 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...  Plane and Spherical Trigonometry - Pàgina 173per James Morford Taylor - 1905 - 234 pàginesVisualització completa - Sobre aquest llibre
 | Daniel Cresswell - 1816 - 352 pàgines
...from the other 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
...spherical triangles. In 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
...the various positions of the lines of the diagram. 5. In a spherical triangle, the cosine of any side is equal to the product of the cosines of 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',... | |
 | Adrien Marie Legendre - 1852 - 436 pàgines
...sin a sin c cos B, L (1) cos c = cos a cos b + sin a sin b cos (7. J That is : The cosine of either side of a spherical triangle is equal to the product of the cosines of the two other sides plus the product of their sines into the cosine of their included angle, enter into... | |
 | Horatio Nelson Robinson - 1860 - 470 pàgines
...gives cos.ACD = cot. AC cos.BCD cot.BC Or, cot. AC : cot.BC = cos. ACD : cos.BCD. PROPOSITION VII. The cosine of any side of a spherical triangle, is...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 triangle, and CD... | |
 | Benjamin Greenleaf - 1862 - 518 pàgines
...the sine of C. (147) (148) (149) TRIGONOMETRY. 149. In any 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 two sides into the cosine of their included angle. Let A BC be any spherical triangle, 0 the... | |
 | Benjamin Greenleaf - 1862 - 532 pàgines
...of B1 Ö D is still equal to the sine of G. 149. In any 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 two sides into the cosine of their included angle. Let ABC be any spherical triangle, O the centre... | |
 | John Mulcahy - 1862 - 252 pàgines
...circles whose poles are the extremities of the base. Since the cosine of the hypotenuse of a right-angled spherical triangle is equal to the product of the cosines of the sides, the locus of the vertex of such a triangle, whose hypotenuse is given, is a spherical ellipse.... | |
 | Benjamin Greenleaf - 1863 - 504 pàgines
...«till equal to the sine of C. 7* TRIUONOMETRY. 1 49. In any 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 two sides into the cosine of their included angle. Let ABC be any spherical triangle, 0 the centre... | |
 | 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... | |
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