The Jerabek hyperbola is the isogonal conjugate of the Euler line. Some cool properties:
[list]
[*]The hyperbola intersects the circumcircle at E', the antipode of the reflection point of the Euler line (E).
[*]Take the orthic triangle RST. The Euler lines of triangles ART, BRS, and CST are concurrent at the
center of the hyperbola, which is on the nine-point circle.
[/list]
