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.
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 or isochrone curve (from Gr**** prefixes tauto- meaning same or iso- equal, and chrono time) is the curve for which the time taken by an...
- along the curve does not depend on the object's starting position (the tautochrone curve). It was in the left hand try-pot of the Pequod, with the soapstone...
- Bernoulli in 1696. 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...
- calculus of variations include: Solutions to the brachistochrone problem, tautochrone problem, catenary problem, and Newton's minimal resistance problem; Finding...
- Café Seven bridges of Königsberg Spectral theory Synthetic geometry Tautochrone curve Unifying theories in mathematics Waring's problem Warsaw School...
- work of Christiaan Huygens, almost one hundred years later, that the tautochrone nature of a swinging pendulum was used to create an accurate timepiece...
- Catenary Clélies Cochleoid Cycloid Horopter Isochrone Isochrone of Huygens (Tautochrone) Isochrone of Leibniz[1] Isochrone of Varignon[2] Lamé curve Pursuit...
- theory Noether's theorem Path integral formulation Plateau's problem Prime geodesic Principle of least action Soap bubble Soap film Tautochrone curve...
- Chandra; Joag, Pramod Sharadchandra (2001), "7.5 Barchistochrones and tautochrones inside a gravitating homogeneous sphere", Cl****ical Mechanics, Tata McGraw-Hill...
