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isogonal conjugate

In geometry, the isogonal conjugate of a point $P$ with respect to a triangle $△ ABC$ is constructed by reflecting the lines $PA, PB, PC$ about the angle bisectors of $A, B, C$ respectively. These three reflected lines concur at the isogonal conjugate of $P$ . (This definition applies only to points not on a sideline of triangle $△ ABC$ .) This is a direct result of the trigonometric form of Ceva's theorem.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Isogonal_conjugate)

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