College Geometry
Using the Geometer's Sketchpad
From two authors who embrace technology in the classroom and value the role of collaborative learning comes College Geometry Using The Geometer's Sketchpad, a book that is ideal for geometry courses for both mathematics and math education majors. The book's truly discovery-based approach guides students to learn geometry through explorations of topics ranging from triangles and circles to transformational, taxicab, and hyperbolic geometries. In the process, students hone their understanding of geometry and their ability to write rigorous mathematical proofs.
PREFACE xv
ONE Using The Geometer's Sketchpad 1
TWO Constructing --> Proving 21
THREE Mathematical Arguments and Triangle Geometry 53
FOUR Circle Geometry and Proofs 85
FIVE Analytic Geometry 111
SIX Taxicab Geometry 143
SEVEN Finite Geometries 161
EIGHT Transformational Geometry 185
NINE Isometries and Matrices 209
TEN Symmetry in the Plane 229
ELEVEN Hyperbolic Geometry 253
TWELVE Projective Geometry 287
APPENDIX A Trigonometry 317
APPENDIX B Calculating with Matrices 329
BIBLIOGRAPHY 337
INDEX 341
ONE Using The Geometer's Sketchpad 1
TWO Constructing --> Proving 21
THREE Mathematical Arguments and Triangle Geometry 53
FOUR Circle Geometry and Proofs 85
FIVE Analytic Geometry 111
SIX Taxicab Geometry 143
SEVEN Finite Geometries 161
EIGHT Transformational Geometry 185
NINE Isometries and Matrices 209
TEN Symmetry in the Plane 229
ELEVEN Hyperbolic Geometry 253
TWELVE Projective Geometry 287
APPENDIX A Trigonometry 317
APPENDIX B Calculating with Matrices 329
BIBLIOGRAPHY 337
INDEX 341
Barbara E. Reynolds and William E. Fenton are the authors of College Geometry: Using the Geometer's Sketchpad, published by Wiley.