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Given Δ ABC , construct equilateral triangles Δ BCD , Δ CAE , and Δ ABF...

Given Δ ABC , construct equilateral triangles Δ BCD , Δ CAE , and Δ ABF outside of Δ ABC . Prove that the circumcircles of Δ BCD , Δ CAE , and Δ ABF are concurrent (go through the same point).

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