186

Part of 1973 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 186 All Soviet Union MO 1973 half area of a convex polygon

Source:

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-gon with pairwise (mutually) non-parallel sides and a point inside it. Prove that there are not more than

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straight lines coming through that point and halving the area of the

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geometryconvex polygonareas