Michel Bataille,
Constructing a Triangle from Two Vertices and the Symmedian Point,
Forum Geometricorum, 18 (2018) 129--133.

Abstract. Given three noncollinear points A, B, K, we propose a simple straightedge-and-compass construction of C such that K is the symmedian point of triangle ABC. Conditions for the construction to be possible and the number of solutions are studied in details.

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