Spherical Trigonometry, for the Use of Colleges And Schools: With Numerous ...

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Spherical Trigonometry, for the Use of Colleges And Schools: With Numerous ...
Todhunter, I. (Isaac), 1820-1884
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By Napier's analogieS| these determine ^ (a + () and ^ (a — &), and thence a and 6.
Then (7 may be found fix)m the formula sin C = ; : in •^ Bina this case, since G is found from its sine, it may be uncertain which of two values is to be given to it; the point may be sometimes settled by observing that the greater angle of a triangle is opposite to the greater side. Or we may determine C from equation (3) of Art. 54, which is free from ambiguity.
Or we may determine C without previously determi
...ning a and h from the formula cos C= — cos -4 cos ^+ sin -4 sin ^ cose. This formula may be adapted to logarithms, thus : cos (7 = cos ^ (— cos -4 + sin -4 tan ^ cos c) ; assume cot (^ = tan ^ cose; then ^ T>/ A ^ . . .v cos-Bsin(-4 — 6) cosC'=cos-B(-cos-4+cot

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