eBook ISBN:  9780883859513 
Product Code:  NML/37.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
eBook ISBN:  9780883859513 
Product Code:  NML/37.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 

Book DetailsAnneli Lax New Mathematical LibraryVolume: 37; 1995; 174 pp
Euclidean geometry was worked out by Euclid and his predecessors more than 2300 years ago and is studied today mostly as a background to other branches of mathematics. In fact, however, as Professor Honsberger masterfully demonstrates, geometry in the style of Euclid is still alive and well.
Mathematicians have again been studying the properties of geometric figures from a synthetic point of view and have discovered many new and unexpected results which Euclid himself never found. And since all of us have studied Euclidean geometry, at least the ancient version, this book is easily accessible. Exercises with their solutions are included in the book.

Table of Contents

Chapters

Chapter 1. Cleavers and Splitters

Chapter 2. The Orthocenter

Chapter 3. On Triangles

Chapter 4. On Quadrilaterals

Chapter 5. A Property of Triangles

Chapter 6. The Fuhrmann Circle

Chapter 7. The Symmedian Point

Chapter 8. The Miquel Theorem

Chapter 9. The Tucker Circles

Chapter 10. The Brocard Points

Chapter 11. The Orthopole

Chapter 12. On Cevians

Chapter 13. The Theorem of Menelaus


Reviews

As the title implies, this book is concerned with results in Euclidean geometry that have been discovered in the last 200 years, mostly in the last 125 years. Some of them are fairly well known, but many will be new to most readers. They are divided into 13 chapters, some of which have a set of exercises with solutions at the end of the book. A pleasing feature is the clarity of the diagrams of which there are more than 200.
E. J. F. Primrose, Mathematical Reviews


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Euclidean geometry was worked out by Euclid and his predecessors more than 2300 years ago and is studied today mostly as a background to other branches of mathematics. In fact, however, as Professor Honsberger masterfully demonstrates, geometry in the style of Euclid is still alive and well.
Mathematicians have again been studying the properties of geometric figures from a synthetic point of view and have discovered many new and unexpected results which Euclid himself never found. And since all of us have studied Euclidean geometry, at least the ancient version, this book is easily accessible. Exercises with their solutions are included in the book.

Chapters

Chapter 1. Cleavers and Splitters

Chapter 2. The Orthocenter

Chapter 3. On Triangles

Chapter 4. On Quadrilaterals

Chapter 5. A Property of Triangles

Chapter 6. The Fuhrmann Circle

Chapter 7. The Symmedian Point

Chapter 8. The Miquel Theorem

Chapter 9. The Tucker Circles

Chapter 10. The Brocard Points

Chapter 11. The Orthopole

Chapter 12. On Cevians

Chapter 13. The Theorem of Menelaus

As the title implies, this book is concerned with results in Euclidean geometry that have been discovered in the last 200 years, mostly in the last 125 years. Some of them are fairly well known, but many will be new to most readers. They are divided into 13 chapters, some of which have a set of exercises with solutions at the end of the book. A pleasing feature is the clarity of the diagrams of which there are more than 200.
E. J. F. Primrose, Mathematical Reviews