LEADER 03029nam 2200601Ia 450 001 9910954621203321 005 20200520144314.0 010 $a0-88385-925-4 035 $a(CKB)2670000000205131 035 $a(EBL)3330411 035 $a(OCoLC)923220178 035 $a(SSID)ssj0000577627 035 $a(PQKBManifestationID)11374728 035 $a(PQKBTitleCode)TC0000577627 035 $a(PQKBWorkID)10561911 035 $a(PQKB)11212658 035 $a(UkCbUP)CR9780883859254 035 $a(MiAaPQ)EBC3330411 035 $a(Au-PeEL)EBL3330411 035 $a(CaPaEBR)ebr10729382 035 $a(OCoLC)929120256 035 $a(RPAM)3585286 035 $a(EXLCZ)992670000000205131 100 $a20090918d1975 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeometric transformations$hI /$fI.M. Yaglom ; translated from the Russian by Allen Shields 205 $a1st ed. 210 $aWashington, D.C. $cMathematical Association of America$d1975 215 $a1 online resource (vii, 133 pages) $cdigital, PDF file(s) 225 1 $aAnneli Lax new mathematical library ;$v44 300 $aTitle from publisher's bibliographic system (viewed on 02 Oct 2015). 311 08$a0-88385-608-5 327 $aFront Cover -- Geometric Transformations I -- Copyright Page -- CONTENTS -- Translator's Preface -- From the Author's Preface -- Introduction. What is Geometry? -- Chapter I. Displacements -- 1. Translations -- 2. Half Turn and Rotation -- Chapter II. Symmetry -- 1. Reflection and Glide Reflection -- 2. Directly Congruent and Oppositely Congruent Figures. Classification of Isometries of the Plane -- Solutions -- Chapter One. Displacements -- Chapter Two. Symmetry. 330 $aAlmost everyone is acquainted with plane Euclidean geometry as it is usually taught in high school. This book introduces the reader to a completely different way of looking at familiar geometrical facts. It is concerned with transformations of the plane that do not alter the shapes and sized of geometric figures. Such transformations (called isometries) play a fundamental role in the group-theoretic approach to geometry. The treatment is direct and simple, The reader is introduced to new ideas and then is urged to solve problems using these ideas. The problems form an essential part of this book and the solutions are given in detail in the second half of the book. 410 0$aAnneli Lax new mathematical library ;$vv. 44. 606 $aInversions (Geometry) 606 $aGeometry, Modern 615 0$aInversions (Geometry) 615 0$aGeometry, Modern. 676 $a516.5 700 $aIAglom$b I. M$g(Isaak Moiseevich),$f1921-1988.$050559 701 $aShenitzer$b Abe$049807 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910954621203321 996 $aGeometric transformations$94403474 997 $aUNINA