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theorem about 6 points on a circle

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  • Sergei Markelov
    Let ABC be the triangle, and w to be circle that intersects all its sides (AB in C1 and C2, AC in B1 and B2, BC in A1 and A2). Let A3 be the point of
    Message 1 of 1 , Oct 1, 2002
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      Let ABC be the triangle, and w to be circle that intersects all
      its sides (AB in C1 and C2, AC in B1 and B2, BC in A1 and A2). Let A3 be
      the point of intersection of tangent lines to w from A1 and A2, the same
      definition for B3 and C3. Prove that lines A-A3, B-B3 and C-C3 are
      concurent.

      Source: Alexey Zaslavsky.

      Thank you.
      Sergei Markelov
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