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Homogeneous Coordinates

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Perspectives on Projective Geometry
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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.

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Correspondence to Jürgen Richter-Gebert .

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© 2011 Springer-Verlag Berlin Heidelberg

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Richter-Gebert, J. (2011). Homogeneous Coordinates. In: Perspectives on Projective Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17286-1_3

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