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_a9789811239861 _q(ebook) |
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_a981123986X _q(ebook) |
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_z9789811239854 _q(hbk.) |
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_z9811239851 _q(hbk.) |
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_z9789811240379 _q(pbk.) |
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_aQA455 _b.R68 2021 |
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_a516.22 _223 |
049 | _aMAIN | ||
100 | 1 |
_aRoussos, Ioannis Markos. _921148 |
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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. |
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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. |
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538 | _aMode of access: World Wide Web. | ||
538 | _aSystem requirements: Adobe Acrobat Reader. | ||
650 | 0 |
_aEuclid's Elements. _921149 |
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650 | 0 |
_aGeometry, Plane. _921150 |
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650 | 0 |
_aIsometrics (Mathematics) _921151 |
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650 | 0 |
_aSimilarity (Geometry) _921152 |
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650 | 0 |
_aInversions (Geometry) _921153 |
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655 | 0 |
_aElectronic books. _93294 |
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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 |