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10979RE: [EMHL] circumcevian reflections

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  • Floor en Lyanne van Lamoen
    Jan 6, 2005
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      Dear Bernard,

      > > [FvL] The locus of the perspector for P on the Jerabek hyperbola is a
      > > quartic, the
      > > isogonal conjugate of the conic
      > >
      > > SUM b^4c^4SA(b^2-c^2)^4x^2 + a^6b^2c^2(c^2-a^2)^2(a^2-b^2)^2yz = 0
      > > cyclic

      [BG]
      > it seems that your conic decomposes into two secant lines at X110,
      > passing through X112 and X351.
      >
      > please do check this

      This is caused by a typo. The conic should be

      SUM b^4c^4SA(b^2-c^2)^4x^2 - a^6b^2c^2(c^2-a^2)^2(a^2-b^2)^2yz = 0
      cyclic

      So with - in stead of +. My apologies.

      Kind regards,
      Floor.
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