# Envelope of Two Families of Plane Curves

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The equation of the envelope of the family of curves {, } is symmetric with respect to and . In this case the same curve is the envelope of the family of circles sliding along a figure-eight curve and the family of figure-eight curves sliding along a circle.

Contributed by: Maxim Rytin (March 2011)

Open content licensed under CC BY-NC-SA

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"Envelope of Two Families of Plane Curves"

http://demonstrations.wolfram.com/EnvelopeOfTwoFamiliesOfPlaneCurves/

Wolfram Demonstrations Project

Published: March 7 2011