.72 41.67 35. 90 55 56 42.90 36.00 42.74 36. 18 42.58 30.37 42.42 30. 55 56 57 43.66 36.64 43.50 36. 83 43.34 37.02 43.18 37.21 57 58 44.43 37.28 44.27 37.48 44.10 37. 67 43.94 37. 86 58 59 45.20 37.92 45.03 38.12 44.86 38.32 44.70 38.51 59 60 45.96 38.57 45.79 38.77 45.62 38.97 45.45 39.17 60 61 46.73 39.21 46.56 39.41 40.38 39.62 46.21 39.82 61 62 47.49 39.85 47.32 40.06 47.15 40.27 46. 97 40.47 62 63 48.26 40.50 48.08 40. 71 47.91 40.92 47.73 41.12 63 64 49.03 41.14 48.85 41.35 48.67 41.56 48.48 41.78 64 65 49.79 41.78 49.61 42.00 49.43 42.21 49.24 42.43 65 66 50.56 42.42 50.37 42. 64 50.19 42.86 50.00 43. OS 66 67 51.32 43.07 51.14 43. 29 50.95 43.51 50.76 43.73 67 68 52.09 43.71 51.90 43.94 51.71 44.16 51.51 44. 39 68 69 52.86 44.35 52. 66 44.58 52.47 44.81 52.27 45. 04 69 70 53.62 45.00 53.43 45.23 53.23 45.46 53.03 45.69 70 71 54. 39 45. 04 54.19 45.87 53.99 46.11 53.79 46.35 71 72 55. 16 46.28 54.95 46.52 54.75 46.76 54.54 47.00 72 73 55.92 40.92 55.72 47.17 55.51 47.41 55.30 47.65 73 74 56. 69 47.57 56.48 47.81 56.27 48.06 56.06 48.30 74 75 57.45 48.21 57.24 48.46 57.03 48.71 56.82 48. 96 75 76 58.22 48.85 58.01 49.11 57. 79 49.36 57.57 49.61 76 77 58.99 49.49 58.77 49.75 58.55 50.01 58.33 50.26 77 78 59.75 50.14 59.53 50.40 59.31 50.66 59. 09 50.92 78 79 60.52 50.78 60.30 51.04 CO. 07 51.31 59. 85 51.57 79 80 61.28 51.42 61.06 51.69 60.83 51.96 60.61 52.22 80 81 62.05 52.07 61.82 52.34 61. 59 52. 61 61.36 52.87 81 82 62.82 52.71 62.59 52.98 62. 35 53.25 62.12 53.53 82 83 63.58 53.35 63.35 53.63 63.11 53.90 62.88 54.18 83 84 64.35 53.99 64. 11 54.27 63.87 54. 55 63. 64 54.83 84 85 65.11 54. G4 04. 87 54.92 6-4. 03 55. 20 64. 39 55. 48 85 86 65. 8 55. 28 65. 64 -Bsrsr 65. 39 55. 85 6.". 15 ~ mrtf ~"ser 87 66. C5 55. 92 66.40 56.21 66. 16 56. 50 65.91 56.79 87 88 67. 41 56. 57 67.16 56.86 66. 92 57.15 66. 07 57.44 88 89 68.18 57. 21 67.93 57.51 67. 68 57.80 67.42 58.10 89 90 C8.94 57.85 68.69 58.15 68.44 58.45 68.18 58.75 90 91 69.71 58.49 69.45 58.80 69.20 59.10 68.94 59.40 91 92 70.48 59.14 70.22 59.44 69.96 59. 75 69.70 60.05 92 93 71.24 59. 78 70.98 60.09 70.72 60'. 40 70.45 60.71 93 94 72.01 60.42 71.74 60. 74 71.48 61.05 71.21 61.36 94 95 72.77 61.06 72.51 61.38 72.24 61. 70 71.97 62.01 95 96 73.54 61.71 73.27 62.03 73.00 62. 35 72.73 62. 66 96 97 74.31 62. 35 74.03 62.67 73.76 63.00 73. 48 63.32 97 98 75. 07 62.99 74.80 63.32 74.52 63.65 74.24 63. 97 98 99 75.84 63. 64 75.56 63.97 75.28 64.30 75.00 64.62 99 100 76.60 64.28 76.32 64.61 76.04 64.94 75.76 65.28 100 d Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. I % ft 50. me- 49^. 49M. P TABLE 4. TRAVERSE TABLE. g 41. 41W. 4W. 41^. P Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 1 0.75 0.66 0.75 0.66 0.75 0.66 0.75 0. 67 1 2 1.51 1.31 1.50 1.32 1.50 1.33 1.49 1.33 2 3 2.26 1.97 2.26 1.98 2.25 1.99 2.24 2.00 3 4 3.02 2.62 3.01 2.64 3.00 2.65 2.98 2.66 4 5 3.77 3.28 3.76 3.30 3.74 3.31 3.73 3.33 5 6 4.53 3.94 4.51 3.96 4.49 3.98 4.48 4.00 6 7 5.28 4.59 5.26 4.62 5.24 4.64 5.22 4.66 7 g 6.04 5.25 6.01 5.27 5.99 5.30 5.97 5.33 8 9 6.79 5.90 6.77 5.93 6.74 5.96 6.71 5.99 9 10 7.55 6.56 7.52 6.59 7.49 6.63 7.46 6.66 10 11 8.30 7.22 8.27 7.25 8.24 7.29 8.21 7.32 11 12 9.06 7.87 9.02 7.91 8.99 7.95 8.95 7.99 12 13 9.81 8.53 9.77 8.57 9.74 8.61 9.70 8.66 13 14 10.57 9.18 10. 53 9.23 10.49 9.28 10.44 9.32 14 15 11.32 9.84 11.28 9.89 11.23 9.94 11.19 9.99 15 16 12.08 10.50 12.03 10.55 11.98 10.60 11.91 10.05 16 17 12.83 11.15 12.78 11.21 12.73 11.26 12.68 11.32 17 18 13.58 11.81 13.53 11.87 13.48 11.93 13.43 11.99 18 19 14.34 12.47 14.28 12.53 14.23 12.59 14.18 12. 65 19 20 15.09 13.12 15.04 13.19 14.98 13.25 14.92 13.32 20 21 15.85 13.78 15.79 13.85 15.73 13.92 15. 67 13.98 21 22 16. 60 14.43 16. 54 14.51 16. 48 14.58 16.41 14. 65 22 23 17.36 15.09 17.29 15.16 17.23 15.24 17.16 15.32 23 24 18.11 15.75 18.04 15.82 17.97 15.90 17.91 15.98 24 25 18.87 16. 40 18.80 16.48 18.72 16.57 18. 65 16.65 25 26 19. 62 17.06 19.55 17.14 19.47 17.23 19.40 17.31 26 27 20.38 17.71 20.30 17.80 20.22 17.89 20.14 17.98 27 28 21.13 18. 37 21.05 18. 46 20.97 18.55 20.89 18.64 28 29 21.89 19.03 21.80 19.12 21.72 19.22 21.64 19.31 29 30 22.64 19.68 22.56 19.78 22.47 19.88 22.38 19.98 30 31 23.40 20.34 23.31 20.44 23.22 20.54 23.13 20.64 31 32 24.15 20.99 24.06 21.10 23.97 21.20 23.87 21.31 32 33 24.91 21.65 24.81 21.76 24.72 21.87 24.62 21.97 33 34 25.66 22.31 25. 56 22.42 25. 46 22.53 25.37 22. 64 34 35 26.41 22.96 26.31 23.08 26.21 23.19 26. 11 23.31 35 36 27.17 23. 62 27.07 23.74 26.96 23.85 26. 86 23.97 36 37 27.92 24.27 27.82 24.40 27.71 24.52 27. 60 24.64 37 38 28. 68 24.93 28.57 25.06 28.46 25.18 28. 35 25.30 38 39 29.43 25.59 29.32 25.71 29.21 25.84 29.10 25. 97 39 40 30.19 26.24 30.07 26.37 29.96 26. 50 29.84 26.64 40 41 30.94 26. 90 30.83 27.03 30.71 27.17 30.59 27.30 41 42 31.70 27. 55 31.58 27.69 31.46 27.83 31.33 27.97 42 43 32.45 28. 21 32.33 28.35 32.21 28.49 32.08 28. (53 43 44 33.21 28.87 33. 08 29.01 32.95 29.16 32.83 29.30 44 45 33. 96 29.52 33.83 29.67 33.70 29.82 33.57 29.97 45 46 34.72 30.18 34. 58 30.33 34. 45 30.48 34.32 30. (3 46 47 35.47 30.83 35.34 30.99 35. 20 31.14 35.06 31.30 47 48 36.23 31.49 36. 09 31.65 35.95 31.81 35.81 31.96 48 49 36.98 32.15 36.84 32. 31 36. 70 32.47 36. 56 32. 63 49 50 37.74 32.80 37.59 32. 97 37.45 33.13 37.30 33.29 50 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. s I 49. 48^. 48X 2 . 48M- 5 90 TABLE 4. TRAVERSE TABLE. g 41. # 41J^. 41%. b K I 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 38.49 33.46 38. 34 33.63 38.20 33.79 38.05 33.96 51 52 39.24 34.12 39. 10 34.29 38.95 34. 46 38.79 34.63 52 53 40.00 34.77 39.85 34.95 39.69 35.12 39.54 35.29 53 54 40.75 35.43 40.60 35.60 40.44 35.78 40.29 35.96 54 55 41.51 36. 08 41.35 36.26 41.19 36.44 41.03 36.62 55 56 42.26 36.74 42.10 36. 92 41.94 37.11 41.78 37.29 56 57 43.02 37. 40 42.85 37.58 42. 69 37.77 42.53 37.96 57 58 43.77 38. 05 43.61 38.24 43.44 38.43 43. 27 38. 62 58 59 44.53 38.71 44. 36 38.90 44.19 39.09 44.02 39. 29 59 GO 45.28 39.36 45.11 39.56 44.94 39.76 44.76 39.95 60 61 46.04 40.02 45.86 40.22 45. 69 40.42 45.51 40.62 61 62 46.79 40.68 46. 61 40.88 46.44 41.08 46.26 41.28 62 63 47. 55 41. 33 47.37 41.54 47.18 41.75 47.00 41.95 63 64 48. 30 41.99 48.12 42.20 47.93 42.41 47.75 42.62 64 65 49. 06 42.64 48.87 42.86 48.68 43.07 48.49 43.28 65 66 49.81 43.30 49. 62 43. 52 49.43 43.73 49.24 43.95 66 67 50.57 43. 96 50.37 44.18 50.18 44.40 49.99 44.61 67 68 51.32 44.61 51.13 44.84 50. 93 45.06 50. 73 45.28 68 69 52. 07 45.27 51.88 45.49 51.68 45. 72 51.48 45. 95 69 70 52.83 45.92 52.63 46.15 52.43 46.38 52. 22 46.61 70 71 53.58 46.58 53.38 46.81 53.18 47.05 52.97 47.28 71 72 54.34 47.24 54.13 47.47 53.92 47.71 53.72 47. 94 72 73 55. 09 47.89 54.88 48. 13 54.67 48. 37 54. 46 48. 61 73 74 55.85 48. 55 55. 64 48.79 55.42 49.03 55.21 49.28 74 75 56. 60 49.20 56.39 49.45 56. 17 49.70 55.95 49.94 75 76 57. :5 49.86 57.14 50.11 56.92 50. 36 56. 70 50. 61 76 77 58. 11 50. 52 57.89 50.77 57. 67 51.02 57.45 51.27 77 78 58.87 51.17 58.64 51. 43 58.42 51. 68 58.19 51.94 78 79 59.62 51.83 59.40 52.09 59.17 52.35 58.94 52. 60 79 80 60.38 52.48 60.15 52.75 59.92 53.01 59.68 53.27 80 81 61.13 53.14 60.90 53.41 60.67 53.67 60.43 53.94 81 82 61.89 53.80 61.65 54.07 61.41 54.33 61.18 54.60 82 83 62.64 54.45 62.40 54.73 62.16 55.00 61.92 55.27 83 84 63.40 55. 11 63.15 55.39 62. 91 55.66 62.67 55.93 84 85 64.15 55.77 63.91 56. 04 63.66 56.32 63.41 56. 60 85 86 64.91 56.42 64.66 56.70 64.41 56.99 64.16 57. 27 86 87 65. 66 57.08 65.41 57. 36 65.16 57.65 64.91 57.93 87 88 66. 41 57. 73 66. 16 58.02 65.91 58.31 65.65 58.60 88 89 67. 17 58. 39 66.91 58. 68 66.66 58.97 66.40 59.26 89 90 67.92 59.05 67. 67 59.34 67.41 59.64 67.15 59.93 90 91 68. 68 59.70 68.42 60.00 68.15 60.30 67.89 60.60 91 92 69. 43 60.36 69.17 60. 66 68.90 60.96 68. 64 61. 26 92 93 70.19 61. 01 69. 92 61.32 69.05 91.62 G9.38 61.93 93 94 70. 91 61. 67 70.67 61.98 70.40 62. 29 70.13 62. 59 94 95 71.70 62. 33 71.43 62.64 71.15 62.95 70.88 63. 26 95 96 72.45 62.98 72.18 63.30 71.90 63.61 71.62 63. 92 96 97 73.21 63.64 72.93 63. 96 72.65 64.27 72.37 64.59 97 98 73.96 64.29 73.68 64.62 73.40 64.94 73.11 65.26 98 99 74.72 64.95 74. 43 65.28 74.15 65.60 73.86 65.92 99 100 75.47 65.61 75.18 65.93 74.90 66.26 74. 61 66.59 100 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 8 g 1 3 p 49. 48%. 48K- 48J4. "on s 91 TABLE 4. -TRAVERSE TABLE. b F 42. 42^. 42^. 42%. b ET P" 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. B i 0.74 0.67 0.74 0.67 0.74 0.68 0.73 0.68 i 2 1.49 1.34 1.48 1.34 1.47 1.35 1.47 1.36 2 3 2.23 2.01 2.22 2.02 2.21 2.03 2.20 2.04 3 4 2.97 2.68 2.96 2.69 2.95 2.70 2.94 2.72 4 5 3.72 3.35 3.70 3.36 3.69 3.38 3. 67 3.39 5 6 4.46 4.01 4.44 4.03 4.42 4.05 4.41 4.07 6 7 5.20 4.68 5.18 4.71 5.16 4.73 5.14 4.75 7 8 5.95 5.35 5.92 5.38 5.90 5.40 5.87 5.43 8 9 6.69 6.02 6.66 6.05 6.64 6.08 6.61 6.11 9 10 7.43 6.69 7.40 6.72 7.37 6.76 7.34 6.79 10 11 8.17 7.36 8.14 7.40 8.11 7.43 8.08 7.47 11 12 8.92 8.03 8.88 8.07 8.85 8.11 8.81 8.15 12 13 9.66 8.70 9.62 8.74 9.58 8.78 9.55 8.82 13 14 10.40 9.37 10.36 9.41 10.32 9.46 10.28 9.50 14 15 11.15 10.04 11.10 10.09 11. 06 10. 13 11.01 10.18 15 16 11.89 10.71 11.84 10. 76 11.80 10.81 11.75 10.86 16 17 12. 63 11.38 12. 58 11.43 12.53 11. 49 12.48 11.54 17 18 13.38 12.04 13. 32 12.10 13.27 12. 16 13.22 12. 22 18 19 14.12 12.71 14.06 12.77 14.01 12.84 13.95 12.90 19 20 14.86 13.38 14.80 13. 45 14.75 13.51 14.69 13.58 20 21 15.61 14.05 15.54 14.12 15.48 14.19 15.42 14.25 21 22 16. 35 14.72 16.28 14.79 16.22 14.86 1(5. 16 14.93 22 23 17.09 15.39 17.03 15. 46 16. 96 15.54 16.89 15.61 23 24 17.84 16. 06 17.77 16. 14 17. 69 16. 21 17. 62 16.29 24 25 18.58 16.73 18.51 16.81 18.43 16.89 18.36 16.97 25 26 19. 32 17.40 19.25 17.48 19. 17 17.57 19.09 17. 65 26 27 20.06 18. 07 19.99 18.15 19.91 18.24 19.83 18. 33 27 28 20.81 18.74 20.73 18.83 20.64 18.92 20. 56 19.01 28 29 21. 55 19.40 21.47 19.50 21.38 19.59 21.30 19. f>9 29 30 22.29 20.07 22.21 20.17 22.12 20.27 22.03 20.36 30 31 23.04 20.74 22.95 20.84 22.86 20.94 22. 76 21.04 31 32 23. 78 21.41 23. 69 21.52 23.59 21. 62 23.50 21.72 32 33 24.52 22.08 24.43 22. 19 24.33 22.29 24.23 22.40 33 34 25.27 22.75 25.17 22.86 25.07 22.97 24. 97 23.08 34 35 26.01 23.42 25.91 23.53 25.80 23.65 25.70 23.76 35 36 26.75 24.09 26.65 24.21 26.54 24.32 26.44 24. 44 36 37 27.50 24.76 27.39 24.88 27.28 25.00 27.17 25.12 37 38 28.24 25.43 28.13 25.55 28.02 25. 67 27.90 25.79 38 39 28.98 26.10 28.87 26.22 28.75 26. 35 28.64 26.47 39 40 29.73 26. 77 29.61 26.89 29.49 27.02 29.37 27.15 40 41 30.47 27.43 30.35 27.57 30. 23 27.70 30.11 27.83 41 42 31. 21 28.10 31.09 28.24 30.97 28.37 30.84 28.51 42 43 31. 96 28.77 31.83 28.91 31.70 29.05 31.58 29.19 43 44 32.70 29.44 32. 57 29.58 32. 44 29.73 32.31 29.87 44 45 33.44 30.11 33. 31 30.26 33. 18 30. -10 33.04 30.55 45 40 34.18 30.78 34. 05 30.93 33.91 31.08 33.78 31.22 46 47 34. 93 31.45 34. 79 31.60 34. 65 31.75 34.51 31.90 47 48 35. 67 32. 12 35.53 32.27 35. 39 32. 43 35. 25 32.58 48 49 36. 41 32.79 36.27 32.95 36. 13 33. 10 35.98 33. 26 49 50 37. 16 33.46 37.01 33.62 36. 86 33.78 36.72 33.94 50 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. OJ s 48. 47M. 47?.4 . 47H- s 92 TABLE 4. TRAVERSE TABLE. 55' B> 42. 42>r- 42^. 42*i. U f P Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. re 51 37.90 34. 13 37.75 34.29 37.00 34.46 37.45 34. 62 51 52 38.64 34.79 38.49 34.96 38.34 35.13 38.18 35.30 52 53 39.39 35.46 39. 23 35.64 39.03 35.81 38.92 35.98 53 54 40.13 36. 13 39.97 36. 31 39.81 36. 48 39. 65 36. 66 54 55 40.87 36.80 40. 71 36. 98 40. 55 37. 16 40.39 37. ?3 55 56 41.62 37.47 41.45 37. 65 41.29 37.83 41.12 38.01 56 57 42. 36 38.14 42.19 38. 32 42.02 38.51 41.86 38.69 57 58 43.10 38.81 42. 93 39. 00 42.76 39.18 42. 59 39.37 58 59 43.85 39. 48 43.67 39. 67 43.50 39.86 43. 33 40.05 59 60 44.59 40.15 44.41 40. 34 44.24 40.54 44.06 40.73 60 61 45. 33 40.82 45.15 41.01 44.97 41.21 44.79 41.41 61 62 46.07 41.49 45.89 41.69 45.71 41.89 45. 53 42.09 62 63 46. 82 42. 16 46.63 42. 30 46.45 42.56 46. 26 42.76 63 64 47. 56 42.82 47. 37 43.03 47.19 43.24 47.00 43.44 64 65 48. 30 43. 49 48.11 43.70 47.92 43.91 47.73 44.12 65 66 49.05 44.16 48.85 44.38 48.66 44.59 48.47 44.80 66 67 49.79 44.83 49.59 45.05 49.40 45.26 49. 20 45.48 67 68 50.53 45.50 50.33 45. 72 50.13 45. 94 49. 93 46.16 68 69 51.28 46.17 51.08 46.39 50.87 46. 62 50.67 46.84 69 70 52.02 46.84 51.82 47.07 51.61 47.29 51.40 47.52 70 71 52.76 47.51 52.56 47.74 52.35 47.97 52.14 48.19 71 72 53.51 48.18 53. 30 48. 41 53.08 48.64 52. 87 48.87 72 73 54. 25 48.85 54.04 49.08 53.82 49. 32 53.61 49. 55 73 74 54.99 49.52 54.78 49.76 54.56 49.99 54.34 50.23 74 75 55.74 50. 18 55.52 50.43 55.30 50.67 55.07 50.91 75 76 56.48 50.85 56.26 51. 10 56.03 51.34 55.81 51.59 76 77 57.22 51.52 57.00 51.77 56.77 52.02 56.54 52.27 77 78 57.97 52.19 57. 74 52.44 57.51 52.70 57. 28 52.95 78 79 58.71 52. 86 58.48 53.12 58.24 53.37 58.01 53.63 79 80 59.45 53.53 59. 22 53.79 58.98 54.05 58.75 54.30 80 81 60.19 54.20 59.96 54.46 59.72 54.72 59.48 54.98 81 82 60. 94 54.87 60.70 55. 13 60.46 55.40 60.21 55.66 82 83 61.68 55.54 61.44 55.81 61.19 56.07 60.95 56.34 83 84 62.42 50.21 62.18 56.48 61.93 56.75 61.68 57.02 84 85 63. 17 50.88 62.92 57.15 62. 67 57.43 62. 42 57.70 85 86 63.91 57.55 63. 66 57.82 63. 41 58.10 63. 15 58.38 86 87 64.65 58.21 64.40 58.50 64.14 58.78 63.89 59.06 87 88 65.40 58.88 65.14 59.17 64. 88 59.45 64.62 59.73 88 89 66.14 59.55 65.88 59.84 65.62 60.13 65.35 60.41 89 90 66.88 60.22 66.62 60.51 66.35 60.80 66.09 61.09 90 91 67.63 60.89 67.36 61.19 67.09 61.48 66.82 61.77 91 92 68.37 61.56 68.10 61.86 67.83 .62. 15 67. 56 62.45 92 93 69.11 62.23 68.84 62.53 68.57 62.83 68.29 63.13 93 94 69.86 62.90 69.58 63.20 69.30 63.51 69.03 63.81 94 95 70.60 63.57 70.32 63.87 70.04 64.18 69. 76 64.49 95 96 71.34 64.24 71.06 64.55 70.78 64. 86 70.49 65.16 96 97 72.09 64. 91 71.80 65.22 71.52 65.53 71.23 65.84 97 98 72.83 65.57 72.54 65.89 72.25 66.21 71.96 66.52 98 99 73.57 66.24 73.28 66.56 72.99 66.88 72.70 67.20 99 100 74.31 66.91 74.02 67.24 73.73 67.56 73.43 67.88 100 | Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i 3 o B co tfl Q 48. 47?r. 47M. 47M- 5 93 TABLE 4. TRAVERSE TABLE. g 43. 43M- 431^. 43^. K I I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P i 0.73 0.68 0.73 0.69 0.73 0.69 0.72 0.69 1 2 1.46 1.36 1.46 1.37 1.45 1.38 1.44 1.38 2 3 2.19 2.05 2.19 2.06 2.18 2.07 2.17 2.07 3 4 2.93 2.73 2.91 2.74 2.90 2.75 2.89 2.77 4 5 3.66 3.41 3.64 3.43 3.63 3.44 3. 61 3.46 5 6 4.39 4.09 4.37 4.11 4.35 4.13 4.33 4.15 6 7 5.12 4.77 5.10 4.80 5.08 4.82 5.06 4.84 7 8 5.85 5.46 5.83 5.48 5.80 5.51 5. 78 5.53 8 9 6.58 6.14 6.56 6.17 6.53 6.20 6. 50 6.22 9 10 7.31 6.82 7.28 6.85 7.25 6.88 7.22 6.92 10 11 8.04 7.50 8.01 7.54 7.98 7.57 7.95 7.61 11 12 8.78 8.18 8.74 8.22 8.70 8.26 8.67 8.30 12 13 9.51 8.87 9.47 8.91 9.43 8.95 9.39 8.99 13 14 10.24 9.55 10.20 9.59 10.16 9.64 10.11 9.68 14 15 10.97 10.23 10.93 10.28 10.88 10.33 10.84 10.37 15 16 11.70 10.91 11.65 10.96 11.61 11.01 11; 86 11.06 16 17 12. 43 11. 59 12.38 11.65 12.33 11.70 12.28 11. 76 17 18 13. 16 12. 28 13.11 12. 33 13. 06 12.39 13. 00 12.45 18 19 13.90 12.96 13.84 13.02 13.78 13.08 13.72 13.14 19 20 14.63 13. 64 14.57 13.70 11. 51 13.77 14.45 13.83 20 21 15. 36 14.32 15.30 14.39 15.23 14.46 15.17 14.52 21 22 16.09 15.00 16.02 15.07 15.96 15.14 15.89 15.21 22 23 16.82 15.69 16.75 15.76 16.68 15.83 16. 61 15. 90 23 24 17. 55 16. 37 17.48 16.44 17.41 16. 52 17.34 16. 60 24 25 18.28 17.05 18.21 17.13 18.13 17.21 18. 06 17. 29 25 20 19.02 17.73 18.94 17.81 18.86 17.90 18.78 17.98 26 27 19.75 18.41 19.67 18.50 19.59 18.59 19.50 18.67 27 28 20.48 19.10 20.39 19.19 20.31 19.27 20.23 19. 36 28 29 21.21 19.78 21. 12 19.87 21.04 19. 96 20.95 20.05 29 30 21.94 20.46 2L85 20.56 21.76 20.65 21.67 20.75 30 31 22.67 21.14 22.58 21.24 22.49 21.34 22.39 21.44 31 32 23. 40 21.82 23. 31 21.93 23.21 22. 03 23.12 22.13 32 33 24. 13 22.51 24.04 22. 61 23.94 22.72 23. 84 22.82 33 34 24.87 23.19 21. 76 23. 30 24. 66 23. 40 24. 56 23. 51 34 35 25. 00 23.87 25.49 23.98 25. 39 24. 09 25.28 24.20 35 30 26. 33 24.55 26.22 24.67 26.11 24.78 26. 01 24.89 36 37 27. 06 25. 23 26. 95 25. 35 26.84 25. 47 26. 73 25.59 37 38 27.79 25.92 27. 68 26.04 27.56 26.16 27. 45 26. 28 38 39 28.52 26.60 28. 41 26.72 28.29 26. 85 28.17 26. 97 39 40 29.25 27.28 29.13 27.41 29.01 27.53 28. 89 27.66 40 41 29.99 27.96 29.86 28.09 29.74 28.22 29.62 28.35 41 42 30.72 28. 64 30.59 28.78 30.47 28.91 30. 34 29.04 42 43 31.45 29. 33 31.32 29. 46 31.19 29.60 31.06 29.74 43 44 32.18 30.01 32. 0-5 30.15 31.92 30.29 31. 78 30.43 44 45 32. 91 30. 69 32. 78 30.83 32.64 30.98 32. 51 31.12 45 4fi 33. C4 31.37 33.51 31.52 33. 37 31.66 33.23 31. 81 46 47 34.37 32.05 34.23 32.20 34.09 32.35 33. 95 32. 50 47 48 35.10 32.74 34.96 32.89 34.82 33.04 34. 67 33.19 48 49 35. 84 33. 42 35. 69 33.57 35. 54 33. 73 35. 40 33.88 49 50 36.57 34.10 36.42 34.26 36.27 34.42 36.12 34.58 50 9 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. | 5 03 ft 47. 46^. 46H. 46M. i a 94 TABLE 4. TRAVERSE TABLE. 43. wjj 43^. 43M- b 1 1 p Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 8 51 37.30 34.78 37.15 34.94 36.99 35.11 36.84 35. 27 51 52 38.03 35.46 37.88 35. 63 37.72 35.79 37. 56 35. 96 52 53 38.76 36. 15 38.60 36. 31 38.44 36. 48 38.29 36. 65 53 54 39.49 36.83 39. 33 37.00 39.17 37.17 39.01 37.34 54 55 40.22 37.51 40.06 37.69 39.90 37. 86 39.73 38.03 55 56 40.96 38.19 40.79 38.37 40. G2 38.55 40. 45 38.72 56 57 41.69 38.37 41.52 39.06 41. 35 39.24 41.17 39.42 57 58 42.42 39. 56 42. 25 39.74 42.07 39. 92 41.90 40.11 58 59 43.15 40.24 42. 97 40. 43 42.80 40.61 42.62 40.80 59 GO 43.88 40.92 43.70 41.11 43.52 41.30 43.34 41.49 60 61 44.61 41.60 44.43 41.80 44.25 41.99 44.06 42.18 61 62 45.34 42.28 45.16 42.48 44.97 42.68 44.79 42.87 62 63 46. 08 42.97 45.89 43.17 45.70 43.37 45.51 43. 57 63 64 46.81 43.65 46.62 43.85 46.42 44.05 46.23 44.26 64 65 47. 54 44.33 47.34 44.54 47.15 44.74 46.95 44.95 65 66 48.27 45. 01 48.07 45. 22 47.87 45.43 47.68 45.64 66 67 49.00 45.69 48.80 45.91 48.60 46.12 48.40 46. 33 67 68 49.73 46.38 49.53 46.59 49.33 46.81 49.12 47.02 68 69 50. 46 47.06 50.26 47.28 50. 05 47.50 49.84 47.71 69 70 51.19 47.74 50.99 47.96 50.78 48.18 50.57 48.41 70 71 51.93 48.42 51.71 48. 65 51.50 48.87 51.29 49.10 71 72 52.66 49.10 52. 44 49.33 52.23 49.56 52. 01 49.79 72 73 53.39 49.79 53.17 50.02 52.95 50.25 52.73 50.48 73 74 54.12 50.47 53.90 50.70 53.68 50.94 53.45 51.17 74 75 54.8.5 51. 15 54.63 51.39 54.40 51.63 54.18 51.86 75 76 55.58 51.83 55.36 52.07 55.13 52.31 54.90 52.55 76 77 56.31 52.51 56.08 52.76 55.85 53.00 55.62 53.25 77 78 57.05 53.20 56.81 53.44 56.58 53. G9 56.34 53.94 78 79 57.78 53.88 57.54 54.13 57.30 54.38 57.07 54.63 79 80 58.51 54.56 58.27 54.81 58.03 55.07 57.79 55.32 80 81 59.24 55.24 59.00 55.50 58.76 55.76 58.51 56.01 81 82 59.97 55. 92 59.73 56. 19 59.48 56.45 59.23 56.70 82 83 60.70 56.61 60.45 56.87 60.21 57.13 59.96 57.40 83 84 61. 43 57.29 61.18 57.56 60.93 57.82 60.68 58.09 84 85 62.17 57.97 61.91 58. 24 61.66 58. 51 61.40 58.78 85 86 62.90 58.65 62.64 58. 93 62.38 59.20 62.12 59.47 86 87 63.63 59.33 63.37 59.61 63.11 59.89 62.85 60.16 87 88 64.36 60.02 64.10 60.30 63.83 60.58 63.57 60.85 88 89 65.09 60.70 64.82 60.98 64.56 61.26 64.29 61.54 89 90 65.82 61.38 65.55 61.67 65.28 61.95 65.01 62.24 90 91 66. 55 62.06 66.28 62.35 66.01 62.64 65.74 62.93 91 92 67.28 62.74 67.01 63.04 66.73 63.33 66.46 63.62 92 93 68. 02 63.43 67.74 63.72 67.46 64.02 67.18 64.31 93 94 68.75 64.11 68.47 64.41 68. 19 64.71 67.90 65.00 94 95 69.48 64.79 69.20 65.09 68.91 65.39 68.62 65.69 95 96 70.21 65.47 69.92 65.78 69.64 66.08 69.35 66.39 96 97 70.94 66.15 70.65 66.46 70.36 66.77 70.07 67.08 97 98 71.67 66.84 71.38 67.15 71.09 67.46 70.79 67.77 98 99 72.40 67.52 72.11 67.83 71.81 68.15 71.51 68.46 99 100 73.14 68.20 72.84 68.52 72.54 68.84 72.24 69.15 100 8 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 8 I i ft 47. 46M. 46X 2 . 46M- -3 ft 95 TABLE 4. -TRAVERSE TABLE. d 44. * * 1 x4 45. d 55' S" 5 3 p Lat. Dep. Lat. Dep. Lat. Dop. Lat. Dep. Lat. Dep. P i 0.72 0.69 0.72 0.70 0.71 0.70 0.71 0.70 0.71 0.71 i 2 1.44 1.39 1.43 1.40 1.43 1.40 1.42 1.41 1.41 1.41 2 3 2.16 2.08 2.15 2.09 2.14 2.10 2.13 2.11 2.12 2.12 3 4 2.88 2.78 2.87 2.79 2.85 2.80 2.84 2.82 2.83 2.83 4 5 3.60 3.47 3.58 3.49 3.57 3.50 3.55 3.52 3.54 3.54 5 6 4.32 4.17 4. 30 4.19 4.28 4.21 4.26 4.22 4.24 4.24 6 7 5.04 4.86 5.01 4.88 4.99 4.91 4.97 4.93 4.95 4.95 7 8 5.75 5.56 5.73 5.58 5.71 5.61 5.68 5. (33 5.66 5.66 8 9 6.47 6.25 6.45 6.28 6.42 6.31 6.39 6.34 6.36 6.36 9 10 7.19 6.95 7.16 6.98 7.13 7.01 7.10 7.04 7.07 7.07 10 11 7.91 7.64 7.8-8 7.68 7.85 7.71 7.81 7.74 7.78 7.78 11 12 8.63 8.34 8.60 8.37 8. 56 8.41 8.52 8.45 8.49 8. 49 12 13 9.35 9.03 9.31 9.07 9.27 9.11 9.23 9.15 9.19 9.19 13 i 14 10.07 9.73 10.03 9.77 9.99 9.81 9.94 9.86 9.90 9.90 14 15 10.79 10.42 10.74 10.47 10. 70 10.51 10.65 10.56 10. 61 JO. 61 15 ! 16 11.51 11. 11 11.46 11.16 11.41 11.21 11.36 11.26 11.31 11.31 10 17 12.23 11.81 12.18 11.86 12. 13 11.92 12.07 11.97 12.02 12. 02 17 18 12.95 12.50 12.89 12.56 12! 84 12.62 12.78 12.67 12.73 12.73 i 18 19 13.67 13. 20 13.61 13.26 13.55 13.32 13.49 13. 38 13.44 13.44 19 20 14.39 13.89 14.33 13.96 14.27 14.02 14.20 14.08 14.14 14. 14 20 21 15.11 14.59 15.04 14.65 14.98 14.72 14.91 14.78 14.85 14. 85 21 22 15. 83 15.28 15.76 15. 35 15.69 15.42 15.62 15.49 15.56 15.56 22 23 16.54 15.98 16.47 16.05 16.40 16.12 16.33 16.19 16.26 16. 26 23 24 17.26 16. 67 17.19 16.75 17.12 16.82 17.04 16. 90 16.97 16.97 24 25 17.98 17.37 17.91 17.44 17.83 17.52 17.75 17.60 17.68 17. 08 25 26 18.70 18.06 18.62 18.14 18.54 18.22 18.46 18.30 18.38 18.38 26 27 19.42 18. 76 19.34 18.84 19.26 18.92 19.18 19.01 19.09 19.09 1 27 28 J20.14 19.45 20.06 19.54 19.97 19.63 19.89 19.71 19.80 19.80 i 28 29 20. 86 20.15 20.77 20.24 20.68 20.33 20.60 20.42 20.51 20.51 29 30 21.58 20.84 21.49 20.93 21.40 21.03 21.31 21.12 21.21 21.21 30 31 22.30 21. 53 22.21 21.63 22.11 21.73 22.02 21.82 21.92 21.92 ! 31 32 23.02 22.23 22.92 22.33 22.82 22.43 22.73 22.53 22. G3 22.63 ! 32 33 23. 74 22.92 23.64 23.03 23.54 23.13 23.44 23.23 23. 33 23.33 ! 33 34 24.40 23.62 24.35 23. 72 24.25 23.83 24.15 23.94 24. 04 24.04 1 34 35 25.18 24.31 25.07 24.42 24.96 24.53 24.86 24.64 24.75 24.75 ! 35 36 25.90 25.01 25.79 25. 12 25.68 25.23 25. 57 25.34 25.46 25.46 | 36 37 26.62 25.70 26.50 25.82 26. 39 25.93 26.28 26. 05 26.16 20. 16 37 38 27. 33 26.40 27.22 20.52 27.10 26.63 26.99 26.75 26.87 26. 87 38 39 28.05 27.09 27.94 27.21 27.82 27.34 27.70 27.46 27.58 27.58 39 40 28.77 27.79 28.65 27.91 28.53 28.04 28.41 28.16 28.28 28. 28 40 41 29.49 28.48 29.37 28.61 29.24 28.74 29.12 28.86 28.99 28.99 41 42 30.21 29.18 30. 08 29.31 29.96 29.44 29. S3 29.57 29.70 29.70 42 43 30.93 29.87 30.80 30.00 30.67 30.14 30.54 30.27 30.41 30.41 43 44 31.65 30.56 31.52 30.70 31.38 30.84 31.25 30.98 31.11 31.11 44 45 32.37 31.26 32. 23 31.40 32.10 31.54 31.96 31.68 31.82 31.82 45 46 33.09 31.95 32.95 32.10 32.81 32. 24 32.67 32.38 32.53 32.53 46 47 133.81 32.65 33.67 32.80 33. 52 32.94 ; 33.38 33.09 33.23 33. 23 47 48 34.53 33.34 34.38 33.49 34.24 33. 64 34. 09 33.79 33. 94 33.94 48 49 35. 25 34.04 35. 10 34.19 34.95 31. 34 34.80 34.50 34.65 34. 65 49 50 35.97 34.73 35.82 34.89 35.66 35.05 35.51 35.20 35.36 35.36 50 Q) Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. I c3 5 46. 453^. 45^. 45M. 45. 1 3 96 TABLE 4.-TRAVERSE TABLE. b B 44. 44M. 44^. 44^. 45. Ef P" 1 8 Lat, Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 51 36. 69 35.43 36.53 35.59 36.38 35.75 36.22 35.90 36.06 36. 06 51 52 37. 41 30.12 37. 25 36.29 37.09 36.45 36. 93 36.61 36. 77 36. 77 52 53 138.13 30. 82 37.96 36.98 37.80 37.15 37.64 37. 31 37.48 37.48 53 54 38.84 37.51 38.08 37.08 38.52 37.85 38.35 38.02 38.18 38.18 54 55 39.56 38. 21 39. 40 38. 38 39.23 38.55 39. 00 38.72 38.89 38.89 55 50 40.28 38.90 40. 11 39.08 39.94 39.25 39.77 39.42 39. CO 39. CO 56 57 41.00 39. CO 40.83 39.77 40. 06 39.95 40.48 40.13 40.31 40. 31 57 58 41.72 40.29 11.55 40.47 41.37 40. 05 41. 19 40.83 41.01 41.01 58 59 42.44 40.98 42.26 41.17 42.08 41.35 41.90 41.54 41.72 41.72 59 CO 43.16 41.68 42.98 41.87 42.80 42.05 42.61 42.24 42.43 42.43 60 Cl 43.88 42.37 43.69 42.57 43.51 42.76 43.32 42.94 43.13 43.13 61 02 144.60 43.07 44.41 43. 26 44.22 43.46 44. 03 43. 65 43.84 43.84 62 C3 |45.32 43. 76 45.13 43.96 44.93 44.16 44.74 44.35 44. 55 44.55 63 C4 40.04 44.46 45.84 44. 06 45.05 44.86 45.45 45.06 45.25 45.25 64 05 46.76 45. 15 46.56 45. 36 40.36 45.56 40.10 45. 76 45. 96 45.96 65 CG 47.48 45.85 47.28 46. 05 47.07 46. 26 46. 87 46.46 46.67 40. 67 66 G7 48.20 46.54 47.99 46.75 47.79 46.90 47.58 47.17 47.38 47.38 (-7 C8 48.92 47.24 48.71 47.45 48.50 47. 66 48. 29 47.87 48.08 48. 08 C8 69 49. 03 47.93 49.42 48.15 49.21 48. 36 49.00 48.58 48.79 48.79 C9 70 50.35 48.03 50.14 48.85 49.93 49.06 49.71 49.28 49.50 49.50 70 71 51.07 49.32 50.86 49.54 50. 04 49.76 50.42 49.99 50.20 0.20 71 72 151.79 50.02 51.57 50.24 51.35 50.47 51.13 50.69 50.91 50.91 72 73 52.51 50.71 52.29 50.94 52.07 51.17 51.84 51.39 51.62 51.02 73 74 53. 23 51.40 53.01 51.64 52. 78 51.87 52. 55 52.10 52.33 52.33 74 75 53.95 52.10 53. 72 52.33 53.49 52.57 53.26 52.80 53.03 53. 03 75 76 54. 07 52.79 54.44 53.03 54.21 53.27 53.97 53.51 53.74 53.74 76 77 55.39 53.49 55.16 53.73 54.92 53.97 54.68 54. 21 54.45 54.45 77 78 56.11 54.18 55.87 54.43 55.63 54. 67 55.39 54.91 55.15 55. 15 78 79 56. S3 54.88 56. 59 55.13 56.35 55.37 56.10 55.62 55.86 55.86 79 80 57. 55 55.57 57.30 55.82 57.06 56.07 56.81 56.32 56.57 56.57 80 81 58.27 56. 27 58.02 56.52 57.77 56.77 57.53 57.03 57.28 57.28 81 82 58.99 56.96 58.74 57.22 58.49 57.47 58.24 57.73 57.98 57.98 82 83 59.71 57.06 59.45 57.92 59.20 58.18 58.95 58.43 58. 69 58.69 83 84 CO. 42 58.35 CO. 17 58.61 59.91 58.88 59.66 59.14 59.40 59.40 84 85 61.14 59.05 00.89 59.31 60.63 59.58 60.37 59.84 60.10 60.10 85 86 61.86 59.74 01. 00 60.01 61.34 60.28 61.08 60. 55 60.81 60.81 86 87 !62.58 60.44 02.32 60. 71 62.05 60.98 61.79 61.25 61.52 61. 52 87 88 03.30 61.13 03. 03 61.41 62.77 61.68 62.50 61.95 62.23 62.23 88 89 64. 02 61.82 03.75 62.10 63.48 62.38 63.21 62. 66 62.93 62. 93 89 90 64. 74 62.52 64.47 62.80 64.19 03.08 63.92 63. 36 63.64 63.64 90 91 65.46 63.21 65.18 63.50 64.91 63.78 64.63 64.07 64.35 64.35 91 92 66.18 63.91 65. 90 64. 20 65.62 64.48 65.34 64.77 65. 05 65.05 92 93 66.90 64. 00 66. 62 64.89 66.33 65.18 66.05 65.47 65.76 65.76 93 94 67.62 65.30 67. 33 65.59 67.05 65. 89 66.76 66.18 66.47 66.47 94 95 168.34 65.99 68.05 66.29 67. -76 66.59 67.47 66.88 67.18 67.18 95 96 69.06 66.69 68.76 66.99 68.47 67.29 68.18 67.59 67.88 67.88 96 97 169.78 67.38 69. 48 67.69 69.19 67.99 68.89 68.29 68.59 68.59 97 98 ;70.50 68.08 70.20 68. 38 69.90 68.69 69.60 68.99 69.30 69. 30 98 99 71.21 68.77 70.91 69.08 70. 01 69.39 70.31 69.70 70.00 70.00 99 100 71.93 69.47 71.63 69. 78 71.33 70.09 71.02 70.40 70.71 70.71 100 T Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. s i c i 5 46. 45%. 45^. 45i. 45. s 4147910 7 97 TABLE 5. CORRECTION OF ERROR IN STADIA WIRE INTERVAL. Distance in chains. 0133456789 1O Error in Links. 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 0.0 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.0 0.0 0.4 0.8 1.2 1.6 2.0 2.4 2.8 3.2 3.6 4.0 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 0.0 0.6 1.2 1.8 2.4 3.0 3.6 4.2 4.8 5.4 6.0 0.0 0.7 1.4 2.1 2.8 3.5 4.2 4.9 5.6 6.3 7.0 0.0 0.8 1.6 2.4 3.2 4.0 4.8 5.6 6.4 7.2 8.0 0.0 0.9 1.8 2.7 3.6 4.5 5.4 6.3 7.2 8.1 9.0 0.0 .0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 0.0 .1 2.2 3.3 4.4 5.5 6.6 7.7 8.8 9.9 11.0 0.0 .2 2.4 3.6 4.8 6.0 7.2 8.4 9.6 10.8 12.0 0.0 .3 2.6 3.9 5.2 6.5 7.8 9.1 10.4 11.7 13.0 0.0 .4 2.8 4.2 5.6 7.0 8.4 9.8 11.2 12.6 14.0 0.0 .5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 0.0 .6 3.2 4.8 6.4 8.0 9.6 11.2 12.8 14.4 16.0 0.0 .7 3.4 5.1 6.8 8.5 10.2 11.9 13.6 15.3 17.0 0.0 .8 3.6 5.4 7.2 9.0 10.8 12.6 14.4 16.2 18.0 0.0 .9 3.8 5.7 7.6 9.5 11.4 13.3 15.2 17.1 19.0 0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0 0.0 2.1 4.2 6.3 8.4 10.5 12.6 14.7 16.8 18.9 21.0 0.0 2.2 4.4 6.6 8.8 11.0 13.2 15.4 17.6 19.8 22.0 0.0 2.3 4.6 6.9 9.2 11.5 13.8 16.1 18.4 20.7 23.0 0.0 2.4 4.8 7.2 9.6 12.0 14.4 16.8 19.2 21.6 24.0 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 0.0 2.6 5.2 7.8 10.4 13.0 15.6 18.2 20.8 23.4 26.0 0.0 2.7 5.4 8.1 10.8 13.5 16.2 18.9 21.6 24.3 27.0 0.0 2.8 5.6 8.4 11.2 14.0 16.8 19.6 22.4 25.2 28.0 0.0 2.9 5.8 8.7 11.6 14.5 17.4 20.3 23.2 26.1 29.0 0.0 3.0 6.0 9.0 12.0 15.0 18.0 21.0 24.0 27.0 30.0 Distance in chains. 1O 11 12 13 14 15 16 17 18 19 2O Error in links. 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 3.0 3.3 3.6 3.9 4.2 4.5 4.8 5.1 5.4 5.7 6.0 4.0 4.4 4.8 5.2 5.6 6.0 6.4 6.8 7.2 7.6 8.0 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5 10.0 6.0 6.6 7.2 7.8 8.4 9.0 9.6 10.2 10.8 11.4 12.0 7.0 7.7 8.4 9.1 9.8 10.5 11.2 11.9 12.6 13.3 14.0 8.0 8.8 9.6 10.4 11.2 12.0 12.8 13.6 14.4 15.2 16.0 9.0 9.9 10.8 11.7 12.6 13.5 14.4 15.3 16.2 17.1 18.0 10.0 11.0 12.0 13.0 14.0 15.0 16.0 17.0 18.0 19.0 20.0 11.0 12.1 13.2 14.3 15.4 16.5 17.6 18.7 19.8 20.9 22.0 12.0 13.2 14.4 15.6 16.8 18.0 19.2 20.4 21.6 22.8 24.0 13.0 14.3 15.6 16.9 18.2 19.5 20.8 22.1 23.4 24.7 26.0 14.0 15.4 16.8 18.2 19.6 21.0 22.4 23.8 25.2 26.6 28.0 15.0 16.5 18.0 19.5 21.0 22.5 24.0 25.5 27.0 28.5 30.0 16.0 17.6 19.2 20.8 22.4 24.0 25.6 27.2 28.8 30.4 32.0 17.0 18.7 20.4 22.1 23.8 25.5 27.2 28.9 30.6 32.3 34.0 18.0 19.8 21.6 23.4 25.2 27.0 28.8 30.6 32.4 34.2 36.0 19.0 20.9 22.8 24.7 26.6 28.5 30.4 32.3 34.2 36.1 38.0 20.0 22.0 24.0 26.0 28.0 30.0 32.0 34.0 36.0 38.0 40.0 21.0 23.1 25.2 27.3 29.4 31.5 33.6 35.7 37.8 39.9 42.0 22.0 24.2 26.4 28.6 30.8 33.0 35.2 37.4 39.6 41.8 44.0 23.0 25.3 27.6 29.9 32.2 34.5 36.8 39.1 41.4 43.7 46.0 24.0 26.4 28.8 31.2 33.6 36.0 38.4 40.8 43.2 45.6 48.0 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 26.0 28.6 31.2 33.8 36.4 39.0 41.6 44.2 46.8 49.4 52.0 27.0 29.7 32.4 35.1 37.8 40.5 43.2 45.9 48.6 51.3 54.0 28.0 30.8 33.6 36.4 39.2 42.0 44.8 47.6 50.4 53.2 56.0 29.0 31.9 34.8 37.7 40.6 43.5 46.4 49.3 52.2 55.1 58.0 30.0 33.0 36.0 39.0 42.0 45.0 48.0 51.0 54.0 57.0 60.0 98 TABLE 6. STADIA COEFFICIENTS, VERTICAL ROD. Cos 2 f and J/ sin 2v. ! 2 3 . Hor. Diff. dist. elev. Hor. Diff. dist. elev. Hor. Diff. dist. elev. Hor. Diff. dist. elev. 2 4 6 8 1.0000 .0000 1.0000 .0006 1.0000 .0012 1.0000 .0017 1.0000 .0023 .9997 .0174 .9997 .0180 .9997 .0186 .9996 .0192 .9996 .0198 .9988 .0349 .9987 .0355 .9987 .0360 .9987 .0366 .9986 .0372 .9973 .0523 .9972 .0528 .9971 .0534 .9971 .0540 .9970 .0546 10 12 14 16 18 1.0000 .0029 1.0000 .0035 1.0000 .0041 1.0000 .0047 1.0000 .0052 .9996 .0204 . 9996 . 0209 .9995 .0215 .9995 .0221 .9995 .0227 .9986 .0378 .9985 .0384 .9985 .0390 .9984 .0395 .9984 .0401 .9969 .0552 .9969 .0557 .9968 .0563 .9968 .0569 .9967 .0575 20 22 24 26 28 1.0000 .0058 1.0000 .0064 1.0000 .0070 . 9999 . 0076 .9999 .0081 .9995 .0233 .9994 .0238 .9994 .0244 .9994 .0250 .9993 .0256 .9983 .0407 .9983 .0413 .9982 .0418 .9982 .0424 .9981 .0430 .9966 .0580 .9966 .0586 .9965 .0592 .9964 .0598 .9963 .0604 30 32 34 36 38 .9999 .0087 .9999 .0093 .9999 .0099 .9999 .0105 .9999 .0111 .9993 .0262 .9993 .0267 . 999.3 . 0273 .9992 .0279 .9992 .0285 .9981 .0436 .9980 .0442 .9980 .0448 .9979 .0453 .9979 .0459 .9963 .0609 .9962 .0615 .9962 .0621 .9961 .0627 .9960 .0633 40 42 44 46 48 .9999 .0116 .9999 .0122 .9998 .0128 .9998 .0134 .9998 .0140 .9992 .0291 .9991 .0297 .9991 .0302 .9990 .0308 .9990 .0314 .9978 .0465 .9978 .0471 .9977 .0476 .9977 .0482 .9976 .0488 .9959 .0638 .9959 .0644 .9958 .0650 .9957 .0656 .9956 .0661 50 52 54 56 58 .9998 .0145 .9998 .0151 .9998 .0157 .9997 .0163 .9997 .0169 .9990 .0320 . 9989 . 0326 .9989 .0331 .9989 .0337 .9988 .0343 .9976 .0494 .9975 .0499 .9974 .0505 .9974 .0511 .9973 .0517 .9956 .0667 .9955 .0673 .9954 .0678 . 9953 . 0684 .9952 .0690 60 .9997 .0174 .9988 .0349 .9973 .0523 .9951 ' .0696 C+f 0.75 1.00 1.25 0.75 0.01 1.00 0.01 1.25 0.02 0.75 0.02 1.00 0.03 1.25 0.03 0.75 0.03 1.00 0.04 1.25 0.05 0.75 0.05 1.00 0.06 1.25 0.08 (c+/) cos v and (c+f) sin p. Natural functions 99 TABLE 6. STADIA COEFFICIENTS, VERTICAL ROD. Cos 2 ?; and Yi sin 2v. 4 5 6 7 Hor. Diff. dist. elev. Hor. Diff. dist. elev. Hor. Difl. dist. elev. Ilor. Diff. dist. elev. 2 4 6 8 .9951 .0696 . 9951 . 0702 . 9950 . 0707 . 9949 . 0713 .9948 .0719 . 9924 . 0868 . 9923 . 0874 . 9922 . 0880 . 9921 . 0885 . 9920 . 0891 .9891 .1040 . 9890 . 1045 . 9888 . 1051 .9887 .1057 . 9886 . 1002 .9851 .1210 .9850 .1215 .9848 .1221 .9847 .1226 . 9846 . 1232 10 14 16 18 . 9947 . 0725 .9946 .0730 . 9946 . 0736 . 9945 . 0742 . 9944 . 0748 . 9919 . 0897 .9918 .0903 . 9917 . 0908 .9916 .0914 .9915 .0920 . 9885 . 1068 .9883 .1074 . 9882 . . 1079 . 9881 . 1085 .9880 .1091 .9844 .1238 . 9843 . 1243 . 9841 . 1219 .9840 .1255 . 9839 . 1200 20 22 24 26 28 .9943 .0753 . 9942 . 0759 . 9941 . 07G5 . 9940 . 0771 . 9939 . 0776 .9914 .0925 .9913 .0931 .9911 .0937 .9910 .0943 . 9909 . 0948 . 9878 . 1096 .9877 .1102 .9876 .1108 .9874 .1113 . 9873 . 1119 .9837 .1266 .9836 .1272 . 9834 . 1277 .9833 .1283 . 9831 . 1288 30 32 34 36 38 . 9938 . 0782 . 9938 . 0788 . 9937 . 0794 . 9936 . 0799 . 9935 . 0805 . 9908 . 0954 . 9907 . 0960 . 9906 . 0965 . 9905 . 0971 .9904 .0977 .9872 .1125 . 9871 . 1130 . 9869 . 1136 .9868 .1142 .9867 .1147 .9829 .1294 . 9828 . 1300 . 9827 . 1305 .9825 .1311 .9824 .1317 40 42 44 46 48 .9934 .0811 . 9933 . 0817 . 9932 . 0822 . 9931 . 0828 . 9930 . 0834 . 9903 . 0983 . 9901 . 0988 . 9900 . 0994 .9899 .1000 .9898 .1005 . 9865 . 1153 .9864 .1159 . 9863 . 1164 .9861 .1170 .9860 .1176 .9822 11322 . 9820 . 1328 .9819 .1333 .9817 .1339 .9816 .1345 50 52 54 56 58 .9929 .0840 . 9928 . 0845 . 9927 . 0851 . 9926 . 0857 . 9925 . 0863 .9897 .1011 . 9896 . 1017 . 9894 . 1022 .9893 .1028 .9892 .1034 .9858 .1181 .9857 .1187 . 9856 . 1193 . 9854 . 1198 . 9853 . 1204 .9814 .1350 .9813 .1356 .9811 .1361 .9810 .1367 . 9808 . 1373 60 .9924 .0868 .9891 .1040 .9851 .1210 . 9806 . 1378 c+f 0.75 1.00 1.25 0. 75 0. 06 1.00 0.08 1. 25 0. 10 0. 75 0. 07 0. 99 0. 09 1. 24 0. 11 0. 75 0. 08 0. 99 0. 11 1.24 0.14 0. 74 0. 10 0. 99 0. 13 1.24 0.16 (c+f) cos v and (c+f) sin Natural functions. 100 TABLE 6. STADIA COEFFICIENTS, VERTICAL ROD. Cos 2 tf and }4 sin 2v. 8 9 10 11 Hor. Diff. dist. elev. Hor. Diff. dist. elev. Hor. Diff. dist. elev. Hor. Diff. dist. elev. 2 4 6 8 . 9806 . 1378 . 9805 . 1384 . 9803 . 1389 . 9801 . 1395 . 9800 . 1401 . 9755 . 1545 . 9753 . 1551 . 9752 . 1556 . 9750 . 1562 .9748 .1567 . 9698 . 1710 . 9696 . 1716 .9694 .1721 .9892 .1726 . 9690 . 1732 .9636 .1873 .9634 .1878 .9632 .1884 . 9629 . 1889 . 9627 . 1895 10 12 14 16 18 . 9798 . 1406 . 9797 . 1412 . 9795 . 1417 . 9793 . 1423 . 9792 . 1428 . 9746 . 1573 . 9744 . 1578 . 9743 . 1584 .9741 .1589 . 9739 . 1595 .9688 .1737 . 9686 . 1743 .9684 .1748 .9682 .1754 .9680 .1759 .9625 .1900 .9623 .1905 .9621 .1911 .9618 .1916 .9616 .1921 20 22 24 26 28 . 9790 . 1434 . 9788 . 1440 . 9787 . 1445 . 9785 . 1451 . 9783 . 1456 .9737 .1600 . 9735 . 1606 .9733 .1611 .9731 .1617 .9729 .1622 .9678 .1765 . 9676 . 1770 . 9674 . 1776 .9672 .1781 . 9670 . 1786 .9614 .1927 .9612 .1932 . 9C09 . 1938 . 9007 . 1943 .9605 .1948 30 32 34 36 38 .9782 .1462 . 9780 . 1467 . 9778 . 1473 . 9776 . 1479 . 9775 . 1484 .9728 .1628 . 9726 . 1633 .9724 .1639 . 9722 . 1644 . 9720 . 1650 .9668 .1792 .9666 .1797 .9664 .1803 .9662 .1808 .9660 .1814 .9603 .1954 .9600 .1959 .9598 .1904 . 9596 . 1970 .9593 .1975 40 42 44 46 48 . 9773 . 1490 . 9771 . 1495 . 9769 . 1501 . 9768 . 1506 .9766 .1512 .9718 .1655 .9716 .1661 .9714 .1666 . 9712 . 1672 .9710 .1677 . 9657 . 1819 . 9655 . 1824 . 9653 . 1830 .9651 .1835 .9649 .1841 .9591 .1980 . 9589 . 1986 . 9586 . 1991 .9584 .1996 .9582 .2002 50 52 54 56 58 .9764 .1517 .9762 .1523 . 9761 . 1528 .9759 .1534 .9757 .1540 .9708 .1683 .9706 .1688 .9704 .1694 . 9702 . 1699 .9700 .1705 .9647 .1846 .9645 .1851 .942 .1857 . 9640 . 1862 .9638 .1868 .9579 .2007 .9577 .2012 .9575 .2018 .9572 .2023 .9570 .2028 60 .9755 .1545 .9698 .1710 .9636 .1873 .9568 .2034 c+f 0.75 1.00 1.25 0. 74 0. 11 0.99 0.15 1.23 0.18 0.74' 0.12 0. 99 0. 16 1.23 0.21 0. 74 0. 14 0.98' 0.18 1.23 0.23 0. 73 0. 15 0. 98 0. 20 1.22 0.25 (c+f) cos v and (c+f) sin v. Natural functions. 101 TABLE 6. STADIA COEFFICIENTS, VERTICAL ROD. Cos 2 t> and ^ sin 2v. 12 13 14 15 Hor. Diff. dist. elev. Hor. Diff. dist. elev. Hor. Dili, dist. elev. Hor. Diff. dist. elev. 2 4 6 8 . 9568 . 2034 . 9565 . 2039 . 9563 . 2044 .9501 .2050 . 9558 . 2055 . 9494 . 2192 .9491 .2197 . 9489 . 2202 . 9486 . 2208 .9484 .2213 . 9415 . 2347 . 9412 . 2352 . 9409 . 2358 . 9407 . 2363 . 9404 . 2368 . 9330 . 2500 . 9327 . 2505 . 9324 . 2510 . 9321 . 2515 . 9318 . 2520 10 12 14 16 18 . 9556 . 2060 . 9553 . 2066 . 9551 . 2071 . 9549 . 2076 .9546 .2081 . 9481 . 2218 . 9479 . 2223 . 9476 . 2228 . 9473 . 2234 . 9471 . 2239 .9401 .2373 . 9398 . 2378 .9395 .2383 . 9393 . 2388 . 9390 . 2393 . 9316 . 2525 . 9313 . 2530 .9310 .2535 .9307 .2540 . 9304 . 2545 20 22 24 26 28 . 9544 . 2087 . 9541 . 2092 . 9539 . 2097 . 9536 . 2103 . 9534 . 2108 . 9468 . 2244 . 9466 . 2249 . 9463 . 2254 . 9460 . 2260 .9458 .2265 .9387 .2399 . 9384 . 2404 . 9381 . 2409 . 9379 . 2414 .9376 .2419 . 9301 . 2550 . 9298 . 2555 . 9295 . 2500 .9292 .2565 . 9289 . 2570 30 32 34 36 38 .9532 .2113 .9529 .2118 .9527 .2124 . 9524 . 2129 .9522 .2134 . 9455 . 2270 . 9452 . 2275 . 9450 . 2280 . 9447 . 2285 . 9444 . 2291 .9373 .2424 .9370 .2429 . 9367 . 2434 . 9365 . 2439 . 9362 . 2444 .9286 .2575 .9283 .2580 . 9280 . 2585 . 9277 . 2590 . 9274 . 2595 40 42 44 46 48 . 9519 . 2139 . 9517 . 2145 . 9514 . 2150 .9512 .2155 . 9509 . 2160 . 9442 . 2296 . 9439 . 2301 . 9436 . 2306 .9434 .2311 .9431 .2316 . 9359 . 2449 . 9356 . 2455 . 9353 . 2460 . 9350 . 2465 .9347 .2470 .9271 .2600 . 9268 . 2605 .9265 .2610 .9262 .2615 . 9259 . 2620 50 52 54 56 58 . 9507 . 2166 . 9504 . 2171 . 9502 . 2176 . 9499 . 2181 .9497 .2187 .9428 .2322 . 9426 . 2327 . 9423 . 2332 . 9420 . 2337 .9417 .2342 . 9345 . 2475 . 9342 . 2480 .9339 .2485 . 9336 . 2490 .9333 .2495 .9256 .2625 . 9253 . 2630 .9249 .2635 . 9246 . 2640 . 9243 . 2645 60 . 9494 . 2192 .9415 .2347 . 9330 . 2500 .9240 .2650 c+f 0.7o 1.00 1.25 0. 73 0. 16 0. 98 0. 22 1.22 0.27 0. 73 0. 17 0. 97 0. 23 1.21 0.29 0. 73 0. 19 0. 97 0. 25 1.21 0.31 0. 72 0. 20 0. 96 0. 27 1. 20 0. 34 (c+f) cos v and (c+f) sin v. Natural functions. 102 TABLE 6. STADIA COEFFICIENTS, VERTICAL ROD. Cos 2 i; and H sin 2v. 16 17 18 19 Hor. Diff. dist. elev. Ilor. Diff. dist. elev. Ilor. Diff. dist. elev. Ilor. Diff. dist. elev. 2 4 6 8 . 9240 . 2650 . 9237 . 2655 . 9234 . 2659 . 9231 . 2664 . 9228 . 2669 . 9145 . 2796 . 9142 . 2801 . 9139 . 2806 . 9135 . 2810 .9132 .2815 . 9045 . 2939 .9042 .2944 . 9038 . 2948 .9035 .2953 . 9031 . 2958 . 8940 . 3078 . 8936 . 3083 . 8933 . 3087 . 8929 . 3092 .8926 .3097 10 12 14 16 18 . 9225 . 2674 . 9222 . 2679 . 9219 . 2684 .9215 .2689 .9212 .2694 . 9129 . 2820 . 9126 . 2825 . 9122 . 2830 .9119 .2834 .9116 .2839 . 9028 . 2962 . 9024 . 2967 . 9021 . 2972 . 9018 . 2976 .9014 .2981 .8922 .3101 . 8918 . 3106 .8915 .3110 .8911 .3115 .8908 .3119 20 22 24 26 28 .9209 .2699 . 9206 . 2704 . 9203 . 2709 . 9200 . 2713 .9197 .2718 . 9112 . 2844 . 9109 . 2849 . 9106 . 2854 . 9102 . 2858 . 9099 . 2863 .9011 .2986 . 9007 . 2990 . 9004 . 2995 . 9000 . 3000 . 8997 . 3004 . 8904 . 3124 . 8900 . 3128 . 8896 . 3133 . 8893 . 3138 .8889 .3142 30 32 34 30 38 . 9193 . 2723 . 9190 . 2728 . 9187 . 2733 . 9184 . 2738 .9181 .2743 .9096 .2868 . 9092 . 2873 . 9089 . 2877 .9086 .2882 .9082 .2887 . 8993 . 3009 .8990 .3014 . 8986 . 3019 .8983 .3023 . 8979 . 3028 .8886 .3147 .8882 .3151 .8878 .3156 . 8875 . 3160 .8871 .3165 40 42 44 46 48 .9177 .2748 .9174 .2752 .9171 .2757 . 9168 . 2762 .9165 .2767 . 9079 . 2892 . 9076 . 2896 . 9072 . 2901 . 9069 . 2906 .9066 .2911 .8976 .3032 . 8972 - 3037 .89G9 .3041 . 8965 . 3046 . 89G1 . 3051 .8867 .3169 .8864 .3174 .8860 .3178 .8856 .3183 . 8853 . 3187 50 52 54 56 58 .9161 .2772 . 9158 . 2777 . 9155 . 2781 .9152 .2786 . 9148 . 2791 . 9062 . 2915 . 9059 . 2920 . 9055 . 2925 . 9052 . 2930 . 9048 . 2934 . 8958 . 3055 . 8954 . 30(iO .8951 . 3065 . 8947 . 3069 .8944 .3074 . 8849 . 3192 . 8845 . 3196 . 8841 . 3201 . 8838 . 3205 .8834 .3209 CO . 9145 . 2796 . 9045 . 2939 . 8940 . 3078 . 8830 . 3214 c+f 0.75 1.00 1.25 0. 72 0. 21 0. 96 0. 28 1. 20 0. 36 0. 72 0. 23 0. 95 0. 30 1.19 0.38 0. 71 0. 24 0. 95 0. 32 1. 19 0. 40 0. 71 0. 25 0. 94 0. 33 1.18 0.42 (c+f) cos v and (c+f) sin v. Natural functions. 103 TABLE 6.-STADIA COEFFICIENTS, VERTICAL ROD. Cos^v and Y 2 sin 2v. 20 21 22 23 Hor. Diff. dist. elev. Hor. Dili, dist. elev. Hor. Diff. dist. elev. Hor. Did. dist. elev. 2 4 6 8 .8830 .3214 . 8826 . 3218 . 8823 . 3223 .8819 .3227 .8815 .3232 . 8716 . 3346 .8712 .3350 .8708 .3354 . 8704 . 3359 . 8700 . 3363 . 8597 . 3473 . 8593 . 3477 . 8589 . 3482 . 8585 . 348(5 . 8580 . 3490 .8473 .3597 .8469 .3601 . 8465 . 3605 .8461 .3(509 .8457 .3013 10 12 14 16 18 .8811 .3236 .8808 .3241 . 8804 . 3245 . 8800 . 3249 . 8796 . 3254 . 8696 . 3367 .8692 .3372 . 8688 . 3376 . 8684 . 3380 .8680 .3384 . 8576 . 3494 . 8572 . 3498 . 8568 . 3502 . 8564 . 3507 .8560 .3511 .8452 .3617 .8448 .3621 . 8444 . 3625 .8440 .3629 . 8435 . 3633 20 22 24 26 28 . 8793 . 3258 . 8789 . 3263 .8785 .3267 . 8781 . 3272 .8777 .3276 . 8677 . 3389 . 8673 . 3393 . 8669 . 3397 . 8665 . 3401 . 8661 . 3406 .8556 .3515 . 8552 . 3519 . 8548 . 3523 . 8544 . 3527 . 8540 . 3531 . 8431 . 3637 .8427 .3641 .8423 .3645 . 8418 . 3649 .8414 .3653 30 32 34 36 38 .8774 .3280 . 8770 . 3285 . 8766 . 3289 . 8762 . 3293 .8758 .3298 .8657 .3410 .8653 .3414 .8649 .3418 .8645 .3423 .8641 .3427 .8536 .3536 .8531 .3540 .8527 .3544 . 8523 . 3548 .8519 .3552 .8410 .3657 . 8406 . 3661 . 8401 . 3665 . 8397 . 3669 . 8393 . 3673 40 42 44 46 48 .8754 .3302 .8751 .3307 .8747 .3311 .8743 .3315 . 8739 . 3320 .8637 .3431 . 8633 . 3435 . 8629 . 3440 . 8625 . 3444 .8621 .3448 .8515 .3556 .8511 .3560 . 8507 . 3564 .8502 .3568 . 8498 . 3572 . 8389 . 3677 . 8384 . 3680 . 8380 . 3684 . 8376 . 3688 .8372 .3692 50 52 54 56 58 . 8735 . 3324 . 8731 . 3328 . 8727 . 3333 . 8724 . 3337 . 8720 . 3341 .8617 .3452 . 8613 . 3457 .8609 .3461 . 8605 . 34(55 .8601 .3469 .8494 .3576 . 8490 . 3580 . 8486 . 3585 . 8482 . 3589 .8477 .3593 . 8367 . 3696 .8363 .3700 . 8359 . 3704 .8354 .3708 .8350 .3712 CO . 8716 . 3346 .8597 .3473 . 8473 . 3597 .8346 .3716 c+f 0.75 1.00 1.25 0. 70 0. 26 0. 94 0. 35 1.17 0.44 0. 70 0. 27 0. 93 0. 37 1.16 0.46 0. 69 0. 29 0. 92 0. 38 1. 15 0. 48 0. 69 0. 30 0. 92 0. 40 1. 15 0. 50 (c+f) cos v and (c+f) sin v. Natural functions. 104 TABLE 6.-STADIA COEFFICIENTS, VERTICAL ROD. Cos-v and ^ sin 2v. 24 25 26 27 Hor. DifT. dist. elev. Hor. Diff. dist. elev. Hor. Diff. dist. elev. Hor. Diff. dist. elev. 2 4 6 8 .8340 .3710 .8341 .3720 . 8337 . 3723 . 8333 . 3727 . 8328 . 3731 . 8214 . 3830 . 8209 . 3834 . 8205 . 3838 . 8201 . 3841 . 8190 . 3845 . 8078 . 3940 . 8074 . 3944 . 8069 . 3947 . 8005 . 3951 . 8060 . 3954 . 7939 . 4045 . 7934 . 4049 . 7930 . 4052 . 7925 . 4055 . 7920 . 4059 10 12 14 16 18 .8324 .3735 . 8320 . 3739 .8315 .3743 .8311 .3747 .8307 .3751 . 8192 . 3849 . 8187 . 3853 . 8183 . 3850 . 8178 . 3800 .8174 .3864 .8055 .3958 . 8051 . 3961 . 8046 . 3965 . 8041 . 3969 . 8037 . 3972 .7915 . 4002 .7911 .4000 . 7900 . 4009 . 7901 . 4072 . 7890 . 4070 20 22 24 20 28 . 8302 . 3754 . 8298 . 3758 . 8293 . 3702 .8289 .3700 . 8285 . 3770 .8109 .3867 .8105 .3871 . SKiO . 3875 . 8150 . 3878 . 8151 . 3882 . 8032 . 3976 . 8028 . 3979 . 8023 . 3983 . 8018 . 3986 . 8014 . 3990 . 7892 . 4079 . 7887 . 4082 . 7882 . 4080 . 7877 . 4089 . 7873 . 4092 30 32 34 36 38 . 8280 . 3774 .8270 .3777 . 8272 . 3781 . 8207 . 3785 .8263 .3789 . 8147 . 3886 .8142 .3889 .8138 .3893 . 8133 . 3897 .8128 .3900 . 8009 . 3993 . 8004 . 3997 .8000 .4000 . 7995 . 4004 .7990 .4007 . 7808 . 4090 . 7803 . 4099 . 7858 . 4102 . 7854 . 4100 . 7849 . 4109 40 42 44 40 48 .8258 .3793 . 8254 . 3796 . 8249 . 3800 . 8245 . 3804 . 8241 . 3808 .8124 .3904 .8119 .3908 .8115 .3911 .8110 .3915 . 8106 . 3918 . 7986 . 4011 . 7981 . 4014 . 7976 . 4018 . 7972 . 4021 . 7967 . 4024 .7844 .4112 .7839 .4110 .7834 .4119 . 7830 . 4122 . 7825 . 4120 50 52 54 50 58 .8230 .3811 . 8232 . 3815 . 8227 . 3819 . 8223 . 3823 . 8218 . 3820 .8101 .3922 .8097 .3920 . 8092 . 3929 . 8087 . 3933 .8083 .3930 . 7962 . 4028 . 7958 . 4031 . 7953 . 4035 . 7948 . 4038 . 7944 . 4042 .7820 .4129 . 7815 . 4132 .7810 .4135 . 7800 . 4139 . 7801 . 4142 GO .8214 . 3830 . 8078 . 3940 . 7969 . 4045 . 7796 . 4145 c+f 0.75 1.00 1.25 0. 08 0. 31 0.91 0.41 1. 14 52 0. 08 0. 32 0. 90 0. 43 1. 13 0. 54 0.67 . 0.33 0. 89 0. 45 1. 12 0. 50 0. 66 0. 35 0. 89 0. 46 1. 11 0. 58 (c+/) cos v and (c+/) sin v. Natural functions. 105 TABLE 7. NATURAL SINES AND COSINES. t 1 2 j 3 4 Sine. Cosin. Sine. 1 Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. . 00000 One. . 01745 . 99985 . 03490 . 99939 . 05234 .99863 . 06976 . 99750 00 1 . 00029 One. .01774 .99984 .03519 . 99938 . 05263 . 99361 . 07005 . 99754 59 2 . 00058 One. .01803) .99984 . 03548 .99937 . 05292 . 99860 . 07034 . 99752 58 3 . 00087 One. .01832 .99983 . 03577 . 99936 . 05321 .99858 . 07003 . 99750 57 4 .00116 One. .01862 .99983 .03606 . 99935 . 05350 . 99857 . 07092 . 99748 56 .00145 One. .01891 .99982 . 03635 . 99934 . 05379 . 99855 . 07121 . 99746 55 fl . 00175 One. . 01920i . 99982 . 03664 . 99933 .054081 .99854 . 07150 . 99744 54 7 . 00204 One. .01949 .99981 . 03693 . 99932 .05437 .99S52 . 07179 . 99742 53 X . 00233 One. .01978 .99980 . 03723 . 99931 .05466 .99851 . 07208 . 99740 52 I . 002G2 One. .02007 .99980 . 03752 . 99930 . 05495 . 99849 . 07237 . 99738 51 10 .00291 One. .02036 . 99979 . 03781 . 99929 . 05524 . 99847 . 07266 . 99736 50 11 .00320 . 99999 .02065 .99979 . 03810 .99927 . 05553 . 99846 . 07295 . 99734 19 12 13 11 .00349 . 00378 . 00407 . 99399 . 99999 . 99999 .02094 . 02123 . 02152 . 99978 . 99977 . 99977 . 03839 . 03868 . 03897 . 99926 . 99925 . 99924 . 05582 . 05611 . 05640 . 99844 . 99842 . 99S41 . 07324 . 07353 . 07382 .9973148 . 99729 47 . 99727 46 15 . 0043(5 . 99999 . 02181 . 99976 . 03926 . 99923 . 05669 . 99839 .07411 . 99725 45 11 .00465 . 99999 .02211 . 99976 . 03955 .99922 . 05698 .99838 . 07440 . 99723 44 17 .00495 . 99999 . 02240 . 99975 . 03984 . 99921 . 05727 . 99836 . 07469 . 99721 43 18 .00524 . 99999 . 02269 . 99974 . 04013 . 99919 . 05756 . 99834 . 07498 . 99719 42 19 . 00553 . 99998 .02298 . 99974 . 04042 . 99918 .05785 . 99833 . 07527 . 99716 41 20 .00582 .99998 . 02327 .99973 . 04071 . 99917 . 05814 .99831 . 07556 . 99714 40 21 .00611 .99998 . 02356 . 99972 .04100 .99916 . 05844 . 99829 .07585 . 99712 39 22 . 00640 . 99998 . 023S5 . 99972 .04129 .99915 . 05873 . 99827 . 07614 . 99710 38 23 .00669 . 99998 .02414 . 99971 .04159] .99913 . 05902 . 99826 . 07643 . 9970S 37 24 .00098 .99998 . 02443 . 99970 .04188' .99912 . 05931 .99824 . 07672 . 99705 36 25 .00727 .99997 . 02472 . 99969 .042171 .99911 . 05960 .99822 . 07701 . 99703 35 2f . 00756 .99997 . 02501 .99969 .042 Hi! .99910 .05989 .99821 . 07730 . 99701 34 27 .00785 . 99997 . 02530 . 99968 .04275 1 .99909 .06018 . 99819 . 07759 . 99699 33 2* .00814 . 99997 . 02560 .99967 .043041 .99907 . 06047 . 99817 . 07788 . 99696 32 29 .00844 .99996 .02589 . 99966 .04333 .99906 . 06076 .99815 .07817 . 99694 31 30 .00873 .99996 . 02618 .99966 . 04362 . 99905 .06105 . 99813 . 07846 .99692 30 31 .00902 . 99996 . 02647 .99965 . 04391 .99904 . 06134 . 99812 . 07875 . 99689 29' 32 . 00931 . 99996 . 02676 . 99964 . 04420 .99902 . 06163 . 99810 . 07904 .99687 28 33 .00960 . 99995 . 02705 . 99963 . 04449 .99901 . 06192 . 99808 . 07933 . 99685 27 34 .00989 . 99995 . 02734 .99963 . 04478 .99900 .06221 . 99SO(i .07962 .99683 26 35 .01018 . 99995 . 02763 . 99962 .04507 . 99898 .06250 .99804 . 07991 .99680 25 31 . 01047 . 99995 . 02792 .99961 . 04536 . 99897 .06279 .99803 . 08020 .99678 24 37 . 01076 . 99994 . 02821 . 99960 .04565 .998% .06308 . 99801 . 08049 . 99676 23 38 .01105 .99994 . 02850 . 99959 . 04594 . 99894 .06337 . 99799 . 0807S . 99673 22 39 . 01134 . 99991 . 02879 . 99959 .04623 . 99893 . 06366 . 99797 . 08107 . 99671 21 40 .01164 . 99993 .02908 . 99958 .04653 . 99892 .06395 . 99795 . 08136 . 99668 20 41 . 01193 .99993 . 02938 .99957 . 046S2 .99890 .06424 . 99793 .08165 . 99666 19 42 . 01222 . 99993 . 02967 . 99956 . 04711 . 99889 . 06453 .99792 . 08194 . 99664 18 43 . 01251 . 99992 .02996 . 99955 . 04740 . 99888 . 06482 .99790 . 08223 . 99661 17 44 . 01280 . 99992 . 03025 . 99954 . 04769 .99886 .06511 . 99788 .08252 .99659 16 45 . 01309 . 99991 . 03054 . 99953 . 04798 .99885 .06540 .99786 . 08281 .99657 15 4( . 01338 . 99991 . 03083 . 99952 .04827 .99883 . 06569 . 99784 . 08310 .99654 14 47 . 01367 .99991 . 03112 . 99952 .04856 . 99882 . 06598 .99782 . 08339 . 99652 13 48 . 01396 .99990 . 03141 . 99951 . 04885 . 99881 . 06627 .99780 . 08368 .99649 12 49 . 01425 . 99990 . 03170 . 99950 . 04914 . 99879 .06656 .99778 . 08397 .99647 11 50 .01454 . 99989 . 03199 . 99949 .04943 . 99878 .06685 . 99776 . 08426 . 99644 10 51 .01483 . 99989 . 03228 . 99948 . 04972 . 99876 .06714 . 99774 . 08455 .99642 9 K . 01513 .99989 . 03257 . 99947 .05001 . 99875 . 06743 .99772 . 08484 . 99639 8 53 . 01542 . 99988 . 03286 .99946 . 05030 . 99873 .06773 . 99770 .08513 .99637 7 5 . 01571 . 99988 . 03316 .99945 . 05059 . 99872 .06802 . 99768 .08542 . 99635 a M .01600 . 99987 . 03345 . 99944 .05088 . 99870 . 06831 .99766 .08571 . 99632 5 5C . 01629 . 99987 . 03374 . 99943 .05117 . 99869 .06860 . 99764 .08600 . 99630 4 57 .01658 . 99986 . 03403 . 99942 . 05146 . 99S67 . 06889 . 99762 . 08629 . 99627 3 58 . 01687 . 99986 . 03432 . 