Euclidean space

From Simple English Wikipedia, the free encyclopedia

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 ).[1]

Euclidian space is sometimes called Cartesian space.[2] 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.[3]

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References[change | change source]

  1. "Comprehensive List of Algebra Symbols". Math Vault. 2020-03-25. Retrieved 2020-10-12.
  2. Weisstein, Eric W. "Euclidean Space". Retrieved 2020-10-12.
  3. "Euclidean space | geometry". Encyclopedia Britannica. Retrieved 2020-10-12.

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