Generalization. Let P be a point. A1B1C1 circumcevian triangle of P. A2B2C2 circlecevian triangle of P. Xa,Xb,Xc same centers of BCA2, CAB2, ABC2. A1B1C1 and A2B2C2 are perspective. Perspector lies on circumcircle of ABC.
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...
Generalization. Let P be a point. A1B1C1 circumcevian triangle of P. A2B2C2 circlecevian triangle of P. Xa,Xb,Xc same centers of BCA2, CAB2, ABC2. A1B1C1 and A2B2C2 are perspective. Perspector lies on circumcircle of ABC.
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