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Two 'isotomic' loci.

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  • Floor van Lamoen
    Dear all, Let the (Cevian) traces A B C of a point P divide BC in segments with ... and |C B|=v2. We well know that t1*u1*v1 = t2*u2*v2. But which is the
    Message 1 of 1 , Oct 1, 2001
      Dear all,

      Let the (Cevian) traces A'B'C' of a point P divide BC in segments with
      |BA'|=t1 and |A'C|=t2. In the same way |CB'|=u1, |B'A|=u2 and |AC'|=v1
      and |C'B|=v2.

      We well know that t1*u1*v1 = t2*u2*v2.

      But which is the locus with t1+u1+v1 = t2+u2+v2 ??

      And which is the locus with t1^2 + u1^2 + v1^2 = t2^2 + u2^2 + v2^2 ??

      Kind regards,
      Sincerely,
      Floor.
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