Definition:Epicycloid/Generator/Stator

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


Note on Terminology

The term stator as used in this context appears to be non-standard.

The 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 a rotary machine.

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.


Also see