LEADER 03496nam 2200613Ia 450 001 9910957925303321 005 20200520144314.0 010 $a0-88385-939-4 035 $a(CKB)2560000000081451 035 $a(EBL)3330409 035 $a(OCoLC)923220176 035 $a(SSID)ssj0000577629 035 $a(PQKBManifestationID)11362428 035 $a(PQKBTitleCode)TC0000577629 035 $a(PQKBWorkID)10562406 035 $a(PQKB)11246815 035 $a(UkCbUP)CR9780883859391 035 $a(MiAaPQ)EBC3330409 035 $a(Au-PeEL)EBL3330409 035 $a(CaPaEBR)ebr10729380 035 $a(OCoLC)929120317 035 $a(RPAM)ccn00913488 035 $a(EXLCZ)992560000000081451 100 $a20090918d1973 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeometric transformations$hIII /$fby I.M. Yaglom ; translated from the Russian by A. Shenitzer 205 $a1st ed. 210 $aWashington, D.C. $cMathematical Association of America$d1973 215 $a1 online resource (viii, 237 pages) $cdigital, PDF file(s) 225 1 $aAnneli Lax new mathematical library ;$v24 300 $aTitle from publisher's bibliographic system (viewed on 02 Oct 2015). 311 08$a0-88385-624-7 327 $aContents -- Translator's Preface -- From the Author's Preface -- Introduction. What is Geometry? (Final Essay) -- Chapter I. Affine and Projective Transformations (Affinities and Projectivities) -- 1. Parallel projection of a plane onto a plane : Affine transformations of the plane -- 2. Central projection of a plane onto a plane : Projective transformations of a plane -- 3. Central projections which carry a circle into a circle: Stereographic projections -- 4. Reciprocation (polarity) of the plane : Principle of duality -- 5. Projective transformation of a line and a circle : Straightedge construction -- Supplement -- Non-Euclidean Geometry of Lobachevsky-Bolyai (Hyperbolic Geometry) -- Solutions -- Chapter One. Affine and projective transformations -- Supplement. Hyperbolic geometry. 330 $aThis book is the sequel to Geometric Transformations I and II, volumes 8 and 21 in this series, but can be studies independently. It is devoted to the treatment of affine and projective transformations of the plane these transformations include the congruencies and similarities investigated in the previous volumes. The simple text and the many problems are designed mainly to show how the principles of affine and projective geometry may be used to furnish relatively simple solutions of large classes of problems in elementary geometry, including some straight edge construction problems. In the Supplement, the reader is introduced to hyperbolic geometry. The latter part of the book consists of detailed solutions of the problems posed throughout the text. 410 0$aAnneli Lax new mathematical library ;$vv. 24. 517 3 $aGeometric transformations 3 606 $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 $a9910957925303321 996 $aGeometric transformations$94403474 997 $aUNINA