Isogonal Line


The line L^' through a triangle polygon vertex obtained by reflecting an initial line L (also through a polygon vertex) about the angle bisector. If three lines from the polygon vertices of a triangle DeltaABC 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

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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.

Referenced on Wolfram|Alpha

Isogonal Line

Cite this as:

Weisstein, Eric W. "Isogonal Line." From MathWorld--A Wolfram Web Resource.

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