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sphere

Source: 32-th Vietnamese Mathematical Olympiad 1994

February 24, 2007
geometry3D geometryspheretetrahedronvectoranalytic geometrygeometry unsolved

Problem Statement

SS is a sphere center O.GO. G and G′G' are two perpendicular great circles on SS. Take A,B,CA, B, C on GG and DD on G′G' such that the altitudes of the tetrahedron ABCDABCD intersect at a point. Find the locus of the intersection.
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