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Barycentric calculus in Euclidean and hyperbolic geometry : a comparative introduction /

The word barycentric is derived from the Greek word barys (heavy), and refers to center of gravity. Barycentric calculus is a method of treating geometry by considering a point as the center of gravity of certain other points to which weights are ascribed. Hence, in particular, barycentric calculus...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ungar, Abraham A.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; Hackensack, NJ : World Scientific, ©2010.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Euclidean barycentric coordinates and the classic triangle centers
  • Gyrovector spaces and Cartesian models of hyperbolic geometry
  • The interplay of Einstein addition and vector addition
  • Hyperbolic barycentric coordinates and hyperbolic triangle centers
  • Hyperbolic incircles and excircles
  • Hyperbolic tetrahedra
  • Comparative patterns.