Ten axioms for three dimensional Euclidean geometry

Gutiérrez-Novoa, Lino

doi:10.1090/S0002-9939-1968-0231265-9

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Ten axioms for three dimensional Euclidean geometry
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by Lino Gutiérrez-Novoa

Proc. Amer. Math. Soc. 19 (1968), 146-152

DOI: https://doi.org/10.1090/S0002-9939-1968-0231265-9

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References

H. S. M. Coxeter, Non-Euclidean geometry, Mathematical Expositions, No. 2, University of Toronto Press, Toronto, Ont., 1957. 3rd ed. MR 0087965
David Hilbert, The foundations of geometry, Reprint edition, Open Court Publishing Co., La Salle, Ill., 1959. Authorized translation by E. J. Townsend. MR 0116216
Lino Gutiérrez Novoa, On $n$-ordered sets and order completeness, Pacific J. Math. 15 (1965), 1337–1345. MR 188111, DOI 10.2140/pjm.1965.15.1337
C. E. Springer, Geometry and analysis of projective spaces, W. H. Freeman and Co., San Francisco, Calif.-London, 1964. MR 0173183