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Extensions of Sylvester's Theorem
Published online by Cambridge University Press: 20 November 2018
Extract
Sylvester [7] proposed the following question in 1893. If a finite set of points in a plane is such that on the line determined by any two points of the set there is always a third point of the set, is the set collinear? Equivalently, given a finite planar set of non-collinear points, does there exist a line containing exactly two of the points?
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- Copyright © Canadian Mathematical Society 1966
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