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Webster 1913 Edition


Tautochrone

Tau′to-chrone

,
Noun.
[Gr. [GREEK], for [GREEK] [GREEK] the same + [GREEK] 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
.

Definition 2024


tautochrone

tautochrone

English

Noun

tautochrone (plural tautochrones)

  1. (mathematics) 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.
    An inverted cycloid with its base horizontal is a tautochrone.