Francisco Javier Garcia Capitan, Lemniscates and a locus related to a pair of median and symmedian,
Forum Geometricorum, 15 (2015) 123--125.
Abstract. We show that the lemniscate of Bernoulli arises from a locus problem related to the orthogonality of a pair of median and symmedian of a triangle with a given side, and study a generalization of the locus problem.
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