Let
![Ox, Oy, Oz](/media/m/b/9/0/b902d6186adc9230d1601c8147993cb9.png)
be three rays, and
![G](/media/m/f/e/b/feb7f8fc95cee3c3a479382202e06a86.png)
a point inside the trihedron
![Oxyz](/media/m/e/b/c/ebcd3fbbbbdef084abd4ec8fdf8644fe.png)
. Consider all planes passing through
![G](/media/m/f/e/b/feb7f8fc95cee3c3a479382202e06a86.png)
and cutting
![Ox, Oy, Oz](/media/m/b/9/0/b902d6186adc9230d1601c8147993cb9.png)
at points
![A,B,C](/media/m/6/0/1/6012c28979f41c54e9b40b9fc855aa34.png)
, respectively. How is the plane to be placed in order to yield a tetrahedron
![OABC](/media/m/f/7/1/f71ce1f64fa788eeecb964fb1dd5c930.png)
with minimal perimeter ?
%V0
Let $Ox, Oy, Oz$ be three rays, and $G$ a point inside the trihedron $Oxyz$. Consider all planes passing through $G$ and cutting $Ox, Oy, Oz$ at points $A,B,C$, respectively. How is the plane to be placed in order to yield a tetrahedron $OABC$ with minimal perimeter ?