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Minimal foundations of geometry

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Abstract

The problem whose solution will be exhibited here consists in providing the Euclidean geometry with an axiomatics which is simple, concise, and contiguous to practice to the utmost. This article adheres to [1–3].

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References

  1. D. Hilbert, Foundations of Geometry [Russian translation], Gostekhizdat, Moscow (1948).

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  2. A. D. Alexandrov, “On foundations of geometry,” Sibirsk. Mat. Zh.,28, No. 4, 9–28 (1987).

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  3. A. D. Alexandrov, Foundations of Geometry [in Russian], Nauka, Moscow (1987).

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  4. M. Pieri, Della Geometria Elementare Come Sistema Ipotetico Deduttivo (1899).

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Authors and Affiliations

  1. St. Petersburg

    A. D. Alexandrov

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  1. A. D. Alexandrov
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Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 35, No. 6, pp. 1195–1209, November–December, 1994.

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Alexandrov, A.D. Minimal foundations of geometry. Sib Math J 35, 1057–1069 (1994). https://doi.org/10.1007/BF02104706

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  • DOI: https://doi.org/10.1007/BF02104706

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