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11783RE: [EMHL] incenters & squares

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  • Paris Pamfilos
    Dec 2, 2005
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      Obviously the incenters Pa, Pb, etc. are on the bisectors of angles
      of the quadrangle ABCP and it seems that the condition is that the
      four bisectors pass through a common point.
      Best regards
      Paris Pamfilos

      -----Original Message-----
      From: Hyacinthos@yahoogroups.com [mailto:Hyacinthos@yahoogroups.com]On
      Behalf Of Bernard Gibert
      Sent: Thursday, December 01, 2005 6:02 PM
      To: Hyacinthos@yahoogroups.com
      Subject: [EMHL] incenters & squares

      Dear friends,

      let P be a point on the circumcircle of triangle ABC with incenter I.

      denote by Pa, Pb, Pc the incenters of triangles PBC, PCA, PAB.

      I, Pa, Pb, Pc are the vertices of a rectangle.

      Find P such that the rectangle becomes a square.

      Perspectivities ?...

      Best regards


      [Non-text portions of this message have been removed]

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