02891nam 2200649 a 450 991082049370332120240516083830.01-283-14453-09786613144539981-4304-94-8(CKB)3360000000001378(EBL)731344(OCoLC)741492844(SSID)ssj0000632419(PQKBManifestationID)12221833(PQKBTitleCode)TC0000632419(PQKBWorkID)10609913(PQKB)11388448(MiAaPQ)EBC731344(WSP)00001135 (Au-PeEL)EBL731344(CaPaEBR)ebr10480301(CaONFJC)MIL314453(EXLCZ)99336000000000137820110712d2010 uy 0engur|n|---|||||txtccrBarycentric calculus in Euclidian and hyperbolic geometry a comparative introduction /Abraham Albert Ungar1st ed.Hackensack, N.J. World Scientific20101 online resource (300 p.)Description based upon print version of record.981-4304-93-X Includes bibliographical references and index.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; IndexThe 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 ceGeometry, AnalyticCalculusGeometry, PlaneGeometry, HyperbolicGeometry, Analytic.Calculus.Geometry, Plane.Geometry, Hyperbolic.516.2516.22Ungar Abraham Albert1645771MiAaPQMiAaPQMiAaPQBOOK9910820493703321Barycentric calculus in Euclidian and hyperbolic geometry3992454UNINA