99941 . 05175 . 99866 .06918 .99760 . 08658 . 99625 2 59 . 01716 . 99985 . 03461 .99940 .05205 . 99864 . 06947 . 99758 .08687 .99622 1 (i( . 01745 . 99985 .03490 . 99939 . 05234 . 99863 . 06976 . 99756 . 08716 .99619 p Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. f 89 88 87 86 85 106 TABLE 7. NATURAL SINES AND COSINES. 5 6 7 8 9 / Sine. I Cosin. Sine, j Cosin. ; Sine. Cosin. Sine. Cosin. Sine. Cosin. .08716 .99619 .10453 .99452 .12187 .99255 . 13917 . 99027 . 15643 . 98769 60 1 .08745 .99617 .10482 .99449! .12216 .99251 . 13946 . 99023 . 15672 .9876459 2 .08774 .99614 .10611] .99446 .12245 .99248 . 13975 . 99019 . 15701 .9876058 3 .08803 .99612 .10540 .99443 .12274 .99244 .14004 .99015 . 15730 .9875557 4 .08831 .99609 .10569 .99440 .12302 .99240 . 14033 .99011 . 15758 . 98751 56 5 .08860 .99607 .10597 .99437 .12331 .99237 .14061 .99006 . 15787 .9874655 (', . 08889 . 99604 .10626| -99434 .12360 .99233 .14090 .99002 15816 . 98741 54 7 .08918 .99602 .10655 -99431 .12389 .99230 .14119 .98998 . 15845 .98737 53 8 .08947 .99599 .10684 .99428 .12418 .99226 . 14148 . 98994 . 15873 .98732 52 g .08976 .99596 .10713 -99424 .12447 .99222 . 14177 . 98990 . 15902 .98728 51 10 .09005 .99594 . 10742 . 99421 .12476 .99219! . 14205 . 98986 . 15931 . 98723 50 11 . 09034 . 99591 . 10771 .99418 .12504 .99215 . 14234 . 98982 . 15959 .98718 49 12 . 09063 . 99588 . 10800 .99415 .12533 .99211 . 14263 . 98978 . 15988 .98714 48 13 . 09092 . 99586 . 10829 . 99412 .12562 .99208 . 14292 .98973 .16017 . 98709 47 11 .09121 . 99583 . 10858 . 99409 .12591 .99204 . 14320 . 98969 . 16046 . 98704 46 1 5 .09150 .99580 . 10887 . 99406 .12620: .99200 . 14349 . 98965 .16074 .98700 45 10 .09179 . 99578 .10916 . 99402 .12649J .99197 . 14378 . 98961 . 16103 . 98695 44 17 . 09208 . 99575 . 10945 .99399 .12678! .99193 . 14407 . 98957 . 16132 . 98690 43 18 ; .09237 .99572 . 10973 . 99396 . 12706 . 99189 . 14436 . 98953 . 16160 . 98686 42 ig: .09266 . 99570 .11002 . 99393 . 12735 . 99186 .14464 . 98948 .16189 . 98681 41 20 -09295 . 99567 . 11031 . 99390 . 12764 . 99182 . 14493 . 98944 . 16218 . 98676 40 21 .09324 . 99564 .11060 . 99386 . 12793 . 99178 . 14522 . 98940 . 16246 . 98671 39 22^ .09353 . 99562 . 11089 . 99383 . 12822 . 99175 . 14551 . 98936 . 16275 . 98667 38 23 -09382 .99559 .11118 . 99380 . 12851 .99171 . 14580 .98931 . 16304 . 98662 37 24] .09411 . 99556 .11147 . 99377 . 12880 . 99167 .14608 . 98927 . 16333 . 98657 36 25 .09440 . 99553 .11176 . 99374 .12908 . 99163 . 14637 .98923 . 16361 . 98652 35 26] .09469 . 99551 . 11205 . 99370 . 12937 . 99160 . 14666 . 98919 . 16390 . 98648 34 27, .09498 . 99548 . 11234 . 99367 . 12966 . 99156 . 14695 . 98914 . 16419 .98643133 281 .09527 . 99545 . 11263 . 99364 . 12995 .99152 . 14723 . 98910 . 16447 . 98638 32 29 .09556 .99542 . 11291 . 99360 . 13024 . 99148 . 14752 .98906 . 16476 . 98633|31 30 .09585 .99540 . 11320 . 99357 . 13053 . 99144 . 14781 . 98902 .16505 . 98629 30 31 .09614 . 99537 . 11349 . 99354 . 13081 . 99141 . 14810 .98897 . 16533 . 98624 29 32 .09642 . 99534 . 11378 . 99351 .13110 . 99137 . 14838 . 98893 . 16562 . 98619 28 33! -09671 . 99531 . 11407 . 99347 . 13139 . 99133 . 14867 .98889 . 16591 .98614 27 31 .09700 . 99528 . 11436 . 99344 . 13168 . 99129 . 14896 .98884 . 16620 .98609 26 35 . 09729 . 99526 .11465 . 99341 . 13197 .99125 . 14925 .98880 . 16648 . 98604 25 36 . 09758 . 99523 . 11494 . 99337 . 13226 . 99122 . 14954 . 98876 .16677 .98600 24 37 .09787 .99520 .11523 . 99334 . 13254 .99118 . 14982 .98871 . 16706 . 98595 23 38 .09816 . 99517 . 11552 . 99331 . 13283 .99114 .15011 . 98867 . 16734 . 98590|22 391 .09845 .99514 . 11580 . 99327 . 13312 . 99110 .15040 . 98863 . 16763 . 98585 21 40 .09874 .99511 .11609 . 99324 . 13341 . 99106 .15069 .98858 . 16792 .9858020 41 .09903 . 99508 .11638 .99320 . 13370 .99102 .15097 .98854 . 16820 . 98575 19 42 .09932 . 99506 . 11667 . 99317 .13399 .99098 . 15126 . 98849 . 16849 .9857018 43 .09961 . 99503 . 11696 . 99314 . 13427 .99094 . 15155 . 98845 . 16878 .98565117 44 .09990 . 99500 . 11725 . 99310 . 13456 .99091 . 15184 . 98841 .16906 . 98561 16 45 .10019 . 99497 . 11754 . 99307 . 13485 . 99087 . 15212 .98836 . 16935 . 9855f 15 46 .10048 . 99494 . 11783 .99303 . 13514 . 99083 . 15241 . 98832 . 16964 . 98551 14 47 .10077 . 99491 .11812 . 99300 . 13543 . 99079 . 15270 .98827 . 16992 .98546113 48 . 10106 .99488 . 11840 . 99297 . 13572 .99075 . 15299 . 98823 . 17021 . 98541 12 49 . 10135 . 99485 . 11869 . 99293 .13600 .99071 . 15327 .98818 .17050 .98536 11 90 . 10164 . 99482 . 11898 .99290 . 13629 . 99067 . 15356 . 98814 . 17078 .98531 10 51 . 10192 . 99479 . 11927 . 99286 . 13658 . 99063 . 15385 .98809 . 17107 . 98526 9 52 . 10221 . 99476 .11956 . 99283 . 13687 . 99059 . 15414 .98805 . 17136 . 98521 8 to .10250 . 99473 . 11985 . 99279 . 13716 . 99055 . 15442 . 98800 . 17164 . 98516 7 54 . 10279 . 99470 . 12014 . 99276 . 13744 . 99051 .15471 . 98796 .17193 . 98511 6 55 . 10308 . 99467 . 12043 . 99272 . 13773 . 99047 .15500 .98791 .17222 .98506 5 56 . 10337 .99464 . 12071 . 99269 . 13802 .99043 . 15529 . 98787 . 17250 . 98501 4 57 . 10366 . 99461 .12100 . 99265 . 13831 . 99039 . 15557 . 98782 . 17279 . 98496 3 58 . 10395 . 99458 . 12129 . 99262 .13860 . 99035 . 15586 . 98778 . 17308 . 98491 2 59 . 10424 . 99455 .12158 . 99258 .13889 . 99031 . 15615 . 98773 . 17336 . 98486 1 60 .10453 . 99452 . 12187 . 99255 . 13917 . 99027 .15643 . 98769 . 17365 . 98481 Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. 84 83 82 81 80 107 TABLE 7. NATURAL SINES AND COSINES. 10 11 12 13 14 Sine. Cosin. Sine. Cosin. Sine. | Cosin. Sine. Cosin. Sine. Cosin. u . 17365 .98481 . 19081 .98163 . 20791 . 97815 . 22495 .97437 .24192 .97030 CO 1 . 17393 . 98476 . 19109 . 98157 .20820 .97809 . 22523 . 97430 .24220 .97023 SO 2 . 17422 .98471 . 19138 . 98152 .208481 .97803 . 22552 .97424 24249 .9701558 3 . 17451 . 98466 . 19167 . 98146 .20877 .97797 . 22580 .97417 .24277 .97008 57 4 . 17479 . 98461 . 19195 .98140 .20905 .97791 .22608 .97411 .24305 . 97001 56 5 .17508 . 98455 . 19224 .98135 .20933 .97784 .22637 .97404 . 24333 . 96994 55 6 .17537 .98450 . 19252 .98129 .20962 . 97778 . 22665 . 97398 . 24362 .96987 54 7 .17565 .98445 . 19281 . 98124 . 20990 . 97772 . 22693 .97391 . 24390 .96980 S3 8 . 17594 .98440 .19309 .98118 .21019 .97766 . 22722 .97384 . 24418 . 96973 52 9 . 17623 . 98435 . 19338 .98112 . 21047 .97760 .22750 . 97378 . 24446 .96966151 10 . 17651 . 98430 . 19366 . 98107 . 21076 .97754 . 22778 . 97371 . 24474 . 96959 50 11 .17680 . 98425 . 19395 . 98101 . 21104 . 97748 .22807 . 97365 . 24503 . 96952 49 12 . 17708 . 98420 . 19423 .98096 .21132 . 97742 . 22835 . 97358 .24531 . 96945 48 13 . 17737 . 98414 . 19452 .98090 .21161 . 97735 .22863 . 97351 . 24559 .96937 47 14 .17766 .98409 .19481 .98084 .21189 . 97729 .22892 .97345 .24587 .96930 46 1$ . 17794 .98404 .19509 .98079 .21218 . 97723 . 22920 .97338 .24615 . 96923 45 Hi . 17823 .98399 .19538 .98073 . 21246 .97717 . 22948 . 97331 .24644 .96916 44 17 . 17852 . 98394 .19566 . 9,8067 .21275 .97711 . 22977 . 97325 . 24672 . 96909 13 IS .17880 .93389 . 19595 .98061 .21303 . 97705 .23005 .97318 . 24700 .96902 42 19 . 17909 .98383 . 19623 .98056 . 21331 . 97698 . 23033 .97311 . 24728 . 96894 11 20 . 17937 . 98378 . 19652 .98050 .21360 . 97692 .23062 . 97304 . 24756 .96887 40 21 . 17966 .98373 .19680 .98044 .21388 .97686 .23090 .97298 . 24784 .96880 .39 22 . 17995 .98368 . 19709 .98039 .21417 .97680 .23118 . 97291 . 24813 . 96873 88 2:5 . 18023 .98362 . 19737 .98033 . 21445 .97673 . 23146 .97284 . 24841 . 96866 37 24 .18052 .98357 . 19766 .98027 . 21474 . 97667 .23175 .97278 . 24869 .96858 30 25 . 18081 .98352 . 19794 .98021 .21502 .97661 .23203 . 97271 : 24897 .96851135 26 . 18109 . 98347 . 19823 .98016 . 21530 . 97655 . 23231 .97264 . 24925 .96844 84 27 . 18138 .98341 .19851 .98010 . 21559 .97648 .23260 . 97257 . 24954 .96837 S3 28 . 18166 .98336 .19880 .98004 .21587 .97642 . 23288 .97251 . 24982 . 96829132 29 . 18195 . 98331 . 19908 .97998 .21616 . 97636 .23316 . 97244 . 25010 . 96822 SI 30 . 18224 .98325 . 19937 .97992 .21644 .97630 . 23345 . 97237 .25038 . 96815,30 31 . 18252 .98320 . 19965 .97987 . 21672 . 97623 .23373 . 97230 .25066 .96807 29 32 . 18281 .98315 . 19994 .97981 . 21701 . 97617 . 23401 . 97223 .25094 .96800 2,8 33 .18309 .98310 . 20022 . 97975 . 21729 .97611 . 23429 .97217 . 25122 .96793527 34l .18338 .98304 .20051 . 979G9 .21758 .97004 . 23458 . 97210 . 25151 . 96786 26 35 . 18367 .98299 .20079 .97963 .217861 -97598 . 23486 .97203 . 25179 .96778J25 36 . 18395 . 98294 . 20108 . 979,58 .21814 .97592 . 23514 .97196 . 25207 . 96771 24 37 . 18424 .98288 . 20136 . 97952 .21843 .97585 .23542 . 97189 .25235 .96764123 38 . 18452 .98283 .20165 . 97946 . 21871 . 97579 . 23571 . 97182 . 25263 . 96756 22 39 . 18481 . 98277 . 20193 . 97940 . 21899 .97573 . 23599 . 97176 . 25291 . 96749 21 40 .18509 .98272 . 20222 . 97934 . 21928 . 97566 .23627 . 97169 .25320 . 96742-20 41 . 18538 . 98267 .20250 .97928 . 21956 .97560 . 23656 .97162 .25348 . 96734 ' 19 42 .18567 . 98261 .20279 .97922 .21985 . 97553 .23684 . 97155 . 25376 . 96727 18 43 . 18595 .98256 .203071 .97916 .22013 . 97547 . 23712 .97148 .25404 . 96719 17 44 . 18624 .98250 .20336 .97910 . 22041 . 97541 . 23740 .97141 .25432 . 96712 If) 45 .18652 . 98245 .20364 .97905 . 22070 . 97534 .23769 .97134 .25460 .9670515 46 .18681 .98240 .20393 .97899 . 22098 .97528 . 23797 .97127 .25488 . 96697 14 47 . 18710 . 98234 .20421 .97893 . 22126 . 97521 . 23825 . 97120 . 25516 .9669013 48 . 18738 . 98229 .20450 .97887 .22155 . 97515 . 23853 .97113 .2504.-) .96682 12 49 . 18767 . 98223 . 20478 .97881 .22183 . 97508 .23882 . 97106 .25573 .9667511 50 . 18795 . 98218 .20507 . 97875 . 22212 .97502 . 23910 .97100 .25601 . 96667 10 51 .18824 . 98212 . 20535 . 97869 . 22240 .97496 . 23938 . 97093 . 25629 .96660 9 52 .18852 . 98207 .20563 . 97863 . 22268 . 97489 . 23966 .97086 . 25657 8 63 .18881 .98201 .20592 . 97857 . 22297 .97483 . 23995 . 97079 .25685 . 96645 7 54 . 18910 . 98196 . 20620 . 97851 . 22325 . 97476 . 24023 . 97072 . 25713 .96638 6 55 . 18938 .98190 .20649 . 97845 .22353 . 97470 . 24051 . 97065 . 25741 . 96630 5 56 . 18967 .98185 . 20677 . 97839 . 22382 . 97463 . 24079 . 97058 . 25769 . 96623 4 57 .18995 . 98179 .20706 . 97833 . 22410 . 97457 . 24108 . 97051 . 25798 .96(115 3 58 . 19024 . 98174 . 20734 . 97827 . 2243S .97450 . 24136 . 97044 .25826 .96608 2 69 .19052 .98168 .20763 . 97821 . 22467 . 97444 j . 24164 . 97037 .25854 .96600 1 60 .19081 .98163 .20791 . 97815 . 22495 . 97437 . 24192 . 97030 .25882 .96593 t Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. 79 78 77 76 75 108 TABLE 7. NATURAL SINES AND COSINES. 15 16 17 18 19 Sine. | Cosin. j Sine. Cosin. Sine. , Cosin. Sine. Cosin. Sine. Cosin. .25882 . 96593i .27564 . 96126 .29237| .95630 . 30902 . 95106 . 32557 . 94552 30 11 .25910 . 965S5 1 . 27592 . 96118, .29265 .95622 . 30929 . 95097 . 32584 .9454259 2 . 25938 . 96578 i . 27620 .96110 .29293 .95613 . 30957 .95088 . 32612 . 94533 58 3 . 25966 . 96570 . 27648 . 96102 .29321 .95605 . 30985 . 95079 5 . 32639 . 94523 57 4 . 25994 . 96562 . 27676 . 90094 .29348 ; .95596 . 31012 . 95070 . 32667 . 94514 56 5 . 26022 . 96555 . 27704 .96086 .29376 .95588 . 31040 .95061 . 32694 .94504 : 55 I . 26050 .96547' . 27731 . 96078 . 29404 . 95579 . 31068 . 9.5052 . 32722 . 94495'54 7 . 26079 . 96540! . 27759 . 96070 : .29432 .95571 . 31095 . 95043 . 32749 . 94485;53 8 . 26107 . 96532; . 27787 . 96062; .29460 .95562 .31123 .95033 . 32777 . 94476 52 9 . 20135 . 96524 . 27815 . 96054 1 . 29487 . 95554 .31151 . 95024! . 32804 . 94466;51 10 . 26163 . 96517 . 27843 . 96040 . 29515 . 95545 . 31178 . 95015J . 32832 .9445750 11 . 26191 . 96509 . 27871 . 96037: . 29543 . 95536 . 31200 . 95006 . 32859 . 94447 49 12 . 26219 . 96502 . 27899 . 96029 . 29571 . 95528 . 31233 . 94997 . 32887 .9443848 13 . 26247 . 96494 . 27927 . 96021 . 29599 . 95519 . 31261 . 94938 . 32914 . 94428 47 14 . 26275 . 96486 . 27955 .96013 . 29626 .95511 . 31289 . 94979 . 32942 . 94418 46 15 . 26303 . 96479 . 279S3 .96005 . 29654 .95502 .31310 . 94970 . 329G9 .9440945 10 . 26331 . 96471 .2- Oil . 95997: . 29uS2 . 95493 . 31344 . 94961 . 32997 .94399'44 17 . 26359 . 964(53 . 2S039 . 95989! . 29710 .95485 .31372 . 94952; . 33024 . 94390 43 IS: .26387 . 96456 . 28067 .95981! . 29737 . 954761 .31399 . 94943; . 33051 . 94380 42 19' .26415 . 96448 . 28095 .95972! . 29765 . 95467 .31427 . 94933 .33079 .9437041 20; .26443 . 96440 .28123 . 95964 . 29793 . 95459 1 . 31454 . 94924 .33106 . 94361 40 21 1 .26471 . 96433 . 28150 . 95956 . 29821 . 95450 . 31.482 . 94915 . 33134 . 94351 39 22: .26500 .96425 . 28178 .95948! .29849 .95441 . 31510 . 94906 . 33161 .9434238 23 .2652S . 96417 . 28206 . 95940: . 29876 . 95433 .31537 . 94897 . 331S9 .9433237 24i .26556 . 96410 .28234 . 95931 . 29904 .95424 . 31565 .94888 . 33216 .9432236 25' .26584 . 96402 . 28262 . 95923 . 29932 . 95415 . 31593 . 94878 . 33244 .94313 ! 35 26! .26612 .96394 . 28290 . 95915 . 29960 . 95407 . 31620 . 94869 . 33271 . 94303 34 27! .26640 .96386 .28318 .95907 . 29987 . 95398 . 31648 . 94860 . 33298 . 94293 33 28 .26668 . 96379 . 28346 . 95898 .30015 . 95389 . 31675 . 94851 . 33326 . 94284 32 29 .26696 .96371 .28374 . 95890 . 30043 . 95380 . 31703 . 94842 . 33353 . 94274'31 30j .26724 .96363 . 28402 . 95S82 . 30071 .95372 . 31730 . 94832 . 33381 . 94264 30 31 .26752 . 96355 . 28429 . 95874 . 30098 .95363 .31758 . 94823 . 3340S . 94254 29 32 .20780 . 96347 . 28457 .95865 . 30126 .95354 . 31786 . 94814 . 33436 . 94245!28 33! .26308 . 96340 . 28485 . 95857 . 30154 . 95345 . 31813 . 94805 . 33463 . 94235!27 34 .2(1836 . 96332 . 28513 . 95849 . 30182 . 95337 . 31841 . 94795 . 33490 . 94225'26 35 .26864 . 96324 . 28541 .95841 . 30209 . 95328 . 31868 . 94786 . 33518 . 94215125 36 .26892 371 .26920 .96316 . 96308 . 28569 . 28597 . 95832 .95824 . 30237 . 30265 . 95319 . 95310 . 31896 . 31923 . 94777 .94768 . 33545 . 33573 . 94206 24 . 94196 23 38 .26948 .9(5301 . 28625 .95816 . 30292 . 95301 . 31951 . 94758 . 33600 . 94186*22 39 .26976 . 96293 . 28652 . 95807 . 30320 . 95293 . 31979 . 94749 . 33627 . 94176 ! 21 40 .27004 .96285 .28680 . 95799 . 30348 . 95284 .32006 . 94740 . 33655 . 94167 20 41 .27032 . 96277 . 28708 . 95791 . 30376 . 95275 . 32034 . 94730 . 33682 . 94157 19 42 . 27060 . 96269 . 28736 . 95782 . 30403 . 95266 . 32061 . 94721 . 33710 . 94147 18 43 . 27088 . 96261 . 28764 . 95774 . 30431 . 95257 . 32089 . 94712 . 33737 . 94137 17 44 .27116 . 96253 . 28792 . 95766 . 30459 . 95248 .32116 . 94702 . 33764 . 94127 16 45 .27144 . 96246 . 28820 . 95757 . 30486 . 95240 . 32144 . 94693 . 33792 . 94118 15 46 .27172 . 96238 . 28847 . 95749 . 30514 . 95231 . 32171 .94684 . 33819 . 94108 14 47 .27200 . 96230 . 28875 . 95740 . 30542 . 95222 . 32199 . 94674 . 33846 . 94098 13 48 . 27228 . 96222 . 28903 . 95732 . 30570 . 95213 . 32227 . 94665 . 33874 .94088 12 49 .27251 . 96214 .28931 . 95724 . 30597 . 95204 . 3225' . 94656 . 33901 .9407811 50 .27284 . 96206 . 28959 . 95715 . 30625 . 95195 . 32282 . 94646 .33929 .94068 10 51 .27312 . 96198 . 28987 . 95707 . 30653 . 95186 . 32309 . 94637 . 3395f .94058 9 5'J .27340 . 96190 . 29015 . 9569S .30680 . 95177 . 3233" . 9462" . 33983 . 94049 8 53 1 .27368 . 96182 .29042 . 95690 . 30708 . 95168 . 32364 . 94618 .34011 . 94039 7 54 .27396 . 96174 . 29070 . 95681 . 30736 . 95159 . 32392 . 94609 . 34038 . 94029 6 55 .27424 .96166 . 2909S . 95673 . 30763 .95150 . 32419 . 94599 . 34065 . 94019 5 56; .27452 .96158 . 29126 . 95664 . 30791 . 95142 . 32447 . 94590 . 34093 . 94009 4 57: .274SO .96150 .29154 . 95656 .30819 .95133 . 32474 . 94580 . 3412C . 93999 3 58 .27508 1 .96142 . 2918L . 95647 .30846 .95124 .32502 .9457 .34147 . 93989 2 59 .27536 .96134 . 29209 . 95639 .30874 .95115 . 3252" .9456 . 3417 r . 93979 1 60! .27564 .96126 . 2923" . 95630 . 30902 . 95106 . 32557 . 94552 . 34201 . 93969 Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. , 74 73 72 71 70 109 TABLE 7.-NATUBAL SINES AND COSINES. , 2O 21 22 23 24 / Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. . 34202 . 93969 . 35837 . 93358 . 37461 . 92718 .39073 .92050 . 40674 . 91355 60 1 . 34229 . 93959 . 35864 . 93348 . 37488 . 92707 .39100 . 92039 .40700 . 91343'59 . 34257 . 93949 . 35891 . 93337 . 37515 . 92697 . 39127 . 92028 . 40727 . 91331 58 3 . 34284 . 93939 . 35918 . 93327 . 37542 . 92080 . 39153 . 92010 . 40753 .9131957 4 . 34311 . 93929 . 35945 . 93316 ., 37569 . 92675 . 39180 .92005 .40780 . 91307156 5 . 34339 . 93919 . 35973 . 93306 . 37595 . 92664 .39207 . 91994 . 40806 . 91295 55 ( . 3436G . 93909 .36000 . 93295 . 37622 . 92653 . 39234 . 91982 . 40833 .91283 54 . 34393 . 93899 .36027 .93285 .37649 . 92642 . 39260 . 91971 .40860 . 91272 58 8 . 34121 . 93889 . 30054 . 93274 . 37676 . 92631 . 39287 . 91959 . 40886 . 91260 52 () . 34448 . 93879 .36081 . 93264 . 37703 . 92020 . 39314 . 91948 . 40913 .91248 51 1C . 34475 . 93869 . 36108 . 93253 . 37730 .92609 . 39341 . 91930 . 40939 . 91236 50 11 . 34503 .93859 . 36135 . 93243 . 37757 . 92598 . 39367 . 91925 .40966 . 91224 49 12 . 34530 . 93849 . 36162 . 93232 . 37784 .92587 . 39394 . 91914 .40992 .91212 48 13 . 34557 . 93839 . 36190 . 93222 . 37811 . 92576 . 39421 . 91902 . 41019 . 91200 47 14 . 34584 . 93829 .36217 . 93211 .37838 . 92565 . 39448 . 91891 . 41045 .91188 40 15 . 34612 . 93819 . 36244 . 93201 . 37865 . 92554 . 39474 . 91879 . 41072 .91176 45 16 . 34639 . 93809 . 36271 . 93190 . 37892 . 92543 . 39501 . 91868 . 41098 . 91164 44 17 . 34666 . 93799 . 36298 . 93180 . 37919 .92532 . 3952S . 91856 . 41125 . 91152 43 18 . 34694 . 93789 .36325 . 93169 . 37946 . 92521 . 39555 . 91845 .41151 .91140 42 19 . 34721 . 93779 . 36352 . 93159 . 37973 . 92510 . 39581 . 91833 . 41178 . 91128 41 20 . 34748 . 93769 . 36379 . 93148 . 37999 . 92499 .39608 . 91822 . 41204 .91110 40 21 . 34775 . 93750 .36406 . 93137 . 38026 . 92488 .39635 . 91810 . 41231 . 91104 39 22 .34803 . 93748 . 36434 . 93127 . 38053 . 92477 . 39061 . 91799 . 41257 . 91092 38 23 . 34830 . 93738 . 36401 . 93116 . 38080 . 92466 . 39688 . 91787 . 41284 .91080 37 24 .34857 . 93728 .36488 . 93106 . 38107 . 92455 . 39715 . 91775 . 41310 .91068 36 25 . 34884 . 93718 . 36515 .93095 .38134 . 92444 . 39741 . 91704 . 41337 . 91056 35 2(1 . 34912 . 93708 .36542 . 93084 . 38161 . 92432 . 39768 . 91752 .41363 . 91044 34 27 . 34939 . 93698 . 36569 . 93074 .38188 . 92421 . 39795 . 91741 . 41390 . 91032 33 28 . 34966 . 93688 .36596 .93063 .38215 . 92410 . 39822 . 91729 . 41416 . 91020 32 29 . 34993 . 93677 .36623 . 93052 . 38241 . 92399 . 39848 .91718 . 41443 .91008 31 30 . 35021 . 93667 .36050 . 93042 . 38268 . 92388 . 39875 .91706 . 41409 . 90990 30 31 .35048 . 93657 .36677 . 93031 . 38295 . 92377 .39902 . 91694 . 41496 . 90984 29 32 . 35075 . 93647 . 36704 . 93020 . 38322 . 92366 . 39928 .91683 . 41522 . 90972 28 33 . 35102 . 93637 . 36731 . 93010 . 38349 . 92355 . 39955 . 91671 . 41549 . 90960 27 34 . 35130 . 93626 . 36758 . 92999 . 38376 . 92343 .39982 . 91660 . 41575 . 90948 20 35 . 35157 . 93616 .36785 . 92988 .38403 . 92332 .40008 . 91648 .41602 .90936 25 30 . 35184 .93606 . 36812 . 92978 . 38430 . 92321 .40035 . 91636 . 41628 .90924 24 37 . 35211 .935% .36839 .92967 .38456 . 92310 .40062 .91625 .41655 .90911 23 38 . 35239 .93585 .36867 . 92956 . 38483 . 92299 .40088 . 91613 . 41681 . 90899 22 39 . 35266 .93575 . 36894 .92945 .38510 . 92287 .40115 .91601 . 41707 .90887 21 40 .35293 .93565 . 36921 .92935 .38537 . 92276 . 40141 . 91590 . 41734 .90875 20 41 .35320 . 93555 . 36948 . 92924 .38564 . 92265 .40168 . 91578 .41760 .90863 19 42 . 35347 . 93544 . 36975 . 92913 .38591 . 92254 . 40195 . 91566 . 41787 .90851 18 43 . 35375 . 93534 .37002 .92902 . 38617 . 92243 . 40221 . 91555 .41813 . 90839 17 44 . 35402 . 93524 . 37029 . 92892 . 38644 . 92231 . 40248 . 91543 .41840 .90826 JO 45 . 35429 . 93514 .37056 . 92881 . 38671 .92220 . 40275 . 91531 . 41866 .90814 15 40 .35456 .93503 . 37083 . 92870 . 38698 . 92209 .40301 . 91519 . 41892 .90802 14 47 .35484 . 93493 . 37110 .92859 . 38725 . 92198 .40328 . 91508 . 41919 .90790 13 48 . 35511 . 93483 . 37137 . 92849 . 38752 . 92186 . 40355 .91496 . 41945 .90778 12 49 . 35538 . 93472 . 37164 .92838 . 38778 . 92175 .40381 . 91484 . 41972 . 90766 11 50 .35565 . 93462 . 37191 . 92827 . 38805 . 92164 .40408 . 91472 . 41998 . 90753 10 51 . 35592 . 93452 . 37218 . 92816 . 38832 . 92152 . 40434 . 91461 .42024 .90741 9 52 .35619 . 92441 . 37245 . 92805 .38859 . 92141 . 40461 . 91449 . 42051 .90729 8 53 . 35647 . 93431 . 37272 . 92794 . 38886 . 92130 . 40488 . 91437 . 42077 . 90717 7 54 . 35674 . 93420 . 37299 . 92784 . 38912 .92119 . 40514 . 91425 . 42104 . 90704 55 . 35701 . 93410 . 37326 . 92773 . 38939 . 92107 .40541 . 91414 . 42130 . 90692 5 50 . 35728 .93400 . 37353 . 92762 . 38966 . 92096 .40567 .91402 . 42156 . 90680 4 57 . 35755 . 93389 . 37380 . 92751 . 38993 .92085 . 40594 .91390 .42183 .90668 3 58 . 35782 . 93379 . 37407 . 92740 .39020 . 92073 .40621 . 91378 . 42209 .90655 2 59 .35810 . 93368 . 37434 . 92729 .39046 .92062 . 40647 . 91366 . 42235 .90643 1 60 .35837 . 93358 . 37461 . 92718 . 39073 . 92050 . 40674 . 91355 . 42262 .90631 ~ / Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. 69 68 67 66 65 110 TABLE 7. NATURAL SINES AND COSINES. 25 26 27 8* 29 Siue. Cosin. Sine. Cosin. Sine. Cosin. Sine. 1 Cosin. Sine. ] Cosin. 0| .42262 .90631 .43837 . 89879 .45399 . 89101 . 46947 . 88295! .48481 .8746260 1] .42288 .90618 . 43803 . 89867 . 45425 .89087 . 46973 .88281: .48506 .8744859 2 .42315 .90606 .43889 . 89854 . 45451 .89074 . 46999 . 88267 .48532 .8743458 3 .42341 . 90594 . 43916 . 89841 .45477 .89061 . 47024 . 88254 .48557 .87420 57 4 .42367 .90582 . 43942 .89828 . 45.503 .89048 .47050 . 88240 .48583 .8740656 5 .42394 .90569 .43968 . 89816 . 45529 .89035 . 47076 . 88226 . 48608 . 87391 55 6 .42420 .90557 . 43994 .89803 . 45554 .89021 . 47101 . 88213 . 48634 .8737754 7 .42446 . 90545 . 44020 . 89790 . 45580 .89008 .47127 .88199 . 48659 .87363:53 8 .42473 . 90532 . 44040 . 89777 .45606 . 88995 . 47153 .88185 .48684 .87349:52 9! .42499 . 90520 . 44072 . 89764 . 4.5632 . 88981 . 47178 .88172 . 48710 . 87335 51 10 . 42525 .90507 . 44098 . 89752 . 45658 .88968 . 47204 .88158 . 48735 . 87321 50 11 . 42552 . 90495 .44124 . 89739 .45684 . 88955 . 47229 . 88144 . 48761 .87306 49 12 . 42578 . 90483 . 44151 . 45710 .88942 . 47255 . 88130 . 48786 .87292148 13 .42604 . 90470 . 44177 '. 89713 .45736 . 88928 . 47281 . 88117 .48811 . 87278 47 14 .42631 .90458 . 44203 . 89700 . 45762 . 88915 .47306 .88103 . 48837 . 87264 46 IS . 42657 .90446 . 44229 .89687 . 45787 .88902 . 47332 . 88089 . 48862 . 87250 45 Ifi .42683 .90433 . 44255 . 89674 .45813 .88888 .47358J .88075 .48888 .8723544 17 .42709 .90421 . 44281 .89662 .45839 .88875 .47383! .88062 . 48913 . 87221 43 IS . 42736 .90408 . 44307 . 89649 . 45865 .88862 .474091 .88048 . 48938 . 87207 42 19 . 42762 .90396 .44333 . 45891 .88848 .47434| .88034 . 48964 .87193J 41 20 .42788 .90383 . 44359 ! 89623 . 45917 .88835 .47460 .88020 . 48989 .8717840 21 . 42815 .90371 .44385 . 89610 . 45942 .88822 . 47486 .88006 .49014 .8716439 22 . 42841 .90358 .44411 . 89597 . 45968 .88808 .47511 . 87993 .49040 . 87150 38 23 . 42867 .90346 . 44437 .89584 . 45994 . 88795 . 47537 . 87979 . 49065 . 87136 37 24 . 42894 . 90334 . 44464 . 89571 . 46020 .88782 . 47562 . 87965 . 49090 . 87121 36 25 . 42920 .90321 . 44490 . 46046 . 88768 .47588 . 87951 .49116 . 87107 35 20 . 42946 .90309 . 44516 ! 89545 . 46072 .88755 . 47614 . 87937 . 49141 . 87093 :n 27 . 42972 . 90296 . 44542 . 89532 .46097 . 88741 . 47639 . 87923 . 49160 .87079 33 28 .42999 . 90284 . 44568 . 89519 . 46123 .88728 . 47665 .87909 . 49192 .87064 32 29 . 43025 . 90271 . 44594 . 46149 .88715 . 47690 . 87896 . 49217 .87050 31 30 . 43051 .90259 . 44620 ! 89493 . 46175 .88701 . 47716 . 87882 . 49242 . 87036 30 31 . 43077 .90246 .44646 . 89480 . 46201 .88688 . 47741 .87868 .49268 . 87021 29 32 . 43104 . 90233 . 44672 ! 89467 . 46226 .88674 . 47767 . 87854 . 49293 .87007 28 33 . 43130 . 90221 . 44698 . 89454 . 46252 .88661 . 47793 . 87840 . 49318 .86993 27 34 . 43156 .90208 . 44724 . 89441 .46278 .88647 . 47818 . 87826 . 49344 . 86978 20 35 . 43182 . 90196 .44750 . 89428 .46304 .88634 . 47844 .87812 . 49369 .86964 25 38 .43209 .90183 . 44776 ! 89415 .46330 .88620 . 47869 . 87798 . 49394 .86949 24 37 . 43235 .90171 .44802 . 89402 .46355 .88607 . 47895 .87784 . 49419 .86935 23 38 . 43261 .90158 . 44828 .46381 .88593 . 47920 . 87770 . 49445 . 86921 22 39 . 43287 .90146 . 44854 . 89376 .46407 .88580 . 47946 .87756 . 49470 . 86906 21 40 . 43313 .90133 .44880 . 89363 .46433) .88566 . 47971 .87743 . 49495 .8689220 41 . 43340 .90120 . 44906 . 893,50 . 46458 .88553 . 47997 . 87729 . 49521 .8687819 42 . 43366 . 90108 . 44932 . 89337 . 46484 .88539 . 48022 .87715 . 49546 .86863:18 43 . 43392 . 90095 . 44958 . 89324 . 46510 .88526 . 48048 . 87701 . 49571 .86849; 17 44 . 43418 . 90082 . 44984 .89311 .46536 .88512 . 48073 . 87687 . 49596 .8683416 45 . 43445 .90070 .45010 . 8929S . 46561 .88499 .48099 . 87673 . 49622 .86820! 15 46 . 43471 .90057 . 45036 . 89285 . 46587 .88485 .48124 . 87659 . 49647 .8680514 47 . 43497 .90045 .45062 . 89272 . 46613 . 88472 . 48150 .87645 . 49672 .86791! 13 48 . 43523 .90032 .45088 . 89259 .46639 .88458 . 48175 .87631 . 49697 .8677712 49 . 43549 .90019 .45114 . 89245 .46664 .88445 . 48201 . 87617 . 49723 .86762,11 50 .43575 .90007 . 45140 .89232 .46690 .88431 . 48226 .87603 . 49748 .8674810 51 .43602 .89994 . 45166 . 89219 . 46716 .88417 . 48252 .87589 . 49773 .86733 9 52 . 43628 .89981 . 45192 . 89206 . 46742 .88404 . 48277 . 87575 . 49798 . 86719 8 53 . 43654 .89968 . 45218 . 89193 . 46767 .88390 .48303 .87561 . 49824 . 86704 7 54 .43680 .89956 . 45243 . 89180 . 46793 . 88377 .48328 .87546 . 49849 . 86690 6 55 . 43706 . 89943 . 45269 . 89167 .46819 .88363 .48354 .87532 . 49874 . 86675 5 S6 . 43733 . 89930 . 45295 .89153 . 46844 .88349 .48379 . 87518 . 49899 .86661 4 57 . 43759 . 89918 . 45321 . 89140 .46870 .88330 . 48405 . 87504 . 49924 . 86646 3 58 . 43785 . 89905 . 45347 .89127 .46896 .88322 . 4S430 . 87490 .49950 .866321 2 59 .43811 . 89892 . 45373 .89114 . 40921 .88308 . 48456 . 87476 . 49975 . 86617 1 60 . 43837 .89879 . 45399 . 89101 . 46947 . 88295 . 48481 . 87462 .50000 . 86603 Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. / 64 63 62 61 60 111 TABLE 7. NATURAL SINES AND COSINES. 30 31 33 \ 33 34 Sine. Cosin. Sine. Cosin. Sine. Cosin. ] Sine. Cosin. Sine. Cosin. .50000 . 86603 .51504 .85717 . 52992 . 84805 .54464 .83867 . 55919 .8290460 1 .50025 .86588 . 51529 . 85702 . 53017 . 84789 .54488 .83851 . 55943 . 82887 59 2 .50050 . 86573 . 51554 .85687 .53041 . 84774 . 54513 . 83835 . 55968 .82871! 58 3 . 50076 . 86559 . 51579 .85672 . 53066 . 84759 . 54537 . 83819i . 55992 . 82855i57 4 .50101 . 86544 . 51604 . 85657 .53091 .84743 . 54561 .83804' . 56016 . 82839' 56 5 . 50126 . 86530 . 51628 .85642 .53115 . 84728 . 545,8(1 . 83788| . .56040 . 82822 1 55 6 .50151 . 86515 . 51653 . 85627 . 53140 .84712 . 54610 .83772 .56064 . 82806 54 7 . 50176 .86501 .51678 .85612 . 53164 . 84697 .54635 .83756i .56088 !82790'53 8 .50201 . 86486 . 51703 . 85597 . 53189 .84681 . 54659 . 83740 .56112 . 82773 52 9 .50227 .86471 . 51728 .85582 . 53214 . 84666 . 546X3 .83724' . 56136 .8275751 10 .50252 .86457 .51753 .85567 .53238 .84650 . 54708 . 83708 i .56160 .8274150 11 .50277 . 86442 . 51778 . 85551 . 53263 . 84635 . 54732 . 83692 .56184 .8272449 12 . 50302 . 86427 . 51803 .85536 .53288 .84619 . 54756 . 83676 .56208 . 82708 48 13 .50327 . 86413 . 51828 . 85521 .53312 .84604 .54781 . 83660 . 56232 . 82692 47 14 .50352 . 86398 . 51852 . 85506 . 53337 .84588 .54805 .83645 . 56256 .82675 16 15 .50377 .86384 . 51877 .85491 .53361 .84573 . 54829 . 83629 . 56280 . 82659 15 10 .50403 . 86369 .51902 .85476 .53386 . 84557 .54854 . 83613 . 56305 .82643 44 17 .50428 . 86354; . 51927 . 85461 .53411 . 84542! . 54878 . 83507 . 56329 . 82626 43 18 . 50453 . 86340! . 51952 . 85446 . 53435 .84526' . 54902 . 835S1 . 56353 . 82610 19 .50478 .86325 . 51977 . 85431 .53460 .84511! . 54927 . 83565 .56377 . 82593 41 20 .50503 . 86310J . 52002 .85416 . 53484 . 84495' . 54951 .83549 .56401 . 82577 40 21 .50528 . 86295! . 52026 . 85401 .53509 .84480 . 54975 . 83533 . 56425 . 82561 ',9 22 .50553 .8628l| . 52051 . 85385 .53534 . 84464' . 54999 . 83517 . 56449 . 825-14 23 .50578 . 86266, . 52076 . 85370 .53558 . 84448 1 .55024 .83501 . 56473 . 82528 17 24 .50603 .86251 . 52101 . 85355 .53583 . 84433 .55048 . 83485 . 56497 .82511 J6 25 . 50628 . 86237 j . 52126 . 85340 . 53607 .84417 . 55072 .83469 . 56521 . 82495 35 2( .50654 . 86222 . 52151 . 85325 . 53632 . 84402; .55097 .83453 . 56545 . 82478 14 27 .50679 . 86207 . 52175 .85310 .53656 . 84386 . 55121 .83437 . 56569 . 82462 33 28 .50704 . 86192 . 52200 . 85294 .53681 .84370 . 55145 . 83421 . 56593 . 82446 32 2! . 50729 . 86178 . 52225 . 85279 . 53705 . 84355! . 55169 .83405 .56617 . 82425 n 30 .50754 .86163 .52250 .85264 . 53730 .84339; . 55194 .83389 .56641 . 82413 30 31 .50779 . 86148 1 . 52275 . 85249 . 53754 .84324! . 55218 .83373 . 56665 . 82396 28 32 .50804 . 86133 . 52299 . 85234 .53779 . 84308 . 55242 .83356 .566891 .82380 28 33 .50829 .86119 . 52324 . 85218 .53804 .84292 . 55266 . 83340 .567131 .82363 27 34 .50854 . 86104 . 52349 . 85203 . 53828 . 84277 . 55291 .83324 .56736! .82347 26 35 .50879 .86089 . 52374 .85188 .53853 . 84261 . 55315 . 83308 .56760 . 82330 25 3< .50904 . 86074 . 52399 . 85173 .53877 . 84245 .55339 .83292 . .56784 .82314 24 37 .50929 .86059 . 52423 . 85157 . 53902 . 84230 .55363 . 83276 .56808 .82297 23 38 .50954 .86045 . 52448 . 85142 . 53926 .84214 .55388 . 83260 .56832! .82281 22 3< .50979 . 86030 . 52473 . 85127 . 53951 . 84198 .55412 . 83244 .56856! .82264 21. 4( .51004 .86015 . 52498 . 85112 . 53975 .84182 .55436 .83228 .56880 .82248 20 41 . 51021 .86000 .52522 .85096 .54000 . 84167 .55460 .83212 .56904 . 82231 19 42 . 51054 . 85985 . 52547 . 8.5081 .54024 .84151 .55484 .83195 . 56928 . 82214 18 43 . 51079 . 85970 . 52572 . 85066 .54049 . 84135 .55509 .83179 . 56952 . 82198 17 44 . 51104 . 85956 . 52597 . 85051 .54073 .84120 .55533 .83163 . 56976 .82181 16 4f . 51129 . 85941 . 52621 .85035 . 54097 . 84104 .55557 .83147 .57000 . 82165 15 46 . 51154 . 85926 .5264( .85020 . 54122 .84088 .55581! .83131 . 57024 . 82148 14 47 .51179 . 85911 . 52671 .85005 .54146 .84072 .55605: .83115 . 57047 . 82132 13 48 . 51204 . 85896 . 52696 .84989 .54171 . 84057 .55630! .83098 . 57071 .82115 12 4f . 51229 .85881 . 52720 . 84974 .54195 . 84041 .5565-1 .830S2 . 57095 . 82098 11 50 . 51254 .85866 . 52745 .84959 .54220 .84025 .55678 .83066 .57119 . 82082 10 51 . 51279 .85851 . 52770 . 84943 .54244 .84009 .55702 .83050 . 57143 .82065 9 52 . 51304 . 85836 . 52794 .84928 . 54269 .83994 .55726 .83034 . 57167 . 82048 8 53 . 51329 . 85821 . 52819 . 84913 . 54293 .83978 .55775' .83017 . 57191 . 82032 7 54 .51354 .85806 . 52844 . 84897 .54317 . 83962 .55775: .83001 .57215 . 82015 6 5; . 51379 . 85792 . 52869 .84882 . 54342 .839^6 .55799: .82985 . 5723S . 81999 5 .51404 . 85777 . 52893 . 84866 . 54366 . 83930 .55823 .82969 . 57262 . 81982 4 5" . 51429 . 85762 . 52918 . 84851 .54391 . 83915 .55847 .82953 . 5728(3 .81965 1 3 58 . 51454 . 85747 . 52943 .84830 .54415 .83899 .55871: .S293< . 57310 . 81949 2 59 . 51479 . 85732 . 52967 .84820 .5444CI .83883 .55895 .82920 . 57334 . 81932 1 60 .51504 . 85717 . 52992 . 84805 .54464 .83867 . 55919 .82904 . 57358 .81915 Cosin. Sine. Cosin. 1 Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. f 59 58 57 56 55 112 TABLE 7. NATURAL SINES AND COSINES. 35 36 37 || 38 39 Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. . 57358 .81915 . 58779 .80902 .60182 . 79864 . 61566 .78801 . 62932 .77715 GO 1 . 57381 . 81899 . 5xS<)2 . 80885 .60205 . 79846 .61589 . 78783 . 02955 . 77696 59 j . 57405 . 81882 . 5S826 . 80807 . 60228 . 79829 . 61612 . 78765 . 62977 . 77678 56 a .57429 . 81865 . 58849 .80850 . 60251 . 79811 . 61035 . 78747 .63000 .77660 57 4 .57453 .81848 . 58873 . 80833 . 60274 . 79793 . 61058 . 78729 . 63022 . 77641 50 | . 57477 . 81832 . 58890 . 80810 . 60298 . 79776 .61081 .78711 . 63045 . 77623 55 .57501 .81815 . 58920 . 80799 . 60321 .79758 . 61704 . 78694 . 63008 . 77005 54 ~ . 57524 .SI 70S . 58943 . 80782 . 60344 . 79741 . 61726 . 78676 .63090 .77586 S3 x . 57548 . 81782 . 589(57 . 80705 . 603(57 . 79723 . 61749 .78658 .63113 . 77568|52 9 . 57572 .81765 . 58990 .80748 . 60390 . 79700 . 61772 .78640 . 63135 . 77550 J51 10 . 57596 .81748 . 59014 . 80730 .60414 . 79688 . 61795 . 78622 .63158 . 77531 50 11 . 57619 . 81731 . 59037 . 80713 . 60437 . 79671 . 61818 .78604 . 63180 . 77513149 12 . 57643 .81714 .59061 . 80690 .60460 . 79653 . 61841 .78586 .63203 . 77494 48 13 . 57667 .81098 . 59084 . 80679 . 60483 . 79635 . 61864 . 78568 .63225 . 77476|47 14 . 57691 .81681 . 59108 . 80662 . 60506 . 79618 . 61887 .78550 . 63248 . 77458146 L5 . 57715 . 81664 . 59131 . 80644 .60529 .79600 .61909 .78532 .63271 . 77439 45 16 . 57738 . 81647 . 59154 . 80627 . 60553 . 79583 . 61932 . 78514 . (53293 .77421144 17 . 57762 .81631 . 59178 . 80610 . 60576 .79565 .61955 . 78496 . 63316 .77402 43 is . 57780 .81614 .59201 . 80593 .60599 . 79547 . 61978 . 78478 .63338 . 77384 42 19 . 57810 . 81597 . 59225 . 80576 . 60622 .79530 .62001 .78460 . 63361 . 77366 41 20 .57833 .81580 . 59248 .80558 . 60645 . 79512 . 62024 .78442 .63383 . 77347 40 21 . 57857 . 81563 . 59272 .80541 .60668 . 79494 . 62046 .78424 . 63406 . 77329 39 22 .57881 . 81546 . 59295 .80524 .60691 . 79477 . 62069 .78405 .03428! .77310 38 23 .57904 .81530 . 59318 .80507 .60714 . 79459 . 62092 . 78387 . 63451 1 .77292 37 24 . 57928 .81513 . 59342 . 80489 .60738 . 79441 . 62115 . 78369 . 63473 . 77273 30 -'_) . 57952 .81496 . 59365 .80472 .60761 .79424 . 62138 .78351 . 63496 . 77255 35 26 . 57976 .81479 .59389 . 80455 .60784 .79406 ..681$) . 78333 . 03518 .77236 34 )- .57999 .81462 . 59412 .80438 .60807 . 79388 . 62183 .78315 .63540 . 77218 33 2S .58023 .81445 . 59436 .80420 .60830 . 79371 .62206 . 78297 .63563 . 77199 32 M . 5S047 .81428 . 59459 .80403 .60853 . 79353 . 62229 . 78279 .63585 . 77181 31 30 .58070 .81412 . 59482 .80386 .60876 .79335 . 62251 . 78261 .63608 . 77162 30 31 . 58094 . 81395 .59506 .80368 .60899 . 79318 . 62274 . 78243 . 63630 . 77144 29 32 .58118 . 81378 . 59529 . 80351 .60922 .79300 . 62297 . 78225 . 63653 . 77125 28 33 . 58141 . 81361 .59552 .80334 .60945 .79282 . 62320 . 78206 .63675 . 77107 27 ;;-< . 58165 . 81344 . 59576 .80316 .60968 .79264 . 62342 .78188 .63698 .77088 26 35 . 58189 . 81327 . 59599 . 80299 .60991 . 79247 . 62365 . 78170 .63720' .77070 25 36 . 5S212 .81310 . 59622 .80282 . 61015 .79229 . 62388 . 78152 .63742 .77051 24 37 . 58236 .81293 . 59646 . 80264 . 61038 .79211 . 62411 . 78134 .63765 .77033 23 3S . 58260 . 81276 .596(59 .80247 . 61061 . 79193 . 62433 .78116 .63787 .77014 22 39 . 58283 . 81259 .59693 .80230 .61084 . 79176 . 62456 .78098 .63810 .76990 21 40 .58307 .81242 . 59716 .80212 . 61107 . 79158 . 62479 .78079 .63832; .76977 20 41 .58330 . 81225 . 59739 .80195 . 61130 . 79140 .62502 .78061 .63854; .76959 19 42 . 5S354 .81208 . 59763 .80178 . 61153 . 79122 . (52524 . 78043 .63877; .76940 18 43 .58378 .81191 . 59786 .80160 . 61176 . 79105 . 62547 , 78025 .63899! .76921 17 44 . 58401 .81174 .59809 .80143 .61199 .79087 . 62570 . 78007 1 . 63922 . 76903 10 45 . 58425 .81157 . 59832 . 80125 . 61222 .79069 .62592 .77988 .63944 .76884 15 46 .58449 . 81140 . 59850 .80108 . 61245 .79051 . 62615 . 77970 .63966 .76860 14 47 .58472 .81123 . 59S79 .80091 . 61268 .79033 ..62638 . 77952 .63989i .76847 13 48 . 5849C .81106 .59902 . 80073 . 61291 . 79016 .62660 . 77934 .64011 . 76828 12 49 . 58519 . 81089 .59926 .80056 .61314 . 78998 . 62683 . 77916 .64033 .76810 11 50 .58543 .81072 . 59949 .80038 . 61337 . 78980 . 62706 .77897 .64056 . 76791 10 :il . 58567 . 81055 . 59972 .80021 .61360 .78962 . 62728 . 77879 .64078 . 76772 9 32 .58590 .81038 . 59995 .80003 .61383 . 78944 . 62751 .77861 .64100 . 76754 8 53 .58614 . 81021 .60019 . 79986 .61406 .78926 . 62774 .77843 . 64123 . 76735 7 54! .58637 . 81004 .60042 .79968 .61429 .78908 . 62796 . 77824 . 64145 . 76717 6 55J .586G1 .80987 . 00005 . 79951 .61451 .78891 . 62819 .77806 . 64167 . 76698 5 56 .58684 . 80970 . 00089 . 79934 .61474' .78873 .62842 .777881 .64190 . 76679 4 5-1 -58708J .80953 .00112 .79916 .61497 .78855 . 62864 . 77769 .64212 .76661 3 58 .58731 .80931 .60135 . 79899 .61520 .78837 .62887 . 77751 .64234 . 76642 2 59! -587551 .80919 . 60158 . 79881 .61543 .78819 . 62909 . 77733 . 64256 .76623 1 00 . 58779 .80902 . 60182 . 79864 .61566 .78801 . 62932 . 77715 .64279 .76604 Cosin. Sine. Cosin. Sine. Cosin. 1 Sine. Cosin. Sine. Cosin. Sine. 54 53 52 51 50 4147910 8 113 TABLE 7. NATURAL SINES AND COSINES. 40 41 43 43 44 Sine. Cosin. Sine. Cosin. Sine. | Cosin. Sine. Cosin. Sine. Cosin. . 64279 . 76604 . 65606 . 75471 .66913 .74314 .68200 .73135 .69466 .7193400 ] . 64301 . 76586 .65628 . 75452 .66935 . 74295 .68221 .73110 .09487' .7191459 2 . 64323 .76567 . 65650 . 75433 .66956 . 74276 . 68242 . 73090 .G9fjs . 71S94 58 3j .64346 .76548 .65672 . 75414 . 66978 . 74256 . 68264 . 73076 .69529 .7187357 4 .64368 . 76530 . 65694 . 75395 . 6G999 . 74237 . 68285 . 73056 . 69549 . 71853 56 5 .64390 .70511 .65716 . 75375 . 67021 . 74217 . 68306 . 73036 . 69570 .71833 55 6 . 64412 . 76492 . 65738 . 75356 . 67043 . 74198 . 68327 . 73016 . 69591 . 71813 54 7 . 64435 . 76473 . 65759 . 75337 . 67064 . 74178 . 68349 .729% . 69012 . 71792 ,53 8 . 64457 .76455 . 65781 . 75318 . 67086 . 74159 . 68370 . 7297G . 69033 . 71772 52 9 . 64479 . 76436 .65803 . 75299 . 67107 .74139 . 68391 . 72957 . 69654 .717.32,-,! 10 . 64501 .76417 .65825 . 75280 . 67129 . 74120 . 68412 . 72937 . 69675 . 71732 50 11 . 64524 . 76398 . 65847 . 75261 . 67151 .74100 . 68434 .72917 . 6969C .71711 49 12 . 64546 . 76380 . 65869 . 75241 . 67172 .74080 . 68455 . 72897 .69717 . 71091 '48 13 . 64568 . 76361 . 65891 . 75222 . 67194 . 74061 . 68470 . 72877 69737 71071 17 14 . 64590 . 76342 . 65913 . 75203 . 67215 . 74041 . 68497 .72857 . 69758 . 71650 15 . 64612 .76323 .65935 . 75184 . 67237 . 74022 . 68518 . 72837 . 69779 . 71630'45 16 . 64635 . 76304 .65956 . 75165 . 67258 .74002 . 68539 . 72817 .69800 . 71610 44 17 .64657 . 76280 . 65978 . 75146 . 67280 . 73983 .68561 . 72797 . 69821 . 71590J43 IS . 64679 .76267 .66000 . 75 120 . 67301 . 73963 .68582 . 72777 . OOS42 .71509 42 19 . 64701 . 76248 .66022 . 75107 . 67323 . 73944 . 68603 . 72757 . 69862 . 71549 41 20 . 64723 . 76229 .66044 . 75088 . 67344 . 73924 . 68624 . 72737 . 69883 . 71520 140 21 . 64746 . 76210 . 66066 . 75069 . 67366 .73904 . 68645 . 72717 .69904 . 71508 139 22 . 64768 . 7G192 .60088 .75050 . 67387 .73885 . 68666 . 72097 . 69925 . 714S8J38 23 . 64790 . 76173 . 66109 . 75030 . 67409 . 73865 .68688 . 72677 .6994( . 71468 37 24 . 64812 . 76154 . 66131 . 75011 . 67430 . 73846 .68709 . 72657 . 69966 . 71447 36 25 . 64834 . 76135 . 66153 . 74992 . 67452 . 73826 . 68730 . 72637 .69987 . 71427 35 26 .64856 .76116 . 66175 . 74973 . 67473 .73806 . 68751 . 72617 .70008 . 71407 34 27 .64878 .76097 . 66197 . 74953 . 67495 . 73787 . 68772 . 72597 . 70029 . 7138( 33 28 . 64901 .76078 . 66218 . 74934 . 67516 . 73767 . 68793 . 72577 .70049 . 713GG 32 29 . 64923 . 76059 . 66240 . 74915 . 67538 . 73747 . 68814 . 72557 .70070 .7134531 30 .64945 .76041 . 66262 . 74896 . 67559 . 73728 .68835 . 72537 .70091 . 71325 30 31 .64967 .76022 . 66284 . 74876 .67580 . 73708 .68857 . 72517 . 70112 . 71305 29 32 . 64989 .76003 .66306 . 74857 .67602 . 73688 .68878 . 72497 . 70132 . 71284|28 33 .65011 . 75984 . 66327 .74838 . 67623 . 73669 . 68899 . 72477 . 70153 . 71204 27 34 . 65033 .75965 . 66349 . 74818 . 67645 . 73649 . 68920 . 72457 . 70174 . 71243 26 35 .65055 . 75946 .66371 . 74799 . 67666 . 73629 . 68941 . 72437 . 70195 . 71223 25 3(5 .65077 . 75927 .66393 . 74780 . 67688 . 73010 . 68962 . 72417 . 70215 . 71203 24 37 . 65100 .75908 . 66414 .74760 . 67709 .73590 . 6S9S3 . 72397 . 70236 . 71182 23 38 .65122 . 75889 . 66436 . 74741 . 67730 . 73570 .69004 . 72377 . 70257 . 71162 22 39 . 65144 . 75870 .66458 . 74722 . 67752 . 73551 . 69025 . 72357 . 70277 .7114121 40 .65166 .75851 . 66480 . 74703 . 67773 . 73531 .69046 . 72337 . 7029S .7J121 _'0 41 .65188 . 75832 . 66501 .74683 . 67795 . 73511 .69067 . 72317 .70319 . 71100 19 42 . 65210 . 75813 . 66523 . 74664 . 67816 . 73491 . 69088 . 72297 . 70339 .71080 18 43 .65232 . 75794 . 6G545 . 74644 . 67837 . 73472 .69109 72277 . 70300 . 71059 17 44 .65254 . 75775 . 66566 . 74625 .67859 . 73452 . 69130 ! 72257 . 70381 .71039; 16 45 .65276 . 75756 . 66588 .74606 .67880 . 73432 . 69151 . 72230 . 70401 . 71019 15 4(1 . 65298 . 75738 . 66610! . 74586 .67901 . 73413 . 69172 .72216 . 70422 . 7099814 47 .65320 . 75719 . 666321 . 74567 . 67923 . 73393 . 69193 .721% . 70443 . 70978 13 48 .65342 . 75700 .66653 . 74548 . 67944 . 73373 . 69214 .72176 . 70403 . 70957 12 49 . 65364 . 75680 .66675 . 74528 . 67965 . 73353 . 69235 . 721 56 . 70484 . 70937 11 50 .65386 . 75661 . 66697 . 74509 . 67987 . 73333 . 69256 . 7213G . 70505 . 70910 10 51 .65408 . 75642 . 66718 . 74489 .68008 . 73314 . 69277 .72116 . 70525 . 70S90 9 52 .65430 . 75623 . 66740 . 74470 .68029 .73294 .69298 . 72095 . 70546 . 70875 8 53 .65452 .75604 . 66762 . 74451 . 68051 . 73274 .69319 . 72075 . 705G7 .70855 7 54 . 65474 . 75585 . 66783 . 74431 . 68072 . 73254 . 69340 . 72055 . 70587 . 70834 6 55 . 6549G . 75566 . 66805 . 74412 .68093 . 73234 . 69361 . 72035 . 70608 . 7081 3 5 5G . 65518 . 75547 . 66827 . 74392 .68115 . 73215 . 69382 . 72015 . 70028 . 70793 4 57 . 65540 . 75528 . 66848 . 74373 . 68136 . 73195 . 69403 . 71995 . 70649 . 70772 3 58 .65562 . 75509 . 66870 . 74353 . 68157 . 73175 . 69424 . 71974 . 70670 . 70752 2 59 . 65584 . 75490 . 6G891 . 74334 . 6S179 . 73155 . 69445 . 71954 . 70690 . 70731 1 GO .65606 . 75471 . 66913 . 74314 . 68200 . 73135 . 69466 . 71934 . 70711 . 70711 Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. f 49 48 47 46 45 114 TABLE 8.-NATURAL TANGENTS AND COTANGENTS. t 1 2 3 Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. .00000 Infinite. .01746 57. 2900 .03492 28. 6363 .05241 19.0811 60 1 . 00029 3487. 75 .01775 56. 3-506 . 03521 28. 3994 . 05270 18. 9755 59 2 .00058 1718.87 .01804 55.4415 . 03550 28.1664 . 05299 18. 8711 58 3 .00087 1145.92 .01833 54.5613 . 03579 27. 9372 . 05328 18. 7678 57 4 .00116 859. 436 . 01862 53. 7080 . 03609 27. 7117 . 05357 18. 6656 56 5 .00145 687. 549 . 01891 52. 8821 . 03638 27. 4899 . 05387 18.5645 55 6 .00175 572. 957 . 01920 52. 0807 . 03667 27.2715 .05416 18. 4645 54 7 . 00204 491. 106 .01949 51. 3032 .03096- 27. 0566 .05445 18. 3655 53 8 . 00233 429. 718 .01978 50. 5485 . 03725 26. 8450 .05474 18. 2677 52 9 .00262 381.971 .02007 49. 8157 . 03754 26. 6367 . 05503 18. 1708 51 10 . 00291 343. 774 . 02036 49. 1039 . 03783 26. 4316 . 05533 18. 0750 50 11 .00320 312. 521 . 020G6 48.4121 .03812 26. 2296 .05562 17. 9802 49 12 . 00349 286. 478 . 02095 47. 7395 . 03842 26. 0307 . 05591 17. 8863 48 13 . 00378 264. 441 .02124 47. 0853 . 03871 25. 8348 . 05620 17. 7934 47 14 .00407 245. 552 . 02153 46. 4489 .03900 25. 6418 . 05649 17.7015 46 15 .00136 229. 182 . 02182 45. 8294 . 03929 25. 4517 . 05678 17. 6106 45 16 .00465 214. 858 .02211 45. 2261 . 039,58 25.2644 . 05708 17. 5205 44 17 . 00495 202. 219 . 02240 44. 6386 .03987 25.0798 . 05737 17.4314 43 18 .00524 190. 984 . 02269 44. 0661 . 04016 24. 8978 . 05766 17. 3432 42 19 .00553 180. 932 .02298 43. 5081 . 04046 24. 7185 . 05795 17.2558 41 20 .00582 171.885 . 02328 42. 9641 . 04075 24. 5418 .05824 17. 1693 40 21 .00611 163. 700 . 02357 42. 4335 . 04104 24. 3675 .05854 17. 0837 39 22 . 00640 156. 259 . 02386 41.9158 . 04133 24. 1957 . 05883 16. 9990 38 23 . 00669 149. 465 .02415 41.4106 . 04162 24. 0263 .05912 16. 9150 37 24 . 00698 143. 237 . 02444 40. 9174 .04191 23. 8593 . 05941 16.8319 36 25 . 00727 137. 507 . 02473 40. 4358 . 04220 23. 6945 . 05970 16. 7496 35 26 . 00756 132. 219 . 02502 39. 9655 .04250 23. 5321 . 05999 16. 6681 34 27 .00785 127. 321 .02531 39. 5059 . 04279 23. 3718 . 06029 16. 5874 33 28 .00815 122. 774 . 02560 39. 0568 .04308 23. 2137 .06058 16. 5075 32 29 . 00844 118.540 .02589 38. 6177 . 04337 23.0577 .06087 16.4283 31 30 .00873 114. 589 . 02619 38. 1885 . 04366 22. 9038 .06116 16. 3499 30 31 .00902 110. 892 .02648 37. 7686 .04395 22. 7519 . 06145 16. 2722 29 32 .00931 107. 426 . 02677 37. 3579 . 04424 22. 6020 . 06175 16. 1952 28 33 . 00960 104. 171 . 02706 36. 9560 . 04454 22. 4541 .06204 16. 1190 27 34 . 00989 101. 107 .02735 36. 5627 . 04483 22. 3081 .06233 16.0435 26 35 .01018 98. 2179 .02764 36. 1776 .04512 22. 1640 .06262 15. 9687 25 36 . 01047 95. 4895 . 02793 35.8006 . 04541 22. 0217 .06291 15. 8945 24 37 .01076 92. 9085 .02822 35. 4313 . 04570 21.8813 . 06321 15. 8211 23 38 .01105 90. 4633 . 02851 35. 0695 . 04599 21. 7426 .06350 15. 7483 22 39 .01135 88. 1436 .02881 34. 7151 .01628 21. 6056 .06379 15. 6762 21 40 .01164 85. 9398 .02910 34. 3678 .04658 21. 4704 .06408 15. 6048 20 41 .01193 83. 8435 .02939 34. 0273 .04687 21. 3369 .06437 15. 5340 19 42 .01222 81. 8470 . 02968 33. 6935 .04716 21. 2049 .06467 15. 4638 18 43 . 01251 79. 9434 . 02997 33. 3662 . 04745 21. 0747 .06496 15. 3943 17 44 .01280 78. 1263 . 03026 33. 0452 . 04774 20. 9460 . 06525 15. 3254 16 45 . 01309 76. 3900 .03055 32. 7303 .04803 20. 8188 . 06554 15. 2571 15 46 . 01338 74. 7292 . 03084 32. 4213 . 04833 .20. 6932 .06584 15. 1893 14 47 . 01367 73. 1390 .03114 32. 1181 . 04862 20. 5691 . 06613 15. 1222 13 48 . 01396 71.6151 . 03143 31. 8205 .01891 20. 4465 . 06642 15. 0557 12 49 .01425 70. 1533 . 03172 31. 5284 . 04920 20. 3253 .06671 14. 9898 11 50 . 01455 68.7501 . 03201 31.2416 . 04949 20. 2056 .06700 14. 9244 10 51 . 01484 67. 4019 . 03230 30. 9599 . 04978 20. 0872 . 06730 14. 8596 9 52 .01513 66. 1055 . 03259 30. 6833 .05007 19. 9702 . 06759 14. 7954 8 53 .01542 64. 8580 .03288 30.4116 .05037 19. 8546 .06788 14. 7317 7 54 .01571 63. 6567 . 03317 30. 1446 .05066 19. 7403 .06817 14. 6685 6 55 .01600 62. 4992 . 03346 29. 8823 .05095 19. 6273 .06847 14. 6059 5 56 . 01629 61.3829 . 03376 29. 6245 . 05124 19.5156 . 06876 14. 5438 4 57 .01658 60.3058 . 03405 29.3711 . 05153 19. 4051 . 06905 14. 4823 3 58 .01687 59. 2659 . 03434 29.1220 . 05182 19. 2959 . 06934 14. 4212 2 59 . 01716 53. 2612 . 03463 28. 8771 .05212 19. 1879 . 06963 14. 3607 1 eo . 01746 57. 2900 . 03492 28. 6363 . 05241 19.0811 . 06993 14. 3007 Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. 89 88 87 86 115 TABLE 8. NATURAL TANGENTS AND COTANGENTS. 4 5 6 7 Tang. Cotang. Tang. Totting. Tang. Cotang. Tang. Cotang. .06993 14.3007 .08749 11.4301 . 10510 9. 51436 .12278 8. 14435 GO 1 . 07022 14.2411 . OS778 11.3919 . 10540 9. 4S781 . 12:508 8. 124X1 59 2 . 07051 14. 1821 .08807 11.3540 . 10569 9. 46141 . 12338 8. 10536 58 3 .07080 14. 1235 . 08837 11.3163 .10599 9. 43515 . 12367 8.08600 57 4 .07110 14.0655 . 08866 11.2789 . 10U28 9.40904 .12397 8. 06674 56 5 .07139 14. 0079 . 08895 11.2417 . 10657 9. 38307 . 12426 8. 04756 55 G . 07168 13. 9.507 .08925 11.2048 . 10687 9. 35724 . 12456 8. 02848 54 7 . 07197 13. 8940 .08954 11.1681 . 10716 9.33155 . 12485 8. 00948 53 8 . 07227 13.8378 . 08983 11. 1316 . 10746 9. 30599 . 12515 7. 99058 52 9 .07256 13. 7821 .09013 11.0954 . 10775 9. 28058 . 12544 7.97176 ri 10 .07285 13. 7267 .09042 11.0594 . 10805 9.25530 . 12574 7.95302 50 11 .07314 13. 6719 .09071 11.0237 . 10834 9. 23016 . 12603 7. 9343S 49 12 .07344 13.6174 .09101 10. 9SS2 . 10S63 9.20516 . 12033 7. 91582 48 13 .07373 13. 5634 .09130 10. 9529 . 10893 9. 18028 . 12(502 7. 89734 47 14 . 07402 13.5098 . 09159 10.9178 .10922 9.15554 . 12692 7. 87895 40 15 .074,'U 13. 4566 .09189 10. 8829 . 10952 9. 13093 .12722 7. 86064 45 16 . 07461 13. 4039 . 09218 10. S483 .10981 9.10646 . 12751 7. S4212 44 17 .07490 13.3515 .09247 10. 8139 .11011 9.08211 . 12781 7. 82428 4.1 18 . 07519 13. 29% .09277 10. 7797 .11040 9. 05789 . 12810 7.80822 42 19 .07548 13.2480 .09506 10. 7457 . 11070 9. 03379 . 12S40 7. 78825 41 20 . 0757S 13. 1969 . 09335 10.7119 .11099 9.00983 .12869 7.7703.-> 40 21 .07607 13. 1461 .09365 10. 6783 .11128 8. 98598 . 12899 7. 75254 39 22 .07636 13. 0958 .03394 10. 6450 . 11158 8.96227 .12929 7. 734SO 38 23 . 07665 13. 0458 . 09423 10.6118 .11187 8. 93S67 .12958 7.71715 37 24 . 07695 12. 9962 .09453 10. 5789 .11217 8.91520 .12988 7. 69957 36 25 . 07724' 12. 9469 .09482 10. 5462 .11246 8. 89185 .13017 7.68208 35 26 . 07753 12. 8981 .09511 10. 5136 .11276 8.86862 . 13047 7. 66466 34 27 . 077X2 12. 8496 . 09541 10. 4813 . 11305 8. 84551 . 13076 7. 64732 33 28 .07812 12.8014 . 09570 10.4491 .11335 8. 82252 . 1310G 7. 63005 32 29 . 07841 12. 7536 .09600 10.4172 .11364 8. 79964 . 13136 7. 61287 31 30 . 07870 12. 7062 .09629 10. 3854 . 11394 8. 77689 . 13165 7. 59575 30 31 .07899 12. 6591 .09658 10. 3538 . 11423 8. 75425 . 13195 7. 57872 29 32 . 07929 12.6124 .09688 10. 3224 . 11452 8. 73172 . 1.3224 7. 56176 28 33 . 07958 12. 5660 .09717 10. 2913 .11482 8. 70931 .18354 7. 54487 27 34 . 07987 12. 5199 .09746 10. 2602 .11511 8. 68701 .13284 7.52806 26 35 .08017 12.4742 . 09776 10. 2294 . 11541 8. 66482 . 13313 7. 51132 25 36 . 08046 12. 4288 .09805 10. 1988 .11570 8. 64275 . 13343 7. 49405 24 37 . 08075 12. 3838 . 09834 10. 16S3 .11600 8. 62078 . 13372 7.4TW6 23 38 .08104 12. 3390 .09864 10. 1381 . 11629 8. 59893 . 13402 7. 46154 22 39 .08134 12. 2946 . 09893 10. 1080 . 11659 8. 57718 . 13432 7. 44509 21 40 . 08163 12. 2505 .09923 10. 0780 .11688 8. 55555 . 13461 7.42S71 20 41 .08192 12. 2067 .09952 10. 0483 .11718 8. 53402 . 13491 7. 41240 19 42 .08221 12. 1632 .09981, 10. 