Pasch Geometry (PSH)

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 5 in Euclidean Geometry and its Subgeometries, 2015, pp 79-138 from Springer

Abstract: Abstract The first part of this chapter uses the Plane Separation Axiom to show that a line in a plane has two disjoint sides, and to prove the basic properties of segments, rays, and lines that are needed for a coherent geometry. The remainder of the chapter is a study of the basic interactions between lines, angles, triangles, and quadrilaterals, comprising Pasch geometry.

Keywords: Coherent Geometry; Plane Separation; Betweenness Axiom; Reflex Angle; Exclosures (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_5

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DOI: 10.1007/978-3-319-23775-6_5

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