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22472NPCs - Perspective ?

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  • Antreas Hatzipolakis
    Jun 27 3:35 PM

      Let ABC be a triangle and A'B'C' the orthic triangle.

      Denote:

      Ab, Ac = the orthogonal projections of A' on AC,AB, resp.
      A2, A3 = the reflections of A in Ab, Ac, resp.

      Na = the NPC center of AA2A3

      Similarly Nb,Nc

       I think that the triangles ABC, NaNbNc are perspective.

      PS: Is the radical center of (Na),(Nb), (Nc) an interesting point?

      APH