A Sylvester theorem for conic sections
type: Item
instance of: scholarly article
title: A Sylvester theorem for conic sections
zbMATH Open document ID: 0643.51009
DOI: 10.1007/BF02187914
author: James A. Wiseman
author: Paul R. Wilson
published in: Discrete \& Computational Geometry
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/131052
review text: 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.
reviewed by: J. Hoschek
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 51M05
zbMATH DE Number: 4048516
zbMATH Keywords: Sylvester theorem
zbMATH Keywords: conic
MaRDI profile type: Publication
cites work: On the number of ordinary planes
cites work: On Sylvester's problem and Haar spaces
cites work: Q5850099
cites work: Q3273607
cites work: A Generalization of a Theorem of Sylvester on the Lines Determined by a Finite Point Set.
cites work: Q4143433
cites work: On the Number of Ordinary Lines Determined by n Points
cites work: The Lines and Planes Connecting the Points of a Finite Set
description: scientific article; zbMATH DE number 4048516