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epicycloid
(ep′ə sī′klo̵id′)
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:
- epicycloidal adjective
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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