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22176Re: Circles, Circles, Circles....... (was: Envelopes)

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  • Antreas Hatzipolakis
    Apr 23, 2014
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      IN GENERAL:

      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 and all same points on the Euler lines
      move on fixed circles, whose the centers are collinear.

      Antreas




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