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Topic: Geometry of cycloid and its evolute
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Posts: 356
Registered: 9/16/06
Geometry of cycloid and its evolute
Posted: Feb 6, 2013 4:28 PM
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A point C on a cycloid and its corresponding cycloidal evolute point E are 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 appear to be also epi- and hypo-cycloids, but am not sure without some more computation work. 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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