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Geometric transformations . IV Circular transformations / / I.M. Yaglom ; translated by A. Shenitzer
| Geometric transformations . IV Circular transformations / / I.M. Yaglom ; translated by A. Shenitzer |
| Autore | IAglom I. M (Isaak Moiseevich), <1921-1988.> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, c2009 |
| Descrizione fisica | 1 online resource (viii, 285 pages) : digital, PDF file(s) |
| Disciplina | 511.3/3 |
| Altri autori (Persone) | ShenitzerAbe |
| Collana | Anneli Lax new mathematical library |
| Soggetto topico |
Inversions (Geometry)
Geometry, Modern |
| ISBN | 0-88385-958-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Reflections in a circle (inversion) -- Application of inversions to the solution of constructions -- Pencils of circles. The radical axis of two circles -- Inversion (concluding section) -- Axial circular transformations -- Non-Euclidean geometry of Lobachevskiĭ-Bolyai, or hyperbolic geometry -- Solutions. |
| Altri titoli varianti | Circular transformations |
| Record Nr. | UNINA-9910958498003321 |
IAglom I. M (Isaak Moiseevich), <1921-1988.>
|
||
| Washington, D.C., : Mathematical Association of America, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric transformations . I / / I.M. Yaglom ; translated from the Russian by Allen Shields
| Geometric transformations . I / / I.M. Yaglom ; translated from the Russian by Allen Shields |
| Autore | IAglom I. M (Isaak Moiseevich), <1921-1988.> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, 1975 |
| Descrizione fisica | 1 online resource (vii, 133 pages) : digital, PDF file(s) |
| Disciplina | 516.5 |
| Altri autori (Persone) | ShenitzerAbe |
| Collana | Anneli Lax new mathematical library |
| Soggetto topico |
Inversions (Geometry)
Geometry, Modern |
| ISBN | 0-88385-925-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front Cover -- Geometric Transformations I -- Copyright Page -- CONTENTS -- Translator's Preface -- From the Author's Preface -- Introduction. What is Geometry? -- Chapter I. Displacements -- 1. Translations -- 2. Half Turn and Rotation -- Chapter II. Symmetry -- 1. Reflection and Glide Reflection -- 2. Directly Congruent and Oppositely Congruent Figures. Classification of Isometries of the Plane -- Solutions -- Chapter One. Displacements -- Chapter Two. Symmetry. |
| Record Nr. | UNINA-9910954621203321 |
|
IAglom I. M (Isaak Moiseevich), <1921-1988.>
|
||
| Washington, D.C., : Mathematical Association of America, 1975 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric transformations . III / / by I.M. Yaglom ; translated from the Russian by A. Shenitzer
| Geometric transformations . III / / by I.M. Yaglom ; translated from the Russian by A. Shenitzer |
| Autore | IAglom I. M (Isaak Moiseevich), <1921-1988.> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, 1973 |
| Descrizione fisica | 1 online resource (viii, 237 pages) : digital, PDF file(s) |
| Disciplina | 516.5 |
| Altri autori (Persone) | ShenitzerAbe |
| Collana | Anneli Lax new mathematical library |
| Soggetto topico |
Inversions (Geometry)
Geometry, Modern |
| ISBN | 0-88385-939-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Altri titoli varianti | Geometric transformations 3 |
| Record Nr. | UNINA-9910957925303321 |
|
IAglom I. M (Isaak Moiseevich), <1921-1988.>
|
||
| Washington, D.C., : Mathematical Association of America, 1973 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric transformations . II / / by I.M. Yaglom ; translated by A. Shenitzer
| Geometric transformations . II / / by I.M. Yaglom ; translated by A. Shenitzer |
| Autore | IAglom I. M (Isaak Moiseevich), <1921-1988.> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, 1968 |
| Descrizione fisica | 1 online resource (xi, 189 pages) : digital, PDF file(s) |
| Disciplina | 516.04 |
| Altri autori (Persone) | ShenitzerAbe |
| Collana | Anneli Lax new mathematical library |
| Soggetto topico |
Inversions (Geometry)
Geometry, Modern |
| ISBN | 0-88385-936-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Record Nr. | UNINA-9910974505603321 |
|
IAglom I. M (Isaak Moiseevich), <1921-1988.>
|
||
| Washington, D.C., : Mathematical Association of America, 1968 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric transformations [[electronic resource] ] . IV Circular transformations / / I.M. Yaglom ; translated by A. Shenitzer
