Brachystochrone


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Bra`chys´to`chrone


n.1.(Math.) A curve, in which a body, starting from a given point, and descending solely by the force of gravity, will reach another given point in a shorter time than it could by any other path. This curve of quickest descent, as it is sometimes called, is, in a vacuum, the same as the cycloid.
References in periodicals archive ?
Sussmann H, Willems C (1997) 300 Years of Optimal Control: From the Brachystochrone to the Maximum Principle.
Willems, "300 years of optimal control: from the brachystochrone to the maximum principle," IEEE Control Systems Magazine, vol.