Advertisement

Euclid’s Parallel Postulate

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

Keywords

Hyperbolic Geometry Perpendicular Bisector Cartesian Plane Exterior Angle Klein Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations