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From: Webster's Revised Unabridged Dictionary (1913)

 Ep·i·cy·cloid·al a. Pertaining to the epicycloid, or having its properties.
 Epicycloidal wheel, a device for producing straight-line motion from circular motion, on the principle that a pin fastened in the periphery of a gear wheel will describe a straight line when the wheel rolls around inside a fixed internal gear of twice its diameter.