PL-OM 2008 Problem 5
Let be a parallelopiped. Let us assume that areas of all intersections of with planes containing centers of three edges of pairwisely not parallel and having no common points, are equal. Show that is a cuboid.
Dataset text AI-MO AoPS. Quoted with source.
Official text: Polish Mathematical Olympiad 2008 official paper, page 2.
Solutions
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