Tautochrone 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.

Example:


Taxonomy
curve, tautochrone curve, particle, tautochrone problem, the distance, Laplace transform, cycloid, equation, proportional, acceleration of gravity, brachistochrone curve, differential equation, free encyclopedia, lowest point, pendulum, pendulum clock, string, dx.

Defination from the web:
tautochrone or isochrone curve is the curve for which the time taken by an object sliding without friction in uniform gravity to its lowest ... The tautochrone problem was studied more closely when it was realized that a pendulum, which follows a circular path, was not isochronous and ...