Definition:Epitrochoid/Curtate

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 curtate epitrochoid.

Graph

Also known as

A curtate epitrochoid is also known as a contracted epicycloid.

Also see

• Definition:Epitrochoid
• Definition:Prolate Epitrochoid

• Definition:Epicycloid