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Problem by Antreas Hatzipolakis Solution by Francisco Javier García Capitán ETC LISTING OF Q X(72803)
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X(5459) Let ABC be a triangle, let A', B', C' be the midpoints of BC, CA, AB. Let L_a be the perpendicular through A' ...
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Theorem 1. Let ABC be an equilateral triangle and P a point. The Euler lines of the triangles PBC,PCA,PAB are concurent.Denote the point ...