Definition of Epicycloid. Meaning of Epicycloid. Synonyms of Epicycloid

Here you will find one or more explanations in English for the word Epicycloid. Also in the bottom left of the page several parts of wikipedia pages related to the word Epicycloid and, of course, Epicycloid synonyms and on the right images related to the word Epicycloid.

Definition of Epicycloid

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Epicycloidal
Epicycloidal Ep`i*cy*cloid"al, a. Pertaining to the epicycloid, or having its properties. Epicycloidal wheel, a device for producing straight-line motion from circular motion, on the principle that a pin fastened in the periphery of a gear wheel will describe a straight line when the wheel rolls around inside a fixed internal gear of twice its diameter.
Epicycloidal wheel
Epicycloidal Ep`i*cy*cloid"al, a. Pertaining to the epicycloid, or having its properties. Epicycloidal wheel, a device for producing straight-line motion from circular motion, on the principle that a pin fastened in the periphery of a gear wheel will describe a straight line when the wheel rolls around inside a fixed internal gear of twice its diameter.

Meaning of Epicycloid from wikipedia

- In geometry, an epicycloid (also called hypercycloid) is a plane curve produced by tracing the path of a chosen point on the cir****ference of a circle—called...
- reducing friction and wear). Their gear tooth profile is based on the epicycloid and hypocycloid curves, which are the curves generated by a circle rolling...
- fixed, then a point on the pitch circle of the planet gear traces an epicycloid curve. An epicyclic gear train can be ****embled so the planet gear rolls...
- the epitrochoid.) Special cases include the limaçon with R = r and the epicycloid with d = r. The classic Spirograph toy traces out epitrochoid and hypotrochoid...
- around a fixed circle of the same radius. It can also be defined as an epicycloid having a single cusp. It is also a type of sinusoidal spiral, and an inverse...
- x 0 , y 0 ) {\displaystyle (x_{0},y_{0})} . The special cases of the epicycloid and hypocycloid, generated by tracing the locus of a point on the perimeter...
- the fact that SU(k) fits inside SU(k+1) as a subgroup to prove that an epicycloid with k cusps moves snugly inside one with k+1 cusps. The evolute of a...
- nephros) 'kidney-shaped') is a specific plane curve. It is a type of epicycloid in which the smaller circle's radius differs from the larger one by a...
- which a circle rolls on the inside of another circle instead of a line. Epicycloid: variant of a cycloid in which a circle rolls on the outside of another...
- been described. The best-known of these is the cardioid, which is an epicycloid with one cusp; though as the cardioid lacks the point, it may be seen...