0187 .11747 8. 512,59 . 13521 7. 39616 18 43 .08251 12. 1201 .10011 9. 98931 .11777 8. 49128 .13550 7. 37999 17 44 .08280 12. 0772 .10040 9. 96007 .11806 8. 47007 . 13580 7. 3G389 16 45 .08309 12. 0346 .10069 9.93101 .11836 8. 44896 .13609 7.34786 15 46 . 08339 11.9923 .10099 9. 90211 .11865 8. 42795 .13639 7. 33190 14 47 .08368 11.9504 . 10128 9. 87338 . 11895 8. 40705 . 13669 7. 31600 13 48 .08397 11. 9087 .10158 9. 844S2 . 11924 8. 38625 , 13698 7. 30018 12 49 . 08427 11.8673 . 10187 9. 81641 . 11954 8. 36555 .13728 7. 28442 11 50 .08456 11.8262 . 10216 9. 78817 .11983 8. 34496 .13758 7.26873 10 51 . 08485 11. 7853 .10246 8.76009 . 12013 8. 32446 . 13787 7.2.5310 9 52 .08514 11.7448 . 10275 9.73217 . 12042 8. 30406 . 13817 7. 23754 8 53 . 08544 11.7045 . 10305 9. 70441 . 12072 8. 28376 . 13846 7. 22204 7 54 . 08573 11.6645 . 10334 9. 67680 .12101 & 28866 . 13876 7.20661 6 55 .08602 11.6248 . 10363 9. 64935 . 12131 8. 24345 .13906 7. 19125 5 56 . 08G32 11.5S53 . 10393 9. 62205 . 12160 8. 22344 . 13935 7. 17594 4 57 . 08661 11.5461 . 10422 9. 59490 . 12190 8. 20352 . 13965 7. 16071 3 58 . 08690 11.5072 . 10452 9. 56791 . 12-219 8.18370 ! .13995 7. 14553 2 59 . 08720 11.4685 . 10481 9. 54106 . 12249 8. 16398 . 14024 7. 13042 1 60 . OS749 11.4301 . 10510 9. 51436 . 1227S 8. 144.35 . 14054 7. 11537 / Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. t 85 84 83 82 116 TABLE 8.-NATITRAL TANGENTS AND COTANGENTS. / \ i 1 1 1 1 Tang. Colang. Tang. Cotang. Tang. Cotang. Tang. Cotang. (7 .14054 7. 11537 .15838 6. 31375 . 17633 5. 67123 .19438 5. 14455 60 1 . 14084 7. 10038 . 15868 6. 30189 . 17663 5. 66165 . 13463 5. 13658 59 2 .14113 7. 08546 . 15898 6. 29007 .17693 5. 65205 . 19498 5. 12862 58 3 . 14143 7. 07059 . 15928 6.27829 . 17723 5. 64248 . 19529 5. 12069 57 4 .14173 7. 05579 15958 6. 26G55 . 17753 5. 63295 . 19559 5. 11279 56 5 .14202 7. 04105 . 15938 6. 25486 . 17783 5. 62344 .19589 5. 10490 55 . 14232 7. 02637 . 1(5017 6. 24321 . 17813 5. 61397 . 19619 5. 09704 54 7 . 14262 7.01174 .16047 6.23160 . 17843 5. 60452 . 19649 5. 08921 53 8 . 14291 6. 99718 .16077 6.22003 | . 17873 5. 5951 1 . 10080 5.0S139 52 9 . 14321 6. 9326S . 16107 6. 20851 . 17903 5. 5S573 . 19710 5. 07360 51 10 . 14351 6. 96823 . 16137 6. 19703 . 17933 5. 57638 . 19740 5. 06584 50 11 . 143S1 6. 95385 . 16167 6. 18559 . 17963 5. 56706 . 19770 5. 05809 49 12 . 14410 . 93952 . 16196 6. 17419 . 17993 5. 55777 . 19S01 5. 05037 48 13 . 14440 6. 92525 . 16226 6. 16283 . 18023 5. 54851 . 19831 5. 04267 47 14 . 14470 6.91104 . 16256 6. 15151 .18053 5. 53927 . 19861 5. 03499 46 15 .14-199 6. 89688 .16286 6. 14023 .18083 5. 53007 . 19891 5. 02734 45 16 . 14529 6. 88278 . 16316 6. 12899 . 18113 5. 52090 . 19921 5. 01971 44 17 . 14559 6. 86874 .16346 6. 11779 . 18143 5. 51176 . 19952 5.01210 43 18 . 14588 6. 85475 .16376 6. 10664 . 18173 5. 50264 . 19982 5. 00451 42 19 . 14618 6. 84082 . 16405 6. 09552 . 18203 5. 49356 .20012 4. 99695 41 20 . 14648 6. 82694 . 16435 6. 08444 . 18233 5. 48451 .20042 4. 98940 40 21 . 14678 6.81312 . 16465 6. 07340 . 18263 5. 47548 . 20073 4. 981S8 39 22 . 14707 6. 79936 . 16495 6. 06240 . 18293 5. 4G04S . 20103 4. 97438 38 23 . 14737 6. 78564 . 16525 6. 05143 . 1S323 5. 45751 . 20133 4. 96690 37 24 . 14767 6. 77199 . 16555 6. 04051 . 18353 5. 44857 . 20164 4. 95945 36 25 . 14796 6. 75838 .16585 6. 02962 . 18384 5. 43906 . 20194 4. 95201 35 26 . 14826 6. 74483 . 16615 6. 01878 . 18414 5. 43077 . 20224 4. 94460 34 27 . 14856 6. 73133 . 16645 6. 00797 . 18444 5. 42192 .20254 4. 93721 33 28 . 14886 6. 71789 . 16G74 5. 99720 . 18474 5. 41309 . 202S5 4. 92984 32 29 . 14915 6. 70450 . 16704 5. 98646 . 1S504 5. 40429 . 20315 4. 92249 31 30 . 14945 6. 69116 . 16734 5. 97576 .18534 5. 39552 . 20345 4. 91516 30 31 . 14975 6. 67787 . 16764 5. 96510 . 18564 5. 38677 . 20376 4. 90785 29 32 .15005 6. 66463 . 16794 5. 95448 . 18594 5. 37805 . 20406 4. 90056 28 33 . 15034 6. 65144 . 16824 5. 94390 . 18624 5. 36936 . 20436 4. 89330 27 34 .15064 6. 63831 .16854 5. 93335 .18654 5. 36070 . 20466 4.88605 26 35 . 15094 6. 62523 .16884 5. 92283 .18684 5. 35206 .20497 4. 87882 25 36 . 15124 6. 61219 . 16914 5. 91236 . 18714 5. 34345 . 20527 4.87162 24 37 . 15153 6. 59921 . 16944 5. 90191 . 18745 5. 33487 .20557 4. 86444 23 38 . 15183 6. 58627 . 16974 5. 89151 . 18775 5. 32631 . 205S8 4. 85727 22 39 . 15213 6. 57339 .17004 5.88114 . 18805 5. 31778 .20618 4. 85013 21 40 . 15243 6. 56055 . 17033 5. 87080 .18835 5. 30928 . 20648 4. 84300 20 41 . 15272 6. 54777 . 7063 5. 86051 . 18865 5. 30080 . 20679 4. 83590 19 42 . 15302 6. 53503 . 7093 5. 85024 .18895 5. 29235 .20709 4. 82882 18 43 .15332 6. 52234 . 7123 5. 84001 . 18925 5. 28393 . 20739 4.82175 17 44 . 15362 ('). 50970 . 7153 5. 82982 . 18955 5. 27553 . 20770 4. 81471 16 45 .15391 6. 49710 . 7183 5. 81966 . 18986 5. 26715 .20800 4. 80769 15 46 .15421 6. 48456 . 7213 5. 80953 . 19016 ' 5. 25SSO .20830 4. 80068 14 47 . 15451 6. 47206 . 7243 5. 79944 . 19046 5. 25048 . 20S61 4. 79370 13 48 . 15481 (i. 45901 . 7273 5. 78938 . 19076 5. 24218 .20891 4. 78673 12 49 .15511 6. 44720 . 7303 5. 77936 .19106 5. 23391 .20921 4. 77978 11 50 . 15540 6. 43484 . 17333 5. 76937 . 19136 . 5. 22566 . 20952 4. 77286 10 51 . 15570 6. 42253 . 17363 5. 75941 . 19166 5. 21744 . 20982 4. 76595 9 52 .15600 6. 41026 . 17393 5. 74949 . 19197 5. 20925 .21013 4. 7.5906 8 53 .15630 6. 39804 . 17423 5. 73960 . 19227 5. 20107 . 21043 4. 75219 7 54 .15660 6.38587 . 17453 5. 72974 . 19257 5. 19293 . 21073 4. 74534 6 55 .15689 6. 37374 . 17483 5. 71992 . 19287 5. 18480 .21104 4. 73851 5 56 . 15719 6. 36165 . 17513 5. 71013 . 19317 5. 17671 .21134 4. 73170 4 57 . 15749 6. 34961 . 17543 5. 70037 . 19347 5. 16863 .21164 4. 72490 3 58 . 15779 6. 33761 . 17573 5. 00004 .19378 5. 10058 .21195 4. 71813 2 59 . 15809 6. 32566 .17603 5. 6S094 . 1940S 5.15256 .21225 4.71137 1 GQ .13338 6.31375 .17633 5. 67128 . 194^8 5. 14455 . 21256 4. 70463 Co tang. Tang. Cotang. Tang. Coking. Tang. Cotang. Tang. f I 1 8 O 7 9 " rs 117 TABLE 8. NATURAL TANGENTS AND COTANGENTS. f 12 13 14 15 j f Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. .21256 4. 70463 . 2:;os7 4. 33148 . 24933 4. 01078 I .26795 3.73205 110 1 . 21286 4. 69791 .23117 4. 32573 .24964 4. 00582 i .26826 3.72771 59 2 .21316 4. 69121 . 23148 4. 32001 . 24995 4.00086 . 26857 3. 72338 58 3 .21347 4. 68452 .23179 4. 31430 .25026 3. 99592 .26888 3.71907 f>7 4 .21377 4. 67786 . 23203 4. 30860 . 25056 3. 99099 .26920 3.71476 yf) 5 . 21408 4. 67121 . 23240 4. 30291 . 25087 3. 98607 . 26951 3. 71046 55 6 . 21438 4.66458 . 23271 4. 29724 . 25118 3.98117 . 26982 3. 70616 1 54 7 . 21469 4. 65797 . 23301 4. 29159 . 25149 3. 97627 .27013 3. 70188 53 8 . 21499 4. 65138 . 23332 4. 28595 . 25180 3. 97139 . 27044 3. 69761 52 9 .21529 4. 64480 . 23363 4. 28032 .25211 3. 96651 . 27076 3. 69335 51 10 .21560 4. 63825 . 23393 4. 27471 . 25242 3. 96165 . 27107 3.68909 50 11 . 21590 4.63171 . 23424 4.26911 . 25273 3. 95680 . 27138 3.68485 49 12 .21621 4. 62518 . 23455 4. 26352 . 25304 3.95196 . 27169 3.68061 48 13 .21651 4. 61868 . 23485 4. 25795 . 25335 3. 94713 .27201 3. 67638 47 14 .21682 4. 61219 .23516 4. 25239 . 25366 3. 94232 . 27232 3.67217 46 15 .21712 4. 60572 . 23547 4. 24685 . 25397 3. 93751 . 27263 3. 66796 45 16 . 21743 4. 59927 . 23578 4. 24132 . 25428 3. 93271 . 2729 1 3. 66376 44 17 . 21773 4. 59283 . 23608 4. 23.580 . 25459 3. 92793 . 2732G 3. 65957 43 18 . 21804 4. 58(541 . 23639 4. 23030 .25490 3. 92316 . 27357 3. 65538 42 19 . 21834 4. 58001 . 23670 4. 22481 . 25521 3. 91839 .27388 3.65121 41 20 .21864 4. 57363 .23700 4. 21933 . 25552 3. 91364 . 27419 3. 64705 40 21 . 21895 4. 56726 . 23731 4. 21387 . 25583 3. 90890 . 27451 3. 64289 39 22 . 21925 4. 56091 . 23762 4. 20842 . 25614 3. 90417 .27482 3. 63874 38 23 .21956 4.55458. . 23793 4.20298 . 25645 3. 89945 . 27513 3. 63461 37 24 . 21986 4. 54826 . 23823 4. 19756 .25676 3. 89474 . 27545 3. 63048 36 25 .22017 4. 54196 .23854 4. 19215 . 25707 3.89004 . 27576 3. 62636 35 20 .22047 4. 53568 . 23885 4. 18675 . 25738 3. 88536 . 27607 3. 62224 34 27 .22078 4. 52941 . 23916 4.18137 . 25769 3.88068 . 27638 3.61814 33 28 . 22108 4. 52316 . 23946 4.17600 ! .25800 3. 87601 . 27670 3. 61405 32 29 . 22139 4. 51693 . 23977 4.17064 ; . 2,5831 3. 87136 . 27701 3. 60996 31 30 .22169 4. 51071 .24008 4.16530 .25862 3. 86671 . 27732 3.60588 30 31 .22200 4. 50451 . 24039 4.15997 ! .25893 3.86208 .27764 3. 60181 29 32 . 22231 4. 49832 . 24069 4. 15465 1 . 25924 3. 85745 . 27795 3. 59775 28 33 . 22261 4. 49215 . 24100 4.14934 I .25955 3.85284 . 27826 3. 59370 27 34 . 22292 4.48600 . 24131 4. 14405 . 25986 3. 84824 .27858 3. 58966 26 35 .22322 4. 47986 . 24162 4. 13877 .26017 3. 84364 .27889 3.58562 25 36 . 22353 4. 47374 . 24193 4. 13350 .26048 3.83906 . 27921 3. 58160 24 37 . 23383 4. 46764 . 24223 4. 12825 ! . 26079 3. 83449 . 27952 3. 57758 23 38 .22414 4. 46155 . 24254 4. 12301 . 26110 3. 82992 . 27983 3. 57357 22 39 . 22444 4.45548 . 24285 4.11778 .26141 3. 82537 .28015 3. 56957 21 40 .22475 4. 44942 . 24316 4. 11256 . 26172 3. 82083 .28046 3. 56557 20 41 . 22505 4. 44338 . 24347 4. 10736 . 26203 3.81630 .28077 3. 56159 19 42 .22536 4. 43735 . 24377 4. 10216 . 26235 3.81177 . 28109 3. 55761 18 43 . 22567 4. 43134 . 24408 4.09699 . 26266 3. 80726 .28140 3. 55364 17 44 . 22597 4. 42534 . 24439 4. 09182 . 26297 3. 80276 . 28172 3. 54968 16 45 . 22628 4. 41936 . 24470 4. 08666 . 26328 3. 79827 . 28203 3. 54573 15 46 .22658 4. 41340 .24501 4. 08152 . 26359 3. 79378 . 28234 3.54179 14 47 . 22689 4. 40745 . 24532 4.07639 . 2(390 3. 78931 . 28266 3. 53785 13 48 . 22719 4. 40152 .24562 4. 07127 . 26421 3. 78485 . 28297 3. 53393 12 49 . 22750 4. 39560 . 24593 4. 06616 .26452 3. 78040 . 28329 3.53001 11 50 .22781 4.38969 ! . 24624 4. 06107 . 26483 3. 77595 .28360 3. 52609 10 51 . 22811 4. 38381 . 24655 4. 05599 .26515 3. 77152 . 28391 3. 52219 9 52 . 22842 4. 37793 .24686 4. 05092 . 26546 3. 76709 .28423 3. 51829 8 53 . 22872 4. 37207 . 24717 4. 04586 .26577 3. 76268 .28454 3. 51441 7 54 . 22903 4.36623 ! . 24747 4. 04081 .26608 3. 75828 . 28486 3. 51053 6 55 . 22934 4. 36040 . 24778 4. 03578 .26639 3.75388 . 28517 3. 50666 5 56 . 22964 4, 35459 .24809 4.03076 .26670 3. 74950 .28549 3. 50279 4 57 .22995 4. 34879 . 24840 4. 02574 . 26701 3.74512 .28580 3. 49894 3 58 . 23026 4. 34300 . 24871 4. 02074 . 26733 3. 74075 . 28612 3. 49509 2 59 . 23056 4. 33723 .24902 4.01576 . 26764 3. 73640 . 28643 3. 49125 1 CO . 23087 4. 33148 . 24933 4. 01078 . 26795 3. 73205 .28675 3. 48741 -,; Cotang. Tang. Cotang. Tang. [Cotang. Tang. Cotang. Tang. 77 j| 76 Ji 75 74 118 TABLE 8. NATURAL TANGENTS AND COTANGENTS. 16 17 18 19 Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. t . 2S675 3. 48741 . 30573 3. 27085 . 32492 3. 07768 . 34433 2. 90421 00 1 . 2S70G 3. 48359 . 30605 3. 26745 . 32524 3. 07464 . 34465 2. 90147 59 2 . 28738 3. 47977 . 30637 3. 26406 . 32556 3. 07100 . 34498 2. 89873 58 3 . 28769 3. 47596 . 30669 3. 26067 . 32588 3. 06857 . 34530 2.89600 57 4 . 28800 3. 47216 .30700 3. 25729 . 32621 3. 06554 . 34563 2. 89327 56 5 . 28832 3. 46837 . 30732 3. 25392 . 32653 3. 06252 .34596 2. 89055 55 6 . L^Stli 3. 46458 . 30764 3. 25055 . 32085 3. 05950 . 34628 2. 88783 54 7 . 28895 3. 46080 . 30796 3. 24719 . 32717 3. 05649 . 34661 2. 88511 53 8 .28927 3. 45703 . 30828 3. 24383 . 32749 3. 05349 . 34693 2. 88240 52 9 . 28958 3. 45327 . 30860 3. 24049 . 32782 3. 05049 . 34726 2. 87970 51 10 . 28990 3. 44951 . 30891 3. 23714 . 32814 3. 04749 . 34758 2. 87700 50 ; 11 .29021 3. 44576 . 30923 3. 23381 . 32840 3. 04450 . 34791 2. 87430 49 12 . 29053 3. 44202 . 30955 3. 23048 . 32878 3.04152 . 34824 2. 87161 48 13 . 29084 3. 43829 . 30987 3. 22715 . 32911 3. 03854 . 34856 2. 86892 47 14 .29116 3. 43456 . 31019 3. 22384 . 32943 3. 03556 . 34889 2. 86624 46 15 . 29147 3. 43084 . 31051 3. 22053 . 32975 3. 03200 . 34922 2. 86350 45 16 . 29179 3. 42713 . 31083 3. 21722 .33007 3. 02903 . 34954 2. 86089 44 17 . 29210 3. 42343 .31115 3. 21392 . 33040 3. 02007 . 34987 2. 85822 43 18 . 29242 3. 41973 .31147 3. 21063 . 33072 3. 02372 . 35020 2. 85555 42 ' 19 . 29274 3. 41604 .31178 3. 20734 . 33104 3. 02077 . 35052 2. 85289 41 : 20 . 29305 3. 41236 . 31210 3. 20406 . 33130 3. 01783 . 35085 2. 85023 40 21 . 29337 3. 40869 . 31242 3. 20079 . 33169 3. 01489 .35118 2. 84758 39 22 . 29368 3. 40502 . 31274 3. 19752 . 33201 3.01196 . 35150 2. 84494 38 23 .29400 3. 40136 . 31306 3. 19426 . 33233 3.00903 . 35183 2. 84229 37 24 . 29432 3. 39771 . 31338 3. 19100 . 33266 3.00611 . 35216 2. 83965 36 25 . 29463 3. 39406 . 31370 3. 18775 . 33298 3.00319 . 35248 2. 83702 35 20 . 29495 3. 39042 . 31402 3. 18451 . 33330 3.00028 . 35281 2. 83439 34 27 . 29526 3. 38679 . 31434 3. 18127 . 33303 2. 99738 . 35314 2.83170 33 28 . 29558 3.38317 . 31466 3. 17804 . 33395 2. 99447 . 35346 2. 82914 32 . 29 . 29590 3. 37955 . 31498 3. 17481 . 33427 2.99158 . 35379 2. 82653 31 : 30 . 29621 3. 37594 . 31530 3. 17159 .33460 2. 98868 . 35412 2. 82391 30 31 .29653 3. 37234 . 31562 3. 16838 . 33492 2. 98580 . 35445 2. 82130 29 32 . 29685 3. 36875 . 31594 3. 16517 . 33524 2. 98292 . 35477 2. 81870 28 33 . 29716 3. 36516 . 31626 3. 16197 . 33557 2. 98004 . 35510 2. 81010 27 34 . 29748 3. 36158 . 31658 3. 15877 . 33589 2. 97717 . 35543 2. 81350 26 35 . 29780 3. 35800 . 31690 3. 15558 . 33621 2. 97430 . 35576 2. 81091 25 3G . 29811 3. 35443 . 31722 3. 15240 .33654 2. 97144 . 35608 2. 80833 24 37 . 29843 3. 35087 . 31754 3. 14922 . 33686 2. 96858 . 35641 2. 80574 23 ! 38 . 29875 3. 34732 . 31786 3. 14605 . 33718 2. 96573 . 35674 2. 80316 22 39 . 29906 3. 34377 .31818 3. 14288 . 33751 2. 90288 . 35707 2. 80059 21 40 .29938 3. 34023 . 31850 3. 13972 . 33783 2. 90004 . 35740 2. 79802 20 41 . 29970 3. 33670 . 31882 3. 13056 . 33816 2. 95721 . 35772 2. 79545 1,9 ; 42 .30001 3. 33317 .31914 3. 13341 . 33848 2. 95437 . 35805 2. 79289 is ; 43 . 30033 3. 32965 . 31946 3. 13027 . 33881 2. 95155 . 35838 2. 79033 17 44 . 30065 3. 32614 . 31978 3. 12713 . 33913 2. 94872 . 35871 2. 78778 16 45 . 30097 3. 32264 . 32010 3. 12400 . 33945 2. 94591 . 35904 2. 78523 15 46 . 30128 3. 31914 . 32042 3. 12087 . 33978 2. 94309 . 35937 2. 78269 14 47 . 30160 3. 31505 . 32074 3. 11775 . 34010- 2. 94028 . 35909 2. 78014 13 48 . 30192 3. 31216 . 32106 3. 11464 . 34043 2. 93748 .30002 2. 77761 12 - 49 . 30224 3. 30868 . 32139 3. 11153 . 34075 2. 93408 . 30035 2. 77507 11 50 . 30255 3. 30521 . 32171 3. 10842 . 34108 2. 93189 .30068 2. 77254 10 51 . 30287 3. 30174 . 32203 3. 10532 . 34140 2. 92910 . 30101 2. 77002 9 52 . 30319 3. 29829 . 32235 3. 10223 . 34173 2. 92032 . 30134 2. 76750 8 53 . 30351 3. 29483 . 32267 3. 09914 . 34205 2. 92354 . 36167 2. 76498 7 ; 54 . 30382 3. 29139 . 32299 3.09606 . 34238 2. 92070 . 36199 2. 76247 6 55 .30414 3. 28795 . 32331 3. 09298 . 34270 2. 91799 . 30232 2. 75996 5 50 . 30446 3. 28452 . 32363 3. 08991 . 34303 2. 91523 . 30205 2. 75746 4 57 . 30478 3. 28109 . 32396 3. 08085 . 34335 2. 91240 . 36298 2. 75490 3 58 . 30509 3. 27767 . 32428 3. 08379 . 34368 2. 90971 . 30331 2. 75246 2 59 . 30541 3. 27426 . 32460 3. 08073 . 34400 2. 90696 . 36364 2. 74997 1 : GO . 30573 3. 27085 . 32492 3. 07768 . 34433 2. 90421 . 36397 2. 74748 t Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. 73 73 |j 71 70 119 TABLE 8. NATURAL TANGENTS AND COTANGENTS. ' 20 21 22 23 ' Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. . 36397 2. 74748 .38386 2. 60509 .40403 2. 47509 .43*47 2.35585 (0 1 .36430 2. 74499 . 38420 2.60283 .40436 2. 47302 . 42482 2. 35395 59 2 .36463 2. 74251 .38453 2.60057 .40470 2. 47095 .42316 2. 35205 58 3 . 36496 2. 74004 .38487 2. 59831 . 40504 2. 46888 .42551 2.35015 57 4 .36529 2. 73756 . 38520 2.59G06 . 40538 2. 46GS2 . 42585 2. 34825 50 5 . 305(52 2. 73509 . 38553 2.59381 . 41X572 2. 46476 .42619 2.34636 55 6 .36595 2. 73263 .38587 2.59156 .40606 2. 46270 .42654 2.84447 54 7 . 36628 2. 73017 . 38620 2. 58932 . 40640 2. 460G5 . 42688 2. 34258 53 8 . 36661 2. 72771 .38654 2. 58708 . 40674 2. 45860 .42722 2. 34009 52 9 . 36694 2. 72526 . 38687 2. 58484 . 40707 2.45655 . 42757 2. 33881 51 10 . 36727 2. 72281 . 38721 2. 58261 . 40741 2.45451 . 42791 2. 33693 50 11 . 36760 2. 72036 . 38754 2. 58038 . 40775 2. 45246 . 42826 2. 33505 49 12 . 36793 2. 71792 . 38787 2.57815 .40809 2. 45043 . 42860 2.33317 48 13 .36826 2. 71548 . 38821 2. 57593 .40843 2. 4-1839 . 42894 2.33130 47 14 . 36859 2. 71305 .38854 2.57371 .40877 2. 44636 .42929 2.3291., 46 15 .36892 2. 71062 .38888 2.57150 .40911 2. 44433 .42903 2. 32756 45 1G . 36925 2. 70819 . 38921 2.56928 .40945 2. 44230 . 42998 2. 32570 44 17 . 36958 2. 70577 . 38955 2. 56707 .40979 2. 44027 . 43032 2.32383 43 18 .36991 2. 70335 . 38988 2. 56487 .41013 2. 43825 . 43007 2. 32197 42 19 . 37024 2.70094 . 39022 2.56266 .41047 2. 43623 .43101 2. 32012 41 20 .37057 2. 69853 .39055 2.56046 . 41081 2. 43422 . 43136 2.31826 40 21 .37090 2. 69612 . 39089 2. 55827 .41115 2. 43220 . 43170 2.31641 39 22 . 37123 2. 69371 . 39122 2. 55608 .41149 2. 43019 . 43205 2. 31456 38 23 .37157 2. 69131 . 39156 2.55389 .41183 2. 42819 . 43239 2.31271 37 24 . 37190 2. 68892 . 39190 2.55170 .41217 2. 42618 . 43274 2. 31086 36 25 .37223 2. 68653 . 39223 2. 54952 .41251 2.42418 .43308 2. 30902 35 26 .37256 2. 68414 . 39257 2.54734 .4128-5 2. 42218 . 43343 2.30718 34 27 . 37289 2. 68175 . 39290 2.54516 . 41319 2. 42019 . 43378 2. 30534 33 28 .37322 2. 67937 . 39324 2. 54299 .41353 2.41819 .43412 2.30351 32 29 .37355 2. 67700 .39357 2.54082 .41387 2.41620 .43447 2.30167 31 30 . 37388 2. 67462 .39391 2. 53865 .41421 2.41421 . 43481 2. 29984 30 31 . 37422 2. 67225 . 39425 2.53648 , 41455 2. 41223 .43516 2. 29S01 29 32 . 37455 2. 66989 . 39458 2. 53432 .41490 2.41025 . 43550 2. 29619 28 33 .37488 2. 66752 . 39492 2. 53217 .41524 2. 40827 . 4:;>5 2. 29437 27 34 .37521 2. 66516 . 39526 2. 53001 . 41558 2. 40629 . 43C20 2. 29254 26 35 . 37554 2. 66281 . 39559 2. 52786 . 41592 2. 40432 .43654 2. 29073 25 36 .37588 2. 66046 .39593 2.52571 .41626 2. 40235 . 430S9 2. 28891 24 37 .37621 2. 65811 . 39626 2.52357 .41660 2.40038 . 43724 2. 28710 23 38 . 37054 2. 65576 . 39660 2. 52142 . 41694 2. 39841 .43758 2. 28528 22 39 .37687 2. 65342 . 39694 2.51929 .41728 2. 39645 .43793 2. 28348 1 21 40 . 37720 2.65109 . 39727 2.51715 . 41763 2. 39449 . 4382S 2. 28167 20 41 .37754 2. 64875 . 39761 2.51502 . 41797 2. 39253 . 43802 2. 27987 19 42 .37787 2. 64642 . 39795 2. 51289 . 41831 2. 39058 . 43S97 2. 27806 18 43 . 37820 2. 64410 .39829 2.51076 .41865 2. 38803 . 43932 2. 2702G 17 44 .37853 2. 64177 . 39862 2. 50864 .41899 2. 38668 .43906 2. 27447 16 45 .37887 2. 63945 . 39896 2. 50(152 .41933 2. 38473 .44001 2. 27207 15 46 .37920 2. 63714 . 39930 2. 50440 .41968 2. 38279 . 44036 2. 27088 14 47 .37953 2.63483 . 39963 2. 50229 .42002 2. 38084 . 44071 2. 2C909 13 48 . 37986 2. 63252 . 39997 2.50018 . 42036 2. 37891 .44105 2. 20730 12 49 .38020 2. 63021 .40031 2.49807 . 42070 2. 37r.97 .44140 2. 26552 11 50 . 38053 2. 62791 .40065 2. 49597 . 42105 2.37504 .44175 2. 26374 10 51 . 38086 2. 62561 . 40098 2. 49386 . 42139 2.37311 .44210 2. 26196 9 52 . 38120 2. 62332 . 40132 2. 49177 .42173 2.37118 . 44244 2. 26018 8 53 . 38153 2. 62103 .40166 2. 48967 . 42207 2. 36925 . 44279 2.25840 7 54 .38186 2. 61874 . 40200 2. 48758 . 42242 2.36733 . 44314 2. 25603 6 55 .38220 2. 61646 . 40234 2. 48549 . 42276 2. 36541 . 44349 2. 25486 5 56 . 38253 2. 61418 . 40267 2. 48340 . 42310 2. 36349 . 443S4 2. 25309 4 57 . 38286 2. 61190 .40301 2. 48132 . 42345 2. 36158 .44418 2. 25132 3 58 . 38320 2. 60963 . 40335 2. 47924 . 42379 2. 339G7 . 44453 2. 24956 2 59 . 38353 2. 60736 . 40309 2. 47716 . 42413 2. 35776 . 44488 2. 24780 1 60 .38386 2. 60509 .40403 2. 47509 .42447 2.35585 .44523 2. 24604 f Cotang. Tang. Cotang. Tang. Cotang. Tang. Ctotaag. Tang. f 69 68 67 66 120 TABLE 8. NATURAL TANGENTS AND COTANGENTS. 2 1 5 2 6 2 7 Tang. Cotang. ; Tang. Cotang. Tang. Cotang. Tang. Cotang. . 4-1523 2. 24604 i . 46631 2.14451 i . 48773 2. 05C30 .50953 1. 96261 60 1 .44558 2.24428 ! .4< ;i ;c.r. 2. 14288 .48809 2. 04879 . 50989 1.96120 69 2 . 44593 2.24252 i . 46702 2. 14125 .48845 2. 04728 . 51026 1.95979 58 3 . 44627 2.24077 . 46737 2.13963 i .48881 2. 04577 . 51063 1.95838 57 4 . 44662 2. 23902 . 46772 2.13801 | . 48917 2. 04426 . 51099 1. 95698 56 5 . 44C97 2.23727 .46808 2.13639 ! .48953 2. 04276 . 51136 1.95557 55 6 . 44732 2.23553 .46843 2.13477 . 48989 2. 04125 . 51173 1. 95417 54 7 .44707 2.23378 .46879 2. 13316 . 49026 2. 03975 . 51209 1.95277 53 8 . 44802 2.23204 . 46914 2. 13154 . 49062 2. 03825 . 51246 1.95137 52 9 . 44837 2.23030 . 46950 2.12993 .49098 2. 03675 . 51283 1. 94997 51 10 . 44872 2.22857 . 46985 2.12832 . 49134 2. 03526 . 51319 1.94858 50 11 . 44907 2.22683 . 47021 2.12671 . 49170 2. 03376 . 51356 1.94718 4fl 12 . 44942 2.22510 . 47056 2. 12511 . 49206 2. 03227 . 51393 1.94579 48 13 . 44977 2.22337 . 47092 2. 12350 . 49242 2. 03078 . 51430 1.94440 17 14 .45012 2. 22164 .47128 2. 12190 . 49278 2. 02929 . 51467 1.94301 46 15 .45047 2.21992 . 47163 2. 12030 .49315 2. 02780 . 51503 1. 94162 45 16 .45082 2.21819 i .47199 2.11871 . 49351 2.02631 . 51540 1.94023 44 17 .45117 2.21647 i . 47234 2.11711 . 49387 2. 02483 . 51577 1.93885 415 18 . 45152 2.21475 . 47270 2. 11552 .49423 2. 02335 . 51614 1.93746 42 19 .45187 2. 21304 . 47305 2. 11392 . 49459 2. 02187 . 51651 1.93608 41 20 . 45222 2.21132 ; . 47341 2.11233 . 49495 2. 02039 .51688 1.93470 40 21 . 45257 2.20961 . 47377 2. 11075 . 49532 2. 01891 . 51724 1. 93332 39 22 .45202 2.20790 i . 47412 2. 10916 .49568 2.01743 . 51761 1.93195 38 23 .45327 2. 20619 . 47448 2. 10758 . 49604 2. 01596 . 51798 1.93057 37 24 .45362 2.20449 ! .47483 2. 10600 .49640 2.01449 . 51835 1. 92920 36 25 . 45397 2.20278 .47519 2. 10442 . 49G77 2. 01302 . 51872 1. -62782 35 26 .45432 2.20108 . 47555 2. 10284 .49713 2.01155 .51909 1.92645 34 27 . 45467 2.19938 . 47590 2. 10126 . 49749 2. 01008 . 51946 1. 92508 33 28 .45502 2. 19769 .47626 2. 09969 . 49786 2.00862 . 51983 1.92371 32 29 . 45538 2.19599 . 47662 2. 09811 . 49822 2. 00715 . 52020 1.92235 31 30 .45573 2. 19430 . 47698 2. 09654 .49858 2. 00569 . 52057 1.92098 30 31 .45608 2.19261 .47733 2. 09498 . 49894 2.00423 .52094 1.91962 29 32 . 45643 2.19092 . 47769 2. 09341 .49931 2. 00277 . 52131 1.91826 2S 33 .45678 2.18923 ! . 47805 2. 09184 .49967 2.00131 . 52168 1.91690 27 34 .45713 2. 18755 . 47840 2.09028 .50004 1.99986 . 52205 1.91554 26 35 . 45748 2.18587 i . 47876 2.08872 .50040 1. 99841 .52242 1.91418 25 36 . 45784 2.18419 ! . 47912 2. 08716 .50076 1. 99695 . 52279 1.91282 24 37 . 4,5819 2.18251 ! . 47948 2.08560 .50113 1.99550 .52316 1.91147 23 38 .45854 2.18084 .47984 2. 08405 .50149 1. 99406 . 52353 1.91012 22 39 .45889 2.17916 . 48019 2.08250 . 50185 1.99261 . 52390 1.90876 21 40 . 45924 2. 17749 . 48055 2. 08094 .50222 1. 99116 . 52427 1.90741 20 41 .45960 2. 17582 .48091 2. 07939 .50258 1.98972 . 52464 1.90607 19 42 . 45995 2.17416 i .48127 2. 07785 . 50295 1.98828 . 52501 1.90472 18 43 .46030 2. 17249 1 . 48163 2. 07630 .50331 1.98684 . 52538 1.90337 17 44 .46065 2. 17083 . 48198 2. 07476 .50368 1.98540 . 52575 1. 90203 16 45 .'46101 2.16917 . 48234 2. 07321 .50404 1.98396 . 52613 1.90069 15 46 .46136 2. 16751 . 48270 2. 07167 . 50441 1.98253 . 52650 1.89935 14 47 .46171 2. 16585 . 48306 2.07014 .50477 1.98110 . 52687 1.89801 13 48 . 46206 2. 16420 . 48342 2.06860 .50514 1.97966 . 52724 1. 89667 12 49 . 462-12 2. 16255 .48378 2. 06706 .50550 1.97823 . 52761 1. 89533 11 50 . 46277 2.16090 . 48414 2. 06553 .50587 1.97681 . 52798 1.89400 10 51 .46312 2. 15925 .48450 2.06400 .50623 1.97538 . 52836 1 . 89206 9 52 .46348 2. 15760 . 48486 2.06247 .50660 1.97395 .52873 1.89133 8 53 .46383 2. 15596 . 48521 2.06094 . 50696 1.97253 .52910 1.89000 7 54 .46418 2. 15432 . 48557 2. 05942 . 50733 1.97111 . 52947 .88867 6 55 .46454 2. 15268 . 48593 2. 05790 . 50769 1.96969 .52985 .88734 5 56 . 464S9 2. 15104 . 48629 2. 05637 .50806 1.96827 . 53022 . 88602 4 57 . 46525 2. 14940 . 48665 2. 05485 .50843 1.96685 . 53059 . 88469 3 58 . 46560 2. 14777 . 48701 2. 05333 . 50879 1.96514 .53096 .88337 2 59 . 46595 2. 14614 . 48737 2. 05182 .50916 1.96402 .53134 . 88205 1 60 . 46631 2. 14451 . 48773 2. 05030 .50953 1.96261 . 53171 .88073 Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. t 6 5 6 4 6 3 6 2 121 TABLE 8. NATURAL TANGENTS AND COTANGENTS. 28 29 30 31 Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. .53171 1. 88073 .55431 1.80405 j .57735 1. 73205 . 60086 1. 60428 60 1 .53208 1. 87941 .55469 1. 80281 .57774 1. 73089 .60126 1.GG318 59 2 .53246 1. 87809 .55507 1. 80158 .57813 1. 72973 .601(15 1. 66209 58 3 .53283 1. 87677 . 55545 1. 80034 .57851 1. 72S57 . 60205 1. 6C009 57 4 .53320 1. 87546 .55583 1.79911 .57890 1.72741 . 60245 1. C5990 56 5 .53358 1. 87415 .55621 1. 79788 .57929 1. 72G25 .60284 1. C5881 55 6 .53395 1. 87283 . 55659 1. 79665 . 579C8 1. 72509 . 60324 1. C5772 54 7 . 53432 1. 87152 .55697 1. 79542 .58007 1. 72393 . 60304 1.C5663 53 8 .53470 1. 87021 . 55736 1.79419 . 58046 1. 72278 . 60403 1. 65554 52 9 .53507 1. 86891 . 55774 1. 79296 .58085 1. 72103 .60443 1. 65445 51 10 .53545 1. 86760 .55812 1. 79174 .58124 1. 72047 .60483 1. 65337 50 11 .53582 1. 86630 .55850 1. 79051 .58162 1. 71932 .60522 1.65228 49 12 . 53020 1. 86499 . 55888 1. 78929 .58201 1.71817 . 605G2 1. 65120 48 13 .53657 1. 86369 . 55926 1. 78807 .58240 1. 71702 . 60602 1.65011 47 14 .53094 1.86239 .55964 1.78685 .58279 1. 71588 .60642 1. 64903 46 15 .53732 1. 86109 . 56003 1 78563 .58318 1. 71473 . COG81 1. 64795 45 1G .53769 1. 85979 .56041 1.78441 .58357 1.71358 .60721 1. 64C87 44 17 .53807 1.85850 . 56079 1.78319 .58396 1.71244 . 60761 1. 64579 43 18 .53844 1. 85720 .56117 1. 78198 .58435 1.71129 . 60801 1.64471 42 19 .53882 1. 85591 .56156 1. 78077 .58474 1.71015 . 60841 1. 643G3 41 20 .53920 1. 85462 .56194 1. 77955 .5&513 1. 70901 .60881 1. 64256 40 21 .53957 1. 85333 .56232 1. 77834 . 58552 1. 70787 . 60921 1. G414S *>Q 22 .53995 1. 85204 .56270 1. 77713 .58591 1. 70673 . 609(50 1.64041 38 23 .54032 1. 85075 .56309 1.77592 .58631 1. 705CO . 61000 1. 63934 37 24 . 54070 1. 84946 .56347 1.77471 .58670 1. 70446 . 61040 1. 6382G 36 25 .54107 1.84818 .56385 1.77351 .58709 1. 70332 . 61080 1. 63719 35 26 .54145 1. 84689 .56424 1. 77230 . 58748 1. 70219 .61120 1. 63G12 34 27 .54183 1. 84561 .56462 1.77110 . 58787 1. 70100 .61160 1. 63505 33 28 .54220 1. 84433 . 50501 1. 76990 .58826 1. 69992 . 61200 1. 63398 32 29 . 54258 1. 84305 . 56539 1. 76869 .58865 1. 69879 . 61240 1. 63292 31 30 .54296 1.84177 .56577 1. 76749 .58905 1. 69766 . 61280 1. 63185 30 31 .54333 1. 84049 . 56616 1. 76629 .58944 1. 69653 . 61320 1. 63079 29 32 .54371 1. &3922 .56654 1.76510 . 5S',)s:i 1. 69541 . 61360 1. 62972 28 33 . 54409 1. 83794 .56693 1.76390 .59022 1.69428 . 61400 1. 62866 27 34 .54446 1. 83667 .56731 1.76271 . 59061 1. 69316 . 61440 1. 62760 26 35 .54484 1.83540 .56769 1. 76151 .59101 1. 69203 . 61480 1. 62654 25 36 .54522 1. 83413 .56808 1. 76032 .59140 1. 69091 . 61520 1. 62548 24 37 .54560 1. 83286 .56846 1. 75913 .59179 1. 68979 .61561 1. 62442 23 38 .54597 1. 83159 .56885 1. 75794 .59218 1. 68866 . 61601 1. 6233G 22 39 .54636 1. 83033 .56923 1. 75675 .59258 1. 68754 .61641 1. 62230 21 40 .54673 1. 82906 . 56962 1. 75556 .59297 1.68643 . 61681 1. 62125 20 41 .54711 1. 82780 .57000 1.75437 .59336 1. 68531 . 61721 1. 62019 19 42 .54748 1. 82654 .57039 1. 75319 .59376 1. 68419 . 617G1 1. 61914 18 43 .54786 1. 82528 . 57078 1. 75200 .59415 1. 68308 . 61801 1.61808 17 44 .54824 1. 82402 .57116 1.75082 . 59454 1. 68196 . 61842 1. 61703 16 45 .54862 1. 82276 . 57155 1. 74964 . 59494 1. 68085 . 61882 1. 61598 15 46 .54900 1. 82150 . 57193 1. 74846 .59533 1. 67974 . 61922 1.61493 14 47 .54938 1. 82025 .57232 1. 74728 .59573 1. 67863 . 61962 1. 61388 13 48 .54975 1.81899 .57271 1. 74610 .59612 1. 67752 . 62003 1.G12S3 12 49 .55013 1.81774 .57309 1. 74492 .59651 1. 67641 . 62043 1. 6! 179 11 50 .55051 1. 81649 . 57348 1. 74375 .59691 1.67530 .62083 1. 61074 10 51 .55089 1. 81524 .57386 1. 74257 . 59730 1. 67419 . 62124 1. 60970 9 52 .55127 1. 81399 . 57425 1.74140 .59770 1. 67309 . 62164 1. 60S65 8 53 .55165 1.81274 .57464 1. 74022 .59809 1. 67198 . 62204 1. 60761 7 54 .55203 1.81150 . 57503 1. 73905 .59849 1. 67088 . 62245 1.60C57 6 55 .55241 1. 81025 .57541 1. 73788 .59888 1.66978 .62285 1. 60553 5 56 . 55279 1. 80901 .57580 1. 73671 .59928 1. 66867 . 62325 1. 60449 4 57 .55317 1. 80777 .57619 1. 73555 . 59967 1. 66757 . 62360 1. G0345 3 58 . 5:>355 1. 80653 .57657 1. 73438 .60007 1. 66647 . 62406 1. C02-11 2 59 . 55393 1. 80529 . 57696 1. 73321 . 60046 1. 66538 .63446 1. 60137 1 00 .55431 1. 80405 . 57735 1. 73205 .60086 1.66428 . 62487 1. 60033 Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. \ 61 60 59 58 122 TABLE 8. NATURAL TANGENTS AND COTANGENTS. 32 33 34 35 , Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. .62487 1.60033 . 64941 1.53986 . 67451 1.48256 .70021 1.42815 GO 1 . 62527 1. 59930 .64982 1. 53888 . 67493 1.48163 . 7C064 1. 42726 59 2 . 62568 1. 59826 .65024 1. 53791 . 67536 1. 48070 . 70107 1.42G38 58 3 .62608 1. 59723 . 65065 1. 53693 . 67578 1. 47977 . 70151 1. 42550 57 4 . 62649 1.59620 . 65106 1. 53595 . 67620 1.47885 . 70194 1.42462 5G 5 .62689 1. 59517 . 65148 1. 53497 . 67663 1.47792 . 70238 1. 42374 55 6 . 62730 1. 59414 . 65189 1. 53400 . 67705 1. 47699 . 70281 1.42286 54 7 . 62770 1. 59311 . 65231 1. 53302 . 67748 1.47607 . 70325 1. 42198 53 8 .62811 1. 59208 . 65272 1. 53205 . 67790 1. 47514 . 70368 1.42110 52 9 . 62852 1. 59105 . 65314 1.53107 . 67832 1.47422 . 70412 1.42022 51 10 . 62892 1. 59002 . 65355 1. 53010 . 67875 1. 47330 . 70455 1. 41934 50 11 . 62933 1.58900 . 65397 1. 52913 . 67917 1.47238 . 70499 1.41847 49 12 . 62973 1. 58797 .65438 1. 52816 .67960 1. 47146 . 70542 1.41759 48 13 . 63014 1. 58695 . 65480 1. 52719 .68002 1.47053 . 70586 1.41672 47 14 . 63055 1. 58593 . 65521 1. 52622 .68045 1. 469G2 . 70629 1. 41584 46 15 . 63095 1. 58490 .65563 1. 52525 .68088 1.46870 .70673 1.41497 45 16 .63136 1.58388 . 65C04 1. 52429 . 68130 1. 46778 . 70717 1. 41409 44 17 .63177 1. 58286 . 65646 1. 52332 .68173 1.46686 .70760 1. 41322 43 18 .63217 1. 58184 .65688 1. 52235 .68215 1.46595 . 70804 1.41235 42 19 .63258 1. 58083 . 65729 1. 52139 .68258 1. 46503 . 70848 1.41148 41 20 .63299 1. 57981 . 65771 1. 52043 . 68301 1. 46411 . 70891 1. 41061 40 21 . 63340 1. 57879 .65813 1. 51946 . 68343 1.46320 .70935 1. 40974 39 22 .63380 1.57778 . 658,54 1. 51850 .68386 1. 46229 .70979 1.40887 38 23 . 63421 1. 57676 . 65896 1. 51754 .68429 1.46137 . 71023 1. 40800 37 24 . 63462 1. 57575 . 65938 1. 51658 . 68471 1.46046 . 710G6 1. 40714 36 25 . 63503 1.57474 . 65980 1. 51562 .68514 1. 45955 .71110 1. 40627 35 26 . G3544 1. 57372 . 66021 1. 51466 .68557 1. 45864 . 71154 1.40540 34 27 .63584 1. 57271 . 66063 1.51370 .68600 1.45773 .71198 1. 40454 33 ' 28 . 63625 1.57170 . 66105 1. 51275 .68642 1.45082 . 71242 1. 40367 32 29 . 63G66 1. 57009 .66147 1.51179 .68685 1.45592 . 71285 1. 40281 31 30 . 63707 1.569G9 . 66189 1. 51084 .68728 1. 45501 . 71329 1.40195 30 ! 31 . 63748 1.56868 . 66230 1. 50988 .68771 1.45410 . 71373 1. 40109 29 32 .637S9 1. 56767 . 66272 1. 50893 .68814 1.45320 . 71417 1.40022 28 33 .63830 1. 56667 .66314 1. 50797 . 68857 1. 45229 . 714G1 1.39936 27 34 .63871 1.56566 .66356 1. 50702 .68900 1. 45139 . 71505 1.39850 26 35 .63912 1. 56466 . 66398 1.50607 .68942 1.45049 . 71549 1. 39764 25 36 .63953 1. 56366 . 66440 1. 50512 . 68985 1. 44958 . 71593 1. 39G79 24 37 .63994 1. 56265 .66482 1. 50417 .69028 1.44868 . 71637 1.39593 23 38 .64035 1. 56165 . 66524 1. 50322 . 69071 1. 44778 .71681 1.39507 22 39 .64076 1.56065 .66566 1. 50228 .69114 1.44688 . 71725 1.39421 21 40 . 64117 1. 55966 .66608 1. 50133 . 69157 1. 44598 . 71769 1.3933G 20 41 .64158 1.55866 . 66650 1. 50038 .69200 1.44508 .71813 1. 39250 19 42 .64199 1. 55766 . 66692 1.49944 .69243 1. 44418 . 71857 1. 39165 18 43 . 64240 1. 55666 . G6734 1.49849 . 69286 1.44329 . 71901 1. 39079 17 44 .64281 1. 55567 . 66776 1. 49755 .69329 1.44239 . 71946 1.3S994 16 45 . 64322 1. 55467 .66818 1. 49661 . 69372 1.44149 .71990 1.38909 15 46 .64363 1.55368 .66860 1.49566 . 69416- 1.440GO . 72034 1.38824 14 47 .64404 1. 55269 . 6G902 1. 49472 . 69459 1.43970 . 72078 1.38738 13 48 . 64446 1.55170 . 66944 1.49378 . 69502 1. 43881 . 72122 1.38653 12 49 . 64487 1. 55071 . 66986 1.49284 . 69545 1. 43792 . 72167 1.38568 11 50 .64528 1. 54972 . 67028 1.49190 .69588 1. 43703 . 72211 1.38484 10 51 .64569 1. 54873 . 67071 1. 49097 . 69631 1. 43614 .72255 1. 38399 9 52 .64610 1. 54774 . 67113 1.49003 . 69675 1. 43525 .72299 1.38314 8 53 .64652 1. 54675 . 67155 1. 48909 . 69718 1. 43436 . 72344 1.38229 7 54 . 64693 1. 54576 . 67197 1. 48816 . 697G1 1.43347 . 72388 1.33145 6 i 55 .64734 1. 54478 . 67239 1.48722 . 69804 1. 43258 . 72432 1.380GO 5 56 .64775 1. 54379 . 67282 1.48629 . 69847 1. 431G9 . 72477 1.37976 4 57 .64817 1. 54281 .67324 1.48536 . 69891 1.43080 . 72521 1.37891 3 58 .64858 1.54183 .67366 1. 48442 . 69934 1. 42992 . 725G5 1. 37807 2 59 . 64899 1. 54085 .67409 1.48349 . 69977 1. 42903 . 72G10 1. 37722 1 60 .64941 1. 53986 . 67451 1.48256 .70021 1. 42815 . 72654 1.37638 Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. 57 56 55 54 123 TABLE 8. NATURAL TANOENTS AND COTANGENTS. 3 6 3 7 3 8 3 9 Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. .72054 1.37638 . 75355 1.32704 . 78129 1. 27994 . 80978 1.23490 CO 1 .72G99 1. 37554 . 75401 1.32624 . 78175 1. 27917 . 81027 1.23-116 59 2 . 72743 1.37470 . 75447 1. 32544 . 78222 1. 27841 . 81075 1. 23343 58 3 .72788 1.37386 .75492 1.32164 . 78269 . 27764 .81123 1. 23270 57 4 . 72832 1. 37302 . 75538 1. 32384 .78316 . 27688 .81171 1. 23190 56 5 . 72877 1.37218 . 75584 1. 32304 .78303 . 27611 . 81220 1.23123 55 6 .72921 1.37134 .75629 1. 32224 . 78410 .27535 . 81208 1.23050 54 7 . 7290G 1. 37050 . 75675 1. 32144 .78457 . 27458 . 81316 1. 22977 53 8 . 73010 1. 36967 . 75721 1.320G4 .78504 . 27382 .81364 1. 22904 52 9 .73055 L 36688 . 75767 1. 31984 . 78551 . 2730G . 81413 1. 22831 51 10 .73100 1.3G800 . 75812 1.31904 .78598 .27230 . 81461 1.22758 50 11 .73144 1. 36716 .75858 1. 31825 . 7SG45 . 27153 . 81510 1.22085 49 12 . 73189 1.36633 .75904 1.31745 . 78692 . 27077 . 81558 1.22G12 48 13 . 73234 1.36549 .75950 1.31666 . 78739 .27001 . 81G06 1. 22539 47 14 . 73278 1.36466 .759% 1.31586 . 78780 . 20925 . 81655 1.22407 46 15 .73323 1.36383 . 76042 1.31,307 .78834 . 20849 . 81703 1. 22394 45 16 . 733G8 1.36300 . 76988 1.31427 . 78881 .26774 . 81752 1. 22321 44 17 . 73413 1. 36217 . 76134 1.31348 .78928 . 2G698 . 81800 1. 22249 43 18 . 73457 1.36134 . 76180 1.312G9 . 78975 . 26622 . 81849 1.22170 42 19 .73502 1. 36051 . 7622G 1.31190 . 79022 . 26546 . 81898 1.22104 41 20 . 73547 1.35968 .76272 1.31110 .79070 . 26471 .81946 1.22031 40 21 . 73592 1.35885 .76318 1.31031 .79117 . 26395 . 81995 1.21959 39 22 .73C.37 1. 35802 . 7(804 1.30952 .79164 .26319 . 82044 1. 21886 38 23 . 73681 1.35719 .70410 1.30873 . 79212 . 262-14 .82092 1.21814 37 24 .73726 1.35637 .76456 1. 30795 .79259 . 26169 . 82141 1.21742 36 25 .73771 1.35554 .76502 1.30716 . 79300 .2G093 . 82190 1. 21070 35 20 . 73816 1.35472 .76548 1. 30637 . 79354 . 26018 . 82238 1.21598 34 27 . 738G1 1. 353S9 . 76594 1. 30558 . 79401 .25943 . 82287 1. 21526 33 28 . 73906 1. 35307 .76640 1.30480 . 79449 . 25807 . 82336 1. 21454 32 29 .73951 1. 35224 . 76086 1.30401 . 79496 .25792 .82385 1.21382 31 30 . 73996 1.35142 . 76733 1. 30323 . 79544 .25717 . 82434 1.21310 30 31 .74041 1. 350GO . 76779 1.30244 . 79591 .25642 .82483 1. 21238 29 32 . 74086 1. 34978 .76825 1.30166 .79639 . 255G7 .82531 1.21100 28 33 . 74131 1. 34896 . 76871 1.30087 . 79G86 .25492 . 82580 1. 21094 27 34 . 74176 1.34814 . 76918 1.30009 . 79734 .25417 .82629 1. 21023 26 35 . 74221 1. 34732 . 76964 1. 29931 . 79781 . 25343 . 82678 1.20951 25 30 . 742G7 1.34650 . 77010 1. 29853 . 79829 . 252C8 . 82727 1. 20S79 24 37 . 74312 1.34568 .77057 1. 29775 . 79877 .25193 . S2770 1.20808 23 38 . 74357 1.34487 . 77103 1. 29696 . 79924 .25118 . 82825 1.20736 22 39 . 74402 1. 34405 . 77149 1.29618 . 79972 .25044 .82874 1.20G(T) 21 40 . 74447 1. 34323 . 77196 1.29541 .80020 . 249C9 .82923 1.20593 20 41 .74492 1. 34242 . 77242 1. 29463 .80067 .24895 . 82972 1. 20522 19 42 . 74538 1.34160 . 77289 1. 29385 .80115 . 24820 . 83022 1.20451 18 43 .74583 1. 34079 . 77335 1. 29307 . 83103 . 24740 .83071 1. 20379 17 44 . 74G28 1. 33998 . 77382 1. 29229 . 80211 . 24672 . 83120 1. 20308 16 45 . 74674 1. 33916 . 77428 1. 29152 . 80258 . 24597 . 831C9 1. 20237 15 40 . 74719 1.33835 . 77475 1. 29074 .80306 . 24523 . 83218 1. 20100 14 47 . 74764 1. 33754 .77521 1. 28997 .80354 .24449 .83268 1. 20095 13 48 . 74810 1.33673 . 775C8 1. 28919 .80402 . 24375 .83317 1.20024 12 49 . 74855 1.33592 . 77615 1. 28812 .80450 . 24301 . 83366 1. 19953 11 50 .74900 1.33511 . 77661 1. 28764 .80498 . 24227 .83415 1. 19882 10 51 . 74946 1.33430 . 77708 1.28687 .80546 . 24153 . 83465 1.19811 9 52 . 74991 1.33349 . 77754 1. 28610 . 80594 . 24079 .83514 1. 19740 8 53 . 75037 1.33268 . 77801 1. 28533 . 80C42 .24005 . S.'55 . 999938 3540 59 . 234557 554 618 . 234621 . 765379 382 .Uo .999936 3600, 60 8. 241855 553 619 8. 241921 11.75S079 381 . 03 9. 999934 4.685 15.314 " ' Cosine. Cotang. Tang. D. 1". Sine. 90 89 127 TABLE 9. LOGARITHMIC SINES, COSINES, 178 C " ' Sine. S. T. Tang. Cotang. C. D.I". Cosine. ' 4.685 15.314 3GOO 8.241855 553 619 8. 241G21 11. 758079 381 9. 999934 60 3060 1 . 249033 552 620 . 249102 . 750898 380 . 03 nr: . 999!2 59 3720 2 . 256094 551 622 . 256165 .743835 378 . Uo m . Si:'.y.L !( .) 58 3780 3 . 203042 551 623 .203115 . 730885 377 . Uo . 909927 57 3840 4 .269881 550 625 . 209950 . 730044 375 . 03 a- .999925 56 3900 5 .276614 549 627 . 276691 . 7233C9 373 ^) . 999922 55 3960 6 . 283243 548 628 . 283323 . 716677 372 . 03 . 909920 54 4020 7 . 289773 547 630 . 289856 .710144 370 . 03 HK . 999918 53 4080 8 . 290207 546 632 . 296292 . 703708 308 . Uo .998915 52 4140 9 . 302546 546 633 . 302634 . 697366 307 . 03 nr .999013 51 4200 10 . 308794 545 635 .308884 .691116 365 . UO .999910 50 4260 11 8. 314954 544 637 8.315046 11. 684954 363 .05 f>9 9. 999907 49 4320 12 . 321027 543 638 .321122 . 678878 362 . Uo . 99 ( J90o 48 4380 13 . 327016 542 640 .327114 . 672886 300 . 05 . 999902 47 4440 14 . 332924 541 642 . 333025 . 006975 358 . 05 AM . 909899 46 4500 15 . 338753 540 644 . 338856 . 001144 356 . Uo . 999897 45 4560 10 . 344504 539 646 . 344610 . 655390 354 . 05 ac .999894 44 4620 17 . 350181 539 648 . 350289 . 649711 352 L) . 999891 43 4680 18 .355783 538 649 . 355895 . 644105 351 . 05 nr: . 900SS8 42 4740 19 . 361315 537 651 . 361430 . 638.570 349 . Uo . 999885 41 4800 20 . 366777 536 653 . 366895 .633105 347 .05 .999882 40 4860 21 8. 372171 535 655 8. 372292 11. 627708 345 .05 9. 999879 39 4920 22 . 377499 534 657 .377622 . 622378 343 .05 . 999876 38 4980 23 . 332762 533 659 . 382889 .617111 341 . 05 rvr . 999873 37 5040 24 . 387962 532 661 .388092 . 611908 339 . Uo . 999870 30 5100 25 . 393101 531 663 .393234 .600766 337 . 05 f\\ . 999867 35 5160 26 . 398179 530 666 . 398315 .601685 334 . ()> . 999864 34 5220 27 . 403199 529 668 . 403338 . 596662 332 . 05 . 999861 33 5280 28 . 408161 ^97 670 .408304 . 591696 330 . 05 H7 . 999858 32 5340 29 .413068 526 672 . 413213 . 586787 328 . Uf . 999854 31 5400 30 . 417919 525 674 .418068 . 581932 326 . 05 .999851 30 5460 31 8. 422717 524 676 8. 422869 11.577131 324 .05 9. 999848 29 5520 32 . 427462 523 679 . 427618 .572382 321 . 07 HE . 999844 28 5580 33 . 432156 522 681 . 432315 . 567685 319 . UO f\~ . 999841 27 5640 34 .436800 521 683 . 436962 .563038 317 . U) H7 .999S38 26 5700 35 . 441394 520 685 . 441560 . 558440 315 . U/ f\e . 999834 25 5760 36 . 445941 518 688 . 446110 .553890 312 . Uo . 99&S31 24 5820 37 . 450440 517 690 . 450613 . 549387 310 . 07 /\- . 999827 23 5880 38 . 454893 516 693 . 455070 . 544930 307 Uo H7 . 999824 22 5940 39 . 459301 515 695 . 459481 . 540519 305 . U/ . 999820 21 6000 40 .463665 514 697 . 463849 .536151 303 . 07 .999816 20 6060 41 8. 467985 512 700 8. 468172 11.531828 300 .05 9. 999813 19 6120 42 . 472263 511 702 . 472454 . 527546 298 . 07 A7 . 999809 18 6180 43 . 476498 510 705 . 476693 . 523307 295 . U* (Y* .999805 17 6240 44 . 480693 509 707 . 480892 . 519108 293 . Ut ft7 . 999S01 16 6300 45 . 484848 507 710 . 485050 . 514950 290 .Ui f\f . 999797 15 6360 46 . 488963 500 713 . 489170 . 510830 287 . UO . 999794 14 6420 47 . 493040 505 715 . 493250 . 506750 2S5 . 07 O7 . 999790 13 6480 48 . 497078 503 718 . 497293 . 502707 282 . U/ H7 . 99970 12 6540 49 . 501080 502 720 . 501298 . 498702 280 . U* fV7 . 999782 11 6600 50 .505045 501 723 . 505267 . 494733 277 . Of . 999778 10 6660 51 8. 508974 499 726 8.509200 11. 490800 274 .07 no 9. 999774 9 6720 52 . 512867 498 729 .513098 . 486902 271 . Uo (Y7 . 999769 8 6780 53 . 516726 497 731 . 516961 . 4S3039 269 , \)i fi7 . 999705 7 6840 54 . 520551 495 734 . 520790 . 479210 266 . U/ A7 . 999761 6 6900 55 . 524343 494 737 . 524586 .475414 263 . U/ f\7 . 999757 5 6960 56 . 528102 492 740 . 528349 . 471651 200 . Ui no . 999753 4 7020 57 . 531828 491 743 . 5320SO . 467920 257 . Uo A7 . 999748 3 7080 58 . 535523 490 745 . 535779 . 464221 255 . Oi H7 . 999744 2 7140 59 . 539186 488 748 . 539447 . 460553 252 . U/ f\Q . 999740 1 7200 60 8. 542819 487 751 8. 543084 11. 456916 249 Uo 9. 999735 4.685 15. 314 " ' Cosine. | Cotang. Tang. D.I". Sine. ' 91' 88 128 TANGENTS, AND COTANGENTS. 177* ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 1 8.542819 . 546422 60.05 en ee 9. 999735 . 999731 .07 no 8.543084 . 546691 60. 12 11.456916 . 453309 60 59 2 3 4 5 6 7 8 9 10 . 549995 . 553539 . 557054 . 560540 . 563999 .567431 . 570836 . 574214 . 577566 oy. oo 59.07 58.58 58.10 57.65 57.20 56.75 56. 30 55.87 55.43 .999726 . 999722 . 999717 . 999713 . 999708 .999704 .999699 . 999694 . 999689 * Uo .07 .08 .07 .08 .07 .08 .08 .08 .07 .550268 . 553817 . 557336 .560828 .564291 .567727 .571137 . 574520 . 577877 59^15 58.65 58.20 57.72 57.27 56.83 56.38 55.95 55.52 . 449732 .446183 .442664 . 439172 .435709 .432273 .428863 .425480 .422123 58 57 56 55 54 53 52 51 50 11 8. 580892 9. 999685 no 8. 581208 11.418792 49 12 13 . 584193 .587469 54^60 e* on . 999680 . 999675 Uo .08 no . 584514 . 587795 55. 10 54.68 .415486 .412205 48 47 14 15 16 17 18 19 . 590721 . 593948 . 597152 .600332 . 603489 .606623 53^78 53.40 53.00 52.62 52.23 K1 CK .999670 .999665 . 999660 .999655 .999650 .999645 . Uo .08 .08 .08 .08 .08 f\Q .591051 . 594283 .597492 .600677 .603839 .606978 53^87 53.48 53.08 52.70 52.32 .408949 .405717 . 402508 .399323 .396161 . 393022 46 45 44 43 42 41 20 .609734 51. oo 51.48 .999640 .Uo .08 .610094 51.93 51.58 .389906 40 21 22 23 24 8.612823 .615891 . 618937 .621962 51.13 50.77 50.42 cn nc 9.999635 . 999629 . 999624 .999619 .10 .08 .08 no 8.613189 .616262 . 619313 .622343 51.22 50.85 50.50 cn -I e 11.386811 .383738 . 380687 .377657 39 38 37 36 25 26 27 28 29 30 . 624965 .627948 .630911 .633854 . 636776 .639680 OU. UO 49.72 49.38 49.05 48.70 48.40 48.05 .999614 .999608 .999603 .999597 .999592 .999586 Uo .10 .08 .10 .08 .10 .08 . 625352 .628340 . 631308 .634256 .637184 .640093 OU. lO 49.80 49.47 49.13 48.80 48.48 48.15 . 374648 . 371660 .368692 .365744 .362816 . 359907 35 34 33 32 31 30 31 32 33 34 8. 642563 .645428 .648274 . 651102 47.75 47.43 47.13 Af> OO 9.999581 .999575 .999570 .999564 .10 .08 .10 in 8.642982 .645853 .648704 . 651537 47.85 47.52 47.22 Af\ QO 11. 357018 .354147 . 351296 .348463 29 28 27 26 35 36 37 38 39 40 .653911 .656702 . 659475 . 662230 .664968 .667689 40. o& 46.52 46.22 45.92 45.63 45.35 45.07 .999558 .999553 . 999547 .999541 .999535 .999529 1U .08 .10 .10 .10 .10 .08 .654352 . 657149 . 659928 .662689 .665433 .668160 40- VA 46.62 46.32 46-02 45.73 45.45 45.17 .345648 .342851 . 340072 .337311 .334567 .331840 25 24 23 22 21 20 41 42 43 44 45 46 47 48 49 50 8. 670393 .673080 .675751 .678405 .681043 .683665 . 686272 .688863 . 691438 .693998 44.78 44.52 44.23 43.97 43.70 43.45 43.18 42.92 42.67 42.42 9.999524 .999518 .999512 .999506 .999500 .999493 . 999487 .999481 .999475 .999489 .10 .10 .10 .10 .12 .10 .10 .10 .10 .10 8.670870 .673563 .676239 .678900 .681544 .684172 .686784 . 689381 . 691963 . 694529 44.88 44.60 44.35 44.07 43.80 43.53 43.28 43.03 42.77 42.53 11.329130 .326437 .323761 .321100 .318456 .315828 .313216 . 310619 .308037 . 305471 19 18 17 16 15 14 13 12 11 10 51 52 8. 696543 .699073 42.17 A] QO 9.999463 . 999456 .12 in 8. 697081 .699617 42.27 AO O.Q 11.302919 . 300383 9 8 53 54 55 . 701589 .704090 .706577 41. yo 41.68 41.45 jl on .999450 .999443 .999437 1U .12 .10 in .702139 .704646 . 707140 4Z. Uo 41.78 41.57 41 *"tO . 297861 .295354 . 292860 7 6 5 56 57 58 59 60 .709049 .711507 . 713952 . 716383 8. 718800 41. ^U 40.97 40.75 40.52 40.28 . 999431 . 999424 .999418 .999411 9.999404 1U .12 .10 .12 .12 .709618 . 712083 . 714534 . 716972 8. 719396 41.' 08 40.85 40.63 40.40 . 290382 .287917 .285466 . 283028 11. 280604 4 3 2 1 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 92' 87' 4147910 9 129 TABLE 9. LOGARITHMIC SINES, COSINES, 176 e ' Sine. D.I". Cosine. D. 1" Tang. | D. 1". Cotang. ' 1 2 3 4 8. 718800 . 721204 . 723595 .725972 . 728337 40.07 39.85 39. 62 39.42 on i o 9.999404 .999398 . 999391 .999384 .999378 .10 i .12 .12 j .10 i 10 8.719396 . 721806 . 724204 .726588 . 728959 40.17 39.97 39. 73 39.52 QQ Of\ 11.280604 .278194 .275796 .273412 .271041 60 59 58 57 56 5 .730688 O7. lO 00 nc .999371 1 *- 10 .731317 O7. OU Of \ I f\ .2686S3 55 6 . 733027 oo. y OD 70 . 999304 I - 12 . 733WJ3 oy. 1U OO CO .266337 54 7 .735354 Oo. ^0 00 CC . 999357 10 . 735996 OO. OO 00 fQ .264004 53 8 9 . 737 (167 . 739969 00. OO 38.37 oo i 7 .999350 .999343 J - .12 : 1 9 .738317 .740626 Oo. Do 38.48 00 O7 .261683 .259374 52 51 10 .742259 Oo. i / 37.95 .999336 ! - .12 . 742922 Oo. 6t 38.08 .257078 50 11 12 13 14 15 16 17 18 8. 744536 . 746802 . 749055 . 751297 .753528 . 755747 .757955 .760151 37.77 37. 55 37.37 37.18 36.98 ' 36.80 36.60 Ot' ,10 9.999329 . 999322 . 999315 . 999308 .999301 .999294 .999287 .999279 .12 .12 .12 .12 .12 .12 .13 12 8. 745207 . 747479 .749740 . 751989 . 754227 .756453 .758668 . 760872 37.87 37.68 37.48 37.30 37.10 36.92 36.73 QJ: cc 11.254793 .252521 .2502(iO .248011 . 245773 .243547 .241332 .239128 49 48 47 46 45 44 43 42 19 .762337 oO. rlo .999272 .763065 oO. OO .236935 41 20 .764511 36.23 36.07 .999265 . 12 .13 . 765246 36. 35 36.18 .234754 40 21 22 23 24 25 26 27 28 29 30 8. 766675 . 768828 . 770970 . 773101 .775223 . 777333 .779434 . 781524 .783605 . 785675 35.88 35.70 35.52 35.37 35.17 35.02 34.83 34.68 34.50 84.35 9.999257 .999250 .999242 .999235 . 999227 .999220 .999212 .999205 .999197 .999189 .12 .13 .12 .13 .12 .13 .12 .13 .13 .13 8.767417 . 769578 .771727 . 773866 . 775995 .778114 . 780222 . 782320 . 784408 .786486 36. 02 35.82 35.65 35.48 35.32 35.13 34.97 34.80 34.63 34.47 11.232583 . 230422 . 228273 .226134 .224005 .221886 .219778 .217680 .215592 .213514 39 38 37 36 35 34 33 32 31 30 31 32 33 8. 787736 .789787 . 791828 34.18 34.02 9.999181 .999174 . 999166 .12 .13 f 8. 788554 .790613 . 792662 34.32 34.15 oo no 11.211446 .209387 .207338 29 28 27 34 35 36 . 793859 .795881 . 797894 33. 85 33.70 33.55 00 00 .999158 .999150 .999142 .id .13 .13 10 . 794701 . 796731 . 798752 BO. y 33.83 33.68 QQ CO .205299 . 2032G9 .201248 26 25 24 37 .799897 OO. Oo .999134 lo 10 .800763 oo. 0^ on 07 . 199237 23 38 39 .801892 .803876 33. 25 33.07 oo no .999126 .999118 lo .13 1 Q .802765 .804758 OO. Of 33.22 OO A 7 . 197235 .195242 22 21 40 .805852 62,. V6 32.78 .999110 lo .13 .806742 oo. U/ 32. 92 . 193258 20 41 42 8.807819 .809777 32.63 oo AQ 9.999102 .999094 .13 1 . 8.808717 . 810683 32.77 39 A9. 11.191283 .189317 19 18 43 44 45 46 47 48 49 50 .811726 .813667 .815599 .817522 . 819436 .821343 . 823240 .825130 oZ. 4o 32.35 32.20 32.05 31.90 31.78 31.62 31.50 31.35 .999086 .999077 .999069 .999061 . 999053 .999044 .999036 .999027 - lo .15 .13 .13 .13 .15 .13 .15 .13 . 812641 . 814589 .816529 .818461 .820384 . 822298 .824205 .826103 J. Do 32. 47 32.33 32.20 32.05 31.90 31.78 31.63 31.48 . 187359 .185411 . 183471 .181539 .179616 .177702 . 175795 . 173897 17 16 15 14 13 12 11 10 51 8.827011 01 oo 9.999019 1 8. 827992 01 Q7 11.172008 9 52 .828884 31. && .999010 . lo . 829874 ol. of 01 Ol . 170126 8 53 64 65 . 830749 . 832607 . 834456 31. 08 30.97 30.82 gn KQ .999002 .998993 .998984 . 13 .15 .15 1 Q . 831748 .833613 . 835471 Ol. ^0 31.08 30.97 or\ oo .168252 .166387 . 164529 7 6 5 66 57 68 59 60 . 836297 .838130 . 839956 .841774 8.843585 60. oo 30.55 30.43 30.30 30.18 .998976 .998967 .998958 .998950 9.998941 * lo .15 .15 .13 .15 . 837321 .839163 .840998 . 842825 8. 844644 oU. oO 30.70 30.58 30.45 30.32 . 162679 . 160837 . 159002 . 157175 11.155356 4 3 2 ' Cosine. D. 1". Cine. D. 1". Cotang. D. 1". Tang. / 80' 130 TANGENTS, AND COTANGENTS. 175' ' Sine. D. 1". Cosine. D.I". Tang. D.I". Cotang. ' 1 2 3 4 5 6 7 8 9 10 8. 843585 . 845387 . 8471S3 . 848971 . 850751 . 852525 . 854291 . 856049 .857801 . 859546 . 861283 30.03 29.93 29.80 29.67 29.57 29.43 29.30 29. 20 29.08 28.95 28.85 9. 998941 . 998932 . 998923 . 998914 .998905 . 998896 . 998887 . 998878 .998869 .998860 .998851 .15 .15 .15 .15 .15 .15 .15 .15 .15 .15 .17 8.844644 . 846455 . 848260 .850057 . 851846 . 853628 . 855403 . 857171 . 858932 .860686 . 862433 30.18 30.08 29.95 29.82 29.70 29.58 29.47 29.35 29.23 29.12 29.00 11. 155356 . 153545 . 151740 . 149943 . 148154 . 146372 .144597 . 142829 . 141068 . 139314 . 137567 60 59 58 57 56 55 54 53 52 51 50 11 12 13 14 8. 863014 . 864738 . 866455 . 868165 28.73 28.62 28.50 9. 998841 . 998832 . 998823 . 998813 .15 .15 .17 8. 