On sets of n points in general position that determine lines that can be pierced by n points

08/18/2019

∙

by   Chaya Keller, et al.

∙

0

∙

share

Let P be a set of n points in general position in the plane. Let R be a set of n points disjoint from P such that for every x,y ∈ P the line through x and y contains a point in R outside of the segment delimited by x and y. We show that P ∪ R must be contained in a cubic curve.