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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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