Symmedian
For any point P inside a triangle, there is a corresponding point that can be found called its isogonal conjugate. To locate the isogonal conjugate, lines are drawn connecting angles to the selected point. These lines are then reflected across the angle bisectors. The reflected lines will cross at the isogonal conjugate of the original point.
To find symmedians of a triangle, medians from each angle are reflected across the angle bisectors. The symmedians cross at the symmedian point, which is the isogonal conjugate of the centroid (the point where the medians cross).