Line

Suppose are two points in . Then the line passing through them is defined as follows:

Affine set

The set is called affine if for any from the line passing through them also lies in , i.e.

Examples:

  • The set of solutions

Related definitions

Affine combination

Let we have , then the point is called affine combination of if

Affine hull

The set of all affine combinations of points in set is called the affine hull of :

  • The set is the smallest affine set containing .