cycloid - meaning and definition. What is cycloid
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What (who) is cycloid - definition

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
  • A cycloid generated by a rolling circle
  • The length of the cycloid as consequence of the property of its involute
  • Schematic of a cycloidal pendulum.
  • Demonstration of the properties of the involute of a cycloid
  • Generation of the involute of the cycloid unwrapping a tense wire placed on half cycloid arc (red marked)
  • Five isochronous cycloidal pendula with different amplitudes.
  • Cycloidal arches at the [[Kimbell Art Museum]]

Cycloid         
·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         
['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'.
Cycloid         
In geometry, a cycloid is the curve traced by a point on a circle as it rolls along a straight line without slipping. A cycloid is a specific form of trochoid and is an example of a roulette, a curve generated by a curve rolling on another curve.

Wikipedia

Cycloid

In geometry, a cycloid is the curve traced by a point on a circle as it rolls along a straight line without slipping. A cycloid is a specific form of trochoid and is an example of a roulette, a curve generated by a curve rolling on another curve.

The cycloid, with the cusps pointing upward, is the curve of fastest descent under uniform gravity (the brachistochrone curve). It is also the form of a curve for which the period of an object in simple harmonic motion (rolling up and down repetitively) along the curve does not depend on the object's starting position (the tautochrone curve). In physics, when a charged particle at rest is put under a uniform electric and magnetic field perpendicular to one another, the particle’s trajectory draws out a cycloid.