EXAMPLES | WORD ORIGIN 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]. Origin of epicycloid
First recorded in
-oid Related forms ep·i·cy·cloi·dal, adjective
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
Examples from the Web for epicycloid Historical Examples of epicycloid
It follows that a line from B to M will always be tangential to the
Suppose b a tracing point on b, then as b rolls on a it will describe the
epicycloid a b.
It is impossible to mill out even a convex cycloid or
epicycloid, by the means and in the manner above described.
But if a circle be made to roll along the circumference of another circle, it becomes an
epicycloid (which see).
epicycloid shown is termed the “three-cusped epicycloid” or the “ epicycloid of Cremona.” British Dictionary definitions for epicycloid 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 coplanar Compare hypocycloid, cycloid (def. 4) Derived Forms epicycloidal, adjective
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
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.