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Re: [EMHL] Perspector ?

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  • yiuatfauedu
    Dear Nikos and friends, If P=(x : y : z), Q is the isogonal conjugate of P and PaPbPc, QaQbQc are the pedal triangles of P, Q then the triangle A B C , whete
    Message 1 of 6 , Sep 20, 2012
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      Dear Nikos and friends,

      If P=(x : y : z), Q is the isogonal conjugate of P
      and PaPbPc, QaQbQc are the pedal triangles of P, Q
      then the triangle A'B'C', whete
      A' is the intersection of lines PQa, QPa and similarly for B', C',
      is perspective with ABC and the perspector is
      the isotomic conjugate of
      (x(bbzz + ccyy + SAyz) : . . .: . . .)
      In case of your problem the perspector is X1217.

      *** On the other hand, the pedals of A' on BC, B' on CA, and C' on AB form the cevian triangle of the isotomic conjugate of
      (x(bbzz + ccyy + 2SAyz) : . . .: . . .)
      In the case of P = O, this perspector is X264, the isotomic conjugate of O.

      Best regards
      Sincerely
      Paul
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