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Conic Porism?

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  • Sung Hyun Lim
    Dear everyone, Does anyone know a simple proof of the statement: ? Sung Hyun [Non-text portions of
    Message 1 of 3 , Jun 29, 2011
      Dear everyone,

      Does anyone know a simple proof of the statement: <Two triangles share a
      circumconic iff they share an inconic>?

      Sung Hyun


      [Non-text portions of this message have been removed]
    • Alexey Zaslavsky
      Dear Sung Hyun! Does anyone know a simple proof of the statement: ? This follows from Poncelet
      Message 2 of 3 , Jun 29, 2011
        Dear Sung Hyun!

        Does anyone know a simple proof of the statement: <Two triangles share a
        circumconic iff they share an inconic>?

        This follows from Poncelet theorem. Let triangles ABC and A'B'C' share a circumconic. Then the conic touching AB, BC, CA, A'B' and B'C' touche also A'C'.

        Sincerely Alexey



        [Non-text portions of this message have been removed]
      • Ricardo Barroso
        Amigos de Hyacinthos: Os deseo buen verano. He preparado un extra con un problema de un autor español del XIX, Zoel García de Galdeano, navarro, y un
        Message 3 of 3 , Jun 30, 2011
          Amigos de Hyacinthos:
          Os deseo buen verano.
          He preparado un extra con un problema de un autor español del XIX, Zoel García
          de Galdeano, navarro, y
          un problema de límites de Juan Bosco Romero.
          Los podeis ver en
          http://personal.us.es/rbarroso/trianguloscabri/

          Ricardo

          [Non-text portions of this message have been removed]
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