Metric Axiomatics of Euclidean Space @forename = A. A. |
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Authors: | Ivanov |
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Institution: | (1) St.Petersburg Department of the Steklov Mathematical Institute, Russia |
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Abstract: | A version of axioms of Euclidean space based on a single initial notion, namely on the notion of distance, is considered. The notions of straight line and plane are introduced in terms of distance. Thus, Euclidean space is regarded as a metric space with metric satisfying the corresponding axioms. Bibliography: 3 titles. |
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Keywords: | |
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