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Sylvester–Gallai theorem

Known as: Sylvester theorem, Melchior's inequality, Sylvester-Gallai problem 
The Sylvester–Gallai theorem asserts that given a finite number of points in the Euclidean plane, either 1. * all the points are collinear; or 2… 
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Related topics

Related topics

8 relations
AlgorithmDiscrete & Computational GeometryEuler characteristicFano plane

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2014
2014
On the Sylvester-Gallai theorem for conics
In the present note we give a new proof of a result due to Wiseman and Wilson which establishes an analogue of the Sylvester… 
2011
2011
Stories in pictures from the world of birds: the courageous magpie
The article discusses the 17th-century painting “An assembly of birds (The courageous magpie),” attributed by Frans Snijders… 
2008
2008
Elementary versions of the sylvester-gallai theorem
A Sylvester-Gallai (SG) configuration is a set S of n points such that the line through any two points of S contains a third… 
2007
2007
As tribos Dalechampieae Müll. Arg. e Manihoteae Melchior (Euphorbiaceae) no Distrito Federal, Brasil
The Federal District is located in Central Brazil, within the geographical coordinates 1530-1603S and 4719-4812W, in an area of 5… 
2004
2004
A Sylvester-Gallai Theorem for Quaternionic Projective Space
A Sylvester-Gallai (SG) configuration is a set of points S such that the line through any two points in S contains a third point… 
2004
2004
A quantum Sylvester theorem and skew representations of twisted Yangians
Analogs of the classical Sylvester theorem have been known for matrices with entries in noncommutative algebras including the… 
2001
2001
A Methodologically Pure Proof of a Convex Geometry Problem
We prove, using the minimalist axiom system for convex geometry proposed by W. A. Coppel, that, given n red and n blue points… 
2001
2001
Measuring income related inequality in health within general practices
The partial concentration index is a measure of income related inequality purged of the effects of variables which are correlated… 
1992
1992
On a Generalization of the Gailai-Sylvester Theorem*
It is shown that if S c R d, aft S = aft R d, and every hyperplane spanned by (a subset of) S misses fewer than k points of S(k… 
Review
1979
Review
1979
Book reviews, lectures, and marginal notes; three previously unknown sixteenth century contributors to pharmacy, medicine and botany: Ioannes Manardus, Franciscus Frigimelica, and Melchior…
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