viernes, 29 de agosto de 2014

Viernes 29 Agosto

Let O be the circumcenter of acutangle triangle ABC and let A_1 be some point in the smallest arc BC of the circumcircle of ABC. Let A_2 and A_3 points on sides AB and AC, respectively, such that \angle BA_1A_2 = \angle OAC and \angle CA_1A_3 = \angle OAB

Prove that the line A_2A_3 passes through the orthocenter of ABC.

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