Let P be a point of the rectangular hyperbola through the orthocenter H, the symmedian K and the De Longchamps point L, with asymptotes parallel to the asymptotes of the Jerabek hyperbola. Take A' such as PA' is parallel and congruent to the A-altitude, and analogously B' and C'. Then AA', BB', CC' concur at the intersection between the Jerabek hyperbola and the line PK.