Elements of analytical geometry and of the differential and integral calculus (1866)
Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 200
cted into the same circumference, on the co-ordinate plane YX\ hence, the surface is that of a rightcylinder with a circular base. Surface of the cone. 44. Let the generatrix beany straight line oblique to theaxis of Z, as BC. Denote thedistance A (7, by c. Tlien, sinceBC passes through the… … ar -f- whence. r = 200 ANALYTICAL GEOMETRY whence, vre have (Ait. 35), [book Vl z— c V^M-y; or. (z — cy = a^ix^ + 2/^; (1.) In this equation, a is the tangent of the angle CBX.Denote its supplement, CBA^ by v; then,* or. a^ = tan^y a = — tan v;hence, Equation (l) becomes, (a;2 + y2) tan^y = (2 —…
Geometry, Analytic · Calculus
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