Isogonal Conjugate

Given a triangle ABC. The cevian AA2 is said to be isogonal to cevian AA1 if these cevians form equal angles with the internal angle bisector of vertex A. Similarly, define isogonal cevians passing through vertex B and C. The Isogonal Conjugate of a point P is the point of concurrence of the three cevians isogonal to the respective cevians through point P.

Q - Isogonal Conjugate of P.
P - Isogonal Conjugate of Q.