Let A'B'C' be the tangential triangle. Let ra, rb, rc be the perpendiculars from A, B, C to the cevians of the circumcenter O. Let Ab, Ac be the orthogonal projections of B', C'  on ra, and Na the ninecenter of lAAbAc. Define analogously Bc, Ba, Ca, Cb, Nb, Nc. The triangles ABC, NaNbNc are homothetic and have the same Euler line.