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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 Tautochrone from wikipedia