Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 217
invented. 200 ANALYTIC GEOMETRY [Cii. XV, § 105 105. The cycloid.—The path described by a point onthe circumference of a circle which rolls on a straightline is called a cycloid. Let C be the centre of the moving circle of radius a,and let P be the fixed point on its circumference. Tofind the… … O N Fig. 103. parallel to the same line. Let 6 represent the circular measure of the angle MCP through Avhich the radius CP has revolved. Let the coordinates of P be (x, ?/). Then X = 031- PK. and ij = MC - KC. But OiTf= arc MP = a6>, Pir=P(7sin(9, and KC= PC cose. Hence x = a(9 — sin ^), y z=…
Geometry, Analytic
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