Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 103
asymptotes we will represent by2w. Now multiply equations (1) and (2) by sin.27?z.Then we shall have rr2/sin.2m=if2 sin.Sm. (3) a;y 6in.2m=Jf2 sin.2m. (4) The first member of (3) represents the parallelogram CP, andthe first member of (4) represents the parallelogram CQ ; andas each of these… … THE HYPERBOLA. 95 CQ, or CP. Hence all parallelograms bounded by the asymp-totes and terminating in a point in the curve, are equal to oneanother, and each equal to the parallelogram AHCD, which hasfor one of its diagonals half of the transverse axis of A. We have now to show the analytical…
Geometry, Analytic · Calculus
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