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Euclidean space facts for kids

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Euclidean space is the space Euclidean geometry uses. In essence, it is described in Euclid's Elements. The Euclidean plane (\mathbb{R}^2) and three-dimensional space (\mathbb{R}^3) are part of Euclidean space, which can be generalized to any dimension n (in which case one writes \mathbb{R}^n).

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.

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Euclidean space Facts for Kids. Kiddle Encyclopedia.