Geometric transformations.: II /
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...
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| Format: | Elektronisch E-Book |
| Sprache: | English Russian |
| Veröffentlicht: |
Washington D.C. :
Mathematical Association of America,
©1968.
|
| Schriftenreihe: | New mathematical library ;
21. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | Title from PDF title page (viewed on May 31, 2012). |
| Beschreibung: | 1 online resource : illustrations. |
| ISBN: | 9780883859360 088385936X 0883856212 9780883856215 |
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| 245 | 1 | 0 | |a Geometric transformations. |n II / |c by I.M. Yaglom ; translated from the Russian by Allen Shields ; [ill. by George H. Buehler]. |
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| 505 | 0 | |a ""Front Cover""; ""Title page ""; ""Copyright Page""; ""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"" | |
| 505 | 8 | |a ""Solutions.""""Chapter One. Classification of similarities""; ""Chapter Two. Further applications of isometries and similarities"" | |
| 520 | |a 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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| author | I︠A︡glom, I. M. (Isaak Moiseevich), 1921-1988 |
| author2 | Buehler, George H. |
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| contents | ""Front Cover""; ""Title page ""; ""Copyright Page""; ""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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| discipline | Mathematik |
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| id | ZDB-4-EBA-ocn794568023 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:18:25Z |
| institution | BVB |
| isbn | 9780883859360 088385936X 0883856212 9780883856215 |
| language | English Russian |
| oclc_num | 794568023 |
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| publishDate | 1968 |
| publishDateSearch | 1968 |
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| publisher | Mathematical Association of America, |
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| series | New mathematical library ; |
| series2 | New mathematical library ; |
| spelling | I︠A︡glom, I. M. (Isaak Moiseevich), 1921-1988. https://id.oclc.org/worldcat/entity/E39PBJfh8bjxCTBYywMgjqwcT3 http://id.loc.gov/authorities/names/n80067373 Geometric transformations. II / by I.M. Yaglom ; translated from the Russian by Allen Shields ; [ill. by George H. Buehler]. Washington D.C. : Mathematical Association of America, ©1968. 1 online resource : illustrations. text txt rdacontent computer c rdamedia online resource cr rdacarrier New mathematical library ; 21 Title from PDF title page (viewed on May 31, 2012). ""Front Cover""; ""Title page ""; ""Copyright Page""; ""Note to the Reader""; ""Contents""; ""Translatorâ€?s Preface""; ""From the Authorâ€?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"" 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. English. Inversions (Geometry) http://id.loc.gov/authorities/subjects/sh85067688 Geometry, Modern. http://id.loc.gov/authorities/subjects/sh85054152 Inversions (Géométrie) Géométrie moderne. MATHEMATICS Geometry General. bisacsh Geometry, Modern fast Inversions (Geometry) fast Transformations (Mathématiques) ram Exercice géométrie. ram Shields, I. M., trad. Buehler, George H., illustrator. 0883856212 New mathematical library ; 21. http://id.loc.gov/authorities/names/n42017890 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=450507 Volltext |
| spellingShingle | I︠A︡glom, I. M. (Isaak Moiseevich), 1921-1988 Geometric transformations. New mathematical library ; ""Front Cover""; ""Title page ""; ""Copyright Page""; ""Note to the Reader""; ""Contents""; ""Translatorâ€?s Preface""; ""From the Authorâ€?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"" Inversions (Geometry) http://id.loc.gov/authorities/subjects/sh85067688 Geometry, Modern. http://id.loc.gov/authorities/subjects/sh85054152 Inversions (Géométrie) Géométrie moderne. MATHEMATICS Geometry General. bisacsh Geometry, Modern fast Inversions (Geometry) fast Transformations (Mathématiques) ram Exercice géométrie. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85067688 http://id.loc.gov/authorities/subjects/sh85054152 |
| title | Geometric transformations. |
| title_auth | Geometric transformations. |
| title_exact_search | Geometric transformations. |
| title_full | Geometric transformations. II / by I.M. Yaglom ; translated from the Russian by Allen Shields ; [ill. by George H. Buehler]. |
| title_fullStr | Geometric transformations. II / by I.M. Yaglom ; translated from the Russian by Allen Shields ; [ill. by George H. Buehler]. |
| title_full_unstemmed | Geometric transformations. II / by I.M. Yaglom ; translated from the Russian by Allen Shields ; [ill. by George H. Buehler]. |
| title_short | Geometric transformations. |
| title_sort | geometric transformations |
| topic | Inversions (Geometry) http://id.loc.gov/authorities/subjects/sh85067688 Geometry, Modern. http://id.loc.gov/authorities/subjects/sh85054152 Inversions (Géométrie) Géométrie moderne. MATHEMATICS Geometry General. bisacsh Geometry, Modern fast Inversions (Geometry) fast Transformations (Mathématiques) ram Exercice géométrie. ram |
| topic_facet | Inversions (Geometry) Geometry, Modern. Inversions (Géométrie) Géométrie moderne. MATHEMATICS Geometry General. Geometry, Modern Transformations (Mathématiques) Exercice géométrie. |
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