| Geometric transformations [[electronic resource] ] . IV Circular transformations / / I.M. Yaglom ; translated by A. Shenitzer |
| Autore | I͡Aglom I. M (Isaak Moiseevich), <1921-1988.> |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, c2009 |
| Descrizione fisica | 1 online resource (294 p.) |
| Disciplina | 516 |
| Altri autori (Persone) | ShenitzerAbe |
| Collana | Anneli Lax new mathematical library |
| Soggetto topico |
Inversions (Geometry)
Geometry, Modern |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-88385-958-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover ""; ""Title page ""; ""Contents""; ""1 Reflection in a circle (inversion)""; ""2 Application of inversionsto the solution of constructions""; ""Problems. Constructions with compass alone""; ""Problems involving the construction of circles""; ""Notes to Section 2""; ""3 Pencils of circles. The radical axis of two circles""; ""Notes to Section 3""; ""4 Inversion (concluding section)""; ""Notes to Section 4""; ""5 Axial circular transformations""; ""A. Dilatation""; ""B. Axial inversion""; ""Notes to Section 5""; ""Supplement""
""Non-Euclidean Geometry of Lobachevski-Bolyai, or Hyperbolic Geometry""""Notes to Supplement""; ""Solutions""; ""Section 1""; ""Section 2""; ""Section 3""; ""Section 4""; ""Notes to Section 4""; ""Section 5""; ""Notes to Section 5""; ""Supplement""; ""Notes to Supplement""; ""About the Author"" |
| Record Nr. | UNINA-9910461924803321 |
|
I͡Aglom I. M (Isaak Moiseevich), <1921-1988.>
|
||
| Washington, D.C., : Mathematical Association of America, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric transformations [[electronic resource] ] . I / / I.M. Yaglom ; translated from the Russian by Allen Shields
| Geometric transformations [[electronic resource] ] . I / / I.M. Yaglom ; translated from the Russian by Allen Shields |
| Autore | I͡Aglom I. M (Isaak Moiseevich), <1921-1988.> |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, 1975 |
| Descrizione fisica | 1 online resource (144 p.) |
| Disciplina | 516.5 |
| Altri autori (Persone) | ShenitzerAbe |
| Collana | Anneli Lax new mathematical library |
| Soggetto topico |
Inversions (Geometry)
Geometry, Modern |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-88385-925-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Front Cover""; ""Geometric Transformations I""; ""Copyright Page""; ""CONTENTS""; ""Translator�s Preface""; ""From the Author�s Preface""; ""Introduction. What is Geometry?""; ""Chapter I. Displacements""; ""1. Translations""; ""2. Half Turn and Rotation""; ""Chapter II. Symmetry""; ""1. Reflection and Glide Reflection""; ""2. Directly Congruent and Oppositely Congruent Figures. Classification of Isometries of the Plane""; ""Solutions""; ""Chapter One. Displacements""; ""Chapter Two. Symmetry"" |
| Record Nr. | UNINA-9910461925503321 |
|
I͡Aglom I. M (Isaak Moiseevich), <1921-1988.>
|
||
| Washington, D.C., : Mathematical Association of America, 1975 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric transformations [[electronic resource] ] . III / / by I.M. Yaglom ; translated from the Russian by A. Shenitzer
| Geometric transformations [[electronic resource] ] . III / / by I.M. Yaglom ; translated from the Russian by A. Shenitzer |
| Autore | I͡Aglom I. M (Isaak Moiseevich), <1921-1988.> |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, 1973 |
| Descrizione fisica | 1 online resource (246 p.) |
| Disciplina | 516.1 |
| Altri autori (Persone) | ShenitzerAbe |
| Collana | Anneli Lax new mathematical library |
| Soggetto topico |
Inversions (Geometry)
Geometry, Modern |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-88385-939-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" |
| Record Nr. | UNINA-9910465756103321 |
|
I͡Aglom I. M (Isaak Moiseevich), <1921-1988.>
|
||
| Washington, D.C., : Mathematical Association of America, 1973 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric transformations [[electronic resource] ] . II / / by I.M. Yaglom ; translated by A. Shenitzer
| Geometric transformations [[electronic resource] ] . II / / by I.M. Yaglom ; translated by A. Shenitzer |
| Autore | I͡Aglom I. M (Isaak Moiseevich), <1921-1988.> |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, 1968 |
