Category:Definitions/Isogonal Conjugates

This category contains definitions related to Isogonal Conjugates.
Related results can be found in Category:Isogonal Conjugates.

Let $X$ be a point in the plane containing a triangle $ABC$.

Let $A X_A$, $B X_B$ and $C X_C$ be the reflections of the lines $AX$, $BX$, and $CX$ about the angle bisectors at $A$, $B$, and $C$ respectively.

The isogonal conjugate of $X$ with respect to $\triangle ABC$ is the point $X^{-1}$ at which $A X_A$, $B X_B$ and $C X_C$ concur.