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Journal for Geometry and Graphics 24 (2020), No. 1, 001--007
Copyright Heldermann Verlag 2020

A Generalization of Pascal's Hexagon Theorem to Real Hilbert Spaces

Nicolae Anghel
Department of Mathematics, University of North Texas, Denton, TX 76203, U.S.A.

We present a generalization of the classical Pascal Hexagon Theorem to real Hilbert spaces. The key ingredient is a Cone Lemma which allows a reformulation of the problem in terms of vertices of cones with spherical cross-section bases.

Keywords: Pascal's hexagon theorem, Hilbert space, linear variety, cone.

MSC: 46C05; 51A20.

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