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Re: A strange point on incircle

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  • Paul Yiu
    Dear Nik, [ND]: The point with barycentrics [(s-a)*(|a-b|-|a-c|)² : (s-b)*(|b-c|-|b-a|)² : (s-c)*(|c-a|-|c-b|)²] and search number 7.11040574869 I think is
    Message 1 of 2 , Apr 1 8:26 AM
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      Dear Nik,

      [ND]: The point with barycentrics
      [(s-a)*(|a-b|-|a-c|)² : (s-b)*(|b-c|-|b-a|)² :
      (s-c)*(|c-a|-|c-b|)²]
      and search number 7.11040574869
      I think is not in ETC and
      as Paul mentioned lies on the incircle.

      *** I think if a < b < c, this is the point

      ((s-a)(b-c)^2 : (s-b)(c+a-2b)^2 : (s-c)(a-b)^2)

      which does not lie on the incircle.

      Best regards
      Sincerely
      Paul


      Could be characterized as X(11) and X(1317)
      a 3-degree polynomial center ?
      I think we can find several such points.

      Best regards
      Nikolaos Dergiades
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