Isogonal Conjugate of Line Through the Circumcenter
- Author:
- Steve Phelps
Take any line through the circumcenter, intersecting the circumcircle in antipodal points D and D'.
The locus of the isogonal conjugates of this line is a rectangular hyperbola through the vertices
and orthocenter. The asymptotes are the Simson lines of the two antipodal points.
Please download this sketch to see the construction.