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
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