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Geometric Transformations IV : Circular Transformations Circular Transformations. /
The familiar plane geometry of high school - figures composed of lines and circles - takes on a new life when viewed as the study of properties that are preserved by special groups of transformations. No longer is there a single, universal geometry: different sets of transformations of the plane cor...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2011.
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| Colección: | Anneli Lax new mathematical library.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover
- Title page
- Contents
- 1 Reflection in a circle (inversion)
- 2 Application of inversionsto the solution of constructions
- Problems. Constructions with compass alone
- Problems involving the construction of circles
- Notes to Section 2
- 3 Pencils of circles. The radical axis of two circles
- Notes to Section 3
- 4 Inversion (concluding section)
- Notes to Section 4
- 5 Axial circular transformations
- A. Dilatation
- B. Axial inversion
- Notes to Section 5
- Supplement
- Non-Euclidean Geometry of Lobachevski-Bolyai, or Hyperbolic GeometryNotes to Supplement
- Solutions
- Section 1
- Section 2
- Section 3
- Section 4
- Notes to Section 4
- Section 5
- Notes to Section 5
- Supplement
- Notes to Supplement
- About the Author