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Plane and solid analytic geometry; an elementary textbook (1905)

Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 218

An illustration from Plane and solid analytic geometry; an elementary textbook, 1905, leaf 218
ocycloid. — 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 h the radiusof the rolling cir-cle. Let P bethe fixed point onthe rolling circle.Take the centre0 of the… … FiG. 104. 202 ANALYTIC GEOMETRY [Ch. XV, § 106 diciilars 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 O of the rolling circle. ljQiAAOK= (/>,and Z PCK— 6. Then, since the…

Geometry, Analytic

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