Geodesic
A Generalization of Pascal's Hexagon Theorem to Real Hilbert Spaces
Journal for geometry and graphics, Tome 24 (2020) no. 1, pp. 1-7.

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 46C05, 51A20
Mots-clés : Pascal's hexagon theorem, Hilbert space, linear variety, cone 
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     title = {A {Generalization} of {Pascal's} {Hexagon} {Theorem} to {Real} {Hilbert} {Spaces}},
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     publisher = {mathdoc},
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     year = {2020},
     url = {http://geodesic.mathdoc.fr/item/JGG_2020_24_1_JGG_2020_24_1_a0/}
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N. Anghel . A Generalization of Pascal's Hexagon Theorem to Real Hilbert Spaces. Journal for geometry and graphics, Tome 24 (2020) no. 1, pp. 1-7. http://geodesic.mathdoc.fr/item/JGG_2020_24_1_JGG_2020_24_1_a0/