Advertisement

General Algebra of Analysis

  • Karl Menger
Chapter
  • 68 Downloads

Abstract

The classical presentation of projective geometry starts with a class of undefined entities, called points. Lines are introduced as undefined sets of points satisfying some basic postulates. Planes are defined as sets of points with certain properties. With the transition to each higher dimension new concepts must be introduced. The fundamental operations of projective geometry, that is, joining and intersecting, are set-theoretically defined. The algebraic properties of these operations are immediate consequences of these definitions on which the classical theory does not elaborate.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Wien 2003

Authors and Affiliations

  • Karl Menger

There are no affiliations available

Personalised recommendations