Definition:Hypocycloid/Generator/Deferent

Definition

Let a hypocycloid be generated by rolling circle $C_1$ around the inside of another (larger) circle $C_2$.

The circle $C_2$ can be referred to as the deferent of the hypocycloid.

Also known as

A deferent is also known as a stator.

This term has been taken by $\mathsf{Pr} \infty \mathsf{fWiki}$ from the children's toy Spirograph, which itself was taken from the term stator as applied to the static part of a rotary machine.

Also see

• Definition:Epicycle of Hypocycloid

Linguistic Note

The term deferent was used by Apollonius of Perga in his exposition on epicycloids.