IMO 1972 LL ROM36

A finite number of parallel segments in the plane are given with

imolonglistmathematicsolympiad

IMO 1972 LL ROM36

Origin: ROM

Problem

A finite number of parallel segments in the plane are given with the property that for any three of the segments there is a line intersecting each of them. Prove that there exists a line that intersects all the given segments.