 | 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 three equations answering to... | |
 | George Clinton Whitlock - 1848 - 340 pàgines
...= QTP + RTd — RTP PROPOSITION III. The cosine of any side of a spherical triangle is equal (535) to the product of the cosines of the other two sides increased by that of their sines multiplied into the cosine of the angle opposite the first-mentioned side. For,... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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 ABC be a spherical triangle, O the center... | |
 | Lefébure de Fourcy (M., Louis Etienne) - 1868 - 350 pàgines
...either side is equal to the sum of the squares of the other two sides, minus twice twice the rectangle of these two sides, multiplied by the cosine of their included angle. That is, we have a"=b'+ c2— 2 6ccos A, Let ABC be the given triangle ; let fall the perpendicular... | |
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Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides... 
