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Euclidean space - Wiktionary, the free dictionary

From Wiktionary, the free dictionary

Euclidean space (countable and uncountable, plural Euclidean spaces)

  1. Ordinary n-dimensional space, characterized by an infinite extent along each dimension and a constant distance between any pair of parallel lines.
  2. (mathematics) Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined.