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12550Re: [EMHL] Looking for an explanation

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  • jpehrmfr
    Apr 1, 2006
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      Dear Bernard
      > THEY DO, dear Jean-Pierre !
      Of course, you're right - in fact I was thinking to your points UVW -
      Looking at your nice page about Darboux, I have an obvious explanation
      of the nice property of the pedal triangle of U,V,W.
      Suppose that A'B'C' is the pedal triangle of M; then BB' and CC' are
      parallel iff M lies on your hyperbola Ha.
      As U,V,W are the common points of Ha,Hb,Hc, for these points, AA',
      BB', CC' are parallel.
      Thus, there is nothing new in what I said.
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