A Generalized Archimedean Property

نویسندگان

  • Fred Van Vleck
  • Daniel Mauldin
  • Árpád Bényi
  • Pawel Szeptycki
چکیده

We introduce and discuss a condition generalizing one of the Archimedean properties characterizing parabolas. Archimedes was familiar with the following property of parabolas: If for any two points A, B on a parabola we denote by S the area of the region between the parabola and the secant AB, and by T the maximum of the area of the triangle ABC, where C is a point on the parabola between A and B, then

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تاریخ انتشار 2006