| Description |
1 online resource (1396 pages) |
| Series |
Culture and Civilization in the Middle East |
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Culture and civilisation in the Middle East.
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| Contents |
Cover; Half Title; Title Page; Copyright; Contents; Editor's Foreword; Preface; Note; Chapter I : Banū MūSā And The Calculation Of The Volume Of The Sphere And The Cylinder; 1.1. Introduction; 1.1.1. The Banū Mūsā: dignitaries and learned; 1.1.2. The Mathematical Works of the Banū Mūsā; 1.1.3. Treatise on the Measurement of Plane and Spherical Figures: a Latin Translation and a Rewritten Version by Al-Tūsī; 1.1.4. Title and Date of the Banū Mūsā Treatise; 1.2. Mathematical Commentary; 1.2.1. Organization and Structure of the Banū Mūsā book; 1.2.2. The Area of the Circle |
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1.2.3. The Area of the Triangle and Hero's formula1.2.4. The Surface Area of a Sphere and its Volume; 1.2.5. The Two-Means Problem and its Mechanical Construction; 1.2.6a. The Trisection of Angles and Pascal's Limaçon; 1.2.6b. Approximating Cubic Roots; 1.3. Translated Text: On The Knowledge Of The Measurement Of Plane And Spherical Figures; Chapter II: ThĀBit Ibn Qurra And His Works In Infinitesimal Mathematics; 2.1. Introduction; 2.1.1. Thābit Ibn Qurra: from Harrān to Baghdad; 2.1.2. The Works of Thābit Ibn Qurra in Infinitesimal Mathematics |
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2.1.3. History of the Texts and Their Translations2.2. Measuring The Parabola; 2.2.1. Organization and Structure of Ibn Qurra's treatise; 2.2.2. Mathematical Commentary; 2.2.2.1. Arithmetical Propositions; 2.2.2.2. Sequence of Segments and Bounding; 2.2.2.3. Calculation of the Area of a Portion of a Parabola; 2.2.3. Translated Text: On the Measurement of the Conic Section Called Parabola; 2.3. Measuring The Paraboloid; 2.3.1. Organization and structure of Ibn Qurra's treatise; 2.3.2. Mathematical Commentary; 2.3.2.1. Arithmetical Propositions; 2.3.2.2. Extension to Sequences of Segments |
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2.3.2.3. Volumes of Cones, Rhombuses and Other Solids2.3.2.4. Property of Four Segments; 2.3.2.5. Arithmetical Propositions; 2.3.2.6. Sequence of Segments and Bounding; 2.3.2.7. Calculation of the Volumes of Paraboloids; 2.3.2.8. Parallel Between the Treatise on the Area of the Parabola and the Treatise on the Volume of the Paraboloid; 2.3.3. Translated Text: On the Measurement of the Paraboloids; 2.4. On The Sections Of The Cylinder And Its Lateral Surface; 2.4.1. Introduction; 2.4.2. Mathematical Commentary; 2.4.2.1. Plane Sections of the Cylinder |
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2.4.2.2. Area of an Ellipse and Elliptical Sections2.4.2.3. Concerning the Maximal Section of the Cylinder and Concerning its Minimal Sections; 2.4.2.4. Concerning the Lateral Area of the Cylinder and the Lateral Area of Portions of the Cylinder Lying Between the Plane Sections Touching all Sides; 2.4.3. Translated Text: On the Sections of the Cylinder and its Lateral Surface; Chapter III: Ibn Sinān, Critique Of Al-Māhānī: The Area Of The Parabola; 3.1. Introduction; 3.1.1. Ibrāhīm Ibn Sinān: 'Heir' and 'Critic' |
| Summary |
In this unique insight into the history and philosophy of mathematics and science in the mediaeval Arab world, the eminent scholar Roshdi Rashed illuminates the various historical, textual and epistemic threads that underpinned the history of Arabic mathematical and scientific knowledge up to the seventeenth century. The first of five wide-ranging and comprehensive volumes, this book provides a detailed exploration of Arabic mathematics and sciences in the ninth and tenth centuries. Extensive and detailed analyses and annotations support a number of key Arabic texts, which are transla |
| Notes |
3.1.2. The Two Versions of The Measurement of the Parabola: Texts and Translations |
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Print version record |
| Subject |
Science -- Arab countries -- History
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Mathematics -- Arab countries -- History
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Science, Medieval.
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Mathematics, Medieval.
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Science -- Arab countries -- Philosophy -- History
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Mathematics -- Arab countries -- Philosophy -- History
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Mathematics
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Mathematics, Medieval
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Mathematics -- Philosophy
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Science
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Science, Medieval
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Science -- Philosophy
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Arab countries
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| Genre/Form |
History
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| Form |
Electronic book
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| Author |
El-Bizri, Nader
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| ISBN |
9781136620010 |
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113662001X |
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