Elementary geometry in hyperbolic space, Werner Fenchel
Resource Information
The instance Elementary geometry in hyperbolic space, Werner Fenchel represents a material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Instance, Electronic.
The Resource
Elementary geometry in hyperbolic space, Werner Fenchel
Resource Information
The instance Elementary geometry in hyperbolic space, Werner Fenchel represents a material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Instance, Electronic.
 Label
 Elementary geometry in hyperbolic space, Werner Fenchel
 Statement of responsibility
 Werner Fenchel
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 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
 4. Determination of a hexagon by three of its sides5. The amplitudes of a rightangled hexagon; 6. Transversals of a rightangled hexagon; 7. The bisectors and radii of a rightangled hexagon; 8. The medians of a rightangled hexagon; 9. The altitudes of a rightangled 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
 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 spherepreserving transformations; 5. The Möbius group of the upper halfspace; 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
 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. RightAngled Hexagons; 1. Rightangled hexagons and pentagons; 2. Trigonometric relations for rightangled hexagons; 3. Trigonometric relations for polygons in a plane
 Dimensions
 unknown
 Extent
 1 online resource (xi, 225 pages)
 Form of item
 online
 Isbn
 9783110849455
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 eBooks on EBSCOhost
 Other control number
 10.1515/9783110849455
 Other physical details
 illustrations
 Record ID
 991087504902042
 Reproduction note
 Electronic reproduction.
 Specific material designation
 remote
 System control number

 (OCoLC)815507719
 (OCoLC)ocn815507719
 System details
 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.
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