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Non-Euclidean Geometries

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Cover of 'Non-Euclidean Geometries'

Table of Contents

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    Book Overview
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    Chapter 1 The Revolution of János Bolyai
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    Chapter 2 Gauss and Non-Euclidean Geometry
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    Chapter 3 János Bolyai’s New Face
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    Chapter 4 Hyperbolic Geometry, Dimension-Free
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    Chapter 5 An Absolute Property of Four Mutually Tangent Circles
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    Chapter 6 Remembering Donald Coxeter
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    Chapter 7 Axiomatizations of Hyperbolic and Absolute Geometries
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    Chapter 8 Logical Axiomatizations of Space-Time. Samples from the Literature
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    Chapter 9 Structures in Hyperbolic Space
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    Chapter 10 The Symmetry of Optimally Dense Packings
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    Chapter 11 Flexible Octahedra in the Hyperbolic Space
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    Chapter 12 Fractal Geometry on Hyperbolic Manifolds
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    Chapter 13 A Volume Formula for Generalised Hyperbolic Tetrahedra
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    Chapter 14 The Geometry of Hyperbolic Manifolds of Dimension at Least 4
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    Chapter 15 Real-Time Animation in Hyperbolic, Spherical, and Product Geometries
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    Chapter 16 On Spontaneous Surgery on Knots and Links
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    Chapter 17 Classification of Tile-Transitive 3-Simplex Tilings and Their Realizations in Homogeneous Spaces
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    Chapter 18 Non-Euclidean Analysis
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    Chapter 19 Holonomy, Geometry and Topology of Manifolds with Grassmann Structure
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    Chapter 20 Hypersurfaces of Type Number 2 in the Hyperbolic Four-Space and Their Extensions To Riemannian Geometry
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    Chapter 21 How Far Does Hyperbolic Geometry Generalize?
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    Chapter 22 Geometry of the Point Finsler Spaces
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    Chapter 23 Black Hole Perturbations
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    Chapter 24 Placing the Hyperbolic Geometry of Bolyai and Lobachevsky Centrally in Special Relativity Theory: An Idea Whose Time has Returned
Attention for Chapter 5: An Absolute Property of Four Mutually Tangent Circles
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Chapter title
An Absolute Property of Four Mutually Tangent Circles
Chapter number 5
Book title
Non-Euclidean Geometries
Published by
Springer, Boston, MA, January 2006
DOI 10.1007/0-387-29555-0_5
Book ISBNs
978-0-387-29554-1, 978-0-387-29555-8
Authors

H.S.M. Coxeter, Coxeter, H.S.M.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Professor 1 100%
Readers by discipline Count As %
Mathematics 1 100%