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Locus

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  • Antreas
    Let ABC be a triangle and PaPbPc the pedal triangle of point P. Denote: A B C the triangle bounded by the radical axes:
    Message 1 of 235 , Mar 3, 2013
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      Let ABC be a triangle and PaPbPc the pedal triangle of point P.

      Denote:

      A'B'C' the triangle bounded by the radical axes:
      ((circle_with_diameter_OA),(circle_with_diameter_PPa)),
      ((circle_with_diameter_OB),(circle_with_diameter_PPb)),
      ((circle_with_diameter_OC),(circle_with_diameter_PPc)).

      Which is the locus of P such that ABC, A'B'C'
      are perspective?

      H is on the locus. Perspector?

      APH
    • Antreas Hatzipolakis
      Let ABC be a triangle and P a point Which is the locus of P such that PA + PB + PC = 0 (signed segments) ? APH PS see special case
      Message 235 of 235 , Apr 10
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        Let ABC be a triangle and P a point

        Which is the locus of  P such that PA + PB + PC = 0
        (signed segments) ?

        APH

        PS see special case

        https://www.facebook.com/photo.php?fbid=811391552270276&set=p.811391552270276&type=1&theater
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