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Isogonal Line

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The line $L'$ through a Triangle Vertex obtained by reflecting an initial line $L$ (also through a Vertex) about the Angle Bisector. If three lines from the Vertices of a Triangle $\Delta ABC$ are Concurrent at $X=L_1L_2L_3$, then their isogonal lines are also Concurrent, and the point of concurrence $X'=L_1'L_2'L_3'$ is called the Isogonal Conjugate point.

See also Isogonal Conjugate


Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, pp. 153-157, 1929.

© 1996-9 Eric W. Weisstein