Loading ...
Sorry, an error occurred while loading the content.

22177Re: Circles, Circles, Circles....... (was: Envelopes)

Expand Messages
  • Antreas Hatzipolakis
    Apr 23, 2014

      Let ABC be a triangle and L1,L2,L3 three parallel lines through ABC.

      The reflections of L1,L2,L3 in BC,CA,AB bound a triangle A'B'C'.

      As the lines L1,L2,L3 move around A,B,C being parallel, the circumcenters,
      NPC centers, orthocenters etc (same points on the Euler lines) of the triangles A'B'C's
      move on fixed circles, whose the centers are collinear.


    • Show all 3 messages in this topic