Definition:Epicycloid/Generator

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Definition

Let an epicycloid be generated by rolling a circle $C_1$ around the outside of another circle $C_2$.


Epicycloid.png


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.


Also known as

The generators of an epicycloid can also be referred to as its generating circles.


Note on Terminology

The term generator as used in this context was coined by $\mathsf{Pr} \infty \mathsf{fWiki}$ to describe this object.

While the literature on epicycloids is extensive, there appears from some cursory web searching that there does not appear to be a standard name for either of the circles involved in their generation.

As the philosophy of $\mathsf{Pr} \infty \mathsf{fWiki}$ values brevity, it has been decided that this can be remedied.