epicycloid

[Ep`i*cy·cloid]

A line generated by a point on a circle rolling around another circle

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A curve traced by a point in the circumference of a circle which rolls on the convex side of a fixed circle.

Noun
a line generated by a point on a circle rolling around another circle

n.
A curve traced by a point in the circumference of a circle which rolls on the convex side of a fixed circle.

Epicycloid

Ep`i*cy"cloid , n. [Epicycle + -oid: cf. F. '82picyclo'8bde.] (Geom.) A curve traced by a point in the circumference of a circle which rolls on the convex side of a fixed circle. &hand; 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.

A curve traced by a point in the circumference of a circle which rolls on the convex side of a fixed circle.

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Usage Examples

Misspelled Form

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