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epicycloid
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Epicycloid - Wikipedia
a plane curve produced by tracing the path of a chosen point on the circumference of a circle—called an epicycle—which rolls without slipping around a fixed ...
en.wikipedia.org
en.wikipedia.org
Epicycloid -- from Wolfram MathWorld
The path traced out by a point P on the edge of a circle of radius b rolling on the outside of a circle of radius a. An epicycloid is therefore an epitrochoid ...
mathworld.wolfram.com
mathworld.wolfram.com
Epicycloid - GeeksforGeeks
An epicycloid is a type of curve that is traced by a point on the circumference of a circle as it rolls around the outside of another fixed circle.
www.geeksforgeeks.org
www.geeksforgeeks.org
epicycloid
epicycloid (ɛpɪˈsaɪklɔɪd) [f. epicycle + -oid.] A curve generated by a point in the circumference of a moveable circle, which revolves on that of a fixed circle; in accurate phraseology the term is now limited to the case in which the moveable circle rolls on the exterior of the other (formerly exte...
Oxford English Dictionary
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Epicycloid - Desmos
Epicycloid: An epicycloid is traced by a fixed point on a circle of radius r rolling around the outside of a circle of radius R. Use the slider to adjust ...
www.desmos.com
www.desmos.com
Epicycloid - MATHCURVE.COM
The epicycloid is the envelope of a diameter of a circle with radius twice that of (C), rolling without slipping on (C0) externally.
mathcurve.com
mathcurve.com
Epitrochoid
Special cases include the limaçon with and the epicycloid with .
The classic Spirograph toy traces out epitrochoid and hypotrochoid curves. See also
Cycloid
Cyclogon
Epicycloid
Hypocycloid
Hypotrochoid
Spirograph
List of periodic functions
Rosetta (orbit)
Apsidal precession
References
wikipedia.org
en.wikipedia.org
HOW TO DRAW THE EPICYCLOID IN ENGINEERING DRAWING
A Circle of 50 mm diameter rolls on the outer circumference of another circle of 150 mm Diameter. Trace the locus of the point on the ...
www.youtube.com
www.youtube.com
Epicycloid - GeoGebra
An epicycloid is traced by a fixed point on a circle of radius r rolling around the outside of a circle of radius R. Use the slider to adjust the ratio R/r ...
www.geogebra.org
www.geogebra.org
Deriving the Equations of an Epicycloid - YouTube
In this video, we derive the parametric equations describing an epicycloid - a shape similar to a regular cycloid, but instead of rolling a ...
www.youtube.com
www.youtube.com
EPICYCLOID Definition & Meaning - Merriam-Webster
noun epi· cy· cloid ˌe-pə-ˈsī-ˌklȯid : a curve traced by a point on a circle that rolls on the outside of a fixed circle.
www.merriam-webster.com
www.merriam-webster.com
epitrochoid
epitrochoid Math. (ɛpɪˈtrɒkɔɪd) [f. Gr. ἐπί upon + τροχός wheel + -oid; after analogy of epicycloid.] The curve described by a point rigidly connected with the centre of a circle which rolls on the outside of another circle. Cf. epicycloid.1843 Penny Cycl. XXV. 284/2. 1879 Thomson & Tait Nat. Phil. ...
Oxford English Dictionary
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Hypocycloid
Thanks to this result, one can use 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 See also
Roulette (curve)
Special cases: Tusi couple, Astroid, Deltoid
List of periodic functions
Cyclogon
Epicycloid
Hypotrochoid
Epitrochoid
wikipedia.org
en.wikipedia.org
Epicycloid: How do I get the characteristic equation given a picture and specific points I am simulating a process and the resulting line has the shape of an epicyloid. the epicycloid- like shape of the line For my n...
You are talking about prolate epicycloid.
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Cyclocycloid
And r can be positive or negative depending on whether it is of an Epicycloid or Hypocycloid variety. See also
Centered trochoid
Cycloid
Epicycloid
Hypocycloid
Spirograph
External links
Plane curves
wikipedia.org
en.wikipedia.org