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Elementary geometry in hyperbolic space /
Elementary Geometry in Hyperbolic Space.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; New York :
Walter de Gruyter,
1989.
|
| Colección: | De Gruyter studies in mathematics ;
11. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Fenchel, W. |q (Werner), |d 1905- | |
| 245 | 1 | 0 | |a Elementary geometry in hyperbolic space / |c Werner Fenchel. |
| 260 | |a Berlin ; |a New York : |b Walter de Gruyter, |c 1989. | ||
| 300 | |a 1 online resource (xi, 225 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |2 rda | ||
| 490 | 1 | |a De Gruyter studies in mathematics ; |v 11 | |
| 504 | |a Includes bibliographical references and index. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 505 | 0 | |a 2. An invariant of a pair of spherical surfaces3. The power of a point with respect to a spherical surface; 4. The radical plane of a pair of spherical surfaces; 5. Linear families of spherical surfaces; Notes to Chapter VIII; IX. Area and Volume; 1. Various coordinate systems; 2. Area; 3. Volume of some bodies of revolution; 4. Volume of polyhedra; Notes to Chapter IX; References; Index. | |
| 505 | 0 | |a 4. Determination of a hexagon by three of its sides5. The amplitudes of a right-angled hexagon; 6. Transversals of a right-angled hexagon; 7. The bisectors and radii of a right-angled hexagon; 8. The medians of a right-angled hexagon; 9. The altitudes of a right-angled hexagon; Notes to Chapter VI; VII. Points and Planes; 1. Point and plane matrices; 2. Incidence and orthogonality; 3. Distances and angles; 4. Pencils of points and planes; 5. Bundles of points and planes; 6. Tetrahedra; Notes to Chapter VII; VIII. Spherical Surfaces; 1. Equations of spherical surfaces. | |
| 505 | 0 | |a I. Preliminaries; 1. Quaternions; 2. The hyperbolic functions; 3. Trace relations; 4. The fractional linear group and the cross ratio; Notes to Chapter I; II. The Möbius Group; 1. Similarity transformations; 2. The extended space. Orientation. Angular measure; 3. Inversion; 4. Circle- and sphere-preserving transformations; 5. The Möbius group of the upper half-space; Notes to Chapter II; III. The Basic Notions of Hyperbolic Geometry; 1. Lines and planes. Convexity; 2. Orthogonality; 3. The invariant Riemannian metric; 4. The hyperbolic metric; 5. Transformation to the unit ball. | |
| 505 | 0 | |a Notes to Chapter IIIIV. The Isometry Group of Hyperbolic Space; 1. Characterization of the isometry group; 2. Classification of the motions; 3. Reversals; 4. The isometry group of a plane; 5. The spherical and cylindric surfaces; Notes to Chapter IV; V. Lines; 1. Line matrices; 2. Oriented lines; 3. Double crosses; 4. Transversals; 5. Pencils and bundles of lines; Notes to Chapter V; VI. Right-Angled Hexagons; 1. Right-angled hexagons and pentagons; 2. Trigonometric relations for right-angled hexagons; 3. Trigonometric relations for polygons in a plane. | |
| 520 | |a Elementary Geometry in Hyperbolic Space. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Geometry, Hyperbolic. | |
| 650 | 6 | |a Géométrie hyperbolique. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Non-Euclidean. |2 bisacsh | |
| 650 | 7 | |a Geometry, Hyperbolic. |2 fast |0 (OCoLC)fst00940922 | |
| 650 | 7 | |a Hyperbolische Geometrie |2 gnd | |
| 776 | 0 | 8 | |i Print version: |a Fenchel, W. (Werner), 1905- |t Elementary geometry in hyperbolic space. |d Berlin ; New York : Walter de Gruyter, 1989 |w (DLC) 89007650 |
| 830 | 0 | |a De Gruyter studies in mathematics ; |v 11. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=559934 |z Texto completo |
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