| Descrizione fisica | 1 online resource (202 p.) |
| Disciplina | 516.1 |
| Altri autori (Persone) | ShenitzerAbe |
| Collana | Anneli Lax new mathematical library |
| Soggetto topico |
Inversions (Geometry)
Geometry, Modern |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-88385-936-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" |
| Record Nr. | UNINA-9910465753103321 |
|
I͡Aglom I. M (Isaak Moiseevich), <1921-1988.>
|
||
| Washington, D.C., : Mathematical Association of America, 1968 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry revisited / / by H.S.M. Coxeter and S.L. Greitzer [[electronic resource]]
| Geometry revisited / / by H.S.M. Coxeter and S.L. Greitzer [[electronic resource]] |
| Autore | oxeter H. S. M (Harold Scott Macdonald), <1907-2003, > |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 1967 |
| Descrizione fisica | 1 online resource (xiv, 193 pages) : digital, PDF file(s) |
| Disciplina | 516.04 |
| Collana | New mathematical library |
| Soggetto topico | Geometry, Modern |
| ISBN | 0-88385-934-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Front Cover""; ""Geometry Revisited""; ""Copyright Page""; ""Contents""; ""Preface""; ""Chapter 1. Points and Lines Connected with a Triangle""; ""1.1 The extended Law of Sines""; ""1.2 Ceva�s theorem""; ""1.3 Points of interest""; ""1.4 The incircle and excircles""; ""1.5 The Steiner-Lehmus theorem""; ""1.6 The orthic triangle""; ""1.7 The medial triangle and Euler line""; ""1.8 The nine-point Circle""; ""1.9 Pedal triangles""; ""Chapter 2. Some Properties of Circles""; ""2.1 The power of a point with respect to a circle""; ""2.2 The radical axis of two circles""; ""2.3 Coaxal circles""
""2.4 More on the altitudes and orthocenter of a triangle""""2.5 Simson lines""; ""2.6 Ptolemy�s theorem and its extension""; ""2.7 More on Simson lines""; ""2.8 The Butterfly""; ""2.9 Morley�s theorem""; ""Chapter 3. Collinearity and Concurrence""; ""3.1 Quadrangles; Varignon�s theorem""; ""3.2 Cyclic quadrangles; Brahmagupta�s formula""; ""3.3 Napoleon triangles""; ""3.4 Menelaus�s theorem""; ""3.5 Pappus�s theorem""; ""3.6 Perspective triangles; Desargues�s theorem""; ""3.7 Hexagons""; ""3.8 Pascal�s theorem""; ""3.9 Brianchon�s theorem"" ""Chapter 4. Transformations""""4.1 Translation""; ""4.2 Rotation""; ""4.3 Half-turn""; ""4.4 Reflection""; ""4.5 Fagnano�s problem""; ""4.6 The three jug problem""; ""4.7 Dilatation""; ""4.8 Spiral similarity""; ""4.9 A genealogy of transformations""; ""Chapter 5. An Introduction to Inversive Geometry""; ""5.1 Separation""; ""5.2 Cross ratio""; ""5.3 Inversion""; ""5.4 The inversive plane""; ""5.5 Orthogonality""; ""5.6 Feuerbach�s theorem""; ""5.7 Coaxal circles""; ""5.8 Inversive distance""; ""5.9 Hyperbolic functions""; ""Chapter 6. An Introduction to Projective Geometry"" ""6.1 Reciprocation""""6.2 The polar circle of a triangle""; ""6.3 Conics""; ""6.4 Focus and directrix""; ""6.5 The projective plane""; ""6.6 Central conics""; ""6.7 Stereographic and gnomonic projection""; ""Hints and Answers to Exercises""; ""References""; ""Glossary""; ""Index""; ""Back Cover"" |
| Record Nr. | UNINA-9910790364903321 |
|
oxeter H. S. M (Harold Scott Macdonald), <1907-2003, >
|
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| Washington : , : Mathematical Association of America, , 1967 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Géométrie contemporaine : méthodes et applications / B. Doubrovine, S. Novikov, A. Fomenko
| Géométrie contemporaine : méthodes et applications / B. Doubrovine, S. Novikov, A. Fomenko |
| Autore | Dubrovin, Boris A. |
| Pubbl/distr/stampa | Moscou : MIR, 1982 |
| Descrizione fisica | 2 v. : ill. ; 23 cm |
| Disciplina | 513.5 |
| Altri autori (Persone) |
Fomenko, Anatolij T
Novikov, Sergei Petrovich |
| Soggetto topico |
Geometry, Modern
Topology |
| Classificazione |
AMS 53-01
AMS 58-01 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Nota di contenuto |
Pt. 1.: Géométrie des surfaces, des groupes de transformations et des champs. - 438 p.
Pt. 2.: Géométrie et topologie des variétés. - 371 p. |
| Record Nr. | UNISALENTO-991002828479707536 |
|
Dubrovin, Boris A.
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| Moscou : MIR, 1982 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Soggetto topico
-
Geometry, Modern
(13)
- Inversions (Geometry) (8)
- Topology (3)