Collineations of an Affine Plane (CAP)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads
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Edward John Specht: Indiana University South Bend
Harold Trainer Jones: Andrews University
Keith G. Calkins: Ferris State University
Donald H. Rhoads: Andrews University

Chapter Chapter 3 in Euclidean Geometry and its Subgeometries, 2015, pp 45-61 from Springer

Abstract: Abstract Collineations are bijections of a plane onto itself which map lines to lines; this chapter explores the elementary properties of collineations on an incidence plane on which the parallel axiom holds. Several types of collineations are studied, among them translations, dilations, and axial affinities.

Keywords: Collineations; Affine Plane; Affine Axis; Parallel Axiom; Axioms Hold (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-23775-6_3

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DOI: 10.1007/978-3-319-23775-6_3

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