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  3. let o be the circumcircle of a triangle abc. let w

Let O be the circumcircle of a triangle ABC. Let w be the circle tangent...

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Let O be the circumcircle of a triangle ABC. Let w be the circle tangent to BC, CA, AB at points D, E, F, respectively, such that A and w are on different sides of BC. Prove that if the radiuses of the circumcircle of the triangle ABC and w are equal, then the line OD is perpendicular to the line EF.

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