English definition of Trochoid

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Definition of trochoid

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Trochoid (n.) 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..

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Hypotrochoid :: Hypotrochoid (n.) A curve, traced by a point in the radius, or radius produced, of a circle which rolls upon the concave side of a fixed circle. See Hypocycloid, Epicycloid, and Trochoid..

Epitrochoid :: Epitrochoid (n.) A kind of curve. See Epicycloid, any Trochoid..

Trochoid :: Trochoid (n.) 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..

Trochoid :: Trochoid (a.) Of or pertaining to the genus Trochus or family Trochidae.

Trochoid :: Trochoid (a.) Admitting of rotation on an axis; -- sometimes applied to a pivot joint like that between the atlas and axis in the vertebral column.

Trochoidal :: Trochoidal (a.) See Trochoid, a..

Hypocycloid :: Hypocycloid (n.) A curve traced by a point in the circumference of a circle which rolls on the concave side in the fixed circle. Cf. Epicycloid, and Trochoid..

Trochoidal :: Trochoidal (a.) Of or pertaining to a trochoid; having the properties of a trochoid.

Trochoid :: Trochoid (a.) Top-shaped; having a flat base and conical spire; -- said of certain shells.