epicycloid

[ ep-uh-sahy-kloid ]

/ 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].

Compare epitrochoid.

Origin of epicycloid

First recorded in 1780–90; epicycle + -oid

OTHER WORDS FROM epicycloid

ep·i·cy·cloi·dal, adjective

Words nearby epicycloid

Epicureanism, Epicurus, epicuticle, epicycle, epicyclic train, epicycloid, epicycloidal gear, epicycloidal wheel, epicystitis, epicystotomy, Epidaurus

Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020

Example sentences from the Web for epicycloid

But if a circle be made to roll along the circumference of another circle, it becomes an epicycloid (which see).
The Sailor's Word-Book|William Henry Smyth
It follows that a line from B to M will always be tangential to the epicycloid.
Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 5|Various
The epicycloid shown is termed the “three-cusped epicycloid” or the “epicycloid of Cremona.”
Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 6|Various
It is impossible to mill out even a convex cycloid or epicycloid, by the means and in the manner above described.
Modern Machine-Shop Practice, Volumes I and II|Joshua Rose

Suppose b a tracing point on b, then as b rolls on a it will describe the epicycloid a b.
Modern Machine-Shop Practice, Volumes I and II|Joshua Rose

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 of epicycloid

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

Scientific definitions for epicycloid

epicycloid

[ ĕp′ĭ-sī′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.

单词	epicycloid
释义	epicycloid [ ep-uh-sahy-kloid ] / 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]. Compare epitrochoid. Origin of epicycloid First recorded in 1780–90; epicycle + -oid OTHER WORDS FROM epicycloid ep·i·cy·cloi·dal, adjective Words nearby epicycloid Epicureanism, Epicurus, epicuticle, epicycle, epicyclic train, epicycloid, epicycloidal gear, epicycloidal wheel, epicystitis, epicystotomy, Epidaurus Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020 Example sentences from the Web for epicycloid But if a circle be made to roll along the circumference of another circle, it becomes an epicycloid (which see). The Sailor's Word-Book\|William Henry Smyth It follows that a line from B to M will always be tangential to the epicycloid. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 5\|Various The epicycloid shown is termed the “three-cusped epicycloid” or the “epicycloid of Cremona.” Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 6\|Various It is impossible to mill out even a convex cycloid or epicycloid, by the means and in the manner above described. Modern Machine-Shop Practice, Volumes I and II\|Joshua Rose Suppose b a tracing point on b, then as b rolls on a it will describe the epicycloid a b. Modern Machine-Shop Practice, Volumes I and II\|Joshua Rose 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 of epicycloid 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 Scientific definitions for epicycloid epicycloid [ ĕp′ĭ-sī′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.
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