Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry (1826)
Playfair, John, 1748-1819, Euclid · Philadelphia : Marot & Walter · leaf 228
les, any tliree being given, and one of these threebeing a side, it is required to find the other three. This problem has four cases, in each of which the solution dependson some of the foregoing propositions. CASE i. Two angles A and B, and one side AB, of a triangle ABC, beinggiven, to find the… … CASE II. Two sides AB and AC, and the angle B opposite to one of thembeing given, to find the other angles A and C, and also the other sideBC. SOLUTION. The angle C is found from this proportion, AC : AB : : sin. B :sin. C. Also, A=180°—B—Cj and then, sin. B : sin. A :: AC :CB, by Case 1. In this…
Euclid's Elements · Geometry · Trigonometry
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