Collineations Preserving Betweenness (COBE)

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 7 in Euclidean Geometry and its Subgeometries, 2015, pp 149-154 from Springer

Abstract: Abstract A belineation is a bijection of a plane that preserves betweenness. This chapter shows that every belineation on a Pasch plane is a collineation, and explores the interactions between belineations and segments, rays, lines, sides of a line, angles, and triangles.

Keywords: Collineation; Belineation; Triangle; Theorem NEUT; Neutral Geometry (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_7

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DOI: 10.1007/978-3-319-23775-6_7

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