 | George Roberts Perkins - Geometry - 1860 - 472 pages
...sin. B cos. c = cos. C sin. A + sin. C cos. A cos. b ; sin. B cos. a = cos. A sin. C + sin. A cos. C cos. b. sin. C cos. a = cos. A sin. B + sin. A cos. B cos. c ; sin. C cos. b = cos. B sin. A + sin. B cos. A cos. c. (J.) CHAPTER VL \ SOLUTION OF SPHERICAL RIGHT TRIAlfGLES.... | |
 | Franz Brünnow - Spherical astronomy - 1865 - 632 pages
...cos a sinB cos a = cos A sin C-+- sin A cos (7 cos A sin B cos c = cos C sin 4 + sin C cos .4 cos A sin C cos a = cos A sin B + sin A cos B cos c sin C cos A = cos B sin .4 -+- sin B cos ^1 cos c sin a cotang 6 = cotangB sin C + cos C cos a sin a cotang c... | |
 | Johannes Frischauf - Geometry - 1870 - 178 pages
...b, C gegeben, so erhält man nach cos c = cos a cos b -f- sm a sm b cos C sin c sin A = sin a sin C sin c cos A = cos a sin b — - sin a cos b cos C und den beiden analogen Gleichungen für den Winkel B; die Seite c, die Winkel A und B. Durch Einführung... | |
 | Karl Friedrich Wilhelm Peters - Astronomy - 1871 - 250 pages
...(s — a) a,b,C А, с 1) cose = cosa cosb -f- sina s^nb cos C. sin с sin A = sin a sin C. sin с cos A = cos a sin b — sin a cos b cos C. 2) Man setzt: sin a cos С = m sin M, cos a = m cos M, so wird : cos с = m cos (b — M) ; sin с... | |
 | Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...cos C — cos B = 2 cos A- cos ADB. 85. Prove cos a sin b = sin a cos b cos С -f cos A sin c. 86. " sin C cos a = cos A sin B + sin A cos B cos C. 87. In a triangle if A = -, B = |, C = £, show that „ б о 2 a + b + с = £• ¿ , , . l + cos... | |
 | Edward Albert Bowser - Trigonometry - 1894 - 206 pages
...a = cos A sin C + sin A cosC cos 6 . . (!)) sin B cos c = sin A cos C + cos A sin C cos b . . (10) sin C cos a = cos A sin B + sin A cos B cos c . . (11) sinC cos 6 = sin A cosB + cosA sin B cosc . . (12) 95. Formulae for the Half Angles. — To... | |
 | William John McClelland, Thomas Preston - Spherical trigonometry - 1893 - 402 pages
...(other side) — sin (mid. angle) cot (other angle). Hence, equating these expressions for cos BO, cos a sin b = sin a cos b cos C + sin c cos A. Dividing each side of this equation by sin a, and substituting sin C . sin c , . -: — - for -... | |
 | Simon Newcomb - Astrometry - 1906 - 580 pages
...required, are CASE II. — Given two angles and the intermediate side A, B, c. sin C sin a = sin A sin c, sin C cos a = cos A sin B + sin A cos B cos c, cos (7 = - - cos A cos 5 + sin A sin .# cos c. If we compute A and H from A sin H = cos ^4, A cos H... | |
 | Robert Stawell Ball - Spherical astronomy - 1908 - 528 pages
...triangle. It is proved in works on spherical trigonometry that cos c = cos a cos 6 + sin a sin bcosC (1), sin c cos A = cos a sin b — sin a cos b cos C (2), sin c sin A = sin a sin C (3). Formula (2) may be conveniently obtained from (1) as follows. Produce... | |
 | Robert Stawell Ball - Spherical astronomy - 1908 - 530 pages
...is proved in works on spherical trigonometry that cos c = cos a cos b + sin a sin b cos C (1), sine cos A = cos a sin b — sin a cos b cos C (2), sine sin A = sin a sin C (3). Formula (2) may be conveniently obtained from (1) as follows. Produce... | |
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C cos. b. sin. C cos. a = cos. A sin. B + sin. A cos. B cos. c ; sin. C cos. 
