Let Ha, Hb and Hc be the vertices of the orthic triangle; Ia, Ib and Ic the vertices of the incentric triangle; CA, CB and CC the vertices of the intouch triangle. The lines HbHc, IbIc and CbCc concur at A'. Analogously we define B' and C'. The points A', B' and C' are the Pelletier points of the triangle ABC and are the vertices of the Pelletier triangle.