Euclidean space

generalization of Euclidean geometry to higher-dimensional vector spaces

Euclidean space is the space Euclidean geometry uses. In essence, it is described in Euclid's Elements. The Euclidean plane and three-dimensional space are part of Euclidean space. Euclidian space is sometimes called Cartesian space.[1] A few other spaces and mathematical objects that are similar were added later. Euclid based his work Elements on certain axioms. Euclidean space can be described using such axioms.


  1. "Euclidean Space". Retrieved 18 January 2015.

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