Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 218
—The path described by a point onthe circumference of a circle which rolls on the inside of afixed circle is called a hypocycloid. Let a be the radius ofthe fixed circle,and b the radiusof the rolling cir-cle. Let P bethe fixed point onthe rolling circle.Take the centre0 of the fixedcircle as the… … a x 202 ANALYTIC GEOMETRY [Ch. XV, § 106 diculars from C and P to the X-axis, and through P drawLR parallel to that axis. The radius OK of the fixedcircle, drawn through the point of contact K, passesthrough the centre C of the rolling circle. Let Z A0K= $,and ZPCK= 6. Then, since the arcs AK and…
Geometry, Analytic
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