hypocycloid

hypocycloid
The locus of a point on the circumference of a circle that rolls without slipping inside the circumference of another circle.

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  • Hypocycloid — Hy po*cy cloid, n. [Pref. hypo + cycloid: cf. F. hypocyclo[ i]de.] (Geom.) 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}. [1913 Webster] …   The Collaborative International Dictionary of English

  • hypocycloid — [hī΄pō sī′kloid΄, hī΄pəsī′kloid΄; ] also [ hip΄ōsī′kloid΄, hip΄əsī′kloid΄] n. [ HYPO + CYCLOID] Geom. the curve traced by a point on the circumference of an epicycle that rolls around the inside of a fixed circle: cf. EPICYCLOID …   English World dictionary

  • Hypocycloid — In geometry, a hypocycloid is a special plane curve generated by the trace of a fixed point on a small circle that rolls within a larger circle. It is comparable to the cycloid but instead of the circle rolling along a line, it rolls within a… …   Wikipedia

  • hypocycloid — noun Date: 1843 a curve traced by a point on the circumference of a circle rolling internally on the circumference of a fixed circle …   New Collegiate Dictionary

  • hypocycloid — hypocycloidal, adj. /huy peuh suy kloyd/, n. Geom. a curve generated by the motion of a point on the circumference of a circle that rolls internally, without slipping, on a given circle. [1835 45; HYPO + CYCLOID] * * * …   Universalium

  • hypocycloid — n. geometric figure formed by tracing the movement of a set point on the circumference of a smaller circle that is rolling within a larger circle (Geometry) …   English contemporary dictionary

  • hypocycloid — [ˌhʌɪpə(ʊ) sʌɪklɔɪd] noun Mathematics the curve traced by a point on the circumference of a circle which is rolling on the interior of another circle. Derivatives hypocycloidal adjective …   English new terms dictionary

  • hypocycloid — hy·po·cycloid …   English syllables

  • hypocycloid — hy•po•cy•cloid [[t]ˌhaɪ pəˈsaɪ klɔɪd[/t]] n. math. a curve generated by the motion of a point on the circumference of a circle that rolls internally, without slipping, on a fixed circle • Etymology: 1835–45 hy po•cy•cloi′dal, adj …   From formal English to slang

  • hypocycloid — /haɪpəˈsaɪklɔɪd/ (say huypuh suykloyd) noun a curve generated by the motion of a point on the circumference of a circle which rolls internally, without slipping, on a given circle. –hypocycloidal /haɪpəsaɪˈklɔɪdl/ (say huypuhsuy kloydl),… …  

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