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Plane and spherical trigonometry (1887)

Wentworth, G. A. (George Albert), 1835-1906 · Boston, Ginn & company · leaf 135

An illustration from Plane and spherical trigonometry, 1887, leaf 135
apiersRules, as in Case I., when the side c alone is desired. Let(Fig. ±3) Z ABB = x,ZCBD = 7/, BD = p; then, By Rule I., cos<? = cot x cot A,whence cota? = tan^4 cose. By Rule II., cos .4 = cosp sin x,whence cos p = cos A esc x. cos C = cosp siny,whence cos p = cos Ccscy. Therefore, cos 0 = cos… … log tan .4 = 9.85760log cos c =9.79856logcot# =9.65616 x =65° 3735B~x =49° 3132 log cos A =9.90992 log sin (£-*) = 9.88122 log csc # = 0.04055 log cos C= 9.83099 0= 47° 20 30 Exercise XXVI. 1. What are the formulas for computing A when B, C, anda are given; and for computing B when A, C, and b…

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