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the sum of dihedral angles equals 2 pi (ILL 1982 - P50)

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May 16, 2011
geometry

Problem Statement

Let OO be the midpoint of the axis of a right circular cylinder. Let AA and BB be diametrically opposite points of one base, and CC a point of the other base circle that does not belong to the plane OABOAB. Prove that the sum of dihedral angles of the trihedral OABCOABC is equal to 2π2\pi.