Definition:Epitrochoid/Prolate

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Definition

Let a circle $C_1$ of radius $b$ roll around the outside of another circle $C_2$ of radius $a$.

Consider a point $P$ on the line of a radius of $C_1$ at a distance $d$ from the center of $C_1$.


Let $d > b$.

The curve traced out by $P$ is called a prolate epitrochoid.

Graph

Prolate-Epitrochoid.png


Also known as

A prolate epitrochoid is also known as an extended epicycloid.


Also see