864173 .865906 . 867632 . 869351 28.88 28.77 28.65 11. 135827 . 134094 . 132368 . 130649 49 48 47 46 15 16 17 18 19 20 . 869868 . 871565 . 873255 . 874938 . 876615 . 878285 28.28 28.17 28.05 27.95 27.83 27.73 . 998804 . 998795 . 998785 . 998776 . 998766 . 998757 .15 .17 .15 .17 .15 .17 .871064 . 872770 . 874469 . 876162 . 877849 . 879529 28.43 28.32 28.22 28.12 28.00 27.88 . 128936 . 127230 . 125531 . 123838 . 122151 . 120471 45 44 43 42 41 40 21 22 8. 879949 . 881607 27.63 9. 998747 . 998738 .15 8. 881202 . 882869 27.78 11. 118798 . 117131 39 38 23 24 25 26 27 28 29 30 . 883258 . 884903 .886542 . 888174 . 889801 . 891421 . 893035 . 894643 27.42 27.32 27.20 27.12 27.00 26.90 26.80 26.72 . 998728 . 998718 . 998708 . 998699 .998689 . 998679 . 998669 . 998659 .17 .17 .15 .17 .17 .17 .17 .17 . 884530 . 886185 . 887833 . 889476 .891112 . 892742 . 894366 . 895984 27.58 27.47 27.38 27.27 27.17 27.07 26.97 26.87 . 115470 . 113815 . 112167 . 110524 . 108888 . 107258 . 105634 . 104016 37 36 35 34 33 32 31 30 31 32 33 34 35 8. 896246 . 897842 . 899432 . 901017 . 902596 26.60 26.50 26.42 26.32 9. 998649 . 998639 . 998629 . 998619 .998609 .17 .17 .17 .17 8. 897596 . 899203 .900803 . 902398 . 903987 26.78 26.67 26.58 26.48 11. 102404 . 100797 . 099197 .097602 .096013 29 28 27 26 25 36 37 38 39 40 . 904169 . 905736 . 907297 .908853 . 910404 26.12 26.02 25.93 25.85 25.75 . 998599 . 998589 . 998578 . 998568 . 998558 .17 .18 .17 .17 .17 . 905570 . 907147 . 908719 . 910285 . 911846 26.28 26.20 26.10 26.02 25.92 . 094430 .092853 . 091281 . 089715 . 088154 24 23 22 21 20 41 42 43 44 45 46 47 48 49 50 8.911949 . 913488 . 915022 . 916550 . 918073 . 919591 . 921103 . 922610 . 924112 . 925609 25.65 25.57 25.47 25.38 25.30 25.20 25.12 25.03 24.95 24.85 9. 998548 . 998537 . 998527 . 998516 . 998506 . 998495 . 998485 . 998474 . 998464 . 998453 .18 .17 .18 .17 .18 .17 .18 .17 .18 .18 8. 913401 . 914951 . 916495 . 918034 . 919568 .921096 . 322619 . 924136 . 925649 . 927156 25.83 25.73 25.63 25.57 25.47 25.38 25.28 25.22 25.12 25.03 11. 086599 . 085049 .083505 . 081966 . 080432 . 078904 . 077381 . 075864 . 074351 . 072844 19 18 17 16 15 14 13 12 11 10 51 52 53 54 55 56 57 58 59 60 8. 927100 . 928587 . 9300G8 . 931544 . 933015 . 934481 . 935942 . 937398 . 938850 8. 940296 24.78 24.68 24.60 24.52 24.43 24.35 24.27 24.20 24.10 9. 998442 . 998431 . 998421 . 998410 . 998399 . 998388 . 998377 . 998366 . 998355 9. 998344 .18 .17 .18 .18 .18 .18 .18 .18 .18 8. 928658 . 930155 . 931647 . 933134 . 934616 . 936093 . 937565 . 939032 . 940494 8. 941952 24.95 24.87 24.78 24.70 24.62 24. 53 24.45 24.37 24.30 11.071342 . 069845 .068353 . 066866 . 065384 .063907 . 062435 .060968 . 059506 11. 058048 9 8 7 6 5 4 3 2 1 ' Cosine. D.I". Sine. D.I". Cotang. D.I". Tang. ' 94 c 85 s 131 TABLE 9. LOGARITHMIC SINES, COSINES, 174 ' Sine. D.I". Cosine. D.I" Tang. D.I". Cotang. ' 1 2 3 8. 940296 .941738 .943174 .944606 24.03 23. 93 23.87 9. 998344 . 998333 . 998322 . 998311 .18 .18 .18 8.941952 .943404 .944852 .946295 24.20 24.13 24.05 11.058048 . 056596 .055148 . 053705 60 59 58 57 4 5 .946034 .947456 23.70 . 998300 .998289 .18 .947734 .949168 23.90 .0522C6 .050832 56 55 6 7 8 9 10 . 948874 .950287 .951696 .953100 .954499 23.55 23.48 23.40 23.32 23.25 .998277 .998266 . 998255 .998243 . 998232 .18 .18 .20 .18 .20 .950597 . 952021 .953441 . 954856 .956267 23.73 23. 67 23.58 23.52 23.45 . 049403 .047979 .046.559 .045144 .043733 54 53 52 51 50 11 12 13 14 15 16 17 18 19 20 8.955894 .957284 .958670 .960052 .961429 . 962801 .964170 .965534 .966893 .968249 23.17 23.10 23.03 22.95 22. 87 22.82 22.73 22.65 22.60 22.52 9. 998220 .998209 .998197 . 998186 .998174 .998163 .998151 .998139 .998128 .998116 .18 .20 .18 .20 .18 .20 .20 .18 .20 .20 8.957674 .959075 .960473 .961866 .963255 .964639 .966019 . 967394 .968766 .970133 23.35 23.30 23.22 23.15 23.07 23.00 22.92 22.87 22.78 22.72 11.042326 .040925 .039527 .038134 .036745 .035361 .033981 .032606 .031234 .029867 49 48 47 46 45 44 43 42 41 40 21 22 23 24 25 26 27 28 29 30 8. 969600 .970947 .972289 .973628 .974962 .976293 .977619 .978941 .980259 .981573 22.45 22.37 22.32 22.23 22.18 22.10 22.03 21.97 21.90 21.83 9.998104 .998092 .998080 .998068 .998056 .998044 .998032 .998020 . 998008 .997996 .20 .20 .20 .20 .20 .20 .20 .20 .20 .20 8.971496 .972855 .974209 .975560 . 976906 .978248 .979586 .980921 .982251 .983577 22.65 22.57 22. 52 22.43 22. 37 22.30 22.25 22.17 22.10 22.03 11.028504 .027145 .025791 .024440 .023094 .021752 .020414 .019079 .017749 .016423 39 38 37 36 35 34 33 32 31 30 31 32 33 34 8. 982883 .984189 . 985491 .986789 21.77 21.72 21.63 9.997984 .997972 .997959 .997947 .20 .22 .20 8.984899 .986217 .987532 .988842 21.97 21.92 21.83 11.015101 . 013783 .012468 .011158 29 28 27 26 35 36 37 . 988083 .989374 . 990660 21.52 21.43 .997935 .997922 .997910 .22 .20 oo .990149 .991451 .992750 21.70 21.65 .009851 .008549 .007250 25 24 23 38 39 .991943 .993222 21.32 .997897 .997885 .20 .994045 .995337 21.53 .005955 .004663 22 21 40 .994497 21.18 .997872 . 996624 21.40 .003376 20 41 42 43 44 45 8.995768 . 997036 .998299 8. 999560 9.000816 21.13 21.05 21.02 20.93 9.997860 .997847 .997835 . 997822 .997809 .22 .20 .22 .22 8.997908 8.999188 9. 000465 .001738 .003007 21.33 21.28 21.22 21.15 11.002092 11.000812 10. 999535 .998262 .996993 19 18 17 16 15 46 47 48 49 50 .002069 .003318 .004563 .005805 .007044 20.82 20.75 20.70 20.65 20.57 .997797 .997784 .997771 .997758 .997745 .22 .22 .22 .22 .22 .004272 . 005534 . 006792 .008047 .009298 21.03 20.97 20.92 20.85 20.80 .995728 .994466 .993208 .991953 .990702 14 13 12 11 10 51 52 53 54 55 56 57 58 59 60 9. 008278 .009510 .010737 .011962 .013182 .014400 .015613 .016824 .018031 9.019235 20.53 20.45 20.42 20.33 20.30 20.22 20.18 20.12 20.07 9.997732 .997719 .997706 .997693 .997680 .997667 . 997654 .997641 .997628 9.997614 .22 .22 .22 .22 .22 .22 .22 .22 .23 9.010546 .011790 .013031 . 014268 .015502 .016732 .017959 .019183 .020403 9.021620 20.73 20.68 20.62 20.57 20.50 20.45 20.40 20.33 20.28 10. 989454 .988210 . 986969 .985732 .984498 . 983268 . 982041 .980817 .979597 10. 978380 9 8 7 6 5 4 3 2 1 ' Cosine. D.I" Sine. D. 1". Cotang. D. 1". Tang. ' 95 C 84 C 132 TANGENTS, AND COTANGENTS. 173 ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 1 9. 019235 . 020435 20.00 1 Q Q-^ 9. 997614 . 997601 .22 oo 9. 021620 . 022834 20. 23 on i v 10. 978380 . 977166 60 59 2 3 . 021632 . 022825 iy. yo 19.88 1 Q ft^ . 997588 . 997574 . ZZ .23 OO . 024044 . 025251 Z(J. 1 t 20.12 on n7 . 975956 . 974749 58 57 4 5 6 7 8 9 10 . 024016 . 025203 . 026386 . 027567 . 028744 . 029918 . 031089 iy. so 19.78 19.72 19.68 19.62 19. 57 19. 52 19.47 . 997561 . 997547 . 997534 . 997520 . 997507 . 997493 . 997480 . zz .23 .22 .23 .22 .23 .22 .23 . 026455 . 027655 . 02S852 . 030046 . 031237 . 032425 . 033609 ZO. Ot 20.00 19.95 19.90 19. 85 19.80 19.73 19.70 . 973545 . 972345 .971148 . 969954 .968763 . 967575 . 966391 56 55 54 53 52 51 50 11 9. 032257 19 40 9. 997466 383 9. 034791 1 Q fd 10. 985209 49 12 13 14 15 16 17 18 19 20 . 033421 . 034582 . 035741 . 036896 . 038048 . 039197 . 040342 . 041485 . 042625 19^35 19.32 19. 25 19.20 19.15 19. 08 19.05 19.00 18.95 . 997452 . 997439 . 997425 . 997411 . 997397 . 997383 . 997369 . 997355 . 997341 . Zo .22 .23 .23 .23 .23 .23 .23 .23 .23 . 035969 . 037144 . 038316 . 039485 . 040651 . 041813 . 042973 . 044130 . 045284 iy. 0*3 19.58 19.53 19.48 19.43 19. 37 19.33 19.28 19.23 19.17 . 964031 . 962856 . 961684 . 960515 . 959349 . 958187 . 957027 . 955870 . 954716 48 47 46 45 44 43 42 41 40 21 22 23 24 9. 043762 . 044895 . 046026 . 047154 18.88 18.85 18.80 1 Q 7 9. 997327 . 997313 . 997299 . 997285 .23 .23 .23 rto 9. 046434 . 047582 . 048727 . 049869 19.13 19.08 19.03 10. 953566 . 952418 . 951273 . 950131 39 38 37 36 25 . 048279 lo. /O I Q fiQ .997271 - _ OQ . 051008 18. 98 1 O QQ . 948992 35 26 27 . 049400 . 050519 lo. Da 18.65 10 f'A . 997257 . 997242 . Zo .25 OQ . 052144 . 053277 lo. yo 18.88 1 Q QQ . 947856 . 946723 34 33 28 29 30 . 051635 . 052749 . 053859 lo. OU 18. 57 18.50 18.45 . 997228 . 997214 . 997199 * Zo .23 .25 .23 . 054407 . 055535 . 056659 lo. OO 18.80 18.73 18.70 . 945593 . 944465 . 943341 32 31 30 31 32 33 34 35 36 37 38 39 40 9. 054966 . 056071 . 057172 . 058271 . 059367 . 060460 . 061551 . 062639 . 063724 . 064806 18.42 18.35 18.32 18.27 18.22 18. 18 18.13 18.08 18. 03 17.98 9. 997185 . 997170 . 997156 . 997141 . 997127 .997112 . 997098 . 997083 . 997068 . 997053 .25 .'23 .25 .23 .25 .23 .25 .25 .25 .23 9. 057781 . 058900 . 060016 .061130 . 062240 . 063348 . 064453 . 065556 . 066655 . 067752 18.65 18. (50 18.57 18.50 18.47 18.42 18.38 18.32 18.28 18.25 10. 942219 . 941100 . 939984 . 938870 . 937760 . 936652 . 935547 ' .934444 . 933345 . 932248 29 28 27 26 25 24 23 22 21 20 41 42 43 44 9.065885 .066962 . 068036 . OS9107 17. 95 17.90 17.85 1 7 QO 9. 997039 . 997024 .997009 . 996994 .25 .25 .25 9. 068846 . 069938 . 071027 .072113 .18. 20 18.15 18.10 10. 931154 . 930062 . 928973 . 927887 19 18 17 16 45 46 47 48 . 070176 . 071242 . 072306 . 073366 I/- &Z 17.77 17.73 17.67 1 7 ftQ . 996979 . 996964 . 996949 . 996934 . 25 .25 .25 .25 or . 073197 . 074278 . 075356 . 076432 18. 07 18.02 17.97 17.93 . 926803 . 925722 . 924644 . 923568 15 14 13 12 49 50 . 074424 . 075480 1 /. uo 17.60 17.55 . 996919 . 996904 j&D .25 .25 . 077505 . 078576 17. 88 17.85 17.80 . 922495 . 921424 11 10 51 52 53 54 55 56 57 58 9. 076533 . 077583 . 078631 . 079676 . 080719 . 081759 . 082797 .083832 17.50 17.47 17.42 17.38 17. 33 17.30 17. 25 | 7 nf\ 9. 996889 . 996874 . 996858 . 996843 .996828 .996812 . 996797 . 996782 .25 .27 .25 .27 .27 .25 .25 9. 079644 .080710 . 081773 . 082833 . 083891 . 084947 . 086000 . 087050 17.77 17.72 17. 67 17.63 17.60 17.55 17.50 10. 920356 . 919290 . 918227 . 917167 . 916109 . 915053 .914000 . 912950 9 8 7 6 5 4 3 2 59 60 . 084864 9. 085894 1 / . Z\) 17.17 . 996766 9. 996751 .27 .25 . 088098 9.089144 17. 47 17.43 .911902 10. 910856 1 ' Cosine. D. 1". Sine. D. 1". Co tang. D. 1". Tang. / 96 83 C 133 TABLE 9. LOGARITHMIC SINES, COSINES, 172' J Sine. D.I". Cosine. D. 1". Tang. D. 1". Cotang. J ' 9. 085894 9. 996751 9.089144 10.910856 GO 1 2 3 4 5 6 7 8 9 10 . 086922 . 087947 . 088970 . 089990 .091008 . 092024 . 093037 . 094047 . 095056 . 096062 17.08 17.05 17.00 16.97 16.93 16.88 16.83 16.82 16.77 16.72 . 996735 . 996720 . 996704 . 996688 . 996673 . 996657 . 996641 . 996625 . 996610 . 996594 .25 .27 .27 .25 .27 .27 .27 .25 .27 .27 .090187 .091228 . 092266 . 093302 . 094336 . 095367 . 096395 . 097422 . 098446 . 099468 17.35 17.30 17.27 17.23 17.18 17.13 17.12 17.07 17.03 16.98 .909813 . 908772 . 907734 . 906698 . 905664 . 904633 . 903605 . 902578 . 901554 .900532 59 58 57 56 55 54 53 32 51 50 11 12 13 14 15 16 17 18 19 20 9. 097065 . 098066 . 099065 .100062 . 101056 . 102048 . 103037 . 104025 . 105010 . 105992 16.68 16.65 16.62 16.57 16.53 16.48 16.47 16.42 16.37 16.35 9. 996578 . 996562 . 996546 . 996530 . 996514 . 996498 . 996482 . 9964(i5 . 996449 . 996433 .27 .27 .27 .27 .27 .27 .28 .27 .27 .27 9. 100487 . 101504 . 102519 . 103532 . 104542 . 105550 . 106556 . 107559 .108560 . 109559 16.95 16.92 16.88 16.83 16.80 16.77 16. 72 16.68 16.65 16.62 10. 899513 . 898496 . 897481 . 896-468 . 895458 . 894450 . 893444 . 892441 . 891440 .890441 49 48 47 46 45 44 43 42 41 40 21 22 23 24 25 26 27 28 29 30 9. 106973 . 107951 . 108927 .109901 . 110873 . 111842 . 112809 .113774 . 114737 . 115698 16.30 16.27 16.23 16.20 16.15 16.12 16.08 16.05 16.02 15.97 9. 996417 . 996400 . 996384 . 996368 . 996351 .996335 . 996318 .996302 . 996285 . 996269 .28 .27 .27 .28 .27 .28 .27 .28 .27 .28 9. 110556 .111551 . 112543 .113533 . 114521 . 115507 . 116491 . 117472 . 118452 . 119429 16.58 1C). 53 16.50 16.47 16.43 16. 40 16.35 16.33 16.28 16.25 10. 889444 .888449 . 887457 . 886467 .885479 . 884493 . 883509 . 882528 . 881548 . 880571 39 38 37 36 35 34 33 32 31 30 31 32 33 34 35 36 37 38 39 40 9. 116656 . 117613 . 118567 .119519 . 120469 . 121417 . 122362 . 123306 . 124248 . 125187 15.95 15.90 15.87 15.83 15.80 15.75 15.73 15.70 15.65 15.63 9. 996252 . 996235 . 996219 . 996202 . 996185 . 996168 . 996151 . 996134 .996117 . 996100 .28 .27 .28 .28 .28 .28 .28 .28 .28 .28 9. 120404 .121377 . 122348 . 123317 . 124284 . 125249 . 126211 . 127172 . 128130 . 129087 16.22 16. 18 16.15 16. 12 16 08 16.03 16. 02 15.97 15.95 15.90 10. 8795% . 878623 . 877652 . 876683 . 875716 . 874751 . 873789 . 872828 . 871870 . 870913 29 28 27 26 25 24 23 22 21 20 41 42 43 44 45 46 47 48 49 50 9. 126125 . 127060 . 127993 . 128925 . 129854 . 130781 . 131706 . 132630 . 133551 . 134470 15.58 15. 55 15.53 15.48 15.45 15.42 15.40 15.35 15.32 15.28 9. 996083 .996066 . 996049 . 996032 . 996015 . 995998 . 995980 . 995963 . 995946 . 995928 .28 .28 .28 .28 .28 .30 .28 .28 .30 .28 9. 130041 . 130994 . 131944 . 132893 . 133839 . 134784 . 135726 . 136667 .137605 . 138542 15.88 15.83 15.82 15.77 15.75 15.70 15.68 15.63 15.62 15.57 10. 869959 . 869006 . 868056 . 88^107 . 866161 .865216 . 864274 . 863333 . 862395 . 861458 19 18 17 16 15 14 13 12 11 10 51 52 53 54 55 56 58 59 60 9. 135387 . 136303 . 137216 . 138128 . 139037 . 139914 . 140850 . 141754 . 142655 9. 143555 15.27 15.22 15.20 15.15 15.12 15.10 15.07 15.02 15.00 9. 995911 . 995894 . 995876 . 995859 . 995841 . 995823 . 995806 .995788 . 995771 9. 995753 .28 .30 .28 .30 .30 .28 .30 .28 .30 9. 139476 . 140409 . 141340 . 142269 . 143196 .144121 . 145044 . 145966 . 146885 9. 147803 15.55 15.52 15. 48- 15.45 15.42 15.38 15.37 15. 32 15.30 10. 860524 . 859591 . 858660 . 857731 .856804 . 855879 . 854956 . 854034 .853115 10. 852197 9 8 7 6 5 4 3 2 1 ' Cosine. D.I". Sine. D.I". Cotang. D.I". Tang. ' 97* 82' 134 TANGENTS, AND COTANGENTS. 171' ' Sine. D.I". Cosine. D.I". Tang. D.I". Cotang. ' 1 2 3 4 5 6 7 8 9 9. 143555 . 144453 . 145349 . 146243 . 147136 . 148026 . 148915 . 149802 . 150686 .151569 14.97 14.93 14.90 14.88 14.83 14. 82 14.78 14.73 14.72 9. 995753 . 995735 . 995717 . 995699 . 995681 . 995664 . 995646 . 995628 . 995610 . 995591 .30 .30 .30 .30 .28 .30 .30 .30 .32 Ofl 9. 147803 . 148718 . 149632 . 150544 . 151454 . 152363 . 153269 . 154174 . 155077 . 155978 15.25 15.23 15.20 15.17 15.15 15.10 15.08 15.05 15.02 UQQ 10. 852197 .851282 . 850368 . 849456 . 848546 . 847637 . 846731 . 845826 . 844923 . 844022 60 59 58 57 66 55 54 53 52 51 10 . 152451 14. 70 14.65 . 995573 . oU .30 . 156877 . ys 14.97 . 843123 50 11 12 13 14 15 16 17 18 19 20 9. 153330 . 154208 .155083 . 155957 . 156830 . 157700 . 158569 . 159435 . 160301 . 161164 14. 63 14.58 14.57 14.55 14.50 14.48 14.43 14.43 14.38 14.35 9. 995555 . 995537 . 995519 . 995501 . 995482 . 995464 . 995446 .995427 . 995409 . 995390 .30 .30 .30 .32 .30 .30 .32 .30 .32 .30 9. 157775 . 158671 . 159565 . 160457 . 161347 . 162236 . 163123 .164008 . 164892 . 165774 14.93 14.90 14.87 14.83 14.82 14.78 14.75 14.73 14.70 14.67 10. 842225 . 841329 . 840435 . 839543 .838653 . 837764 . 836877 . 835992 . 835108 . 834226 49 48 47 46 45 44 43 42 41 40 21 22 23 24 25 26 27 28 29 30 9. 162025 . 162885 . 163743 . 164600 . 165454 . 166307 . 167159 . 1C8008 . 168856 . 169702 14.33 14.30 14.28 14. 23 14.22 14.20 14.15 14.13 14.10 14.08 9. 995372 . 995353 . 995334 .995316 . 995297 .995278 . 995260 . 995241 . 995222 . 995203 .32 .32 .30 .32 .32 .30 .32 .32 .32 .32 9. 166654 . 167532 . 168409 . 169284 . 170157 . 171029 . 171899 . 172767 . 173634 . 174499 14.63 14. 62 14.58 14.55 14.53 14.50 14.47 14.45 14.42 14.38 10. 833346 . 832468 . 831591 .830716 . 829843 . 828971 . 828101 .827233 . 826366 .825501 39 38 37 36 35 34 33 32 31 30 31 32 33 34 35 36 37 9. 170547 . 171389 . 172230 . 173070 . 173908 . 174744 . 175578 14.03 14.02 14.00 13.97 13.93 13.90 1 O OO 9. 995184 .995165 . 995146 .995127 . 995108 .995089 . 995070 .32 .32 .32 .32 .32 .32 00 9. 175362 . 176224 . 177084 . 177942 . 178799 . 179655 .180508 14. 37 14.33 14.30 14.28 14.27 14.22 HQrt 10. 824638 .823776 .822916 .822058 . 821201 . 820345 . 819492 29 28 27 26 25 24 23 38 39 17R411 io. oo . 1/D411 1Q CK 177242 . 995051 . 995032 . O4 .32 Ort . 181360 .182211 . \J 14.18 1 A. 1 Q . 818640 . 817789 22 21 40 '. 178072 Jjj- |j .995013 * OA .33 . 183059 14. lo 14.13 .816941 20 41 9. 178900 1 Q 77 9. 994993 00 9. 183907 UriQ 10. 816093 19 42 . 179726 lo. / / 1 Q 7 .994974 O qo . 184752 . uo i A. nft .815248 18 43 . 180551 io. to .994955 o . 185597 14. Uo .814403 17 44 45 46 47 48 49 50 . 181374 . 182196 . 183016 . 183834 . 184651 . 185466 . 186280 13.72 13.70 13.67 13. 63 13.62 13.58 13.57 13.53 .994935 .994916 .994896 . 994877 . 994857 . 994838 . 994818 . 33 .32 .33 .32 .33 .32 .33 .33 . 186439 . 187280 -.188120 . 188958 . 189794 . 190629 . 191462 14. 03 14.02 14.00 13.97 13.93 13. 92 13.88 13.87 . 813561 . 812720 . 811880 . 811042 . 810206 . 809371 . 808538 16 16 14 13 12 11 10 51 52 53 54 55 56 57 58 59 60 9. 187092 . 187903 . 188712 . 189519 . 190325 . 191130 . 191933 . 192734 . 193534 9. 194332 13.52 13.48 13.45 13. 43 13.42 13. 38 13. 35 13. 33 13.30 9. 994798 . 994779 .994759 . 994739 .994720 . 994700 . 994680 . 994660 . 994640 9. 994620 .32 .33" .33 .32 .33 .33 .33 .33 .33 9. 192294 . 193124 . 193953 . 194780 . 195606 . 196430 . 197253 . 198074 . 198S94 9. 199713 13.83 13.82 13.78 13.77 13.73 13.72 13.68 13.67 13.65 10. 807706 .80b876 .806047 . 8U5220 .804394 . 80b570 .802747 . 801926 . 801106 10.800287 9 8 7 6 5 4 3 2 1 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 81' 135 TABLE 9. LOGARITHMIC SINES, COSINES, 170 e / Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 1 2 3 9.194332 . 195129 . 195925 .196719 13.28 13.27 13.23 i 9 on 9. 994620 . 994600 . 994580 . 994560 .33 .33 .33 oo 9.199713 . 200529 .201345 .202159 13.60 13.00 13.57 10.800287 . 799471 . 798055 . 797841 60 59 58 57 4 5 .197511 . 198302 1 O. \J 13.18 19 1 S. . 994540 . 994519 * oo .35 00 . 202971 . 203782 13. 53 13.52 . 797029 .796218 56 55 6 7 8 9 . 199091 . 199879 . 200660 . 201451 Jo. 1 Q 13.13 13.12 13.08 i . 994499 . 994479 . 994459 . 994438 OO .33 .33 .35 . 204592 . 205400 . 200207 .207013 13. 50 13.47 13.45 13.43 . 795408 .794600 . 793793 . 792987 54 53 52 51 10 . 202234 13. 05 13.05 .994418 . 33 .33 . 207817 13.40 13.37 .792183 50 11 12 13 14 15 16 17 18 19 20 9.203017 . 203797 . 204577 . 205354 .206131 . 20ti906 . 207679 . 208452 . 209222 . 209992 13.00 13.00 12.95 12.95 12.92 12.88 12.88 12.83 12.83 12.80 9.994398 . 994377 . 994357 . 994330 .994316 . 994295 . 994274 . 994254 . 994233 . 994212 .35 .33 .35 .33 .35 .35 .33 .35 .35 .35 9. 208619 . 209420 .210220 .211018 .211815 . 212011 . 213405 .214198 .214989 . 215780 13.35 13.33 13.30 13.28 13.27 13.23 13.22 13.18 13.18 13.13 10. 791381 . 790580 . 789780 . 788982 .788185 . 787389 . 786595 . 785802 .785011 . 784220 49 48 47 46 45 44 43 42 41 40 21 22 23 24 25 26 27 28 29 30 9. 210760 . 211526 .212291 .213055 .213818 .214579 .215338 .216097 .216854 .217609 12.77 12.75 12.73 12.72 12.68 12.65 12. 05 12.62 12.58 12.57 9. 994191 .994171 . 994150 .994129 .994108 . 994087 . 994006 . 994045 . 994024 . 994003 .33 .35 .35 .35 .35 .35 .35 .35 .35 .35 9.216568 . 217356 .218142 .218926 .219710 . 220492 . 221272 . 222052 . 222830 . 223607 13.13 13.10 13.07 13.07 13.03 13.00 13.00 12.97 12.95 12.92 10. 783432 . 782644 .781858 .781074 . 780290 . 779508 . 778728 . 777948 .777170 . 776393 39 38 37 36 35 34 33 32 31 30 31 9. 218303 9. 993982 9. 224382 10. 775618 29 32 33 34 35 36 37 38 39 40 .219116 . 219808 .220018 .221307 .222115 .222861 . 223006 .224349 .225092 12.55 12.53 12.50 12.48 12.47 12.43 12.42 12.38 12.38 12.35 . 993960 . 993939 . 993918 993897 .993875 .993854 . 993832 .993811 . 993789 . 37 .35 .35 .35 .37 .35 .37 .35 .37 .35 . 225156 . 225929 . 226700 . 227471 . 228239 . 229007 . 229773 . 230539 .231302 12.90 12.88 12.85 12.85 12.80 12.80 12.77 12.77 12.72 12.72 . 774844 . 774071 . 773300 . 772529 .771761 .770993 . 770227 . 769461 . 768698 28 27 26 25 24 23 22 21 20 41 42 43 44 45 46 47 0. 225833 .226573 .227311 .228048 . 228784 .229518 . 230252 12.33 12.30 12.28 12.27 12.23 12.23 9. 993768 . 993746 . 993725 . 993703 . 993681 .993660 . 993038 .37 .35 .37 .37 .35 .37 9. 232065 . 232826 . 233586 . 234345 .235103 . 235859 . 236614 12.68 12.67 12.65 12.63 12.60 12.58 10. 767935 .767174 .766414 . 765655 . 764897 .764141 . 763386 19 18 17 16 15 14 13 48 49 50 . 230984 .231715 . 232444 12. 20 12.18 12.15 12.13 .993616 . 993594 . 993572 . 37 .37 .37 .37 . 237368 .238120 . 238872 12. 57 12.53 12.53 12.50 . 762032 . 761880 .761128 12 11 10 51 52 53 54 55 56 57 58 9.233172 . 233899 . 234625 . 235349 . 236073 . 236795 .237515 . 238235 12.12 12.10 12. 07 12.07 12.03 12.00 12.00 nn*7 9. 993550 . 993528 . 993506 . 993484 . 993462 . 993440 . 993418 . 993396 .37 .37 .37 .37 .37 .37 .37 9. 239622 . 240371 .241118 . 241865 . 242010 . 243354 . 244097 . 244839 12.48 12.45 12.45 12.42 12.40 12.38 12.37 10. 760378 . 759629 . 758882 . 758135 . 757390 . 756640 . 755903 . 755101 9 8 7 6 5 4 3 2 59 60 . 238953 9. 239670 . 97 11.95 . 993374 9. 993351 . 37 .38 . 245579 9. 240319 12. 33 12.33 . 754421 10. 753681 1 ' Cosine. D. 1". Sine. D. 1". i Cotang. D.I". Tang. ' 99 80' 136 10 C TANGENTS, AND COTANGENTS. 169 C ' Sine. D. 1". Cosine, D. 1". Tang. D.I". Cotang. ' 1 2 9.239670 . 240386 .241101 11.93 11.92 noo 9. 993351 . 993329 . 993307 37 .37 oo 9. 246319 . 247057 . 247794 12.30 12.28 1 9 97 10. 753681 . 752943 . 752206 60 59 58 3 4 5 6 7 8 9 10 . 241814 . 242526 . 243237 . 243947 .244656 . 245363 . 246069 . 246775 . OO 11.87 11.85 11.83 11.82 11.78 11.77 11.77 11.72 . 993284 . 993262 . 993240 .993217 . 993195 . 993172 . 993149 . 993127 . OO .37 .37 .38 .37 .38 .38 .37 .38 . 248530 . 249264 . 249998 . 250730 .251461 . 252191 . 252920 . 253648 12^23 12.23 12.20 12.18 12.17 12.15 12.13 12.10 . 751470 . 750736 .750002 . 749270 . 748539 . 747809 . 747080 . 746352 57 56 55 54 53 52 51 50 11 12 13 14 15 16 17 9. 247478 . 248181 .248883 .249583 . 250282 .250980 . 251677 11.72 11.70 11.67 11.65 11.63 11.62 nAA 9. 993104 . 993081 . 993059 . 993036 . 993013 . 992990 . 992967 .38 .37 .38 .38 .38 .38 OQ 9. 254374 . 255100 .255824 . 256547 . 257269 . 257990 . 258710 12.10 12.07 12.05 12.03 12.02 12.00 nQO 10. 745626 . 744900 . 744176 . 743453 . 742731 . 742010 . 741290 49 48 47 46 45 44 43 18 . 252373 . OU . 992944 00 OQ . 259429 . i7O . 740571 42 19 .253067 11. 57 HK7 . 922921 . OO OQ .260146 11. 95 . 739854 41 20 . 253761 .. of 11.53 . 992898 . OO .38 . 260863 11." 92 . 739137 40 21 9. 254453 nco 9. 992875 OQ 9. 261578 10. 738422 39 22 .255144 . - '_: . 992852 OO OQ . 262292 11. 90 . 737708 38 23 24 . 255834 .256523 1L48 nA7 . 992829 . 992806 . OO .38 OQ . 263005 .263717 11. 88 11.87 . 736995 . 736283 37 36 25 .257211 . 4/ UAK . 992783 . OO . 264428 11. 85 Hoo . 735572 35 26 257898 . 30 UAC\ . 992759 QQ . 265138 . OO . 734862 34 27 .258583 . * nAO . 992736 . OO OQ . 265847 11. 82 Ucn . 734153 33 28 . 259268 . *Z nOQ . 992713 OO OQ . 266555 . oU U77 . 733445 32 29 30 . 259951 .260633 . OO 11.37 11.35 . 992690 . 992666 . OO .40 .38 . 267261 . 267967 . / / 11.77 11.73 . 732739 . 732033 31 30 31 32 33 34 35 36 37 9. 261314 .261994 .262673 .263351 .264027 .264703 . 265377 11.33 11.32 11.30 11.27 11.27 11.23 1 1 2S 9. 992643 . 992619 . 992596 . 992572 . 992549 . 992525 . 992501 .40 .38 .40 .38 .40 .40 oo 9. 268671 . 269375 .270077 . 270779 .271479 . 272178 .272876 11.73 11.70 11.70 11.67 11.65 11.63 10. 731329 . 730625 . 729923 . 729221 . 728521 . 727822 . 727124 29 28 27 26 25 24 23 38 39 40 .266051 . 266723 . 267395 1L20 11.20 11.17 . 992478 . 992454 . 992430 . OO .40 .40 .40 . 273573 . 274269 . 274964 11. 62 11.60 11. 58 11.57 . 726427 . 725731 . 725036 22 21 20 41 9 268065 ni ^ 9. 992406 9. 275658 nKK 10. 724342 19 42 43 44 45 . 268734 . 269402 270069 . 270735 . lo 11. 13 11.12 11.10 Uf\Q . 992382 . 992359 . 992335 .992311 !38 .40 .40 A{\ . 276351 . 277043 .277734 . 278424 . OO 11.53 11.52 11.50 nAQ . 723649 . 722957 . 722266 . 721576 18 17 16 15 46 47 48 49 50 . 271400 .272064 . 272726 .273388 . 274049 . UO 11.07 11.03 11.03 11.02 10.98 . 992287 . 992263 . 992239 . 992214 . 992190 4U .40 .40 .42 .40 .40 . 279113 . 279801 .280488 .281174 .281858 4o 11.47 11.45 11.43 11.40 11.40 . 720887 . 720199 . 719512 . 718826 . 718142 14 13 12 11 10 51 9. 274708 -If) QO 9. 992166 40 9. 282542 nOQ 10. 717458 9 52 53 54 .275367 .276025 .276681 1U. *7O 10.97 10.93 in QQ . 992142 . 992118 .992093 . 4U .40 .42 A(\ . 283225 .283907 . 284588 . OO 11.37 11.35 .716775 . 716093 . 715412 8 7 6 55 56 57 58 59 60 .277337 . 277991 . 278645 .279297 . 279948 9. 280599 J.U. VM 10.90 10.90 10.87 10.85 10.85 .992069 . 992044 . 992020 .991996 . 991971 9. 991947 . 4U .42 .40 .40 .42 .40 . 285268 . 285947 . 286624 . 287301 . 287977 9. 288652 11. 33 11.32 11.28 11.28 11.27 11.25 . 714732 . 714053 .713376 . 712699 . 712023 10. 711348 5 4 3 2 1 Cosine, i D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 100 c 79' 137 11' TABLE 9. LOGARITHMIC SINES, COSINES, 168 ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 1 2 3 4 5 9. 280599 . 281248 . 281897 . 282544 .283190 .283836 10.82 10.82 10.78 10.77 10.77 9. 991947 . 991922 . 991897 . 991873 . 991848 . 991823 .42 .42 .40 .42 .42 9. 288652 . 289326 . 289999 . 290671 . 291342 . 292013 11.23 11.22 11.20 11.18 11.18 10. 711348 . 710674 . 710001 . 709329 .708658 . 707987 60 59 58 57 56 55 6 7 8 . 284480 .285124 . 285766 10.73 10.70 . 991799 . 991774 . 991749 .42 .42 . 292682 . 293350 . 294017 11.13 11.12 . 707318 .706650 .705983 54 53 52 9 10 . 286408 .287048 10.67 10.67 . 991724 . 991699 .42 .42 . 294684 . 295349 11.08 11.07 .705316 . 704651 51 50 11 12 13 14 9. 287688 .288326 .288964 .289600 10.63 10.63 10.60 9. 991674 . 991649 . 991624 . 991599 .42 .42 .42 9.296013 . 296677 . 297339 . 298001 11.07 11.03 11.03 10. 703987 . 703323 . 702661 . 701999 49 48 47 46 15 16 17 18 19 20 . 290236 .290870 . 291504 . 292137 . 292768 . 293399 10.57 10.57 10.55 10.52 10.52 10.50 . 991574 . 991549 . 991524 . 991498 . 991473 . 991448 .42 .42 .43 .42 .42 .43 . 298662 . 299322 . 299980 . 300638 . 301295 . 301951 11.00 10.97 10.97 10.95 10.93 10.93 . 701338 .700678 .700020 . 699362 . 698705 . 698049 45 44 43 42 41 40 21 22 23 24 25 26 27 28 29 30 9. 294029 . 294658 . 295286 . 295913 . 296539 . 297164 . 297788 . 298412 . 299034 .299655 10.48 10.47 10.45 10.43 10.42 10.40 10.40 10.37 10. 35 10.35 9. 991422 . 991397 . 991372 . 991346 . 991321 . 991295 . 991270 . 991244 . 991218 . 991193 .42 .42 .43 .42 .43 .42 .43 .43 .42 .43 9. 302607 . 303261 . 303914 . 304567 . 305218 . 305869 .306519 . 307168 . 307816 . 308463 10.90 10.88 10.88 10.85 10.85 10.83 10.82 10.80 10.78 10.77 10. 697393 . 696739 . 696086 . 695433 . 694782 . 694131 . 693481 .692832 . 692184 . 691537 39 38 37 36 35 34 33 32 31 30 31 32 33 34 35 36 37 38 39 40 9. 300276 . 300895 .301514 . 302132 . 302748 . 303364 . 303979 . 304593 . 305207 . 305819 10.32 10.32 10.30 10.27 10.27 10.25 10.23 10.23 10.20 10.18 9. 991167 . 991141 . 991115 .991090 . 991064 . 991038 . 991012 . 990986 .990960 . 990934 .43 .43 .42 .43 .43 .43 .43 .43 .43 .43 9. 309109 . 309754 . 310399 . 311042 .311685 . 312327 . 312968 . 313608 . 314247 .314885 10.75 10.75 10.72 10.72 10.70 10.68 10.67 10.65 10.63 10.63 10. 690891 . 690246 . 689601 .688958 .688315 . 687673 .687032 .686392 .685753 . 685115 29 28 27 26 25 24 23 22 21 20 41 42 43 44 45 46 47 48 49 50 9. 306430 . 307041 . 307650 . 308259 . 308867 . 309474 .310080 .310685 . 311289 . 311893 10.18 10.15 10.15 10.13 10.12 10.10 10.08 10.07 10.07 10.03 9. 990908 .990882 .990855 .990829 .990803 . 990777 . 990750 . 990724 . 990697 .990671 .43 .45 .43 .43 .43 .45 .43 .45 .43 .43 9. 315523 . 316159 . 316795 . 317430 . 318064 . 318697 . 319330 . 319961 . 320592 . 321222 10.60 10.60 10.58 10.57 10.55 10.55 10.52 10.52 10.50 10.48 10. 684477 .683841 .683205 . 682570 . 681936 . 681303 .680670 .680039 . 679408 . 678778 19 18 17 16 15 14 13 12 11 10 51 52 53 54 55 56 57 58 59 60 9. 312495 . 313097 . 313698 . 314297 . 314897 .315495 . 316092 . 316689 . 317284 9. 317879 10.03 10.02 9.98 10.00 9.97 9.95 9.95 9.92 9.92 9.990645 .990618 .990591 .990565 . 990538 . 990511 .990485 . 990458 . 990431 9. 990404 .45 .45 .43 .45 .45 .43 .45 .45 .45 9. 321851 . 322479 .323106 . 323733 .324358 . 324983 . 325607 . 326231 .326853 9. 327475 10.47 10.45 10.45 10.42 10.42 10.40 10. 40 10. 37 10.37 10. 678149 . 677521 . 676894 . 676267 . 675642 . 675017 . 674393 . 673769 . 673147 10. 672525 9 8 7 6 5 4 3 2 1 ' Cosine. IX 1". Sine. D. 1". Cotang. D. 1". Tang. ' 101 78 C 138 TANGENTS, AND COTANGENTS. 167' ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 1 2 3 4 5 6 7 8 9 10 9. 317879 . 318473 .319060 .319058 . 320249 . 320840 .321430 . 322019 . 322007 . 323194 . 323780 9.90 9.88 9.87 9.85 9.85 9.83 9.82 9.80 9.78 9.77 9.77 9. 990404 . 990378 .990351 . 990324 . 990297 . 990270 . 990243 .990215 . 990188 . 990101 . 990134 .43 .45 .45 .45 .45 .45 .47 .45 .45 .45 .45 9. 327475 . 328095 . 328715 . 329334 . 329953 . 330570 .331187 . 331803 . 332418 . 333033 . 333646 10.33 10. 33 10.32 10.32 10.28 10.28 10.27 10.25 10.25 10.22 10.22 10. 672525 . 671905 . 671285 . 670606 . 670047 . 669430 . 668813 . 668197 . 667582 . 666967 .666354 60 59 58 57 56 55 54 53 52 51 50 11 12 13 14 15 16 17 18 19 9. 324306 . 324950 . 325534 . 320117 . 326700 . 327281 . 327862 . 328442 . 329021 9.73 9.73 9.72 9.72 9.68 9.68 9.67 9.05 9. 990107 . 990079 . 990052 . 990025 . 989997 . 989970 . 989942 . 989915 . 989887 .47 .45 .45 .47 .45 .47 .45 .47 9. 334259 . 334871 . 335482 . 336093 . 336702 . 337311 . 337919 . 338527 . 339133 10.20 10.18 10.18 10.15 10.15 10.13 10.13 10.10 10. 665741 .665129 . 664518 . 663907 . 663298 . 662689 .662081 . 661473 . 660807 49 48 47 46 45 44 43 42 41 20 . 329599 9. 03 "9.02 . 989800 . 45 .47 . 339739 10. 10 10.08 .600261 40 21 22 9. 330176 . 330753 9.02 Q An 9. 989832 . 989804 .47 AK 9. 340344 . 340948 10.07 10 07 10. 659656 . 659052 39 38 23 24 25 26 27 28 . 331329 . 331903 . 332478 . 333051 . 333624 . 334195 y. ou 9.57 9.58 9.55 9.55 9.52 O ro . 989777 . 989749 . 989721 . 989093 . 989005 .989637 4O .47 .47 .47 .47 .47 . 341552 . 342155 . 342757 . 343358 . 343958 . 344558 mos 10.03 10.02 10.00 10.00 &ftO . 658448 . 657845 . 657243 .656642 . 056042 .655442 37 36 35 34 33 32 29 30 . 334767 . 335337 y. oo 9.50 9.48 . 989010 . 989582 !47 .48 . 345157 . 345755 . uo 9.97 9.97 . 654843 .654245 31 30 31 9. 335906 &AQ 9. 989553 An 9. 346353 10. 653647 29 32 . 336475 4o &A1 . 989525 4/ . 346949 ft ft .653051 28 33 . 337043 . 4/ Q 45 . 989497 47 . 347545 Q CM . 652455 27 34 . 337610 &.40 . 989469 * A7 .348141 o nn .651859 26 35 . 338176 . 4o . 989441 " 47 .348735 ft QA . 651265 25 36 37 . 338742 . 339307 9! 42 Q 40 . 989413 . 989385 . 4* .47 AQ . 349329 . 349922 y. yu 9.88 Q Q7 . 650671 .650078 24 23 38 . 339871 y. 4U . 989356 4o . 350514 y. o/ Q C7 . 649486 22 39 .340434 ft 07 . 989328 AfJ .351106 y. o* . 648894 21 40 . 340996 y. o/ 9.37 . 989300 . 4/ .48 . 351697 9. 85 9.83 . 648303 20 41 42 9. 341558 .342119 9.35 9. 989271 . 989243 .47 9. 352287 . 352876 9.82 900 10. 647713 . 647124 19 18 43 44 . 342679 . 343239 9! 33 9 on . 989214 . 989186 !47 AQ . &5346S . 354053 . Ow5 9.80 .646535 . 645947 17 16 45 46 . 343797 . 344355 . oU 9.30 9 28 . 989157 . 989128 4o .48 An . 354640 .355227 9! 78 Q 77 . 645360 . 644773 15 14 47 48 49 . 344912 . 345469 . 346024 9! 28 9.25 . 989100 . 989071 . 989042 * 4/ .48 .48 . 355813 .356398 . 356982 y. / / 9.75 9.73 970 . 644187 .643602 . 643018 13 12 11 50 . 346579 9! 25 . 989014 !48 . 357566 . /O 9.72 . 642434 10 51 9. 347134 ft OO 9. 988985 AQ 9.358149 97n 10. 641851 9 52 53 .347687 . 348240 y. & 9.22 Q on . 988956 .988927 m 4O .48 AQ .358731 . 359313 . /U 9.70 Q A7 . 641209 .640687 8 7 54 . 348792 y. z\j ft -1 D . 988898 4o AQ . 359893 y. o/ ft /?0 . 640107 6 55 . 349343 y. io Q 17 .988869 . 4o AQ . 360474 y. oo ft fie . 639526 5 56 . 349893 y. j. / . 988840 4o . 361053 y. IK) . 638947 4 57 58 . 350443 .350992 9. 17 9.15 Q 1 .988811 . 988782 .48 .48 AQ . 361632 . 362210 9. G5 9.63 n f\*y . 638308 .637790 3 2 59 60 . 351540 9.352088 y. io 9.13 . 988753 9. 988724 4o .48 . 362787 9.363364 y. \)i 9.62 . 637213 10. 636636 1 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 77 139 13' TABLE 9. LOGARITHMIC SINES, COSINES, 166 C ' Sine. D. 1". Cosine. D. 1". Tang. D. I". Cotang. 1 2 3 4 5 6 7 8 9 10 9. 352088 . 352635 . 353181 . 353726 . 354271 . 354815 . 355358 . 355901 . 356443 . 356984 . 357524 9.12 9.10 9.08 9.08 9.07 9.05 9.05 9.03 9.02 9.00 9.00 9. 988724 . 988695 .988666 .988636 . 988607 . 988.578 .988548 . 988519 . 988489 . 988460 . 988430 .48 .48 .50 .48 .48 .50 .48 .50 .48 .50 .48 9. 363364 . 363940 . 364515 .365090 . 365664 . 366237 . 366810 . 367382 . 367953 . 368524 .369094 9.60 9.58 9.58 9.57 9.55 9.55 9.53 9.52 9.52 9.50 9.48 10. 636636 .636060 .635485 . 634910 . 634336 . 633763 .633190 . 632618 . 632047 . 631476 .630606 60 59 58 57 56 55 54 53 51 50 11 12 9. 358064 . 358603 8.98 O Q7 9. 988401 .988371 .50 AQ 9. 369663 . 370232 9.48 10. 630337 . 629768 49 48 13 14 15 . 359141 . 359678 . 360215 o. y* 8.95 8.95 o QC .988342 .988312 . 988282 . 48 .50 .50 . 370799 . 371367 . 371933 9. 45 9.47 9.43 . 629201 . 628633 . 628067 47 46 45 16 . 360752 o. yo QO . 988252 . 50 . 372499 9. 43 . 627501 44 17 18 19 . 361287 . 361822 . 362356 o. v 8.92 8.90 O 00 . 988223 . 988193 . 988163 '.50 .50 CA . 373064 . 373629 . 374193 9. 42 9.42 9.40 . 626936 . 626371 . 625807 43 42 41 20 . 362889 0. OO 8.88 . 988133 ou .50 . 374756 9. 38 9.38 . 625244 40 21 22 23 24 25 9. 363422 . 363954 . 364485 . 365016 . 365546 8.87 8.85 8.85 8.83 Q QO 9. 988103 . 988073 . 988043 . 988013 . 987983 .50 .50 .50 .50 9. 375319 . 375881 . 376442 377003 . 377563 9.37 9.35 9.35 9.33 9QO 10. 624681 .624119 . 623558 . 622997 .622437 39 38 37 36 35 26 27 28 29 30 . 366075 .366604 . 367131 . 367659 .368185 o. cV 8.82 8.78 8.80 8.77 8.77 . 987953 . 987922 . 987892 . 987862 . 987832 .52 .50 .50 .50 .52 . 378122 . 378681 . 379239 . 379797 .380354 . 62 9.32 9.30 9.30 9.28 9.27 . 621878 . 621319 . 620761 . 620203 . 619646 34 33 32 31 30 31 32 33 9.368711 . 369236 . 369761 8.75 8.75 87O 9. 987801 . 987771 . 987740 .50 .52 CA 9. 380910 .381466 . 382020 9.27 9.23 10. 619090 . 618534 . 617980 29 28 27 34 35 36 37 38 . 370285 . 370808 . 371330 . 371852 . 372373 . / i 8.72 8.70 8.70 8.68 8AQ . 987710 . 987679 .987649 . 987618 . 987588 -ill .52 .50 .52 .50 . 382575 . 383129 .383682 . 384234 . 384786 9. 25 9.23 9.22 9.20 9.20 . 617425 . 616871 . 616318 . 615766 . 615214 26 25 24 23 22 39 .372894 . DO . 987557 .52 . 385337 9. 18 . 614663 21 40 . 373414 8. 67 8.65 . 987526 . 52 .50 .385888 9. 18 9.17 .614112 20 41 42 9. 373933 . 374452 8.65 o ^Q 9. 987496 . 987465 .52 9. 386438 . 386987 9.15 91 K 10. 613562 . 613013 19 18 43 44 . 374970 . 375487 O. UO 8.62 O f\f\ . 987434 . 987403 '.52 .387536 . 388084 . lo 9.13 . 612464 .611916 17 16 45 46 47 .376003 . 376519 . 377035 O. \)\J 8.60 8.60 o C7 . 987372 . 987341 . 987310 '.52 .52 co .388631 . 389178 . 389724 9! 12 9.10 . 611369 . 610822 . 610276 15 14 13 48 49 . 377549 . 378063 O. O/ 8.57 o c7 . 987279 . 987248 >- .52 .390270 . 390815 9. 10 9.08 &f\Q . 609730 . 609185 12 11 50 . 378577 o. o/ 8.53 . 987217 '.52 . 391360 . Uo 9.05 . 608640 10 51 52 53 54 9.379089 .379601 .380113 . 380624 8.53 8.53 8.52 8CA 9. 987186 . 987155 . 987124 . 987092 .52 .52 .53 CO 9. 391903 . 392447 . 392989 . 393531 9.07 9.03 9.03 9 no 10. 60S097 . 607553 . 607011 . 606469 9 8 7 6 55 .381134 . oU O AO . 987061 . 394073 . Ud . 605927 5 56 . 381643 o. 48 8AQ . 987030 CO . 394614 9. 02 9AA . 605386 4 57 58 . 382152 . 382661 * 4o 8.48 . 986998 . 986967 . GO .52 . 395154 . 395694 . UU 9.00 Q QQ . 604846 . 604306 3 2 59 . 383168 8 AX. . 986936 **** . 396233 o. yo 8O7 . 603767 1 60 9. 383675 . 4o 9. 986904 9. 396771 . y/ 10. 603229 r Cosine. D. I". Sine, D. 1". Cotang. D. 1". Tang. ' 103 c 76 C 140 14 TANGENTS, AND COTANGENTS. 165 C ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 1 2 3 9. 383675 . 384182 . 384687 .385192 8.45 8.42 8.42 9. 986904 . 986873 . 986841 . 986809 .52 .53 .53 CO 9.396771 . 397309 .397846 .398383 8.97 8.95 8.95 10. 603229 .602691 .602154 . 601617 60 59 58 57 4 5 . 385697 . 386201 8. 40 O OO . 986778 . 986746 ' > _ .53 CO . 398919 . 399455 a 93 . 601081 . 600545 56 55 6 7 8 9 . 386704 . 387207 . 387709 . 388210 o. oo 8.38 8.37 8.35 ft *JK . 986714 . 986683 .986651 . 986619 Oo .52 .53 .53 CO .399990 .400524 . 401058 . 401591 &90 8.90 8.88 O QO .600010 .599476 .598942 .598409 54 53 52 51 10 . 388711 O. OO 8.33 . 986587 Do .53 . 402124 O. OO 8.87 .597876 50 11 12 13 14 15 16 17 18 19 20 9.389211 . 389711 . 390210 . 390708 . 391206 . 391703 . 392199 . 392695 . 393191 .393685 8.33 8.32 8.30 8.30 8.28 8.27 8.27 8.27 8.23 8.23 9. 986555 . 986523 . 986491 . 986459 . 986427 . 986395 . 986363 . 986331 . 986299 . 986266 .53 .53 .53 .53 .53 .53 .53 .53 .55 .53 9. 402656 . 403187 . 403718 . 404249 . 404778 . 405308 .405836 .406364 .406892 . 407419 8.85 8.85 8.85 8.82 8.83 8.80 8.80 8.80 8.78 8.77 10.597344 .596813 . 596282 . 595751 . 595222 .594692 .594164 .593636 .593108 .592581 49 48 47 46 45 44 43 42 41 40 21 22 23 24 25 26 27 28 29 9. 394179 . 394673 . 395166 . 395658 . 396150 . 396641 . 397132 . 397621 . 398111 8.23 8.22 8.20 8.20 8.18 8.18 8.15 8.17 1 C 9. 986234 . 986202 . 986169 . 986137 . 986104 . 986072 . 986039 . 986007 . 985974 .53 .55 .53 .55 .53 .55 .53 .55 CO 9. 407945 . 408471 . 408996 . 409521 . 410045 . 410569 . 411092 . 411615 . 412137 8.77 8.75 8.75 8.73 8.73 8.72 8.72 8.70 8fyQ 10.592055 .591529' .591004 .590479 .589955 . 589431 .588908 .588385 .587863 39 38 37 36 35 34 33 32 31 30 . 398600 o. 1O 8.13 .985942 Oo .55 . 412658 . OO 8.68 .587342 30 31 32 33 34 35 36 37 38 39 40 9.399088 . 399575 .400062 . 400549 . 401035 . 401520 . 402005 . 402489 . 402972 . 403455 8.12 8.12 8.12 8.10 8.08 8.08 8.07 8.05 8.05 8.05 9.985909 . 985876 . 985843 . 985811 . 985778 . 985745 . 985712 . 985679 . 985646 . 985613 .55 .55 .53 .55 .55 .55 .55 .55 .55 .55 9. 413179 . 413699 . 414219 . 414738 . 415257 . 415775 . 416293 . 416810 . 417326 . 417842 8.67 8.67 8.65 8.65 8.63 8.63 8.62 8.60 8.60 8.60 10.586821 .586301 .585781 . 585262 . 584743 .584225 . 583707 .583190 .582674 . 582158 29 28 27 26 25 24 23 22 21 20 41 42 43 44 45 9. 403938 . 404420 . 404901 . 405382 . 405862 8.03 8.02 8.02 8.00 9. 985580 . 985547 .985514 . 985480 . 985447 .55 .55 .57 .55 re .9. 418358 . 418873 -.419387 . 419901 . 420415 8.58 8.57 8.57 8.57 10. 581642 .581127 .580613 .580099 .579585 19 18 17 16 15 46 47 48 49 50 .406341 . 406820 . 407299 . 407777 . 408254 7^98 7.98 7.97 7.95 7.95 . 985414 . 985381 . 985347 . 985314 . 985280 .00 .55 .57 .55 .57 .55 . 420927 . 421440 . 421952 .422463 . 422974 8. 55 8.55 8.53 8.52 8.52 8.50 .579073 .578560 .578048 .577537 .577026 14 13 12 11 10 51 9. 408731 7 93 9. 985247 9. 423484 Q AQ 10. 576516 9 52 . 409207 . 985213 57 . 423993 a. 48 .576007 8 53 54 55 56 57 . 409682 . 410157 . 410632 .411106 . 411579 7^92 7.92 7.90 7.88 700 . 985180 . 985146 . 985113 . 985079 . 985045 .55 .57 .55 .57 .57 . 424503 . 425011 . 425519 .426027 . 426534 8. 50 8.47 8.47 8.47 8.45 .575497 .574989 .574481 . 573973 . 573466 7 6 5 4 3 58 59 60 . 412052 . 412524 9. 412996 OO 7.87 7.87 . 985011 . 984978 9. 984944 '.55 .57 . 427041 . 427547 9.428052 8. 45 8.43 8.42 . 572959 . 572453 10. 571948 2 1 ' Cosine. D. 1". Sine. D. 1". Co tang. D. 1". Tang. ' 104 75 141 15 C TABLE 9. LOGARITHMIC SINES, COSINES, 164: e ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 1 2 3 4 5 6 7 8 9 10 9. 412996 . 413467 . 413938 . 414408 . 414878 . 415347 . 415815 . 416283 . 416751 . 417217 . 417684 7.85 7.85 7.83 7.83 7.82 7.80 7.80 7 80 7.77 7.78 7.77 9. 984944 . 984910 . 984876 . 984842 . 984808 984774 . 984740 . 984706 . 984672 . 984638 .984603 .57 .57 .57 .57 .67 .67 .67 .57 .57 .58 .57 9. 428052 . 428558 .429062 . 429566 . 430070 . 430573 . 431075 . 431577 . 432079 . 432580 . 433080 8.43 8.40 8.40 8.40 8.38 8.37 837 8.37 8.35 8.33 8.33 10. 571948 . 571442 . 570938 . 570434 569930 .569427 . 568925 . 568423 .567921 . 567420 .566920 60 59 58 57 56 55 54 53 52 51 50 11 12 13 14 9. 418150 . 418615 . 419079 . 419544 7.75 7.73 7.75 77O 9. 984569 . 984535 . 984500 . 984466 .67 .58 K7 9. 433580 .434080 . 434579 . 435078 8.33 8.32 8.32 o on 10. 566420 . 565920 .565421 .564922 49 48 47 46 15 16 17 18 19 20 .420007 420470 . 420933 . 421395 .421857 . 422318 . tZ 7.72 7.72 7.70 7.70 7.68 7.67 . 984432 . 984397 . 984363 . 984328 . 984294 .984259 ) i .68 .57 .58 .57 .58 .58 43,5576 . 436073 . 436570 . 437067 . 437563 . 438059 o. OU 8.28 8.28 8.28 8.27 8.27 8.25 . 564424 . 563927 .563430 . 562933 .562437 . 561941 45 44 43 42 41 40 21 22 23 9. 422778 . 423238 . 423697 7.67 7.65 .984224 . 984190 . 984155 .57 .58 CO 9. 438.554 . 439048 . 439543 8.23 8.25 O OO 10. 561446 .560952 . /i60457 39 38 37 24 25 26 27 . 424156 . 424615 . 425073 .425530 7. 65 7.65 7.63 7.62 . 984120 .984085 .984050 . 984015 . 58 .58 .58 .58 . 440036 . 440529 . 441022 . 441514 o. Z2 8.22 8.22 8.20 Son . 559964 .559471 .558978 . 558486 36 35 34 33 28 29 .425987 . 426443 7. 62 7.60 7nf\ . 983981 . 983946 '.58 pro .442006 . 442497 . Z\) 8.18 ft 1 C .557994 .557503 32 31 30 .426899 . oU 7.58 . 983911 Oo .60 .442988 o. lo 8.18 . 557012 30 31 32 9. 427354 . 427809 7.58 9. 983875 . 983840 .58 to 9. 443479 .443968 8.15 81 7 10.556521 .556032 29 28 33 34 35 36 . 428263 . 428717 . 429170 . 429623 7. 57 7.57 7.55 7.55 7 CO . 983805 . 983770 . 983735 .983700 . OO .58 .58 .58 fin . 444458 . 444947 . 445435 . 445923 1 / 8.15 8.13 8.13 010 .555542 .555053 . 554565 . 554077 27 26 25 24 37 38 .430075 . 430527 . Oo 7.53 7 ^2 . 983664 . 983629 . ou .58 CO .446411 . 446898 o. lo 8.12 8 10 . 553589 .553102 23 22 39 40 . 430978 .431429 7. 52 7.50 . 983594 .983558 * Oo .60 .58 . 447384 . 447870 a 10 8.10 .552616 .552130 21 20 41 42 43 9. 431879 . 432329 . 432778 7.50 7.48 9. 983523 . 983487 . 983452 .60 .58 9. 448356 . 448841 . 449326 8.08 8.08 8fY7 10 551644 .551159 . 550674 19 18 17 44 45 . 433226 .433675 7. 47 7.48 . 983416 .983381 ".58 AA . 449810 . 45094 U/ 8.07 c n^. . 550190 . 549706 16 15 46 47 . 434122 . 434569 7. 45 7.45 .983345 .983309 . uU .60 . 450777 .451260 o. UO 8.05 f\C . 549223 . 548740 14 13 48 49 50 . 435016 . 435462 . 435908 7. 45 7.43 7.43 7.42 . 983273 . 983238 .983202 !ss .60 .60 .451743 .452225 . 452706 o. UO 8.03 8.02 8.02 . 548257 . 547775 . 547294 12 11 10 51 52 53 9. 436353 . 436798 .437242 7.42 7.40 7Af\ 9. 983166 . 983130 .983094 .60 .60 fin 9. 453187 . 453668 . 454148 8.02 8.00 8. 00 10. 546813 . 546332 .545852 9 8 7 54 . 437686 . 4U 700 .983058 . ou . 454628 700 . 545372 6 55 . 438129 . OO .983022 AH . 455107 . oo 7 oo .544893 5 56 . 438572 7. 38 7*57 . 982986 . OU fin .455586 /. yo 7 97 .544414 4 57 58 59 60 .439014 . 439456 . 439897 9. 440338 Oi 7.37 7.35 7.35 . 982950 .982914 . 982878 9. 982842 * ou .60 .60 .60 . 456064 .456542 . 457019 9.457496 7. 97 7.95 7.95 . 543936 . 543458 .542981 10. 542404 3 2 1 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 103 e 142 16 TANGENTS, AND COTANGENTS. 163 ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 1 2 3 9. 440338 . 440778 . 441218 . 441658 7.33 7.33 7.33 7 on 9. 982842 . 982805 . 982769 . 982733 .62 .60 .60 AO 9. 457496 . 457973 . 458449 .458925 7.95 7.93 7.93 7 02 10. 542504 .542027 . 541551 . 541075 60 59 58 57 4 5 .442096 . 442535 . oU 7.32 7 on . 982696 . 982660 D J .60 . 459400 . 459875 7! 92 .540600 . 540125 56 55 6 7 8 . 442973 . 443410 . 443847 oU 7.28 7.28 7OQ . 982624 . 982587 . 982551 '.62 .60 .460349 . 460823 . 461297 7^90 7.90 7CQ .539651 .539177 .538703 54 53 52 9 . 444284 . Jo 797 . 982514 * 62 . 461770 . oO 707 . 538230 51 10 . 444720 . - i 7.25 . 9S2477 !60 . 462242 . O* 7.88 .537758 50 11 12 13 9. 445155 . 445590 . 446025 7.25 7.25 700 9. 982441 . 982404 . 982307 .62 .62 AA 9. 462715 . 463186 .463658 7.85 7.87 700 10. 537285 . 536814 .536342 49 48 47 14 15 16 . 446459 . 446893 . 447326 .Jo 7.23 7.22 7OO . 982331 . 982294 . 982257 DU .62 .62 . 464128 . 464599 .465069 . 80 7.85 7.83 . 535872 . 535401 . 534931 46 45 44 17 . 447759 . 11 . 982220 . 62 .465539 7. 83 .534461 43 18 . 448191 7 on . 982183 . 62 .466008 7. 82 .533992 42 19 . 448623 . JU 7-10 . 982146 . 62 ?O .466477 7. 82 7OA .533523 41 20 . 449054 lo 7.18 . 982109 . ' ).. .62 . 466945 . oU 7.80 .533055 40 21 22 9. 449485 . 449915 7.17 717 9. 982072 . 982035 .62 9. 467413 . 467880 7.78 77C 10. 532587 . 532120 39 38 23 24 .450345 . 450775 ll 7.17 71 PI . 981998 . 981961 '.62 AO .468347 . 468814 to 7.78 777 . 531653 .531186 37 36 25 26 . 451204 . 451632 lo 7.13 7-10 . 981924 . 981880 D J .63 AO . 469280 . 409746 . / i 7.77 77C . 530720 . 530254 35 34 27 28 29 30 . 4520GO . 452488 . 452915 .453342 . lo 7.13 7.12 7.12 7.10 . 981849 . 981812 . 981774 . 981737 * D J .62 .63 .62 .62 .470211 . 470676 . 471141 . 471005 . /O 7.75 7.75 7.73 7.73 . 529789 . 529324 .528859 .528395 33 32 31 30 31 32 33 9. 453768 454194 454619 7.10 7.08 9. 981700 . 981662 . 981625 .63 .62 9. 472069 . 472532 . 472995 7.72 7.72 77n 10. 527931 . 527408 .527005 29 28 27 34 35 36 37 38 39 40 . 455044 . 455469 . 455893 .456316 . 456739 . 457162 . 457584 7. 08 7.07 7.05 7.05 7.05 7.03 7.03 . 981587 . 981549 . 981512 . 981474 . 981436 . 981399 . 981361 Do .63 .62 .63 .63 .62 .63 .63 . 473457 . 473919 . 474381 . 474842 . 475303 . 475703 . 476223 . rU 7.70 7.70 7.68 7.68 7.67 7.67 7.67 . 526543 . 526081 . 525619 .525158 . 524697 . 524237 . 523777 26 25 24 23 22 21 20 41 42 43 9. 458006 . 458427 .458848 7.02 7.02 7nn 9. 981323 .981285 . 981247 .63 .63 AQ 9. 476683 . 477142 . 477601 7.65 7.65 7AQ 10. 523317 . 522858 . 522399 19 18 17 44 45 46 47 .459268 .459688 . 460108 .460527 UU 7.00 7.00 6 98 c oo . 981209 . 981171 . 981133 .981095 . Do .63 .63 .63 . 478059 . 478517 . 478975 . 479432 . Do 7.63 7.63 7.62 . 521941 .521483 . 521025 . 520568 16 15 14 13 48 49 50 . 460946 . 461364 . 461782 o. yjs 6.97 6.97 6.95 . 981057 . 981019 .980981 . 63 .63 .63 .65 . 479889 . 480345 .480801 7. 62 7.60 7.60 7.60 .520111 . 519655 . 519199 12 11 10 51 52 53 9. 462199 . 462616 .463032 6.95 6.93 R QO 9. 980942 . 980904 .980866 .63 .63 9. 481257 . 481712 . 482167 7.58 7.58 10. 518743 . 518288 . 517833 9 8 7 54 55 56 67 .463448 .463864 .464279 .464694 D. yo 6.93 6.92 6.92 .980827 .980789 . 980750 . 980712 !63 .65 63 . 482621 . 4&3075 . 483529 . 483982 7. 57 7.57 7.57 7.55 . 517379 . 516925 .516471 .516018 6 5 4 3 58 59 .463108 .465522 &90 ft CC . 980673 . 980635 . 65 .63 AK . 484435 .484887 7. 55 7.53 7 "*> . 515565 .515113 2 1 60 9. 465935 D. oo 9. 980596 . Do 9. 485339 oo 10. 514601 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. A 10U 73' 143 17' TABLE 9. LOGARITHMIC SINES, COSINES, 162 ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 9. 465935 9. 980596 9. 485339 10. 514661 60 1 . 466348 6. 88 . 980558 . 63 . 485791 7. 53 . 514209 59 2 3 . 466761 . 467173 6. 88 6.87 A ft7 . 980519 .980480 . 65 65 . 486242 . 486693 7.52 7.52 7rn .513758 . 513307 58 57 4 5 6 7 8 9 . 467585 . 467996 . 468407 .468817 . 469227 . 469637 D. 01 6.85 6.85 6.83 6.83 6.83 A QO . 980442 . 980403 . 980364 . 980325 . 980286 . 980247 !es .65 .65 .65 .65 . 487143 . 487593 . 488043 . 488492 . 488941 . 489390 . OU 7.50 7.50 7.48 7.48 7.48 7X7 . 512857 . 512407 .511957 . 511508 .511059 . 510610 56 55 54 53 52 51 10 . 470046 D. oZ 6.82 . 980208 !65 . 489838 . 4* 7.47 . 510162 50 11 9. 470455 A cn 9. 980169 AK 9. 490286 7. 45 10.509714 49 12 . 470863 D. oU A Qrt . 980130 . DO AK . 490733 . 509267 48 13 . 471271 O. oU .980091 . DO AK . 491180 7. 45 . 508820 47 14 15 16 17 . 471679 . 472086 . 472492 . 472898 6. 80 6.78 6.77 6.77 077 .980052 . 980012 . 979973 . 979934 . 66 .67 .65 .65 . 491627 . 492073 . 492519 .492965 7. 45 7.43 7.43 7.43 7 42 . 508373 . 507927 . 507481 . 507035 46 45 44 43 18 19 20 . 473304 . 473710 . 474115 . / / 6.77 6.75 6.73 . 979895 . 979855 . 979816 !67 .65 .67 . 493410 . 493854 . 494299 7. 40 7.42 7.40 .506590 .506146 . 505701 42 41 40 21 9. 474519 9. 979776 AK 9. 494743 10. 505257 39 22 23 24 25 26 27 28 . 474923 . 475327 . 475730 . 476133 . 476536 . 476938 . 477340 6. 73 6.73 6.72 6.72 6.72 6.70 6.70 A ro . 979737 . 979697 .979658 . 979618 . 979579 . 979539 . 979499 . 65 .67 .65 .67 .65 .67 .67 A7 . 495186 .495630 .496073 .496515 496957 . 497399 . 497841 7. 38 7.40 7.38 7.37 7.37 7.37 7.37 7 OF .504814 . 504370 . 503927 . 503485 . 503043 . 502601 . 502159 38 37 36 35 34 33 32 29 . 477741 o. oo 6 Aft . 979459 . D/ ftR . 498282 . OO 700 .501718 31 30 . 478142 Do 6.67 . 979420 . DO .67 . 498722 . OO 7.35 . 501278 30 31 32 33 34 35 36 37 38 9. 478542 . 478942 . 479342 . 479741 . 480140 . 480539 . 480937 . 481334 6.67 6.67 6.65 6.65 6.65 6.63 6 62 A AO 9. 979380 . 979340 . 979300 . 979260 . 979220 . 979180 . 979140 . 979100 .67 .67 .67 .67 .67 .67 .67 AQ 9. 499163 .499603 .500042 .500481 .500920 . 501359 .501797 .502235 7.33 7.32 7.32 7.32 7.32 7.30 7.30 10. 500837 . 500397 . 499958 . 499519 . 499080 . 498641 . 498203 . 497765 29 28 27 26 25 24 23 22 39 40 . 481731 . 482128 O. vZ 6.62 6.62 . 979059 . 979019 Oo .67 .67 . 502672 .503109 7.28 7.28 . 497328 . 496891 21 20 41 42 43 44 9. 482525 . 482921 .483316 . 483712 6.60 6.58 6.60 A Q 9. 978979 . 978939 . 978898 .978858 .67 .68 .67 AQ 9. 503546 . 503982 . 504418 .504854 7.27 7.27 7.27 7OC 10. 496454 . 496018 . 495582 . 495146 19 18 17 16 45 46 47 48 49 50 . 484107 . 484501 . 484895 . 485289 .485682 .486075 D. OO 6.57 6.57 6.57 6 55 6.55 G.53 . 978817 . 978777 . 978737 . 978696 . 978655 . 978615 . Do .67 .67 .68 .68 .67 .68 . 505289 . 505724 . 506159 .506593 . 507027 . 507460 . _ > 7.25 7.25 7.23 7.23 7.23 7.22 .494711 . 494276 . 493841 . 493407 . 492973 .492540 15 14 13 12 11 10 51 52 53 9. 486467 .486860 . 487251 6.55 6.52 A } 9. 978574 - 978533 . 978493 .68 .67 CQ 9.507893 .508326 . 