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Jerabek's Hyperbola

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


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.

© 1996-9 Eric W. Weisstein