MathDB
locus wanted, edge tangent to sphere, regular terahedron ABCD

Source: 1989 Swedish Mathematical Competition p4

March 28, 2021
geometry3D geometrytetrahedronLocussphere

Problem Statement

Let ABCDABCD be a regular tetrahedron. Find the positions of point PP on the edge BDBD such that the edge CDCD is tangent to the sphere with diameter APAP.
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