
Journal for Geometry and Graphics 24 (2020), No. 1, 001007 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. anghel@unt.edu 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 crosssection bases. Keywords: Pascal's hexagon theorem, Hilbert space, linear variety, cone. MSC: 46C05; 51A20. [ Fulltextpdf (332 KB)] 