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Euclidean Structures from a Projective Perspective

In: Perspectives on Projective Geometry

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  • Jürgen Richter-Gebert

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

Abstract

In the previous chapter we laid the foundations for representing Euclidean concepts (transformations, angles, distances, orthogonality, cocircularity…) in a projective framework. In this chapter we will apply these concepts. We will give a loose and by no means complete collection of interesting constructions/ calculations/theorems in Euclidean geometry that can be nicely carried out in our projective framework.

Suggested Citation

  • Jürgen Richter-Gebert, 2011. "Euclidean Structures from a Projective Perspective," Springer Books, in: Perspectives on Projective Geometry, chapter 19, pages 349-373, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-17286-1_19
    DOI: 10.1007/978-3-642-17286-1_19
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