cycloid
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cycloid
top: surface view of cycloid scales of a bony fish
bottom: The parametric equations of this cycloid are
x = r(θ - sin θ),
y = r(1 - cos θ).
cycloidcy·cloid
(sī′kloid′)adj.
1. Resembling a circle.
2. Zoology
a. Relating to or being a kind of fish scale that is thin, rounded, and smooth-edged and often shows concentric growth rings.
b. Having cycloid scales.
3. Psychology Afflicted with or relating to cyclothymia.
n. Mathematics
The curve traced by a point on the circumference of a circle that rolls on a straight line.
[French cycloïde, from Greek kukloeidēs, circular : kuklos, circle; see kwel- in Indo-European roots + -oeidēs, -oid.]
cy·cloi′dal (-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.
cycloid
(ˈsaɪklɔɪd)adj
1. (Mathematics) resembling a circle
2. (Zoology) (of fish scales) rounded, thin, and smooth-edged, as those of the salmon
3. (Psychiatry) psychiatry (of a type of personality) characterized by exaggerated swings of mood between elation and depression. See also cyclothymia
n
4. (Mathematics) geometry the curve described by a point on the circumference of a circle as the circle rolls along a straight line. Compare trochoid1
5. (Zoology) a fish that has cycloid scales
cyˈcloidal adj
cyˈcloidally adv
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
cy•cloid
(ˈsaɪ klɔɪd)adj.
1. resembling a circle; circular.
2.
a. (of the scale of a fish) smooth-edged and more or less circular in form.
b. (of a fish) having such scales.
3. Psychiatry. of or denoting a personality type characterized by wide fluctuations in mood within the normal range.
n. 4. a curve generated by a point on the circumference of a circle that rolls, without slipping, on a straight line.
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.
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Noun | 1. | cycloid - a line generated by a point on a circle rolling along a straight line line roulette, roulette - a line generated by a point on one figure rolling around a second figure curate cycloid - a cycloid generated by a point inside the rolling circle prolate cycloid - a cycloid generated by a point outside the rolling circle |
Adj. | 1. | cycloid - resembling a circle rounded - curving and somewhat round in shape rather than jagged; "low rounded hills"; "rounded shoulders" |
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