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[null,"1.","Record Nr.",null,"UNINA9910155542703321"]
[null,null,"Autore",null,"Pons Odile"]
[null,null,"Titolo",null,"Inequalities in analysis and probability / / by Odile Pons (French National Institute for Agronomical Research, France)"]
[null,null,"Pubbl/distr/stampa",null,"New Jersey : , : World Scientific, , 2017"]
[{"$nulls":4},"©2017"]
[null,null,"Edizione",null,"[Second edition.]"]
[null,null,"Descrizione fisica",null,"1 online resource (309 pages)"]
[null,null,"Disciplina",null,"512.9/7"]
[null,null,"Soggetti",null,"Inequalities (Mathematics)"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,"2.","Record Nr.",null,"UNINA9910790364903321"]
[null,null,"Autore",null,"oxeter H. S. M (Harold Scott Macdonald), <1907-2003, >"]
[null,null,"Titolo",null,"Geometry revisited / / by H.S.M. Coxeter and S.L. Greitzer [[electronic resource]]"]
[null,null,"Pubbl/distr/stampa",null,"Washington : , : Mathematical Association of America, , 1967"]
[null,null,"ISBN",null,"0-88385-934-3"]
[null,null,"Descrizione fisica",null,"1 online resource (xiv, 193 pages) : digital, PDF file(s)"]
[null,null,"Collana",null,"New mathematical library ; ; 19"]
[null,null,"Disciplina",null,"516.04"]
[null,null,"Soggetti",null,"Geometry, Modern"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Title from publisher's bibliographic system (viewed on 31 May 2016)."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"\"\"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 Cevaâ€?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\"\""]
[{"$nulls":4},"\"\"2.4 More on the altitudes and orthocenter of a triangle\"\"\"\"2.5 Simson lines\"\"; \"\"2.6 Ptolemyâ€?s theorem and its extension\"\"; \"\"2.7 More on Simson lines\"\"; \"\"2.8 The Butterfly\"\"; \"\"2.9 Morleyâ€?s theorem\"\"; \"\"Chapter 3. Collinearity and Concurrence\"\"; \"\"3.1 Quadrangles;  Varignonâ€?s theorem\"\"; \"\"3.2 Cyclic quadrangles;  Brahmaguptaâ€?s formula\"\"; \"\"3.3 Napoleon triangles\"\"; \"\"3.4 Menelausâ€?s theorem\"\"; \"\"3.5 Pappusâ€?s theorem\"\"; \"\"3.6 Perspective triangles;  Desarguesâ€?s theorem\"\"; \"\"3.7 Hexagons\"\"; \"\"3.8 Pascalâ€?s theorem\"\"; \"\"3.9 Brianchonâ€?s theorem\"\""]
[{"$nulls":4},"\"\"Chapter 4. Transformations\"\"\"\"4.1 Translation\"\"; \"\"4.2 Rotation\"\"; \"\"4.3 Half-turn\"\"; \"\"4.4 Reflection\"\"; \"\"4.5 Fagnanoâ€?s problem\"\"; \"\"4.6 The three jug problem\"\"; \"\"4.7 Dilatation\"\"; \"\"4.8 Spiral similarity\"\"; \"\"4.9 A genealogy of transformations\"\"; \"\"Chapter 5. An Introduction to Inversive Geometry\"\"; \"\"5.1 Separation\"\"; \"\"5.2 Cross ratio\"\"; \"\"5.3 Inversion\"\"; \"\"5.4 The inversive plane\"\"; \"\"5.5 Orthogonality\"\"; \"\"5.6 Feuerbachâ€?s theorem\"\"; \"\"5.7 Coaxal circles\"\"; \"\"5.8 Inversive distance\"\"; \"\"5.9 Hyperbolic functions\"\"; \"\"Chapter 6. An Introduction to Projective Geometry\"\""]
[{"$nulls":4},"\"\"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\"\""]
[null,null,null,"Sommario/riassunto","Among the many beautiful and nontrivial theorems in geometry found here are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed."]