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Euclid’s Parallel Postulate

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Part of the book series: Undergraduate Texts in Mathematics ((UTM))

Abstract

We know several statements equivalent to Euclid’s Parallel Postulate (Chapter 21), and we know several statements equivalent to Saccheri’s Hypothesis of the Right Angle (Chapter 22). We shall now confirm your expectation that the two propositions are themselves equivalent.

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© 1975 Springer-Verlag New York, Inc.

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Martin, G.E. (1975). Euclid’s Parallel Postulate. In: The Foundations of Geometry and the Non-Euclidean Plane. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5725-7_23

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  • DOI: https://doi.org/10.1007/978-1-4612-5725-7_23

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-5727-1

  • Online ISBN: 978-1-4612-5725-7

  • eBook Packages: Springer Book Archive

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