Alternative Axiom Systems

  • George E. Martin
Part of the Undergraduate Texts in Mathematics book series (UTM)


This chapter is a digression. We pause in the development of our axiom system to take a quick look at some other axiom systems for geometry. It is intended that this chapter be read rather quickly and not studied in detail at this time. Most imperative, the reader should understand that none of the postulates, definitions, notation, or theorems is to be assumed in the other chapters!


Distinct Point Euclidean Geometry Axiom System Collinear Point Euclidean Line 
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Copyright information

© Springer-Verlag New York, Inc. 1975

Authors and Affiliations

  • George E. Martin
    • 1
  1. 1.Department of Mathematics and StatisticsState University of New York at AlbanyAlbanyUSA

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