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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.

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.

- 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...

- 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...

- 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...

- 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...

- Catenary Clélies Cochleoid Cycloid Horopter Isochrone Isochrone of Huygens (Tautochrone) Isochrone of Leibniz[1] Isochrone of Varignon[2] Lamé curve Pursuit...

- work of Christiaan Huygens, almost one hundred years later, that the tautochrone nature of a swinging pendulum was used to create an accurate timepiece...

- Café Seven bridges of Königsberg Spectral theory Synthetic geometry Tautochrone curve Unifying theories in mathematics Waring's problem Warsaw School...

- 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...

- problem of finding the tautochrone curve, which in turn helped him construct an isochronous pendulum. This was because the tautochrone curve is a cycloid...

- Solutions to variational problems, such as the brachistochrone and tautochrone questions, introduced properties of curves in new ways (in this case...

- 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...

- 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...

- 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...

- Catenary Clélies Cochleoid Cycloid Horopter Isochrone Isochrone of Huygens (Tautochrone) Isochrone of Leibniz[1] Isochrone of Varignon[2] Lamé curve Pursuit...

- work of Christiaan Huygens, almost one hundred years later, that the tautochrone nature of a swinging pendulum was used to create an accurate timepiece...

- Café Seven bridges of Königsberg Spectral theory Synthetic geometry Tautochrone curve Unifying theories in mathematics Waring's problem Warsaw School...

- 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...

- problem of finding the tautochrone curve, which in turn helped him construct an isochronous pendulum. This was because the tautochrone curve is a cycloid...

- Solutions to variational problems, such as the brachistochrone and tautochrone questions, introduced properties of curves in new ways (in this case...

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