Elliptic Epitrochoid

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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.


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.


Contributed by: Erik Mahieu (December 2017)
Open content licensed under CC BY-NC-SA



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