 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...A' Bi, 0 A' O, we have cos a = cos I cos c -f- sin b sin c cos A. (1^0) In like^mwner may be deduced cos b = cos c cos a -f- sin c sin a cos B, cos c = cos a cos J -f- sin a sin b cos 01 BOOK V. 150. In any spherical triangle, the cosine of any... | |
 | William Chauvenet - Trigonometry - 1924 - 268 pages
...remaining sides (as a) are required. The general relations between the given and required parts are cos B = — cos C cos A -f- sin C sin A cos b -\ sin B cos a = sin C cos A -f- cos C sin A cos b > (203) sin B sin a = sin A sin 6 j which are solved... | |
 | William Chauvenet - Trigonometry - 1879 - 266 pages
...remaining sides (as a) are required. The general relations between the given and required parts are cos B = — cos C cos A -f. sin C sin A cos 4 ) sin B cos a = sin C cos A -\- cos C sin A cos 4 ;• (203) sin B sin a = sin .4 sin 4 J which are... | |
 | Webster Wells - 1883 - 298 pages
...— — - (Art. 43) sin A sm B sm С Thus no new relations are obtained in this way. 19& By Art. 188, cos b = cos c cos a -f- sin c sin a cos B (A) cos c = cos a cos b + sina sin b cos C (B) Also (Art. 192), .=, ., orsinc=sin6sin<7 (C) sin С... | |
 | Bund der Sternfreunde, Stuttgart - Astronomy - 1925 - 392 pages
...— c) -4:= sin s r st« (s — a) r sin (s — b) Abb. 45. cos a = cos b cos c -j- sin b sin c cos a cos b = cos c cos a -f- sin c sin a cos ß cos c = cos a cos b -\- sin a sin b 'cos f cos a = — cos ß cos Y + sin ß st« Y cos a cos ß... | |
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The general relations between the given and required parts are cos B = — cos C cos A -f- sin C sin A... 