LEADER 02894nam 2200637 a 450 001 9910788555903321 005 20230725045524.0 010 $a1-283-14453-0 010 $a9786613144539 010 $a981-4304-94-8 035 $a(CKB)3360000000001378 035 $a(EBL)731344 035 $a(OCoLC)741492844 035 $a(SSID)ssj0000632419 035 $a(PQKBManifestationID)12221833 035 $a(PQKBTitleCode)TC0000632419 035 $a(PQKBWorkID)10609913 035 $a(PQKB)11388448 035 $a(MiAaPQ)EBC731344 035 $a(WSP)00001135 035 $a(Au-PeEL)EBL731344 035 $a(CaPaEBR)ebr10480301 035 $a(CaONFJC)MIL314453 035 $a(EXLCZ)993360000000001378 100 $a20110712d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aBarycentric calculus in Euclidian and hyperbolic geometry$b[electronic resource] $ea comparative introduction /$fAbraham Albert Ungar 210 $aHackensack, N.J. $cWorld Scientific$d2010 215 $a1 online resource (300 p.) 300 $aDescription based upon print version of record. 311 $a981-4304-93-X 320 $aIncludes bibliographical references and index. 327 $aContents; 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 330 $aThe 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 606 $aGeometry, Analytic 606 $aCalculus 606 $aGeometry, Plane 606 $aGeometry, Hyperbolic 615 0$aGeometry, Analytic. 615 0$aCalculus. 615 0$aGeometry, Plane. 615 0$aGeometry, Hyperbolic. 676 $a516.2 676 $a516.22 700 $aUngar$b Abraham Albert$01466131 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788555903321 996 $aBarycentric calculus in Euclidian and hyperbolic geometry$93676439 997 $aUNINA