Establish if there exists a finite set
of points in space, not all situated in the same plane, so that for any straight line
which contains at least two points from M there exists another straight line
, parallel with
but distinct from
, which also contains at least two points from
.
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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 $M$.
Školjka