# Euclidean space facts for kids

**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 ).

Euclidian 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

## Images for kids

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Euclidean space Facts for Kids. *Kiddle Encyclopedia.*