epicycloid

epicycloidThe parametric equations of an epicycloid arex = (a + b) cos θ - b cos ( ^{a + b}/_b θ)y = (a + b) sin θ - b sin ( ^{a + b}/_b θ).

ep·i·cy·cloid

E0176600 (ĕp′ĭ-sī′kloid′)n. The curve described by a point on the circumference of a circle as the circle rolls on the outside of the circumference of a second, fixed circle.

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ep′i·cy·cloid′al (-kloid′l) adj.

epicycloid

(ˌɛpɪˈsaɪklɔɪd) n (Mathematics) the curve described by a point on the circumference of a circle as this circle rolls around the outside of another fixed circle, the two circles being coplanar. Compare hypocycloid, cycloid⁴ ˌepicyˈcloidal adj

ep•i•cy•cloid

(ˌɛp əˈsaɪ klɔɪd)

n. a curve generated by the motion of a point on the circumference of a circle that rolls externally, without slipping, on a fixed circle. [1780–90] ep`i•cy•cloi′dal, adj.

Thesaurus

Noun

1.

epicycloid - a line generated by a point on a circle rolling around another circleline roulette, roulette - a line generated by a point on one figure rolling around a second figurecardioid - an epicycloid in which the rolling circle equals the fixed circle

Translations

epicicloide