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The parametric equations of an epicycloid are
x = (a + b) cos θ - b cos ( a + b/b
y = (a + b) sin θ - b sin ( a + b/b
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.
ep′i·cy·cloid′al (-kloid′l) adj.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
ep•i•cy•cloid(ˌɛp əˈsaɪ klɔɪd)
a curve generated by the motion of a point on the circumference of a circle that rolls externally, without slipping, on a fixed circle.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
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|Noun||1.||epicycloid - a line generated by a point on a circle rolling around another circle|
cardioid - an epicycloid in which the rolling circle equals the fixed circle
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