High Quality Content by WIKIPEDIA articles! In geometry, an epicycloid is a plane curve produced by tracing the path of a chosen point of a circle — called an epicycle — which rolls without slipping around a fixed circle. It is a particular kind of roulette. In mathematics, a curve is, generally speaking, an object similar to a straight line but which is not required to be straight. Often curves in two-dimensional (plane curves) or three-dimensional (space curves) Euclidean space are of interest.

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