Abstract

Let F be a planar family of pairwise disjoint translates of a parallelogram. It is shown that if every four members of F are intersected by some straight line, then there is a straight line which intersects all but at most two members of F . If it is instead assumed that every two members of F are intersected by some line that is parallel to one of the edges of the parallelogram, then the same conclusion holds.

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