Barycentric calculus in Euclidian and hyperbolic geometry : a comparative introduction / / Abraham Albert Ungar

• Autore: Ungar Abraham Albert
• Pubblicazione: Hackensack, N.J., : World Scientific, 2010
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (300 p.)
• Disciplina: 516.2; 516.22
• Soggetto topico: Geometry, Analytic; Calculus; Geometry, Plane; Geometry, Hyperbolic
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Contents; Preface; 1. Euclidean Barycentric Coordinates and the Classic Triangle Centers; 2. Gyrovector Spaces and Cartesian Models of Hyperbolic Geometry; 3. The Interplay of Einstein Addition and Vector Addition; 4. Hyperbolic Barycentric Coordinates and Hyperbolic Triangle Centers; 5. Hyperbolic Incircles and Excircles; 6. Hyperbolic Tetrahedra; 7. Comparative Patterns; Notation And Special Symbols; Bibliography; Index
• Sommario/riassunto: 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 provides excellent insight into triangle centers. This unique book on barycentric calculus in Euclidean and hyperbolic geometry provides an introduction to the fascinating and beautiful subject of novel triangle centers in hyperbolic geometry along with analogies they share with familiar triangle ce
• Titolo autorizzato: Barycentric calculus in Euclidian and hyperbolic geometry
• ISBN: 1-283-14453-0; 9786613144539; 981-4304-94-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910820493703321
• Lo trovi qui: Univ. Federico II