Abstract
The axiomatic treatment of plane projective geometry has at its starting point three undefined terms: point, line and incidence. We are given one set 𝒫, which we call the set of points, and another set ℒ which we call the set of lines. Further, there is given a relation between elements from 𝒫 and elements from ℒ which is denoted by I, and referred to as incidence. If PIα holds for P ∈ 𝒫 and α ∈ ℒ, then we say that the point P is incident with the line α.
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© 2002 Springer-Verlag Berlin Heidelberg
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Holme, A. (2002). Axiomatic Projective Geometry. In: Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04720-0_8
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DOI: https://doi.org/10.1007/978-3-662-04720-0_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07546-9
Online ISBN: 978-3-662-04720-0
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