 In a 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...  New Plane and Spherical Trigonometry - Pàgina 96per Webster Wells - 1907 - 126 pàginesVisualització completa - Sobre aquest llibre
 | Daniel Cresswell - 1816 - 352 pàgines
...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 - 1848 - 134 pàgines
...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... | |
 | William Chauvenet - 1852 - 268 pàgines
...without requiring a special examination of the various positions of the lines of the diagram. 5. In a spherical triangle, the cosine of any side is equal...the other two sides, plus the continued product of the sines of those sides and the cosine of the included angle. Let the plane B'A'С', Fig. 2, be Fig.2.... | |
 | Horatio Nelson Robinson - 1860 - 470 pàgines
...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 - 1862 - 518 pàgines
...the 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...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 - 1862 - 532 pàgines
...an 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...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 - 1863 - 504 pàgines
...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...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... | |
 | William Chauvenet - 1863 - 272 pàgines
...without requiring a special examination of the various positions of the lines of the diagram. 5. In a spherical triangle, the cosine of any side is equal...cosines of the other two sides, plus the continued prc'duct of the sines of those sides and the cosine of the included angle. Let the plane B'A'C', Fig.... | |
 | Benjamin Greenleaf - 1867 - 188 pàgines
...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 - 1868 - 444 pàgines
...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... | |
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