Definitions for euclidean space
Random House Webster's College Dictionary
ordinary two- or three-dimensional space.
Origin of Euclidean space:
a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
Ordinary two- or three-dimensional space, characterised by an infinite extent along each dimension and a constant distance between any pair of parallel lines.
Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined.
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