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Circles, Spheres and Spherical Geometry

This textbook focuses on the geometry of circles, spheres, and spherical geometry. Various classical themes are used as introductory and motivating topics. The book begins very simply for the reader in the first chapter discussing the notions of inversion and stereographic projection. Here, various...

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Bibliografiske detaljer
Main Authors: Maehara, Hiroshi (Author), Martini, Horst (Author)
Institution som forfatter: SpringerLink (Online service)
Format: Electronisk eBog
Sprog:engelsk
Udgivet: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024.
Udgivelse:1st ed. 2024.
Serier:Birkhäuser Advanced Texts Basler Lehrbücher,
Fag:
Geometry.
Convex geometry .
Discrete geometry.
Graph theory.
Convex and Discrete Geometry.
Graph Theory.
Online adgang:https://doi.org/10.1007/978-3-031-62776-7
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Indholdsfortegnelse:
  • - Inversion and stereographic projection
  • Bend formulas
  • Graphs and circle-systems
  • Spherical geometry I
  • Spherical geometry II
  • The problem of thirteen balls
  • Spherical geometry III
  • Geometric probability on the sphere
  • Intersection graphs of spherical caps
  • Quartets on a sphere
  • Higher dimensions
  • The Cayley-Menger determinant
  • Casey's theorem
  • Solutions to the selected exercises.

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