Prolate Cycloid Evolute

Author

Eric W. Weisstein
March 16, 2008

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

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

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

Equation

?Cycloid

Cycloid[{a,b},t]

FullSimplify[Evolute[CurtateCycloid[{a,b},t],t],0<a<b]

Plot

EvolutePlot[Cycloid[1,1.2],{t,-Pi,3Pi}]