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.