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A 1 m by 1 m square box in the xy-plane |
2001-12-15 |
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From Murray:
Inside a 1 m by 1 m square box in the xy-plane, there are finitely many line segments, whose lengths sum to exactly 10 m. Show that there exists a straight line in the plane which crosses at least six of these line segments. (Hint: first, show that there exists a straight line in the plane which crosses at least five of these line segments.)
Answered by Claude Tardif. |
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