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The Isogonal Conjugate of the Euler Line. It passes through the vertices of a Triangle, the Orthocenter, Circumcenter, the Lemoine Point, and the Isogonal Conjugate points of the Nine-Point Center and de Longchamps Point.
See also Circumcenter, de Longchamps Point, Euler Line, Isogonal Conjugate, Lemoine Point, Nine-Point Center, Orthocenter
References
Casey, J.  A Treatise on the Analytical Geometry of the Point, Line, Circle, and Conic Sections, Containing
  an Account of Its Most Recent Extensions with Numerous Examples, 2nd rev. enl. ed.  Dublin: Hodges, Figgis, & Co., 1893.
 
Pinkernell, G. M.  ``Cubic Curves in the Triangle Plane.''  J. Geom. 55, 141-161, 1996.
 
Vandeghen, A.  ``Some Remarks on the Isogonal and Cevian Transforms.  Alignments of Remarkable Points of a Triangle.''
  Amer. Math. Monthly 72, 1091-1094, 1965.