Cycloid vs. Brachistochrone

Cycloidnoun

(geometry) The locus of a point on the circumference of a circle that rolls without slipping on a fixed straight line.

Brachistochronenoun

(mathematics) A cycloid; the curve of fastest descent between two points. Category:en:Curves

Cycloidnoun

(zoology) A fish having cycloid scales.

Cycloidadjective

Resembling a circle; cycloidal.

Cycloidadjective

Thin and rounded, with smooth edges.

Cycloidnoun

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.

Cycloidnoun

One of the Cycloidei.

Cycloidadjective

Of or pertaining to the Cycloidei.

Cycloidnoun

a line generated by a point on a circle rolling along a straight line

Cycloidadjective

resembling a circle

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.