MathDB
A line intersect all segments

Source: Iranian National Olympiad (3rd Round) 2004

January 9, 2009
Supportvectorgeometry proposedgeometry

Problem Statement

Δ1,…,Δn \Delta_1,\ldots,\Delta_n are n n concurrent segments (their lines concur) in the real plane. Prove that if for every three of them there is a line intersecting these three segments, then there is a line that intersects all of the segments.
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