Trochoid

Trochoid
Trochoid Tro"choid, n. [Gr. ? a wheel + -oid; cf. F. trocho["i]de. See {Troche}.] (Geom.) 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. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

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  • Trochoid — Tro choid, a. 1. (Anat.) Admitting of rotation on an axis; sometimes applied to a pivot joint like that between the atlas and axis in the vertebral column. [1913 Webster] 2. (Zo[ o]l.) Top shaped; having a flat base and conical spire; said of… …   The Collaborative International Dictionary of English

  • trochoid — [trō′koid΄] n. [< Gr trochoeides, round like a wheel < trochos (see TROCHE) + eidos, OID] Geom. any cycloid adj. having a wheel like rotary motion on an axis, as a joint: also trochoidal …   English World dictionary

  • Trochoid — [ thumb|290px|right|A cycloid (a common trochoid) generated by a rolling circle] Trochoid is the word created by Gilles de Roberval for the curve described by a fixed point as a circle rolls along a straight line. As a circle of radius a rolls… …   Wikipedia

  • trochoid — [ trəʊkɔɪd] adjective 1》 Anatomy denoting a joint in which one element rotates on its own axis (e.g. the atlas vertebra). 2》 Geometry denoting a curve traced by a point on a radius of a circle rotating along a straight line or another circle. 3》… …   English new terms dictionary

  • trochoid — adj. & n. adj. 1 Anat. rotating on its own axis. 2 Geom. (of a curve) traced by a point on a radius of a circle rotating along a straight line or another circle. n. a trochoid joint or curve. Derivatives: trochoidal adj. Etymology: Gk trokhoeides …   Useful english dictionary

  • trochoid joint — noun see trochoid I, 2 …   Useful english dictionary

  • trochoid — noun Etymology: Greek trochoeidēs like a wheel, from trochos wheel Date: circa 1704 the curve generated by a point on the radius of a circle or the radius extended as the circle rolls on a fixed straight line • trochoidal adjective …   New Collegiate Dictionary

  • trochoid — trochoidal, adj. trochoidally, adv. /troh koyd/, n. 1. Geom. a curve traced by a point on a radius or an extension of the radius of a circle that rolls, without slipping, on a curve, another circle, or a straight line. Equation: x = a t b sin(t) …   Universalium

  • trochoid — 1. noun The curve traced by a point on a circle as it rolls along a straight line 2. adjective a) capable of rolling b) allowing …   Wiktionary

  • trochoid — Revolving; rotating; denoting a revolving or wheel like articulation. [G. trochodes, fr. trochos, wheel, + eidos, resemblance] * * * tro·choid trō .kȯid n PIVOT JOINT * * * tro·choid (troґkoid) [Gr. trochos wheel + oid] resembling a pivot or a… …   Medical dictionary

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