508759 7.22 7.22 7 on 10. 492107 . 491674 . 491241 9 8 7 54 55 56 . 487643 . 488034 .488424 O. OO 6.52 6.50 . 978452 .978411 . 978370 . OO .68 .68 AO .509191 .509622 .510054 . ZO 7.18 7.20 71 Q . 490809 . 490378 . 489946 6 5 4 57 58 .488814 . 489204 6. 50 6.50 A AQ . 978329 . 978288 . DO .68 AQ . 510485 .510916 . lo 7.18 71 7 . 489515 . 489084 3 2 59 60 . 489593 9. 489982 o. 4o 6.48 . 978247 9. 978206 . DO .68 .511346 9. 511776 . 1 1 7.17 .488654 10. 488224 1 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 107 c 144 IS c TANGENTS, AND COTANGENTS. 161 s ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 1 9. 489982 . 490371 6.48 i\ 47 9. 978208 . 978165 .68 Aft 9. 511776 . 512206 7.17 71 K 10. 488224 . 487794 60 59 2 3 . 490759 . 491147 0. 4/ 6.47 fi 47 . 978124 . 978083 * Oo .68 Aft 512635 . 513064 . 10 7.15 71 . 4873G5 . 486936 58 57 4 5 6 . 491535 . 491922 . 492308 U. TI 6.45 6.43 6Afl . 978042 . 978001 . 977959 . Do .68 .70 Aft . 513493 . 513921 .514349 10 7.13 7.13 71 Q . 486507 . 486079 . 485651 56 55 54 7 . 492695 . 4o 6,40 . 977918 Oo ftO . 514777 lo 71O .485223 53 8 9 . 493081 . 493466 . 4o 6.42 A AO . 977877 . 977835 . DO .70 AQ . 515204 .515631 . L& 7.12 7-1 rv . 484796 . 484369 52 51 10 . 493851 0. 4-& 6.42 . 977794 . DO .70 .516057 . 10 7.12 .483943 50 11 12 9. 494236 . 494021 6.42 fi Af\ 9. 977752 . 977711 .68 >jf\ 9. 516484 . 516910 7.10 7 no 10. 483516 . 483090 49 48 13 . 495005 0. 4U fi QQ . 977669 . iO Aft .517335 . Uo 71 ft . 482665 47 14 . 495388 0. oo A Af\ . 977628 DO 7ft . 517761 . 1U 7ftQ . 482239 46 15 . 495772 0. 4U 607 977586 . tO 7ft .518186 Oo 7(Y7 . . 481814 45 16 . 49G154 . 01 6QQ . 977544 /U ftO .518610 \)t 7ft7 . 481390 44 17 18 . 496537 . 496919 . oo 6.37 fi Q7 . 977503 . 977461 oo .70 7ft .519034 . 519458 . U/ 7.07 7ft7 . 480966 . 480542 43 42 19 20 . 497301 . 497682 U. Of 6.35 6.35 . 977419 . 977377 / U .70 .70 . 519882 .520305 . U* 7.05 7.05 .480118 . 479695 41 40 21 22 23 24 25 26 27 28 29 30 9. 498064 . 498444 . 498825 . 499204 . 499584 . 499963 . 500342 . 500721 . 501099 . 501476 6.33 6.35 6.32 6.33 6.32 6.32 6.32 6.30 6.28 6.30 9. 977335 . 977293 . 977251 . 977209 . 977167 . 977125 . 977083 . 977041 . 976999 . 976957 .70 .70 .70 .70 .70 .70 .70 .70 .70 .72 9. 520728 .521151 . 521573 . 521995 .522417 .522838 . 523259 .523680 . 524100 . 524520 7.05 7.03 7.03 7 03 7.02 7.02 7.02 7.00 7.00 7.00 10 479272 . 478849 . 478427 . 478005 . 477583 . 477162 . 476741 . 476320 . 475900 . 475480 39 38 37 36 35 34 33 32 31 30 31 9. 501854 A oo 9. 976914 7ft 9. 524940 A QQ 10. 475060 29 32 .502231 D. ^o 697 . 976872 . tO 7ft .525359 o. y& A QQ . 474641 28 33 . 502607 1 600 . 976830 . lU 7O . 525778 0. y$ A QQ . 474222 27 34 35 . 502984 . 503360 . Zo 6.27 6 or . 976787 . 976745 . t .70 70 . 526197 . 526615 D. yo 6.97 A Q7 . 473803 . 473385 26 25 36 37 38 . 503735 .504110 . 504485 . _ 6.25 6.25 6 or. . 976702 . 976660 . 976617 i ~ .70 .72 7O . 527033 . 527451 . 527868 o. y/ 6.97 6.95 A QP; . 472967 . 472549 . 472132 24 23 22 39 40 . 504860 . 505234 . _ ) 6.23 6 23 . 976.574 . 976532 . ' J .70 .72 . 528285 .528702 o. yo 6.95 6.95 . 471715 . 471298 21 20 41 42 43 44 45 46 47 9. 505608 .505981 .506354 . 506727 .507099 . 507471 .507843 6.22 6.22 6.22 6.20 6.20 6 20 fi 1Q 9. 976489 . 976446 . 976404 . 976361 . 976318 . 976275 . 976232 .72 .70 .72 .72 .72 .72 79 9.529119 .529535 . 529951 . 530366 .530781 . 53119G 531611 6.93 6.93 6.92 6.92 6 92 6.92 6 on 10. 470881 . 470465 . 470049 . 469634 . 469219 .468804 .468389 19 18 17 16 15 14 13 48 49 50 . 508214 .508585 . 508956 O. io 6.18 6.18 6.17 . 976189 . 976146 . 976103 /w .72 .72 .72 . 532025 . 532439 . 532853 yu 6.90 6.90 6.88 - 467975 . 467561 . 467147 12 11 10 51 9. 509326 A 1 7 9. 976060 7O 9. 533266 /* QQ 10. 466734 9 52 . 509696 O. Li A i c; . 976017 . VA 70 .533679 D. 00 600 . 466321 8 53 54 .510065 . 510434 D. io 6.15 . 975974 . 975930 . i Z .73 7O . 534092 . 534504 . oo 6.87 . 465908 . 465496 7 6 55 . 510803 6. 15 ft 1 c . 975887 . 12, 7O . 534916 6. 87 607 . 465084 5 56 .511172 D. lO 61 Q . 975844 f - 71 . 535328 . o* . 464672 4 57 . 511540 . lo 611 . 975800 . to . 535739 6. 85 . 464261 3 58 59 .511907 . 512275 . 12 6.13 610 . 975757 .975714 . 72 .72 70 . 536150 .536561 6. 85 6.85 6 or; . 463850 . 463439 2 1 60 9. 512642 . i - 9. 975670 . /o 9. 536972 . oo 10. 463028 ' Cosine. D. 1". Sine. D.I" Cotang. D. 1". Tang. ' 108 C 71' 4147910 10 145 19 TABLE 9. LOGARITHMIC SINES, COSINES, ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 9. 512642 A 19 9. 975670 79 9. 536972 A CQ 10. 463028 60 1 2 3 4 5 6 . 513009 . 513375 . 513741 . 514-107 . 514472 . 514837 D. 1 - 6.10 6.10 6.10 6.08 6.08 A no . 975627 .975583 . 975539 . 975496 . 975452 . 975408 [73 .73 .72 .73 .73 . 537382 . 537792 . 538202 .538611 .539020 . 539429 O. Oo 6.83 6.83 6.82 6.82 6.82 6on . 462618 . 46220S . 461798 . 461389 . 460980 . 460571 59 58 57 56 55 54 7 8 9 . 515202 . 515566 . 515930 0. Uo 6.07 6.07 A H7 . 975365 . 975321 . 975277 '.73 .73 70 . 539837 . 540245 .540653 oU 6.80 6.80 A cn . 4601 G3 . 459755 . 459347 53 52 51 10 . 516294 U. U/ 6.05 .975233 . to .73 .541061 O. oU 6.78 . 458939 50 11 12 13 14 15 16 17 9. 516657 . 517020 . 517382 . 517745 . 518107 . 518468 . 518829 6.05 6.03 6.05 6.03 6.02 6.02 A no 9. 975189 . 975145 . 975101 . 975057 . 975013 . 974969 . 974925 .73 .73 .73 .73 .73 .73 7fr 9. 541468 . 541875 .542281 . 542088 .543094 . 543499\ . 543905\ 6.78 6.77 6.78 6.77 6.75 6.77 10. 458532 . 458125 . 457719 . 457312 . 456906 . 456501 . 456095 49 48 47 46 45 44 43 18 19 . 519190 . 519551 o. UJ 6.02 A fin . 974880 . 974836 . to .73 70 .544310 . 544715 v 6. 75 \ 6.75 . 455690 . 455285 42 41 20 . 519911 u. UU 6.00 . 974792 . to .73 .545119 !S . 454881 40 21 22 9. 520271 . 520631 6.00 5QC 9. 974748 . 974703 .75 70 9. 545524 . 545928 6.73 ff 7Q 10. 454476 . 454072 39 38 23 .520990 . yo . 974659 . 16 .546331 O. (2 . 4536G9 37 24 . 521349 5. 98 5Q7 . 974614 . 75 70 . 546735 6. 73 A 79 . 453265 36 25 . 521707 . y/ 5QO . 974570 . id <7f. . 547138 O. t Z . 452862 35 26 . 522066 . *7O 5Q7 . 974525 . /O .547540 6. 70 A 79 . 452460 34 27 28 29 . 522424 .522781 . 523138 . y/ 5.95 5.95 5QC . 974481 . 974436 . 974391 !75 .75 70 . 547943 . 548345 . 548747 0. t 6.70 6.70 . 452057 . 451655 . 451253 33 32 31 30 . 523495 . yo 5.95 . 974347 . to .75 . 549149 a as .450851 30 31 32 9. 523852 . 524208 5.93 9. 974302 . 974257 .75 9.549550 . 549951 6.68 10. 450450 . 450049 29 28 33 34 35 36 37 .524564 . 524920 . 525275 .525630 . 525984 5. 93 5.93 5.92 5.92 5.90 . 974212 . 974167 . 974122 . 974077 . 974032 . 75 .75 .75 .75 .75 .550352 .550752 .551153 .551552 . 551952 6. 68 6.67 6.68 6.65 6.67 6ACC . 449648 . 449248 . 448847 . 448448 . 448048 27 26 25 24 23 38 39 .526339 . 526693 5.' 90 . 973987 . 973942 75 .75 7C .552351 . 552750 UO 6.65 6CC . 447649 . 447250 22 21 40 . 527046 5^90 . 973897 . to .75 . 553149 . UO 6.65 .446851 20 41 9. 527400 9. 973852 7C 9. 553548 A TQ 10. 446452 19 42 . 527753 5. 88 507 . 973807 . to 77 . 553946 D. UO A AQ .446054 18 43 . 528105 . ot 500 . 973761 it 7C . 554344 0. UO .445656 17 44 45 46 47 48 49 50 . 528458 .528810 . 529161 . 529513 . 529864 .530215 .530565 . oo 5.87 5.85 5.87 5.85 5.85 5.83 5.83 . 973716 . 973671 . 973625 . 973580 . 973535 . 973489 . 973444 . to .75 .77 .75 .75 .77 .75 .77 . 554741 .555139 .555536 .555933 .556329 . 556725 . 557121 6^63 6.62 6.62 6.60 6.60 6.60 6.60 . 445259 . 444861 . 444464 . 444067 . 443671 . 443275 . 442879 16 15 14 13 12 11 10 51 52 53 54 9. 530915 . 531265 .531614 .531963 5.83 5.82 5.82 5Q9 9. 973398 . 973352 . 973307 . 973261 .77 .75 .77 77 9. 557517 . 557913 . 558308 . 558703 6.60 6.58 6.58 A K7 10. 442483 . 442087 . 441692 . 441297 9 8 7 6 55 56 . 532312 . 532661 XM 5.82 Sen . 973215 . 973169 ii .77 .559097 . 559491 U. O/ 6.57 A 7 . 440903 .440509 5 4 57 58 59 . 533009 . 533357 . 533704 . oU 5.80 5.78 5 on . 973124 . 973078 . 973032 '.77 .77 77 . 559885 . 560279 . 560673 D. Ot 6.57 6.57 A .440115 . 439721 . 439327 3 2 1 60 9. 534052 . oU 9. 972986 . / / 9. 561066 O. OO 10. 438934 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 109 c 7O 146 TANGENTS, AND COTANGENTS. 159 ( ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 1 2 9. 534052 . 534399 . 534745 5.78 5.77 57Q 9. 972986 . 972940 . 972894 .77 .77 77 9. 561066 . 501459 . 561851 6.55 6.53 A KC 10. 438934 . 438541 . 438149 GO 59 58 3 . 535092 . IO . 972848 77 . 562244 O. OO * CO . 437756 57 4 . 535438 5. 77 . 972802 ,11 7O . 56263G D. Oo 6 CO . 4373G4 56 5 . 5.'35783 5. 75 . 972755 . IO . /7 .563028 . OO . 436972 55 6 . 536129 5. 77 . 972709 77 . 503419 6 pro . 436581 54 7 . 536474 5. 75 579. . 972G63 . / / 77 .563811 . Oo a co . 436189 53 8 . 536818 . /o .972617 . / / 7Q . 564202 O. O-6 . 435798 52 9 . 537103 5. 75 5 MO . 972570 . IO 77 . 5G4593 C\ ^0 . 435407 51 10 .537507 . i 5.73 . 972524 . 564983 O. OU 6.50 . 435017 50 11 9. 537851 57O 9. 972478 78 9. 5G5373 6 ^n 10. 434G27 49 12 . 538194 . tZ . 972431 . IO 77 . 5G57G3 D. OU . 434237 48 13 . 538538 5. 73 f 7Q . 972385 / / 7ft . 566153 648. . 433847 47 14 15 .538880 . 539223 5^72 . 972338 . 972291 . lo .78 77 .566542 . 566932 . T1O '6.50 , . 433458 . 4330G8 46 45 10 17 18 . 539565 . 539907 . 540249 5. 70 5.70 5.68 . 972245 . 972198 . 972151 .11 .78 .78 . 567320 . 567709 .568098 6. 47 6.48 6.48 A 47 . 432680 . 432291 . 431902 44 43 42 19 20 . 540590 . 540931 5! 68 5.68 . 972105 . 972058 i78 .78 . 568486 .508873 O. 3i 6.45 6.47 .431514 . 431127 41 40 21 9.541272 5/10 9. 972011 9. 569261 6,|C 10. 430739 39 22 23 24 25 . 541613 . 541953 . 542293 . 542G32 . Go 5.67 5.67 5.65 . 9719G4 . 971917 . 971870 . 971823 .78 .78 .78 .509(148 . 570035 . 570422 . 570809 . 4o 6.45 6.45 6.45 . 430352 . 429965 . 429578 . 429191 38 37 36 35 26 27 28 29 30 . 542971 . 543310 . 543G49 . 543987 . 544325 5. 65 5.65 5.65 5.63 5.63 5.63 . 971776 . 971729 . 971GS2 . 971635 . 971588 .78 .78 .78 .78 .78 .80 .571195 . 571581 . 571967 . 572352 . 572738 6. 43 6.43 6.43 6.42 6.43 6.42 . 428805 . 428419 . 428033 . 427648 . 427262 34 33 32 31 30 31 32 33 34 35 36 37 38 39 40 9. 544663 . 545000 . 545338 . 545674 . 546011 . 546347 . 546683 . 547019 .547354 . 547689 5.62 5.63 5.60 5.62 5.60 5.60 5.60 5.58 5.58 5.58 9. 971540 . 971493 . 971446 . 971398 . 971351 . 971303 . 971256 . 971208 .971161 .971113 .78 .78 .80 .78 .80 .78 .80 .78 .80 .78 9.573123 . 573507 . 573892 . 574276 . 574660 .575044 . 575427 . 575810 . 576193 . .576576 6.40 6.42 6.40 6.40 6.40 6.3S 6.38 6.38 6.38 6.38 10. 426877 . 426493 . 426108 . 425724 . 425340 . 424956 . 424573 . 424190 . 423807 .423424 29 28 27 26 25 24 23 22 21 20 41 42 43 44 45 40 47 9. 548024 . 548359 . 548693 . 549027 . 549360 . 549693 .550026 5.58 5.57 5.57 5.55 5.55 5.55 9. 971066 . 971018 . 970970 . 970922 . 970874 . 970827 . 970779 .80 .80 .80 .80 .78 .80 Of\ 9.576959 . 577341 .577723 . 578104 . 578486 . 578867 . 579248 6.37 6.37 6.35 6.37 6.35 6.35 A 9.rc 10. 423041 .422659 . 422277 . 421896 .421514 . 421133 . 420752 19 18 17 16 15 14 13 48 . 550359 5. 55 5r r . 970731 . o(J .579629 O. OO f\ /i . 420371 12 49 50 . 550G92 . 551024 . Oo 5.53 5.53 .970683 . 970635 '.80 .82 .580009 . 580389 O. oo 6.33 6.33 . 419991 .419611 11 10 51 52 53 54 9. 551356 .551687 . 552018 .552349 5.52 5.52 5.52 9. 970586 . 970538 . 970490 . 970442 .80 .80 .80 on 9. 5807G9 .581149 . 581528 . 581907 6.33 6.32 6.32 /? OO 10. 419231 .418851 . 418472 . 418093 9 8 7 6 55 56 57 58 59 . 552680 . 553010 . 553341 . 553670 . 554000 5. 52 5.50 5.52 5.48 5.50 . 970394 . 970345 . 970297 . 970249 . 970200 . 8U .82 .80 .80 .82 . 582286 . 582665 . 583044 .583422 .583800 O. OA 6.32 6.32 6.30 6.30 A Oft . 417714 . 417335 . 416956 . 416578 . 416200 5 4 3 2 1 GO 9. 554329 5. 48 9. 970152 .80 9. 584177 O. Zo 10. 415823 r Cosine. D 1". Sine. D. I". Cotang. D. I". Tang. ' 110 69 147 21' TABLE 9. LOGARITHMIC SINES, COSINES, 158< ' Sine. D. I". Cosine. D. 1". Tang. D. 1". Cotang. ' 1 9.554329 . 554658 5.48 9. 970152 . 970103 .82 9.584177 . 584555 6.30 10. 415823 . 415445 60 59 2 3 . 554987 . 555315 5. 48 5.47 .970055 . 970006 . 80 .82 .584932 . 585309 6.28 6.28 A OW . 415008 . 414691 58 57 4 5 6 . 555643 .555971 . 556299 5^47 5.47 5AR . 969957 . 969909 . 969860 !so .82 . 585686 . 586062 .586439 D. Zo 6.27 6.28 A O7 .414314 . 413938 . 413561 56 55 54 7 8 9 10 . 556626 . 556953 . 557280 . 557606 , 4o 5 45 5.45 5.43 5.43 . 969811 . 969762 . 969714 . 969665 '.82 .80 .82 .82 . 586815 . 587190 . 587566 .587941 O. Zt 6.25 6. 27 6.25 6.25 . 413185 . 412810 . 412434 . 412059 53 52 51 50 11 12 13 9. 557932 . 558258 .558583 5.43 5.42 C A'l 9. 969616 . 969567 . 969518 .82 .82 9. 588316 . 588691 . 589066 6.25 6.25 60O 10.411684 . 411309 . 410934 49 48 47 14 15 16 . 558909 . 559234 . 559558 O. 4o 5.42 5.40 . 969469 . 969420 . 969370 !82 .83 OO . 589440 . 589814 . 590188 . Zo 6.23 6.23 . 410560 . 410186 . 409812 46 45 44 17 18 19 20 . 559883 .560207 . 560531 .560855 5! 40 5.40 5.40 5.38 . 969321 . 969272 . 969223 . 969173 . ' N .- .82 .82 .83 .82 . 590562 .590935 . 591308 . 591681 6! 22 6.22 6.22 6.22 . 409438 . 409065 . 408692 . 408319 43 42 41 40 21 22 23 24 25 26 9.561178 . 561501 .561824 .562146 . 562468 . 562790 5.38 6.38 5.37 5.37 5.37 c 07 9. 969124 . 969075 . 969025 . 968976 . 968926 .968877 .82 .83 .82 .83 .82 00 9. 592054 . 592426 . 592799 . 593171 . 593542 .593914 6.20 6.22 6.20 6.18 6.20 61 ft 10. 407946 . 407574 . 407201 . 406829 . 40045s . 406086 39 38 37 36 35 34 27 28 29 30 .563112 . 563433 . 563755 .564075 0. ot 5.35 5.37 5.33 5.35 .968827 . 968777 . 968728 . 968678 . OO .83 .82 .83 .83 . 594285 . 594656 .595027 . 595398 . lo 6.18 6.18 6.18 6.17 . 405715 . 405344 . 404973 . 404602 33 32 31 30 31 32 33 34 35 36 37 38 9. 564396 . 564716 . 565036 .565356 . 565676 .565995 .566314 . 566632 5.33 5.33 5.33 5.33 5.32 5.32 5.30 50O 9. 968628 .968578 .968528 . 968479 .968429 .968379 .968329 . 968278 .83 .83 .82 .83 .83 .83 .85 OO 9. 595768 . 596138 .596508 .596878 . 597247 . 597616 . 597985 . 598354 6.17 6.17 6.17 6.15 6.15 6.15 6.15 61 Q 10. 404232 . 403862 . 403492 . 403122 . 402753 . 402384 . 402015 . 401646 29 28 27 26 25 24 23 22 39 40 . 566951 . 567269 * ' - 5.30 5.30 . 968228 . 968178 . OO .83 .83 . 598722 .599091 . lo 6.15 6.13 . 40127S . 400909 21 20 41 42 43 44 9. 567587 . 567904 . 568222 .568539 5.28 5.30 5.28 5OQ 9. 968128 . 968078 . 968027 . 967977 .83 .85 .83 OO 9. 599459 . 599827 . 600194 . 600562 6.13 6.12 6.13 61 O 10. 400541 . 400173 . 399806 . 399438 19 18 17 16 45 46 47 .568856 . 569172 .569488 . Jo 5.27 5.27 5O7 . 967927 . 967876 . 967826 . oo .85 .83 Qf .600929 . 601296 . 601663 . \.Z 6.12 6.12 61 f\ . 399071 . 398704 . 398337 15 14 13 48 49 50 . 569804 . 570120 . 570435 . 2,1 5.27 5.25 5.27 . 967775 . 967725 . 967674 . OO .83 .85 .83 .602029 . 602395 .602761 . 1U 6.10 6.10 6.10 . 397971 . 397605 . 397239 12 11 10 51 52 9. 570751 .571066 5.25 5OQ 9. 967624 . 967573 .85 QC 9. 603127 . 603493 6.10 A nc 10. 396873 . 396507 9 8 53 54 . 571380 . 571695 . Jo 5.25 . 967522 . 967471 . OO .85 OO .603858 .604223 o. Uo 6.08 A nc .396142 . 395777 7 6 55 .572009 5OQ . 967421 . OO CK . 604588 D. Uo A nc . 395412 5 56 57 58 59 60 . 572323 . 572636 . 572950 . 573203 9. 573575 . Jo 5.22 5.23 5.22 5.20 . 967370 .967319 . 967268 .967217 9. 967166 . OO .85 .85 .85 .85 . 604953 . 605317 .605682 . 606046 9. 606410 O. Uo 6.07 6.08 6.07 6.07 . 395047 . 394683 .394318 . 393954 10. 393590 4 3 2 1 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 111 68' 148 22' TANGENTS, AND COTANGENTS. 157 e ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Co tang. ' 1 9.573575 . 573888 5.22 9. 967166 .967115 .85 9. 606410 .606773 6.05 6(VJ 10 393590 . 393227 60 59 2 3 4 5 6 7 8 9 10 . 574200 . 574512 . 574824 . 575136 . 575447 . 575758 . 5760G9 . 576379 . 576689 5. 20 5.20 5.20 5.20 5.18 5.18 5.18 5.17 5.17 5.17 . 967064 . 967013 . 966961 . 966910 . 966859 . 966808 . 966756 . 966705 . 966653 . 85 .85 .87 .85 .85 .85 .87 .85 .87 .85 . 607137 .607500 . 607863 . 608225 . 608588 . 608950 . 609312 . 609674 . 610036 . u/ 6.05 6.05 6.03 6.05 6.03 6.03 6.03 6.03 6.02 . 392863 . 392500 . 392137 . 391775 . 391412 .391050 . 390688 . 390326 . 389964 58 57 56 55 54 53 52 51 50 11 12 13 14 15 16 17 18 19 20 9. 576999 . 577309 . 577618 . 577927 . 578236 . 578545 .578853 . 579162 . 579470 . 579777 5.17 5.15 5.15 5.15 5.15 5.13 5.15 5.13 5.12 5.13 9. 966602 . 966550 . 966499 . 966447 . 966395 . 966344 . 966292 . 966240 . 966188 . 966136 .87 .85 .87 .87 .85 .87 .87 .87 .87 .85 9. 610397 . 610759 .611120 . 611480 . 611841 . 612201 . 612561 . 612921 . 613281 . 613641 6.03 6.02 6.00 6.02 6.00 6.00 6.00 6.00 6.00 5.98 10. 389603 . 389241 . 388880 .388520 . 388159 . 387799 . 387439 .387079 . 386719 .386359 49 48 47 46 45 44 43 42 41 40 21 9. 580085 5 1O 9. 966085 Q7 9.614000 5QO 10. 386000 39 22 23 . 580392 . 580699 . \.& 5.12 51 n . 966033 . 965981 O/ .87 C7 . 614359 . 614718 . yo 5.98 5QQ . 385641 . 385282 38 37 24 25 26 27 28 .581005 .581312 . 581618 . 581924 . 582229 . 1U 5.12 5.10 5.10 5.08 51 n . 965929 . 965876 . 965824 . 965772 . 965720 . o/ .88 .87 .87 .87 O7 . 615077 . 615435 . 615793 . 616151 . 616509 . yo 5.97 5.97 5.97 5.97 5O7 . 384923 . 384565 . 384207 . 383849 . 383491 36 35 34 33 32 29 . 582535 . J.U 5nc . 965668 Of OQ . 616867 . y/ 5 or .383133 31 30 . 582840 . Uo 5.08 . 965615 . 00 .87 . 617224 . yo 5.97 . 382776 30 31 32 9. 583145 . 583449 5.07 9. 965563 . 965511 .87 9. 617582 . 617939 5.95 5 no 10. 382418 . 3820(51 29 28 33 . 583754 5. 08 5/Y7 . 965458 . 88 Q7 . 618295 . yo 5QC . 381705 27 34 .584058 . U/ . 965406 . Oi CO . 618652 . yo 5QO .381348 26 35 36 37 . 584361 . 584665 . 584968 5. 05 5.07 5.05 5A7 .965353 . 965301 . 965248 . 88 .87 .88 go .619008 . 619364 . 619720 . yo 5.93 5.93 5 no . 380992 . 380636 . 380280 25 24 23 38 . 585272 . U/ . 965195 . OO . 620076 . yo . 379924 22 39 . 585574 5.03 5fkC . 965143 .87 OO . 620432 5. 93 509 . 379568 21 40 . 585877 . Uo 5.03 .965090 . OO .88 . 620787 . yz 5.92 . 379213 20 41 9.586179 9. 965037 QQ 9.621142 5(V> 10. 378858 19 42 . 586482 5. 05 5 no . 964984 . 00 on . 621497 . VrJ 5QO . 378503 18 43 44 . 586783 . 587085 . \} 5.03 5 no . 964931 . 964879 . OO .87 CO . 621852 . 622207 . y^ 5.92 Son . 378148 . 377793 17 16 45 . 587386 . \j K HO. . 964826 . OO 00 . 622561 . yu 5 on . 377439 15 46 .587688 o. Uo . 964773 . 00 . 622915 . yu . 377085 14 47 .587989 5. 02 5ni\ . 964720 . 88 on . 623269 5. 90 5 on . 376731 13 48 . 588289 . UU . 964666 . yu CO . 623623 . yu .376377 12 49 .588590 5. 02 . 964613 . oo . 623976 5. 88 .376024 11 50 .588890 5. 00 5.00 . 964560 . 88 .88 . 624330 5. 90 5.88 . 375670 10 51 9. 589190 4 no 9. 964507 9. 624683 10. 375317 9 52 . 589489 . 98 . 964454 . 88 . 625036 5. 88 . 374964 8 53 54 . 589789 .590088 5. 00 4.98 4QQ . 964400 . 964347 . 90 .88 go . 625388 . 625741 5. 87 5.88 5Q7 .374612 . 374259 7 6 55 .590387 . yo 4QO . 964294 . oo on . 626093 . Of 507 . 373907 5 56 . 590686 . "o 4 Q7 . 964240 . yu 00 . 626445 . o/ c 07 . 373555 4 57 . 590984 *. y/ . 964187 . oo . 626797 O. 01 . 373203 3 58 .591282 4. 97 . 964133 . 90 . 627149 5. 87 .372851 2 59 60 . 591580 9. 591878 4. 97 4.97 . 964080 9. 964026 .88 .90 . 627501 9. 627852 5. 87 5.85 . 372499 10. 372148 1 ' Cosine. D. 1". Sine. D. 1". Co tang. D. 1". Tang. ' 112 67' 149 23 < TABLE 9. LOGARITHMIC SINES, COSINES, 156 ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 9.591878 4Q7 9. 964026 f\f\ 9. 627852 5 QC 10.372148 60 1 .592176 . y/ 4 nr . 963972 . yu go . 628203 . OO c or . 371797 59 2 3 4 . 592473 . 592770 . 593067 . yo 4.95 4.95 4QO . 963919 . 863865 .963811 . OO .90 .90 on . 628554 o. oo 5.85 5.83 5 Or .371446 . 371095 . 370745 58 57 56 5 .593363 . y<5 . 963757 . yu ! 629606 . oO . 370394 55 6 7 .593659 .593955 4. 93 4.93 4QO . 963704 .963650 .88 .90 on . 629956 .630306 5. 83 5.83 500 . 370044 . 369694 54 53 8 9 10 . 594251 . 594547 . 594842 . yo 4.93 4.92 4.92 .963596 .963542 .963488 yu .90 .90 .90 .630656 . 631005 .631355 . OO 5.82 5.83 5.82 . 369344 . 368995 . 368645 52 51 50 11 12 13 14 15 16 17 9.595137 . 595432 .595727 .596021 . 596315 . 596609 . 596903 4.92 4.92 4.90 4.90 4.90 4.90 4 OD 9. 963434 . 963379 . 963325 . 963271 .963217 .963163 . 963108 .92 .90 .90 .90 .90 .92 on 9. 631704 . (>32053 . 632402 . 632750 .633099 . 633447 .633795 5.82 5.82 5.80 5.82 5.80 5.80 r on 10. 3682% . 367947 . 367598 . 367250 . 366901 . 366553 . 366205 49 48 47 46 45 44 43 18 19 .597196 .597490 . OO 4.90 4GQ .963054 . 962999 . yu .92 on . 634143 . 634490 O. oU 5.78 C Oft .365857 . 365510 42 41 20 . 597783 . OO 4.87 . 962945 . yu .92 .634838 O. OU 5.78 . 365162 40 21 22 23 24 25 26 27 28 29 30 9. 598075 .598368 . 598660 .598952 .599244 . 599536 . 599827 .600118 .600409 .600700 4.88 4.87 4.87 4.87 4.87 4.85 4.85 4.85 4.85 4.83 9. 962890 . 962836 . 962781 . 962727 . 962672 . 962617 . 962562 . 962508 . 962453 . 962398 .90 .92 .90 .92 .92 .92 .90 .92 .92 .92 9. 635185 .635532 .635879 .636226 . 636572 .636919 .637265 .637611 . 637956 .638302 5.78 5.78 5.78 5.77 5.78 5.77 5.77 5.75 5.77 5.75 10. 364815 . 364468 . 364121 . 363774 . 363428 . 363081 . 362735 . 362389 . 362044 . 361698 39 38 37 36 35 34 33 32 31 30 31 9.600990 A QQ 9. 962343 OO 9.638647 5ije 10. 361353 29 32 33 34 35 . 601280 . 601570 . 601860 .602150 4. oo 4.83 4.83 4.83 A CO . 962288 . 962233 . 962178 . 962123 . 92 .92 .92 .92 OQ .638992 .639337 .639682 .640027 . iO 5.75 5.75 5.75 c 70 . 361008 . 360663 .360318 . 359973 28 27 26 25 36 . 602439 4. o/ 4 CO . 962067 . ' - > OO .640371 O. /O r 7K . 359629 24 37 38 39 40 .602728 . 603017 . 603305 .603594 . o2 4.82 4.80 4.82 4.80 . 962012 . 961957 . 961902 . 961846 . v2 .92 .92 .93 .92 . 640716 . 641060 . 641404 . 641747 O. /O 5.73 5.73 5.72 5.73 . 359284 . 358940 . 358596 . 358253 23 22 21 20 41 42 43 9. 603882 . 604170 . 604457 4.80 4.78 4 on 9. 961791 . 961735 . 961680 .93 .92 QO 9.642091 . 642434 . 642777 5.72 5.72 r 70 10. 357909 . 357566 . 357223 19 18 17 44 45 46 47 48 . 604745 .605032 . 605319 . 605606 .605892 . oU 4.78 4.78 4.78 4.77 . 961624 . 961569 . 961513 . 96145S . 961402 . y*5 .92 .93 .92 .93 . 643120 . 643463 . 643806 . 644148 . 644490 O. iZ 5.72 5.72 5.70 5.70 r 7A .356880 .356537 .356194 . 355852 .355510 16 15 14 13 12 49 50 .606179 .606465 4. 78 4.77 4.77 . 961346 . 961290 . 93 .93 .92 . 644832 . 645174 O. i(j 5.70 5.70 .355168 . 354826 11 10 51 9. 606751 47.rr 9. 961235 no 9. 645516 5 AC 10. 354484 9 52 . 607036 . /O 477 . 961179 . "o OQ . 645857 . Uo r nr\ .354143 8 53 . 607322 1 / .961123 . yo . 646199 O. *U S/'O . 353S01 7 54 .607607 4. 75 47K . 961067 . 93 OQ . 646540 . OO 5t\Q .353460 6 55 . 607892 . Id 47FC .961011 . '} o*> .646881 . Oo r Q .353119 5 56 57 58 .608177 . 608461 . 608745 . /O 4.73 4.73 . 960955 . 960899 . 960843 . yo .93 .93 . 647222 . 647562 . 647903 O. Oo 5.67 5.68 5/;7 . 352778 . 352438 ' . 352097 4 3 2 59 . 609029 4. 73 . 960786 . 95 . 648243 . ol 5/*7 . 351757 1 60 9. 609313 4. 73 9. 960730 . 93 9. 648583 . O/ 10.351417 ( Cosine. D. 1". Sine. D. 1". Cotang D. I". Tang. ' 113 66 150 TANGENTS AND COTANGENTS. 155 ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 9. 609313 479 9. 960730 " 9. 648583 10. 351417 60 1 . 609597 . /O 47O . 960674 Q9 . 648923 5. 67 5f>7 . 351077 59 2 3 .609880 . 610164 . < 1- 4.73 47O . 960618 . 960561 !95 . 649263 .649602 . u/ 5.65 5A7 . 350737 . 350398 58 57 4 . 610447 . i . 960505 * . 649942 . O* .350058 56 5 . 610729 4. /O 4 79 . 960448 ' Q^ .650281 5. 65 .349719 55 6 .611012 3. i 47rt . 960392 . yo QC . 650620 5 or . 349380 54 7 .611294 . t(J A 7n . 960335 . yo . (550959 . OO . 349041 53 8 .611576 4. /(J . 960279 f\K . 651297 5. 63 5cr . 348703 52 9 10 .611858 . 612140 4^70 4.68 . 960222 .960165 . yo .95 .93 .651636 . 651974 . OO 5.63 5.63 . 348364 . 348026 51 50 11 12 13 14 9. 612421 . 612702 . 612983 . 613264 4.68 4.68 4.68 9. 960109 . 960052 . 959995 . 959938 .95 .95 .95 9. 652312 .652650 . 652988 . 653326 5.63 5.63 5.63 10. 347688 . 347350 .347012 . 346674 49 48 47 46 15 16 . 613545 . 613825 4. 68 4.67 4 (\7 . 959882 . 959825 . 93 .95 QC . 6536(53 .654000 5. 62 5.62 5AO . 346337 . 346000 45 44 17 18 19 20 . 614105 .614385 . 614665 .614944 3. O/ 4.67 4.67 4.65 4.65 . 959768 .959711 . 959654 . 959596 * yo .95 .95 .97 .95 . 654337 . (554674 .655011 . 655348 . oJ 5.62 5.62 5.62 5.60 . 345663 . 345326 . 344989 . 344652 43 42 41 40 21 22 9. 615223 . 615502 4.65 9. 959539 . 959482 .95 9. 655684 .656020 5.60 10. 344316 . 343980 39 38 23 24 25 26 27 28 29 30 . 615781 . 6160(50 . 616338 . 61661(5 .616894 .617172 . 617450 . 617727 4.65 4.63 4.63 4.63 4.63 4.63 4.62 4.62 . 959425 . 959368 . 959310 . 959253 . 959195 . 959138 .959080 .959023 !95 .97 .95 .97 .95 .97 .95 .97 .656356 .656692 . 657028 . 657364 .657699 . 658034 . 658369 . 658704 5. 60 5.60 5.60 5.60 5.58 5.58 5.58 5.58 5.58 . 343644 . 343308 . 342972 . 342636 . 342301 . 341966 .341631 . 341296 37 36 35 34 33 32 31 30 31 32 9. 618004 . 618281 4.62 9. 958965 . 958908 .95 Q7 9. 659039 . 659373 5.57 5 CO 10.340961 . 340627 29 28 33 . 618558 A f*fi .958850 . y/ (17 . 659708 . on . 340292 27 34 . 618834 4. l)U 4m . 958792 . y/ . 660042 5. 57 . 339958 26 35 36 37 .619110 . 619386 . 619662 . oU 4,60 4.60 . 958734 . 958677 . 958619 97 .95 .97 . 660376 . 660710 . 661043 5. 57 5.57 5.55 . 339624 . 339290 . 338957 25 24 23 38 . 619938 4. 60 4 CO . 958561 . 97 (17 . 661377 5.57 . 338623 22 39 40 . 620213 . 620488 . OS 4.58 4.58 . 958.503 . 958445 . y/ .97 .97 . 661710 . 662043 5. 55 5.55 5.55 . 338290 . 337957 21 20 41 42 43 44 45 9. 620763 . 621038 . 621313 . 621587 . 621861 4.58 4.58 4.57 4.57 4r7 9. 958387 . 958329 . 958271 . 958213 . 958154 .97 .97 .97 .98 r\7 9. 662376 . 662709 . 663042 . 663375 . 663707 5.55 5.55 5.55 5.53 SCO 10. 337624 . 337291 . 336958 . 336625 . 336293 19 18 17 16 15 46 . 622135 . O/ 4K7 . 958096 . y* . 664039 . 56 5 CO . 335961 14 47 . 622409 . O/ 4 PC . 958038 . 97 . 664371 . 53 . 335629 13 48 49 50 . 622682 . 622956 . 623229 . OO 4.57 4.55 4.55 . 957979 . 957921 . 957863 !97 .97 .98 . 664703 . 665035 . 665366 5. 53 5.53 5.52 5.53 . 335297 . 334965 . 334634 12 11 10 51 9. 623502 4 pro 9. 957804 9. 665698 K CO 10. 334302 9 52 . 623774 :. OO 4 err . 957746 ^ ' . 666029 O. O4 . 333971 8 53 54 . 624047 .624319 . OO 4. 53 . 957687 . 957628 !98 . 666360 . 666691 5. 52 5.52 . 333640 . 333309 7 6 55 . 624591 4. 53 A .9 . 957570 . 97 . 667021 5.50 . 332979 5 56 57 . 624863 . 625135 4. Oo 4.53 .957511 . 957452 !98 . 667352 . 667682 5. 52 5.50 . 332648 . 332318 4 3 58 59 60 . 625406 . 625677 9. 625948 4. 52 4. 52 4.52 . 957393 . 957335 9. 957276 .98 .97 .98 . 668013 .668343 9. 668673 5.52 5.50 5.50 . 331987 .331657 10. 331327 2 1 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 114' 65' 151 TABLE 9. LOGARITHMIC SINES, COSINES, 154' ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 9. 625948 A SCO 9. 957276 O.Q 9. 668673 5AQ 10. 331327 60 1 . 626219 4. o . 957217 . yo no .669002 . 4o . 330998 59 2 . 626490 *. . 52 , CA . 957158 . yo (JO . 6(39332 5. 50 5AQ .330668 58 3 . 626760 . OU rn . 957099 . yo no . 669661 . 4o . 330339 57 4 . 627030 . oU . 957040 . yo . 669991 5. 50 .330009 56 5 . 627300 ^ . 50 A f^(\ . 956981 . 98 IAA . 670320 5. 48 5AQ . 329(580 55 6 . 627570 . t)U 4 e/\ . 956921 . uu no . 670649 . 4o E A*! . 329351 54 7 . 627840 . oO A AQ . 9568(52 . yo QC . 670977 o. 4/ e AQ .329023 53 8 . 628109 4. 4o 4AQ .956803 . yo no . 671306 O. 4o c AQ . 328694 52 9 10 . 628378 . 628647 . 4o 4.48 4.48 . 956744 . 956684 . yo 1.00 .98 . 671635 .671963 O. 4o 5.47 5.47 . 328-365 . 328037 51 50 11 12 13 9. 628916 . 629185 . 629453 4.48 4.47 4 AT 9. 956625 .956566 . 956.506 .98 1.00 QQ 9. 672291 . 672619 . 672947 5.47 5.47 AF 10. 327709 . 327381 . 327053 49 48 47 14 15 1C 17 18 19 . 629721 . 629989 . 630257 .630524 . 630792 .631059 . *t 4.47 4.47 4.45 4.47 4.45 . 956447 . 956387 . 956327 . 956268 . 956208 .956148 . yo 1.00 1.00 .98 1.00 1.00 no . 673274 .673602 . 673929 . 674257 . 674584 .674911 o. 45 5.47 5.45 5.47 5.45 5.45 5 JO . 326726 . 326398 . 326071 . 325743 . 325416 . 325089 46 45 44 43 42 41 20 . 631326 4. 45 4.45 . 956089 . o 1.00 . 675237 . 4o 5.45 . 324763 40 21 22 23 24 25 26 27 28 9. 631593 .631859 . 632125 . 632392 .632658 .632923 . 633189 . 633454 4.43 4.43 4.45 4.43 4.42 4.43 4.42 4AO 9. 956029 . 955969 . 9r>.->909 . 955849 . 955789 . 955729 . 955669 .955609 1.00 1.00 1.00 1.00 1.00 1.00 1.00 QO 9. 675564 . 675890 . 676217 . 676543 . 676869 . 677194 . 677520 . 677846 5.43 5.45 5.43 5.43 5.42 5.43 5.43 K AO 10. 324436 .324110 . 323783 . 323457 . 323131 . 322806 . 322480 . 322154 39 38 37 36 35 34 33 32 29 30 .633719 .633984 . 4*5 4.42 4,42 . 955548 . 955488 . yo 1.00 1.00 . 678171 . 678496 o. 4J 5.42 5.42 . 321829 . 321504 31 30 31 32 33 34 35 9. 634249 . 634514 . 634778 .635042 .635306 4.42 4.40 4.40 4.40 9. 955428 . 955368 . 955307 . 955247 . 955186 1.00 1.02 1.00 1.02 9. 678821 . 679146 . 679471 . 679795 .680120 5.42 5.42 5.40 5.42 10. 321179 . 320854 . 320529 . 320205 . 319880 29 28 27 26 25 36 . 635570 4. 40 4A(\ . 955126 1. 00 Ino . 680444 5. 40 C Af\ . 319556 24 37 .635834 . 10 . 955065 . Uz .680768 O. 4U 5A(\ . 319232 23 38 .636097 4. 38 40O . 955005 1. 00 1/V) .681092 . 40 K Af\ . 318908 22 39 40 .636360 .636623 . oo 4.38 4.38 . 954944 .954883 . uz 1.02 1.00 .b81416 . 681740 O. 4U 5.40 5.38 . 318584 . 318260 21 20 41 42 9. 636886 . 637148 4.37 9. 954823 . 954762 1.02 9.682063 . 682387 5.40 5QQ 10. 317937 . 317613 19 18 43 .637411 4. 38 497 . 954701 1. 02 1/V) . 682710 . OO 5OQ . 317290 17 44 . 637673 . O/ 40*7 . 954640 . 0*2 InO .683033 . OO 5OQ . 316967 16 45 46 . 637935 . 638197 . o7 4.37 . 954579 . 954518 . U J 1.02 .683356 .683679 . OO 5.38 . 316644 . 316321 15 14 47 . 638458 4.35 . 954457 1. 02 AO .684001 5. 37 500 . 315999 13 48 .638720 4. 37 4 or . 954396 . (j2 no . 684324 . OO K or . 315676 12 49 . 638981 . OO 4 OK . 954335 . \j no . 684646 O. O/ 507 . 315354 11 50 . 639242 . oo 4.35 .954274 . U 2t .02 .684968 . o/ 5.37 . 315032 10 51 52 9. 639503 . 639764 4.35 400 9. 954213 . 954152 .02 rvo 9.685290 .685612 5.37 5Q7 10. 314710 .314388 9 8 53 54 . 640024 . 640284 . OO 4.33 400 . 954090 . 954029 . Uo .02 no .685934 . 686255 . o/ 5.35 5O7 . 314066 .313745 7 6 55 56 57 . 640544 . 640804 * 641064 . OO 4.33 4.33 400 . 953968 . 953906 . 953845 . uli .03 .02 flQ .686577 .686898 . 687219 . Ol 5.35 5.35 e oc . 313423 .313102 . 312781 5 4 3 58 . 641324 . OO . 953783 . Uo . 687540 O. OO 50C . 312460 2 59 60 ,641583 9. 641842 4. 32 4.32 . 953722 9. 953660 . 02 1.03 . 687861 9.688182 . oo 5.35 .312139 10. 311818 1 ' Cosine. D. 1". Sine. D. 1". Co tang. D. 1". Tang. ' 115' 64 152 TANGENTS, AND COTANGENTS. 153 C ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 9. 641842 . 642101 4.32 409 9. 953660 . 953599 1.02 1AO 9. 688182 .688502 5.33 5Q9 10. 311818 .311498 60 59 2 3 . 642360 . 642618 . OZ .30 y 00 . 953537 . 953475 . Uo 1.03 Ino . 688823 . 689143 . &Z 5.33 50O .311177 . 310857 58 57 4 5 .642877 .643135 * . oZ .30 , on . 953413 . 953352 . Uo 1.02 Ino . 689463 . 689783 . OO 5.33 5OO . 310537 .310217 56 55 6 7 . 643393 . 643650 L . . oU .28 i on . 953290 . 953228 . Uo 1.03 Ino . 690103 . 690423 . OO 5.33 500 . 309897 . 309577 54 53 8 . 643908 L . . oU 00 . 953166 . Uo Ino . 690742 . ')- 500 . 309258 52 9 10 . 644165 . 644423 . ZQ .30 .28 .953104 . 953042 . Uj 1.03 1.03 . 691062 . 691381 . OO 5.32 5.32 . 308938 . 308619 51 50 11 9. 644680 97 9. 952980 InO 9. 691700 50O 10. 308300 49 12 . 644936 . Z { , OQ .952918 . Uo Ine . 692019 . oZ 5OO .307981 48 13 14 15 .645193 . 645450 . 645706 * . Zo 4.28 4.27 . 952855 .952793 . 952731 . Uo 1.03 1.03 . 692338 . 692656 . 692975 . >)Z 5.30 5.32 . 307662 . 307344 . 307025 47 46 45 16 17 . 645962 . 646218 4. 27 4.27 497 .952669 . 952606 1. 03 1.05 InQ . 693293 . 693612 5. 30 5.32 5 on . 306707 . 306388 44 43 18 19 . 646474 . 646729 . - / 4.25 . 952544 . 952481 . Uo 1.05 . 693930 . 694248 . oU 5.30 . 306070 . 305752 42 41 20 . 646984 4. 25 4.27 . 952419 1. 03 1.05 . 694566 5. 30 5.28 . 305434 40 21 22 23 9. 647240 . 647494 . 647749 4.23 4.25 4 or i 9. 952356 . 952294 .952231 .03 .05 ne 9. 694883 . 695201 . 695518 5.30 5.28 Son 10.305117 . 304799 . 304482 39 38 37 24 . 648004 4. wO 4OQ . 952168 . UO AQ . 695836 . oU 50Q . 304164 36 25 26 27 28 . 648258 . 648512 . 648766 . 649020 . - > 4.23 4.23 4.23 49Q . 952106 . 952043 . 951980 .951917 . Uo .05 1.05 1.05 InC . 696153 . 696470 . 696787 . 697103 . ZQ 5.28 5.28 5.27 500 . 303847 . 303530 .303213 . 302897 35 34 33 32 29 30 . 649274 . 649527 . Zo 4.22 4.23 . 951854 . 951791 . Uo 1.05 1.05 . 697420 . 697736 . Zo 5.27 5.28 .302580 . 302264 31 30 31 32 33 9. 649781 .650034 . 650287 4.22 4.22 4Orv 9. 951728 .951665 . 951602 1.05 1.05 1AC 9. 698053 . 698369 . 698685 5.27 5.27 507 10. 301947 . 301631 .301315 29 28 27 34 35 . 650539 . 650792 . Z(J 4.22 4 on . 951539 . 951476 . Uo 1.05 1AT . 699001 . 699316 . - I 5.25 5O7 .300999 . 300684 26 25 36 37 . 651044 . 651297 . Z\j 4.22 4 90 . 951412 .951349 . Ol 1.05 Ine . 699632 . 699947 . ~ / 5.25 597 .300368 .300053 24 23 38 39 40 .651549 .651800 . 652052 4. -U 4.18 4.20 4.20 . 951286 .951222 . 951159 . Uo 1.07 1.05 1.05 . 700263 . 700578 . 700893 . - / 5.25 5.25 5.25 . 299737 . 299422 . 299107 22 21 20 41 42 43 44 9. 652304 . 652555 . 652806 . 653057 4.18 4.18 4.18 41 Q 9.951096 . 951032 . 950968 . 950905 1.07 1.07 1.05 1H7 9.701208 . 701523 . 701837 . 702152 5.25 5.23 5.25 50O 10. 298792 . 298477 .298163 . 297848 19 18 17 16 45 . 653308 . lo 41 7 . 950841 U/ Inr . 702466 . - ) 5oc . 297534 15 46 . 653558 -I* 41 7 . 950778 . Uo 1ft7 . 702781 . Zo 500 . 297219 14 47 . 653808 ;. If 41 o .950714 . Uf 1H7 . 703095 . _ 1 50Q . 296905 13 48 . 654059 . lo 417 . 950650 Of 1A7 . 703409 . ~ ) 599 .296591 12 49 . 654309 . 1 1 41 c; . 950586 . U/ 1H7 . 703722 . ZiZi 5OQ . 296278 11 50 . 654558 . i > 4.17 . 950522 U/ 1.07 . 704036 . Zo 5.23 . 295964 10 51 52 9. 654808 .655058 4.17 41 X. 9. 950458 . 950394 1.07 1A.7 9. 704350 . 704663 5.22 599 10. 295650 . 295337 9 8 53 54 . 655307 . 655556 . J.O 4.15 41 ^ . 950330 . 950266 . U/ 1.07 1/\7/ . 704976 . 705290 . zz 5.23 599 . 295024 . 294710 7 6 55 56 . 655805 . 656054 . lo 4.15 410 . 950202 . 950138 . U/ 1.07 1A7 . 705603 . 705916 . &Z 5.22 59ft . 294397 .294084 5 4 57 . 656302 :. XO . 950074 . U/ . 706228 . ZD . 293772 3 58 59 . 656551 . 656799 4. 15 4.13 41 Q . 950010 . 949945 1.07 1.08 1A7 .706541 . 706854 5. 22 5.22 Son .293459 . 293146 2 1 60 9. 657047 lo 9. 949881 . U* 9. 707166 . ZO 10. 292834 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. / 116 63 c 153 TABLE 9. LOGARITHMIC SINES, COSINES, ' Sine. D. I". Cosine. D. 1". Tang. D. 1". Cotang. ' 1 2 3 4 5 6 7 8 9 10 9. 657047 . 657295 .657542 . 657790 .658037 . 658284 .658531 . 658778 .659025 .659271 .659517 4.13 4.12 4.13 4.12 4.12 4.12 4.12, 4.12 4.10 4.10 4.10 9. 949881 . 949816 .949752 . 949688 . 949623 . 949558 . 949494 . 949429 . 949364 . 949300 .949235 1.08 1.07 1.07 1.08 1.08 1.07 1.08 " 1.08 1.07 1.08 1.08 9. 707166 . 707478 . 707790 . 708102 . 708414 . 708726 . 709037 .709349 . 709660 .709971 . 710282 5.20 5.20 5.20 5.20 5.20 5.18 5.20 5.18 5.18 5.18 5.18 10. 292834 . 292522 . 292210 . 291898 . 291586 . 291274 .290963 . 290651 . 290340 .290029 . 289718 60 59 58 57 56 55 54 53 52 51 50 11 12 13 14 15 16 17 18 19 20 9. 659763 .660009 .660255 .660501 .660746 .660991 .661236 . 661481 . 661726 . 661970 4.10 4.10 4.10 4.08 4.08 4.08 4.08 4.08 4.07 4.07 9. 949170 . 949105 . 949040 . 948975 . 948910 . 948845 . 948780 . 948715 . 948050 .948584 1.08 1.08 1.08 1.08 1.08 1.08 1.08 1.08 1.10 1.08 9. 710593 . 710904 .711215 . 711525 .711836 . 712146 . 712456 . 712766 . 713076 . 713386 5.18 5.18 5.17 5.18 5.17 5.17 5.17 5.17 5.17 5.17 10. 289407 . 289096 .288785 . 288475 . 288164 . 287854 . 287544 . 287234 . 286924 .286614 49 48 47 46 45 44 43 42 41 40 21 9. 662214 4AO 9. 948519 9. 713696 10. 286304 39 22 23 24 25 26 27 28 29 30 .662459 . 662703 . 662946 .663190 .663433 .663677 .663920 . 664163 .664406 . U8 4.07 4.05 4.07 4.05 4.07 .4.05 4.05 4.05 4.03 . 948454 .948388 . 948323 . 948257 . 948192 . 948126 . 948000 . 947995 . 947929 1.08 1.10 1.08 1.10 1.08 1.10 1.10 1.08 1.10 1.10 . 714005 . 714314 . 714624 . 714933 . 715242 . 715551 . 715860 . 716168 . 716477 5.15 5.15 5.17 5.15 5.15 5.15 5.15 5.13 5.15 5.13 . 285995 . 285686 . 285376 .285067 . 284758 . 284449 .284140 .283832 . 283523 38 37 36 35 34 33 32 31 30 31 32 33 34 35 36 37 38 39 9. 664648 .664891 .665133 . 665375 .665617 .665859 .666100 .666342 .666583 .666824 4.05 4.03 4.03 4.03 4.03 4.02 4.03 4.02 4.02 4.02 9. 947863 . 947797 . 947731 .947665 . 947600 . 947533 . 947467 . 947401 . 947335 . 947269 1.10 1.10 1.10 1.08 1.12 1.10 1.10 1.10 1.10 1.10 9. 716785 . 717093 . 717401 . 717709 . 718017 . 718325 .718633 . 718940 . 719248 .719555 5.13 5.13 5.13 5.13 5.13 5.13 5.12 5.13 5.12 5.12 10. 283215 .282907 . 282599 . 282291 .281983 . 281675 . 281367 .281060 . 280752 .280445 29 28 27 26 25 24 23 22 21 20 41 42 43 44 45 46 9.667065 . 667305 . 667546 . 667786 . 668027 . 668267 4.00 4.02 .00 .02 .00 ' QQ 9. 947203 . 947136 . 947070 . 947004 . 946937 .946871 1.12 1.10 1.10 1.12 1.10 110 9. 719862 . 720169 . 720476 . 720783 . 7210S9 . 721396 5.12 5.12 5.12 5.10 5.12 51 ft 10. 280138 . 279831 .279524 .279217 .278911 . 278604 19 18 17 16 15 14 47 48 49 50 .668506 .668746 . 668986 . 669225 . yo .00 .00 3.98 3.98 . 946804 . 946738 . 946671 .946604 . 1 - 1.10 1.12 1.12 1.10 . 721702 . 722009 . 722315 . 722621 . W 5.12 5.10 5.10 5.10 . 278298 . 277991 . 277GS5 .277379 13 12 11 10 51 9. 669464 O QO 9. 946538 11O 9. 722927 5 no 10. 277073 9 52 . 669703 3 no . 946471 . 723232 . (Jo . 276768 8 53 .669942 . yj> . 946404 1. 12 . 723538 5. 10 . 276462 7 54 . 670181 o' 07 . 946337 1. 12 11 O . 723844 5. 10 5 no . 276156 6 55 . 670419 o. y/ QQ . 946270 . u . 724149 . (JQ . 275851 5 56 57 58 59 60 . 670658 . 6708% . 671134 . 671372 9. 671609 3! 97 3.97 3.97 3.95 . 946203 . 946136 . 946069 . 94()002 9. 945935 1.12 1.12 1.12 1.12 . 724454 . 724760 .725065 . 725370 9. 725674 5. 08 5.10 5.08 5.08 5.07 .275546 . 275240 . 274935 . 274(530 10. 274326 4 3 2 1 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. i f 154 TANGENTS, AND COTANGENTS. 151' ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. '. 9. 671609 o O7 9. 945935 11 O 9. 725674 r f\o 10. 274326 60 1 . 671847 o. y/ . 945868 . U . 725979 O. Uo 5 no .274021 59 2 3 4 . 672084 . 672321 . 672558 3. 95 3.95 3.95 . 945800 .945733 . 945666 1. 13 1.12 1.12 . 726284 . 726588 . 726892 . Uo 5.07 5.07 .273716 . 273412 . 273108 58 57 56 5 6 7 8 9 10 . 672795 . 673032 . 673268 . 673505 . 673741 . 673977 3. 95 3.95 3.93 3.95 3.93 3.93 3.93 . 945598 . 945531 . 945464 . 945396 . 945328 . 945261 1. 13 1.12 1.12 1.13 1.13 1.12 1.13 . 727197 . 727501 . 727805 . 728109 . 728412 . 728716 5. 05 5.07 5.07 5.07 5.05 5.07 5.07 . 272803 .272499 . 272195 . 271891 . 271588 . 271284 55 54 53 52 51 50 11 12 13 9. 674213 . 674448 . 674684 3.92 3.93 9. 945193 . 945125 .945058 1.13 1.12 9. 729020 . 729323 . 729626 5.05 5.05 10. 270980 .270677 . 270374 49 48 47 14 15 16 17 18 19 20 . 674919 . 675155 . 675390 . 675624 . 675859 . 676094 . 676328 3. 92 3.93 3.92 3.90 3.92 3.92 3.90 3.90 . 944990 . 944922 . 944854 . 944786 . 944718 . 944650 . 944582 1. 13 1.13 1.13 1.13 1.13 1.13 1.13 1.13 . 729929 . 730233 . 730535 . 730838 .731141 . 731444 . 731746 5. 05 5.07 5.03 5.05 5.05 5.05 5.03 5.03 .270071 . 269767 . 269465 .269162 .268859 .268556 . 268254 46 45 44 43 42 41 40 21 22 23 24 25 9. 676562 . 676796 . 677030 . 677264 . 677498 3.90 3.90 3.90 3.90 9. 944514 . 944446 . 944377 . 944309 .944241 1.13 1.15 1.13 1.13 11 K 9. 732048 . 732351 . 732653 . 732955 . 733257 5.05 5.03 5.03 5.03 10.267952 . 267649 .267347 . 267045 . 266743 39 38 37 36 35 26 27 28 . 677731 . 677964 . 678197 3^88 3.88 . 944172 . 944104 . 944036 . lo 1.13 1.13 . 733558 . 733860 . 734162 5! 03 5.03 . 266442 .266140 . 265838 34 33 32 29 . 678430 3. 88 . 943967 1. 15 . 734463 5. 02 .265537 31 30 .678663 3. 88 3.87 . 943899 1. 13 1.15 . 734764 5. 02 5.03 .265236 30 31 9. 678895 9. 943830 9.735066 10.264934 29 32 33 . 679128 . 679360 3. 88 3.87 . 943761 . 943693 1. 15 1.13 . 735367 .735668 5. 02 5.02 .264633 . 264332 28 27 34 35 36 37 38 39 40 . 679592 . 679824 . 680056 .680288 . 680519 . 680750 .680982 3. 87 3.87 3.87 3.87 3.85 3.85 3.87 3.85 . 943624 . 943555 . 943486 . 943417 . 943348 . 943279 . 943210 1. 15 1.15 1.15 1.15 1.15 1.15 1.15 1.15 . 735969 . 736269 . 736570 . 736870 . 737171 . 737471 . 737771 5. 02 5.00 5.02 5.00 5.02 5.00 5.00 5.00 .264031 . 263731 .263430 . 263130 . 262829 .262529 . 262229 26 25 24 23 22 21 20 41 42 43 44 45 9. 681213 .681443 . 681674 . 681905 .682135 3.83 3.85 3.85 3.83 00 9. 943141 . 943072 .943003 . 942934 . 942864 1.15 1.15 1.15 1.17 11 K 9. 738071 . 738371 . 738671 . 738971 . 739271 5.00 5.00 5.00 5.00 10.261929 . 261629 . 261329 . 261029 .260729 19 18 17 16 15 46 47 48 49 .682365 . 682595 . 682825 . 683055 O. oO 3.83 3.83 3.83 . 942795 . 942726 . 942656 . 942587 lo 1.15 1.17 1.15 . 739570 . 739870 . 740169 . 740468 5. 00 4.98 4.98 . 260430 .260130 .259831 . 259532 14 13 12 11 50 .683284 3. 82 3.83 . 942517 1. 17 1.15 . 740767 4'. 98 .259233 10 51 9.683514 9. 942448 117 9. 741066 10. 258934 9 52 .683743 3. 82 . 942378 . ii . 741365 4. 98 . 258635 8 53 54 .683972 .684201 3. 82 3.82 . 942308 . 942239 1. 17 1.15 . 741664 . 741962 4. 98 4.97 . 258336 .258038 7 6 55 . 684430 3. 82 . 942169 1. 17 . 742261 4. 98 . 257739 5 56 57 58 59 60 .684658 .684887 . 685115 .685343 9. 685571 3. 80 3.82 3.80 3.80 3.80 .942099 . 942029 . 941959 . 941889 9. 941819 1. 17 1.17 1.17 1.17 1.17 . 742559 . 742858 . 743156 . 743454 9. 743752 4. 97 4.98 4.97 4.97 4.97 . 257441 . 257142 . 256844 . 256546 10. 256248 4 3 2 1 ' Cosine. D. I". Sine. D. 1". Cotang. D. 1". Tang. ' 118 C 61' 155 TABLE 9. LOGARITHMIC SINES, COSINES, ISO" ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Co tang. ' 1 2 3 9. 685571 . 68.5799 .686027 . 686254 3.80 3.80 3.78 Qf\ 9. 941819 . 941749 . 941679 . 941609 1.17 1.17 1.17 11 7 9. 743752 . 744050 . 744348 . 744645 4.97 4.97 4.95 10. 25G248 . 255950 . 255652 .255355 60 59 58 57 4 5 6 7 8 9 10 . 686482 . 686709 . 686936 .687163 . 687389 . 687616 . 687843 o. oU 3.78 3.78 3.78 3.77 3.78 3.78 3.77 . 941539 . 941469 . 941398 . 941328 . 941258 . 941187 .941117 . Ll 1.17 1.18 1.17 1.17 1.18 1.17 1.18 . 744943 . 745240 . 745538 . 745835 . 746132 . 746429 . 746726 4. 97 4.95 4.97 4.95 4.95 4.95 4.95 4.95 . 255057 .254^60 . 254462 . 254165 .253868 . 253571 . 253274 56 55 54 53 52 51 50 11 12 13 14 15 9. 688069 .688295 .688521 .688747 . 688972 3.77 3.77 3.77 3.75 o 77 9. 941046 . 940975 .940905 . 940834 . 940763 1.18 1.17 1.18 1.18 11 7 9. 747023 . 747319 . 747616 . 747913 . 748209 4.93 4.95 4.95 4.93 10. 252977 . 252681 . 252384 . 252087 . 251791 49 48 47 46 45 16 . 689198 o. / i 37K . 940693 . I/ 110 . 748505 4OQ .251495 44 17 18 . 689423 . 689648 . /O 3.75 . 940622 . 940551 . lo 1.18 . 748801 . 749097 . yo 4.93 .251199 . 250903 43 42 19 20 . 689873 . 690098 3. 75 3.75 3.75 . 940480 .940409 1. 18 1.18 1.18 . 749393 . 749689 4. 93 4.93 4.93 .250607 .250311 41 40 21 22 23 24 25 26 27 28 29 30 9. 690323 . 690548 . 690772 .690996 . 691220 . 691444 . 691668 . 691892 .692115 . 692339 3.75 3.73 3.73 3.73 3.73 3.73 3.73 3.72 3.73 3.72 9. 940338 . 940267 . 940196 . 940125 .940054 . 939982 . 939911 . 939840 . 939768 . 939697 1.18 1.18 1.18 1.18 1.20 1.18 1.18 1.20 1.18 1.20 9. 749985 . 750281 . 750576 . 750872 . 751167 . 751462 . 751757 . 752052 . 752347 . 752642 4.93 4.92 4.93 4.92 4.92 4.92 4.92 4.92 4.92 4.92 10. 250015 .249719 . 249424 . 249128 . 248833 . 24,8538 .248243 . 247948 . 247653 . 247358 39 38 37 36 35 34 33 32 31 30 31 32 33 34 35 36 37 38 39 40 9. 692562 .692785 . 693008 . 693231 . 693453 . 693676 . 693898 . 694120 . 694342 . 694564 3.72 3.72 3.72 3.70 3.72 3.70 3.70 3.70 3.70 3.70 9. 939625 . 939554 . 939482 . 939410 . 939339 . 939267 . 939195 . 939123 . 939052 . 938980 1.18 1.20 1.20 1.18 1.20 1.20 1.20 1.18 .20 .20 9. 752937 . 753231 . 753526 . 753820 .754115 . 754409 . 754703 . 754997 . 755291 . 755585 4.90 4.92 4.90 4.92 4.90 4.90 4.90 4.90 4.90 4.88 10. 247063 . 246769 . 246474 . 246180 .245885 . 245591 . 245297 . 245003 . 244709 . 244415 29 28 27 26 25 24 23 22 21 20 41 42 43 44 45 9. 694786 . 695007 . 695229 . 695450 . 695671 3.68 3.70 3.68 3.68 9. 938908 .938836 . 938763 . 938691 . 938619 .20 .22 .20 .20 9. 755878 . 756172 . 756465 . 756759 . 757052 4.90 4.88 4.90 4.88 10. 244122 . 243828 . 243535 . 243241 . 242948 19 18 17 16 15 46 . 695892 3.68 . 938547 .20 . 757345 4. 88 4QQ . 242655 14 47 48 49 . 696113 . 696334 . 696554 3. 68 3.68 3.67 . 938475 . 938402 . 938330 . 20 .22 .20 . 757638 . 757931 . 758224 . so 4.88 4.88 4QQ . 242362 .242069 .241776 13 12 11 50 . 696775 3. 68 3.67 . 938258 '. . 20 .22 . 758517 . SO 4.88 .241483 10 51 9. 696995 3 AT 9. 938185 on 9.758810 4O7 10.241190 9 52 . 697215 . O/ . 938113 . 2\J .759102 . o/ 4 CO . 240898 8 53 . 697435 3. 67 . 938040 . 22 . 759395 . 00 . 240605 7 54 55 56 . 697654 . 697874 . 698094 3. 65 3.67 3.67 3/>r . 937967 . 937895 . 937822 .22 .20 .22 . 759687 . 759979 . 760272 4. 87 4.87 4.88 4Q7 .240313 . 240021 .239728 6 5 4 57 58 . 698313 . 698532 . DO 3.65 . 937749 . 937676 :!22 . 760564 .760856 . 01 4.87 . 239436 .239144 3 2 59 60 . 698751 9. 698970 3. 65 3.65 . 937604 9. 937531 . 20 1.22 .761148 9. 761439 4. 87 4.85 . 238852 10. 238561 1 ' Cosine. D. 1". Sine. D. 1". Co tang. D. I". Tang. ' 119 60 156 30 TANGENTS, AND COTANGENTS. 149 ' Sine. D. 1". Cosine. I). 1". Tang. D. 1". Cotang. ' 1 2 3 4 5 9. 698970 . 699189 . 699407 . 699626 . 699844 . 700002 3.05 3.03 3.05 3.03 3.03 3AO. 9.937531 . 937458 . 937385 .937312 . 937238 .937105 1.22 1.22 1.22 1.23 1.22 199 9. 701439 .701731 . 702023 . 702314 . 702000 . 702897 4.87 4.87 4.85 4.87 4.85 4OC 10. 238561 . 238269 . 237977 . 237686 . 237394 . 237103 60 59 58 57 56 55 6 7 . 700280 . 700498 . OO 3.03 3fiQ . 937092 . 937019 . - - 1.22 199 . 703188 . 703479 . O3 4.85 4 OC .236812 . 230521 54 53 8 9 .700710 . 700933 . Do 3.02 . 930940 . 930872 . * 1.23 199 . 703770 . 704001 . oO 4.85 4OC . 230230 . 235939 52 51 10 .701151 3^62 . 930799 . - - 1.23 . 704352 :. oO 4.85 . 235648 50 11 9. 701368 3fi9 9. 930725 199 9. 704043 4OO 10. 235357 49 12 13 . 701585 . 701802 . it- 3.62 . 936652 . 936578 . -.- 1.23 . 704933 . 705224 . OO 4.85 4 QO . 235067 . 234776 48 47 14 15 . 702019 . 702236 3! 62 3?n . 936505 .936431 L23 1OO .705514 . 705805 :. OO 4.85 4QO .234480 . 234195 40 45 16 . 702452 . OU 3. 62 .936357 . Zo 1 22 . 766095 :. OO 4 83 . 233905 44 17 . 702669 3AA . 936284 100 . 766385 4 CO . 233015 43 18 ' .702885 . uU 3PO . 936210 . _' > 1 23 . 766675 . OO 4 83 . 233325 42 19 . 703101 . DU 3 fin . 936136 100 . 766905 4 CO . 233035 41 20 . 703317 . uU 3.60 . 930062 . - ) 1.23 . 767255 ;. OO 4.83 . 232745 40 21 22 9. 703533 . 703749 3.60 3 CO 9. 935988 .935914 1.23 1 23 9. 767545 . 767834 4.82 4 83 10. 232455 .232100 39 38 23 . 703964 . Oo 3 CO . 935840 . 768124 4 Rl . 231870 37 24 25 . 704179 . 704395 . Oo 3.00 3 CO . 935700 . 935092 L23 . 768414 . 768703 4. oo 4.82 4 8 . 231580 . 231297 36 35 26 27 28 . 704610 . 704825 . 705040 . Oo 3.58 3.58 3C7 . 935018 . 935543 . 935469 L25 1.23 100 . 708992 . 769281 . 769571 4. O-u 4.82 4.83 4 8 . 231008 .230719 . 230429 34 33 32 29 . 705254 . O/ 3 CO . 935395 . - - 1 . 769800 i. SO . 230140 31 30 . 705469 . Oo 3.57 . 935320 L23 . 770148 * . oU .82 . 229852 30 31 32 9. 705683 . 705898 3.58 3C7 9. 935246 . 935171 1.25 1OO 9. 770437 . 770726 '.82 10. 229563 . 229274 29 28 33 .706112 . o/ . 935097 . ._ ) IOC. . 771015 " an .228985 27 34 . 706326 3. 57 3cc . 935022 . /O 100 . 771303 ' ' 00 . 228697 26 35 . 706539 . OO o e.7 . 934948 . Zo IOC . 771592 4 en . 228408 25 36 . 706753 o. o 7 3C7 . 934873 . Zo . 771880 . oU 4 on .228120 24 37 38 . 706907 .707180 . O/ 3.55 3CC . 934798 . 934723 1.25 1 91 . 772168 . 772457 . oU 4.82 . 227832 . 227543 23 22 39 . 707393 . 00 CC . 934049 1. Zo Ioc . 772745 4 on . 227255 21 40 . 707000 O. OO 3.55 . 934574 . - ) 1.25 .773033 . oU 4.80 . 226967 20 41 9. 707819 3cc 9. 934499 Ioc 9. 773321 47Q 10. 220079 19 42 43 . 708032 . 708245 . 33 3.55 3CC . 934424 . 934349 . Zo 1.25 IOC . 773608 . 773896 . /o 4.80 4 on . 220392 . 226104 18 17 44 45 . 708458 . 708670 . 30 3.53 3 CO .934274 . 934199 . Zo 1.25 1 27 . 774184 . 774471 . ou 4.78 4 on. .225810 . 225529 16 15 46 47 . 708882 . 709094 . Oo 3.53 3 CO .934123 . 934048 L25 Ioc . 774759 . 775046 . oU 4.78 4 7. . 225241 . 224954 14 13 48 49 . 709300 . 709518 . Oo 3.53 . 933973 . 933898 . ZO 1.25 . 775333 . 775621 . to 4.80 . 224667 . 224379 12 11 50 .709730 3. 53 3.52 . 933822 1. 27 1.25 . 775908 4. 78 4.78 . 224092 10 51 52 53 54 9. 709941 . 710153 . 710304 . 710575 3.53 3.52 3.52 3 CO 9. 933747 .933071 . 933590 . 933520 1.27 1.25 1.27 IOC 9. 776195 . 776482 . 776768 . 777055 4.78 4.77 4.78 47Q 10.223805 . 223518 . 223232 . 222945 9 8 7 6 55 56 57 . 710786 ..710997 .711208 . )- 3.52 3.52 . 933445 . 933309 . 933293 . Z'J 1.27 1.27 1 27 . 777342 . 777628 . 777915 :. /O 4.77 4.78 477 . 222058 . 222372 . 222085 5 4 3 58 59 .711419 .711629 3! 50 . 933217 .933141 L27 . 778201 . 778488 . / / 4.78 . 221799 .221512 2 1 00 9. 711839 3. 50 9. 933060 1. 25 9. 778774 4. 77 10. 221220 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 59 C 157 31' TABLE 9. LOGARITHMIC SIXES, COSINES, 148 C ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 9. 711839 3 CO 9. 933066 197 9. 778774 4<77 10. 221226 60 1 . 712050 . Ol: o rrrj . 932990 . i *>7 . 779060 . // 477 . 220940 59 2 3 . 712200 . 712469 o. OU 3.48 3KA . 932914 . 932838 . - * .27 97 . 779346 . 779632 . / * 4.77 477 . 220654 . 220368 58 57 4 . 712679 . OU 3rn . 932762 . - < 00 . 779918 . / / 4rrc . 220082 56 5 . 712889 . OU 3 48 . 932685 . Zo 97 . 780203 . / O 477 . 219797 55 G . 713098 3CA . 