If a is the radius of a fixed circle and b is the radius of a smaller rotating circle, the parametric equations of the hypocycloid are x = (a - b) cos θ + b cos [(a - b) θ ]/b
y = (a - b) sin θ - b sin [( a - b) θ ]/b.
hy·po·cy·cloid
(hī′pō-sī′kloid′)n.
The plane locus of a point fixed on a circle that rolls on the inside circumference of a fixed circle.
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.
hypocycloid
(ˌhaɪpəˈsaɪklɔɪd)n
(Mathematics) a curve described by a point on the circumference of a circle as the circle rolls around the inside of a fixed coplanar circle. Compare epicycloid, cycloid4
ˌhypocyˈcloidal adj
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
hy•po•cy•cloid
(ˌhaɪ pəˈsaɪ klɔɪd)n.
a curve generated by the motion of a point on the circumference of a circle that rolls internally, without slipping, on a fixed circle.
[1835–45]
hy`po•cy•cloi′dal, adj.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
| Noun | 1. |  hypocycloid - a line generated by a point on a circle that rolls around inside another circleline roulette, roulette - a line generated by a point on one figure rolling around a second figure |
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.