Ten concurrent Euler lines - Nikolai Ivanov Beluhov

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    Ten concurrent Euler lines - Nikolai Ivanov Beluhov​

    Let F_1 and F_2 denote the Fermat-Toricelli points of a given triangle ABC. We prove that the Euler lines of the 10 triangles with vertices chosen from A, B, C, F_1, F_2 (three at a time) are concurrent at the centroid of triangle ABC.

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    LTTK CTV, 9/10/19
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