 | Werner Fenchel - 1989 - 248 pàgines
...(n-ß)i, <T2 = (ny)i. Hence, (3) takes the form sin a sin b sin c sin a sin ß sin y ' and (6) yields cos a = cos b cos c + sin b sin c cos a , and the analogues for cos b and cos c, cos a = — cos ß cos y + sin ß sin y cos a , and the analogues... | |
 | Nicholas P. Cheremisinoff, Louise Ferrante - 1989 - 224 pàgines
...spherical triangle and A, B, C represent the corresponding opposite angles Law of Cosines for Sides cos a = cos b cos c + sin b sin c cos A cos b = cos c cos a + sin c sin a cos B cos c = cos a cos b + sin a sin b cos C Law of Tangents tan... | |
 | Jeremy Gray - 1989 - 258 pàgines
[ El contingut d’aquesta pàgina està restringit ] | |
 | J. J. Stoker - 1989 - 432 pàgines
...triangle T**. The "law of cosines " for triangles in each of the three geometries of constant curvature is cos a = cos b cos c + sin b sin c cos a (K* > 0), a* = b* + c2 - 2bc cos a (K* = 0), cosh a = cosh 6 cosh c — sinh b sinh c cos a (K* < 0).... | |
 | Morris Kline - 1990 - 434 pàgines
...triangles, namely, TRIGONOMETRY A Figure 12.1 and the law of cosines involving the sides, that is, cos a = cos b cos c + sin b sin c cos A. The De Triangulis was not published until 1533; in the meantime, Johann Werner (1468-1528) improved... | |
 | 1970 - 1058 pàgines
[ El contingut d’aquesta pàgina està restringit ] | |
 | C. M. R. Fowler - 1990 - 494 pàgines
...relate the angles and sides of plane triangles, there are cosine and sine rules for spherical triangles: cos a = cos b cos c + sin b sin c cos A (2.9) and sin a sin c sin A sin C Substituting Eqs. 2.4-2.6 into Eq. 2.9 gives (2.10) cos a = cos (90... | |
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A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B... 
