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Parallelepiped and a line

Source: Vietnam NMO 1989 Problem 6

February 1, 2009
geometry unsolvedgeometry

Problem Statement

Let be given a parallelepiped ABCD.A′B′C′D′ ABCD.A'B'C'D'. Show that if a line Δ \Delta intersects three of the lines AB′ AB', BC′ BC', CD′ CD', DA′ DA', then it intersects also the fourth line.
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