Tautochrone definitions

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Tautochrone

Tautochrone logo #21002• (n.) 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.
Found on http://thinkexist.com/dictionary/meaning/tautochrone/

tautochrone

tautochrone logo #20973<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; as, an inverted cycloid with its base horizontal is a tautochrone. ... Origin: Gr, for the same + time: cf. F. Tautochrone. ... Source: Websters...
Found on http://www.encyclo.co.uk/local/20973

Tautochrone

Tautochrone logo #20972Tau'to·chrone noun [ Greek ..., for ... ... the same + ... time: confer French 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,...
Found on http://www.encyclo.co.uk/webster/T/15

tautochrone

tautochrone logo #21009tautochrone That curve upon which a particle moving under the action of gravity (or any given force) will reach the lowest (or some fixed) point in the same time, from whatever point it starts. A tautochrone or isochrone curve is the curve for which the time taken by a frictionless particle sliding down it under uniform gravity to its lowest point...
Found on http://www.wordinfo.info/words/index/info/view_unit/2091/
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