Assume $\mathcal{F}$ such a family of axises-parallel rectangles, any two of them intersects by a horizontal or vertical line. Prove there exist a pair of line $(v, h)$ vertical and horizontal such that any $R\in\mathcal{F}$ intersects any of $(v,h)$.
2026-03-26 19:14:29.1774552469
axis parallel rectangles
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