Euclidean space

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, which can be generalized to any dimension n (in which case one writes ). 

Euclidean space is sometimes called Cartesian space. 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. 

 Related pages 

 Elliptic geometry 
 Hyperbolic geometry 

References

Other websites
 Euclidean Space and Metric Spaces

Category:Geometry