Instead of O, if we use H-orthocenter circle is valid.
Let H=X(4)-Orthocenter of ABC. A 1 B 1 C 1 cevian triangle of H. B1 A , C1 A are reflections of B1, C1 on A. L A , line through B1 A , C1...
Instead of O, if we use H-orthocenter circle is valid.
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