| Softcover ISBN: | 978-1-4704-6641-1 |
| Product Code: | NML/19.S |
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| AMS Member Price: | $48.75 |
| eBook ISBN: | 978-0-88385-934-6 |
| Product Code: | NML/19.E |
| List Price: | $50.00 |
| MAA Member Price: | $37.50 |
| AMS Member Price: | $37.50 |
| Softcover ISBN: | 978-1-4704-6641-1 |
| eBook: ISBN: | 978-0-88385-934-6 |
| Product Code: | NML/19.S.B |
| List Price: | $115.00 $90.00 |
| MAA Member Price: | $86.25 $67.50 |
| AMS Member Price: | $86.25 $67.50 |
| Softcover ISBN: | 978-1-4704-6641-1 |
| Product Code: | NML/19.S |
| List Price: | $65.00 |
| MAA Member Price: | $48.75 |
| AMS Member Price: | $48.75 |
| eBook ISBN: | 978-0-88385-934-6 |
| Product Code: | NML/19.E |
| List Price: | $50.00 |
| MAA Member Price: | $37.50 |
| AMS Member Price: | $37.50 |
| Softcover ISBN: | 978-1-4704-6641-1 |
| eBook ISBN: | 978-0-88385-934-6 |
| Product Code: | NML/19.S.B |
| List Price: | $115.00 $90.00 |
| MAA Member Price: | $86.25 $67.50 |
| AMS Member Price: | $86.25 $67.50 |
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Book DetailsAnneli Lax New Mathematical LibraryVolume: 19; 1967; 193 pp
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
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Table of Contents
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Chapters
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Chapter 1. Points and Lines Connected with a Triangle
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Chapter 2. Some Properties of Circles
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Chapter 3. Collinearity and Concurrence
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Chapter 4. Transformations
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Chapter 5. An Introduction to Inversive Geometry
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Chapter 6. An Introduction to Projective Geometry
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Additional Material
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RequestsReview Copy – for publishers of book reviewsDesk Copy – for instructors who have adopted an AMS textbook for a courseExamination Copy – for faculty considering an AMS textbook for a courseAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
-
Chapters
-
Chapter 1. Points and Lines Connected with a Triangle
-
Chapter 2. Some Properties of Circles
-
Chapter 3. Collinearity and Concurrence
-
Chapter 4. Transformations
-
Chapter 5. An Introduction to Inversive Geometry
-
Chapter 6. An Introduction to Projective Geometry
