Euclidean Geometry and its Subgeometries

Table of Contents

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   Book Overview
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   Chapter 1 Preliminaries and Incidence Geometry (I)
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   Chapter 2 Affine Geometry: Incidence with Parallelism (IP)
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   Chapter 3 Collineations of an Affine Plane (CAP)
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   Chapter 4 Incidence and Betweenness (IB)
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   Chapter 5 Pasch Geometry (PSH)
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   Chapter 6 Ordering a Line in a Pasch Plane (ORD)
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   Chapter 7 Collineations Preserving Betweenness (COBE)
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   Chapter 8 Neutral Geometry (NEUT)
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    Chapter 9 Free Segments of a Neutral Plane (FSEG)
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    Chapter 10 Rotations About a Point of a Neutral Plane (ROT)
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    Chapter 11 Euclidean Geometry Basics (EUC)
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    Chapter 12 Isometries of a Euclidean Plane (ISM)
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    Chapter 13 Dilations of a Euclidean Plane (DLN)
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    Chapter 14 Every Line in a Euclidean Plane Is an Ordered Field (OF)
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    Chapter 15 Similarity on a Euclidean Plane (SIM)
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    Chapter 16 Axial Affinities of a Euclidean Plane (AX)
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    Chapter 17 Rational Points on a Line (QX)
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    Chapter 18 A Line as Real Numbers (REAL); Coordinatization of a Plane (RR)
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    Chapter 19 Belineations on a Euclidean/LUB Plane (AA)
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    Chapter 20 Ratios of Sensed Segments (RS)
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    Chapter 21 Consistency and Independence of Axioms; Other Matters Involving Models