hypocycloid [hī′pō sī′klo̵id′, -pə-; also hip′ō-, hip′ə-]
hypocycloid definition by Webster's New World
Webster's New World College Dictionary Copyright © 2010 by Wiley Publishing, Inc., Cleveland, Ohio. Used by arrangement with John Wiley & Sons, Inc.
Geom. the curve traced by a point on the circumference of an epicycle that rolls around the inside of a fixed circle
Origin: hypo- plush cycloid
hypocycloid definition by American Heritage Dictionary
The American Heritage® Dictionary of the English Language, 4th edition Copyright © 2010 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
The plane locus of a point fixed on a circle that rolls on the inside circumference of a fixed circle.
If a equals the radius of a fixed circle and b equals the radius of a smaller rotating circle, the parametric equations of the hypocycloid are: x = (a - b) cosΘ + b cos [(a - b)Θ]/b
y=(a - b) sinΘ - b sin[( a - b)Θ]/b
hypocycloid - Science Definition
The curve described by a point on the circumference of a circle as the circle rolls on the inside of the circumference of a second, fixed circle.
a = radius of fixed circle; b = radius of rotating circle