general position

In projective geometry, a set of points is said to be in general position iff any $d+2$ of them do not lie on a $d$-dimensional plane, i.e., 4 points are in general position iff no three of them are on the same line.

Dually a set of $d$-dimensional planes is said to be in general position iff no $d+2$ of them meet in the same point, i.e., 4 lines are in general position iff no three of them meet in the same point.