Nephroid Involute

Author

Eric W. Weisstein
March 16, 2008

This notebook downloaded from http://mathworld.wolfram.com/notebooks/PlaneCurves/NephroidInvolute.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/NephroidInvolute.html.

©2008 Wolfram Research, Inc. except for portions noted otherwise

Equation

Epicycloid[{a,a/2},t]//FullSimplify

FullSimplify[Involute[Epicycloid[{a,a/2},t],t],a>0]

Plot

InvolutePlot[Epicycloid[{1,1/2},t],{t,0,2Pi}]