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 227
e things required; and the third,the rules or proportions by which they are found. GIVEN. SOUGHT. SOLUTION. CB and B, the hypotenuse andan angle. AC. AB. R : sin. B :: CB : AC.R : cos. B :: CB : AB. 1 2 AC and C, a side and one ofthe acute angles. BC.AB. Cos. C : R :: AC ; BC.R : tan. C ;: AC : AB.… … Jlemarks on the Solutions in the table. In the second case, when AC and C are given lo find the hypote-nnse BC, a solution may also be obtained by help of the secant, forCA : CB : : R : sec. C; if, therefore, this proportion be made R ;see. C : : AC : CB, CB will be found. In the third case, when…
Euclid's Elements · Geometry · Trigonometry
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