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Show TABLE I. A MANUAL OF LAND SURVEYING. VI L'OGARITHMS OF NUMBERS. SOLUTION 0F OBLIQUE TRIANGLES. ite .Let ABO' represent the angles, and abc the oppos ‘ gle. 814185, of any obhque trian a Sought. Given. C' = 180° - (A + B). C, b, A, B, a sin A . , A,a,b 18,0, 1 3: TA B L E S . b. 0==180--(A+B). a sin 0'. c 8:: _ I-- sin B. , s1n A a sin (A + B) sin A 3- c '_ .~ b= 0,5,5 4(A+B)4(A+'B)=90°-40. a-b 4 + b tan 3 (A + B). --a =-- ) (A-B 4(A-1310an4 .1 .1 , "a? ' ‘. 1 i A A=3<A+B>+4<A-B1 B B=4<A+B)-3(A-B). c c__(a+b)cos;-(A+B) cos 1; (A -- B) 5) sin 4 (A + B) (a LOGARITHMS OF NUMBERS "4°" 1 TO 10000. N. 6 8 9 10 ._ '(8 - b) (8 -- 05 - , (5031.11: fl , b 4'4 T 1. 11 [1 1 1:1 , 3, 3*0-4 ‘313. ‘ g! , -‘ y, tan 4 A = 1 2 8(8 -- a) 14 15 ._ ..___.____---------- N. 56 57 58 59 60 1 748188 1 783428 1 770852 1778151 1 755875 81 83 84 85 82 ) 4 ‘4 2(3- )(8-0- / _ bc = -----_----- a) (s-b) (s - c). 1 Area Area = 1/8 (8 - 2 . B . 0 . a 8111 3.111 A A A 'B '0 - A 1‘93 = 9 2 sm 1'93 4 v 4" 1 146128 1 178091 1 591065 1 602089 65 1 812913 90 41 1 812784 66 1 819544 91 17 18 1 240449 1.255273 42 43 1 623249 1 633468 67 68 1 826075 1 832509 92 93 .19 1278754 44 1643453 69 1838849 94 20 21 1 801030 1 822219 45 46 1 653213 1 662758 70 , 1845098 1 851258 71 95 96 22 23 24 25 1 842423 1 381728 1 380211 1 397940 47 48 49 50 1 672098 1 681241 1 690196 1 698970 72 73 74 75 1 857332 1 863323 1 869232 1 875061 97 .98 99 100 11' r. 7&4?" '54.": 39 49 1 204120 16 c V3115"! 1 491362 1 505150 1 518514 1 531479 1544068 31 32 33 34 35 . . sm A =b-1/s(s-a) (s-b) (s-c)4 . . A Log. . -- b N. 3 388 3 633 1793 44 383 14344 313 42.34 1.799341 1 579784 1 113943 89 1 806180 64 ---" ,-- W ._... 7; 0 778151 0 903090 0 954243 1000000 7 0 845098 the" sm ‘} A ~\/_'_-_-bc 4 :fe. ., E1 Log. N. 44333 3 4834 = 3332 3 331443 3443 3 3 133 3 333 3 3 45 333 ~ 80 740363 1 55 477121 1 30 0 698970 "44‘4"" " =44444‘4‘ "4 4444 L" 3= 41:01 + b + 6‘), A a, b, 0 Log. p ‘_-..»W‘V157 "‘1‘ :4 1 '1'], 1‘ "‘1 |
