Geometric transformations III /:
This book is the sequel to Geometric Transformations I and II, volumes 8 and 21 in this series, but can be studies independently. It is devoted to the treatment of affine and projective transformations of the plane these transformations include the congruencies and similarities investigated in the p...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English Russian |
| Veröffentlicht: |
[Washington, D.C.] :
Mathematical Association of America,
©1973.
|
| Schriftenreihe: | New mathematical library ;
24. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book is the sequel to Geometric Transformations I and II, volumes 8 and 21 in this series, but can be studies independently. It is devoted to the treatment of affine and projective transformations of the plane these transformations include the congruencies and similarities investigated in the previous volumes. The simple text and the many problems are designed mainly to show how the principles of affine and projective geometry may be used to furnish relatively simple solutions of large classes of problems in elementary geometry, including some straight edge construction problems. In the Supplement, the reader is introduced to hyperbolic geometry. The latter part of the book consists of detailed solutions of the problems posed throughout the text. |
| Beschreibung: | Title from PDF title page (viewed on May 31, 2012). |
| Beschreibung: | 1 online resource : illustrations |
| ISBN: | 9780883859391 0883859394 0883856247 9780883856246 |
Internformat
MARC
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| 245 | 1 | 0 | |a Geometric transformations III / |c by I.M. Yaglom ; translated from the Russian by A. Shenitzer. |
| 260 | |a [Washington, D.C.] : |b Mathematical Association of America, |c ©1973. | ||
| 300 | |a 1 online resource : |b illustrations | ||
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| 490 | 1 | |a New mathematical library ; |v 24 | |
| 500 | |a Title from PDF title page (viewed on May 31, 2012). | ||
| 505 | 0 | |a ""Front Cover""; ""Title page ""; ""Copyright Page""; ""Contents""; ""Translator�s Preface""; ""From the Author�s Preface""; ""Introduction. What is Geometry? (Final Essay)""; ""Chapter I. Affine and Projective Transformations (Affinities and Projectivities)""; ""1. Parallel projection of a plane onto a plane. Affine transformations of the plane""; ""2. Central projection of a plane onto a plane. Projective transformations of a plane""; ""3. Central projections which carry a circle into a circle. Stereographic projections"" | |
| 505 | 8 | |a ""4. Reciprocation (polarity) of the plane. Principle of duality""""5. Projective transformation of a line and a circle. Straightedge construction""; ""Supplement.""; ""Non-Euclidean Geometry of Lobachevsky-Bolyai (Hyperbolic Geometry)""; ""Solutions.""; ""Chapter One. Affine and projective transformations""; ""Supplement. Hyperbolic geometry"" | |
| 520 | |a This book is the sequel to Geometric Transformations I and II, volumes 8 and 21 in this series, but can be studies independently. It is devoted to the treatment of affine and projective transformations of the plane these transformations include the congruencies and similarities investigated in the previous volumes. The simple text and the many problems are designed mainly to show how the principles of affine and projective geometry may be used to furnish relatively simple solutions of large classes of problems in elementary geometry, including some straight edge construction problems. In the Supplement, the reader is introduced to hyperbolic geometry. The latter part of the book consists of detailed solutions of the problems posed throughout the text. | ||
| 546 | |a English. | ||
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| author | I︠A︡glom, I. M. (Isaak Moiseevich), 1921-1988 |
| author2 | Shenitzer, Abe |
| author2_role | |
| author2_variant | a s as |
| author_GND | http://id.loc.gov/authorities/names/n80067373 http://id.loc.gov/authorities/names/n88015758 |
| author_facet | I︠A︡glom, I. M. (Isaak Moiseevich), 1921-1988 Shenitzer, Abe |
| author_role | |
| author_sort | I︠A︡glom, I. M. 1921-1988 |
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| contents | ""Front Cover""; ""Title page ""; ""Copyright Page""; ""Contents""; ""Translator�s Preface""; ""From the Author�s Preface""; ""Introduction. What is Geometry? (Final Essay)""; ""Chapter I. Affine and Projective Transformations (Affinities and Projectivities)""; ""1. Parallel projection of a plane onto a plane. Affine transformations of the plane""; ""2. Central projection of a plane onto a plane. Projective transformations of a plane""; ""3. Central projections which carry a circle into a circle. Stereographic projections"" ""4. Reciprocation (polarity) of the plane. Principle of duality""""5. Projective transformation of a line and a circle. Straightedge construction""; ""Supplement.""; ""Non-Euclidean Geometry of Lobachevsky-Bolyai (Hyperbolic Geometry)""; ""Solutions.""; ""Chapter One. Affine and projective transformations""; ""Supplement. Hyperbolic geometry"" |
| ctrlnum | (OCoLC)794558748 |
| dewey-full | 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 |
| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| genre | Electronic books. Problems and exercises fast |
| genre_facet | Electronic books. Problems and exercises |
| id | ZDB-4-EBA-ocn794558748 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:18:25Z |
| institution | BVB |
| isbn | 9780883859391 0883859394 0883856247 9780883856246 |
| language | English Russian |
