Affine space

In mathematics, an affine space is an abstract structure that generalises the affine-geometric properties of Euclidean space. In an affine space, one can subtract points to get vectors, or add a vector to a point to get another point, but one cannot add points, since there is no origin. One-dimensional affine space is the affine line.

Related Topics:
Mathematics - Structure - Affine-geometric - Euclidean space

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Physical space (in pre-relativistic conceptions) is not only an affine space. It also has a metric structure and in particular a conformal structure.

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