LEADER 03096nam 22005532 450 001 9910791742503321 005 20220527004436.0 010 $a0-88385-936-X 035 $a(CKB)2560000000081450 035 $a(EBL)3330399 035 $a(OCoLC)923220026 035 $a(SSID)ssj0000577628 035 $a(PQKBManifestationID)11376607 035 $a(PQKBTitleCode)TC0000577628 035 $a(PQKBWorkID)10561656 035 $a(PQKB)10218565 035 $a(UkCbUP)CR9780883859360 035 $a(MiAaPQ)EBC3330399 035 $a(Au-PeEL)EBL3330399 035 $a(CaPaEBR)ebr10729370 035 $a(OCoLC)929120135 035 $a(RPAM)3585286 035 $a(EXLCZ)992560000000081450 100 $a20111001d1968|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeometric transformations$hII /$fby I.M. Yaglom ; translated from the Russian by Allen Shields$b[electronic resource] 210 1$aWashington :$cMathematical Association of America,$d1968. 215 $a1 online resource (xi, 189 pages) $cdigital, PDF file(s) 225 1 $aAnneli Lax new mathematical library ;$v21 300 $aTitle from publisher's bibliographic system (viewed on 02 Oct 2015). 311 $a0-88385-621-2 327 $aNote to the Reader -- Contents -- Translator's Preface -- From the Author's Preface -- Introduction. What is Geometry? -- Chapter I. Classification of Similarity Transformations -- 1. Central similarity (homothety) -- 2. Spiral similarity and dilative reflection. Directly similar and oppositely similar figures -- Chapter II. Further Applications of Isometries and Similarities -- 1. Systems of mutually similar figures -- 2. Applications of isometries and of similarities to the solution of maximum-minimum problems -- Solutions -- Chapter One. Classification of similarities -- Chapter Two. Further applications of isometries and similarities. 330 $aThis book is the sequel to Geometric Transformation I which appeared in this series in 1962. Part 1 treats length-preserving transformation (called isometries), this volume treats shape-preserving transformations (called similarities); and Part III treats affine and protective transformations. These classes of transformation play a fundamental role in the group-theoretic approach to geometry. As in the previous volume, the treatment is direct and simple. The introduction of each new idea is supplemented by problems whose solutions employ the idea just presented, and whose detailed solutions are given in the second half of the book. 410 0$aAnneli Lax new mathematical library ;$vv. 21. 606 $aTransformations (Mathematics) 615 0$aTransformations (Mathematics) 676 $a516.04 700 $aI?Aglom$b I. M$g(Isaak Moiseevich),$f1921-1988,$050559 702 $aShields$b Allen 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910791742503321 996 $aGeometric transformations$93694306 997 $aUNINA