The Resource Elementary geometry in hyperbolic space, Werner Fenchel

Elementary geometry in hyperbolic space, Werner Fenchel

Label
Elementary geometry in hyperbolic space
Title
Elementary geometry in hyperbolic space
Statement of responsibility
Werner Fenchel
Creator
Subject
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
Link
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=559934
Instantiates
Publication
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 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
  • 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
  • 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
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
Link
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=559934
Publication
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 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
  • 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
  • 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
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.

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