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The lines Isogonal to the Medians of a Triangle are called the triangle's symmedian lines. The symmedian lines are concurrent in a point called the Lemoine Point.
See also Isogonal Conjugate, Lemoine Point, Median (Triangle)
References
Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA:
Houghton Mifflin, pp. 213-218, 1929.