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Brachystochrone
Brachystochrone Bra*chys"to*chrone, n. [Incorrect for
brachistochrone, fr. Gr. bra`chistos shortest (superl. of
brachy`s 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.
EuchroneEuchrone Eu"chrone
. (Chem.)
A substance obtained from euchroic acid. See Eychroic. Tautochrone
Tautochrone Tau"to*chrone, n. [Gr. ?, for ? ? the same + ?
time: cf. F. tautochrone.] (Math.)
A curved line, such that a heavy body, descending along it by
the action of gravity, will always arrive at the lowest point
in the same time, wherever in the curve it may begin to fall;
as, an inverted cycloid with its base horizontal is a
tautochrone.
Meaning of Chrone from wikipedia
