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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.