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22178Fwd: [EGML] Re: Circles, Circles, Circles....... (was: Envelopes) [1 Attachment]

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  • Antreas Hatzipolakis
    Apr 23, 2014


      ---------- Forwarded message ----------
      From: Angel Montesdeoca
      Date: Wed, Apr 23, 2014 at 11:07 PM
      Subject: Re: [EGML] Re: Circles, Circles, Circles....... (was: Envelopes) [1 Attachment]
      To: Anopolis@yahoogroups.com


       
      [Attachment(s) from amontes included below]

      [Antreas P. Hatzipolakis]:

      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.

      *** View image in:
      http://amontes.webs.ull.es/otrashtm/HechosGeometricos.htm#HG220414

      Angel M.

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