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Locus

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  • Antreas Hatzipolakis
    Let ABC be a triangle, IaIbIc the excentral triangle, P a point and A B C the cevian triangle of P. Denote A* = B Ic / C Ib, B* = C Ia / A Ic, C* = A Ib /
    Message 1 of 235 , Feb 1, 2013
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      Let ABC be a triangle, IaIbIc the excentral triangle, P a point
      and A'B'C' the cevian triangle of P.

      Denote A* = B'Ic /\ C'Ib, B* = C'Ia /\ A'Ic, C* = A'Ib /\ B'Ia

      Which is the locus of P such that

      1. ABC, A*B*C*

      2. A'B'C', A*B*C*

      are perspective?

      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 6:45 AM
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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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