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18096Re: [EMHL] Re: Problem from Vietnam Team Selection Tests 2009

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  • Quang Tuan Bui
    Aug 2, 2009
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      Dear Antreas,
      They are always perspective at a point with barycentrics:

      a^2 /(q + r) : :

      Best regards,
      Bui Quang Tuan

      --- On Mon, 8/3/09, xpolakis <anopolis72@...> wrote:

      > From: xpolakis <anopolis72@...>
      > Subject: [EMHL] Re: Problem from Vietnam Team Selection Tests 2009
      > To: Hyacinthos@yahoogroups.com
      > Date: Monday, August 3, 2009, 12:47 AM
      > > 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.
      >
      > Denote:
      >
      > A* := BB" /\ CC"
      >
      > B* := CC" /\ AA"
      >
      > C* := AA" /\ BB"
      >
      > Which is the locus of P such that
      > ABC, A*B*C* are perspective?
      >
      > APH 
      >
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