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Geometry Revisited /
Among the many beautiful and nontrivial theorems in geometry found here 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, rotation...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2012.
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| Colección: | Anneli Lax new mathematical library.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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|---|---|---|---|
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| 003 | OCoLC | ||
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| 245 | 0 | 0 | |a Geometry Revisited / |c H.S.M. Coxeter, Samuel L. Greitzer. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2012. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Anneli Lax New Mathematical Library ; |v v. 19 | |
| 500 | |a Title from publishers bibliographic system (viewed on 30 Jan 2012). | ||
| 505 | 0 | |a Front Cover -- Geometry Revisited -- Copyright Page -- Contents -- Preface -- Chapter 1. Points and Lines Connected with a Triangle -- 1.1 The extended Law of Sines -- 1.2 Ceva�s theorem -- 1.3 Points of interest -- 1.4 The incircle and excircles -- 1.5 The Steiner-Lehmus theorem -- 1.6 The orthic triangle -- 1.7 The medial triangle and Euler line -- 1.8 The nine-point Circle -- 1.9 Pedal triangles -- Chapter 2. Some Properties of Circles -- 2.1 The power of a point with respect to a circle -- 2.2 The radical axis of two circles -- 2.3 Coaxal circles | |
| 505 | 8 | |a 2.4 More on the altitudes and orthocenter of a triangle2.5 Simson lines -- 2.6 Ptolemy�s theorem and its extension -- 2.7 More on Simson lines -- 2.8 The Butterfly -- 2.9 Morley�s theorem -- Chapter 3. Collinearity and Concurrence -- 3.1 Quadrangles; Varignon�s theorem -- 3.2 Cyclic quadrangles; Brahmagupta�s formula -- 3.3 Napoleon triangles -- 3.4 Menelaus�s theorem -- 3.5 Pappus�s theorem -- 3.6 Perspective triangles; Desargues�s theorem -- 3.7 Hexagons -- 3.8 Pascal�s theorem -- 3.9 Brianchon�s theorem | |
| 505 | 8 | |a Chapter 4. Transformations4.1 Translation -- 4.2 Rotation -- 4.3 Half-turn -- 4.4 Reflection -- 4.5 Fagnano�s problem -- 4.6 The three jug problem -- 4.7 Dilatation -- 4.8 Spiral similarity -- 4.9 A genealogy of transformations -- Chapter 5. An Introduction to Inversive Geometry -- 5.1 Separation -- 5.2 Cross ratio -- 5.3 Inversion -- 5.4 The inversive plane -- 5.5 Orthogonality -- 5.6 Feuerbach�s theorem -- 5.7 Coaxal circles -- 5.8 Inversive distance -- 5.9 Hyperbolic functions -- Chapter 6. An Introduction to Projective Geometry | |
| 505 | 8 | |a 6.1 Reciprocation6.2 The polar circle of a triangle -- 6.3 Conics -- 6.4 Focus and directrix -- 6.5 The projective plane -- 6.6 Central conics -- 6.7 Stereographic and gnomonic projection -- Hints and Answers to Exercises -- References -- Glossary -- Index -- Back Cover | |
| 520 | |a Among the many beautiful and nontrivial theorems in geometry found here 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. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Geometry. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 2 | |a Mathematics | |
| 650 | 6 | |a Géométrie. | |
| 650 | 6 | |a Mathématiques. | |
| 650 | 7 | |a geometry. |2 aat | |
| 650 | 7 | |a Geometry |2 fast | |
| 650 | 7 | |a Mathematics |2 fast | |
| 700 | 1 | |a Coxeter, H. S. M. | |
| 700 | 1 | |a Greitzer, Samuel L. | |
| 776 | 0 | 8 | |i Print version: |a Coxeter, Harold S.M. |t Geometry Revisited. |d Washington : Mathematical Association of America, ©2014 |z 9780883856192 |
| 830 | 0 | |a Anneli Lax new mathematical library. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3330394 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL3330394 | ||
| 938 | |a YBP Library Services |b YANK |n 7349804 | ||
| 994 | |a 92 |b IZTAP | ||