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 |
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 |
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 |
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]] |
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, > | ||
Washington : , : Mathematical Association of America, , 1967 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
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-9910817763703321 |
oxeter H. S. M (Harold Scott Macdonald), <1907-2003, > | ||
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 |
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. | ||
Moscou : MIR, 1982 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Méthodes modernes en géométrie / Jean Fresnel |
Autore | Fresnel, Jean |
Pubbl/distr/stampa | Paris : Hermann, c1996 |
Descrizione fisica | 408 p. : ill. ; 24 cm |
Disciplina | 516 |
Collana |
Formation des enseignants et formation continue
Actualités scientifiques et industrielles ; 1437 Collection Formation des enseignants et formation continue |
Soggetto topico | Geometry, Modern |
ISBN | 2705614370 |
Classificazione |
AMS 51-01
LC Q111.A3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | fre |
Record Nr. | UNISALENTO-991002809959707536 |
Fresnel, Jean | ||
Paris : Hermann, c1996 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Proceedings of the Workshop Contemporary Geometry and Related Topics [[electronic resource] ] : Belgrade, Yugoslavia, 15-21 May 2002 / / editors, Neda Bokan ... [et al.] |
Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2004 |
Descrizione fisica | 1 online resource (469 p.) |
Disciplina | 516/.04 |
Altri autori (Persone) | BokanNeda |
Soggetto topico |
Geometry, Modern
Topology |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-89908-9
9786611899080 981-270-308-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; V. V. Balashchenko Invariant Structures Generated by Lie Group Automorphisms on Homogeneous Spaces; M. B. Banaru On Kenmotsu Hypersurfaces in a Six-Dimensional Hermitian Submanifold of Cayley Algebra; N. Blazic and S. Vukmirovic Para-hypercomplex Structures on a Four-Dimensional Lie Group; A. V. Bolsinov and B. Jovanovic Integrable Geodesic Flows on Riemannian Manifolds: Construction and Obstructions; M. DjoriC and M. Okumura CR Submanifolds of Maximal CR Dimension in Complex Space Forms and Second Fundamental Form
M. Carmen Domingo-Juan and V. Miquel Pappus-Guldin's Formulae versus Weyl's Tube Formula: Old and Recent ResultsB. Dragovich Non-Archimedean Geometry and Physics on Adelic Spaces; B. Dragovich and Z. Rakic Lagrangian Aspects of Quantum Dynamics on a Noncommutative Space; M. Fernandez-Lopez, E. Garcia-Rio and D. N. Kupeli The Mobius Equation: A Local Analytical Characterization of Twisted Product Structures; M. Fernandez, V. Munoz and J. A . Santisteban Symplectically Aspherical Manifolds with Nontrivial 2 and with No Kahler Metrics A. T. Fomenko and P. V. Morozov Some New Results in Topological Classification of Integrable Systems in Rigid Body DynamicsF. Gavarini The Crystal Duality Principle: From General Symmetries to Geometrical Symmetries; Z. Hu and H. Li Willmore Submanifolds in a Riemannian Manifold; Dj. Kadijevich Some Aspects of Visualizing Geometric Knowledge: Possibilities, Findings, Further Research; V. P. Karassiov Dual Algebraic Pairs and Polynomial Lie Algebras in Quantum Physics: Foundations and Geometric Aspects.; E. Malkowsky and V. Velickovic Visualisation and Animation in Differential Geometry G. V. Nosovskiy Computer Gluing of 2D Projective ImagesA . A . Oshemkov On the Topological Structure of the Set of Singularities of Integrable Hamiltonian Systems; Th. Yu. Popelensky and Yu. P. Solovjev