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The Collaborative International Dictionary of English v.0.48 (gcide)

Epicycloid \Ep`i*cy"cloid\, n. [Epicycle -oid: cf. F.
['e]picyclo["i]de.] (Geom.)
A curve traced by a point in the circumference of a circle
which rolls on the convex side of a fixed circle.
[1913 Webster]

Note: Any point rigidly connected with the rolling circle,
but not in its circumference, traces a curve called an
epitrochoid. The curve traced by a point in the
circumference of the rolling circle when it rolls on
the concave side of a fixed circle is called a
hypocycloid; the curve traced by a point rigidly
connected with the rolling circle in this case, but not
its circumference, is called a hypotrochoid. All the
curves mentioned above belong to the class class called
roulettes or trochoids. See {Trochoid}.
[1913 Webster]

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