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Record Nr. |
UNINA9910822844603321 |
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Autore |
IAglom I. M (Isaak Moiseevich), <1921-1988.> |
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Titolo |
Geometric transformations . II / / by I.M. Yaglom ; translated by A. Shenitzer |
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Pubbl/distr/stampa |
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Washington, D.C., : Mathematical Association of America, 1968 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (xi, 189 pages) : digital, PDF file(s) |
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Collana |
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Anneli Lax new mathematical library ; ; 21 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Inversions (Geometry) |
Geometry, Modern |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 02 Oct 2015). |
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Nota di contenuto |
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Note to the Reader -- Contents -- Translator's Preface -- From the Author's Preface -- Introduction. What is Geometry? -- Chapter I. Classification of Similarity Transformations -- 1. Central similarity (homothety) -- 2. Spiral similarity and dilative reflection. Directly similar and oppositely similar figures -- Chapter II. Further Applications of Isometries and Similarities -- 1. Systems of mutually similar figures -- 2. Applications of isometries and of similarities to the solution of maximum-minimum problems -- Solutions -- Chapter One. Classification of similarities -- Chapter Two. Further applications of isometries and similarities. |
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Sommario/riassunto |
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This book is the sequel to Geometric Transformation I which appeared in this series in 1962. Part 1 treats length-preserving transformation (called isometries), this volume treats shape-preserving transformations (called similarities); and Part III treats affine and protective transformations. These classes of transformation play a fundamental role in the group-theoretic approach to geometry. As in the previous volume, the treatment is direct and simple. The introduction of each new idea is supplemented by problems whose solutions employ the idea just presented, and whose detailed solutions are given in the second half of the book. |
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