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082 0 4 _a516.22
_223
049 _aMAIN
100 1 _aRoussos, Ioannis Markos.
_921148
245 1 0 _aBasic lessons on isometries, similarities and inversions in the Euclidean plane
_h[electronic resource] :
_ba synthetic approach /
_cIoannis Markos Roussos.
260 _aSingapore :
_bWorld Scientific,
_c2021.
300 _a1 online resource (500 p.)
504 _aIncludes bibliographical references and index.
505 0 _aSome preliminaries -- Isometries -- Exercises on isometries -- Similarities -- Exercises on similarities -- The transformation of inversion -- Exercises on circles -- Exercises on radical axis -- Exercises on inversion.
520 _a"The aim of this book is to provide a complete synthetic exposition of plane isometries, similarities and inversions to readers who are interested in studying, teaching, and using this material. The topics developed in this book can provide new proofs and solutions to many results and problems of classical geometry, which are presented with different proofs in the literature. Their applications are numerous and some, such as the Steiner Chains and Point, are useful to engineers. The book contains many good examples, important applications and numerous exercises of various level and difficulty, which are classified in the three groups of: general exercises, geometrical constructions, and geometrical loci. Some lengthy exercises or groups of related exercises can be viewed as projects. On the basis of the above, this book, besides Classical Geometry, is an important addition to Mathematics Education"--
_cPublisher's website.
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat Reader.
650 0 _aEuclid's Elements.
_921149
650 0 _aGeometry, Plane.
_921150
650 0 _aIsometrics (Mathematics)
_921151
650 0 _aSimilarity (Geometry)
_921152
650 0 _aInversions (Geometry)
_921153
655 0 _aElectronic books.
_93294
856 4 0 _uhttps://www.worldscientific.com/worldscibooks/10.1142/12358#t=toc
_zAccess to full text is restricted to subscribers.
942 _cEBK
999 _c72745
_d72745