The Elementary Geometry of a Triangular World with Hexagonal Circles

نویسنده

  • Victor Pambuccian
چکیده

We provide a collinearity based elementary axiomatics of optimal quantifier complexity ∀∃∀∃ for the geometry inside a triangle and reprove that collinearity cannot be defined in terms of segment congruence, the metric being Hilbert’s projective metric. MSC 2000: 51F20, 51A30, 51A45, 51G05

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تاریخ انتشار 2008