Euclidean Geometry Basics (EUC)

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 11 in Euclidean Geometry and its Subgeometries, 2015, pp 251-264 from Springer

Abstract: Abstract This chapter combines the axioms of neutral geometry (incidence, betweenness, plane separation, and reflection) with the strong form of the Parallel Axiom to arrive at Euclidean geometry. It explores many well-known elementary results from plane geometry involving parallel lines, perpendicularity, adjacent and complementary angles, parallelograms and rectangles.

Keywords: Basic Euclidean Geometry (EUC); Neutral Geometry; Parallel Axiom; Complementary Angle; Critical Rectangles (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_11

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DOI: 10.1007/978-3-319-23775-6_11

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