Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 259
d cut-ting the circle in D. Take OP = BD. The locus of P as OBrevolves about 0, is the cissoid. To find its equation, takeOX and OY ± to it as axes. Let P be (x, y) and the radiusCA of the circle equal to a. * Invented by Diodes, a Greek geometer of the second century b. c,for finding two mean… … Fig. 135. MP : OM :: ND : ON; OM = NA [since OP = BD],0N = 2(x-x, ND=V(2^ x)x. \/(2a-x)x „ x^ ^ or 2/ = 9 ? ^ 2a-a; is tlie equation required. Discussion. — (1) Curve is symmetrical to a;-axis. (2) It lies entirely between the lines x = 0, x = 2a. (3) It passes through the extremities of the…
Geometry, Analytic
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