932609 . - i 97 . 780489 II 477 .219511 54 7 . 713308 . OU 3 48 . 932533 . - / 97 . 780775 . / / 4 7^ . 219225 53 8 9 .713517 . 713726 3^48 3 48 . 932457 . 932380 . . - / .28 27 . 781060 . 781346 4. *O 4.77 47K . 218940 . 218(554 52 51 10 . 713935 3! 48 . 932304 !27 . 781631 . lO 4.75 . 218369 50 11 9. 714144 3. 47 9. 932228 00 9. 781916 4 7** 10. 218084 49 12 . 714352 3 JO .932151 . Zo 07 . 782201 4. /O 4nc . 21770!) 48 13 14 . 714561 . 714769 . 4o 3.47 340 . 932075 .931998 . - 1 .28 OO . 782486 . 782771 . /O 4.75 4*7tr .217514 . 217229 47 46 15 16 17 18 19 . 714978 .715186 . 715394 . 715602 . 715809 . 4o 3.47 3.47 3.47 3.45 3A1 . 931921 . 931845 . 931768 . 931691 . 931614 . /O .27 .28 .28 .28 00 . 783056 . 7S3341 . 783626 . 783910 . 784195 . /O 4.75 4.75 4.73 4.75 47Q . 216944 . 216659 .216374 . 21C.OOO . 215805 45 44 43 42 41 20 .716017 / 3.45 .931537 . 4O .28 . 784479 . 16 4.75 .215521 40 21 9. 716224 9. 931460 9. 784764 10.215236 39 22 23 . 716432 . 716639 3. 47 3.45 3AK . 931383 . 931306 .28 .28 OO . 785048 . 785332 4. 73 4.73 479. .214952 . 214668 38 37 24 25 26 . 716846 . 717053 . 717259 . 4O 3.45 3.43 34 1 ) . 931229 .931152 . 931075 . Zo .28 .28 OO . 785616 . 785900 . 786184 . /O 4.73 4.73 4 7^ . 214384 . 214100 . 213816 36 35 34 27 . 717466 . 4O . 930998 . - > .786468 4. /o . 213532 33 28 . 717673 3. 45 3 43 .930921 .28 Of* . 786752 4. 73 4 71 . 213248 32 29 30 . 717879 . 718085 3^43 3.43 . 930843 . 930766 . ou .28 .30 . 787036 . 787319 4. to 4.72 4.73 . 212964 .212681 31 30 31 32 9. 718291 . 718197 3.43 3,40 9. 930688 . 930611 .28 on 9. 787603 . 787886 4.72 479. 10. 212397 .212114 29 28 33 34 35 36 . 718703 . 718909 .719114 . 719320 . 4o 3.43 3.42 3.43 . 930533 . 930456 . 930378 . 930300 . 60 .28 .30 .30 . 788170 . 788453 . 788736 . 789019 . /O 4.72 4.72 4.72 .211830 . 211547 . 211264 . 210981 27 26 25 24 37 38 . 719525 . 719730 3. 42 3.42 . 930223 . 930145 .28 .30 . 789302 . 789585 4. 72 4.72 . 210698 .210415 23 22 39 40 . 719935 . 720140 3. 42 3.42 3.42 . 930067 . 929989 . 30 .30 .30 . 789868 . 790151 4. 72 4.72 4.72 .210132 . 209849 21 20 41 9. 720345 340 9. 929911 Of) 9. 790434 * 70 10. 209566 19 42 . 720549 . rlu 349 . 929833 . oU On . 790716 72 .209284 18 43 . 720754 . * 3Af\ . 929755 . oU on . 790999 7A . 209001 17 44 . 720958 . 4U 3Af\ . 929677 . oU on . 791281 . /U * 70 . 208719 16 45 . 721162 . 4U 3A(\ . 929599 . oU on . 791563 79 . 208437 15 46 . 721366 . 4U *} Af\ . 929521 . oU 09 .791846 - i - . 208154 14 47 . 721570 o. 4U . 929442 . >- . 792128 . 207872 13 48 . 721774 3. 40 3A(\ . 939364 .30 . 792410 . 70 7fl . 207590 12 49 . 721978 . 4U 300 . 929286 . 30 oo . 792692 . /U , 7A . 207308 11 50 . 722181 . 00 3.40 . 929207 . '- .30 . 792974 * . /U .70 . 207026 10 51 9. 722385 3OO 9. 929129 oo 9. 793256 ^ 70 10. 206744 9 52 .722588 . oo 300 . 929050 . ' - . 793538 * . /U . /?o . 206462 8 53 .722791 . oo 300 . 928972 . 30 00 . 793819 . Do , 70 . 206181 7 54 . 722994 . oo 30Q . 928893 .. o*i on .794101 . 205899 6 55 .723197 . Oo 3QO . 928815 . oU . 794383 AQ . 205617 5 56 . 723400 . 00 300 . 928736 . 32 oo . 794664 ^ . Do , 7fi . 205336 4 57 58 . 723603 . 723805 . Oo 3. 37 . 92S657 . 928578 . O4 .32 . 794946 . 795227 1 . /U 4.0)8 4 AC .205054 . 204773 3 2 59 60 . 724007 9. 724210 3. 37 3.38 . 928499 9. 92S420 . 32 1.32 . 795508 9. 795789 . DO 4.68 . 204492 10.204211 1 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tttttf. ' isr 58 e 158 TANGENTS, AND COTANGENTS. 147' ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 1 2 9. 724210 . 724412 . 724614 3.37 3.37 307 9. 928420 .928342 . 928203 1.30 .32 OO 9. 795789 . 790070 . 796351 4.68 4.68 4 AC 10.204211 . 203930 . 203649 60 59 58 3 4 . 724810 . 725017 . Ol 3.35 o 07 . 928183 . 928104 . OO .32 OQ . 796632 . 796913 . Oo 4.68 4Afl . 203308 . 203087 57 56 5 . 725219 O. Ol 3 or . 928025 . ' )_ 00 . 797194 . Oo 4/--7 . 202806 55 6 7 8 9 . 725420 . 725622 . 725823 . 726024 . <5O 3.37 3.35 3.35 o or . 927940 . 927867 . 927787 . 927708 . oJ .32 .33 .32 on . 797474 . 797755 . 798036 . 798316 . O/ 4.68 4.68 4.67 4 Off . 202520 . 202245 . 201904 . 201084 54 53 52 51 10 . 726225 o. oo 3.35 . 927629 .. - .33 . 798596 . O* 4.68 . 201404 50 11 12 13 9. 726426 . 726020 . 726827 3.33 3.35 00 9. 927549 . 927470 .927390 .32 .33 00 9. 798877 . 799157 . 799437 4.67 4.67 4/17 10. 201123 . 200843 . 200503 49 48 47 14 15 10 . 727027 . 727228 . 727428 O. oo 3.35 3.33 300 . 927310 . 927231 . 927151 . OO .32 .33 00 . 799717 . 799997 . 800277 . Oi 4.67 4.67 4C*7 . 200283 .200003 . 199723 46 45 44 17 18 . 727028 . 727828 . OO 3.33 Son . 927071 . 926991 . OO .33 00 . 800557 . 800836 . O/ 4.65 4f"7 . 199443 . 199104 43 42 19 20 . 728027 . 728227 . 3.33 3.33 .926911 . 926831 . OO .33 .33 .801116 . 801396 . O/ 4.67 4.65 . 198884 . 198604 41 40 21 22 23 24 9. 728427 . 728020 . 728825 . 729024 3.32 3.32 3.32 o oo 9. 926751 . 926671 . 926591 .926511 .33 .33 .33 oo 9. 801075 .801955 . 802234 . 802513 4.67 4.65 4.65 4f*C 10. 198325 . 198045 . 197706 . 197487 39 38 37 36 25 26 27 28 29 30 . 729223 . 729422 . 729021 . 729820 . 730018 . 730217 O. _ 3.32 3.32 3.32 3.30 3.32 3.30 . 926431 . 920351 . 920270 .926190 .920110 x 920029 .. OO .33 .35 .33 .33 .35 .33 . 802792 . 803072 . 803351 . 803030 . 803909 . 804187 . oo 4.67 4.65 4.65 4.65 4.63 4.65 . 197208 . 196928 . 190049 .196370 . 196091 . 195813 35 34 33 32 31 30 31 32 33 34 9. 730415 . 730613 .730811 . 731009 3.30 3.30 3.30 3OO 9. 925949 . 925868 . 925788 . 925707 .35 .33 .35 or 9. 804406 . 804745 . 805023 . 805302 4.65 4.63 4.65 10. 195534 . 195255 . 194977 . 194698 29 28 27 26 35 36 37 38 39 40 . 731208 . 731404 . 731602 . 731799 . 731996 . 732193 . AO 3.30 3.30 3.28 3.28 3.28 3.28 . 925626 . 925545 . 925465 . 925384 . 925303 . 925222 . OO .35 .33 .35 .35 .35 .35 .805580 .805859 . 800137 . 806415 . 806693 . 806971 4. 63 4.65 4.63 4.63 4.63 4.63 4.63 . 194420 . 194141 . 193863 . 193585 . 193307 . 193029 25 24 23 22 21 20 41 42 43 44 45 46 47 9. 732390 . 732587 . 732784 . 732980 . 733177 . 733373 . 733569 3.28 3.28 3.27 3.28 3.27 3.27 O7 9. 925141 . 925060 . 924979 . 924897 . 924816 .924735 . 924654 .35 .35 .37 .35 .35 .35 07 9'. 807249 . 807527 . 807805 .808083 .808361 . 808638 . 808916 4.63 4.63 4.03 4.03 4.02 4.63 10. 192751 . 192473 . 192195 . 191917 . 191639 . 191362 . 191084 19 18 17 16 15 14 13 48 49 . 733705 . 733961 O. ii 3.27 o 97 . 924572 . 924491 . Ol .35 07 . 809193 . 809471 4. 62 4.63 . 190807 .190529 12 11 50 . 734157 o. Zi 3.27 .924409 . Of .35 . 809748 4. 62 4.62 . 190252 10 51 52 53 54 55 9. 734353 . 734549 . 734744 . 734939 . 735135 3.27 3.25 3.25 3.27 3oe 9. 924328 .924246 . 924164 . 924083 . 924001 .37 .37 .35 .37 9. 810025 . 810302 . 810580 .810857 .811134 4.62 4.03 4.62 4.62 10. 189975 . 189698 . 189420 . 189143 .188866 9 8 7 6 5 56 57 58 .735330 . 735525 . 735719 . ZO 3.25 3.23 3 OP; . 923919 . 923837 . 923755 . 37 .37 .37 .811410 . 811687 . 811964 4. 60 4.62 4.62 . 188590 . 188313 . 188036 4 3 2 CQ 60 .735914 9. 730109 . Zo 3.25 . 923673 9. 923591 . 37 .37 .812241 9. 812517 4. 62 4.00 . 187759 10. 187483 1 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 122' 57 C 159 33 C TABLE 9. LOGARITHMIC SINES, COSINES, 146 C ' Sine. D. 1". Cosine. D. 1". Tang. D.I". Cotang. ' 9. 736109 390 9. 923591 107 9. 812517 10. 1874S3 60 1 . 736303 . -<> . 923509 . O4 . 812794 4. 0^ . 187206 59 2 3 . 736498 . 736692 3.25 3.23 . 923427 . 923345 1. 37 1.37 . 813070 . 813347 4. 60 4.62 . 186930 . 186653 58 57 4 5 . 736886 . 737080 3. 23 3.23 3OO . 923263 . 923181 1. 37 1.37 100 . 813623 . 813899 4. 60 4.60 . 186377 . 186101 56 55 6 7 . 737274 . 737467 . > 3.22 3OO . 923098 . 923016 . OO 1.37 100 .814176 .814452 4. 60 4f\f\ . 185824 . 185548 54 53 8 9 . 737661 . 737855 . O 3.23 o 99 . 922933 .922851 . OO 1.37 1OO . 814728 .815004 :. CU 4.60 . 185272 . 184996 52 51 10 . 738048 O. - 3.22 . 922768 . OO 1.37 . 815280 4^58 . 184720 50 11 12 9. 738241 . 738434 3.22 o 22 9. 922686 . 922603 1.38 100 9. 815555 . 815831 4.60 4f\f\ 10. 184445 . 18416'J 49 48 13 14 . 738627 . 738820 3^22 o 99 . 922520 . 922438 - OO 1.37 100 . 816107 .816382 OU 4.58 4 fin . 183893 . 183618 47 46 15 16 17 18 19 . 739013 . 739206 . 739398 . 739590 . 739783 o. -- 3.22 3.20 3.20 3.22 . 922355 . 922272 . 922189 . 922106 . 922023 OO 1.38 1.38 1.38 1.38 100 . 816658 . 816933 . 817209 . 817484 .817759 . OU 4.58 4.60 4.58 4.58 4(\f\ . 183342 . 183067 . 182791 . 182516 . 182241 45 44 43 42 41 20 . 739975 3! 20 . 921940 ,. OO 1.38 . 818035 . OU 4.58 . 181905 40 21 22 9. 740167 . 740359 3.20 9.921857 .921774 1.38 9.818310 .818585 4.58 10. 181690 . 181415 39 38 23 24 . 740550 . 740742 3. 18 3.20 3 on . 921691 . 921607 1. 38 1.40 100 .818860 .819135 4. 58 4.58 4 CO . 181140 . 180865 37 36 25 26 . 740934 . 741125 . - u 3.18 3 1C . 921524 . 921441 . OO 1.38 . 819410 . 819684 . Oo 4.57 4 CO . 180590 . 180316 35 34 27 28 29 .741316 . 741508 . 741699 . lo 3.20 3.18 . 921357 . 921274 .921190 L38 1.40 .819959 .820234 . 820508 . Oo 4.58 4.57 . 180041 . 179766 . 179492 33 32 31 30 . 741889 3. 17 3.18 . 921107 1. 38 1.40 .820783 4. 58 4.57 . 179217 30 31 9. 742080 31 fi 9. 921023 9. 821057 10. 178943 29 32 33 34 . 742271 . 742462 . 742652 . lo 3.18 3.17 . 920939 .920856 . 920772 L38 1.40 . 821332 .821606 . 821880 4^57 4.57 . 178668 . 178394 . 178120 28 27 26 35 36 . 742842 . 743033 3. 17 3.18 317 .920688 . 920604 1. 40 1.40 . 822154 . 822429 4. 57 4.58 4C7 . 177846 . 177571 25 24 37 . 743223 . I/ . 920520 i n .822703 :. Ol . 177297 23 38 . 743413 3. 17 31 ^ . 920436 1. 40 1Af\ .822977 4. 57 4C7 . 177023 22 39 40 . 743602 . 743792 . 10 3.17 3.17 . 920352 . 920268 . 4U 1.40 1.40 .823251 .823524 :. Ol 4.55 4.57 . 176749 . 176476 21 20 41 9. 743982 31 9. 920184 8.823798 4C7 10. 176202 19 42 43 . 744171 . 744361 . 10 3.17 31 . 920099 . 920015 1.40 . 824072 .824345 . Oi 4.55 4 57 . 175928 . 175655 18 17 44 45 . 744550 . 744739 . 10 3.15 31 ?! . 919931 . 919846 L42 . 824619 .824893 4^57 . 175381 . 175107 16 15 46 47 . 744928 . 745117 . 10 3.15 . 919762 . 919677 1.42 .825166 . 825439 4^55 . 174834 . 174561 14 13 48 49 50 . 745306 . 745494 . 745683 3. 15 3.13 3.15 3.13 . 919593 . 919508 . 919424 1.42 1.40 1.42 . 825713 . 825986 . 826259 4. 57 4.55 4.55 4.55 . 174287 . 174014 . 173741 12 11 10 51 9. 745871 31 9. 919339 9. 826532 4CC 10. 173468 9 52 53 . 746060 . 746248 . 10 3.13 31 Q . 919254 . 919169 L42 .826805 . 827078 :. OO 4.55 . 173195 . 172922 8 7 54 55 . 746436 . 746624 . lo 3.13 . 919085 . 919000 1.42 .827351 . 827624 4^55 4cr . 172649 . 172376 6 5 56 57 58 .746812 . 746999 . 747187 3. 13 3.12 3.13 3 1O . 918915 .918830 918745 1. 42 1.42 1.42 14ft . 827897 . 828170 . 828442 . OJ 4.55 4.53 4CC . 172103 . 171830 . 171558 4 3 2 59 60 . 747374 9. 747562 . 1Z 3.13 .918659 9. 918574 . 4o 1.42 .828715 9.828987 . OO 4.53 . 171285 10. 171013 1 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 56 C 160 34 C TANGENTS, AND COTANGENTS. 145 C ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 9. 747502 3 1O 9. 918574 Ikn 9. 828987 4 re 10. 171013 60 1 . 747749 . I/ 31 O . 918489 . 4Z 1.40 . 829200 . OO 4 CO . 170740 59 2 . 747930 . U 319 . 918404 . 41 ISO . 829532 . OO 4 err . 170468 58 3 4 . 748123 . 748310 . U 3.12 3 1O . 918318 . 918233 . 4o 1.42 . 829805 . 830077 . OO 4.53 4 CO . 170195 . 169923 57 56 5 . 748497 . f _ 31 n .918147 1. 43 1AO . 830349 . OO 4 fro . 169651 55 6 . 748(83 . \\) . 918062 . 4Z . 830621 :. DO . 169379 54 7 8 . 74S870 . 7490,j(i 3. 12 3.10 31 iy . 917976 . 917891 1. 43 1.42 1JO . 830893 .831105 4. 53 4.53 4 CO . 169107 . 168835 53 52 9 10 . 749243 . 749429 . LA 3.10 3.10 . 917805 . 917719 aQI 7(\**A . 4o 1.43 1.42 . 831437 . 831709 :. OO 4.53 4.53 . 168563 . 168291 51 50 11 12 9. 749615 . 749801 3.10 31 n . yi /oo4 . 917548 1.43 IJo 9. 831981 . 832253 4.53 4 co 10. 168019 . 167747 49 48 13 14 15 10 17 18 19 20 . 749987 . 750172 . 750358 . 750543 . 750729 . 750914 . 751099 . 751284 . 1U 3.08 3.10 3.08 3.10 3.08 3.08 3.08 3.08 . 917462 . 917370 . 917290 . 917204 .917118 . 917032 . 916946 . 916859 . 4o 1.43 1.43 1.43 1.43 1.43 1.43 1.45 1.43 . 832525 . 832790 .833008 . 833339 .833611 .833882 . 834154 . 834425 :. OO 4.52 4.53 4.52 4.53 4.52 4.53 4.52 4.52 . 167475 . 167204 . 166932 . 166601 . 166389 .166118 . 165846 . 165575 47 46 45 44 43 42 41 40 21 22 9. 751469 . 751654 3.08 3 no 9. 916773 .916687 1.43 1AC 9. 834696 . 834967 4.52 A Cl> 10. 105304 . 165033 39 38 23 24 . 751839 . 752023 . Uo 3.07 3fio . 916600 .916514 * 4o 1.43 1AK . 835238 . 835509 4. OZ 4.52 A .0 . 164702 . 164491 37 30 25 20 . 752208 . 752392 . Uo 3.07 3H7 . 916427 . 916341 . 4o 1.43 IJk . 835780 . 836051 4. O.J 4.52 4 CO . 164220 . 163949 35 34 27 28 . 752576 . 752760 . U* 3.07 3rt7 . 916254 . 916167 . 40 1.45 1/11 . 836322 . 836593 :. OA 4.52 4 CO . 163678 . 163407 33 32 29 30 . 752944 . 753128 . U/ 3.07 3.07 . 916081 . 915994 . 4o 1.45 1.45 . 836864 . 837134 . >- 4.50 4.52 . 163136 . 162866 31 30 31 32 33 34 9. 753312 . 753495 . 753079 . 753862 3.05 3.07 3.07 3A7 9. 915907 . 915820 . 915733 . 915646 1.45 1*.45 1.45 9. 837405 . 837675 . 837946 . 838216 4.50 4.52 4.50 10. 162595 . 162325 . 162054 . 161784 29 28 27 26 35 36 37 38 . 754046 . 754229 . 754412 .754595 . UV 3.05 3.05 3.05 3f\r . 915559 . 915472 . 915385 . 915297 1. 45 1.45 1. 45 1.47 1AX . 838487 . 838757 . 839027 . 839297 4. 52 4.50 4.50 4.50 4 CO . 161513 . 161243 . 160973 . 160703 25 24 23 22 39 40 . 754778 . 754960 . UO 3.03 3.05 . 915210 . 915123 . 4o 1.45 1.47 . 839568 . 839838 . O4 4.50 4.50 . 160432 . 160162 21 20 41 42 43 9. 755143 . 755326 . 755508 3.05 3.03 Q no 9. 915035 . 914948 . 914800 1.45- 1.47 1AK 9. 840108 . 840378 . 840648 4.50 4.50 4,10 10. 159892 . 159622 . 159352 19 18 17 44 45 40 . 755690 . 755872 . 756054 o. (Jo 3.03 3.03 o no . 914773 . 914685 . 914598 . 4o 1.47 1.45 1A.7 . 840917 . 841187 . 841457 . 4o 4.50 4.50 A c^n . 159083 . 158813 . 158543 16 15 14 47 48 49 50 . 756236 . 756418 . 756600 . 756782 O. Uo 3.03 3.03 3.03 3.02 .914510 . 914422 . 914334 . 914246 . 4/ 1.47 1.47 1.47 1.47 . 841727 . 841996 .842266 .842535 4. DU 4.48 4.50 4.48 4.50 . 158273 . 158004 . 157734 . 157465 13 12 11 10 51 9. 756903 (V> 9. 914158 1 47 9. 842805 4AS1 10. 157195 9 52 53 54 55 56 57 . 757144 . 757326 . 757507 . 757688 . 757869 . 758050 O. \) 3.03 3.02 3.02 3.02 3.02 . 914070 . 913982 . 913894 . 913806 . 913718 . 913630 1. 4/ 1.47 1.47 1.47 1.47 1.47 . 843074 . 843343 . 843612 . 843882 . 844151 . 844420 . 4o 4.48 4.48 4.50 4.48 4.48 . 156926 . 156657 . 156388 .156118 . 155849 . 155580 8 7 6 5 4 3 58 59 60 . 758230 .758411 9. 758591 3. 00 3.02 3.00 . 913541 . 913453 9. 913365 1. 48 1.47 1.47 . 844689 . 844958 9. 845227 4. 48 4.48 4.48 . 155311 . 155042 10. 154773 2 1 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 134 C 55 4147910 11 161 35 TABLE 9. LOGARITHMIC SINES, COSINES, 144 ' Sine. D. 1". Cosine. ' Tang. D. 1". Cotang. ' 9. 758591 . 758772 3.02 9. 913365 . 913276 1.48 9.845227 . 845496 4.48 10. 154773 . 154504 60 59 2 3 4 5 . 758952 . 759132 . 759312 . 759492 3. 00 3.00 3.00 3.00 3 fin . 913187 . 913099 . 913010 . 912922 1. 48 1.47 1.48 1.47 . 845764 . 846033 . 846302 . 846570 4. 47 4.48 4.48 4.47 A JV . 154236 . 153967 . 153698 . 153430 58 57 56 55 6 7 . 759672 . 759852 . uu 3.00 .912833 . 912744 L48 . 846839 . 847108 4. flp 4.48 4J7 . 153161 . 152892 54 53 8 . 760031 3nn . 912655 1 A' . 847376 . 4f 4J7 . 152624 52 9 10 .760211 . 760390 . UU 2.98 2.98 . 912566 . 912477 L48 1.48 . 847644 . 847913 . 4/ 4.48 4.47 . 152356 . 152087 51 50 11 9. 760569 9. 912388 9. 848181 10. 151819 49 12 . 760748 2. 98 . 912299 1. 48 . 848449 4. 47 . 151551 48 13 14 .760927 .761106 2^98 . 912210 .912121 1. 48 1.48 Icn . 848717 . 848986 4. 47 4.48 . 151283 . 151014 47 46 15 . 761285 9 QS . 912031 . oU Ijo . 849254 4. 47 447 . 150746 45 16 . 761464 *** . 911942 .. 4o . 849522 . 4/ . 150478 44 17 . 761642 2.97 . 911853 1.48 Icn . 849790 4. 47 . 150210 43 18 19 20 . 761821 . 761999 . 762177 2^97 2.97 2.98 .911763 .911674 . 911584 . OU 1.48 1.50 1.48 . 850057 . 850325 . 850593 4. 47 4.47 4.47 . 149943 . 149675 . 149407 42 41 40 21 22 23 9. 762356 . 762534 . 762712 2.97 - 2.97 9.911495 .911405 .911315 1.50 1.50 9. 850861 .851129 .851396 4.47 4.45 10. 149139 . 148871 . 148604 39 38 37 24 25 . 762889 . 763067 2. 95 2.97 2O7 .911226 .911136 1. 48 1.50 1Cf\ . 851664 .851931 4. 47 4.45 . 148336 . 148069 36 35 26 . 763245 . y/ .911046 . ou . 852199 4. 47 . 147801 34 27 28 29 30 . 763422 .763600 . 763777 . 763954 2. 95 2.97 2.95 2.95 2.95 . 910956 . 910866 .910776 . 910686 1.50 1.50 1.50 1.50 1.50 . 852466 .852733 .853001 . 853268 4. 45 4.45 4.47 4.45 4.45 . 147534 . 147267 . 146999 . 146732 33 32 31 30 31 9. 764131 9. 910596 9. 853535 10. 146465 29 32 33 34 35 36 37 38 39 40 .764308 . 764485 . 764662 . 764838 . 765015 .765191 . 765367 . 765544 . 765720 2. 95 2.95 2.95 2.93 2.95 2.93 2.93 2.95 2.93 2.93 . 910506 . 910415 .910325 . 910235 .910144 . 910054 . 909963 . 909873 . 909782 1. 50 1.52 1.50 1.50 1.52 1.50 1.52 1.50 1.52 1.52 . 853802 . 854069 . 854336 . 854603 . 854870 .855137 . 855404 . 855671 . 855938 4. 45 4.45 4.45 4.45 4.45 4.45 4.45 4.45 4.45 4.43 . 146198 . 145931 . 145664 . 145397 . 145130 . 144863 . 144596 . 144329 . 144062 28 27 26 25 24 23 22 21 20 41 42 9. 765896 . 766072 2.93 9. 909691 . 909601 1.50 1. 52 9. 856204 . 856471 .45 10. 143796 . 143529 19 18 43 44 45 46 47 48 . 766247 . 766423 . 766598 . 766774 . 766949 . 767124 2.' 93 2.92 2.93 2.92 2.92 .909510 . 909419 . 909328 . 909237 . 909146 . 909055 1.52 1.52 1.52 1.52 1.52 Ico . 856737 .857004 . 857270 . 857537 . 857803 . 858069 46 .43 .45 .43 .48 . 143263 . 142996 . 142730 . 142463 . 142197 . 141931 17 16 15 14 13 12 49 50 . 767300 . 767475 2^92 2.90 .908964 . 908873 . < ) 1.52 1.53 . 858336 .858602 '!43 .43 . 141664 . 141398 11 10 51 52 53 9. 767649 . 767824 . 767999 2.92 2.92 9. 908781 . 908690 . 908599 1.52 1.52 ICQ 9.858868 . 859134 . 859400 .43 <.43 10. 141132 . 140866 . 140600 9 8 7 54 55 . 768173 . 768348 2. 92 2 on . 908507 . 908416 . OO 1.52 CO . 859666 . 859932 ^43 . 140334 . 140068 6 5 56 . 768522 . yu . 908324 .. Oo . 860198 ' ' A"* . 139802 4 57 58 59 . 768697 .768871 . 769045 2. 90 2.90 . 908233 . 908141 . 908049 !53 .53 . 860464 . 860730 . 860995 4^43 4.42 . 139536 . 139270 . 139005 3 2 1 60 9. 769219 2.90 9. 907958 .52 9. 861261 4. 43 10. 138739 f Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 162 36 TANGENTS, AND COTANGENTS. 143 C ' Sine. D. 1". Cosine. D. 1". Tang. D. I". Cotang. ' 9. 709219 2Qn 9. 907958 ICO 9. 861261 4 4^ 10. 138739 60 1 2 3 . 769393 .769566 . 769740 . yu 2.88 2.90 200 . 9078G6 . 907774 . 907682 . OO 1.53 1.53 ICO . 861527 . 861792 . 862058 442 4.43 . 138473 . 138208 . 137942 59 58 57 4 5 . 769913 . 770087 . OO 2.90 2QQ . 907590 . 907498 . Oo 1.53 Iro . 862323 . 862589 4. 42 4.43 . 137677 . 137411 56 55 6 7 . 7702(50 . 770433 . Oo 2.88 2QO . 907406 .907314 . Oo .53 CO . 862854 . 863119 4.42 A A** . 137146 . 136881 54 53 8 . 770ii06 - OO 2QQ . 907222 . Oo . 863385 4. 4o 4A(\ . 136615 52 9 10 . 770779 . 770952 . OO 2.88 2.88 . 907129 . 907037 :!s3 .53 . 863650 . 863915 . 42 4.42 4.42 . 136350 . 136085 51 50 11 12 13 9. 771125 . 77121)8 . 771470 2.88 2.87 2 GO 9. 906945 . 900852 . 906760 .55 :.53 9. 864180 . 864445 . 864710 4.42 4.42 10. 135820 . 135555 . 135290 49 48 47 14 15 16 17 18 19 . 771643 . 771815 . 771987 . 772159 . 772331 . 772503 . OO 2.87 2.87 2.87 2.87 2.87 207 . 906667 . 90()575 . 906482 . 906389 . 906296 . 906204 . 55 .53 .55 .55 .55 .53 re . 864975 . 865240 .865505 . 865770 . 866035 . 866300 4. 42 4.42 4.42 4.42 4.42 4.42 4Af\ . 135025 . 134760 . 134495 . 134230 . 133965 . 133700 46 45 44 43 42 41 20 . 772675 . o/ 2.87 . 906111 . OO 1.55 . 866564 . 4U 4.42 . 133436 40 21 22 23 24 25 26 9. 772847 . 773018 . 773190 . 773361 . 773533 . 773704 2.85 2.87 2.85 2.87 2.85 2or 9. 906018 .905925 .905832 . 905739 . 905645 . 905552 1.55 1.55 1.55 1.57 1.55 9. 866829 . 867094 . 867358 . 867623 . 867887 . 868152 4.42 4.40 4.42 4.40 4.42 10. 133171 . 132906 . 132642 . 132377 . 132113 . 131848 39 38 37 36 35 34 27 . 773875 . OO 2QC , . 905459 1. 55 ICC . 868416 '. . 40 . 131584 33 28 . 774046 . OO 2 or . 905366 .00 1r7 . 868680 40 . 131320 32 29 30 . 774217 . 774388 . oO 2.85 2.83 .905272 . 905179 . O/ 1.55 1.57 . 868945 . 869209 ' . 42 .40 .40 . 131055 . 130791 31 30 31 9. 774558 2oc 9.905085 9. 869473 10. 130527 29 32 . 774729 . OO 200 . 904992 1. 55 . 869737 ' . 40 Af\ . 130263 28 33 . 774899 . OO 2oe . 904898 1. 57 . 870001 < . 4U . 129999 27 34 35 . 775070 . 775240 . OO 2.83 . 904804 . 904711 1. 57 1.55 1C7 .870265 . 870529 '. . 40 .40 . 12973o . 129471 26 25 36 . 775410 9 ftl . 904617 . O/ Ic.7 . 870793 < . 40 . Af\ . 129207 24 37 38 39 40 . 775580 . 775750 . 775920 . 776090 - - oo 2.83 2.83 2.83 2.82 . 904523 . 904429 .904335 . 904241 . O/ 1.57 1.57 1.57 1.57 . 871057 . 871321 . 871585 . 871849 * . 4U 4.40 4.40 4.40 4.38 . 128943 . 128679 . 128415 . 128151 23 22 21 20 41 42 43 44 9. 776259 . 776429 . 776598 . 776768 2.83 2.82 2.83 2C9 9. 904147 . 904053 . 903959 . 903864 1.57 1.57 1.58 9. 872112 . 872376 . 873640 . 872903 4.40 4.40 4.38 10. 127888 . 127624 . 127360 . 127097 19 18 17 16 45 . 776937 . O J 9 Q.9 . 903770 1. 57 1C7 . 873167 4. 40 400 .126833 15 46 47 . 777106 . 777275 - o^ 2.82 O CO . 903676 . 903581 . O/ 1.58 .873430 . 873694 . oo 4.40 . 126570 . 126306 14 13 48 49 . 777444 . 777613 Z. 04 2.82 2 en . 903487 . 903392 1. 57 1.58 . 873957 . 874220 4. 38 4.38 . 126043 . 125780 12 11 50 . 777781 . oU 2.82 . 903298 1. 57 1.58 . 874484 4. 40 4.38 . 125516 10 51 9. 777950 2 CO 9. 903203 9. 874747 10. 125253 9 52 53 . 778119 . 778287 . J 2.80 2 on . 903108 . 903014 1. 58 1.57 . 875010 . 875273 4. 38 4.38 . 124990 . 124727 8 7 54 55 56 . 778455 . 778624 . 778792 . OU 2.82 2.80 9 QH . 902919 .902824 . 902729 1. 58 1.58 1.58 . 875537 . 875800 . 876063 ^38 .38 00 . 124463 . 124200 . 123937 6 5 4 57 . 778960 6. OU 2OA .902634 1. 58 . 876326 . 00 . 123674 3 58 . 779128 . oU 270 . 902539 1. 58 . 876589 l , . 38 QQ . 123411 2 59 CO . 779295 9. 779463 . *o 2.80 . 902444 9. 902349 l'.58 . 876852 9.877114 i . oo .37 . 123148 10. 122886 1 ' Cosine. D. I". Sine. D. I". Cotang. D. 1". Tang. ' 126 53 c 163 37 ' TABLE . LOGARITHMIC SINES, COSINES, 142 e ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 9. 779463 2 or* 9. 902349 9.877114 10. 122880 60 1 2 3 . 779631 . 779798 . 779966 . oO 2.78 2.80 . 902253 . 902158 . 902063 !ss .58 . 877377 . 877040 . 877903 4. 38 4.38 4.38 477 . 122023 . 1223GO . 122097 59 58 57 4 . 780133 270 . 901967 CO . 878165 . O/ 400 . 121835 50 5 6 . 780300 . 780467 . /O 2.78 . 901872 . 901776 . Oo .60 eg . 878428 .878691 . OO 4.38 4QT . 121572 . 121309 55 54 7 . 780634 2 7ft . 901681 . Oo .878953 . Ol . 121047 53 8 9 . 780801 .780968 2. 78 277 . 901585 . 901490 . GO .58 f\t\ .879216 . 87947S 4. 38 4.37 . 120784 . 120522 52 51 10 .781134 . / / 2.78 . 901394 . w .60 .879741 4. 38 4.37 . 120259 50 11 12 13 9. 781301 . 781468 . 781634 2.78 2.77 9. 901298 .901202 . 901100 .60 .60 9.880003 . 8802G5 . 880528 4.37 4.38 10. 119997 . 119735 . 119472 49 48 47 14 15 .781800 . 781960 2. 77 2.77 277 . 901010 . 900914 . 60 .60 AH .880790 .881052 4.37 4.37 407 . 119210 . 118948 40 45 16 17 18 19 20 . 782132 . 782298 . 782464 . 782630 . 782796 it 2.77 2.77 2.77 2.77 2.75 . 900818 .900722 .900626 . 900529 . 900433 . OU .60 .60 .62 .60 .GO .881314 . 881577 . 881839 .882101 .882363 . oY 4.38 4.37 4.37 4.37 4.37 . 118686 . 118423 . 118101 . 117899 . 117637 44 43 42 41 40 21 9. 782961 277 9. 900337 A9 9. 882625 477 10. 117375 39 22 23 24 25 26 27 28 29 30 . 783127 . 783292 . 783458 . 783623 . 783788 . 783953 .784118 . 784282 . 784447 - / / 2.75 2.77 2.75 2.75 2.75 2.75 2.73 2.75 2.75 . 900240 . 900144 .900047 . 899951 . 899854 . 899757 . 899660 . 899564 . 899467 . - _ .GO .62 .60 .62 .62 .62 .60 .62 .62 . 882887 .883148 . 883410 . 883672 . 883934 .884196 . 884457 . 884719 . 884980 . Ol 4.35 4.37 4.37 4.37 4.37 4.35 4.37 4.35 4.37 .117113 . 116852 . 116590 . 116328 . 110000 . 115804 . 115543 . 115281 . 115020 38 37 36 35 34 33 32 31 30 31 32 9. 784612 . 784776 2.73 27C 9. 899370 . 899273 .62 9. 885242 . 885504 4.37 40C 10. 114758 .114490 29 28 33 34 . 784941 . 785105 . to 2.73 . 899176 . 899078 '.63 A9 . 885765 . 886026 . OO 4.35 477 . 114235 . 113974 27 ?6 35 36 .785269 . 785433 2^73 270 .898981 .898884 . ' ( - .62 A9 . 886288 .886549 of 4.35 477 .113712 . 113451 25 24 37 38 . 785597 . 785761 fo 2.73 270 . 898787 . 898689 . O-i .63 A9 .886811 .887072 :. Of 4.35 4 35 . 113189 . 112928 23 22 39 40 . 785925 . 786089 . IO 2.73 2.72 . 898592 . 898494 . ' >- .63 .62 . 887333 .887594 4^35 4.35 . 112607 . 112406 21 20 41 9. 786252 277. 9. 898397 A7 9. 887855 4 OK 10. 112145 19 42 43 . 786416 . 786579 . to 2.72 279 .898299 . 898202 . OO .62 A7 .888116 . 888378 :. OO 4.37 4OC . 111884 . 111622 18 17 44 45 . 786742 . 786906 . f & 2.73 279 .898104 . 898006 . OO .63 .888639 .888900 :. OO 4.35 4OC . 111361 . 111100 16 15 46 . 787069 . i - 279 . 897908 TQ . 889161 :. OO 400 . 110839 14 47 . 787232 . 1 & . 897810 . OO .889421 . OO _ oe . 110579 13 48 49 . 787395 . 787557 2. 72 2.70 . 897712 . 897614 . 63 .63 . 889682 .889943 4. oo 4.35 4 or . 110318 . 110057 12 11 50 . 787720 2. 72 2.72 . 897516 . 63 .63 . 890204 . 63 4.35 . 109796 10 51 52 9. 787883 . 788045 2.70 279 9.897418 . 897320 .63 A7 9. 890465 . 890725 4.33 4OC 10. 109535 . 109275 9 8 53 54 .788208 . 788370 . i ~ 2.70 . 897222 . 897123 . OO .65 . 890986 .891247 . OO 4.35 477 . 109014 . 108753 7 6 55 .788532 2. 70 27H . 897025 . 63 fc . 891507 . OO 4 or . 108493 5 56 57 . 788694 .788856 . /u 2.70 . 896926 . 896828 . OO .63 .891768 . 892028 . OO 4.33 . 108232 . 107972 4 3 58 59 . 789018 . 789180 2. 70 2.70 .896729 .896631 .65 .63 . 892289 . 892549 4. 35 4.33 40-r . 107711 . 107451 2 1 60 9. 789342 2. 70 9. 896532 . 65 9. 892810 . OO 10. 107190 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 127' 164 38 C TANGENTS, AND COTANGENTS. 141 e ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 1 2 3 4 5 6 7 8 9 9. 789342 . 789504 . 789665 . 789827 . 789988 . 790149 . 790310 . 790471 .790632 . 790793 2.70 2.68 2.70 2.68 2.68 2.68 2.68 2.68 2.68 9. 896.532 . 896433 . 896335 . 896236 . 896137 . 896038 . 895939 . 895840 . 895741 . 895641 1.65 1.63 1.65 1.65 1.65 1.65 1.65 1.65 1.67 9. 892810 . 893070 . 893331 . 893591 . 893851 . 894111 . 894372 . 894632 . 894892 . 895152 4.33 4.35 4.33 4.33 4.33 4.35 4.33 4.33 4.33 10. 107190 . 106930 . 106669 . 106409 . 106149 . 105889 . 105628 . 105368 . 105108 . 104848 60 59 58 57 56 55 54 53 52 51 10 . 790954 2.68 2.68 . 895542 1.65 1.65 . 895412 4. 33 4.33 . 104588 50 11 12 9. 791115 . 791275 2.67 2 Aft 9. 895443 . 895343 1.67 ftJC 9. 895672 . 895932 4.33 4OQ 10. 104328 . 104068 49 48 13 .791436 . Oo 2O9 . 895244 . OO . 896192 . OO A O.Q . 103808 47 14 15 . 791596 . 791757 . O/ 2.68 2fC7 . 895145 . 895045 '.67 ("J .896452 . 896712 4. oo 4.33 A 7.O .103548 . 103288 46 45 16 17 18 19 20 . 791917 . 792077 . 792237 . 792397 . 792557 . O/ 2.67 2.67 2.67 2.67 2.65 . 894945 . 894846 . 894746 . 894646 . 894546 . 0* .65 .67 .67 .67 .67 . 896971 . 897231 . 897491 . 897751 . 898010 4. O Z 4.33 4.33 4.33 4.32 4.33 . 103029 . 102769 . 102509 . 102249 . 101990 44 43 42 41 40 21 9. 792716 9. 894446 AT 9. 898270 A QQ 10. 101730 39 22 23 24 25 26 27 28 29 30 . 792876 . 793035 . 793195 . 793354 . 793514 . 793673 . 793832 . 793991 . 794150 2.' 65 2.67 2.65 2.67 2.65 2.65 2.65 2.65 2.63 . 894346 . 894246 . 894146 . 894046 . 893946 . 893846 . 893745 . 893645 . 893544 . O/ .67 .67 .67 .67 .67 .68 .67 .68 .67 . 898530 . 898789 . 899049 . 899308 . 899568 . 899827 .900087 . 900346 .900605 4. oo 4.32 4.33 4.32 4.33 4.32 4.33 4.32 4.32 4.32 . 101470 . 101211 . 100951 . 100692 . 100432 . 100173 .099913 . 099654 .099395 38 37 36 35 34 33 32 31 30 31 32 33 34 35 36 37 38 39 40 9. 794308 . 794467 . 794626 . 794784 . 794942 . 795101 . 79.52.59 . 795417 . 795575 . 795733 2.65 2.65 2.63 2.63 2.65 2.63 2.63 2.63 2.63 2.63 9. 893444 . 893343 . 893243 . 893142 . 893041 . 892940 .892839 . 892739 . 892638 . 892536 .68 .67 .68 .68 .68 .68 .67 .68 .70 .68 9. 900864 . 901124 . 901383 . 901642 .901901 .902160 .902420 . 902679 . 902938 .903197 4.33 4.32 4.32 4.32 4.32 4.33 4.32 4.32 4.32 4.32 10. 099136 .098876 . 098617 .098358 . 098099 . 097840 . 097580 . 097321 . 097062 .096803 29 28 27 26 25 24 23 22 21 20 41 9. 795891 9. 892435 9. 903456 10. 096544 19 42 .796049 2.63 o f;o . 892334 .68 AC .903714 4.30 . 096286 18 43 . 796206 1. ' '-. . 892233 . . Oo AQ . 903973 , oo .096027 17 44 45 . 796364 . 796.521 2! 62 2AQ . 892132 . 892030 . Oo .70 AQ . 904232 . 904491 . . O 6 ^.32 . 095768 .095509 16 15 46 47 .796679 .796836 . Do 2.62 . 891929 . 891827 . UO 1.70 . 904750 .905008 05 .880397 .880289 . 880180 . SU 1.80 1.82 1.80 1.80 1.80 1.82 1OA . 932010 . 932266 . 932522 . 932778 . 933033 . 933289 . 933545 4. 25 4.27 4.27 4.27 4.25 4.27 4.27 . 067990 . 067734 . 067478 . 067222 .066967 .066711 .066455 28 27 26 25 24 23 22 39 40 .813872 . 814019 . 4o 2.45 2.45 .880072 .879963 . oO 1.82 1.80 . 933800 . 934056 4. 25 4.27 4.25 .066200 .065944 21 20 41 9. 814166 9. 879855 9. 934311 10. 065689 19 42 43 44 45 46 47 48 . 814313 .814460 . 814607 . 814753 . 814900 . 815046 .815193 2. 45 2.45 2.45 2.43 2.45 2.43 2.45 2ylO . 879746 . 879637 . 879529 . 879420 .879311 . 879202 .879093 1.82 1.82 1.80 1.82 1.82 1.82 1.82 Ico . 934567 . 934822 . 935078 . 935333 . 935589 . 935844 . 936100 4.27 4.25 4.27 4.25 4.27 .25 .27 .065433 .065178 .064922 . 064667 . 064411 . 064156 .063900 18 17 16 15 14 13 12 49 50 . 815339 .815485 . 4o 2.43 . 878984 . 878875 . o& 1.82 .936355 . 936611 297 . 872885 . OO 100 . 950371 . ZO 499. . 049629 16 45 . 823397 . o/ . 872772 . OO . 950625 . 2,6 . 049375 15 46 47 . 823539 . 823680 2. 37 2.35 .872659 . 872.547 1.88 1.87 . 950879 . 951133 4.23 4.23 . 049121 . 048867 14 13 48 . 823821 2. 35 297 . 872434 1.88 . 951388 4. 25 . 048612 12 49 . 823963 . o7 . 872321 1. 88 . 951642 < . 23 . 048358 11 50 .824104 2. 35 2.35 . 872208 1.88 1.88 . 951896 '. .23 .23 . 048104 10 51 9.824245 2 OK 9. 872095 Ion 9. 952150 10. 047850 9 52 53 . 824386 .824527 . OO 2.35 2OC . 871981 . 871868 . yu 1.88 ICQ . 952405 . 952659 !23 OQ . 047595 . 047341 8 7 54 . 824668 . OO . 871755 . oo . 952913 . Zo oo . 047087 6 55 56 .824808 . 824949 2. 35 . 871641 . 871528 1. 90 1.88 . 953167 . 953421 . 2:6 4.23 . 046833 . 046579 5 4 57 58 59 60 . 825090 . 825230 . 825371 9.825511 2. 35 2.33 2.35 2.33 .871414 . 871301 . 871187 9. 871073 1.90 1.88 1.90 1.90 . 953675 . 953929 . 954183 9. 954437 4.23 4.23 4.23 4.23 . 046325 . 046071 . 045S17 10. 045563 3 2 1 ' Cosine. D. 1". Sine. D. I". Cotang. D. 1". Tang. ' 131' 48 IfiS 42 c TANGENTS, AND COTANGENTS. 137' ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. / 9.825511 200 9. 871073 1OO 9. 954437 4 9^ 10. 045563 60 1 . 825651 . oo 200 . 870960 . OO Ion . 954691 4. Zo 4 OF: . 045309 59 2 3 . 825791 . 825931 . oo 2.33 200 . 870846 . 870732 . yu 1.90 Inn . 954946 . 955200 . Zo 4.23 400 . 045054 . 044800 58 57 4 5 G 7 8 9 10 . 826071 .826211 . 826351 . 826491 . 826631 . 826770 . 826910 . oo 2.33 2.33 2.33 2.33 2.32 2.33 2.32 . 870618 . 870504 . 870390 . 870276 . 870161 . 870047 . 869933 . yu 1.90 1.90 1.90 1.92 1.90 1.90 1.92 . 955454 . 955708 . 955961 . 956215 . 956469 . 956723 . 956977 . Zo 4.23 4.22 4.23 4.23 4.23 4.23 4.23 . 044546 . 044292 . 044039 . 043785 . 043531 . 043277 . 043023 56 55 54 53 52 51 50 11 12 13 9. 827049 .827189 . 827328 2.33 2.32 2QO 9. 869818 . 8H9704 . 869589 1.90 1.92 100 9. 957231 . 957485 . 957739 4.23 4.23 4O*J 10. 042769 . 042515 . 042261 49 48 47 14 15 16 17 18 19 20 . 827467 . 827606 . 827745 . 827884 . 828023 . 828162 . 828301 . ' >L 2.32 2.32 2.32 2.32 2.32 2.32 2.30 . 869474 . 869360 . 869245 . 869130 . 869015 . 868900 .868785 . \x& 1.90 1.92 1.92 1.92 1.92 1.92 1.92 . 957993 . 958247 . 958.500 . 958754 . 959008 . 959262 . 959516 :. -> 4.23 4.22 4.23 4.23 4.23 4.23 4.22 .042007 .041753 . 041500 . 041246 . 040992 . 040738 . 040484 46 45 44 43 42 41 40 21 22 9. 828439 . 828578 2.32- 2 on 9. 868670 . 868555 1.92 100 9. 959769 . 960023 4.23 oo 10. 040231 . 039977 39 38 23 24 . 828716 . 828855 . oU 2.32 2 on . 868440 . 868324 . vr2i 1.93 1CK) . 960277 . 960530 '. . 2,6 .22 OQ . 039723 . 039470 37 36 25 26 . 828993 . 829131 . ou 2.30 2 on . 868209 . 868093 . yz 1.93 100 . 960784 . 961038 . 6 .23 OQ . 039216 . 038962 35 34 27 . 829269 . oU 2 on . 867978 . y/ 1QO . 961292 . ZO . 038708 33 28 29 30 . 829407 . 829545 .829683 . ou 2.30 2.30 2.30 . S67862 . 867747 . 867631 . \)6 1.92 1.93 1.93 . 961545 . 961799 .962052 . 22 4.23 4.22 4.23 . 038455 . 038201 . 037948 32 31 30 31 32 33 34 35 36 37 38 39 40 9. 829821 . 829959 .830097 . 830234 .830372 .830509 .830646 . 830784 . 830921 . 831058 2.30 2.30 2.28 2.30 2.28 2.28 2.30 2.28 2.28 2.28 9. 867515 . 867399 . 867283 . 867167 . 867051 . 866935 .866819 . 866703 .866586 . 866470 1.93 1.93 1.93 1.93 1.93 1.93 1.93 1.95 1.93 1.95 9. 962306 . 962560 . 962813 . 963067 . 963320 . 963574 . 963828 . 964081 . 964335 .964588 4.23 4.22 4.23 4.22 4.23 4.23 4.22 4.23 4.22 4.23 10. 037694 . 037440 . 037187 . 036933 . 036680 .036426 . 036172 .035919 . 035665 .035412 29 28 27 26 25 24 23 22 21 20 41 42 43 9.831195 . 831332 . 831469 2.28 2.28 o oo 9. 866353 . 866237 . 866120 1.93 1.95 IftO 9. 964842 . 965095 . 965349 4.22 4.23 10. 035158 . 034905 . 034651 19 18 17 44 45 46 47 48 49 50 . 831606 . 831742 . 831879 . 832015 . 832152 . 832288 . 832425 Z* ^o 2.27 2.28 2.27 2.28 2.27 2.28 2.27 . 866004 . 865887 . 865770 .865653 . 865536 . 865419 . 865302 . y.i 1.95 1.95 1.95 1.95 1.95 1.95 1.95 .965602 . 965855 . 966109 .966362 . 966616 . 966869 . 967123 4. 22 4.22 4.23 4.22 4.23 4.22 4.23 4.22 . 034398 .034145 . 033891 . 033638 . 033384 . 033131 . 032877 16 15 14 13 12 11 10 51 EC) 53 54 55 56 57 58 59 60 9. 832561 . 832697 . 832833 . 832969 .833105 . 833241 .833377 .833512 . 833648 9. 833783 2.27 2.27 2.27 2.27 2.27 2.27 2.25 2.27 2.25 9. 865185 . 865068 . 864950 . 864833 . 864716 . 864598 . 864481 . 864363 . 864245 9. 864127 1.95 1.97 1.95 1.95 1.97 1.95 1.97 1.97 1.97 9. 967376 . 967629 . 967883 . 968136 . 968389 . 968643 . 968896 . 969149 . 969403 9. 969656 4.22 4.23 4.22 4.22 4.23 4.22 4.22 4.23 4.22 10. 032624 . 032371 . 032117 . 031864 .031611 . 031357 .031104 . 030851 .030597 10. 030344 9 8 7 6 5 4 3 2 1 ' Cosine. D. 1". Sine. D. I". Cotang. D. 1". Tang. ' 133 c 47' 169 43 TABLE 9.-LOGARITHMIC SINES, COSINES, 136 ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 1 2 3 4 9. 833783 . 833919 . 834054 . 834189 . 834325 2.27 2.25 2.25 2.27 9 9^ 9. 864127 . 864010 . 863892 . 863774 . 863656 1.95 1.97 1.97 .97 Q7 9. 969656 .969909 . 970162 . 970416 . 970669 4.22 4.22 4.23 4.22 10. 030344 .030091 . 029838 .029584 . 029331 60 59 58 57 56 5 . 834460 Z. _ ) . 863538 . '/ . 970922 3. ZZ . 029078 55 6 . 834595 2. 25 29^ . 863419 .98 Q7 .971175 4.22 A 9. .028825 54 7 . 834730 . ZO 9 9^ .863301 i * ' Q7 . 971429 *. Zo 499 .028571 53 8 .834865 - . - ' 200 .863183 . y/ no . 971682 . zz .028318 52 9 10 . 834999 .835134 . Zo 2.25 2.25 . 863064 . 862946 . yo .97 .98 . 971935 . 972188 4. 22 4.22 4.22 .028065 . 027812 51 50 11 12 9. 835269 . 835403 2.23 9. 862827 . 862709 .97 9. 972441 . 972695 4.23 10. 027559 . 027305 49 48 13 . 835538 2. 25 200 . 862590 . 98 . 972948 4. 22 . 027052 47 14 . 835672 . 26 . 862471 . . 98 . 973201 4. 22 . 026799 46 15 16 . 835807 .835941 2. 25 2.23 . 862353 . 862234 '.98 . 973454 . 973707 4. 22 4.22 . 026546 . 026293 45 44 17 18 19 . 836075 .836209 . 836343 2. 23 2.23 2.23 9 9Q . 862115 . 861996 . 861877 !98 .98 . 973960 .974213 . 974466 4. 22 4.22 4.22 400 . 026040 . 025787 .025534 43 42 41 20 . 836477 _ . Zo 2.23 . 861758 2. 00 . 974720 . Zo 4.22 . 025280 40 21 9.836611 9. 861638 9. 974973 10. 025027 39 22 . 836745 2. 23 o 09 .861519 1. 98 . 975226 * 4. 22 A 99 . 024774 38 23 24 . 836878 . 837012 2. 23 29Q . 861400 . 861280 2. 00 . 975479 . 975732 4. ZZ 4.22 499 . 024521 . 024268 37 36 25 26 27 28 29 30 . 837146 . 837279 . 837412 . 837546 . 837679 . 837812 . - - > 2.22 2.22 2.23 2.22 2.22 2.22 . 861161 .861041 .860922 . 860802 . 860682 . 860562 2. 00 1.98 2.00 2.00 2.00 2.00 . 975985 . 976238 . 976491 . 976744 . 976997 . 977250 :. ZZ 4.22 4.22 4.22 4.22 4.22 4.22 .024015 . 023762 . 023509 . 023256 .023003 . 022750 35 34 33 32 31 30 31 32 33 34 35 36 37 38 39 40 9. 837945 . 83078 . 838211 ! 838*77 .838610 . 838742 .838875 .839007 .839140 2.22 2.22 2.22 2.22 2.22 2.20 2.22 2.20 2.22 2.20 9. 860442 . 860322 .860202 .860082 . 859962 .859842 . 859721 . 859601 . 859480 . 859360 2.00 2.00 2.00 2.00 2.00 2.02 2.00 2.02 2.00 2.02 9. 977503 . 977756 .978009 . 978262 . 978.515 . 978768 . 979021 . 979274 . 979527 . 979780 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 10. 022497 . 022244 . 021991 . 021738 . 021485 . 021232 . 020979 . 020726 . 020473 .020220 29 28 27 26 25 24 23 22 21 20 41 42 43 44 9. 839272 . 839404 . 839536 . 839668 2.20 2.20 2.20 9. 859239 . 859119 .858998 . 858877 2.00 2.02 2.02 9.980033 . 980286 . 980538 . 980791 4.22 4.20 4.22 10. 019967 . 019714 . 019462 . 019209 19 18 17 16 45 46 47 48 49 50 . 839800 . 839932 . 840064 . 840196 . 840328 .840459 2. 20 2.20 2.20 2.20 2.20 2.18 2.20 . 858756 . 858635 .858514 .858393 . 858272 . 858151 2. 02 2.02 2.02 2.02 2.02 2.02 2.03 . 981044 . 981297 . 981550 .981803 . 982056 . 982309 4. 22 4.22 4.22 4.22 4.22 4.22 4.22 . 018956 . 018703 . 018450 . 018197 . 017944 .017691 15 14 13 12 11 10 51 52 53 9. 840591 . 840722 . 840854 2.18 2.20 9. 858029 . 857908 .857786 2.02 2.03 2 no 9. 982562 . 982814 .983067 .20 .22 99 10. 017438 . 017186 . 016933 9 8 7 54 55 .840985 .841116 2. 18 2.18 21 Q . 857065 . 857543 . (fZ 2.03 2 no . 983320 . 983573 * . -- .22 , 99 . 016680 . 016427 6 5 56 . 841247 . lo . 857422 . (jZ 2rxo . 983826 . ZZ . 99 .016174 4 57 58 . 841378 . 841509 2. 18 2.18 2 1C . 857300 . 857178 . 06 2.03 200 . 984079 . 984332 <'.22 . on . 015921 . 015668 3 2 59 60 . 841640 9. 841771 . lo 2.18 . 857056 9. 856934 . Uo 2.03 . 984584 9. 984837 * . Z\) .22 .015416 10. 015163 1 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 133 170 44' TANGENTS, AND COTANGENTS. 135 C ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 1 9.841771 .841902 2.18 21Q 9. 856934 . 856812 2.03 2AQ 9. 984837 .985090 4.22 499 10. 015163 .014910 60 59 2 3 4 6 .842033 .842163 .842294 . 842424 . lo 2.17 2.18 2.17 . 856690 .856568 . 856446 . 856323 . Uo 2.03 2.03 2.05 . 985343 . 985596 . 985848 . 986101 . ~-i 4.22 4.20 4.22 . 014657 . 014404 .014152 .013899 58 57 56 55 6 7 . 842555 .842685 2. 18 2.17 217 . 856201 .856078 2. 03 2.C5 2 no . 986354 . 986607 4. 22 4.22 499 .013646 .013393 54 53 8 9 . 842815 .842946 . I/ 2.18 217 . 855956 . 855833 . Uo 2.05 2HQ . 986860 .987112 . - -r 4.20 499 .013140 .012888 52 51 10 .843076 . I/ 2.17 . 855711 . UO 2.05 . 987365 :. it 4.22 .012635 50 11 9. 843206 217 9.855588 2nC 9. 987618 4 99 10.012382 49 12 13 .843336 .843466 . I/ 2.17 21 K, . 855465 . 855342 . UO 2.05 2n . 987871 . 988123 4. 4.20 499 .012129 .011877 48 47 14 15 .843595 . 843725 . lo 2.17 21 7 .855219 .855096 . UO 2.05 2 AC .988376 . 988629 . ~ w 4.22 499 .011624 .011371 46 45 16 17 .843855 . 843984 . 1< 2.15 217 .854973 .854850 . UO 2.05 2nC .988882 . 989134 . - w 4.20 499 .011118 .010866 44 43 18 19 20 .844114 . 844243 .844372 . I/ 2.15 2.15 2.17 . 854727 .854603 . 854480 . UO 2.07 2.05 2.07 .989387 . 989640 . 989893 . ii 4.22 4.22 4.20 .010613 .010360 .010107 42 41 40 21 22 23 24 25 26 27 9. 844502 . 844631 .844/60 .844889 . 845018 .845127 . 845276 2.15 2.15 2.15 2.15 2.15 2.15 21 c 9.854356 . 854233 . 854109 . 853986 .853862 . 853738 . 853614 2.05 2.07 2.05 2.07 2.07 2.07 2A7 9. 990145 . 990398 .990651 . 990903 . 991156 .991409 . 991662 4.22 4.22 4.20 4.22 4.22 4.22 4 on 10.009855 . 009602 .009349 .009097 .008844 .008591 .008338 39 38 37 36 35 34 33 28 29 . 845405 . 845533 . lo 2.13 21 CC . 853490 .853366 . U/ 2.07 2H7 .991914 . 992167 . /U 4.22 499 .008086 .007833 32 31 30 .845662 . lo 2.13 .853242 - U/ 2.07 .992420 . ii 4.20 .007580 30 31 9. 845790 21 9.853118 O A7 9. 992672 499 10.007328 29 32 33 34 . 845919 .846047 . 846175 . 10 2.13 2.13 OIK .852994 .852869 .852745 Z. \)i 2.08 2.07 O AQ . 992925 . 993178 .993431 . -i-i 4.22 4.22 4 on .007075 .006822 .006569 28 27 26 35 . 846304 K 15 21 Q . 852620 6. US 2fi7 . 993683 . &J 499 .006317 25 36 37 .846432 . 846560 . lo 2.13 21 Q . 852496 .852371 . Ol 2.08 2H7 . 993936 . 994189 . 4.22 49A .006064 .005811 24 23 38 39 . 846688 . 846816 . lo 2.13 21 9 .852247 .852122 . U/ 2.08 2C\Q . 994441 . 994694 . -' J 4.22 499 .005559 .005306 22 21 40 .846944 . lo 2.12 .851997 Uo 2.08 .994947 . & 4.20 .005053 20 41 42 9. 847071 .847199 2.13 21 o 9.851872 .851747 2.08 2 no 9. 995199 . 995452 4.22 4 99 10.004801 .004548 19 18 43 44 . 847327 . 847454 . lo 2.12 .851622 .851497 . Uo 2.08 . 995705 . 995957 4. & 4.20 400 . 004295 .004043 17 16 45 46 47 . 847582 .847709 . 847836 2. 13 2.12 2.12 21 Q .851372 .851246 .851121 2. 08 2.10 2.08 2 no . 996210 .996463 . 996715 . ll 4.22 4.20 49O . 003790 .003537 . 003285 15 14 13 48 49 .847964 .848091 . lo 2.12 2 1O .850996 . 850870 . Uo 2.10 2AQ . 996968 . 997221 * Zti 4.22 4OA . 003032 . 002779 12 11 50 .848218 . 1-J 2.12 .850745 . Uo 2.10 .997473 . -U 4.22 .002527 10 51 52 53 54 55 56 9.848345 . 848472 .848599 . 848726 .848852 .848979 2.12 2.12 2.12 2.10 2.12 9. 850619 . 850493 .850368 . 850242 .850116 .849990 2.10 2.08 2.10 2.10 2.10 9. 997726 . 997979 .998231 . 998484 .998737 . 998989 4.22 4.20 4.22 4.22 4.20 10.002274 .002021 . 001769 .001516 .001263 .001011 9 8 7 6 5 4 57 58 . 849106 .849232 2. 12 2.10 219 .849864 . 849738 2. 10 2.10 210 . 999242 . 999495 4. 22 4.22 490 .000758 .000505 3 2 59 .849359 . L.I .849611 . i^ . 999747 . &\j .000253 1 60 9.849485 2. 10 9.849485 2.10 10.000000 4. 22 10.000000 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 134' 45 e 171 TABLE 10.-LOGARITHMS OF NUMBERS. No. 100 L. 000.] [No. 109 L. 040. N. 1 2 3 456 7 8 9 Diff. 100 000000 0434 0868 1301 1734 2166 2598 3029 3461 3891 432 1 2 4321 8600 4751 5181 9026 9451 5609 9876 6038 6466 6894 7321 7748 8174 428 030ft 0794 1 1 47 1 941 ^ 3 012837 3259 3680 4100 UoiJU v/^M J.14/ 4521 4940 5360 5779 6197 ^10 6616 420 4 7033 7451 7868 8284 8700 9116 9532 9947 0361 0775 416 5 021189 1603 2016 2428 2841 3252 3664 4075 4486 4896 412 6 5306 5715 6125 6533 6942 7350 7757 8164 8571 8978 408 7 9384 9789 0195 OflOO i nn j. i j.nft i s 1 9 991 fi 2619 3021 404 8 g 033424 7426 3826 4227 7825 8223 uouu 4628 8620 lUU-i l-JUo 1O1Z 5029 5430 5830 9017 9414 9811 6230 6629 7028 4U4 400 04 0207 0602 0998 397 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 434 43.4 86.8 130. 2 173.6 217.0 260.4 303.8 347.2 390. 6 433 43.3 86.6 129.9 173.2 216.5 259.8 303. 1 346.4 389.7 432 43.2 86.4 129. 8 172 .8 216.0 259.2 302. 4 34 5.6 3 88.8 431 43.1 86.2 129. 3 172.4 215.5 258.6 301. 7 344.8 387.9 430 43.0 86.0 129. o 172 .0 215.0 258.0 301. 34 4.0 3 87.0 429 42.9 85.8 128. 7 171 .8 214.5 257.4 300. 3 34 3.2 3 86.1 428 42.8 85.6 128.4 171. 2 214.0 256.8 299.6 342.4 385.2 427 42.7 85.4 128. 1 17C .8 213.5 256.2 298. 9 34 1.6 3 84.3 426 42.6 85.2 127. 8 170.4 213.0 255.6 298.2 340.8 383.4 425 42.5 85.0 127. 5 170.0 212.5 255.0 297.5 340.0 382.5 424 42.4 84.8 127. 2 16S .8 212.0 254.4 296.8 339.2 381.6 423 42.3 84.6 126.9 169. 2 211.5 253.8 296.1 338.4 380.7 422 42.2 84.4 126. 6 168 .8 211.0 253.2 295. 4 33 7.6 3 79.8 421 42.1 84 2 126.3 168.4 210.5 252.6 294. 7 336.8 378.9 420 42.0 84.0 126. 168 .0 210.0 252.0 294. 33 6.0 3 78.0 419 41.9 83.8 125. 7 16' .6 209.5 251.4 293. 3 33 5.2 3 77.1 418 41.8 83.6 125.4 167.2 209.0 250.8 292. 6 334.4 376.2 417 41.7 83.4 125. 1 16( .8 208.5 250.2 291. 9 33 3.6 3 75.3 416 41.6 83.2 124. 8 16( .4 208.0 249.6 291. 2 33 2.8 3 74.4 415 41.5 83.0 124. 5 166.0 207.5 249.0 290.5 332.0 373.5 414 41.4 82.8 124. 2 165.6 207.0 248.4 289. S 331.2 372.6 413 41.3 82.6 123.9 165.2 206.5 247.8 289. 1 330.4 371.7 412 41.2 82.4 123. (i 164 .8 206.0 247.2 288. 4 32 9.6 3 70.8 411 41.1 82.2 123. 3 164 .4 205.5 246.6 287. 7 32 8.8 3 69.9 410 41.0 82.0 123.0 164.0 205.0 246.0 287.0 328.0 369.0 409 40.9 81.8 122 7 16C (.6 204.5 245.4 286. 3 32 7.2 3 68.1 408 40.8 81.6 122. 4 IK 1.2 204.0 244.8 285. (3 32 6.4 3 67.2 407 40.7 81.4 122. 1 162.8 203.5 244.2 284. 9 325.6 366.3 406 40.6 81.2 121. 8 163 5.4 203. 243.6 284. 2 32 4.8 3 65.4 405 40.5 81.0 121 5 162.0 202.5 243.0 283.5 324.0 364.5 404 40.4 80.8 121 2 161.6 202.0 242.4 282.8 323.2 363.6 403 40.3 80.6 120 9 16] L.2 201.5 241.8 282. 1 32 2.4 3 62.7 402 40.2 80.4 120.6 160.8 201.0 241.2 281.4 321.6 361.8 401 40.1 80.2 120 3 1 ).4 200.5 240. 6 280. 1 32 0.8 3 60.9 400 40.0 80.0 120 16( 1.0 200.0 240.0 280. 32 0.0 3 60.0 399 39.9 79.8 119.7 159.6 199.5 239.4 279.3 319.2 359.1 398 39.8 79.6 119 4 15< t.2 199.0 238.8 278. 6 31 8.4 3 58.2 397 39.7 79.4 119 1 Itt J.8 198.5 238. 2 277. 9 31 7.6 3 57.3 396 39.6 79.2 118.8 158.4 198.0 237.6 277.2 316.8 356.4 395 39.5 79.0 118.5 158.0 197.5 237.0 276.5 316.0 355.5 172 TABLE 10. LOGARITHMS OF NUMBERS. No. 110 L. 041.] [No. 119 L. 078. N. 1 2 3 4 5 6 7 8 9 Diff. 110 041393 1787 2182 2576 2909 3362 3755 4148 4540 4932 393 1 2 5323 9218 5714 9000 6105 9993 6495 6885 7275 7664 8053 8442 8830 390 y^io 0380 0766 1153 1538 1924 2309 2694 386 3 053078 3463 3846 4230 4613 4996 5378 5760 6142 6524 383 4 6905 7286 7666 8046 8426 8805 9185 9563 9942 0320 379 5 060698 1075 1452 1829 2206 2582 2958 3333 3709 4083 376 6 4458 8186 4832 8557 5206 8928 5580 9298 5953 9668 6326 6099 7071 7443 7815 373 00^8 0407 1 .. 1514 370 8 071882 2250 2017 2985 3352 UUoo 3718 U4-U/ 4085 4451 4816 5182 366 9 5547 5912 6276 6640 7004 7308 7731 8094 8457 8819 363 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 395 39.5 79.0 118.5 158.0 197.5 237.0 276. 5 316.0 355.5 394 39.4 78. J I 118. 2 15- '.0 1 97.0 236. 4 275. 8 31 5.2 354.6 393 39.3 7S.6 117 9 157.2 196.5 235. 8 275.1 314.4 353.7 392 39.2 78.' 1 117 15( 1.8 1 90.0 235.2 274. 4 3] 3.6 352.8 391 39.1 78.2 117. 3 156.4 195.5 234.6 273. 7 312.8 351.9 390 39.0 78. ( ) 117 15( i.O 1 95.0 234.0 273. 31 2.0 351.0 389 38.9 77.8 116. 7 155.6 194.5 233. 4 272. 311.2 350.1 388 38.8 77. ( i 116 4 15, ).2 1 94.0 232.8 271. 31 0.4 349. 2 387 38.7 77.^ I 116.1 154.8 193.5 232.2 270. 9 309.6 348.3 386 38.6 77.1 > 115 8 15; 1.4 1 93.0 231.6 270. 2 3C 8.8 347.4 385 38.5 77.0 115.5 154.0 192.5 231.0 269. 5 3C 8.0 346.5 384 38.4 76.8 115 9 153.6 192.0 230. 4 268. 8 307.2 345.6 383 38.3 76.6 114 9 153.2 191.5 229.8 208. 1 306. 4 344.7 382 38.2 76.; I 114 15' 2.8 1 91.0 229.2 267. 4 3C 5.6 343.8 381 38.1 76.2 114 3 152.4 190.5 228.6 266. 7 304.8 342.9 380 38.0 76. ( ) 114 15 2.0 1 90.0 228.0 266. 3C 4.0 342.0 379 37.9 75.8 113.7 151.6 ] 89.5 227.4 265. 3 303.2 341.1 378 37.8 75. | 113 4 15 L.2 ; i 89.0 226.8 264. 3( 2.4 340.2 377 37.7 75. t 113 1 15( ).8 i 88.5 226.2 263. 9 3C 1.6 339.3 376 37.6 75.2 112.8 150.4 188.0 225.6 203. 2 300.8 338. 4 375 37.5 75.0 112.5 150.0 187.5 225.0 262. 5 300.0 337. 5 374 37.4 74.8 112.2 149.6 187.0 224.4 261. 8 299.2 336.6 373 37.3 74. 5 111 9 14 t.2 1 86.5 223.8 261. 1 2f 8.4 335.7 372 37.2 74.4 111 6 148.8 186.0 223.2 260. 4 297.6 334.8 371 37.1 74. 2 111 3 14 S.4 1 85.5 222.6 259. 7 2< (6.8 333.9 370 37.0 74. \ 111 14 vO 1 85.0 222.0 259 2< )6.0 333.0 309 36.9 73. S 110 7 147.6 184.5 221. i 258. 3 295.2 332.1 308 36.8 73. > 110 4 14 r.2 1 84.0 220.8 257 6 2< )4.4 331.2 367 36.7 73.4 110 1 146.8 183.5 220.2 256.9 293.6 330.3 366 36.6 73. 2 109 8 14 14 1 83.0 219. 6 256 2 2{ )2.8 329.4 365 36.5 73.0 109 5 146.0 182.5 219.0 255.7 292.0 328.5 364 36.4 72.8 109 2 145.6 182.0 218.4 254 8 291.2 327.6 363 36.3 72. i 108 9 14 r >. 2 ] 81.5 217.8 254 1 2< )0.4 326.7 362 36.2 72. 1 108.6 144.8 181.0 217.2 253 4 289.6 325.8 361 36.1 72. 2 108 3 14 1.4 1 80.5 216.0 252 7 2? 58.8 324.9 360 36.0 72. 108 14 1.0 ] 80.0 210.0 252 2? 58.0 324.0 359 35.9 71. 8 107 7 143.6 179.5 215.4 251 3 287.2 323.1 358 35.8 71. i 107 4 14 5.2 1 79.0 214.8 250 6 2* 56.4 322.2 357 35.7 71. 4 107 .1 142.8 178.5 214.2 249 9 285.6 321.3 356 35.6 71. 2 106 .8 142.4 178.0 213.6 249.2 284.8 320.4 173 TABLE 10. LOGARITHMS OF NUMBERS. No. 120 L. 079.] [No. 134 L. 130. N. 1 2 3 4 5 6 1 _!_|_!_ Diff. 070181 QCJ10 9904 u/y yoio 0206 0626 0987 1347 1707 2067 2420 300 1 082785 3144 3503 3861 4219 4576 4934 5291 5047 (5004 357 2 6300 990o 6716 7071 7426 7781 8136 8490 8845 9198 9552 355 0258 or 11 0963 1315 1667 2018 2370 2721 3071 352 4 093422 3772 4122 4471 4820 5169 5518 5806 6215 6562 349 7MO1 8044 8990 9335 9081 uy ' ' /OU ' J 0026 346 6 100371 0715 1059 1403 1747 2091 2434 2777 3119 3462 343 7 3804 79in 4146 4487 7000 4828 8227 5109 8565 5510 5851 9241 6191 9579 6531 9916 6871 341 / \\j /o4y { ooo 0253 338 9 110590 0926 1263 1599 1934 2270 2005 2940 3275 3609 335 130 3943 7971 4277 7AHQ 4611 /934 4944 8205 5278 8595 5611 8926 5943 9256 6276 9586 6608 9915 6940 333 i ~ i 1 /OUo 0245 330 2 120574 0903 1231 1500 1888 2216 2544 2871 3198 3525 328 3 3852 710*1 4178 4504 77^0 4830 8076 5156 8399 5481 8722 5806 9045 6131 9368 6456 9690 6781 325 / 1UO 13 / /oo 0012 323 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 355 35.5 71.0 106.5 142.0 177.5 213. 248.5 284.0 319.5 354 35.4 70.8 106.2 141.6 177.0 212.4 247.8 2 3.2 318.6 353 35.3 70.6 105.9 141.2 176.5 211.8 247.1 282.4 317.7 352 35.2 70.4 105.6 140.8 176.0 211.2 246.4 2S 1.6 316.8 351 35.1 70.2 105.3 140.4 175.5 210.6 245.7 280.8 315.9 350 35.0 70.0 105.0 140.0 175.0 210.0 245.0 2 0.0 315.0 349 34.9 69.8 104.7 139.6 174.5 209.4 244.3 27 9.2 314.1 348 34.8 69.6 104.4 139.2 174.0 208.8 243.6 278.4 313.2 347 34.7 69.4 104.1 138.8 173.5 208.2 242.9 27 7.6 312.3 346 34.6 69.2 103.8 138.4 173.0 207.6 242. 2 276.8 311.4 345 34.5 69.0 103.5 138.0 172.5 207.0 241.5 276.0 310.5 344 34.4 68.8 103.2 137.6 172.0 206.4 240.8 275.2 309.6 343 34.3 68.6 102.9 137.2 171.5 205.8 240.1 27 4.4 308.7 342 34.2 68.4 102.6 136.8 171.0 205. 