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 ABC be a triangle with P, Q are two points on Euler line of ABC. A',B',C' are inverse images of A,B,C through circle diame...
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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