A sylvester theorem for conic sections

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1988 Germany English Publisher:Springer Science and Business Media LLCJournal:Discrete & Computational Geometry, volume 3, pages 295-305 (issn: 0179-5376, eissn: 1432-0444,

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Authors: Wiseman, J.A.; Wilson, Paul R.;

doi: 10.1007/bf02187914

A sylvester theorem for conic sections

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Abstract

As a generalization of the Sylvester theorem for a set of n-points in the Euclidean or projective plane it is proved: if S is a finite set of points in the plane and no conic contains all points of S, then S determines a conic which contains exactly 5 points of S.

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Germany

Related Organizations

DigiZeitschriften
Germany
Rochester Institute of Technology
United States

Keywords

Sylvester theorem, 510.mathematics, conic, Euclidean geometries (general) and generalizations, Combinatorial structures in finite projective spaces, Article

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