Floor van Lamoen,  Friendship Among Triangle Centers.

Forum Geometricorum, 1 (2001) 1 -- 6.

Abstract:  If we erect on the sides of a scalene triangle three squares, then at the vertices of the triangle we find new triangles,  the flanks. We study pairs of triangle centers X and Y such that the triangle of X's in the three flanks is perspective with ABC at Y, and vice versa. These centers X and Y we call friends. Some examples of friendship among triangle centers are given.

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