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Part of the book series: Problem Books in Mathematics ((PBM))

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Abstract

Hilbert [Hi2] reformulated Euclid’s axioms for plane (and solid) ge-ometry. Not unexpectedly, Hilbert’s contribution was decisive in the sub-sequent study of Euclidean geometry both in the schools and in research. His axioms are grouped as follows

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© 1990 Springer Science+Business Media New York

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Gelbaum, B.R., Olmsted, J.M.H. (1990). Geometry/Topology. In: Theorems and Counterexamples in Mathematics. Problem Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0993-5_3

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  • DOI: https://doi.org/10.1007/978-1-4612-0993-5_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6975-5

  • Online ISBN: 978-1-4612-0993-5

  • eBook Packages: Springer Book Archive

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