1. <geometry> The curve described by any point in a wheel rolling on a line; a cycloid; a roulette; in general, the curve described by any point fixedly connected with a moving curve while the moving curve rolls without slipping on a second fixed curve, the curves all being in one plane. Cycloids, epicycloids, hypocycloids, cardioids, etc, are all trochoids.
Origin: Gr. A wheel; cf. F. Trochoide. See Troche.
(28 Oct 1998)
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