Euclidean Structures from a Projective Perspective

Jürgen Richter-Gebert ()
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Jürgen Richter-Gebert: TU München, Zentrum Mathematik (M10) LS Geometrie

Chapter 19 in Perspectives on Projective Geometry, 2011, pp 349-373 from Springer

Abstract: 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.

Keywords: Projective Geometry; Projective Perspective; Euclidean Structure; Angle Bisector; Projective Theorem (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-3-642-17286-1_19

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