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What (who) is prolate trochoid - 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")
Trochoid
In geometry, a trochoid (from the Greek word for wheel, "trochos") is a roulette 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.
trochoid
['tr??k??d]
¦ adjective
1. Anatomy denoting a joint in which one element rotates on its own axis (e.g. the atlas vertebra).
2. Geometry denoting a curve traced by a point on a radius of a circle rotating along a straight line or another circle.
3. Zoology (of a mollusc shell) conical with a flat base.
¦ noun
1. a trochoid curve.
2. a trochoid joint.
Derivatives
trochoidal adjective
Origin
C18: from Gk trokhoeides 'wheel-like', from trokhos 'wheel'.
Trochoid
·adj Of or pertaining to the genus Trochus or family Trochidae.
II. Trochoid ·adj Top-shaped; having a flat base and conical spire;
- said of certain shells.
III. Trochoid ·adj Admitting of rotation on an axis;
- sometimes applied to a pivot joint like that between the atlas and axis in the vertebral column.
IV. Trochoid ·noun The curve described by any point in a wheel rolling on a line; a cycloid; a roulette; in general, the curve described by any point fixedly connected with a moving curve while the moving curve rolls without slipping on a second fixed curve, the curves all being in one plane. Cycloids, epicycloids, hypocycloids, cardioids, ·etc., are all trochoids.
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.
