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Abstract Geometry proof, over

  1. Sep 30, 2008 #1
    1. The problem statement, all variables and given/known data

    Given a triangle ABC and a circle intersecting each side of ABC at two points( intersects AB at E and E', BC at D and D', and AC at F and F') Prove that if the segments AD, BF, and CE are concurrent, then the segments AD', BF', and CE' are concurrent. I am just looking for little hints.

    2. Relevant equations
    (AF/FC)*(CD/DB)*(BE/EA)=1
    This is in Euclidean.

    3. The attempt at a solution
    I have drawn the picture, but I am drawing a blank at how to start it, other than I know (AF/FC)*(CD/DB)*(BE/EA)=1
     
  2. jcsd
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