r971

Let A'B'C' be the circumcevian triangle of the circumcenter O, and Ab, Ac, Bc, Ba, Ca, Cb the circumcenters of OA'B, OA'C, OB'C, OB'A, OC'A, OC'B. The lines AbAc, BcBa, CaCb bound a triangle XYZ perspective with ABC, and the circumcenter Q of XYZ belongs to the Euler line of ABC.


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