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Re: [EMHL] Feuerbach

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  • Alexey Zaslavsky
    Dear Randy and Barry! Yes this is well known. The synthetic proof is in our with Akopjan book Geometry of conics . Sincerely
    Message 1 of 6 , May 1, 2012
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      Dear Randy and Barry!
      Yes this is well known. The synthetic proof is in our with Akopjan book "Geometry of conics".

      Sincerely Alexey

      One generalization:

      Let P be any point on the rectangular hyperbola ABCHQ.
      Then the cevian circle of P goes through the center of the hyperbola (on the nine-point circle).

      Randy

      >________________________________
      > From: Barry Wolk <wolkbarry@...>
      >To: "Hyacinthos@yahoogroups.com" <Hyacinthos@yahoogroups.com>
      >Sent: Monday, April 30, 2012 5:08 PM
      >Subject: [EMHL] Feuerbach
      >
      >
      >
      >I have a strange result. Let P be any point on the conic through ABCHI.
      >Then the cevian circle of P goes through the Feuerbach point.
      >
      >Generalizations?
      >--
      >Barry Wolk
      >
      >
      >
      >

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