 | Eugene F. Milone, William J.F. Wilson - 2008 - 258 pàgines
...other formulae which may be useful in particular cases are the analogue formula of Smart (1977, p. 10): sin a cos B = cos b sin c — sin b cos c cos A (2-10) and Smart's (1977, p. 12) four-parts formula, cos a cos C = sin a cot b — sin C cot B (2.1... | |
 | Society for Practical Astronomy, Chicago - 1915 - 196 pàgines
...Hence equations (6), after slight rearrangement, at once reduce to sin a sin B = sin b sin A (I) ) sin a cos B = cos b sin c- sin b cos c cos A (II) r (8) cos a = cos b cos c + sin b sin c cos A (III) ) These are the three fundamental formulae... | |
 | Ball - 536 pàgines
...cAc + cosbsmccosA&b + sin b cose cos A Ac — sin b sin c sin A A.4. But from the formula (2) in § 1 sin a cos B = cos b sin c — sin b cos c cos A, sin a cos C = sin b cos c — cos 6 sin c cos A ; whence by substitution, and writing the similar formulae... | |
 | 1973 - 696 pàgines
...spherical geometry (Fig. 26), cos a = cos b cos c + sin b sin c cos A sin A sin a sin B sin b sin C sin c sin a cos B = cos b sin c - sin b cos c cos A , ui CS 8 faO S fi 8 -w V e •8 .2 I o S O <N 01 (4 Figure 26. Definition of the spherical angles... | |
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A sin a cos B = cos b sin c —• sin b cos c cos A. 
