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
 epicureous,
 epicurus,
 epicuticle,
 epicycle,
 epicyclic train,
 epicycloidal gear,
 epicycloidal wheel,
 epicystitis,
 epicystotomy,
 epidaurus
Compare epitrochoid.
Origin of epicycloid
Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
Examples from the Web 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)
Collins English Dictionary  Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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
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