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Geometry of the cycloids
Posted:
Feb 6, 2013 4:22 PM


A point C on a cycloid and has its corresponding cycloidal evolute point is E, made during rolling of its generating circle on xaxis.
If a point P divides CE so that CP/CE = k, find the locus of P.
They also appear to be also epi and hypocycloids, but not sure without some computation. Required is the line on which the Pcircle rolls and its crank radius.When k = 1/2, P locus is a straight line parallel to xaxis.
Please upload its sketch. This is n't a class exercise.
Regards Narasimham



