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cevians

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  • pneagoe
    Dear Hyacinthos, I proved the next problem: Let ABC be a triangle and AD, BE, CF three cevians. If M is the intersection point of the lines BE and CF, N is the
    Message 1 of 8 , Feb 28, 2007
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      Dear Hyacinthos,

      I proved the next problem:

      Let ABC be a triangle and AD, BE, CF three cevians. If
      M is the intersection point of the lines BE and CF,
      N is the intersection point of the lines CF and AD,
      P is the intersection point of the lines AD and BE
      then prove that (MF/ME)*(ND/NF)*(PE/PD)=
      =((MB/MC)^2)*((NC/NA)^2)*((PA/PB)^2).

      x^2=x*x

      Do you know this problem ?

      Best regards,
      Petrisor Neagoe
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