 | Charles Bonnycastle - Geometry - 1834 - 670 pages
...finally, omitting the accents, those equations become cos. A = sin. B sin. C cos. a — cos. B cos. C cos. B == sin. A sin. C cos. b — cos. A cos. C . . .42 cos. C = sin. A sin. B cos. c — cos. A cos. B. . 147. The equations of art. 142, if written... | |
 | 1837 - 690 pages
...driehoeksmeting overeenkomen. Van deie overeenkom*! xnllen wij straks nader handelen. 273o. (I45a) Cos. b= Sin. a Sin. c Cos. B + Cos. a Cos. c. 273Z>. (145i)Cos.c=Sin.aSin.bCos.C+Cos.aCos.b, waaruit yolgt: Cos a — Cos. b Cos. c 274. (.46) Cos.A... | |
 | Société des sciences, de l'agriculture et des arts de Lille - Science - 1850 - 1106 pages
...BD Or, nous savons que tang. BD = cos. B. laug. c Donc Cos. b = cos. a cos. c •+• sin a sin. e cos. B ; et . par suite , Cos. B = sin. A sin. C cos. b — cos. A cos. C ; équations qui, sauf 1 1 permutation des lettres, ne différent p;>< des deux équations ci-dessus. Pour nous familiariser... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...therefore give such values to C as to satisfy the two equations, cos B + cos A cos C + cos b = and — cos b = sin A sin C cos B + cos A cos C sin A sin C Hence, if the sine of the angle opposite the required side be greater than the sine of... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...therefore give such values to C as to satisfy the two equations, cos B + cos A cos C + cos b = and - cos b — sin A sin C cos B + cos A cos C sin A sin C Hence, if the sine of the angle opposite tl1e required side be greater than the sine of... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...therefore give such values to C as to satisfy the two equations, cos B + cos A cos C + cos b = and — cos b = sin A sin C cos B + cos A cos C sin A sin C Hence, if the sine of the angle opposite the required side be greater titan the sine of... | |
 | Franz Brünnow, Franz Friedrich Ernst Brünnow - Spherical astronomy - 1862 - 638 pages
...denen wieder Winkel statt der Seiten und umgekehrt vorkommen: cos A = sin B sin C cos a — cos B cos C cos B = sin A sin C cos b — cos A cos C (8) cos C = sin A sin £ cos c — cos A cos B 5. Addirt man die beiden ersten der Formeln (3), so... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...equal to the cosine of the other, divided by the cosine of its opposite side. By means of (154) we have cos B = sin A sin C cos b — cos A cos C, which, by making C = 90°, becomes cos B = cos b sin A, cos B whence, sin A = cos &' In like manner,... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...equal to the cosine of the other, divided by the cosine of its opposite side. By means of (154) we have cos B = sin A sin C cos b — cos A cos C, which, by making G = 90°, becomes cos B = cos b sin A, whence, gin A = - r-. (196) In like manner,... | |
 | William Thomas Read - 1862 - 144 pages
...= sin B . sin C ' cos a sin B sin C = cos A -f cos B . cos C. A sin b But sin B = sin A .-•. and cos B = sin A sin C cos b — cos A . cos C. Substituting these values : — Cot a sin b sin A sin C = cos A + sin A sin C cos C . cos b — cos... | |
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B' sin C' cos a' ; or, changing the signs and omitting the primes (since the preceding result is true for any triangle), In the same way, we may deduce, cos B = sin A sin C cos b — cos A cos C, • • (2.) cos C = sin A sin B cos c — cos A cos B. 
