The secrets of TRIANGLES

The secrets of TRIANGLES

ALFRED S. PDSAMENTIER and INBMAR LEHMANN

CONTENTS

Acknowledgments
Preface
1. Introduction to the Triangle
2. Concurrencies of a Triangle
3. Noteworthy Points in a Triangle
4. Concurrent Circles of a Triangle
5. Special Lines of a Triangle
6. Useful Triangle Theorems
7. Areas of and within Triangles
8. Triangle Constructions
9. Inequalities in a Triangle
10. Triangles and Fractals
Appendix
Notes
References
Index
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ACKNOWLEDGMENTS
The authors wish to extend sincere thanks for proofreading and useful suggestions to Dr. Michael Engber, rofessor emeritus at the City College of the City University of New York; Dr. Manfred Kronfeller, professor of mathematics at
Vienna University of Technology, Austria; Dr. Bernd Thaller, professor of mathematics at Karl Franzens University–Graz, Austria; and Dr. Peter Schöpf, professor of mathematics at Karl Franzens University–Graz, Austria. We are especially grateful to Dr. Robert A. Chaffer, professor of mathematics at Central Michigan University for contributing chapter 10 on fractals. We also thank Catherine Roberts-Abel for managing the production of this book and Jade Zora Ballard for her meticulous editing.