Navneel Singhal, On the orthogonality of a median and a symmedian,
Forum Geometricorum, 17 (2017) 203--206.

Abstract. We give a synthetic proof of F. J. Garcia Capitan's theorem on the lemniscate as the locus of a vertex of a triangle, given the other two vertices, such that the corresponding median and symmedian are orthogonal.

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