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locin in 3d, tetrahedron related

Source: 1957 Hungary - Kürschák Competition p1

October 10, 2022
geometry3D geometrytetrahedronLocus

Problem Statement

ABCABC is an acute-angled triangle. DD is a variable point in space such that all faces of the tetrahedron ABCDABCD are acute-angled. PP is the foot of the perpendicular from DD to the plane ABCABC. Find the locus of PP as DD varies.
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