r2008

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


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