| NOUN | group | Euclidean space | a space in which Euclid's axioms and definitions apply |
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| Meaning | A space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional . | |
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| Broader | metric space | A set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality |
| Spanish | espacio euclídeo, espacio euclidiano | |
| Catalan | Espai euclidià | |
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