r1963

Let P, Q be two isogonal points; QaQbQc the pedal triangle of Q. Let ra, rb, rc be the reflections of PQ on the cevians of P. The perpendiculars to ra, rb, rc from Qa, Qb, Qc concur at a point in the pedal circle of P, Q.When P is the orthocenter and Q the circumcenter, the concurrence point is the Tixier point of the medial triangle.


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