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- Epicycloid abstract "In geometry, an epicycloid is a plane curve produced by tracing the path of a chosen point of a circle — called an epicycle — which rolls without slipping around a fixed circle. It is a particular kind of roulette.If the smaller circle has radius r, and the larger circle has radius R = kr, then theparametric equations for the curve can be given by either:or:If k is an integer, then the curve is closed, and has k cusps (i.e., sharp corners, where the curve is notdifferentiable).If k is a rational number, say k=p/q expressed in simplest terms, then the curve has p cusps.If k is an irrational number, then the curve never closes, and forms a dense subset of the space between the larger circle and a circle of radius R + 2r. Epicycloid examples The epicycloid is a special kind of epitrochoid.An epicycle with one cusp is a cardioid.An epicycloid and its evolute are similar.[1]".
- Epicycloid thumbnail EpitrochoidOn3-generation.gif?width=300.
- Epicycloid wikiPageExternalLink Epicycloid.
- Epicycloid wikiPageExternalLink 10.1007%2Fs12045-013-0106-3.
- Epicycloid wikiPageExternalLink EpicycloidEvolute.html.
- Epicycloid wikiPageExternalLink Home.
- Epicycloid wikiPageID "713354".
- Epicycloid wikiPageRevisionID "598753829".
- Epicycloid class "Curves".
- Epicycloid hasPhotoCollection Epicycloid.
- Epicycloid id "Epicycloid".
- Epicycloid title "Epicycloid".
- Epicycloid subject Category:Algebraic_curves.
- Epicycloid subject Category:Curves.
- Epicycloid comment "In geometry, an epicycloid is a plane curve produced by tracing the path of a chosen point of a circle — called an epicycle — which rolls without slipping around a fixed circle.".
- Epicycloid label "Epicicloide".
- Epicycloid label "Epicicloide".
- Epicycloid label "Epicicloide".
- Epicycloid label "Epicycloid".
- Epicycloid label "Epicykloida".
- Epicycloid label "Epizykloide".
- Epicycloid label "Épicycloïde".
- Epicycloid label "Эпициклоида".
- Epicycloid label "دويري فوقي".
- Epicycloid label "外摆线".
- Epicycloid sameAs Epizykloide.
- Epicycloid sameAs Epicicloide.
- Epicycloid sameAs Epizikloide.
- Epicycloid sameAs Épicycloïde.
- Epicycloid sameAs Epicicloide.
- Epicycloid sameAs Epicykloida.
- Epicycloid sameAs Epicicloide.
- Epicycloid sameAs m.03515h.
- Epicycloid sameAs Q214556.
- Epicycloid sameAs Q214556.
- Epicycloid wasDerivedFrom Epicycloid?oldid=598753829.
- Epicycloid depiction EpitrochoidOn3-generation.gif.
- Epicycloid isPrimaryTopicOf Epicycloid.