Affine Geometry: Incidence with Parallelism (IP)

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 2 in Euclidean Geometry and its Subgeometries, 2015, pp 37-44 from Springer

Abstract: Abstract This brief chapter introduces the notion of parallelism, discusses the two forms of the parallel axiom, defines affine geometry, and proves five elementary theorems relating to intersecting planes and parallel lines.

Keywords: Affine Geometry; Parallel Axiom; Neutral Geometry; Repugnant Conclusion; Saccheri (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_2

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DOI: 10.1007/978-3-319-23775-6_2

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