|Definition:|| for a given vector space, set of elements called points, for which an element of the vector space is associated to any ordered pair of points A and B with the following properties: |
- for any two points A and B, ,
- for any three points A, B and C, ,
- for a given point O and a given vector r, there is a unique point P such that
Note 1 to entry: A point space and the associated vector space have the same dimension. The point space derived from the three-dimensional Euclidean vector space is a model of the usual geometrical three-dimensional space.