tautochrone

(ˈtɔːtəˌkrəʊn)

a curve upon which a moving object will reach a certain point at the same time through gravity from whichever point it starts

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

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References in periodicals archive

It is notable that Abel was the first one to use fractional calculus for [alpha] = 1/2 and solved the famous tautochrone problem [20, 21].

[19] Wikipedia, Tautochrone curve - wikipedia, the free encyclopedia, 2017.

A Note on Caputo's Derivative Operator Interpretation in Economy

Abel was led to his equation by a problem of mechanics, the tautochrone problem [16].

Operational Muntz-Galerkin approximation for Abel-Hammerstein integral equations of the second kind

The first application of fractional derivatives was given by Abel who applied fractional calculus in the solution of an integral equation that arises in the formulation of the tautochrone problem.

Fractional order two-temperature dual-phase-lag thermoelasticity with variable thermal conductivity

We test the tautochrone property of a cycloidal pendulum.

A huygens pendulum

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