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Calculating with Points on Lines

In: Perspectives on Projective Geometry

Author

Listed:
  • Jürgen Richter-Gebert

    (TU München, Zentrum Mathematik (M10) LS Geometrie)

Abstract

In the previous section we have seen that cross-ratios form a universal link from projective geometry to the underlying coordinate field. In this chapter we want to elaborate more on this topic. We will see that one can recover the structure of the real numbers from the purely geometric setup of the real projective plane.

Suggested Citation

  • Jürgen Richter-Gebert, 2011. "Calculating with Points on Lines," Springer Books, in: Perspectives on Projective Geometry, chapter 5, pages 79-92, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-17286-1_5
    DOI: 10.1007/978-3-642-17286-1_5
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