MathDB

1

Part of 1957 Kurschak Competition

Problems(1)

locin in 3d, tetrahedron related

Source: 1957 Hungary - Kürschák Competition p1

10/10/2022
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.
geometry3D geometrytetrahedronLocus