# Envelope of Two Families of Plane Curves

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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

## Snapshots

## Details

detailSectionParagraph## Permanent Citation

"Envelope of Two Families of Plane Curves"

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

Wolfram Demonstrations Project

Published: March 7 2011