2 239. 4 27 3.6 307.8 341 34.1 68.2 102.3 136.4 170.5 204.6 238.7 272.8 306.9 340 34.0 68.0 102.0 136.0 170.0 204.0 238.0 27 2.0 306.0 339 33.9 67.8 101.7 135.6 169. 5 203.4 237.3 271.2 305.1 338 33.8 67.6 101.4 135.2 169.0 202.8 236.6 27 0.4 304.2 337 33.7 67.4 101.1 134.8 168.5 202.2 235.9 269. 6 303. 3 336 33.6 67.2 100.8 134.4 168.0 201.6 235.2 268.8 302.4 335 33.5 67.0 100.5 134.0 167. 5 201.0 234.5 208.0 301.5 334 33.4 66.8 100.2 133.6 167.0 200.4 233.8 267.2 300.6 333 33.3 66.6 99.9 133.2 166.5 199.8 233. 1 2d 6.4 299.7 332 33.2 66.4 99.6 132.8 166.0 199.2 232.4 265.6 298.8 331 33.1 66.2 99.3 132.4 165.5 198.6 231. 7 2( 4.8 297.9 330 33.0 66.0 99.0 132.0 165.0 198.0 231.0 2C 4.0 297.0 329 32.9 65.8 98.7 131.6 164.5 197.4 230. 3 263. 2 296.1 328 32.8 65.6 98.4 131.2 164.0 196.8 229.6 2f 2.4 295.2 327 32.7 65.4 98.1 130.8 103.5 196.2 228.9 261. 6 294.3 326 32.6 65.2 97.8 130. 4 103. 195.6 228.2 260. 8 293.4 325 32.5 65.0 97.5 130.0 102. 5 195.0 227. 5 260.0 292.5 324 32.4 64.8 97.2 129.6 102.0 194.4 220. 8 259.2 291.6 323 32.3 64.6 96.9 129.2 101.5 193. 8 226.1 21 8.4 290.7 322 32.2 64.4 96.6 128.8 161.0 193.2 225.4 257.6 289.8 174 TABLE 10. LOGARITHMS OF NUMBERS. No. 135 L. 130.] [No. 149 L. 175. N. 1 2 3 4 5 6 7 8 9 Difl. 135 130334 0655 0977 1298 1619 1939 2260 2580 2900 3219 321 6 3539 3858 4177 4496 4814 5133 5451 5769 6086 6403 318 7 g 6721 9879 7037 7354 7671 7987 8303 8618 8934 9249 9564 316 01 Q4. ft^DR 0822 1136 1450 1763 2076 2389 2702 314 9 143015 uiy" uouo 3327 3639 3951 4263 4574 4885 5196 5507 5818 311 140 6128 no I n 6438 6748 QC97 ORQ 7058 7367 7676 7985 8294 8603 8911 309 . yjiy yoz< yooo 0142 0449 0756 1063 1370 1676 1982 307 2 1522S8 2594 2900 3205 3510 3815 4120 4424 4728 5032 305 3 5330 5640 5943 6246 6549 6852 7154 7457 7759 8061 303 ooj;o Qf\(\A kQjl^ 9266 9567 !)S6S OOO-i oOu' oyoo 0168 0469 0769 1068 301 5 161368 1667 1967 2266 2564 2863 3161 3460 3758 4055 299 6 4353 4650 4947 5244 5541 5838 6134 6430 6726 7022 297 7 7317 7613 7908 8203 8497 8792 9086 9380 9674 9968 295 8 170262 0555 0848 1141 1434 1726 2019 2311 2603 2895 293 9 3186 3478 3769 4060 4351 4641 4932 5222 5512 5802 291 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 321 32.1 64.2 96. 3 128.4 160.5 192.6 224. 7 256.8 288.9 320 32.0 64.0 96. 128.0 160.0 192.0 224. 256.0 288.0 319 31.9 63.8 95. 7 127 .C> 1 59.5 191.4 223. 3 25 5.2 287.1 318 31.8 63.6 95. 4 127.2 159.0 190.8 222. 8 254.4 286.2 317 31.7 63.4 95. 1 126 .8 1 58.5 190.2 221. g 25 3.6 285.3 316 31.6 63.2 94. 8 126 .4 1 58.0 189.6 221. 2 25 2.8 284.4 315 31.5 63.0 94. 5 126.0 157.5 189.0 220.5 252.0 283.5 314 31.4 62.8 94. 2 125 .6 1 57.0 188.4 219. 8 25 1.2 282. 6 313 31.3 62.6 93. 9 125.2 156.5 187.8 219.1 250.4 281.7 312 31.2 62.4 93. 6 124.8 156.0 187.2 218.4 249.6 280.8 311 31.1 62.2 93.3 124.4 155.5 186. 6 217. 7 248.8 279.9 310 31.0 62.0 93. 124 .0 1 55.0 186.0 217. 24 8.0 279.0 309 30.9 61.8 92. 7 123.6 154.5 185.4 216. 3 247.2 278T 1 308 30.8 61.6 92. 4 123 .2 1 54.0 , 184.8 215. (i 24 6.4 277.2 307 30.7 61.4 92. 1 122.8 153.5 184.2 214. !) 245.6 276.3 306 30.6 61.2 91. 8 122 .4 1 53.0 183.6 214. '2 24 4.8 275.4 305 30.5 61.0 91. 5 122 .0 1 52.5 183.0 213. ,') 24 4.0 274.5 304 30.4 60.8 91. 2 121 .6 152.0 182.4 212.8 243. 2 273.6 303 30.3 60.6 90. g 121 .2 1 51.5 181.8 212. 1 24 2.4 272.7 302 30.2 60.4 90. 6 120.8 151.0 181.2 211. 4 241.6 271.8 301 30.1 60.2 90. 3 120.4 150.5 180.6 210.7 240.8 270.9 300 30.0 60.0 90. 120 .0 1 50.0 180.0 210. 24 0.0 270.0 299 29.9 59.8 89. 7 119.6 149.5 179.4 209. 3 239.2 269.1 298 29.8 59.6 89. 4 119 .2 1 49.0 178.8 208. 6 23 8.4 268.2 297 29.7 59.4 89. 1 118 .8 1 48.5 178. 2 207. 9 23 7.6 267.3 296 29.6 59.2 88. 8 118.4 148.0 177.6 207. 2 236.8 266.4 295 29.5 59.0 88. 5 US .0 1 47.5 177. 206. 5 23 6.0 265.5 294 29.4 58.8 88. 2 117 .(I 1 47.0 176.4 205. S 23 5.2 264.6 293 29.3 58.6 87. g 117.2 146.5 175.8 205. 1 234.4 263.7 292 29.2 58.4 87.6 116.8 146.0 175.2 204. 4 233.6 262.8 291 29.1 58.2 87. 3 116.4 145.5 174.6 203.7 232.8 261.9 290 29.0 58.0 87. lie .0 1 45.0 174.0 203. 23 2.0 261.0 289 28.9 57.8 86. 7 111 .6 1 44.5 173.4 202. 3 23 1.2 260. 1 288 28.8 57.6 86.4 115.2 144.0 172.8 201.6 230.4 259.2 287 28.7 57.4 86. 1 114 .8 1 43.5 172.2 200. 9 22 9.6 258.3 286 28.6 57.2 85.8 114.4 143.0 171.6 200.2 228.8 257.4 175 TABLE 10. LOGARITHMS OF NUMBERS. No. 150 L. 176.] [No. 169 L. 230. N. 1 2 3 4 5 6 7 8 9 Diff. 150 176091 8977 6381 6670 9552 6959 9839 7248 7536 7825 8113 8401 8689 289 0126 0413 0699 0986 1272 1558 287 2 181844 2129 2415 2700 2985 3270 3555 3839 4123 4407 285 3 4 4691 7521 4975 7803 5259 8084 5542 8366 5825 8647 6108 8928 6391 9209 6674 9490 6956 9771 7239 283 5 2846 279 190332 0612 0892 1171 1451 1730 2010 2289 2567 6 3125 3403 3681 3959 4237 4514 4792 5069 5346 5623 278 7 5900 RftfV? 6176 8932 6453 9206 6729 9481 7005 9755 7281 7556 7832 8107 8382 276 oOO/ 0029 0303 0577 OcS50 1124 274 9 201397 1670 1943 2216 2488 2761 3033 3305 3577 3848 272 160 4120 4391 4663 4934 5204 5475 5746 6016 6286 6556 271 1 6826 7096 7365 7634 7904 8173 8441 8710 8979 9247 269 Q.-1 C 0700 yoio y/oo - 0051 0319 0586 0853 1121 1388 1654 1921 267 3 212188 2454 2720 2986 3252 3518 3783 4049 4314 4579 266 4 4844 5109 5373 5638 5902 6166 6430 6694 6957 7221 264 5 7484 7747 8010 8273 8536 8798 9060 9323 9585 9846 262 6 220108 0370 0631 0892 1153 1414 1675 1936 2196 2456 261 7 . 2716 2976 3236 3496 3755 4015 4274 4533 4792 5051 259 8 5309 5568 5826 6084 6342 6600 6858 7115 7372 7630 258 9 7887 8144 8400 8657 8913 9170 9426 9682 9938 23 0193 256 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 285 28.5 57.0 85.5 114.0 142.5 171.0 199.5 228.0 256.5 284 28.4 56.8 85.2 113.6 142.0 170.4 198.8 227.2 255.6 283 28.3 56.6 84.9 113.2 141.5 169.8 198.1 22>. 4 254.7 282 28.2 56.4 84.6 112.8 141.0 169.2 197.4 225. 6 253.8 281 28.1 56.2 84.3 112.4 140.5 168. 6 196. 7 224.8 252.9 280 28.0 56.0 84.0 112.0 140.0 168.0 196. 224.0 252.0 279 27.9 55.8 83.7 111.6 139.5 167.4 195. 3 223.2 251.1 278 27.8 55.6 83.4 111.2 139.0 166.8 194.6 222.4 250.2 277 27.7 55.4 83.1 110.8 138.5 166. 2 193.9 221.6 249.3 276 27.6 55.2 82.8 110.4 138.0 165.6 193.2 220.8 248.4 275 27.5 55.0 82.5 110.0 137.5 165.0 192.5 220.0 247.5 274 27.4' 54.8 82.2 109. 6 137.0 164.4 191.8 219.2 246.6 273 27.3 54.6 81.9 109.2 136.5 163.8 191.1 218.4 245.7 272 27.2 54.4 81.6 108.8 136. 163.2 190.4 217. 6 244.8 271 27.1 54.2 81.3 108.4 135.5 162.6 189.7 216.8 243.9 270 27.0 54.0 81.0 108.0 135.0 162.0 189.0 216.0 243.0 269 26.9 53.8 80.7 107. 6 134.5 161.4 188.3 215.2 242.1 268 26.8 53.6 80.4 107.2 134.0 160.8 187.6 214.4 241.2 267 26.7 53.4 80.1 106.8 133. 5 160.2 180. 9 213.6 240.3 266 26.6 53.2 79.8 106.4 133.0 159.6 186.2 212.8 239.4 265 26.5 53.0 79.5 106.0 132.5 159. 185. 5 212.0 238.5 264 26.4 52.8 79.2 105.6 132.0 158.4 184.8 211.2 237.6 263 26.3 52.6 78.9 105.2 131.5 157.8 184.1 210.4 236.7 262 26.2 52.4 78.6 104.8 131.0 157.2 183.4 209.6 235.8 261 26.1 52.2 78.3 104.4 130.5 156. 6 182.7 208.8 234.9 260 26.0 52.0 78.0 104.0 130.0 156.0 182. 208.0 234.0 259 25.9 51.8 77.7 103.6 129.5 155.4 181.3 207.2 233.1 258 25.8 51.6 77.4 103.2 129. 154.8 180.6 206.4 232.2 257 25.7 51.4 77.1 102.8 128.5 154.2 179.9 205.6 231.3 256 25.6 51.2 76.8 102.4 128.0 153.6 179.2 204.8 230.4 255 25.5 51.0 76.5 102.0 127.5 153.0 178.5 204.0 229.5 176 TABLE 10. LOGARITHMS OF NUMBERS. No. 170 L. 230.] [No. 189 L. 278. N. 1 2 3 4 5 6 7 8 9 Diff. 170 230449 0704 0960 1215 1470 1724 1979 2234 2488 2742 255 1 2996 3250 3504 3757 4011 4264 4517 4770 5023 5276 253 2 5528 5781 6033 6285 6537 6789 7041 7292 7544 7795 252 3 8046 8297 8548 8799 9049 9299 9550 9800 0050 0300 250 4 240549 0799 1048 1297 1546 1795 2044 2293 2541 2790 249 5 3038 3286 3534 3782 4030 4277 4525 4772 5019 5266 248 6 5513 5759 6006 6252 6499 6745 6991 7237 7482 7728 246 7 7973 8219 8464 8709 8954 9198 9443 9687 9932 0176 245 8 250420 0664 0908 1151 1395 1638 1881 2125 2368 2610 243 9 2853 3096 3338 3580 3822 4064 4306 4548 4790 5031 242 180 5273 5514 5755 5996 6237 6477 6718 6958 7198 7439 241 1 7679 7918 8158 8398 8637 8877 9116 9355 9594 9833 239 2 260071 0310 0548 0787 1025 1263 1501 1739 1976 2214 238 3 2451 2688 2925 3162 3399 3636 3873 4109 4346 4582 237 4 4818 5054 5290 5525 5761 5996 6232 6467 6702 6937 235 5 g 7172 9513 7406 Q746 7641 9980 7875 8110 8344 8578 8812 9046 9279 234 y 1 10 0213 0446 0679 0912 1144 1377 1609 233 7 271842 2074 2306 2538 2770 3001 3233 3464 3696 3927 232 8 4158 4389 4620 4850 5081 5311 5542 5772 6002 6232 230 9 6462 6692 6921 7151 7380 7609 7838 8067 8296 8525 229 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 255 25.5 51.0 76.5 102.0 127.5 153.0 178.5 204.0 229.5 254 25.4 50.8 76.2 101.6 127.0 152.4 177.8 203.2 228.6 253 25.3 50.6 75.9 101.2 126.5 151.8 177.1 202.4 227.7 252 25.2 50.4 75.6 100.8 126.0 151.2 176.4 201.6 226. 8 251 25.1 50.2 75.3 100.4 125.5 150.6 175.7 200.8 225.9 250 25.0 50.0 75.0 100.0 125.0 150.0 175.0 200.0 225.0 249 24.9 49.8 74.7 99.6 124.5 149.4 174.3 199.2 224.1 248 24.8 49.6 74.4 99.2 124.0 148.8 173.6 198.4 223.2 247 24.7 49.4 74.1 98.8 123.5 148.2 172.9 197.6 222.3 246 24.6 49.2 73.8 98.4 123.0 147.6 172.2 196.8 221.4 245 24.5 49.0 73.5 98.0 122.5 147.0 171.5 196.0 220.5 244 24.4 48.8 73.2 97.6 122.0 146.4 170.8 195.2 219.6 243 24.3 48.6 72.9 97.2 121.5 145.8 170.1 194.4 218.7 242 24.2 48.4 72.6 96.8 121.0 145.2 169.4 193.6 217.8 241 24.1 48.2 72.3 96.4 120.5 144.6 168.7 192.8 216.9 240 24.0 48.0 72.0 96.0 120.0 144.0 168.0 192.0 216.0 239 23.9 47.8 71.7 95.6 119.5 143.4 167.3 191.2 215.1 238 23.8 47.6 71.4 95.2 119.0 142.8 166.6 190.4 214.2 237 23.7 47.4 71.1 94.8 118.5 142.2 165.9 189.6 213.3 236 23.6 47.2 70.8 94.4 118.0 141.6 165.2 188.8 212.4 235 23.5 47.0 70.5 94.0 117.5 141.0 164.5 188.0 211.5 234 23.4 46.8 70.2 93.6 117.0 140.4 163.8 187.2 210.6 233 23.3 46.6 69.9 93.2 116.5 139.8 163.1 186.4 209.7 232 23.2 46.4 69.6 92.8 116.0 139.2 162.4 185.6 208.8 231 23.1 46.2 69.3 92.4 115.5 138. 6 161.7 184.8 207.9 230 23.0 46.0 69.0 92.0 115.0 138.0 161.0 184.0 207.0 229 22.9 45.8 68.7 91.6 114.5 137.4 160.3 183.2 206.1 228 22.8 45.6 68.4 91.2 114.0 136.8 159.6 182.4 205.2 227 22.7 45.4 68.1 90.8 113.5 136.2 158.9 181.6 204.3 226 22.6 45.2 67.8 90.4 113.0 135.6 158.2 180.8 203.4 4147910 12 177 TABLE 10. LOGARITHMS OF NUMBERS. No. 190 L. 278.] [No. 214 L. 332. N. 1 2 3 4 5 6 7 8 9 Diff. 190 278754 8982 9211 9439 9667 9895 Q190 1 281033 1261 1488 1715 1942 2169 2396 2622 2S49 3075 227 2 3301 3527 3753 3979 4205 4431 46-56 4SS2 5107 5332 226 3 5557 5782 6007 6232 6156 6881 6905 7130 7354 7578 225 4 7802 8026 8249 8473 8696 8920 9143 9366 9589 9812 223 5 290035 0257 0480 0702 0925 1147 1369 1591 1813 2034 222 6 2256 2478 2699 2920 3141 3363 35S4 3804 4025 4246 221 7 4466 4687 4907 5127 5347 5567 5787 6007 6226 6446 220 8 6665 6884 7104 7323 7542 7761 7979 8198 8416 8635 219 9 8853 9071 9 9 89 9507 9725 9943 200 301030 1247 1464 1681 1898 2114 1 2331 2547 2764 29SO 217 1 3196 3412 3628 3844 4059 4275 4491 4706 4921 5136 216 2 5351 5566 5781 5996 6211 6425 6639 6854 7068 7282 215 3 7496 7710 7924 8137 8351 8564 8778 8991 9204 9417 213 4 9630 9843 0056 0268 0481 0693 0906 1118 1330 1542 212 5 311754 1966 2177 2389 2600 281* 3023 3234 3445 3056 211 6 3867 4078 4289 4499 4710 4920 5130 5340 5551 57(iO 210 7 5970 6180 6390 6599 6809 7018 7227 7436 7646 7854 209 8 8063 8272 8481 8689 8898 9106 9314 9522 9730 9938 208 9 320146 0354 0562 0769 0977 1184 1391 1598 1805 2012 207 210 2219 2426 2633 2839 3046 3252 3458 3665 3871 4077 206 1 4282 4488 4694 4899 5105 5310 5516 5721 5926 6131 205 2 6336 6541 6745 6950 7155 7359 7563 7767 7972 8176 204 3 8380 8583 8787 8991 9194 939S 9601 9805 4 330414 0617 0819 1022 1225 1427 1630 1832 2034 2236 202 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 225 22.5 45.0 67.5 90.0 112.5 135.0 157.5 1SO.O 202.5 224 22.4 44.8 67.2 89.6 112.0 134.4 156. 8 179.2 201. 6 223 22.3 44.6 66.9 89.2 111.5 133.8 156. 1 178.4 200.7 222 22.2 44.4 66.6 88.8 111.0 133.2 155.4 177. 6 199.8 221 22.1 44.2 66.3 88.4 110.5 132. 6 154.7 176.8 198.9 220 22.0 44.0 66.0 88.0 110.0 132.0 154.0 176.0 198.0 219 21.9 43.8 65.7 87.6 109.5 131.4 153.3 175.2 197.1 218 21.8 43.6 65.4 87.2 109.0 130.8 152.6 174.4 196.2 217 21.7 43.4 65.1 86.8 108.5 130.2 151.9 173:6 195.3 216 21.6 43.2 64.8 86.4 108.0 129.6 151.2 172.8 194.4 215 21.5 43.0 64.5 86.0 107.5 129.0 150.5 172.0 193.5 214 21.4 42.8 64.2 85.6 107.0 128.4 149.8 171.2 192.6 213 21.3 42.6 63.9 85.2 106.5 127.8 149.1 170.4 191.7 212 21.2 42.4 63.6 84.8 106.0 127.2 148.4 169. 6 190. 8 211 21.1 42.2 63.3 84.4 105.5 126. 6 147.7 168. 8 189.9 210 21.0 42.0 63.0 84.0 105.0 126.0 147.0 168.0 189.0 209 20.9 41.8 62.7 83.6 104.5 125. 4 146.3 167.2 188.1 208 20.8 41.6 62.4 83.2 104.0 124.8 145.6 166. 4 187.2 207 20.7 41.4 62.1 82.8 103.5 124.2 144.9 165.6 186.3 206 20.6 41.2 61.8 82.4 103.0 123.6 144.2 164.8 185.4 205 20.5 41.0 61.5 82.0 102. 5 123. 143.5 164. 184.5 204 20.4 40.8 61.2 81.6 102.0 122.4 142.8 163.2 183. 6 203 20.3 40.6 60.9 81.2 101.5 121.8 142.1 162. 4 182.7 202 20.2 40.4 60.6 80.8 101.0 121.2 141.4 161.6 181.8 178 TABLE 10. -LOGARITHMS OF NUMBERS. No. 215 L. 332.] [No. 239 L. 380. N. 1 2 3 4 5 6 7 8 9 Diff. 215 33243S 2640 2842 3044 3246 3447 3649 3850 4051 4253 202 6 4454 4655 4856 5057 5257 5458 5658 5859 6059 6260 201 7 64GO 6660 6860 7060 7260 7459 7659 7858 8058 8257 200 g 84 56 8656 8855 9054 9253 9451 9650 9849 0047 0246 199 9 340444 0642 0841 1039 1237 1435 1632 1830 2028 2225 198 220 2423 2620 2817 3014 3212 3409 3606 3802 3999 4196 197 1 4392 4589 4785 4981 5178 5374 5570 5766 5962 6157 196 2 6353 6549 6744 6939 7135 7330 7525 7720 7915 8110 195 3 8305 8500 8694 8889 9083 9278 9472 9666 9860 0054 1Q4 4 350248 0442 0636 0829 1023 1216 1410 1603 1790 1989 iy- 193 5 2183 2375 2568 2761 2954 3147 3339 3532 3724 3916 193 6 4108 4301 4493 4685 4876 5068 5260 5452 5643 5834 192 7 6026 6217 6408 6599 6790 6981 7172 7363 7554 7744 191 8 9 7935 9835 8125 8316 8506 8696 8886 9076 9266 9456 9646 190 flfl^T (191 r 0404 ncnq r\7fiQ OQ79 1 1 A1 i Qift 1 1QQ 1 CO 230 361728 UU~0 1917 U.S1D 2105 VHIH 2294 uoyo 2482 U/oo 2671 uy /z 2859 1101 3048 loou 3236 looy 3424 ioy 188 1 3612 3800 3988 4176 4363 4551 4739 4926 5113 5301 188 2 5488 5675 5862 6049 6236 6423 6610 6796 6983 7169 187 3 7356 7542 7729 7915 8101 8287 8473 8659 8845 9030 186 4 9216 9401 9587 9772 qorjc yjoo 0143 0328 0513 0698 0883 185 5 371068 1253 1437 1622 1806 1991 2175 2360 2544 2728 184 6 2912 3096 3280 3464 3647 3831 4015 4198 4382 4565 184 7 4748 4932 5115 5298 5481 5664 5846 6029 6212 6394 183 8 6577 6759 6942 7124 7306 7488 7670 7852 8034 8216 182 9 8398 8580 8761 8943 9124 9306 9487 9668 9849 38 0030 181 PROPORTIONAL PARTS. Dill. 1 2 3 4 5 6 7 8 9 202 20.2 40.4 60.6 80.8 101.0 121.2 141.4 161.6 181.8 201 20.1 40.2 60.3 80.4 100.5 120.6 140.7 160.8 180.9 200 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0 199 19.9 39.8 59.7 79.6 99.5 119.4 139.3 159.2 179.1 198 19.8 39.6 59.4 79.2 99.0 118.8 138.6 158.4 178.2 197 19.7 39.4 59.1 78.8 98.5 118.2 137.9 157.6 177.3 196 19.6 39.2 58.8 78.4 98.0 117.6 137.2 156.8 176.4 195 19.5 39.0 58.5 78.0 97.5 117.0 136.5 156.0 175.5 194 19.4 38.8 58.2 77.6 97.0 116.4 135.8 155.2 174.6 193 19.3 38.6 57.9 77.2 96.5 115.8 135.1 154.4 173.7 192 19.2 38.4 57.6 76.8 96.0 115.2 134.4 153.6 172.8 191 19.1 38.2 57.3 76.4 95.5 114.6 133.7 152.8 171.9 190 19.0 38.0 57.0 76.0 95.0 114.0 133.0 152.0 171.0 189 18.9 37.8 56.7 75.6 94.5 113.4 132.3 151.2 170.1 188 18.8 37.6 56.4 75.2 94.0 112.8 131.6 150.4 169.2 187 18.7 37.4 56.1 74.8 93.5 112.2 130.9 149.6 168.3 186 18.6 37.2 55.8 74.4 93.0 ill. 6 130.2 148.8 167.4 185 18.5 37.0 55.5 74.0 92.5 111.0 129.5 148.0 166.5 184 18.4 36.8 55.2 73.6 92.0 110.4 128.8 147.2 165.6 183 18.3 36.6 54.9 73.2 91.5 109.8 128.1 146.4 164.7 182 18.2 36.4 54.6 72.8 91.0 109.2 127.4 145.6 163.8 181 18.1 36.2 54.3 72.4 90.5 108.6 126.7 144.8 162.9 180 18.0 36.0 54.0 72.0 90.0 108.0 126. 144.0 162. 179 17.9 35.8 53.7 71. <) 89.5 107.4 125.3 143.2 161.1 179 TABLE 10. LOGARITHMS OF NUMBERS. No. 240 L. 380.] [No. 269 L. 431. N. 1 2 3 4 5 6 7 8 9 1837 3636 5428 7212 8989 Diff. 181 180 179 178 178 177 176 176 175 174 173 173 172 171 171 170 169 169 168 167 167 166 165 165 164 164 163 162 162 161 240 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 0573 2377 4174 5964 7746 9520 0754 2557 4353 6142 7924 9698 0934 2737 4533 6321 8101 9875 1115 2917 4712 6499 8279 1296 3097 4891 6677 8456 1476 3277 5070 6856 8634 1656 3456 5249 7034 8811 0582 2345 4101 5850 7592 9328 0051 1817 3575 5326 7071 8808 0228 1993 3751 5.501 7245 8981 0405 21(19 3926 5676 7419 9154 0759 2521 4277 6025 7766 9501 390935 2697 4452 6199 7940 9674 1112 2873 4627 6374 8114 9847 1288 3048 4802 6548 8287 1464 3224 4977 6722 8461 1641 3400 5152 6896 8634 0020 1745 3464 5176 6881 8579 0192 1917 3635 5346 7051 8749 0365 2089 3807 5517 7221 8918 0538 2281 3978 5688 7391 9087 0711 2433 4149 5858 7561 9257 08S3 2605 4320 6029 7731 9426 1056 2777 4492 6199 7901 9595 1228 2949 4663 6370 8070 9764 401401 3121 4834 6540 8240 9933 1573 3292 5005 6710 8410 0102 1788 3467 5140 6807 8467 0271 1956 3635 5307 6973 8633 0440 2124 3803 5474 7139 8798 0609 2293 3970 5641 7306 8964 0777 2461 4137 5808 7472 9129 0946 2629 4305 5974 7638 9295 1114 2796 4472 6141 7804 9460 1283 2964 4639 6308 7970 9625 1451 3132 4806 6474 8135 9791 411620 3300 4973 6641 8301 9956 0121 1768 3410 5045 6074 8297 9914 0286 1933 3574 5208 6836 8459 0451 2097 3737 5371 6999 8621 0616 2261 3901 5534 7161 8783 0781 2426 4065 5697 7324 8944 0945 2590 4228 5860 7486 9106 1110 2754 4392 6023 76-18 9268 1275 2918 4555 6186 7811 9429 1439 3082 4718 6349 7973 9591 421604 3246 4882 6511 8135 9752 43 0075 0236 0398 0559 0720 0881 1042 1203 PROPORTIONAL PARTS. Diff. 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 70.0 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 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 80.5 106.8 106.2 105.6 105.0 104.4 103.8 103.2 102.6 102.0 101.4 100.8 100.2 99.6 99.0 98.4 97.8 97.2 96.6 124.6 123.9 123.2 122.5 121.8 121.1 120.4 119.7 119.0 118.3 117.6 116.9 116.2 115.5 114.8 114.1 113.4 112.7 142.4 141.6 140.8 140.0 139.2 138.4 137.6 136.8 136.0 135.2 134.4 133.6 132.8 132.0 131.2 130.4 129.6 128.8 160.2 159.3 158.4 157.5 156.6 155.7 154.8 153.9 153.0 152.1 151.2 150.3 149.4 148.5 147.6 146.7 145.8 144.9 180 TABLE 10. LOGARITHMS OF NUMBERS. No. 270 L. 431.] [No. 299 L. 476. N. 1 2 3 4 5 6 7 8 9 Diff. 270 431364 1525 1685 1846 2007 2167 2328 2488 2649 2809 161 1 2969 3130 3290 3450 3610 3770 3930 4090 4249 4409 160 2 4569 4729 4888 5048 5207 5367 5526 5685 5844 6004 159 3 6163 6322 6481 6640 6799 6957 7116 7275 7433 7592 159 . 4 5 7751 qooo 7909 9491 8067 9648 8226 9806 8384 9964 8542 8701 8859 9017 9175 158 yooo 0122 0279 0437 0594 0752 158 6 440909 1066 1224 1381 1538 1695 1852 2009 2166 2323 157 7 2480 2637 2793 2950 3106 3263 3419 3576 3732 3889 157 8 4045 4201 4357 4513 4669 4825 4981 5137 5293 5449 156 9 5604 5760 5915 6071 6226 6382 6537 6692 6848 7003 155 280 1 7158 870(1 7313 88fi1 7468 9015 7623 0170 7778 9324 7933 9478 8088 9633 8242 9787 8397 9941 8552 155 ot uO ooul UirfU 0095 154 2 450249 0403 0557 0711 0865 1018 1172 1326 1479 1633 154 3 1786 1940 2093 2247 2400 2553 2706 2859 3012 3165 153 4 3318 3471 3624 3777 3930 4082 4235 4387 4540 4692 153 5 ! 4845 4907 5150 5302 5454 5606 5758 5910 6062 6214 152 6 : 6306 6518 6670 6821 6973 7125 7276 7428 7579 7731 152 7 ' 7882 8033 8184 8336 8487 8638 8789 8940 9091 9242; 151 g OQQ9 9543 9694 9845 9995 0146 0296 0447 0597 0748 151 9 460898 1048 1198 1348 1499 1649 1799 1948 2098 2248 150 290 2398 2548 2697 2847 2997 3146 3296 3445 3594 3744 150 1 3893 4042 4191 4340 4490 4639 4788 4936 5085 5234 149 2 5383 5532 5680 5829 5977 6126 6274 6423 6571 6719 149 3 6868 ?ni6 7164 7312 7460 7608 7756 7904 8052 8200 148 4 g. 8347 9822 8495 9969 8643 8790 8938 9085 9233 9380 9527 9675 148 0116 0263 0410 0557 0704 0851 0998 1145 147 6 471292 1438 1585 1732 1878 2025 2171 2318 2464 2610 146 7 2756 2903 3049 3195 3341 3487 3633 3779 3925 4071 146 8 4216 4362 4508 4653 4799 4944 5090 5235 5381 5526 146 9 5671 5816 5962 6107 6252 6397 6542 6687 6832 6976 145 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 161 16.1 32.2 48.3 64.4 80.5 96.6 112.7 128.8 144.9 160 16.0 32.0 48.0 64.0 80.0 96.0 112.0 128.0 144.0 159 15.9 31.8 47.7 63.6 79.5 95.4 111.3 127.2 143.1 158 15.8 31.6 47.4 63.2 79.0 94.8 110.6 126.4 142.2 157 15.7 31.4 47.1 62.8 78.5 94.2 109.9 125.6 141.3 156 15.6 31.2 46.8 62.4 78.0 93.6 109.2 124.8 140.4 155 15.5 31.0 46.5 62.0 77.5 93.0 108.5 124.0 139.5 154 15.4 30.8 46.2 61.6 77.0 92.4 107.8 123.2 138.6 153 15.3 30.6 45.9 61.2 76.5 91.8 107.1 122.4 137.7 152 15.2 30.4 45.6 60.8 76.0 91.2 106.4 121. 6 136.8 151 15.1 30.2 45.3 60.4 75.5 90.6 105.7 120.8 135.9 150 15.0 30.0 45.0 60.0 75.0 90.0 105.0 120.0 135.0 149 14.9 29.8 44.7 59.6 74.5 89.4 104.3 119.2 134.1 148 14.8 29.6 44.4 59.2 74.0 88.8 103.6 118.4 133.2 147 14.7 29.4 44.1 58.8 73.5 88.2 102.9 117.6 132.3 146 14.6 29.2 43.8 58.4 73.0 87.6 102.2 116.8 131.4 145 14.5 29.0 43.5 58.0 72.5 87.0 101.5 116. 130.5 144 14.4 28.8 43.2 57.6 72.0 86.4 100.8 115.2 129.6 143 14 3 28.6 42.9 57.2 71.5 85.8 100.1 114.4 128.7 142 14.2 28.4 42.6 56.8 71.0 85.2 99.4 113.6 127.8 141 14.1 28.2 42.3 56.4 70.5 84.6 98.7 112.8 126.9 140 14.0 28.0 42.0 56.0 70.0 84.0 98.0 112.0 126.0 181 TABLE 10. LOGARITHMS OP NUMBERS. No. 300 L. 477.] [No. 339 L. 531. N. 1 2 3 4 5 6 7 8 9 Diff. 300 1 2 3 4 5 6 7 8 9 310 1 2 3 4 5 6 7 8 9 320 1 2 3 4 5 6 7 8 9 330 1 2 3 4 5 6 7 8 9 477121 8566 7266 8711 7411 8855 7555 8999 7700 9143 7844 9287 7989 9431 8133 9575 8278 9719 8422 9863 145 144 144 143 143 142 142 141 141 140 140 139 139 139 138 138 137 137 136 136 136 135 135 134 134 133 133 133 132 132 131 131 131 130 130 129 129 129 128 128 480007 1443 2874 4300 5721 7138 8551 9958 0151 1586 3016 4442 5863 7280 8692 0099 1502 2900 4294 5683 7068 8448 9824 0294 1729 3159 4585 6005 7421 8833 0438 1872 3302 4727 6147 7503 8974 0582 2016 3445 4869 6289 7704 9114 0725 2159 3587 5011 6430 7845 9255 0869 2302 3730 5153 6572 7986 9396 1012 2445 3872 5295 6714 8127 9537 1156 2588 4015 5437 6855 8269 9677 1299 2731 4157 5579 6997 8410 9818 0239 1642 3040 4433 5822 7206 8586 9962 0380 1782 3179 4572 5960 7344 8724 0520 1922 3319 4711 6099 7483 8862 0661 2062 3458 4850 6238 7621 8999 0801 2201 3597 4989 6376 7759 9137 0941 2341 3737 5128 6515 7897 9275 1081 2481 3876 5267 6653 8035 9412 1222 2621 4015 5406 6791 8173 9550 491362 2760 4155 5544 6930 8311 9687 0099 1470 2837 4199 5557 6911 8260 9606 0236 1607 2973 4335 5693 7046 8395 9740 0374 1744 3109 4471 5828 7181 8530 9874 0511 1880 3246 4607 5964 7316 8664 0648 2017 3382 4743 6099 7451 8799 0785 2154 3518 4878 6234 7586 8934 0922 2291 3655 5014 6370 7721 9068 501059 2427 3791 5150 6505 7856 9203 1196 2564 3927 5286 6640 7991 9337 1333 2700 4063 5421 6776 8126 9471 0009 1349 2684 4016 5344 6668 7987 9303 0143 1482 2818 4149 5476 6800 8119 9434 0277 1616 2951 4282 5609 6932 8251 9566 0411 1750 3084 4415 5741 7064 6382 9697 510545 1883 3218 4548 5874 7196 8514 9828 0679 2017 3351 4681 6006 7328 8646 9959 0813 2151 3484 4813 6139 7460 8777 0947 2284 3617 4946 6271 7592 8909 1081 2418 3750 5079 6403 7724 9040 1215 2551 3883 5211 6535 7855 9171 0090 1400 2705 4006 5304 6598 7888 9174 0221 1530 2835 4136 5434 6727 8016 9302 0353 1661 2966 4266 5563 6856 8145 9430 0484 1792 3096 4396 5693 6985 8274 9559 0615 1922 3226 4526 5822 7114 8402 9687 0745 2053 3356 4656 5951 7243 8531 9815 0876 2183 3486 4785 6081 7372 8060 9943 1007 2314 3616 4915 6210 7501 8788 521138 2444 3746 5045 6339 7630 8917 1269 2575 3876 5174 6469 7759 9045 0072 1351 530200 0328 0456 0584 0712 0840 0968 1096 1223 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 139 138 137 136 135 134 133 132 131 130 129 128 127 13.9 13.8 13.7 13.6 13.5 13.4 13.3 13.2 13.1 13.0 12.9 12.8 12.7 27.8 27.6 27.4 27.2 27.0 26.8 26.6 26.4 26.2 26.0 25.8 25.6 25.4 41.7 41.4 41.1 40.8 40.5 40.2 39.9 39.6 39.3 39.0 38.7 38.4 38.1 55.6 55.2 54.8 54.4 54.0 53.6 53.2 52.8 52.4 52.0 51.6 51.2 50.8 69.5 69.0 68.5 68.0 67.5 67.0 66. 5 66.0 65.5 65. 64.5 64.0 63.5 83.4 82.8 82.2 81.6 81.0 80.4 79.8 79.2 78.6 78.0 77.4 76.8 76.2 97.3 96.6 95.9 95.2 94.5 93.8 93.1 92.4 91.7 91.0 90.3 89.6 88.9 111.2 110.4 109.6 108.8 108.0 107.2 106.4 105. 6 104.8 104.0 103.2 102.4 101.6 125.1 124.2 123.3 122.4 121.5 120.6 119.7 118.8 117.9 117.0 116.1 115.2 114.3 182 TABLE 10. LOGARITHMS OF NUMBERS. No. 340 L. 531.] [No. 379 L. 579. N. 340 1 2 3 4 5 6 7 8 9 350 1 2 3 4 5 fi 7 8 9 300 1 2 3 4 5 6 7 8 9 370 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 . 8 9 Diff. 531479 2754 4026 5294 6558 7819 9076 1607 2882 4153 5421 6685 7945 9202 1734 3009 4280 5547 6811 8071 9327 1862 3136 4407 5674 6937 8197 9452 1990 3264 4534 5800 7063 8322 9578 2117 3391 4661 5927 7189 8448 9703 2245 3518 4787 6053 7315 8574 9829 2372 3645 4914 6180 7441 8699 9954 2500 3772 5041 6306 7567 8825 2627 3899 5167 6432 7693 8951 128 127 127 126 126 126 125 125 125 124 124 124 123 123 123 122 122 121 121 121 120 120 120 119 119 119 119 118 118 118 117 117 117 116 116 116 115 115 115 114 0079 1330 2576 3820 5060 6296 7529 8758 9984 0204 1454 2701 3944 5183 6419 7652 8881 540329 1579 2825 4068 5307 6543 7775 9003 0455 1704 2950 4192 5431 6666 J898 9126 0580 1829 3074 4316 5555 6789 8021 9249 0705 1953 3199 4440 5678 6913 8144 9371 0830 2078 3323 4564 5802 7036 8267 9494 0955 2203 3447 4688 5925 7159 8389 9616 1080 2327 3571 4812 6049 7282 8512 9739 1205 2452 3696 4936 6172 7405 8635 9861 0106 1328 2547 3762 4973 6182 7387 8589 9787 550228 14.50 2668 3883 5094 6303 7507 8709 9907 561101 2293 3481 4666 5848 7026 8202 9374 0351 1572 2790 4004 5215 6423 7627 8829 0473 1694 2911 4126 5336 6544 7748 8948 0595 1816 3033 4247 5457 6664 7868 9068 0717 1938 3155 4368 5578 6785 7988 9188 0840 2060 3276 4489 5699 6905 8108 9308 0962 2181 3398 4610 5820 7026 8228 9428 1084 2303 3519 4731 5940 7146 8349 9548 1206 2425 3640 4852 6061 7267 84JS0 9667 0026 1221 2412 3600 4784 5966 7144 8319 9491 0146 1340 2531 3718 4903 6084 7262 8436 9608 0265 1459 2650 3837 5021 6202 7379 8554 9725 0385 1578 2769 3955 5139 6320 7497 8671 9842 0504 1698 2887 4074 5257 6437 7614 8788 9959 0624 1817 3006 4192 5376 6555 7732 8905 0743 1936 3125 4311 5494 6673 7849 9023 0863 2055 3244 4429 5612 6791 7967 9140 0982 2174 3362 4548 5730 6909 8084 9257 0076 1243 2407 3568 4726 5880 7032 8181 9326 0193 1359 2523 3684 4841 5996 7147 8295 9441 0309 1476 2639 3800 4957 6111 7262 8410 9555 0426 1592 2755 3915 5072 6226 7377 8525 9669 570543 1709 2872 4031 5188 6341 7492 8639 0660 1825 2988 4147 5303 6457 7607 8754 0776 1942 3104 4263 5419 6572 7722 8868 0893 2058 3220 4379 5534 6687 7836 8983 1010 2174 3336 4494 5650 6802 7951 9097 1126 2291 3452 4610 5765 6917 8066 9212 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 128 127 126 125 124 123 122 121 120 119 12.8 12.7 12.6 12.5 12.4 12.3 12.2 12.1 12.0 11.9 25.6 25.4 25.2 25.0 24.8 24.6 24.4 24.2 24.0 23.8 38.4 51.2 38. 1 50. 8 37.8 50.4 37. 5 50. 37. 2 49. 6 36. 9 49. 2 36. 6 48. 8 36. 3 48. 4 36. 48. 35. 7 47. 6 64.0 63.5 63.0 62.5 62.0 61.5 61.0 60.5 60.0 59.5 76.8 76.2 75.6 75.0 74.4 73.8 73.2 72.6 72.0 71.4 89.6 88.9 88.2 87.5 86.8 86.1 85.4 84.7 84.0 83.3 102.4 101. 6 100.8 100.0 99.2 98.4 97.6 96.8 96.0 95.2 115.2 114.3 113.4 112.5 111.6 110.7 109.8 108.9 108.0 107. 1 183 TABLE 10. LOGARITHMS OF NUMBERS. No. 380. L. 579.] [No. 414 L. 617. N. 1 2 3 4 5 6 7 8 9 Diff. 380 1 2 3 4 5 6 7 8 9 390 1 2 3 4 5 6 7 8 9 400 1 2 3 4 5 6 7 8 9 410 1 2 3 4 579784 9898 0012 1153 2291 3426 4557 5686 6812 7935 9056 0126 1267 2404 3539 4670 5799 6925 8047 9167 0241 1381 2518 3652 4783 5912 7037 8160 9279 0355 1495 2631 3765 4896 6024 7149 8272 9391 0469 1608 2745 3879 5009 6137 7262 8384 9503 0583 1722 2858 3992 5122 6250 7374 8496 9615 0697 1836 2972 4105 5235 6362 7486 8608 9726 0811 1950 3085 4218 5348 6475 7599 8720 9838 114 113 112 111 110 109 108 107 106 105 580925 2063 .3199 4331 5461 6587 7711 8832 9950 1039 2177 3312 4444 5574 6700 7823 8944 0061 1176 2288 3397 4503 5606 6707 7805 8900 9992 0173 1287 2399 3508 4614 5717 6817 7914 9009 0284 1399 2510 3618 4724 5827 6927 8024 9119 0396 1510 2621 3729 4834 5937 7037 8134 9228 0507 1621 2732 3840 4945 6047 7146 8243 9337 0619 1732 2843 3950 5055 6157 7256 8353 9446 0730 1843 2954 4061 5165 6267 7366 8462 9556 0842 1955 3064 4171 5276 6377 7476 8572 9665 0953 2066 3175 4282 5386 6487 7586 8681 9774 591065 2177 3286 4393 5496 6597 7695 8791 9883 0101 1191 2277 3361 4442 5521 6596 7669 8740 9808 0210 1299 2386 3469 4550 5628 6704 7777 8847 9914 0319 1408 2494 3577 4658 5736 6811 7884 8954 0428 1517 2603 3686 4766 5844 6919 7991 9061 0537 1625 2711 3794 4874 5951 7026 8098 9167 0646 1734 2819 3902 4982 6059 7133 8205 9274 0755 1843 2928 4010 5089 6166 7241 8312 9381 0864 1951 3036 4118 5197 6274 7348 8419 9488 600973 2060 3144 4226 5305 6381 7455 8526 9594 1082 2169 3253 4334 5413 6489 7562 8633 9701 0021 1086 2148 3207 4264 5319 6370 7420 0128 1192 2254 3313 4370 5424 6476 7525 0234 1298 2360 3419 4475 5529 6581 7629 0341 1405 2466 3525 4581 5634 6686 7734 0447 1511 2572 3630 4686 5740 6790 7839 0554 1617 2678 3736 4792 5845 6895 7943 610660 1723 2784 3842 4897 5950 7000 0767 1829 2890 3947 5003 6055 7105 0873 1936 2996 4053 5108 6160 7210 0979 2042 3102 4159 5213 6265 7315 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 118 117 116 115 114 113 112 111 110 109 108 107 106 105 105 104 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 54.5 54.0 53.5 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 80.5 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 83.2 106.2 105.3 104.4 103.5 102.6 101.7 100.8 99.9 99.0 98.1 97.2 96.3 95.4 94.5 94.5 93.6 184 TABLE 10. LOGARITHMS OF NUMBERS. No. 415 L. 618.] [No. 459 L. 662. N. 1 2 3 4 5 6 7 8 9 Diff. 105 104 103 102 101 100 99 98 97 96 95 415 6 7 8 9 420 1 2 3 4 5 6 7 ' 8 9 430 1 2 3 4 5 6 7 8 9 440 1 2 3 4 5 6 7 8 9 450 1 2 3 4 5 6 7 8 9 618048 9093 8153 9198 8257 9302 8362 9406 8466 9511 8571 9615 8676 9719 8780 9824 8884 9928 8989 0032 1072 2110 3146 4179 5210 6238 7263 8287 9308 620136 1176 2214 3249 4282 5312 6340 7366 8389 9410 0240 1280 2318 3353 4385 5415 6443 7468 8491 9512 0344 1384 2421 3456 4488 5518 6546 7571 8593 9613 0448 1488 2525 3559 4591 5621 6648 7673 8695 9715 0552 1592 2628 3663 4695 5724 6751 7775 8797 9817 0656 1695 2732 3766 4798 5827 6853 7878 8900 9919 0760 1799 2835 3869 4901 5929 6956 7980 9002 0864 1903 2939 3973 5004 6032 7058 8082 9104 0968 2007 3042 4076 5107 6135 7161 8185 920(5 0021 1038 2052 3064 4074 5081 6087 7089 8090 9088 0123 1139 2153 3165 4175 5182 6187 7189 8190 9188 0224 1241 2255 3266 4276 5283 6287 7290 8290 9287 0326 1342 2356 3367 4376 5383 6388 7390 8389 9387 630428 1444 2457 3468 4477 5484 6488 7490 8489 9486 0530 1545 2559 3569 4578 5584 6588 7590 8589 9586 0631 1647 2660 3670 4679 5685 6688 7690 8689 9686 0733 1748 2761 3771 4779 5785 6789 7790 8789 9785 0835 1849 2862 3872 4880 5886 6889 7890 8888 9885 0936 1951 2963 3973 4981 5986 6989 7990 8988 9984 0084 1077 2069 3058 4044 5029 6011 6992 7969 8945 9919 0183 1177 2168 3156 4143 5127 6110 7089 8067 9043 0283 1276 2267 3255 4242 5226 6208 7187 8165 9140 0382 1375 2366 3354 4340 5324 6306 7285 8262 9237 640481 1474 2465 3453 4439 5422 6404 7383 8360 9335 0581 1573 2563 3551 4537 5521 6502 7481 8458 9432 0680 1672 2662 3650 4636 5619 6600 7579 8555 9530 0779 1771 2761 3749 4734 5717 6698 7676 8653 9627 0879 1871 2860 3847 4832 5815 6796 7774 8750 9724 0978 1970 2959 3946 4931 5913 6894 7872 8848 9821 0016 0987 1956 2923 3888 4850 5810 6769 7725 8679 9631 0113 1084 2053 3019 3984 4946 5906 6864 7820 8774 9726 0210 1181 2150 3116 4080 5042 6002 6960 7916 8870 9821 650308 1278 2246 3213 4177 5138 6098 7056 8011 8965 9916 0405 1375 2343 3309 4273 5235 6194 7152 8107 9060 0502 1472 2440 3405 4369 5331 6290 7247 8202 9155 0599 1569 2536 3502 4465 5427 6386 7343 8298 9250 0696 1666 2633 3598 4562 5523 6482 7438 8393 9346 0793 1762 2730 3695 4658 5619 6577 7534 8488 9441 0890 1859 2826 3791 4754 5715 6673 7629 8584 9536 0011 0960 1907 0106 1055 2002 0201 1150 2096 0296 1245 2191 0391 1339 2286 0486 1434 2380 0581 1529 2475 0676 1623 2569 0771 1718 2663 660865 1813 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 105 104 103 102 101 100 99 10.5 10.4 i 10.3 10.2 10.1 10.0 9.9 21.0 31.5 20. 8 31. 2 20. 6 30. 9 20.4 30.6 20. 2 30. 3 20. 30. 19. 8 29. 7 42.0 52.5 41. 6 52. 41.2 51.5 40.8 51.0 40. 4 50. 5 40. 50. 39.6 49.5 63.0 62.4 61.8 61.2 60.6 60.0 59.4 73. 5 84. 72. 8 83. 2 72. 1 82. 4 71. 4 81. 6 70. 7 80. 8 70. 80. 69. 3 79. 2 94.5 93.6 92.7 91.8 90.9 90.0 89.1 185 TABLE 10. LOGARITHMS OF NUMBERS. No. 460 L. 662.] (No. 499 L. 698. N. 1 2 3 4 5 6 7 8 9 Difl. 460 662758 2852 2947 3041 3135 3230 3324 3418 3512 3607 1 3701 3795 3889 3983 4078 4172 4266 4360 4454 4548 2 4642 4736 4830 4924 50 8 5112 5206 5299 5 193 548 7 94 3 5581 5675 5769 5862 5956 6050 6143 6237 6331 i 6424 4 6518 6612 6705 6799 68< >2 6986 7079 7173 7 206 736 3 5 7453 7546 7040 7733 78$ ><; 7920 8013 8106 8 199 829 i 6 8386 8479 8572 8665 8759 8852 8945 9038 9131 9224 7 9317 9410 9503 9596 9689 9782 9875 9967 93 0060 rt1t; ' } 8 670246 0339 0431 0524 0617 0710 0802 0895 0988 1080 9 1173 1265 1358 1451 1543 1636 1728 1821 1913 2005 470 2098 2190 2283 2375 2467 2560 2652 2744 2836 2929 1 3021 3113 3205 3297 33< K) 3482 3574 3666 3 "S 385 ) 2 3942 4034 4126 4218 4310 4402 ; 4494 4586 4677 476 9 92 3 4861 4953 5045 5137 52$ 28 5320 5412 5503 5 195 568 7 4 5778 5870 5962 6053 6145 6236 6328 6419 6511 6602 5 6694 6785 6876 6968 70, )i) 7151 7242 7333 7 424 751 5 6 7607 7698 7789 7881 7972 8063 8154 8245 8336 8427 7 8518 8609 8700 8791 88! J2 8973 9064 9155 9 1 2*6 933 1 91 g 9428 9519 9610 9700 97 )i 9882 9973 fWiQ o 1 ZA \ no.i 9 680336 0426 0517 0607 06 )S 0789 0879 UUOO 0970 1060 1151 480 1241 1332 1422 1513 1603 1693 1784 1874 1964 2055 1 2145 2235 2326 2416 25 Xi 2596 2686 2777 2 S67 295 7 2 3047 3137 3227 3317 3407 3497 3587 3677 3767 3857 90 3 3947 4037 4127 4217 43 )7 4396 4486 4576 4 m 475 S 4 4845 4935 5025 5114 5204 5294 5383 5473 5o63 5652 5 5742 5831 5921 6010 61 )0 6189 6279 6368 6 4.58 654 7 6 6636 6726 6815 6904 69 )4 7083 7172 7261 7351 7440 7 7529 7618 7707 7796 78 36 7975 8064 8153 8 242 833 1 89 8 8420 8509 8598 8687 87 -6 8865 8953 9042 9 131 922 9 9309 9398 ',)4Sti 9575 9t> 34 9753 9841 OQQn yyou Ot 11 n A irk 7 490 690196 0285 0373 0462 0550 0639 0728 0816 UL/-LJ7 0905 UlUi 0993 1 1081 1170 1258 1347 14 ft 1524 1612 1700 1 7-s9 187 7 2 1965 2053 2142 2230 2318 2406 2494 2583 2671 2759 3 2847 2935 3023 3111 31 )9 3287 3375 3463 3 >51 363, 9 88 4 3727 3815 3903 3991 4078 4166 4254 4342 4430 4517 5 4605 4693 4781 4868 49 56 5044 5131 5219 5 307 539 1 6 5482 5569 5657 57-14 58 32 5919 6007 6094 6 1S2 626 I 7 6356 6444 6531 6618 6706 6793 6880 6968 7055 7142 8 7229 7317 7404 7491 75 '8 7665 7752 7839 7 >_><> 801 1 9 8100 8188 8275 8362 8449 8535 8622 8709 8796 8883 87 PROPORTIONAL PARTS. Difl. 1 234 5 6 7 8 9 98 9.8 19. 6 29. 4 39. 2 49.0 58.8 68.6 78.4 88.2 97 9.7 19. 4 29. 1 38. 8 48.5 58.2 67.9 77.6 87.3 96 9.6 19. 2 28. 8 38. 4 48.0 57.6 67.2 76.8 86.4 95 9.5 19. 28. 5 38. 47.5 57.0 66.5 76.0 85.5 94 9.4 18. 8 28. 2 37. 6 47.0 56.4 65.8 75.2 84.6 93 9.3 18.6 27.9 37.2 46.5 55.8 65.1 74.4 83.7 92 9.2 18. 4 27. 6 36. 8 46.0 55.2 64.4 73.6 82.8 91 9.1 18. 2 27. 3 36. 4 45.5 54.6 63.7 72.8 81.9 90 9.0 18. 27. 36. 45.0 54.0 63.0 72.0 81.0 89 8.9 17. 8 26. 7 35. 6 44.5 53.4 62.3 71.2 80.1 88 8.8 17. 6 26. 4 35. 2 44.0 52.8 61.6 70.4 79.2 87 8.7 17. 4 26. 1 34. 8 43.5 52.2 60.9 69.6 78.3 86 8.6 17. 2 25. 8 34. 4 43.0 51.6 60.2 68.8 77.4 186 TABLE 10.-LOGAR1THMS OF NUMBERS. No. 500 L. 698.] [No. 544 L. 736. N. 1 a 3 4 5 6 7 8 9 Diff. 500 1 2 3 4 5 6 7 8 9 510 1 2 3 4 o G 7 8 9 520 1 2 3 4 5 6 7 8 9 "530 1 2 3 4 5 6 7 8 9 540 1 2 3 4 698970 9838 9057 9924 9144 9231 9317 9404 9491 9578 9664 9751 86 85 84 83 82 81 80 0011 0877 1741 2603 3463 4322 5179 6035 6888 7740 8591 9440 0098 0963 1827 2689 3549 4408 5265 6120 6974 7826 8676 9524 0184 1050 1913 2775 3635 4494 5350 6206 7059 7911 8761 9609 0271 1136 1999 2861 3721 4579 5436 6291 7144 7996 8846 9694 0358 1222 2086 2947 3807 4665 5522 6376 7229 8081 8931 9779 0444 1309 2172 3033 3893 4751 5607 6462 7315 8166 9015 9863 0531 1395 2258 3119 3979 4837' 5693 6547 7400 8251 9100 9948 0617 1482 2344 3205 4065 4922 5778 6632 7485 8336 9185 700704 1568 2431 3291 4151 5008 5864 6718 7570 8421 9270 0790 1654 2517 3377 4236 5094 5949 6803 7655 8506 9355 0033 0879 1723 2566 3407 4246 5084 5920 6754 7587 8419 9248 710117 0963 1807 2650 3491 4330 5167 6003 6838 7671 8502 9331 0202 1048 1892 2734 3575 4414 5251 6087 6921 7754 8585 9414 0287 1132 1976 2818 3659 4497 5335 6170 7004 7837 8668 9497 0371 1217 2060 2902 3742 4581 5418 6254 7088 7920 8751 9580 0456 1301 2144 2986 3826 4665 5502 6337 7171 8003 8834 9663 0.540 1385 2229 3070 3910 4749 5586 6421 7254 8086 8917 9745 0625 1470 2313 3154 3994 4833 5669 6504 7338 8169 9000 9828 0710 1554 2397 3238 4078 4916 5753 6588 7421 8253 9083 9911 0794 1639 2481 3323 4162 5000 5836 6671 7504 8336 9165 9994 0077 0903 1728 2552 3374 4194 5013 5830 6646 7460 8273 9084 9893 720159 0986 1811 2634 3456 4276 5095 5912 6727 7541 8354 9165 9974 0242 1068 1893 2716 3538 4358 5176 5993 6809 7623 8435 9246 0325 1151 1975 2798 3620 4440 5258 6075 6890 7704 8516 9327 0407 1233 2058 2881 3702 4522 5340 6156 6972 7785 8597 9408 0490 1316 2140 2963 3784 4604 5422 6238 7053 7866 8678 9489 0573 1398 2222 3045 3866 4685 5503 6320 7134 7948 8759 9570 0655 1481 2305 3127 3948 4767 5585 6401 7216 8029 8841 9651 0738 1563 2387 3209 4030 4849 5667 6483 7297 8110 8922 9732 0821 1646 2469 3291 4112 4931 5748 6564 7379 8191 9003 9818 0055 0863 1669 2474 3278 4079 4880 5679 0136 0944 1750 2555 3358 4160 4960 5759 0217 1024 1830 2635 3438 4240 5040 5838 0298 1105 1911 2715 3518 4320 5120 5918 0378 1186 1991 2796 3598 4400 5200 5998 0459 1266 2072 2876 3679 4480 5279 6078 0540 1347 2152 2956 3759 4560 5359 6157 0621 1428 2233 3037 3839 4640 5439 6237 0702 1508 2313 3117 3919 4720 5519 6317 730782 1589 2394 3197 3999 4800 5599 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 87 86 85 84 8.7 8.6 8.5 8.4 17. 4 26. 1 17. 2 25. 8 17. 25. 5 16. 8 25. 2 34.8 34.4 34.0 33.6 43.5 43.0 42.5 42.0 52.2 51.6 51.0 50.4 60.9 60.2 59.5 58.8 69.6 68.8 68.0 67.2 78.3 77.4 76.5 75.6 187 TABLE 10.-LOGARITHMS OF NUMBERS. No. 545 L. 736.] [No. 584 L. 767. N. 1 2 3 4 5 6 7 8 9 Diff. 545 736397 6476 6556 6635 6715 6795 6874 6954 7034 7113 6 7193 7272 7352 7431 75 11 7590 7670 7749 7 S29 790 8 7 7987 8067 8146 8225 83 )o 8384 8463 8543 8 122 870 1 8 8781 8860 8939 9018 9097 9177 9256 9335 9414 9493 9651 9731 9810 08 ~>9 9968 y Jo 0047 0126 0205 0284 79 550 740363 0442 0521 OGOO 0678 0757 0836 0915 0994 1073 1 1152 1230 1309 1388 14 57 1546 1624 1703 1 7S2 186 ) 2 1939 2018 2096 2175 2254 2332 2411 2489 2568 2647 3 2725 2804 2882 2961 30 $9 3118 3196 3275 3 ',.->:; 343 1 4 3510 3588 3667 3745 3823 3902 3980 4058 4136 4215 5 4293 4371 4449 4528 46 M 4684 4762 4840 4 )19 499 7 6 5075 5153 5231 5309 53 S7 5465 5543 5621 5 199 577 7 78 7 5855 5933 6011 6089 6167 6245 6323 6401 6479 6556 8 6634 6712 6790 6868 69 45 7023 7101 7179 7 256 733 4 9 7412 7489 7567 7645 7722 7800 7878 7955 8033 8110 560 8188 8266 8343 8421 8498 8576 8653 8731 8 S08 8885 1 2 8963 9736 9040 9814 9118 9891 9195 9968 9272 9350 9427 9504 9582 9659 00 i^ 0123 0200 0277 o 1X.A 043 1 3 750508 0586 0663 0740 0817 0894 0971 1048 1125 1202 4 1279 1356 1433 1510 15 >7 1664 1741 1818 1 Sl)5 197 2 5 2048 2125 2202 2279 2356 2433 2509 2586 2663 2740 77 6 2816 2893 2970 3047 31 23 3200 3277 3353 3 430 350 6 7 3583 3660 3736 3813 38 S9 3966 4042 4119 4 195 427 2 8 4348 4425 4501 4578 4654 4730 4807 4883 4960 5036 9 5112 5189 5265 5341 5417 5494 5570 5646 5722 5799 570 5875 5951 6027 6103 6180 6256 6332 6408 6484 6560 1 6636 6712 6788 6864 69 40 7016 7092 7168 7244 7320 76 2 7396 7472 7548 7624 77 K) 7775 7851 7927 8 )()3 807 9 3 8155 8230 8306 8382 8458 8533 8609 8685 8761 8836 4 8912 OfifiS 8988 0740 9063 Q01Q 9139 QOQ4 9214 9970 9290 9366 9441 9517 9592 yooo y /4o ysiy yoy- 0045 0121 0196 0272 0347 6 760422 0498 0573 0649 0724 0799 0875 0950 1025 1101 7 1176 1251 1326 1402 1477 1552 1627 1702 1778 1853 8 1928 2003 2078 2153 22 28 2303 2378 2453 2. 329 260 4 9 2679 2754 2829 2904 2978 3053 3128 3203 3278 3353 75 580 3428 3503 3578 3653 3727 3802 3877 3952 4027 4101 1 4176 4251 4326 4400 44 -5 4550 4624 4699 4 774 484 8 2 4923 499S 5072 5147 52 21 5296 5370 5445 5 520 559 4 3 5669 5743 5818 5892 5966 6041 6115 6190 6264 6338 4 6413 6487 6562 6636 6710 6785 6859 6933 7007 7082 PROPORTIONAL PARTS. Diff. 1 234 5 6 7 8 9 83 8.3 16. 6 24. 9 33. 2 41. 5 49. 8 58.1 66.4 74.7 82 8.2 16. 4 24. 6 32. 8 41. 49. 2 . 57.4 65.6 73.8 81 8.1 16. 2 24. 3 32. 4 40. 5 48. 6 56.7 64.8 72.9 80 8.0 16. 24. 32. 40. 48. 56.0 64.0 72.0 79 7.9 15.8 23.7 31.6 39.5 47.4 55.3 63.2 71.1 78 7.8 15. 6 23. 4 31. 2 39. 46. 8 54.6 62.4 70.2 77 7.7 15. 4 23. 1 30. 8 38. 5 46. 2 53.9 61.6 69.3 76 7.6 15. 2 22. 8 30. 4 38. 45. 6 53.2 60.8 68.4 75 7.5 15.0 22.5 30.0 37. 5 45. 52.5 60.0 67.5 74 7.4 14. 8 22. 2 29. 6 37. 44. 4 51.8 59.2 66.6 188 TABLE 10. LOGARITHMS OF NUMBERS. No. 585 L. 767.] [No. 629 L. 799. N. 1 2 3 4 5 6 7 8 9 Diff. 585 767156 7230 7304 7379 7453 7527 7601 7675 7749 7823 6 7898 7972 8046 8120 X 8194 8268 8342 8416 8490 8564 74 7 8638 8712 8786 8860 8934 9008 9082 9156 9230 9303 r\Q77 f\A C1 Ofxoc; qrqq Qfi73 9746 9820 9894 9968 8 uoi t y4oi yoo yo.?y yo/o 0042 9 770115 0189 0263 0336 0410 0484 0557 0631 0705 0778 590 0852 0926 0999 1073 1146 1220 1293 1367 1440 1514 1 1587 1661 1734 1808 1881 1955 2028 2102 2175 2248 2 2322 2395 2468 2542 2615 2688 2762 2835 2908 2981 3 3055 3128 3201 3274 3348 3421 3494 3567 3640 3713 4 3786 3860 3933 4006 4079 4152 4225 4298 4371 4444 73 5 4517 4590 4663 4736 4809 4882 4955 5028 5100 5173 6 5246 5319 5392 5465 5538 5610 5683 5756 5829 5902 7 5974 6047 6120 6193 6265 6338 6411 6483 6556 6629 8 6701 6774 6846 6919 6992 7064 7137 7209 7282 7354 9 7427 7499 7572 7644 7717 7789 7862 7934 8006 8079 600 8151 8224 8296 8368 8441 8513 8585 8658 8730 8802 1 8874 8947 9019 9091 9163 9236 9308 9380 9452 9524 Qrnft GAAQ 97J.1 Q010 qooe: nqery yoyo yooy /4i yoio yooo yyo/ 0029 0101 0173 0245 72 3 780317 0389 0461 0533 0605 0677 0749 0821 0893 0965 i ^ 4 1037 1109 1181 1253 1324 1396 1468 1540 1612 1684 5 1755 1827 1899 1971 2042 2114 2186 2258 2329 2401 6 2473 2544 2616 2688 2759 2831 2902 2974 3046 3117 7 3189 3260 3332 3403 3475 3546 3618 3689 3761 3832 8 3904 3975 4046 4118 4189 4261 4332 4403 4475 4546 9 4617 4689 4760 4831 4902 4974 5045 5116 5187 5259 610 5330 5401 5472 5543 5615 5686 5757 5828 5899 5970 1 6041 6112 6183 6254 6325 6396 6467 6538 6609 6680 71 2 6751 6822 6893 6964 7035 7106 7177 7248 7319 7390 3 7460 7531 7602 7673 7744 7815 7885 7956 8027 8098 4 8168 8239 8310 8381 8451 8522 8593 8663 8734 8804 5 8875 8946 9016 9087 9157 9228 9299 9369 9440 9510 oroi QAM Q79O Q7Q9 qor.o 9933 yooi yooi 9t& j t y^ youo 0004 0074 0144 0215 7 790285 0356 0426 0496 0567 0637 0707 0778 0848 0918 8 0988 1059 1129 1199 1269 1340 1410 1480 1550 1620 9 1691 1761 1831 1901 1971 2041 2111 2181 2252 2322 620 2392 2462 2532 2602 2672 2742 2812 2882 2952 3022 70 1 3092 3162 3231 3301 3371 3441 3511 3581 3651 3721 2 3790 3860 3930 4000 4070 4139 4209 4279 4349 4418 3 4488 4558 4627 4697 4767 4836 4906 4976 5045 5115 4 5185 5254 5324 5393 5463 5532 5602 5672 5741 5811 5 5880 5949 6019 6088 6158 6227 6297 6366 6436 6505 6 6574 6614 6713 6782 6852 6921 6990 7060 7129 7198 7 7268 7337 7406 7475 7545 7614 7683 7752 7821 7890 8 7960 8029 8098 8167 8236 8305 8374 8443 8513 8.582 9 8651 8720 8789 8858 8927 8996 9065 9134 9203 9272 69 PROPORTIONAL PARTS. Diff. 1 2345 6 789 75 7.5 15.0 22.5 30.0 37.5 45.0 52. 5 60. 67. 5 74 7.4 14.8 22.2 29,6 37.0 44.4 51.8 59.2 66.6 73 7.3 14.6 21.9 29.2 36.5 43.8 51. 1 58. 4 65. 7 72 7.2 14.4 21.6 28.8 36.0 43.2 50. 4 57. 6 64. 8 71 7.1 14.2 21.3 28.4 35.5 42.6 49. 7 56. 8 63. 9 70 7.0 14.0 21.0 28.0 35.0 42.0 49. 56. 63. 69 6.9 13.8 20.7 27.6 34.5 41.4 48. 3 55. 2 62. 1 189 TABLE 10.-LOGARITHMS OF NUMBERS. No. 630 L. 799.] [No. 674 L. 829. N. 1 2 3 4 5 6 1 8 9 Diff. 630 799341 9409 9478 9547 9616 9685 9754 9823 9892 9961 1 800029 0098 0167 0236 0305 . 0373 0442 0511 0580 0648 2 0717 0786 OS54 0923 (>44 QfUO 9676 9741 9807 9873 9939 oou yo^^t yoiu 0004 0070 0136 1 820201 0267 0333 0399 0464 0530 0595 0661 0727 0792 2 0858 0924 0989 1055 1120 1186 1251 1317 1362 1448 3 1514 1579 1645 1710 1775 1841 1906 1972 2037 2103 4 2168 2233 2299 2364 2430 2495 2560 2626 2691 2756 5 2822 2887 2952 3018 3083 3148 j 3213 3279 3344 3409 6 3474 3539 3605 3670 3735 3800 3SG5 3930 3996 4061 7 4126 4191 4256 4321 4386 4451 4516 4581 4646 4711 8 4776 4841 4906 4971 5036 5101 5166 5231 5296 5361 65 9 5426 5491 5556 5621 5686 5751 5815 5880 5945 6010 670 6075 6140 6204 6269 6334 6399 6464 6528 6593 6658 1 6723 6787 6852 6917 6981 7046 7111 7175 7240 7305 2 7369 7434 7499 7563 7628 7692 7757 7821 7886 7951 3 8015 8080 8144 8209 8273 8338 8402 8467 8531 8595 4 8660 8724 8789 8853 8918 8982 | 9046 9111 9175 9239 PKOPOETIONAL PARTS. Diff. 1 2 34 5 6 7 8 9 68 6.8 13.6 20.4 27.2 34.0 40.8 47. 6 54. 4 61.2 67 6.7 13.4 20.1 26.8 33.5 40.2 46. 9 53. 6 60.3 66 6.6 13.2 19.8 26.4 33.0 39.6 46. 2 52. 8 59.4 65 6.5 13.0 19.5 26.0 32.5 39.0 45. 5 52. 58.5 64 6.4 12.8 19.2 25.6 32.0 38.4 44.8 51.2 57.6 190 TABLE 10. -LOGARITHMS OF NUMBERS. No. 675 L. 829.] [No. 719 L. 857. N. 1 2 3 4 *| 6 7 8 9 Difl. I 675 829304 9368 9432 9497 9561 9625 9690 9754 9818 9882 g 9947 0011 0075 0139 0204 0268 0332 0396 0460 0525 7 830589 0653 0717 0781 0845 0909 0973 1037 1102 1166 8 1230 1294 1358 1422 1486 1550 1614 1678 1742 1806 64 9 1870 1934 1998 2062 2126 2189 2253 2317 2381 2445 680 2509 2573 2637 2700 2764 2828 2892 2956 3020 3083 1 3147 3211 3275 3338 3402 3466 3530 3593 3657 3721 2 3784 3848 3912 3975 4039 4103 4166 4230 4294 4357 3 4421 4484 4548 4611 4675 4739 4802 4866 4929 4993 4 5056 5120 5183 5247 5310 5373 5437 5500 5564 5627 5 5691 5754 5817 5881 5944 6007 6071 6134 6197 6261 6324 6387 6451 6514 6577 6641 6704 6767 6830 6894 7 6957 7020 7083 7146 7210 7273 7336 7399 7462 7525 8 75S8 7652 7715 7778 7841 7904 7967 8030 8093 8156 9 8219 8282 8345 8408 8471 8534 8597 8660 8723 8786 63 690 8849 8912 8975 9038 9101 9164 9227 9289 9352 9415 1 9478 9541 9604 9667 9729 9792 9855 9918 9981 0043 2 840106 0169 0232 0294 0357 0420 0482 0545 0608 0671 3 0733 0796 0859 0921 0984 1046 1109 1172 1234 1297 4 1359 1422 1485 1547 1610 1672 1735 1797 1860 1922 5 1985 2047 2110 2172 2235 2297 2360 2422 2484 2547 6 2609 2672 2734 2796 2859 2921 2983 3046 3108 3170 7 3233 3295 3357 3420 3482 3544 3606 3669 3731 3793 8 3855 3918 3980 4042 4104 4166 4229 4291 4353 4415 9 4477 4539 4601 4664 4726 4788 4850 4912 4974 5036 700 5098 5160 5222 5284 5346 5408 5470 5532 5594 5656 62 1 5718 5780 5842 5904 5966 6028 6090 6151 6213 6275 2 6337 6399 6461 6523 6585 6646 6708 6770 6832 6894 3 6955 7017 7079 7141 7202 7264 7326 7388 7449 7511 4 7573 7634 7696 7758 7819 7881 7943 8004 8066 8128 5 8189 8251 8312 8374 8435 8497 8559 8620 8682 8743 6 8805 8866 8928 8989 9051 9112 9174 9235 9297 9358 7 9419 9481 9542 9604 9665 9726 9788 9849 9911 9972 8 850033 0095 0156 0217 0279 0340 0401 0462 0524 0585 9 0646 0707 0769 0830 0891 0952 1014 1075 1136 1197 710 1258 1320 1381 1442 1503 1564 1625 1686 1747 1809 1 1870 1931 1992 2053 2114 2175 2236 2297 2358 2419 2 2480 2541 2602 2663 2724 2785 2846 2907 2968 3029 61 3 3090 3150 3211 3272 3333 3394 3455 3516 3577 3637 4 3698 3759 3820 3881 3941 4002 4063 4124 4185 4245 5 4306 4367 4428 4488 4549 4610 4670 4731 4792 4852 6 4913 4974 5034 5095 5156 5216 5277 5337 5398 5459 7 5519 5580 5640 5701 5761 5822 5882 5943 6003 6064 8 6124 6185 6245 6306 6366 6427 6487 6548 6608 6668 9 6729 6789 6850 6910 6970 7031 7091 7152 7212 7272 PROPORTIONAL PARTS. Diff. 1 2345 6 789 65 6.5 13.0 19.5 26.0 32.5 39.0 45. 5 52. 58. 5 64 6.4 12.8 19.2 25.6 32.0 38.4 44. 8 51. 2 57. 6 63 6.3 12.6 18.9 25.2 31.5 37.8 44. 1 50. 4 56. 7 62 6.2 12.4 18.6 24.8 31.0 37.2 43. 4 49. 6 55. 8 61 6.1 12.2 18.3 24.4 30.5 36.6 42. 7 48. 8 54. 9 60 6.0 12.0 18.0 24.0 30.0 36.0 42. 48. 54. 191 TABLE 10. LOGARITHMS OF NUMBERS. No. 720 L. 857.] [No. 764 L. 883. N. 1 2 3 4 5 6 7 8 9 Diff. 720 857332 7393 7453 7513 7574 7(534 7094 7755 7815 7875 1 7935 7995 8056 SI 16 8176 8236 8297 8:!f)7 8417 8477 2 8537 8597 8057 8718 8778 8838 8898 8958 9018 9078 3 9138 9198 9258 9318 9379 9439 9499 9559 9619 9679 60 4 9739 9799 9859 9918 9978 0038 0098 0158 0218 0278 5 860338 0398 0458 0518 0578 0637 0697 0757 0817 0877 6 0937 0996 1056 1116 1176 1236 1295 1355 1415 1475 7 1534 1594 1654 1714 1773 1833 1893 1952 2012 2072 8 2131 2191 2251 2310 2370 2430 2489 2549 2608 2068 9 2728 2787 2847 2906 2966 3025 3085 3144 3204 3263 730 3323 3382 3442 3501 3561 3620 3680 3739 3799 3858 1 3917 3977 4036 4096 4155 4214 4274 4333 4392 4452 2 4511 4570 4630 4689 4748 4808 4867 4U2li 4985 5045 3 5104 5163 5222 5282 5341 5400 5459 5519 5578 5637 4 5696 5755 5814 5874 5933 5992 6051 6110 (.1(59 6228 5 6287 6346 6405 6465 6524 6583 6642 6701 6760 6819 6 6878 6937 6996 7055 7114 7163 7232 7291 73.50 7409 59 7 7467 7526 7585 7644 7703 7762 7821 7880 7939 7998 8 8056 8115 8174 8233 8292 8350 8-109 8468 8527 8586 9 8644 8703 8762 8821 8879 8938 8997 9056 9114 9173 740 9232 noi o 9290 QC77 9349 QQOC 9408 QQQA 9466 9525 9584 9642 9701 9760 yoJ.c< y&t t yy5o yyy^i 0053 0111 0170 0228 Q907 034 T 2 870404 0462 0521 0579 0638 0696 0755 0813 U o/ 0872 Uo4O 0930 3 0989 1047 1106 1164 1223 1281 1339 1398 1456 1515 4 1573 1631 1C90 1748 1806 1865 1923 1981 2040 2008 5 2156 2215 2273 2331 2389 2448 2506 2564 2622 2681 6 2739 2797 2855 2913 2972 3030 3088 3146 3204 3262 7 3321 3379 3437 3495 3553 3611 3669 3727 3785 3844 8 3902 3960 4018 4076 4134 4192 4250 4308 4366 4424 58 9 4482 4540 4598 4656 4714 4772 4830 4888 4945 5003 750 5061 5119 5177 5235 5293 5351 5409 5466 5524 5582 1 5640 5698 5756 5813 5871 5929 5987 6045 6102 6160 2 6218 6276 6333 6391 6449 6507 6564 6622 C680 6737 3 6795 6853 6910 6968 7026 7083 7141 7199 7256 7314 4 7371 7429 7487 7544 7602 7659 7717 7774 7832 7889 5 7947 8004 8062 8119 8177 8234 8292 8349 8407 8464 6 8522 8579 8637 8694 8752 8809 8866 8924 8981 9039 7 9096 9153 9211 9268 9325 9383 9440 9497 9555 9612 lit TU Q72fi 9784 9841 9898 9956 yuoy y /zo 0013 0070 0127 0185 9 880242 0299 0356 0413 0471 0528 0585 0642 0699 0756 760 0814 0871 0928 0985 1042 1099 1156 1213 1271 1328 1 1385 1442 1499 1556 1613 1670 1727 1784 1841 1898 2 1955 2012 2069 2126 2183 2240 2297 2354 2411 2408 57 I 2525 2581 2638 2695 2752 2809 2866 2923 2980 3037 4 3093 3150 3207 3264 3321 3377 3434 3491 3548 3605 PROPORTIONAL PARTS. Diff. 1 2345 6 789 59 5.9 11.8 17.7 23.6 29.5 35.4 41. 