Let A'B'C' be the incentric triangle. Let Ab, Ac be the orthogonal projections of A on the bisectors BB', CC'. Let Ha be the orthocenter of AAbAc. Define analogously Hb, Hc. Let A* be the intersection between AA', AbAc and define analogously B*, C*. The lines A*Ha, B*Hb, C*Hc are concurrent.