Abstract
At the beginning of Euclid’s monumental thirteen volume text The Elements [18], there is a list of 23 Definitions, five Postulates, and five Common Notions. This book focuses on just one of these, the fifth postulate, commonly known as the “Parallel Postulate.” Before we can do that, though, it will be necessary to get some idea of what these definitions, etc., are all about. If you are familiar with Euclid’s axioms you may be able to skip this section, which is a brief (and perhaps a bit technical) review.
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© 1998 Springer Science+Business Media New York
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Singer, D.A. (1998). Euclid and Non-Euclid. In: Geometry: Plane and Fancy. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0607-1_1
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DOI: https://doi.org/10.1007/978-1-4612-0607-1_1
Publisher Name: Springer, New York, NY
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