Exploring Geometry, 2nd Edition

This text promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between statements, making these connections real. They develop the intuition needed to conjecture a theorem and devise a proof of what they have observed.

Table of Contents

CHAPTER 1 Geometry and the Axiomatic Method
CHAPTER 2 Euclidean Geometry
CHAPTER 3 Analytic Geometry
CHAPTER 4 Constructions
CHAPTER 5 Transformational Geometry
CHAPTER 6 Symmetry
CHAPTER 7 Hyperbolic Geometry
CHAPTER 8 Elliptic Geometry
CHAPTER 9 Projective Geometry
Chapter 10 Fractal Geometry
APPENDIX A: A Primer on Proofs
APPENDIX B: Book I of Euclid’s Elements
APPENDIX C: Birkhofl’s Axioms
APPENDIX D: Hilbert’s Axioms
APPENDIX E: Wallpaper Groups