epicycloid

(ep′ə sīklo̵id′)

noun

Geom. the curve traced by a point on the circumference of an epicycle that rolls around the outside of a fixed circle

Origin: epicycl(e) + -oid

Related Forms:

See epicycloid in American Heritage Dictionary 4

noun
The curve described by a point on the circumference of a circle as the circle rolls on the outside of the circumference of a second, fixed circle.

Related Forms:

  • epˌi·cy·cloidˈal (-kloidˈl) adjective

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epicycloid

The parametric equations of a three-cusped epicycloid are:

x=(a + b) cosΘ - b cos a + b/b

Θ

y = (a + b) sinΘ - b sin a + b/b

Θ

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