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Putnam 1947 B6

Source: Putnam 1947

April 3, 2022
Putnam3D geometryorthogonal

Problem Statement

Let OX,OY,OZOX, OY, OZ be mutually orthogonal lines in space. Let CC be a fixed point on OZOZ and U,VU,V variable points on OX,OY,OX, OY, respectively. Find the locus of a point PP such that PU,PV,PCPU, PV, PC are mutually orthogonal.
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