Affine Geometry

H. S. M. Coxeter and George Beck
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H. S. M. Coxeter: University of Toronto, Department of Mathematics

Chapter Chapter 8 in The Real Projective Plane, 1993, pp 105-125 from Springer

Abstract: Abstract Projective geometry, in marked contrast to ordinary Euclidean geometry, is not at all concerned with length or distance; it contains no criterion for telling whether two segments are ‘congruent’. Affine geometry, however, takes us half-way back to the concept of distance: we are able to measure lengths along one line or on parallel lines and even to measure area, but we still cannot compare segments in different directions.

Keywords: Projective Geometry; Invariant Point; Ordinary Point; Harmonic Conjugate; Real Projective Plane (search for similar items in EconPapers)
Date: 1993
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DOI: 10.1007/978-1-4612-2734-2_8

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