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Topic: Geometry of the cycloids
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Posts: 359
Registered: 9/16/06
Geometry of the cycloids
Posted: Feb 6, 2013 4:22 PM
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A point C on a cycloid and has its corresponding cycloidal evolute point is E, made during rolling of its generating circle on x-axis.

If a point P divides CE so that CP/CE = k, find the locus of P.

They also appear to be also epi- and hypo-cycloids, but not sure without some computation. Required is the line on which the P-circle rolls and its crank radius.When k = 1/2, P locus is a straight line parallel to x-axis.

Please upload its sketch. This is n't a class exercise.


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