Alexei Myakishev, Some Properties of the Lemoine Point,

Forum Geometricorum, 1 (2001) 91 -- 97.

Abstract:   The Lemoine point, K, of ABC has special properties involving centroids of pedal triangles. These properties motivate a definition of Lemoine field, F, and a coordinatization of the plane of triangle ABC using perpendicular axes that pass through K.  These principal axes are symmetrically related to two other lines:  one passing through the isodynamic centers, and the other, the isogonic centers.

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