Establish if there exists a finite set
![M](/media/m/f/7/f/f7f312cf6ba459a332de8db3b8f906c4.png)
of points in space, not all situated in the same plane, so that for any straight line
![d](/media/m/f/7/d/f7d3dcc684965febe6006946a72e0cd3.png)
which contains at least two points from M there exists another straight line
![d'](/media/m/0/7/3/07345dd8a1ac3b64c9da6f3ba088ccc6.png)
, parallel with
![d,](/media/m/3/e/b/3ebd07c78ffe77e91b41d749d540f3ed.png)
but distinct from
![d](/media/m/f/7/d/f7d3dcc684965febe6006946a72e0cd3.png)
, which also contains at least two points from
![M](/media/m/f/7/f/f7f312cf6ba459a332de8db3b8f906c4.png)
.
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Establish if there exists a finite set $M$ of points in space, not all situated in the same plane, so that for any straight line $d$ which contains at least two points from M there exists another straight line $d'$, parallel with $d,$ but distinct from $d$, which also contains at least two points from $M$.