 | Daniel Cresswell - Geometry - 1816 - 352 pages
...complemental triangle. PROP. I. (230.) Theorem. The cosine of any one of the sides, of a spherical triangle, is equal to the product of the cosines of the other two sides, together with the continued product of the sines of those two sides, and the cosine of the angle contained... | |
 | Anthony Dumond Stanley - Geometry - 1848 - 134 pages
...the form of a theorem it may be stated thus : The cosine of one of the sides of a spherical triangle^ is equal to the product of the cosines of the other two sides, increased by the product of their sines multiplied into the cosine of the included angle. There are... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...AC : cot.BC = cos. ACD : cos.BCD. PROPOSITION VII. The cosine of any side of a spherical triangle, is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides multiplied by the cosine of the included angle. Let ABC be a spherical... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...same, the sine of B' G'D is still equal to the sine of C. (147) (148) (149) TRIGONOMETRY. 149. In any spherical triangle, the cosine of any side is equal...product of the cosines of the other two sides, plus the product of the sines of those two sides into the cosine of their included angle. Let A BC be any spherical... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...angle and its supplement are the same, the sine of B1 Ö D is still equal to the sine of G. 149. In any spherical triangle, the cosine of any side is equal...product of the cosines of the other two sides, plus the product of the sines of those two sides into the cosine of their included angle. Let ABC be any spherical... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...supplement are the same, the sine of B' C?D is «till equal to the sine of C. 7* TRIUONOMETRY. 1 49. In any spherical triangle, the cosine of any side is equal...product of the cosines of the other two sides, plus the product of the sines of those two sides into the cosine of their included angle. Let ABC be any spherical... | |
 | Benjamin Greenleaf - 1867 - 188 pages
...In like manner, by means of (153), sinJB = ^°3^. (197) cos p ^ 161. T^e cosine of the hypothenuse is equal to the product of the cosines of the other two sides. By means of (152) we have cos A = cos p cos b -\- sin p sin b cos C, which, by making O = 90°, becomes... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...in Space. THREE 8IDE8 AND AN ANGLE. 878. Theorem. — The cos)ne of any side of a spherical triangle is equal to the product of the cosines of the other two sides, increased by the product of the sines of those sides and the cosine of their included angle. 315 Let... | |
 | Benjamin Greenleaf - 1869 - 516 pages
...and its supplement are the same, the sine of B CPD is still equal to the sine of (7. 7* 149. In, any spherical triangle, the cosine of any side is equal...product of the cosines of the other two sides, plus the product of the sines of those two sides into the cosine of their included angle. Let ABC be any spherical... | |
 | Edward Olney - Trigonometry - 1885 - 222 pages
...a specialty- The preceding sections are thought sufficient for the general student] 143- Prop- — In a Spherical Triangle the cosine of any side is...product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a =... | |
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Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b... 
