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Experiencing Geometry, 3rd Edition
ISBN-10: 0-13-143748-8
ISBN-13: 978-0-13-143748-7
Published by Addison-Wesley
© 2005
Pub. Date: Jul 28, 2004
Format: Paper
Table of Contents
Preface.
How to Use this Book.
0. Historical Strands of Geometry.
1. What is Straight?
2. Straightness on Spheres.
3. What Is an Angle?
4. Straightness on Cylinders and Cones.
5. Straightness on Hyperbolic Planes.
6. Triangles and Congruencies.
7. Area and Holonomy.
8. Parallel Transport.
9. SSS, ASS, SAA, and AAA.
10. Parallel Postulates.
11. Isometries and Patterns.
12. Dissection Theory.
13. Square Roots, Pythagoras and Similar Triangles.
14. Projections of a Sphere onto a Plane.
15. Circles.
16. Inversions in Circles.
17. Projections (Models) of Hyperbolic Planes.
18. Geometric 2-Manifolds.
19. Geometric Solutions of Quadratic and Cubic Equations.
20. Trigonometry and Duality.
21. Mechanisms.
22. 3-Spheres and Hyperbolic 3-Spaces.
23. Polyhedra.
24. 3-Manifolds—the Shape of Space.
Appendix A: Euclid's Definitions, Postulates, and Common Notions.
Appendix B: Constructions of Hyperbolic Planes.
Bibliography.
Index.
