Euclidean Geometry and its Subgeometries

Edward John Specht, Harold Trainer Jones, Keith G. Calkins () and Donald H. Rhoads ()
Additional contact information
Edward John Specht: Indiana University South Bend
Harold Trainer Jones: Andrews University
Keith G. Calkins: Andrews University
Donald H. Rhoads: Andrews University

in Springer Books from Springer

Date: 2015
Edition: 1st ed. 2015
ISBN: 978-3-319-23775-6
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Chapters in this book:

Ch Chapter 1 Preliminaries and Incidence Geometry (I)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 10 Rotations About a Point of a Neutral Plane (ROT)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 11 Euclidean Geometry Basics (EUC)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 12 Isometries of a Euclidean Plane (ISM)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 13 Dilations of a Euclidean Plane (DLN)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 14 Every Line in a Euclidean Plane Is an Ordered Field (OF)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 15 Similarity on a Euclidean Plane (SIM)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 16 Axial Affinities of a Euclidean Plane (AX)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 17 Rational Points on a Line (QX)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 18 A Line as Real Numbers (REAL); Coordinatization of a Plane (RR)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 19 Belineations on a Euclidean/LUB Plane (AA)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 2 Affine Geometry: Incidence with Parallelism (IP)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 20 Ratios of Sensed Segments (RS)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 21 Consistency and Independence of Axioms; Other Matters Involving Models

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 3 Collineations of an Affine Plane (CAP)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 4 Incidence and Betweenness (IB)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 5 Pasch Geometry (PSH)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 6 Ordering a Line in a Pasch Plane (ORD)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 7 Collineations Preserving Betweenness (COBE)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 8 Neutral Geometry (NEUT)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

Ch Chapter 9 Free Segments of a Neutral Plane (FSEG)

Edward John Specht, Harold Trainer Jones, Keith G. Calkins and Donald H. Rhoads

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

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