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9877Re: [EMHL] The Brocard points of a quadrilateral (Geoff Millin)

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  • Alexey.A.Zaslavsky
    Jun 7, 2004
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      Dear colleagues!
      I have a next hypothesis. Let A_1...A_n is the cyclic polygon. Then
      1) The Brocard points exist iff the symmedians of triangles
      A_{i-1}A_iA_{i+1} from A_i concur in point L.
      2) Two Brocard points P, Q are in the circle with diameter OL and the angles
      POL and QOL are equal to brocard angle.
      If 1) is correct then I can prove 2)

      Sincerely Alexey
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