1995 OIM Problems/Problem 3
Problem
Let 
and 
be two orthogonal lines that are not in the same plane. Let 
be their common perpendicular, such that 
, and 
(*).
The sphere of diameter is considered. The points 
of the line , and 
of the line , are variables, with the condition that 
is tangent to the sphere at a point 
.
Find the locus of T.
Note (*): the plane containing 
and is perpendicular to .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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