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brachistochrone – curve of quickest descent.
A curve on which a bead slides frictionlessly, under the influence of gravity, to an end point in the shortest time.

tautochrone- the curve for which the time taken by an object sliding without friction in uniform gravity to its lowest point is independent of its starting point.

details to be added


Demonstration of the Brachistochrone Curve & the Tautochrone Curve.

vSauce The Brachistochrone


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