BRACHYSTOCHRONE n.
A curve, in which a body, starting from a given point, and descending solely by the force of gravity, will reach another given point in a shorter time than it could by any other path. This curve of quickest descent, as it is sometimes called, is, in a vacuum, the same as the cycloid.
CURVE n.
f it a straight line. Axis of a curve. See under Axis. -- Curve of quickest descent. See Brachystochrone. -- Curve tracing (Math.), the process of determining the shape, location, singular points, and other perculiarities of a curve from its equation. -- Plane curve (Geom.), a curve such that when a plane passes thr…