00833nam a2200229 a 4500991001452539707536111027s 000 0 ita d8870922154b14016813-39ule_instDip.to Filologia Ling. e Lett.itaDescloux, Giuseppe475980A Didachè napulitana/Giuseppe DesclouxNapoli:M. D'Auria Editore;2003150 p.;18 cm.Piccola Biblioteca M. D'AuriaDialetto napoletano.b1401681302-04-1427-10-11991001452539707536 LE008 FL.M. (f.r.) XXIV 251 12008000113636le008-E0.00-l- 00000.i1533961027-10-11Didachè napulitana242833UNISALENTOle00827-10-11ma -itait 2003722nam 2200613Ia 450 991095849800332120200520144314.00-88385-958-0(CKB)2670000000205132(EBL)3330414(SSID)ssj0000667040(PQKBManifestationID)11391341(PQKBTitleCode)TC0000667040(PQKBWorkID)10683940(PQKB)10955798(UkCbUP)CR9780883859582(MiAaPQ)EBC3330414(Au-PeEL)EBL3330414(CaPaEBR)ebr10729385(OCoLC)929120329(RPAM)15827584(EXLCZ)99267000000020513220090918d2009 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierGeometric transformationsIVCircular transformations /I.M. Yaglom ; translated by A. Shenitzer1st ed.Washington, D.C. Mathematical Association of Americac20091 online resource (viii, 285 pages) digital, PDF file(s)Anneli Lax new mathematical library ;44Title from publisher's bibliographic system (viewed on 02 Oct 2015).0-88385-648-4 Reflections in a circle (inversion) -- Application of inversions to the solution of constructions -- Pencils of circles. The radical axis of two circles -- Inversion (concluding section) -- Axial circular transformations -- Non-Euclidean geometry of Lobachevskiĭ-Bolyai, or hyperbolic geometry -- Solutions.The familiar plane geometry of high school - figures composed of lines and circles - takes on a new life when viewed as the study of properties that are preserved by special groups of transformations. No longer is there a single, universal geometry: different sets of transformations of the plane correspond to intriguing, disparate geometries. This book is the concluding Part IV of Geometric Transformations, but it can be studied independently of Parts I, II, and III, which appeared in this series as Volumes 8, 21, and 24. Part I treats the geometry of rigid motions of the plane (isometries); Part II treats the geometry of shape-preserving transformations of the plane (similarities); Part III treats the geometry of transformations of the plane that map lines to lines (affine and projective transformations) and introduces the Klein model of non-Euclidean geometry. The present Part IV develops the geometry of transformations of the plane that map circles to circles (conformal or anallagmatic geometry). The notion of inversion, or reflection in a circle, is the key tool employed. Applications include ruler-and-compass constructions and the Poincaré model of hyperbolic geometry. The straightforward, direct presentation assumes only some background in high-school geometry and trigonometry. Numerous exercises lead the reader to a mastery of the methods and concepts. The second half of the book contains detailed solutions of all the problems.Anneli Lax new mathematical library ;v. 44.Circular transformationsInversions (Geometry)Geometry, ModernInversions (Geometry)Geometry, Modern.511.3/3IAglom I. M(Isaak Moiseevich),1921-1988.50559Shenitzer Abe49807Mathematical Association of America,MiAaPQMiAaPQMiAaPQBOOK9910958498003321Geometric transformations4403474UNINA