# Definition:Epicycloid

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## Definition

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

The locus of a given point on the circumference of $C_1$ is known as an epicycloid.

### Generator

The circles $C_1$ and $C_2$ can be referred to as the generators of the epicycloid.

### Stator

The circle $C_2$ can be referred to as the stator of the epicycloid.

### Rotor

The circle $C_1$ can be referred to as the rotor of the epicycloid.

### Cusp

A cusp of the epicycloid is defined as a point where the epicycloid meets the static circle, the stator.

### Arc

An arc of the epicycloid is defined as one of the curves between two of the cusps of the epicycloid.

## Also see

• Results about epicycloids can be found here.

## Linguistic Note

The epi- prefix in the term epicycloid comes from the Greek word meaning on or above.

The prefix can be seen in other common words, for example epicenter.