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Miquel Puzzle

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  • Antreas P. Hatzipolakis
    Let 1,2,3,4 be four lines forming the complete quadrilateral (1234). The Miquel point of (1234) is the common point of the circles (123), (234), (341), (412)
    Message 1 of 1 , May 31, 2002
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      Let 1,2,3,4 be four lines forming the
      complete quadrilateral (1234).

      The Miquel point of (1234) is the common point
      of the circles (123), (234), (341), (412)
      [and also the circle (O(123)O(234)O(341)O(412))
      ie the circle passing through the four O's of the
      triangles (123), (234), (341), (412)]

      Now, define the Miquel point of (1234)
      by using only LINES; not circles.

      Antreas
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