This Demonstration traces the path of a point (known as the pole or generator) fixed to an ellipse that rolls without slipping around a stationary base ellipse.[more]
Moving the pole inside or outside the rolling ellipse makes the elliptic epitrochoid either curtate or prolate.
Changing the eccentricity of either ellipse creates a great variety of curves.[less]
Also define two angles:
Wolfram Demonstrations Project
Published: December 4 2017