Let I be the incenter, A'B'C' the intouch triangle. Let r be a line through I and ra, rb, rc the reflections of the bisectorsAI, BI, CI on r. The perpendiculars to ra, rb, rc tfrom A', B', C' concur at a point in the incircle. When the line r is OI (O the circumcenter), the concurrence point is the Tixier point of A'B'C'.