Borrow it
 Architecture Library
 Bizzell Memorial Library
 Boorstin Collection
 Chinese Literature Translation Archive
 Engineering Library
 Fine Arts Library
 Harry W. Bass Business History Collection
 History of Science Collections
 John and Mary Nichols Rare Books and Special Collections
 Library Service Center
 Price College Digital Library
 Western History Collections
The Resource Elementary geometry in hyperbolic space, Werner Fenchel
Elementary geometry in hyperbolic space, Werner Fenchel
Resource Information
The item Elementary geometry in hyperbolic space, Werner Fenchel represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Elementary geometry in hyperbolic space, Werner Fenchel represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Language
 eng
 Extent
 1 online resource (xi, 225 pages)
 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
 Isbn
 9783110849455
 Label
 Elementary geometry in hyperbolic space
 Title
 Elementary geometry in hyperbolic space
 Statement of responsibility
 Werner Fenchel
 Language
 eng
 http://library.link/vocab/creatorDate
 1905
 http://library.link/vocab/creatorName
 Fenchel, W.
 Dewey number
 516.9
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA685
 LC item number
 .F38 1989
 Literary form
 non fiction
 Nature of contents
 bibliography
 Series statement
 De Gruyter studies in mathematics
 Series volume
 11
 http://library.link/vocab/subjectName
 Geometry, Hyperbolic
 Label
 Elementary geometry in hyperbolic space, 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
 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.
 Label
 Elementary geometry in hyperbolic space, 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
 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.
Subject
Genre
Member of
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/ElementarygeometryinhyperbolicspaceWerner/O1ptfdhVn6U/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/ElementarygeometryinhyperbolicspaceWerner/O1ptfdhVn6U/">Elementary geometry in hyperbolic space, Werner Fenchel</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Elementary geometry in hyperbolic space, Werner Fenchel
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/ElementarygeometryinhyperbolicspaceWerner/O1ptfdhVn6U/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/ElementarygeometryinhyperbolicspaceWerner/O1ptfdhVn6U/">Elementary geometry in hyperbolic space, Werner Fenchel</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>