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Re: Ceviac triangles and D+

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  • jean-pierre.ehrmann@wanadoo.fr
    Dear Floor and other Hyacinthists, ... the ... of ... I propose - the circumcircle - the Darboux cubic (as usual) - a quartic which seems to be the isogonal
    Message 1 of 2 , Sep 3, 2001
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      Dear Floor and other Hyacinthists,
      > Another variation:
      >
      > Let P be a point, A'B'C' its (Cevian) traces. Let Ab and Ac be the
      > orthogonal projections from A' to sides b and c respectively.
      > Similarly Ba, Bc, Ca, Cb. We might call A'AbAc, B'BaBc and C'CaCb
      the
      > Civiac triangles of P.
      >
      > Lines AbAc, BaBc and CaCb bound a triangle A*B*C*. Find the locus
      of
      > P for which A*B*C* is perspective to ABC.

      I propose
      - the circumcircle
      - the Darboux cubic (as usual)
      - a quartic which seems to be the isogonal conjugate of an unknown
      ellipse with center O

      Friendly. Jean-Pierre
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