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...is a three-dimensional [[inner product space]]. For further details see [[Affine space#Euclidean space]] and [[space (mathematics)]]. In this approach a plane in an ''n''-dimensional affine space (''n'' ≥ 2) is defined as a (proper or improper) ''two-dimensional affi

...e more algebraically, via linear spaces and quadratic forms, namely, as an affine space whose difference space is a three-dimensional inner product space. ====[[Affine space|Affine]] and projective spaces====

...a [[Euclid|Euclidean]] plane (a 2-dimensional Euclidean point space, an [[affine space]] with [[distance]]). The coordinates are called after their originator Car

in 3-dimensional [[Affine space|Euclidean (affine) space]] which have a fixed point. Such transformations

...hich is equivalent to an angle and distance preserving transformation of [[affine space]]) can be described as a translation of the body followed by a rotation. By