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What (who) is cycloid$18408$ - definition
FAMILY OF MATHEMATICAL CURVES
Prolate cycloid; Curtate cycloid; Trochoids
![A [[cycloid]] (a common trochoid) generated by a rolling circle](https://commons.wikimedia.org/wiki/Special:FilePath/Cycloid f.gif?width=200 "A [[cycloid]] (a common trochoid) generated by a rolling circle")
Cycloidal
CURVE TRACED BY A POINT ON A CIRCLE AS IT ROLLS ALONG A STRAIGHT LINE WITHOUT SLIPPING
The Cycloids; Cycloidal; Cycloids; Curate cycloid; The Helen of Geometers; The Helen of Geometry; Cycloidal pendulum
·adj Pertaining to, or resembling, a cycloid; as, the cycloidal space is the space contained between a cycloid and its base.
Cycloid
CURVE TRACED BY A POINT ON A CIRCLE AS IT ROLLS ALONG A STRAIGHT LINE WITHOUT SLIPPING
The Cycloids; Cycloidal; Cycloids; Curate cycloid; The Helen of Geometers; The Helen of Geometry; Cycloidal pendulum
·noun One of the Cycloidei.
II. Cycloid ·adj Of or pertaining to the Cycloidei.
III. Cycloid ·noun A curve generated by a point in the plane of a circle when the circle is rolled along a straight line, keeping always in the same plane.
cycloid
CURVE TRACED BY A POINT ON A CIRCLE AS IT ROLLS ALONG A STRAIGHT LINE WITHOUT SLIPPING
The Cycloids; Cycloidal; Cycloids; Curate cycloid; The Helen of Geometers; The Helen of Geometry; Cycloidal pendulum
['s??kl??d]
¦ noun Mathematics a curve (resembling a series of arches) traced by a point on a circle being rolled along a straight line.
Derivatives
cycloidal adjective
Origin
C17: from Gk kukloeides 'circular'.
Wikipedia
Trochoid
In geometry, a trochoid (from Greek trochos 'wheel') is a roulette curve formed by a circle rolling along a line. It is the curve traced out by a point fixed to a circle (where the point may be on, inside, or outside the circle) as it rolls along a straight line. If the point is on the circle, the trochoid is called common (also known as a cycloid); if the point is inside the circle, the trochoid is curtate; and if the point is outside the circle, the trochoid is prolate. The word "trochoid" was coined by Gilles de Roberval.
