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Brachystochrone

created by Webster 1913

(definition) by Webster 1913 (print) Tue Dec 21 1999 at 22:13:36

Bra*chys"to*chrone (?), n. [Incorrect for brachistochrone, fr. Gr. shortest (superl. of 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.

 

© Webster 1913.


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