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Preliminary Notions

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Geometry

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

Abstract

The study of geometry begins with two basic concepts. One is the notion of points, and the other is the notion of lines. These are then related to each other by a collection of axioms, or first principles. For example, when we discuss incidence geometry below, we shall assume as a first principle that if A and B are distinct points then there is a unique line that contains both A and B.

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© 1981 Springer-Verlag Inc.

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Millman, R.S., Parker, G.D. (1981). Preliminary Notions. In: Geometry. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0130-1_1

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  • DOI: https://doi.org/10.1007/978-1-4684-0130-1_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-0132-5

  • Online ISBN: 978-1-4684-0130-1

  • eBook Packages: Springer Book Archive

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