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Re: Euler Lines (O)

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  • garciacapitan
    ... The homothetic center is the infinite point (b^2-c^2:c^2-a^2:a^2-b^2) Francisco Javier.
    Message 1 of 7 , Oct 4, 2008
      > The triangles bounded by the lines
      > (Lab, Lbc, Lca) and (Lac, Lba, Lcb)
      > are homothetic.
      >
      > Homothetic center?
      >
      > APH

      The homothetic center is the infinite point

      (b^2-c^2:c^2-a^2:a^2-b^2)

      Francisco Javier.
    • xpolakis
      ... Let 1,2,3,4,5,..., 2n (n 2) be 2n lines no three passing through a point. Assume that each one line in the set is parallel to only one line in the set.
      Message 2 of 7 , Oct 4, 2008
        --- In Hyacinthos@yahoogroups.com, "xpolakis" <xpolakis@...> wrote:

        > Let 1,2,3,4,5,6 be six lines.
        >
        > Let 1 // 2 not // 3 // 4 not // 5 // 6 not // 1
        >
        > How many homethic triangles are there with no common vertex?

        Let 1,2,3,4,5,..., 2n (n > 2) be 2n lines no three passing through a
        point.

        Assume that each one line in the set is parallel to only one line
        in the set. ( n dyads of parallel lines)

        How many dyads of triangles are formed having no vertex in common?
        And how many homothetic dyads of triangles?

        APH
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