epicycloid
[ epuhsahykloid ]
/ ˌɛp əˈsaɪ klɔɪd /

noun Geometry.
a curve generated by the motion of a point on the circumference of a circle that rolls externally, without slipping, on a fixed circle. Equation: x = (a + b) cos(θ) − b cos[(a + b)θ/b] and y = (a + b) sin(θ) − b sin[(a + b)θ/b].
Nearby words
epicureanism, epicurus, epicuticle, epicycle, epicyclic train, epicycloid, epicycloidal gear, epicycloidal wheel, epicystitis, epicystotomy, epidaurus
Compare epitrochoid.
Related forms
ep·i·cy·cloi·dal, adjectiveDictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
Examples from the Web for epicycloid
British Dictionary definitions for epicycloid
epicycloid
/ (ˌɛpɪˈsaɪklɔɪd) /
noun
the curve described by a point on the circumference of a circle as this circle rolls around the outside of another fixed circle, the two circles being coplanarCompare hypocycloid, cycloid (def. 4)
Derived Forms
epicycloidal, adjectiveCollins English Dictionary  Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Science definitions for epicycloid
epicycloid
[ ĕp′ĭsī′kloid′ ]
The curve described by a point on the circumference of a circle as the circle rolls on the outside of the circumference of a second, fixed circle.
The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.