Prolate Cycloid

Author

Eric W. Weisstein
January 26, 2011

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

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

©2010 Wolfram Research, Inc. except for portions noted otherwise

Initialization

<<Mathworld`Curves`

Plots

V5

ParametricPlot[Cycloid[{1,1.2},t],{t,-Pi,3 Pi},AspectRatio->Automatic,Ticks->None,PlotStyle->Red]

TrochoidFrames[{1,1.2},4π Range[0,1,1/5]]

V5 Animation

<<Utilities`GIF`;

Export[gifs<>"cycloidp.gif",Trochoid[{1,1.2},{0,4Pi,4Pi/20}]]//Timing

V6

GraphicsColumn[{
ParametricPlot[Cycloid[{1,1.2},t],{t,-Pi,3 Pi},AspectRatio->Automatic,Ticks->None,PlotStyle->Red],
TrochoidFrames[{1,1.2},4π Range[0,1,1/5],PlotStyle->Red]
}]