Lie-Cartan Pairs and Characteristic Classes in Noncommutative Geometry; S. Terzic On Rational Homotopy of Four-Manifolds; S. Trapani Dual Maps and Kobayashi Distance of Bounded Convex Domains in Cn; K. Trencevski Osculating Spaces and Higher Order Curvature Tensors of Submanifolds in Rm Lj. S. Velimirovic, S. M. Mincic and M. S. Stankovic On Commutativity of the Lie Derivative and Covariant Derivative at a Non-Symmetric Affine Connection SpaceL. Vrancken Special Classes of Three Dimensional Affine Hyperspheres Characterized by Properties of Their Cubic Form |
Record Nr. | UNINA-9910451335803321 |
River Edge, N.J., : World Scientific, c2004 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Proceedings of the Workshop Contemporary Geometry and Related Topics [[electronic resource] ] : Belgrade, Yugoslavia, 15-21 May 2002 / / editors, Neda Bokan ... [et al.] |
Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2004 |
Descrizione fisica | 1 online resource (469 p.) |
Disciplina | 516/.04 |
Altri autori (Persone) | BokanNeda |
Soggetto topico |
Geometry, Modern
Topology |
ISBN |
1-281-89908-9
9786611899080 981-270-308-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; V. V. Balashchenko Invariant Structures Generated by Lie Group Automorphisms on Homogeneous Spaces; M. B. Banaru On Kenmotsu Hypersurfaces in a Six-Dimensional Hermitian Submanifold of Cayley Algebra; N. Blazic and S. Vukmirovic Para-hypercomplex Structures on a Four-Dimensional Lie Group; A. V. Bolsinov and B. Jovanovic Integrable Geodesic Flows on Riemannian Manifolds: Construction and Obstructions; M. DjoriC and M. Okumura CR Submanifolds of Maximal CR Dimension in Complex Space Forms and Second Fundamental Form
M. Carmen Domingo-Juan and V. Miquel Pappus-Guldin's Formulae versus Weyl's Tube Formula: Old and Recent ResultsB. Dragovich Non-Archimedean Geometry and Physics on Adelic Spaces; B. Dragovich and Z. Rakic Lagrangian Aspects of Quantum Dynamics on a Noncommutative Space; M. Fernandez-Lopez, E. Garcia-Rio and D. N. Kupeli The Mobius Equation: A Local Analytical Characterization of Twisted Product Structures; M. Fernandez, V. Munoz and J. A . Santisteban Symplectically Aspherical Manifolds with Nontrivial 2 and with No Kahler Metrics A. T. Fomenko and P. V. Morozov Some New Results in Topological Classification of Integrable Systems in Rigid Body DynamicsF. Gavarini The Crystal Duality Principle: From General Symmetries to Geometrical Symmetries; Z. Hu and H. Li Willmore Submanifolds in a Riemannian Manifold; Dj. Kadijevich Some Aspects of Visualizing Geometric Knowledge: Possibilities, Findings, Further Research; V. P. Karassiov Dual Algebraic Pairs and Polynomial Lie Algebras in Quantum Physics: Foundations and Geometric Aspects.; E. Malkowsky and V. Velickovic Visualisation and Animation in Differential Geometry G. V. Nosovskiy Computer Gluing of 2D Projective ImagesA . A . Oshemkov On the Topological Structure of the Set of Singularities of Integrable Hamiltonian Systems; Th. Yu. Popelensky and Yu. P. Solovjev Lie-Cartan Pairs and Characteristic Classes in Noncommutative Geometry; S. Terzic On Rational Homotopy of Four-Manifolds; S. Trapani Dual Maps and Kobayashi Distance of Bounded Convex Domains in Cn; K. Trencevski Osculating Spaces and Higher Order Curvature Tensors of Submanifolds in Rm Lj. S. Velimirovic, S. M. Mincic and M. S. Stankovic On Commutativity of the Lie Derivative and Covariant Derivative at a Non-Symmetric Affine Connection SpaceL. Vrancken Special Classes of Three Dimensional Affine Hyperspheres Characterized by Properties of Their Cubic Form |
Record Nr. | UNINA-9910783919103321 |
River Edge, N.J., : World Scientific, c2004 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|