: Mathématiques: Fagnano's problem

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Fagnano's problem

In geometry, Fagnano's problem is an optimization problem that was first stated by Giovanni Fagnano in 1775 : For a given acute triangle determine the inscribed triangle of minimal perimeter. The solution is the orthic triangle, with vertices at the base points of the altitudes of the given triangle.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Fagnano%27s_problem)

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