Definition of Tautochrone. Meaning of Tautochrone. Synonyms of Tautochrone

Here you will find one or more explanations in English for the word Tautochrone. Also in the bottom left of the page several parts of wikipedia pages related to the word Tautochrone and, of course, Tautochrone synonyms and on the right images related to the word Tautochrone.

Definition of Tautochrone

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

- A tautochrone curve or isochrone curve (from Ancient Gr**** ταὐτό (tauto-) 'same' ἴσος (isos-) 'equal' and χρόνος (chronos) 'time') is the curve for which...
- Isaac Newton in 1697. The brachistochrone curve is the same shape as the tautochrone curve; both are cycloids. However, the portion of the cycloid used for...
- 1750s by Euler and Lagrange in connection with their studies of the tautochrone problem. This is the problem of determining a curve on which a weighted...
- 1750s by Euler and Lagrange in connection with their studies of the tautochrone problem. This is the problem of determining a curve on which a weighted...
- along the curve does not depend on the object's starting position (the tautochrone curve). In physics, when a charged particle at rest is put under a uniform...
- Solutions to variational problems, such as the brachistochrone and tautochrone questions, introduced properties of curves in new ways (in this case...
- theory Noether's theorem Path integral formulation Plateau's problem Prime geodesic Principle of least action Soap bubble Soap film Tautochrone curve...
- work of Christiaan Huygens, almost one hundred years later, that the tautochrone nature of a swinging pendulum was used to create an accurate timepiece...
- same amount of time, regardless of its starting point; the so-called tautochrone problem. By geometrical methods which anti****ted the calculus, Huygens...
- Café Seven bridges of Königsberg Spectral theory Synthetic geometry Tautochrone curve Unifying theories in mathematics Waring's problem Warsaw School...