Exploring Advanced Euclidean Geometry with GeoGebra

Chapters 0. A Quick Review of Elementary Euclidean Geometry 1. The Elements of GeoGebra 2. The Classical Triangle Centers 3. Advanced Techniques in GeoGebra 4. Circumscribed, Inscribed, and Escribed Circles 5. The Medial and Orthic Triangles 6. Quadrilaterals 7. The Nine-Point Circle 8. Ceva's Theorem 9. The Theorem of Menelaus 10. Circles and Lines 11. Applications of the Theorem of Menelaus 12. Additional Topics in Triangle Geometry 13. Inversions in Circles 14. The Poincare Disk

... If you want to teach a course that conveys the joy of mathematical thinking to students, consider leading your students on a journey through Venema's book. The theorems are classics and Venema's presentation allows the reader to experience the discovery of insights, which make them all the more meaningful and memorable. An Inquiry Based Learning course based on Venema's book would be a perfect experience for any mathematics major, particularly, a person who might teach geometry later. Exploring Advanced Euclidean Geometry with GeoGebra is also a perfect book for individual or small group study. Students, teachers, or anyone who enjoys geometrical beauty can take their time and savor the many wonderful theorems that this book contains. Whether used in a classroom setting or for individual instruction, every reader of Gerard Venema's Exploring Advanced Euclidean Geometry with GeoGebra is in for a feast of delectable geometry."" - Michael Starbird ""Exploring Advanced Euclidean Geometry with GeoGebra is written for an inquiry-based approach, with lots of exercises and just enough narrative and historical commentary to hold it all together. ... There is also much value to be mined as a supplement to other Euclidean geometry texts. ... This book would work as a sourcebook for directed study and as such is worth consideration for many academic libraries. Inquiry-minded instructors should absolutely give this some attention. Working through these exercises feels very much like the process of doing mathematics, which is about the most one can ask of a book like this. The engaged student will learn much about learning as well as geometry."" - Bill Wood, MAA Reviews