دانلود کتاب A Full Axiomatic Development of High School Geometry

فهرست مطالب :

Preface
Acknowledgements
Contents
Foundational Principles
Non-triviality and Betweenness
Congruence and Length Measure
Circles
Triangle Congruence
Upgrading Euclidean Constructions
Neutral Geometry
Similar Figures
The Euclidean Parallel Axiom
The Scaling Lemma
The Scaling Theorem
Similarity
Area Measure
Polygonal Regions
Decompositional Equivalence
Polygonal Area
The Area Measure Theorem
Consequences of Area Measure
Angle Measure
Ordering Angles
Degree Measure
Angle Measure and Congruence
The Angle Measure Theorem
Consequences of Angle Measure
Trigonometry
Circle Measure
Jordan Measure of Area
Inscribed Convex Polygons
Circumscribed Convex Polygons
Area, Circumference and the Number
Consistency and Models
Birkhoff\'s Geometry
Consistency
Euclidean Fields
Models from Euclidean Fields
All Models
The Constructible Plane
Appendix A: Axioms
Appendix B: MCL#9
Appendix C: Font Guide
Appendix D: Theorem Index
Appendix E: Notation Index
Bibliography
Index