Euclid's Muse

your source for INTERACTIVE math apps

Create an Account

Pascal's Limacon

Profile picture of Phil Todd

Phil Todd



Given a circle with center A and a point C, here are three related ways of constructing Pascal’s Limacon:

It is the isotomic (look it up) of the circle with pole C.
It is the conchoid (look it up) of a circle centered at A whose circumference passes through C.
It is an epitrochoid (look it up) formed by a circle of equal radius rolling around the original.

This app constitutes a visual proof of the above, and depends on the fact that the composition of reflections in two parallel lines is equivalent to a translation of twice the distance between the lines.

Tags: Pascal, Limacon, Epitrochoid, Conchoid, Isotomic, Pedal, reflection
thumb Open Fullscreen
Download... Link Embed
Paste this code into your webpage as html:

« Kaleidoscope Circumcircle Construction »

© Saltire Software Terms and Conditions