3 47. 2 53. 1 58 5.8 11.6 17.4 23.2 29.0 34.8 40. 6 46. 4 52. 2 57 5.7 11.4 17.1 22.8 28.5 34.2 39.9 45.6 51.3 56 5.6 11.2 16.8 22.4 28.0 33.6 39. 2 44. 8 50. 4 192 TABLE 10.-LOGARITHMS OF NUMBERS. No. 765 L. 883.] [No. 809 L. 908. N. 1 2 3 4 5 6 7 8 9 Diff. 765 883661 3718 3775 3832 3888 3945 4002 4059 4115 4172 6 4229 4285 4342 4399 4455 4512 4569 4625 4682 4739 7 4795 4852 4909 4965 5022 507S 5135 5192 5248 5305 8 5361 5418 5474 5531 5.587 5644 5700 5757 5813 5870 9 5926 5983 6039 6096 6152 6209 6265 6321 6378 6434 770 6491 6547 6604 6660 6716 6773 6829 6885 6942 6998 1 7054 7111 7167 7223 7280 7336 7392 7449 7505 7561 2 7617 7674 7730 7786 7842 7898 7955 8011 8067 8123 3 8179 8236 8292 8348 8404 8460 8516 8573 8629 8685 4 8741 8797 8853 8909 8965 9021 9077 9134 9190 9246 5 9302 9862 9358 9918 9414 9974 9470 9526 9582 9638 9694 9750 9806 56 0030 0086 0141 0197 0253 0309 0365 7 890421 0477 0533 0589 0645 0700 0756 0812 0868 0924 8 0980 1035 1091 1147 1203 1259 1314 1370 1426 1482 9 1537 1593 1649 1705 1760 1816 1872 1928 1983 2039 780 2095 2150 2206 2262 2317 2373 2429 2484 2540 2595 1 2651 2707 2762 2818 2873 2929 2985 3040 3096 3151 2 3207 3262 3318 3373 3429 3484 3540 3595 3651 3706 3 3762 3817 3873 3928 3984 4039 4094 4150 4205 4201 4 4316 4371 4427 4482 4538 4593 4648 4704 4759 4814 5 4870 4925 4980 5036 5091 5146 5201 5257 5312 5367 6 5423 5478 5533 5588 5644 5699 5754 5809 5864 5920 7 5975 6030 6085 6140 6195 6251 6306 6361 6416 6471 8 6526 6581 6636 6692 6747 6802 6857 6912 6967 7022 9 7077 7132 7187 7242 7297 7352 7407 7462 7517 7572 55 790 762 / 7682 7737 7792 7847 7902 7957 8012 8067 8122 1 8176 8231 8286 8341 8396 8451 8506 8561 8615 8670 2 8725 8780 8835 8890 8944 8999 9054 9109 9164 9218 3 A 9273 9821 9328 Q07 C 9383 9930 9437 qqoc 9492 9547 9602 9656 9711 9766 yew o yyoo 0039 0094 0149 0203 0258 0312 5 900367 0422 0476 0531 0586 0640 0695 0749 0804 0859 6 0913 0968 1022 1077 1131 1186 1240 1295 1349 1404 7 1458 1513 1567 1622 1676 1731 1785 1840 1894 1948 8 2003 2057 2112 2166 2221 2275 2329 2384 2438 2492 9 2547 2601 2655 2710 2764 2818 2873 2927 2981 3036 800 3090 3144 3199 3253 3307 3361 3416 3470 3524 3578 1 3633 3687 3741 3795 3849 3904 3958 4012 4066 4120 2 4174 4229 4283 4337 4391 4445 4499 4553 4607 4661 3 4710 4770 4824 4878 4932 4986 5040 5094 5148 5202 4 5256 5310 5364 5418 5472 5526 5580 5634 5688 5742 54 5 5796 5850 5904 5958 6012 6066 6119 6173 6227 6281 6 6335 6389 6443 6497 6551 6604 6658 6712 6766 6820 7 6874 6927 6981 7035 7089 7143 7196 7250 7304 7358 8 7411 7465 7519 7573 7626 7680 7734 7787 7841 7895 9 7949 8002 8056 8110 8163 8217 8270 8324 8378 8431 PROPORTIONAL PARTS. Diff. 1 2345 6 789 57 5.7 11.4 17.1 22.8 28.5 34.2 39.9 45.6 51.3 56 5.6 11.2 16.8 22.4 28.0 33.6 39. 2 44. 8 50. 4 55 5.5 11.0 16.5 22.0 27.5 33.0 38. 5 44. 49. 5 54 5.4 10.8 16.2 21.6 27.0 32.4 37. 8 43. 2 48. 6 41749-10 13 193 TABLE 10. LOGARITHMS OF NUMBERS. No. 810 L. 908.] [No. 854 L. 931. N. 1 2 3 4 5 6 7 8 9 Diff. 810 908485 8539 8592 8646 8699 8753 8807 8860 8914 8967 1 9021 9074 9128 9181 9235 9289 9342 9396 9449 9503 2 9556 9610 9663 9716 9770 9823 9877 9930 9984 on*? 7 3 910091 0144 0197 0251 0304 0358 0411 0464 0518 UUoV 0571 4 0624 0678 0731 0784 08 $ 0891 0944 0998 1051 1104 5 1158 1211 1264 1317 1371 1424 1477 1530 1584 1637 6 1690 1743 1797 1850 19 03 1956 2009 2063 2116 2169 7 2222 2275 2328 2381 24 J5 2488 2541 2594 2647 2700 8 2753 2806 2859 2913 2966 3019 3072 3125 3178 3231 9 3284 3337 3390 3443 3496 3549 3602 3655 3708 3761 53 820 3814 3867 3920 3973 4026 4079 4132 4184 4237 4290 4343 4396 4449 4502 4555 4608 4600 4713 4766 4819 2 4872 4925 4977 5030 50 S3 5136 5189 5241 5294 5347 3 5400 5453 5505 5558 . r )Gll 5664 5716 5769 5822 5875 4 5927 5980 6033 6085 61 18 6191 6243 6296 6349 6401 5 6454 6507 6559 6612 tsf 64 6717 6770 6822 6875 6927 6 6980 7033 7085 7138 1 7190 7243 7295 7348 7400 7453 7 7506 7558 7611 7663 7716 7768 7820 7873 7925 7978 8 8030 8083 8135 8188 82 to 8293 8345 8397 8450 8502 9 8555 8607 8659 8712 8764 8816 8869 8921 8973 9026 830 9078 9130 9183 9235 9287 9340 9392 9444 9496 9549 1 9601 9653 9706 9758 9S 10 9862 9914 9967 r\mn 0071 2 920123 0176 0228 0280 0332 0384 0436 0489 0541 UU/ 1 0593 3 0645 0697 0749 0801 08 33 0906 0958 1010 1062 1114 4 1166 1218 1270 1322 1374 1426 1478 1530 1582 1634 52 5 1686 1738 1790 1842 18 94 1946 1998 2050 2102 2154 6 2206 2258 2310 2362 24 14 2466 2518 2570 2622 2674 7 2725 2777 2829 2881 2933 2985 3037 3089 3140 3192 8 3244 3296 3348 3399 3451 3503 3555 3607 3658 3710 9 3762 3814 3865 3917 3969 4021 4072 4124 4176 4228 840 4279 4331 4383 4434 4486 4538 4589 4641 4693 4744 1 4796 4848 4899 4951 60 13 5054 5106 5157 5209 5261 2 5312 5364 5415 5467 5518 5570 5621 5673 5725 5776 3 5828 5879 5931 5982 60 J4 6085 6137 6188 6240 6291 4 6342 6394 6445 6497 6548 6600 6651 6702 6754 6805 5 6857 6908 6959 7011 70 52 7114 7165 7216 7268 7319 6 7370 7422 7473 7524 75 76 7627 7678 7730 7781 7832 7 7883 7935 7986 8037 8088 8140 8191 8242 8293 8345 8 8396 8447 8498 8549 861 11 8652 8703 8754 8805 8857 9 8908 .8959 9010 9061 9112 9163 9215 9266 9317 9368 850 9419 9930 9470 9981 9521 9572 9623 9674 9725 9776 9827 9879 51 0032 0083 0134 0185 0236 0287 0338 0389 2 930440 0491 0542 0592 0643 0694 0745 0796 0847 0898 3 0949 1000 1051 1102 1153 1204 1254 1305 1356 1407 4 1458 1509 1560 1610 1661 1712 1763 1814 1865 1915 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 789 53 5.3 10.6 15.9 21.2 26.5 31.8 37. 1 42. 4 47. 7 52 5.2 10.4 15. 6 20. 8 26. 31. 2 36.4 41.6 46.8 51 5.1 10.2 15. 3 20. 4 25. 5 30. 6 35.7 40.8 45.9 50 5.0 10.0 15.0 20.0 25. 30. 35. 40. 45. 194 TABLE 10. LOGARITHMS OF NUMBERS. No. 855 L. 931.] [No. 899 L. 954. N. 1 2 3 4 5 6 7 8 9 Diff. 855 9319GG 2017 2068 2118 2169 2220 2271 2322 2372 2423 6 2474 2524 2575 2626 2677 2727 2778 2829 2879 2930 7 2981 3031 3082 3133 3183 3234 3285 3335 3386 3437 8 3487 3538 3589 3639 3690 3740 3791 3841 3892 3943 9 3993 4044 4094 4145 4195 4246 4296 4347 4397 4448 SCO 4498 4549 4599 4650 4700 4751 4801 4852 4902 4953 1 5003 5054 5104 5154 5205 5255 5306 5356 5406 5457 2 5507 5558 5608 5658 5709 5759 5809 5860 5910 5960 3 6011 6061 6111 6162 6212 6262 6313 6363 6413 6463 4 G514 6564 6614 6665 6715 6765 6815 6865 6916 6966 5 7016 7066 7116 7167 7217 7267 7317 7367 7418 7468 6 7518 7568 7618 7668 7718 7769 7819 7869 7919 7969 7 8019 8069 8119 8169 8219 8269 8320 8370 8420 8470 50 8 8520 8570 8620 8670 8720 8770 8820 8870 8920 8970 9 9020 9070 9120 9170 9220 9270 9320 9369 9419 9469 870 9519 9569 9619 9669 9719 9769 9819 9869 9918 9968 1 940018 0068 0118 0168 0218 0267 0317 0367 0417 0467 2 0516 0566 0616 0666 0716 0765 0815 0865 0915 0964 3 1014 1064 1114 1163 1213 1263 1313 1362 1412 1462 4 1511 1561 1611 1660 1710 1760 1809 1859 1909 1958 5 2008 2058 2107 2157 2207 2256 2306 2355 2405 2455 6 2504 2554 2603 2653 2702 2752 2801 2851 2901 2950 7 3000 3049 3099 3148 3198 3247 3297 3346 3396 3445 8 3495 3544 3593 3643 3692 3742 3791 3841 3890 3939 9 3989 4038 4088 4137 4186 4236 4285 4335 4384 4433 880 4483 4532 4581 4631 4680 4729 4779 4828 4877 4927 1 4976 5025 5074 5124 5173 5222 5272 5321 5370 5419 2 5469 5518 5567 5616 5665 5715 5764 5813 5862 5912 3 5961 6010 6059 6108 6157 6207 6256 6305 6354 6403 4 6452 6501 6551 6600 6649 6698 6747 6796 6845 6894 5 6943 6992 7041 7090 7139 7189 7238 7287 7336 7385 6 7434 7483 7532 7581 7630 7679 7728 7777 7826 7875 49 7 7924 7973 8022 8070 8119 8168 8217 8266 8315 8364 8 8413 8462 8511 8560 8608 8657 8706 8755 8804 8853 9 8902 8951 8999 9048 9097 9146 9195 9244 9292 9341 890 1 9390 9878 9439 9926 9488 9975 9536 9585 9634 9683 9731 9780 9829 0024 0073 0121 0170 0219 0267 0316 2 950365 0414 0462 0511 0560 0608 0657 0706 0754 0803 3 0851 0900 0949 0997 1046 1095 1143 1192 1240 1289 4 1338 1386 1435 1483 1532 1580 1629 1677 1726 1775 5 1823 1872 1920 1969 2017 2066 2114 2163 2211 2260 6 2.308 2356 2405 2453 2502 2550 2599 2647 2696 2744 7 2792 2841 2889 2938 2986 3034 3083 3131 3180 3228 8 3276 3325 3373 3421 3470 3518 3566 3615 3663 3711 9 3760 3808 3856 3905 3953 4001 4049 4098 4146 4194 PROPORTIONAL PARTS. Difl. 1 2345 6 789 51 5.1 10.2 15.3 20.4 25.5 30.6 35. 7 40. 8 45. 9 50 5.0 10.0 15.0 20.0 25.0 30.0 35. 40. 45. 49 4.9 9.8 14.7 19.6 24.5 29.4 34. 3 39. 2 44. 1 48 4.8 9.6 14.4 19.2 24.0 28.8 33. 6 38. 4 43. 2 195 TABLE 10. LOGARITHMS OF NUMBKKS. No. 900 L. 954.] [No. 944 L. 975. N. 1 2 3 4 5 6 7 8 9 Diff. 900 954243 4291 4339 4387 4435 4484 4532 4580 4628 4677 1 4725 4773 4821 4869 4918 4966 5014 5062 5110 5158 2 5207 5255 5303 5351 5399 5447 5495 5543 5592 5640 3 5688 5736 5784 5832 5880 5928 5976 6024 6072 6120 4 6168 6216 6265 6313 6361 6409 6457 6505 6553 6601 5 6649 6697 6745 6793 6840 6888 6936 6984 7032 7080 48 6 7128 7176 7224 7272 7320 7368 7416 7464 7512 7559 7 7607 7655 7703 7751 7799 7847 7894 7942 7990 8038 8 8086 8134 8181 8229 8277 8325 8373 8421 8468 8516 9 8564 8612 8659 8707 8755 8803 8850 8898 8946 8994 910 9041 90S9 9137 9185 9232 9280 9328 9375 9423 9471 1 2 9518 9995 9566 9614 9661 9709 9757 9804 9852 9900 9947 0042 OOQfl ni 7ft ni cc QOQQ 02Xft nooc 8376 0.193 3 960471 0518 uuyu 0566 Uloo 0613 UloO 0661 U*Ow 0709 UioU 0756 Uo^o 0804 0851 U-iZo 0899 4 0946 0994 1041 1089 1136 1184 1231 1279 1326 1374 5 1421 1469 1516 1563 1611 1658 1706 1753 1801 1848 6 1895 1943 1990 2038 2085 2132 2180 2227 2275 2322 7 2369 2417 2464 2511 2559 2606 2653 2701 2748 2795 8 2843 2890 2937 2985 3032 3079 3126 3174 3221 3268 9 3316 3363 3410 3457 3504 3552 3599 3640 3693 3741 920 3788 3835 3882 3929 3977 4024 4071 4118 4165 4212 1 4260 4307 4354 4401 4448 4495 4542 4590 4637 4684 2 4731 4778 4825 4872 4919 4966 5013 5061 5108 5155 3 5202 5249 5296 5343 5390 5437 5484 5531 5578 5625 4 5672 5719 5766 5813 5860 5907 5954 6001 6048 6095 47 5 6142 6189 6236 6283 6329 6376 6423 6470 6517 6564 6 6611 6658 6705 6752 6799 6845 6892 6939 6986 7033 7 7080 7127 7173 7220 7267 7314 7361 7408 7454 7501 8 7548 7595 7642 7688 7735 7782 7829 7875 7922 7969 9 8016 8062 8109 8156 8203 8249 8296 8343 8390 8436 930 8483 8530 8576 8623 8670 8716 8763 8810 8856 8903 1 8950 8996 9043 9090 9136 9183 9229 9276 9323 9369 2 9416 QOC9 9463 QQ9W 9509 qqyc 9556 9602 9649 9695 9742 9789 9835 yoo. yy^o yy * o nn9i fW\fi ni i A ni AI 0207 0254 0300 4 970347 0393 0440 UU^l 0486 UUDo 0533 UJ.14 0579 U101 0626 0672 0719 0765 5 0812 0858 0904 0951 0997 1044 1090 1137 1183 1229 6 1276 1322 1369 1415 1461 1508 1554 1601 1647 1693 7 1740 1786 1832 1879 1925 1971 2018 2064 2110 2157 8 2203 2249 2295 2342 2388 2434 2481 2527 2573 2619 9 2666 2712 2758 2804 2851 2897 2943 2989 3035 3082 940 3128 3174 3220 3266 3313 3359 3405 3451 3497 3543 1 3590 3636 3682 3728 3774 3820 3866 3913 3959 4005 2 4051 4097 4143 4189 4235 4281 4327 4374 4420 4466 3 4512 4558 4604 4650 4696 4742 4788 4834 4880 4926 4 4972 5018 5064 5110 5156 5202 5248 5294 5340 5386 46 PROPORTIONAL PARTS. Diff. 1 23456 789 47 4.7 9.4 14.1 18.8 23.5 28.2 32. 9 37. 6 42. 3 46 4.6 9.2 13.8 18.4 23.0 27.6 32.2 36.8 41.4 196 TABLE lO.-LOGARITHMS OF NUMBERS. No. 945 L. 975.] INo. 989 L. 995. N. 1 2 3 4 5 6 7 8 9 Diff. 945 975432 5478 5524 5570 5616 5662 5707 5753 5799 5845 6 5891 5937 5983 6029 6075 6121 6167 6212 6258 6304 7 6350 6390 6442 6488 65, 53 6579 6625 6671 6717 6763 8 6808 6854 6900 6946 69< )2 7037 7083 7129 7175 7220 9 7266 7312 7358 7403 7449 7495 7541 7586 7632 7678 950 7724 7769 7815 7861 7906 7952 7998 8043 8089 8135 1 8181 8226 8272 8317 83 3 8409 8454 8500 8546 8591 2 8637 8683 8728 8774 88 L9 8865 8911 8956 9002 9047 3 9093 9138 9184 9230 9275 9321 9366 9412 9457 9503 4 9548 9594 9639 9685 9730 9776 9821 9867 9912 9958 5 980003 0049 0094 0140 0185 0231 0276 0322 0367 0412 6 0458 0503 0549 0594 0640 0685 0730 0776 0821 0867 7 0912 0957 1003 1048 10< tt 1139 1184 1229 1275 1320 8 1366 1411 1456 1501 1547 1592 1637 1683 1728 1773 9 1819 1864 1909 1954 2000 2045 2090 2135 2181 2226 960 2271 2316 2362 2407 2452 2497 2543 2588 2633 2678 1 2723 2769 2814 2859 2904 2949 2994 3040 3885 3130 2 3175 3220 3265 3310 33, 56 3401 3446 3491 3536 3581 3 3626 3671 3716 3762 3807 3852 3897 3942 3987 4032 4 4077 4122 4167 4212 42 37 4302 4347 4392 4437 4482 5 4527 4572 4617 4662 4707 4752 4797 4842 4887 4932 45 6 4977 5022 5067 5112 51 57 5202 5247 5292 5337 5382 7 5426 5471 5516 5561 5606 5651 5696 5741 5786 5830 8 5875 5920 5965 6010 60, 35 6100 6144 6189 6234 6279 9 6324 6369 6413 6458 6503 6548 6593 6637 6682 6727 970 6772 6817 6861 6906 6951 6996 7040 7085 7130 7175 1 7219 7264 7309 7353 73 )8 7443 7488 7532 7577 7622 2 7666 7711 7756 7800 7845 7890 7934 7979 8024 8068 3 8113 8157 8202 8247 82- 91 8336 8381 8425 8470 8514 4 8559 8604 8648 8693 8737 8782 8826 8871 8916 8960 5 9005 9049 9094 9138 91 33 9227 9272 9316 9361 9405 6 9450 9494 9539 9583 M 28 9672 9717 9761 9806 9850 7 9895 9939 9983 0028 00 -<> 0117 0161 0206 0^0 AOQJ 8 990339 0383 0428 0472 0516 0561 0605 0650 u^ou 0694 uzy4 0738 9 0783 0827 0871 0916 0960 1004 1049 1093 1137 1182 980 1226 1270 1315 1359 1403 1448 1492 1536 1580 1625 1 1669 1713 1758 1802 18 16 1890 1935 1979 2023 2067 2 2111 2156 2200 2244 22 ss 2333 2377 2421 2465 2509 3 2554 2598 2642 2686 2730 2774 2819 2863 2907 2951 4 2995 3039 3083 3127 31 72 3216 3260 3304 3348 3392 5 3436 3480 3524 3568 3613 3657 3701 3745 3789 3833 6 3877 3921 3965 4009 40 53 4097 4141 4185 4229 4273 7 4317 4361 4405 4449 44 4537 4581 4625 4669 4713 44 8 4757 4801 4845 4889 4933 4977 5021 5065 5108 5152 9 5196 5240 5284 5328 5372 5416 5460 5504 5547 5591 PROPORTIONAL PARTS. Diff. 1 234 5 6 .789 46 4.6 9.2 13.8 18.4 23.0 27.6 32.2 36.8 41.4 45 4.5 9.0 13.5 18.0 22.5 27.0 31.5 36.0 40.5 44 4.4 8. 8 13. 2 17. 6 22.0 26.4 30. 8 35. 2 39. 6 43 4.3 8. 6 12. 9 17. 2 21.5 25.8 30. 1 34. 4 38. 7 197 TABLE 10. LOGARITHMS OF NUMBERS. No. 990 L. 995.] [No. 999 L. 999. N. 1 2 3 4 5 6 7 8 9 Diff. 990 995635 5679 5723 5767 5811 5854 5898 5942 5986 6030 1 6074 6117 6161 6205 6249 6293 6337 6380 6424 6468 44 2 6512 6555 6599 6643 6687 6731 6774 6818 6862 6906 3 6949 6993 7037 7080 7124 7168 7212 7255 7299 7343 4 7386 7430 7474 7517 7561 7605 7648 7692 7736 7779 5 7823 7867 7910 7954 7998 8041 8085 8129 8172 8216 6 8259 8303 8347 8390 8434 8477 8521 8564 8608 8652 7 8695 8739 8782 8826 8869 8913 8956 9000 9043 9087 8 9131 9174 9218 9261 9305 9348 9392 9435 9479 9522 9 9565 9609 9652 9696 9739 9783 9826 9870 9913 9957 43 198 TABLE ll.-CONVERGENCY OP MERIDIANS, SIX MILES LONG AND SIX MILES APART, AND DIFFERENCES OF LATITUDE AND LONGITUDE. Lat. Convergency. Difference of longitude per range. Difference of latitude for On the parallel. Angle. In arc. In time. Imi. ITp. Lks. i n / n Seconds. 25 33.9 2 25 5 44.34 22.96 26 27 35.4 37.0 2 32 2 39 5 47. 20 5 50.22 23.15 23.35 0.871 5.229 28 38.6 2 46 5 53.40 23.56 29 40.2 2 53 5 56.74 23.78 30 41.9 3 6 0.26 24.02 31 43.6 3 7 6 3.97 24.26 32 45.4 3 15 6 7.87 24.52 0.871 5.225 33 47.2 3 23 6 11. 96 24.80 34 49.1 3 30 6 16.26 25.08 35 50.9 3 38 6 20.78 25.39 36 52.7 3 46 6 25.53 25.70 37 54.7 3 55 6 30.52 26.03 0.870 5.221 38 56.8 4 4 6 35.76 26.38 39 58.8. 4 13 6 41.27 26.75 40 60.9 4 22 6 47.06 27.14 41 63.1 4 31 6 53.15 27.54 42 65.4 4 41 6 59.56 27.97 0.869 5.216 43 67.7 4 51 7 6.29 28.42 44 70.1 5 1 7 13. 39 28.89 45 72.6 5 12 7 20.86 29.39 46 75.2 5 23 7 28.74 29.92 47 77.8 5 34 7 37.04 30.47 0.869 5.211 48 80.6 5 46 7 45.80 31.05 49 83.5 5 59 7 55.05 31.67 50 86.4 6 12 8 4.83 32.32 51 89.6 6 25 8 15.17 33. 03 52 92.8 6 39 8 26.13 33.74 0.868 5.207 53 96.2 6 54 8 37.75 34.52 54 99.8 7 9 8 50.07 35.34 55 103.5 7 25 9 3.18 36.22 56 107.5 7 42 9 17. 12 37.14 57 111.6 8 9 31.97 38.13 0.867 5.202 58 116.0 8 19 9 47.83 39.19 59 120.6 8 38 10 4.78 40.32 60 125.5 8 59 10 22.94 41.52 61 130.8 9 22 10 42.42 42.83 62 136.3 9 46 11 3. 38 44.22 0.866 5.198 63 142.2 10 11 11 25.97 45.73 64 148.6 10 38 11 50.37 47. 36 . 65 155.0 11 8 12 16. 82 49.12 66 162.8 11 39 12 45.55 51.04 67 170.7 12 13 13 16. 88 53. 12 0.866 5.195 68 179.3 12 51 13 51.15 55.41 69 188.7 13 31 14 28.77 57.92 70 199.1 14 15 15 10. 26 60.68 0.866 5.193 199 TABLE 12. AZIMUTHS OP THE TANGENT TO THE PARALLEL. Lat. Imi. 2 mi. 3 mi. 4 mi. 5 mi. 6 mi. 25 89 59.6 89 59.2 89 58.8 89 58.4 89 58.0 89 57.6 26 59.6 59.2 58.7 58.3 57.9 57.5 27 59.6 59.1 58.7 58.2 57.8 57.4 28 59.5 59.1 58.6 58.2 57.7 57.2 29 59.5 59.0 58.6 58.1 57.6 57.1 30 59.5 59.0 58.5 58.0 57.5 57.0 31 59.5 59.0 58.4 87.9 57.4 56.9 32 59.5 58.9 58.4 57.8 57.3 56.8 33 59.4 58.9 58.3 57.7 57.2 56.6 34 59.4 58.8 58.2 57.7 57.1 56.5 35 59.4 58.8 58.2 57.6 57.0 56.4 36 59.4 58.7 58.1 57.5 56.9 56. 2 37 59.3 58.7 58.0 57.4 56.7 56.1 38 59.3 58.6 58.0 57.3 56.6 55.9 39 59.3 58.6 57.9 57.2 56.5 55.8 40 59.3 58.5 57.8 57.1 56.4 55.6 41 59.2 58.5 57.7 57.0 56.2 55.5 42 59.2 58.4 57.7 56.9 56.1 55.3 43 59.2 58.4 57.6 56.8 56.0 55.2 44 59.2 58.3 57.5 56.7 55.8 55.0 45 59.1 58.3 57.4 56.5 55.7 54.8 46 59.1 58.2 57.3 56.4 55.5 54.6 47 59.1 58.1 57.2 56.3 55.4 54.4 48 59.0 58.1 57.1 56.2 55.2 54.2 49 59.0 58.0 57.0 56.0 55.0 54.0 50 59.0 57.9 56.9 55.9 54.8 53.8 51 58.9 57.0 56.8 55.7 54.6 53.6 52 58.9 57.8 56.7 55.6 54.5 53.4 53 58.8 57.7 56.6 55.4 54.2 53.1 54 58.8 57.6 56.4 55.2 54.0 52.8 55 58.8 57.5 56.3 55.1 53.8 52.6 56 58.7 57.4 56.2 54.9 53.6 52.3 57 58.7 57.3 56.0 54.7 53.3 52.0 58 58.6 57.2 55.8 54.5 53.1 51.7 59 58.6 57.1 55.7 54.2 52.8 51.4 60 58.5 57.0 55.5 54.0 52.5 51.0 61 58.4 56.9 55.3 53.8 52.2 50.6 62 58.4 56.7 55.1 53.5 51.9 50.2 63 58.3 56.6 54.9 53.2 51.5 49.8 64 58.2 56.5 54.7 52.9 51.1 49.4 65 58.1 56.3 54.4 52.6 50.7 48.9 66 58.1 56.1 54.2 52.2 50.3 48.4 67 58.0 55.9 53.9 51.8 49.8 47.8 68 57.9 55.7 53.6 51.4 49.3 47.2 69 57.8 55.5 53.2 51.0 48.8 46.5 70 89 57.6 89 55.3 89 52.9 89 50.5 89 48.1 89 45.8 200 TABLE 13. OFFSETS, IN LINKS, FROM THE TANGENT TO THE PARALLEL. Lat. & Imi. m mi. 2 mi. 2% mi. 3 mi. 3H mi. 4ml. 4^ mi. 5 mi. 5K mi. 6 mi. 25 1 2 3 4 6 8 10 12 14 17 26 1 2 3 4 6 8 10 12 15 18 27 1 1 2 3 5 6 8 10 13 16 18 28 1 1 2 3 5 7 9 11 13 16 19 29 1 1 2 3 5 7 9 11 14 17 20 30 1 1 2 4 5 7 9 12 15 18 21 31 1 1 2 4 5 7 10 12 15 18 22 32 1 1 3 4 6 8 10 13 16 19 23 33 1 1 3 4 6 8 10 13 16 20 24 34 1 2 3 4 6 8 11 14 17 21 25 35 1 2 3 4 6 8 11 14 18 21 25 36 1 2 3 5 7 9 12 15 18 22 26 37 1 2 3 5 7 9 12 15 19 23 27 38 1 2 3 5 7 10 13 16 20 24 28 39 1 2 3 5 7 10 13 17 20 25 29 40 1 2 3 5 8 10 14 17 21 26 30 41 1 2 4 5 8 11 14 18 22 27 32 42 1 2 4 6 8 11 15 18 23 27 33 43 1 2 4 6 8 11 15 19 24 28 34 44 1 2 4 6 9 12 16 20 24 29 35 45 1 2 4 6 9 12 16 20 25 30 36 46 1 2 4 7 9 13 17 21 26 32 38 47 1 2 4 7 10 13 17 22 27 33 39 48 1 3 4 7 10 14 18 23 28 34 40 49 1 3 5 7 10 14 19 23 29 35 42 50 1 3 5 8 11 15 19 24 30 36 43 51 1 3 5 8 11 15 20 25 31 38 45 52 1 3 5 8 12 16 21 26 32 39 46 53 1 3 5 8 12 16 21 27 33 40 48 54 1 3 6 9 12 17 22 28 35 42 50 55 1 3 6 9 13 18 23 29 36 43 52 56 1 3 6 9 13 18 24 30 37 45 54 57 2 3 6 10 14 19 25 31 39 47 56 58 2 4 6 10 14 20 26 33 40 49 58 59 2 4 7 10 15 20 27 34 42 51 60 60 2 4 7 11 16 21 28 35 44 53 63 61 2 4 7 11 16 22 29 37 45 55 65 62 2 4 8 12 17 23 30 38 47 57 68 63 2 4 8 12 18 24 32 40 49 60 71 64 1 2 5 8 13 19 25 33 42 52 62 74 65 1 2 5 9 13 19 26 34 44 54 65 78 66 1 2 5 9 14 20 28 36 46 57 68 81 67 1 2 5 9 15 21 29 38 48 59 72 85 68 1 2 6 10 16 22 30 40 50 62 75 90 69 1 3 6 10 16 24 32 42 53 66 79 94 70 1 3 6 11 17 25 34 44 56 69 84 100 201 TABLE 14. AZIMUTHS OF THE SECANT. Lat. Omi. Imi. 2 mi. 3 mi. Deflection angle 6 mi. / O / 1 / n 25 89 58.8 89 59.2 89 59.6 90 2 25 26 58.7 59.2 59.6 E. orW. 2 32 27 58.7 59.1 59.6 2 39 28 58.6 59.1 59.5 i (i 2 46 29 58.6 59.0 59.5 t 2 53 30 58.5 59.0 59.5 i a 3 31 58.4 59.0 59.5 i n 3 7 32 58.4 58.9 59.5 3 15 33 58.3 58.9 59.4 i tt 3 23 34 58.2 58.8 59.4 < u 3 30 35 58.2 58.8 59.4 , u 3 38 36 58.1 58.7 59.4 I 11 3 46 37 58.0 58.7 59.3 I 11 3 55 38 58.0 58.6 59.3 I 11 4 4 39 57.9 58.6 59.3 I 11 4 13 40 57.8 58.5 59.3 < It 4 22 41 57.7 58.5 59.2 ( II 4 31 42 57.7 58.4 59.2 t It 4 41 43 57.6 58.4 59.2 1 It 4 51 44 57.5 02 58- 3 59.2 I It 5 1 45 57.4 58.3 59.1 1 tt 5 12 46 57.3 58.2 59.1 1 It 5 23 47 57.2 58.1 59.1 I It 5 34 48 57.1 58.1 59.0 t It 5 46 49 57.0 58.0 59.0 1 It 5 59 50 56.9 57.9 59.0 1 It 6 12 51 56.8 57.9 58.9 1 It 6 25 52 56.7 57.8 58.9 1 If 6 39 53 56.6 57.7 58.8 1 It 6 54 54 56.4 57.6 ,1 58.8 I 11 7 9 55 56.3 57.5 58.8 I 11 7 25 56 56.2 57.4 58.7 t It 7 42 "57 56.0 57.3 58.7 I It 8 58 55.8 57.2 58.6 I It 8 19 59 55.7 57.1 58.6 1 11 8 38 60 55.5 57.0 58.5 1 It 8 59 61 55.3 56.9 58.4 1 It 9 22 62 55.1 56.7 58.4 I It 9 46 63 54.9 56.6 58.3 I It 10 11 64 54.7 56.5 58.2 1 It 10 38 65 54.4 56.3 58.1 1 It 11 8 66 54.2 56.1 58.1 1 It 11 39 67 53.9 55.9 58.0 1 It 12 13 68 53.6 55.7 57.9 1 11 12 51 69 53.2 55.5 57.8 1 ft 13 31 70 89 52.9 89 55.3 89 57.6 It It It 14 15 6 mi. 5 mi. 4 mi. 3 mi. TABLE 15.-OFFSETS, IN LINKS, FHOM THE SECANT TO THE PARALLEL. Lat. mi. J-2 mi. Imi. li^mi. 2 mi. 2}^ mi. 3 mi. 25 2N. IN. IS. IS. as! 28. 26 2 1 1 1 2 2 27 3 1 1 2 2 2 28 3 1 1 2 2 2 29 3 1 1 2 2 2 30 3 1 1 2 2 2 31 3 1 1 2 2 2 32 3 1 1 2 2 3 33 3 1 1 2 2 3 34 3 2 1 2 3 3 35 4 2 1 2 3 3 36 4 2 1 2 3 3 37 4 2 1 2 3 3 38 4 2 1 2 3 3 39 4 2 1 2 3 3 40 4 2 I 3 3 3 41 4 2 2 3 3 4 42 5 2 2 3 3 4 43 5 2 2 3 4 4 44 5 2 2 3 4 4 45 5 2 2 3 4 4 46 5 2 2 3 4 4 47 5 2 2 3 4 4 48 6 3 2 3 4 4 49 6 3 2 3 4 5 50 6 3 2 4 4 5 51 6 3 2 4 5 5 52 6 3 2 4 5 5 53 7 3 2 4 5 5 54 7 3 2 ' 4 5 6 55 7 3 3 4 5 6 56 7 3 3 4 6 6 57 8 3 3 5 6 6 58 8 4 3 5 6 6 59 8 4 3 5 6 7 60 9 4 3 5 7 7 61 9 4 3 5 7 7 62 9 4 3 6 7 8 63 10 4 3 6 7 8 64 10 5 4 6 8 8 65 11 5 4 6 8 9 66 11 5 4 7 8 9 67 12 5 4 7 9 9 68 12 6 4 7 9 10 69 13 6 5 8 10 10 70 14 N. 6N. 5S. 88. 10 S. 11 S. 6 mi. 5^ mi. 5 mi. 4H mi. 4 mi. 3^mi. 3 mi. 203 TABLE 16.-LENGTHS OP ARCS OF THE EARTH'S SURFACE. Lengths of degrees of the parallel. Lengths of degrees of the meridian. Lat. Statute miles. Lat. Statute miles. Lat. Statute miles. 25 62.729 / 47 30 46. 818 25 68.829 30 62.473 48 46. 372 26 68.839 26 62. 212 30 45. 922 27 68.848 30 61.946 49 45. 469 28 68.858 27 61. 676 30 45. 012 29 68.869 30 61.401 50 44.552 30 68.879 28 61. 122 30 44.088 31 68. 890 30 60.837 51 43. 621 32 68.901 29 60.548 30 43. 150 33 68. 912 30 60.254 52 42. 676 34 68.923 30 59. 956 30 42. 199 35 68.935 30 59.653 53 41.719 36 68.946 31 59.345 30 41.235 37 68.958 30 59.033 54 40. 749 38 68.969 32 58. 716 30 40. 259 39 68. 981 30- 58. 396 55 39. 766 40 68.993 33 58.071 30 39. 270 41 69.006 30 57. 741 56 38. 771 42 69. 018 34 57.407 30 38. 269 43 69. 030 30 57.068 57 37.764 44 69.042 35 56.725 30 37.256 45 69.054 30 56. 378 58 36.745 46 69.066 36 56.027 30 36.232 47 69. 079 30 55.671 59 35.716 48 69.091 37 55.311 30 35.196 49 69. 103 30 54. 947 60 34. 674 50 69. 115 38 54.579 30 34. 150 51 69. 127 30 54.206 61 33.623 52 69. 139 39 53.829 30 33.093 53 69. 151 30 53. 448 62 32.560 54 69.163 40 53.063 30 32.025 55 69. 175 30 52. 674 63 31. 488 56 69. 186 41 52. 281 30 30. 948 57 69. 197 30 51.884 64 30. 406 58 69.209 42 51.483 30 29.862 59 69. 220 30 51.078 65 29.315 60 69. 230 43 50.669 30 28. 766 61 69. 241 30 50.257 66 28. 215 62 69.251 44 49.840 30 . 27.661 63 69. 2fil 30 49. 419 67 27.106 64 69. 271 45 48.995 30 26.548 65 69. 281 30 48. 567 68 25.988 66 69. 290 46 48. 136 30 25.426 67 69.299 30 47.700 69 24. 862 68 69. 308 47 47. 261 30 24.297 69 69. 316 47 30 46. 818 70 23.729 70 69.324 The lengths of degrees of the meridian are tabulated to correspond to the length of the arc of which the tabulated latitude is the middle, thus the quantity 68.993, oppo- site latitude 40 0' is the number of miles between latitude 39 30' and 40 30 7 . The above table is an abridgment ol a table published by the U. S. Coast and Geodetic Survey based on the values of the Clarke spheroid. 204 TABLE 17. -APPARENT TIME OP SUNSET FOR N. DECLINATIONS, OB SUNRISE FOR S. DECLINATIONS. Latitude. Sun's Decl. 25 30 35 40 45 , ft TO h m ft m ft m ft m 6 6 6 6 6 1 6 2 6 2 6 3 6 3 6 4 2 6 4 6 5 6 6 6 7 6 8 3 6 6 6 7 6 8 6 10 6 12 4 6 7 6 9 6 11 6 13 6 16 5 6 9 6 12 6 14 6 17 6 20 6 6 11 6 14 6 17 6 20 6 24 7 6 13 6 16 6 20 6 24 6 28 8 6 15 6 19 6 23 6 27 6 32 9 6 17 6 21 6 25 6 31 6 36 10 6 19 6 23 6 28 6 34 6 41 11 6 21 6 26 6 31 6 38 6 45 12 6 23 6 28 6 34 6 41 6 49 13 6 25 6 31 6 37 6 45 6 53 14 6 27 6 33 6 40 6 48 6 58 15 6 29 6 36 6 43 6 52 7 2 16 6 31 6 38 6 46 6 56 7 7 17 6 33 6 41 6 49 6 59 7 11 18 6 35 6 43 6 53 7 3 7 16 19 6 37 6 46 6 56 7 7 7 21 20 6 39 6 49 6 59 7 11 7 25 21 6 41 6 51 7 2 7 15 7 30 22 6 43 6 54 7 6 7 19 7 35 23 6 46 6 57 7 9 7 23 7 40 23 27 6 47 6 58 7 11 7 25 7 43 Latitude. Sun's Decl. 50 55 60 65 70 h m 6 h m 6 ft m 6 ft m 6 ft m 6 1 6 5 6 6 6 7 6 9 6 11 2 6 10 6 11 6 14 6 17 6 22 3 6 14 6 17 6 21 6 26 6 33 4 6 19 6 23 6 28 6 34 6 44 5 6 24 6 29 6 35 6 42 6 56 6 6 29 6 35 6 42 6 52 7 7 7 6 34 6 40 6 49 7 7 19 8 6 39 6 46 6 56 7 10 7 31 9 6 44 6 52 7 4 7 19 7 43 10 6 49 6 58 7 11 7 29 7 56 11 6 54 7 4 7 19 7 39 8 9 12 6 59 7 11 7 26 7 48 8 23 13 7 4 7 17 7 34 7 59 8 37 14 7 9 7 23 7 42 8 9 8 53 15 7 14 7 30 7 51 8 20 9 10 16 7 20 7 37 7 59 8 32 9 28 17 7 25 7 44 8 8 8 44 9 48 18 7 31 7 51 8 17 8 57 10 13 19 7 37 7 58 8 26 9 10 10 44 20 7 43 8 5 8 36 9 25 12 00 21 7 49 8 13 8 47 9 42 22 7 55 8 21 8 58 10 23 8 2 8 29 9 9 10 22 23 27 8 5 8 33 9 15 10 34 205 TABLE 18. CONVERSION OF DEGREES TO TIME, AND TIME TO DEGREES. To reduce degrees to time. To reduce time to degrees. H. M. H. M. M. / M. , ' M.S. ' M.S. b/i || 13 r* i t/) S. ' " S. ' " " S. T. " S. T. & K 3 1 1 T. // /// T. " '" 1 4 51 3 24 101 6 44 i 15 1 15 51 12 45 2 8 52 3 28 102 6 48 1H 22y 2 2 30 52 13 3 12 53 3 32 103 6 52 2 30 3 045 53 13 15 4 16 54 3 36 104 6 56 2y 2 WA 4 1 54 13 30 5 20 55 3 40 105 7 3 45 5 1 15 55 13 45 6 24 56 3 44 106 7 4 3^ 52^ 6 1 30 56 14 7 28 57 3 48 107 7 8 4 60 7 1 45 57 14 15 8 32 58 3 52 108 7 12 VA 6iy 2 8 2 58 14 30 9 36 59 3 56 109 7 16 5 75 9 2 15 59 14 45 10 40 60 4 110 7 20 VA 82^ 10 2 30 60 15 11 44 61 4 4 115 7 40 6 90 11 2 45 61 15 15 12 48 62 4 8 120 8 6^ 97^ 12 3 62 15 30 13 52 63 4 12 125 8 20 7 105 13 3 15 63 15 45 14 56 64 4 16 130 8 40 1 1 A H2J4 14 3 30 64 16 15 1 65 4 20 135 9 8 120 15 3 45 65 16 15 16 1 4 66 4 24 140 9 20 8 1 A 127H 16 4 66 16 30 17 1 8 67 4 28 145 9 40 9 135 17 4 15 67 16 45 18 1 12 68 4 32 150 10 9^ 142H 18 4 30 68 17 19 1 16 69 4 36 155 10 20 10 150 19 4 45 69 17 15 20 1 20 70 4 40 160 10 40 10# 157^ 20 5 70 17 30 21 1 24 71 4 44 165 11 11 165 21 5 15 71 17 45 22 1 28 72 4 48 170 11 20 HH 172Ji 22 5 30 72 18 23 1 32 73 4 52 175 11 40 12 180 23 5 45 73 18 15 24 1 36 74 4 56 180 12 12J4 187^ 24 6 74 1830 25 1 40 75 5 185 12 20 13 195 25 6 15 75 18 45 26 1 44 76 5 4 190 12 40 i*H 202y 2 26 6 30 76 19 27 1 48 77 5 8 195 13 14 210 27 6 45 77 19 15 28 1 52 78 5 12 200 13 20 14H 217^ 28 7 78 19 30 29 1 56 79 5 16 205 13 40 15 225 " 29 7 15 79 19 45 30 2 80 5 20 210 14 15K 232^ 30 7 30 80 20 31 2 4 81 5 24 215 14 20 16 240 31 7 45 81 20 15 32 2 8 82 5 28 220 14 40 16H 247^ 32 8 82 20 30 33 2 12 83 5 32 225 15 17 255 33 8 15 83 2045 34 2 16 84 5 36 230 1520 17H 262H 34 8 30 84 21 35 2 20 85 5 40 235 15 40 18 270 35 8 45 85 21 15 36 2 24 86 5 44 240 16 18Ji 277^ 36 9 86 21 30 37 2 28 87 5 48 245 16 20 19 285 37 9 15 87 21 45 38 2 32 88 5 52 250 16 40 19H 292^ 38 9 30 88 22 39 2 36 89 5 56 255 17 20 300" 39 9 45 89 22 15 40 2 40 90 6 260 17 20 20H 307^ 40 10 90 22 30 41 2 44 91 6 4 270 18 21 315 41 10 15 91 22 45 42 2 48 92 6 8 280 18 40 21 1 A 322K 42 10 30 92 23 43 2 52 93 6 12 290 19 20 22 330 " 43 10 45 93 23 15 44 2 56 94 6 16 300 20 22H 3373^ 44 11 94 23 30 45 3 95 6 20 310 20 40 23 345 45 11 15 95 23 45 46 3 4 96 6 24 320 21 20 23^ 352J^ 46 11 30 96 24 47 3 8 97 6 28 330 22 24 360 47 11 45 97 24 15 48 3 12 98 6 32 340 2240 48 12 98 24 30 49 3 16 99 6 36 350 23 20 49 12 15 99 24 45 50 3 20 100 6 40 360 24 50 12 30 100 25 206 TABLE 19. SIDEREAL CONVERSIONS. Longitude. 0' 2 30' 5 0' 7 30' 10 0' 12 30' 15 0' Minutes. Long. Hours. 10 20 30 40 50 GO m$t TO s m s TO s m s TO s TO S TO S 2 3 5 7 8, 10 15 1 10 11 13 15 16 18 20 30 2 20 21 23 25 26 28 30 45 3 30 31 33 34 36 38 39 60 4 39 41 43 44 46 48 49 75 5 49 51 53 54 56 57 59 90 6 59 1 1 1 2 1 4 1 6 1 7 1 9 105 7 1 9 1 11 1 12 1 14 1 15 1 17 1 19 120 8 1 19 1 20 1 22 1 24 1 25 1 27 1 29 135 9 1 29 1 30 1 32 1 34 1 35 1 37 1 38 150 10 1 38 1 40 1 42 1 43 1 45 1 47 1 48 165 11 1 48 1 50 1 52 1 53 1 55 1 56 I 58 180 12 1 58 2 2 1 2 3 2 5 2 6 2 8 195 13 2 8 2 10 2 11 2 13 2 15 2 16 2 18 210 14 2 18 2 19 2 21 2 23 2 24 2 26 2 28 225 15 2 28 2 29 2 31 2 33 2 34 2 36 2 37 240 16 2 37 2 39 2 41 2 42 2 44 2 46 2 47 255 17 2 47 2 49 2 51 2 52 2 54 2 56 2 57 270 18 2 57 2 59 3 3 2 3 4 3 5 3 7 285 19 ,3 7 3 9 3 10 3 12 3 14 3 15 3 17 300 20 3 17 3 18 3 20 3 22 3 23 3 25 3 27 315 21 3 27 3 28 3 30 3 32 3 33 3 35 3 37 330 22 3 37 3 38 3 40 3 41 3 43 3 45 3 46 345 23 3 46 3 48 3 50 3 51 3 53 3 55 3 56 Hours. Sidereal into mean solar time: To be subtracted from a sidereal time interval: Argument hours and minutes of sidereal interval. Mean Solar into sidereal time: To be added to a mean time interval: Argument hours and minutes of mean time interval. Upper culmination of Polaris: Amount to be subtracted from the Greenwich mean time of upper culmination of Polaris, or of elongation, to obtain the local mean time of upper culmination, or of elongation: Argument longitude west from Greenwich. The above table is an abridged mean of two tables given in the American Ephem- eris and Nautical Almanac for similar conversions; reductions involving a refine- ment exceeding 0.8 seconds must be made from the more elaborate tables. 207 TABLE 20.-MEAN REFRACTIONS IN ZENITH DISTANCE. Bar.=29.6 Ins. Temp.=50 F. Apparent altitude. Refraction. Apparent altitude. Refraction. Apparent altitude. Refraction. 7 30 6 53 12 4 25 o 25 2 3 40 45 12 30 15 26 1 58 7 50 37 13 4 5 27 53 8 30 13 30 3 56 28 48 10 22 14 47 29 44 20 15 14 30 39 30 40 30 8 15 32 32 32 40 6 2 15 30 25 34 25 8 50 5 55 16 19 36 19 9 49 16 30 13 38 14 10 43 17 7 40 9 20 38 17 30 3 1 42 4 30 32 18 2 56 44 1 40 26 18 30 51 ft 56 9 50 21 19 46 48 52 10 16 19 30 42 50 48 20 5 6 20 37 55 40 10 40 4 57 21 29 60 33 11 48 22 22 65 27 20 40 23 15 70 21 11 40 32 24 9 80 10 12 4 25 25 2 3 90 SUN'S PARALLAX IN ALTITUDE. 26 48 63 77 90 Sun's parallax 8". 9 8" 6" 4" 2" 0" 208 TABLE 21.-COEFFICIENTS TO APPLY TO MEAN REFRACTIONS FOR VARIATIONS IN BAROMETER AND TEMPERATURE. Barome- ter. Eleva- tion above sea level. Coeffi- cient. Barome- ter. Eleva- tion above sea level. Coeffi- cient. Temper- ature (Fahr.). Coeffi- cient. Ins. Feet. Ins. Feet. 30.5 -451 1.03 25.4 4,535 0.86 -24 1.17 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 29.9 + 91 1.01 24.5 5,518 .83 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 .96 23.0 7,239 .78 40 1.02 28.1 1,783 .95 22.7 7,597 .77 45 1.01 27.8 2,075 .94 22.4 7,960 .76 50 1.00 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 3,586 .89 20.9 9,848 .71 88 .93 26.0 3,899 .88 20.6 10,242 .70 100 .91 25.7 4,215 .87 20.3 10,642 .69 114 .89 25.4 4,535 .86 20.0 11,047 .68 128 .87 flcient for barometric pressure X coefficient for temperature. The differences between the true and the tabulated refractions are generally small and generally negligible excepting for the combined effect of low apparent altitude of observation with high elevation above sea level or extremes of temperature. 4147910 14 TABLE 22.-COEFFICIENTS FOR COMPUTING ERRORS IN AZIMUTH DUE TO SMALL ERRORS IN DECLINATION OR LATITUDE, TABULATED FOR 1' ERRORS. Lat. 2 Hours from noon. 3 4 5 6 25 JDecl. 2.21 1.56 1.27 1.14 1.10 JLat. 1.91 1.10 0.64 0.30 0.00 JDecl. 2.31 1.63 1.33 1.20 1.15 30 JLat. 2.00 1.15 0.67 0.31 0.00 [Decl. 2.44 1.73 1.41 1.26 1.22 35 lLat. 2.11 1.22 0.70 0.33 0.00 fDecl. 2.61 1.85 1.51 1.35 1.31 40 \ iLat. 2.26 1.31 0.75 0.35 0.00 JDecl. 2.83 2:00 1.63 1.46 1.41 45 ILat. 2.45 1.41 0.82 0.38 0.00 JDecl. 3.11 2.20 1.80 1.61 1.5G 50 lLat. 2.69 1.56 0.90 0.42 0.00 55 JDecl. 3.49 2.47 2.01 1.80 1.74 ILat. 3.02 1.74 1.01 0.47 0.00 (Decl. 4.00 2.83 2.31 2.07 2.00 60 ] 'lLat. 3.46 2.00 1.15 0.54 0.00 (Decl. 4.73 3.35 2.73 2.45 2.37 65 I lLat. 4.10 2.37 1.37 0.63 0.00 JDecl. 5.85 4.13 3.38 3.03 2.92 70 lLat. 5.06 .. 2.92 i 1.69 0.78 0.00 The coefficients for noon become infinitely large. Direction of errors in azimuth from true south: To the east in the a. m., to the west in the: p. m. Latitude set or assumed to the N. of the true latitude, noon to six hours. Latitude set or assumed to the S. of the true latitude, beyond six hours. Declination set or assumed to the S. of the true declination, 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. 210 TABLE 23. MEAN REFRACTIONS IN POLAR DISTANCE. Bar.=29.G ins. Temp.=50 F. Hours from noon. Latitude. 25 0' 27 30' 30 0' 25 0' 27 30' 30 0' 25 0' 27 30' 30 0' Decl.= 23 27' N. Decl.= 22 30" N. Decl.= 20 (X N. 2 4 7 3 5 8 5 8 10 2 5 7 10 8 11 9 11 14 3 8 12 16 10 13 17 14 17 20 4 20 23 27 22 25 29 25 28 32 5 44 49 53 46 51 55 50 55 1 i G 2 7 2 9 2 10 2 12 2 14 2 10 2 29 2 31 2 33 Decl.= 1730 / N. Decl.= 150'N. Decl.= 1230'N. 8 10 13 10 13 16 13 16 18 2 11 13 10 14 10 19 16 19 22 3 10 19 23 19 22 26 22 25 29 4 28 31 35 31 35 39 34 38 43 5 54 1 1 5 59 1 5 1 10 1 4 1 11 1 .17 6 2 49 2 52 2 55 3 15 3 19 3 22 3 49 3 53 3 57 Decl.= 100' N. Decl.= 730'N. Decl.= 50' N. 10 18 21 18 21 24 21 24 27 2 19 22 25 22 25 28 25 28 31 ! 3 25 28 32 28 31 35 31 34 .38 4 37 42 47 41 40 51 46 51 56 5 1 10 1 17 1 24 1 17 1 25 1 33 1 25 1 33 1 42 Decl.= 230 / N. 'Decl.= 00'. Decl.=2 30* S. 24 27 30 27 30 33 30 33 37 2 28 31 34 31 34 38 34 38 42 3 34 38 42 38 42 47 41 46 51 4 50 55 1 1 55 1 1 6 59 1 5 1 12 5 1 33 1 43 1 53 1 42 1 53 2 5 1 52 2 5 2 20 Decl.= 50'S. Decl.= 730' S. Dect.= 100'S. 33 37 40 37 40 44 40 44 48 2 38 42 47 42 40 51 46 50 55- 3 45 50 56 49 55 1 1 53 1 1 7 4 1 4 1 11 1 19 1 10 1 18 1 27 1 17 1 26 1 36 5 2 5 2 23 2 41 2 20 2 43 3 6 2 39 3 5 3 36 Decl.= 1230 / S. Decl.= 150'S. Decl.= 17 30 7 S. 44 48 53 48 53 58 53 58 1 3 2 50 55 1 54 1 1 59 1 5 1 12 3 58 1 5 1 13 1 4 1 12 1 20 1 11 1 19 1 28 4 1 24 1 34 1 40 1 31 1 43 1 57 1 40 1 54 2 11 4^ 1 51 2 9 2 28 2 2 2 23 2 47 2 14 2 40 3 13 Decl.= 200' S. Decl.= 2230' S. Decl.= 2327' S. 58 1 3 1 9 1 3 1 9 1 15 1 5 1 12 1 18 2 1 5 1 11 1 18 1 11 1 18 1 26 1 13 1 20 1 29 3 1 18 1 27 1 37 1 25 1 35 1 46 1 28 1 38 1 50 4 1 52 2 8 2 28 2 4 2 23 2 48 2 10 2 32 2 58 4H 2 30 3 3 3 47 2 53 3 34 4 31 3 11 3 57 5 211 TABLE 23. MEAN REFRACTIONS IN POLAR DISTANCE. Bar. =29.6 ins. Temp.=50 F. Hours from noon. Latitude. 30 0' 32 30' 35 0' 37 30' 40 0' 42 30' 45 0' 47 30' 50 0' Decimation of the sun, 23 27' N. 7 9 12 15 18 20 23 26 29 2 10 13 16 19 22 24 27 30 34 3 16 19 22 25 28 31 35 38 41 4 27 30 34 37 41 45 49 53 56 5 53 57 1 1 4 1 7 1 11 1 14 1 17 1 20 6 2 10 2 11 2 11 2 11 2 11 2 11 2 11 2 11 2 12 6H 4 35 4 14 3 57 3 44 3 33 3 23 3 15 3 7 3 Declination of the sun, 22 30' N. 8 10 13 16 18 21 24 27 30 2 11 14 17 20 23 26 29 32 35 3 17 20 23 26 29 32 36 40 43 4 29 32 35 39 43 47 51 55 58 5 55 59 1 2 1 6 1 10 1 13 1 16 1 20 1 23 6 2 16 2 17 2 17 2 17 2 17 2 17 2 17 2 17 2 18 6M 5 3 4 38 4 17 4 1 3 47 3 34 3 23 3 14 3 7 Declination of the sun, 20 0' N. 10 13 16 18 21 24 27 30 33 2 14 16 19 22 25 28 32 35 38 3 20 23 26 29 32 35 39 43 48 4 32 35 39 43 47 51 55 59 1 2 5 1 1 4 1 8 1 12 1 16 1 20 1 24 1 28 1 31 5 1 A 1 27 1 32 1 37 1 41 1 45 1 49 1 53 1 56 1 58 6 2 33 2 34 2 34 2 35 2 35 2 36 2 36 2 36 2 36 6^ 6 12 5 40 5 14 4 52 4 34 4 19 4 7 3 57 3 49 Declination of the sun, 17 30' N. 13 16 18 21 24 27 30 33 37 2 16 19 22 25 28 31 35 38 42 3 23 26 29 32 36 39 43 47 52 4 35 39 43 47 51 55 1 1 4 1 7 5 1 5 1 10 1 14 1 19 1 23 1 27 1 32 1 37 1 40 5\4 1 37 1 42 1 46 1 51 1 55 2 2 4 2 7 2 10 6 2 55 2 56 2 56 2 57 2 58 2 59 2 59 2 59 2 59 Declination of the sun, 15 0' N. 16 18 21 24 27 30 33 37 40 2 19 22 25 28 31 34 38 42 47 3 26 29 33 36 40 44 48 52 57 4 39 44 48 52 56 1 1 5 1 9 1 14 5 1 10 1 16 1 21 1 26 1 31 1 36 1 41 1 46 1 51 5H 1 48 1 53 1 58 2 3 2 8 2 13 2 18 2 22 2 26 6 2 3 22 3 24 3 25 3 26 3 27 3 28 3 28 3 29 3 30 212 TABLE 23. MEAN REFRACTIONS IN POLAR DISTANCE. Bar.=29.Gins Temp.=50 F. Hours from noon. Latitude. 30 (X 32 3(X 35 (X 37 30' 40 0' 42 3(X 45 0' 47 30' 50 0' Declination of the sun, 12 30' N. 18 21 24 27 30 33 37 40 44 2 22 25 28 31 34 38 42 46 51 3 29 32 36 40 44 48 52 57 1 2 4 43 47 52 56 1 1 1 6 1 11 1 16 1 21 5 1 17 1 23 1 29 1 35 1 40 1 46 1 51 1 57 2 4 5 1 A 2 2 6 2 12 2 18 2 24 2 30 2 3f 2 41 2 46 6 3 57 4 4 4 4 6 4 7 4 8 4 8 4 10 4 11 Declination of the sun, 10 (X N. 21 24 27 30 33 37 40 44 48 2 25 28 32 35 38 42 47 51 56 3 32 35 39 44 49 53 57 1 2 1 7 4 47 51 56 1 1 1 7 1 12 1 18 1 23 1 29 5 1 24 1 31 1 38 1 45 1 51 1 57 2 4 2 11 2 19 SH 2 14 2 22 2 30 2 38 2 45 2 52 2 59 3 6 3 13 6 4 50 4 54 4 58 5 1 5 3 5 5 5 6 5 8 5 9 Declination of the sun, 7 30' N. 24 27 30 33 37 40 44 48 53 2 28 31 35 38 42 46 51 56 1 1 3 35 39 43 48 53 58 1 2 1 8 1 13 4 51 56 1 1 1 7 1 13 1 19 1 25 1 32 1 38 5 1 33 1 40 1 48 1 56 2 4 2 12 2 20 2 29 2 38 5^ 2 31 2 41 2 52 3 2 3 11 3 20 3 29 3 39 3 48 Declination of the sun, 5 V N. 27 30 33 37 40 44 48 53 58 2 31 34 38 42 47 51 56 1 1 1 6 3 38 43 48 53 58 1 3 1 8 1 14 1 20 4 56 1 1 1 7 1 13 1 19 1 26 1 33 1 41 1 49 5 1 42 1 51 2 2 10 2 20 2 30 2 40 2 51 3 2 5^ 2 53 3 5 3 18 3 31 3 44 3 57 4 10 4 23 4 35 Declination of the sun, 2 SO 7 N. 30 33 37 40 44 48 53 58 1 3 2 34 38 42 46 51 56 1 1 1 6 1 12 3 42 47 52 58 1 3 1 9 1 14 1 21 1 28 4 1 1 1 7 1 14 1 20 1 27 1 35 1 43 1 52 2 1 5 1 53 2 3 2 14 2 27 2 39 2 52 3 5 3 19 3 33 5M 3 21 3 37 3 53 4 11 4 29 4 49 5 9 5 28 5 47 213 TABLE 23. MEAN REFRACTIONS IN POLAR DISTANCE. Bar.=29.6 ins. Temp.=50 F. Hours Latitude. from noon. 30 O f 32 30' 35 0' 37 30' 40 0' 42 30' 45 0' 47 30' 50 0' > Declination of the sun, 0'. i a , / // / n i n / n , , ,, i n 33 37 40 44 48 53 58 1 3 1 9 2 38 42 47 51 56 1 1 1 7 1 12 1 18 3 47 52 57 1 3 1 S 1 15 1 21 1 28 1 36 4 1 6- .1 13 1 21 1 28 1 36 1 45 1 54 2 4 2 16 4J^ 1 26 1 35 1 44 1 54 2 4 2 16 2 29 2 42 2 55 5 2 5 2 18 2 32 2 47 3 2 3 19 3 37 3 56 4 15 Declination of the sun, 2 30' S. 37 40 44 48 53 58 1 3 1 9 1 15 2 42 46 51 56 1 1 1 7 1 13 1 20 1 27 3 51 57 1 2 1 8 1 15' 1 22- 1 29 1 37 1 46 4 1 12 1 20 1 28 1 37 1 46 1 57- 2 8 2 20 2 34 VA 1 34 1 45 1 56 2 8 2 21 2 34 2 50 3 7 3 25 5 2 20 2 36 2 54 3 13 3 32 3 55 4 20 4 47 5 16 Decimation of the sun, 5 0' S. 40 44 48 53 58 1 3 1 9 1 15 1 22 2 47 51 56 1 1 1 7 1 13 1 20 1 28 1 36 3 56' 1 2 1 8 1 14 1 21 1 29 1 38 1 48 1 59 4 1 19 1 28 1 37 1 47 1 58 2 11' 2 25 2 40 2 57 4J^ 1 44 1 57 2 10 2 24 2 40' 2 57 3 17 3 40 4 6 , 5 2 41 2 59' 3 22 3 47 4 15 4 46 5 21 6 2 6 52 Declination of the sun, 7 30' S. 44 48 53 58 1 3 1 9 1 15 1 22 1 30 2 51 55 1 1 1 6 1 13 1 20 1 28 1 37 1 46 3 1 1 1 8 1 15 1 22 1 30 1 38 1 48 2 2 14 4 1 27 1 37 1 47 1 59 2 12 2 28 2 45 3 4 3 27 4^ 1 56 2 11 2 27 2 44 3 4 3 27 3 53 4 26 5 4 5 3 6 3 30 3 59 4 34 5 13 5 57 6 45 Declination of the sun, 10 0' S. 48 53 58 1 3 1 9 1 15 1 22 1 30 1 40 2 55 1 1 6 1 12 1 19 1 27 1 36 1 46 1 58 3 1 7 1 14 1 22 1 30 1 39 1 49 2 1 2 15 2 31 4 1 36 1 47 1 59 2 13 2 30 2 49 3 10 3 36 4 7 4^ 2 11 2 28 2 47 3 10 3 36 4 8 4 44 5 30 6 28 214 TABLE 23.-MEAN REFRACTIONS IN POLAR DISTANCE. Bar.=29.6 ins. Temp. = 50 F. Hours Latitude. from noon. 300' 3280' 350' 3730 > 400' 4230' 450 f '4730' 500' ' Declination of the sun, 12 30'S. / // / / ,, /" ,, / // / // / t, / a / // : 53 58 1 3 1 9 1 15 1 22 1 30 1 40 ' 1? 50 2 1 1 6 1 13 1 20 1 27- 1 36 1 46 1 57 2 11. 3 1 13 1 21 1 30 1 39 1 50 2 ' 1 2 16' 2 33' 2! 52 4 1 46 1 59 2 14 2 31' 2 52 : 3 16 3 43 4 19 ; 5 4 $i 2 28 2 49 3 13 3 44' 4 20 5 5 6 : Declination of the sun, 15 0' S." i 58 1 3 1 9 1 15 1 22 1 30 1 40 1 50 2 3 2 1 6 1 12 1 20 1 28 1 36 1 46 1 58 2 10 2 26 3 1 20 1 28 1 38 1 49 2 2 2 16 2 34 2 54 3 20 3 1 A 1 34 1 45 1 57 2 12 2 29 2 48 3 12 3 42 4 21- 4 1 57 2 14 2 33 2 55 ,3 20 3 52 4 30 5 18 6 32 VA 2 47 3 15 3 47 4 29 5 20 6 28 Declination of the sun; 17 30' S. 1 3 1 9 1 15 1 22 1 30 1 40 1 50 2 3 2! 18 2 1 12 1 19 1 28 1 37 1 46 1 58 2 12 2 26 2 48 3 1 28 1 37 1 48 2 1 2 17 2 35 2 57 3 22' 4: a &A 1 43 1 57 2 12 2 29 2 50 3 15 3 47 4- 28' 5 24 '4 2 11 2 31 2 55 3 23 3 57 4 42' 5 : 40' 6 ; 56 c ' Declination of the sun, 20 0' S. 1 9 1 15 1 22 1 30 1 40 1 50 2 3 2 18 2| 37 2 1 18 1 27 1 36 1 46 1 58 2 12 2 29 2 47 3! 17 3 1 37 1 47 2 2 16 2 35 2 58 .3 26 4 4 ; 54 3^ 1 54 2 10 2 29 2 50 3 17 3 51 4 36 5 30 7 7 4 2 28 2 52 3 21 3 56 4 47 5 58 ': j Declination of the sun, 22 30' S.. ' 1 15 1 22 1 30 1 40- 1' 50 2'3 2 1 18 2-37 3 1 ; 2 1 26 1 35 1 45 1 57 2 12 2 29 2 49 3 13 3 53 : 2H 1 34 1 45 1 57 2 11 2 28 2 49 3 16 3 50 4 32 : 3 1 46 .1 59 2 15 2 34 2 57 3 26 ,4 4 4 56. 6 10 ; 3H 2 7. 2 25 2- 48 3 18 3 51 4 38 ' 5 43 4 2 48 3 19 3 57 4 46 5' 56 -" , , ; Declination of the sun, 23 27' S.' 1 1 18 1 25- 1-34 1 44 1 55 2"' 9 2 25 2 46' 3 12 ! 2 1 29 1 39 1 50 2 3 2 18 2 37 3 0- _3 28 4 ..10 2^ 1 36 1 49 2 3 2 18 2 37 3 1 3 31 4 11 5 9 3 1 50 2 6 2 23 2 44 3 9 3 43 4 27 5 25 7 1 3H 2 15 2 33 2 58 3 32 4 12 5 4 6 25 4 2 58 3 32 4 17 5 14 6 45 TABLE 23.-MEAN REFRACTIONS IN POLAR DISTANCE. Bar. =29.6 ins. Temp. = 50 F. Hours from noon. Latitude. 50" 0" 52 30' 55 0' 57 30' 60 0' 62 30' 65 0' 67 30' 70 0' Declination of the sun, 23 27' N. 29 32 35 39 42 46 51 56 1 1 2 34 37 41 44 48 52 57 1 1 1 6 3 41 44 48 52 56 1 1 5 1 9 1 14 4 56 59 1 2 1 5 1 9 1 13 1 18 1 22 1 26 5 1 20 1 23 1 26 1 29 1 32 1 35 1 38 1 41 1 44 6 2 12 2 12 2 12 2 12 2 12 2 12 2 12 2 12 2 12 Declination of the sun, 22 30' N. 30 33 37 40 44 1 48 53 58 3 2 0. 35 38 42 45 49 53 58 1 3 8 3 43 46 50 54 58 1 2 1 7 1 11 16 4 58 1 1 1 4 1 7 1 11 1 15 1 20 1 24 29 5 1 23 1 26 1 29 1 32 1 35 1 38 1 42 1 45 48 6 2 18 2 18 2 18 2 18 2 18 2 18 2 18 2 18 2 18 Declination of the sun, 20 0' N. 33 37 40 44 48 53 58 1 3 1 9 2 38 42 46 50 54 58 1 3 1 9 1 15 3 48 51 55 59 1 3 1 8 1 13 1 18 1 24 4 1 2 1 6 1 10 1 14 1 18 1 22 1 27 1 32 1 38 5 1 31 1 34 1 38 1 41 1 45 1 49 1 53 1 57 2 1 6 2 36 2 36 2 36 2 36 2 36 2 36 2 36 2 37 2 37 Declination of the sun, 17 30' N. 37 40 44 48 53 58 1 3 1 9' 1 15 2 42 46 50 54 59 1 4 1 9 1 15 1 22 3 52 56 1 1 4 1 9 1 14 1 20 1 26 1 33 4 1 7 1 12 1 17 1 21 1 26 1 31 1 36 1 42 1 49 5 1 40 1 44 1 48 1 52 1 57 2 2 2 7 2 11 2 15 6 2 59 2 59 2 59 2 59 2 59 2 59 2 59 3 3 Declination of the sun, 15 0' N. 40 44 48 53 58 1 3 1 9 1 15 1 22 2 47 51 55 1 1 5 1 10 1 16 1 23 1 30 3 57 1 1 1 6 1 10 1 15 1 21 1 28 1 35 1 43 4 1 14 1 19 1 24 1 29 1 35 1 41 1 47 1 54 2 1 5 1 51 1 56 2 1 2 6 2 12 2 17 2 23 2 28 2 34 6 3 30 3 30 3 30 3 30 3 30 3 30 3 30 3 31 3 31 218 TABLE 23.-MEAN REFRACTIONS IN POLAR DISTANCE. Bar. = 29.6ins. Temp. = 50 F. Hours from noon. Latitude. 50 0' 52 30' 55 0' 57 30' 60 0' 62 30' 65 0' 67 30' 70 0' Declination of the sun, 12 30' N. 44 48 53 58 1 3 1 9 1 15 1 22 1 30 2 51 56 1 1 1 6 1 11 1 17 1 23 1 30 1 39 3 1 2 1 7 1 12 1 17 1 22 1 29 1 37 1 45 1 54 4 1 21 1 27 1 32 1 38 1 45 1 52 1 59 2 7 2 16 5 2 4 2 10 2 16 2 22 2 29 2 35 2 42 2 49 2 57 6 4 11 4 12 4 12 4 12 4 12 4 12 4 13 4 13 4 13 Declination of the sun, 10 V N. 48 53 58 1 3 1 9 1 15 1 22 1 30 1 40 2 56 1 1 1 7 1 12 1 18 1 25 1 32 1 41 1 50 3 1 7 1 12 1 18 1 24 1 31 1 39 1 47 1 56 2 6 4 1 29 1 35 1 42 1 49 1 57 2 5 2 14 2 24 2 34 5 2 19 2 26 2 34 2 42 2 50 2 58 3 7 3 16 3 26 6 5 9 5 9 5 10 5 10 5 10 5 11 5 11 5 12 5 12 Declination of the sun, 7 30' N. 53 58 1 3 1 9 1 15 1 22 1 30 1 40 1 50 2 1 1 1 7 1 12 1 19 1 26 1 34 1 42 1 52 2 3 3 1 13 1 19 1 25 1 33 1 41 1 50 1 59 2 9 2 21 4 1 38 1 45 1 53 2 2 2 11 2 21 2 32 2 44 2 57 5 2 38 2 47 2 57 3 7 3 17 3 28 3 40 3 53 4 6 Declination of the sun, 5 0' N. 58 1 3 1 9 1 15 1 22 1 30 1 40 1 50 2 3 2 1 6 1 12 1 18 1 26 1 35 1 44 1 53 2 4 2 18 3 1 20 1 27 1 34 1 43 1 52 2 2 2 14 2 27 2 40 4 1 49 1 57 2 5 2 16 2 28 2 41 2 55 3 10 3 27 5 3 2 3 14 3 26 3 39 3 53 4 8 4 24 4 42 5 1 Declination of the sun, 2 30' N. 1 3 1 9 1 15 1 22 1 30 1 40 1 50 2 3 2 18 2 1 12 1 19 1 25 1 34 1 44 1 55 2 6 2 20 2 37 3 1 28 1 35 1 44 1 54 2 5 2 18 2 32 2 48 3 5 4 2 1 2 12 2 21 2 34 2 49 3 6 3 24 3 44 4 8 5 3 33 3 50 4 6 4 25 4 45 5 7 5 32 6 6 31 Declination of the sun, 0'. 1 9 1 15 1 22 1 30 1 40 1 50 2 3 2 18 2 37 2 1 18 1 26 1 34 1 43 1 54 2 6 2 20 2 38 3 1 3 1 36 1 45 1 55 2 7 2 20 2 35 2 53 3 14 3 39 4 2 16 2 29 2 43 2 58 3 16 3 36 4 4 28 5 3 5 4 15 4 38 5 2 5 29 5 59 6 33 7 13 7 59 8 53 217 TABLE 24. TRIGONOMETRIC FORMULAS FOR THE SOLUTION OF PLANE TRIANGLES. Let A = angle BA C = arc B F, and let the radius A F = AB = AH= 1. We then have Jf KG sin A = B C "^xT ^ cos .4 = ^ C >v ^X^ tan .A = D F \ n ^r cot A = HG sec ^4. = ^4Z> , ^/fr ^x^ 1 \1 cosec ^ = ^G cx^ \| versing = CF=BE ^ a covers A BK = HL exsec A = BD Y ^^ * r f ," and "3" appear in this equation combined as in the formula for the reduction of an altitude observation of the sun for apparent time, and when it is desired to reduce for both time and azimuth, the above equation for azimuth is to be preferred to any that follow. Altitude observation of the sun for azimuth. For south declinations the function "sin d" becomes negative by virtue of the sine of a negative angle being treated as negative in analytical reductions: If the algebraic 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: The above equat'on is very convenient in reducing for azimuth only. Altitude observation of the sun for azimuth. To many surveyors the following equa- tion is familiarly expressed directly in terms of the spherical triangle" pole-zenith- sun": reverse the sign of "d" for south declinations: Pole to zenith=90-<=colat.; Pole to sun =90 d =codecl.; Zenith to sun =90 ft=coalt.; S=H sum of the three sides: sin S sin (S -coded.) Cos Ji -^ysi^eoTat. sincoalt. Equal altitude observations of the sun for meridian. The sun's center at equal alti- tudes 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 change in the sun's declination in the interval between the a. m. and p. m. observations: "dA$ ": 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 change in declination, or to the west with a southerly hourly change. " d 8": Change in declination of the sun from the a. m. to the p. m. observation, expressed In minutes of angular measure. 223 ": The sum 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. cos < sin ft (ti+tz) The symmetry of the equal altitude observation is preserved by observing opposite limbs in azimuth in the a. m. and p.m. observations, in connection with the same limb in vertical angle in both observations. With "% d d" and " J^ (t\+h)" calculated, the computation can be concluded by applying to "^ dd" the declination coefficient obtained by entering the table of coefficients for computing errors in azimuth due to small errors in declination, argu- ments: "$" and "^(ti+h)." Azimuth of Polaris at elongation. cos d A table of azimuths of Polaris at elongation, for latitudes from 25 to 70 N., appears in the Ephemeris, arguments: "d" and "$." Azimuth of Polaris at any hour angle. "J"=sidereal hour angle in angular measure; in hour angles exceeding 90 the function "sin cos t" becomes positive by virtue of the cosine of an angle between 90 and 270 being treated as negative in analyti- cal reductions: sin t TanA= cos tan 3 sin cos t A table of azimuths of Polaris at all hour angles, for latitudes from 30 to 50 N., appears in the Ephemeris, arguments: "d," mean time hour angle, and "$." 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 l -t" for the above equation. Polaris at sunset or sunrise. Polaris is conveniently observed for azimuth by the hour angle method at sunset or sunrise without artificial illumination; the prepara- tion for the observation consists in computing in advance the approximate settings in azimuth and altitude in order to find Polaris, and the plan contemplates an approxi- mate reference meridian: with the time of sunset or sunrise assumed as the time of observation, the hour angle "t" and azimuth "A" are determined in order to find 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: CONVERGENCE OF MERIDIANS. ; ": Measurement along the parallel. ^": Measurement along the meridian. : Equatorial radius of the earth=3963.3 miles= 80X3963.3 chains. : Factor of eccentricity, log c=8.915 2515. ^ ": Linear amount of the convergency on the parallel, of two meridians dis- tance apart "m; ," and distance "m^" along the meridian: "dm^ ," "m^ ," "7n^"and "a" to be expressed in the same unit: OF THE ([UNIVERSITY OF V 224 THIS BOOK IS DUE ON THE LAST DATE STAMPED BELOW AN INITIAL FINE OF 25 CENTS WILL BE ASSESSED FOR FAILURE TO RETURN THIS BOOK ON THE DATE DUE. THE PENALTY 05 s I 1 go IS o > 1 m Z 10 I CO fe CA) LD 21-100m-7,'33 YA C6560