We can use the calculus of variations to solve a classic problem in the history of physics the branchistochrome.Consider a particle moving in a constant force field starting at rest from some point (x1,y1) to some lower point (x2,y2).Find the path that allows the particle to accomplish the transit in the least possible time.

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We can use the calculus of variations to solve a classic problem in the history of
physics the branchistochrome.Consider a particle moving in a constant force field starting
at rest from some point (x1,y1) to some lower point (x2,y2).Find the path that allows the
particle to accomplish the transit in the least possible time.

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