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Fagnano’s problem

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  • 13 Apr 2018
    David Eppstein

    Esther Szekeres on triangle inequalities

    Esther Klein (later Esther Szekeres) famously observed that five points in the plane with no three in line must contain the vertices of a convex quadrilateral. Similarly, nine points in the plane with no three in line must contain the vertices of a convex pentagon, and more generally for every n there exists a larger […]

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