: Matemáticas: brachistochrone curve

geometry > Euclidean geometry > plane curve > brachistochrone curve

mathematical analysis > functional analysis > calculus of variations > brachistochrone curve

brachistochrone curve

In physics and mathematics, a brachistochrone curve (from Ancient Greek βράχιστος χρόνος (brákhistos khrónos) 'shortest time'), or curve of fastest descent, is the one lying on the plane between a point A and a lower point B, where B is not directly below A, on which a bead slides frictionlessly under the influence of a uniform gravitational field to a given end point in the shortest time. The problem was posed by Johann Bernoulli in 1696.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Brachistochrone_curve)

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