 | 1896 - 754 pages
...ABC, A, B, C les angles opposés ; 2p = a + J + c) : cos a = cos b cos c -f- sin b sin c cos A ; (1) sin a sin b sin c sin A sin B sin C ' cot a sin b = cos b cos c -j- sin c cot A ; (3) cos A = — cos B cos C -}- sin B sin C cos a ; (4)... | |
 | John Bradley Harbord - 1897 - 554 pages
...— a + ta J SPHERICAL TRIANCI b. • A ../sin (s-*). sin(iC) Stn / V sins.sinc Where a=! (,!+*+t•) Sin A sin B sin C sin a sin b sin c CCS f("-<) O Cosi( a f*) 2 1 sinj(«-*) CJ s.'m)(a+f) 1} 482 TABLE II. Case. I II. Ill (iivcn. Three... | |
 | George Albert Wentworth - 1897 - 384 pages
...[44] and sin b sin C = sin c sin BJ These equations may also be written in the form of proportions sin a : sin b : sin c = sin A : sin B : sin C. That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite... | |
 | 1897 - 486 pages
...spherical triangles A, B, C denote angles ; a, b, c, opposite sides, i L = £ and *" i~f — j 2 ' 2 sin A sin B sin C sin a sin b sin c — cos B cos C -f- sin B sin C cos a cos li cos c -J- sin b sin c cos A cos/4 cos a _ / sin (s —... | |
 | Alfred Joseph Moses - 1899 - 232 pages
...A cot B In oblique angled spherical triangles A, B, C denote angles , a, b, c, opposite sides, s 2 sin A sin B sin C sin a sin b sin c '"' cos A = — cos B cos C -\- sin B sin C cos a cos a = cos b cos c .}- sin b sin c cos ^4 sin ^... | |
 | Thomas Ulvan Taylor, Charles Puryear - 1902 - 248 pages
...6) sin s sin (s — c) log sin 97° 9' = 9.99661 - 10 log sin 55° 51' = 9.91781 - 10 9.91442 - 10 sin A sin B sin C sin a sin b sin c log sin A — log sin a = log sin B — log sin 6 = log sin C — log sin c. log sin ^1=9.98202-10... | |
 | George Albert Wentworth - 1903 - 346 pages
...sin b sin C — sin c sin BJ [44] These equations may also be written in the form of proportions : sin a : sin b : sin c = sin A : sin B : sin C. That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite... | |
 | Paul Sager - 1903 - 98 pages
...beiden Dreiecke bezeichnen, zu der Gleichung: Hierfür kann auch folgende Formel genommen werden; , sin A . sin B . sin C sin A*, sin B*, sin C* Die Theorie der geodätischen Dreiecke von endlicher Grösse hat Christoffel (1868) gegeben. Er führt... | |
 | Henry Curwen Lord - 1904 - 168 pages
...side opposite A, b is that opposite B, and c that opposite C. We have then the following formulae: — sin A sin B sin C sin a sin b sin c (2) cos a = cos b cos c -f- sin b sin c cos A ,. I sin(s — b) sin(s — c) (3) tg y2 A — A ^ +-.... | |
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C = sin. A sin. B sin. C; dividing both sides of this equation by cos. A cos. B cos. C, we have sin. A sin. B sin. C _ sin. 
