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hypocycloid
(hī′pō sī′klo̵id′, -pə-; also hip′ō-, hip′ə-)
noun
Geom. the curve traced by a point on the circumference of an epicycle that rolls around the inside of a fixed circle
Origin: hypo- + cycloid
See hypocycloid in American Heritage Dictionary 4
noun
The plane locus of a point fixed on a circle that rolls on the inside circumference of a fixed circle.
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hypocycloid
If a equals the radius of a fixed circle and b equals the radius of a smaller rotating circle, the parametric equations of the hypocycloid are: x = (a - b) cosΘ + b cos [(a - b)Θ]/b
y=(a - b) sinΘ - b sin[( a - b)Θ]/b
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