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Noah Webster's 1828 American Dictionary
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E  ›  epicycloid
E  ›  epicycloid
1828 Definition

EPICYC'LOID, n. [Gr. form.] In geometry, a curve generated by the revolution of the periphery of a circle along the convex or concave side of the periphery of another circle.

A curve generated by any point in the plane of a movable circle which rolls on the inside or outside of the circumference of a fixed circle.
1913 Definition
Epicycloid (epicycloid)
n.(?)
Ep`i*cy"cloid
[Epicycle + -oid: cf. F. épicycloïde.] (Geom.)
  1. A curve traced by a point in the circumference of a circle which rolls on the convex side of a fixed circle.

    * 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.


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