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18094Re: Problem from Vietnam Team Selection Tests 2009

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  • xpolakis
    Aug 2, 2009
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      > Another problem with the "Vietnameze" triangle.

      Let ABC be a triangle, P a point, A'B'C' the cevian triangle
      of P and A",B",C" the second intersections of the circumcircle
      of ABC with the circumcircles of AB'C', BC'A', CA'B', resp.


      A* := BB" /\ CC"

      B* := CC" /\ AA"

      C* := AA" /\ BB"

      Which is the locus of P such that
      ABC, A*B*C* are perspective?

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