| oclc_num | 794558748 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Mathematical Association of America, |
| record_format | marc |
| 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 III / by I.M. Yaglom ; translated from the Russian by A. Shenitzer. [Washington, D.C.] : Mathematical Association of America, ©1973. 1 online resource : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda New mathematical library ; 24 Title from PDF title page (viewed on May 31, 2012). ""Front Cover""; ""Title page ""; ""Copyright Page""; ""Contents""; ""Translatorâ€?s Preface""; ""From the Authorâ€?s Preface""; ""Introduction. What is Geometry? (Final Essay)""; ""Chapter I. Affine and Projective Transformations (Affinities and Projectivities)""; ""1. Parallel projection of a plane onto a plane. Affine transformations of the plane""; ""2. Central projection of a plane onto a plane. Projective transformations of a plane""; ""3. Central projections which carry a circle into a circle. Stereographic projections"" ""4. Reciprocation (polarity) of the plane. Principle of duality""""5. Projective transformation of a line and a circle. Straightedge construction""; ""Supplement.""; ""Non-Euclidean Geometry of Lobachevsky-Bolyai (Hyperbolic Geometry)""; ""Solutions.""; ""Chapter One. Affine and projective transformations""; ""Supplement. Hyperbolic geometry"" This book is the sequel to Geometric Transformations I and II, volumes 8 and 21 in this series, but can be studies independently. It is devoted to the treatment of affine and projective transformations of the plane these transformations include the congruencies and similarities investigated in the previous volumes. The simple text and the many problems are designed mainly to show how the principles of affine and projective geometry may be used to furnish relatively simple solutions of large classes of problems in elementary geometry, including some straight edge construction problems. In the Supplement, the reader is introduced to hyperbolic geometry. The latter part of the book consists of detailed solutions of the problems posed throughout the text. English. Geometry, Modern Plane. http://id.loc.gov/authorities/subjects/sh85054153 Geometry Problems, exercises, etc. http://id.loc.gov/authorities/subjects/sh85054136 Géométrie plane. Géométrie Problèmes et exercices. MATHEMATICS Geometry General. bisacsh Geometry fast Geometry, Modern Plane fast Geometria elementar. larpcal Transformations (mathématiques) ram Electronic books. Problems and exercises fast Shenitzer, Abe. http://id.loc.gov/authorities/names/n88015758 Print version: Yaglom, I. M. Geometric Transformations III. Washington : Mathematical Association of America Jan. 1973 (DLC) 72005702 New mathematical library ; 24. 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=450508 Volltext |
| spellingShingle | I︠A︡glom, I. M. (Isaak Moiseevich), 1921-1988 Geometric transformations III / New mathematical library ; ""Front Cover""; ""Title page ""; ""Copyright Page""; ""Contents""; ""Translatorâ€?s Preface""; ""From the Authorâ€?s Preface""; ""Introduction. What is Geometry? (Final Essay)""; ""Chapter I. Affine and Projective Transformations (Affinities and Projectivities)""; ""1. Parallel projection of a plane onto a plane. Affine transformations of the plane""; ""2. Central projection of a plane onto a plane. Projective transformations of a plane""; ""3. Central projections which carry a circle into a circle. Stereographic projections"" ""4. Reciprocation (polarity) of the plane. Principle of duality""""5. Projective transformation of a line and a circle. Straightedge construction""; ""Supplement.""; ""Non-Euclidean Geometry of Lobachevsky-Bolyai (Hyperbolic Geometry)""; ""Solutions.""; ""Chapter One. Affine and projective transformations""; ""Supplement. Hyperbolic geometry"" Geometry, Modern Plane. http://id.loc.gov/authorities/subjects/sh85054153 Geometry Problems, exercises, etc. http://id.loc.gov/authorities/subjects/sh85054136 Géométrie plane. Géométrie Problèmes et exercices. MATHEMATICS Geometry General. bisacsh Geometry fast Geometry, Modern Plane fast Geometria elementar. larpcal Transformations (mathématiques) ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85054153 http://id.loc.gov/authorities/subjects/sh85054136 |
| title | Geometric transformations III / |
| title_auth | Geometric transformations III / |
| title_exact_search | Geometric transformations III / |
| title_full | Geometric transformations III / by I.M. Yaglom ; translated from the Russian by A. Shenitzer. |
| title_fullStr | Geometric transformations III / by I.M. Yaglom ; translated from the Russian by A. Shenitzer. |
| title_full_unstemmed | Geometric transformations III / by I.M. Yaglom ; translated from the Russian by A. Shenitzer. |
| title_short | Geometric transformations III / |
| title_sort | geometric transformations iii |
| topic | Geometry, Modern Plane. http://id.loc.gov/authorities/subjects/sh85054153 Geometry Problems, exercises, etc. http://id.loc.gov/authorities/subjects/sh85054136 Géométrie plane. Géométrie Problèmes et exercices. MATHEMATICS Geometry General. bisacsh Geometry fast Geometry, Modern Plane fast Geometria elementar. larpcal Transformations (mathématiques) ram |
| topic_facet | Geometry, Modern Plane. Geometry Problems, exercises, etc. Géométrie plane. Géométrie Problèmes et exercices. MATHEMATICS Geometry General. Geometry Geometry, Modern Plane Geometria elementar. Transformations (mathématiques) Electronic books. Problems and exercises |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=450508 |
| work_keys_str_mv | AT iaglomim geometrictransformationsiii AT shenitzerabe geometrictransformationsiii |