On the Number of Euclidean Ordinary Points for Lines in the Plane

Abstract

Given an arrangement of n not all coincident, not all parallel lines in the (projective or) Euclidean plane we have earlier shown that there must be at least (5n + 6)/39 Euclidean ordinary points. We improve this result to show there must be at least n/6 Euclidean ordinary points. 1 Sylvester’s problem in the Euclidean plane A classical theorem of Sylvester… (More)

Topics

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Cite this paper

@inproceedings{Lenchner2005OnTN, title={On the Number of Euclidean Ordinary Points for Lines in the Plane}, author={Jonathan Lenchner and Herv{\'e} Br{\"{o}nnimann}, year={2005} }