Epicycloid

Epicycloid
Epicycloid Ep`i*cy"cloid, n. [Epicycle + -oid: cf. F. ['e]picyclo["i]de.] (Geom.) A curve traced by a point in the circumference of a circle which rolls on the convex side of a fixed circle. [1913 Webster]

Note: Any point rigidly connected with the rolling circle, but not in its circumference, traces a curve called an epitrochoid. The curve traced by a point in the circumference of the rolling circle when it rolls on the concave side of a fixed circle is called a hypocycloid; the curve traced by a point rigidly connected with the rolling circle in this case, but not its circumference, is called a hypotrochoid. All the curves mentioned above belong to the class class called roulettes or trochoids. See {Trochoid}. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • epicycloid — [ep΄ə sī′kloid΄] n. [ EPICYCL(E) + OID] Geom. the curve traced by a point on the circumference of an epicycle that rolls around the outside of a fixed circle: cf. HYPOCYCLOID epicycloidal [ep΄ə sī′kloid′ l] adj …   English World dictionary

  • Epicycloid — In geometry, an epicycloid is a plane curve produced by tracing the path of a chosen point of a circle mdash; called epicycle mdash; which rolls without slipping around a fixed circle. It is a particular kind of roulette.If the smaller circle has …   Wikipedia

  • epicycloid — noun Date: circa 1755 a curve traced by a point on a circle that rolls on the outside of a fixed circle • epicycloidal adjective …   New Collegiate Dictionary

  • epicycloid — epicycloidal, adj. /ep euh suy kloyd/, n. Geom. a curve generated by the motion of a point on the circumference of a circle that rolls externally, without slipping, on a fixed circle. Equation: x = (a + b) cos(t) b cos [(a + b)t/b] and y = (a +… …   Universalium

  • epicycloid — noun The locus of a point on the circumference of a circle that rolls without slipping on the circumference of another circle …   Wiktionary

  • epicycloid — ep·i·cy·cloid || ‚epɪ saɪklɔɪd n. curve that is described by a point on the perimeter of a circle as the circle moves on the outside of the circumference of another circle (Mathematics) …   English contemporary dictionary

  • epicycloid — [ˌɛpɪ sʌɪklɔɪd] noun Mathematics a curve traced by a point on the circumference of a circle rolling on the exterior of another circle. Derivatives epicycloidal adjective …   English new terms dictionary

  • epicycloid — ep·i·cy·cloid …   English syllables

  • epicycloid — ep•i•cy•cloid [[t]ˌɛp əˈsaɪ klɔɪd[/t]] n. math. a curve generated by the motion of a point on the circumference of a circle that rolls externally, without slipping, on a fixed circle • Etymology: 1780–90 ep i•cy•cloi′dal, adj …   From formal English to slang

  • epicycloid — /ɛpiˈsaɪklɔɪd/ (say epee suykloyd) noun Geometry a curve generated by the motion of a point on the circumference of a circle which revolves, usually externally, on the circumference of a larger circle. –epicycloidal /ˌɛpisaɪˈklɔɪdl/ (say .epeesuy …  

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