
the planar curve on which a body subjected only to the force of gravity will slide (without friction) between two points in the least possible time ... [2 related articles]
Found on
http://www.britannica.com/eb/a-z/b/103

In mathematics, a brachistochrone is the curve between two points through which a body moves under the force of gravity in a shorter time than for any other curve, that is the path of quickest descent.
Found on
http://www.probertencyclopaedia.com/browse/AB.HTM

the curve between two points that in the shortest time by a body moving under an external force without friction; the curve of quickest descent.
Found on
https://www.infoplease.com/dictionary/brachistochrone
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