| eBook ISBN: | 978-0-88385-951-3 |
| Product Code: | NML/37.E |
| List Price: | $50.00 |
| MAA Member Price: | $37.50 |
| AMS Member Price: | $37.50 |
| eBook ISBN: | 978-0-88385-951-3 |
| Product Code: | NML/37.E |
| List Price: | $50.00 |
| MAA Member Price: | $37.50 |
| AMS Member Price: | $37.50 |
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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.
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Table of Contents
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Chapters
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Chapter 1. Cleavers and Splitters
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Chapter 2. The Orthocenter
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Chapter 3. On Triangles
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Chapter 4. On Quadrilaterals
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Chapter 5. A Property of Triangles
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Chapter 6. The Fuhrmann Circle
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Chapter 7. The Symmedian Point
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Chapter 8. The Miquel Theorem
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Chapter 9. The Tucker Circles
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Chapter 10. The Brocard Points
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Chapter 11. The Orthopole
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Chapter 12. On Cevians
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Chapter 13. The Theorem of Menelaus
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Reviews
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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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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
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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
