Cycloid Involute

Author

Eric W. Weisstein
March 16, 2008

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

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

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

Equation

FullSimplify[Involute[a{t-Sin[t],1-Cos[t]},t],t>0]

Plot

InvolutePlot[{t-Sin[t],1-Cos[t]},{t,0,4Pi}]