GNU Collaborative International Dictionary of English

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1.       
   Brachystochrone , n. [Incorrect for brachistochrone, fr. Gr. βράχιστος shortest (superl. of βραχύς short) +  time : cf. F. brachistochrone. ] (Math.) 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.
   1913 Webster