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)

A survey of Sylvester’s problem and its generalizations

P. Borwein, W. Moser

Aequationes Mathematicae,

1990

2 Excerpts

Solution to problem 4065

T. Gallai

American Mathematical Monthly,

1944

1 Excerpt

Similar Papers

Loading similar papers…

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}
}