Homogeneous Coordinates

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

Chapter 3 in Perspectives on Projective Geometry, 2011, pp 47-66 from Springer

Abstract: Abstract Let K be any field1. And let K3 be the vector space of dimension three over this field. We will prove that if we consider the one-dimensional subspaces of K3 as points and the two-dimensional subspaces as lines, then we obtain a projective plane by defining incidence as subspace containment.

Keywords: Equivalence Class; Projective Plane; Object Space; Projective Geometry; Euclidean Plane (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-3-642-17286-1_3

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