Fun with Dynamic Spirograph - Circle Rolling around Rolling Circle

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benice
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Circle Rolling around Rolling Circle (1)
Circle 1 rolls around inside of the fixed base circle.
Circle 2 rolls around inside of Circle 1.

Spirograph-style diagram: a large green fixed circle with a smaller blue circle rolling inside it, and a tiny blue circle rolling inside the blue one, traced by a dot at the rightmost point.
 

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