epicycloid
Sign in to savethumb|500px|The red curve is an epicycloid traced as the small circle (radius rolls around the outside of the large circle (radius . In geometry, an epicycloid (also called hypercycloid) is a plane curve produced by tracing the path of a chosen point on the circumference of a circle—called an epicycle—which rolls without slipping around a fixed circle. It is a particular kind of roulette.
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Encyclopedic overview
6 sectionsContents
- Equations
- Area and arc length
- Proof
- See also
- References
- External links
thumb|500px|The red curve is an epicycloid traced as the small circle (radius rolls around the outside of the large circle (radius . In geometry, an epicycloid (also called hypercycloid) is a plane curve produced by tracing the path of a chosen point on the circumference of a circle—called an epicycle—which rolls without slipping around a fixed circle. It is a particular kind of roulette.
An epicycloid with a minor radius (R2) of 0 is a circle. This is a degenerate form.
Excerpted from Wikipedia’s “epicycloid” article, available under the CC BY-SA 4.0 licence.