
Cycloid - Wikipedia
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 …
Cycloid -- from Wolfram MathWorld
Apr 12, 2025 · The cycloid is the locus of a point on the rim of a circle of radius rolling along a straight line. It was studied and named by Galileo in 1599. Galileo attempted to find the area …
CYCLOID Definition & Meaning - Merriam-Webster
The meaning of CYCLOID is a curve that is generated by a point on the circumference of a circle as it rolls along a straight line. How to use cycloid in a sentence.
Cycloid | Parametric curve, Geometry, Calculus | Britannica
cycloid, the curve generated by a point on the circumference of a circle that rolls along a straight line. If r is the radius of the circle and θ (theta) is the angular displacement of the circle, then …
circloid - Wiktionary, the free dictionary
circloid (plural circloids) (mathematics) A variant of a cycloid being the locus of a point on a circle that rolls around another circle
Cycloid - MacTutor History of Mathematics
The cycloid is the locus of a point at distance h h from the centre of a circle of radius a a that rolls along a straight line. If h < a h <a it is a curtate cycloid while if h > a h>a it is a prolate cycloid. …
19.1: Introduction to Cycloids - Physics LibreTexts
As the circle rolls on the line, the point P describes a curve, which is known as a cycloid.
Cycloids and Other Parametric Curves | Calculus II - Lumen …
The path that this ant travels down a straight road is called a cycloid (Figure 10). A cycloid generated by a circle (or bicycle wheel) of radius a is given by the parametric equations. x(t) = …
Cycloid - Encyclopedia of Mathematics
Dec 6, 2023 · The cycloid is a tautochronic (or isochronic) curve, that is, a curve for which the time of descent of a material point along this curve from a certain height under the action of gravity …
Cycloid - Michigan State University
The cycloid is the locus of a point on the rim of a Circle of Radius rolling along a straight Line. It was studied and named by Galileo in 1599. Galileo attempted to find the Area by weighing …