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PREFACE TO THE DOVER EDITION FOREWORD A GUIDE FOR READERS A. Internal Organization B. Bibliographical Details C. Abbreviations D. Symbols E. Dates F. Quotations from Primary Sources INTRODUCTION CHAPTER I. THE EUCLIDEAN ... celý popis
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PREFACE TO THE DOVER EDITION FOREWORD A GUIDE FOR READERS A. Internal Organization B. Bibliographical Details C. Abbreviations D. Symbols E. Dates F. Quotations from Primary Sources INTRODUCTION CHAPTER I. THE EUCLIDEAN TEXT Section 1. The Text Section 2. An Examination of the Euclidean Text A. Preliminary Observations B. A Proposal Concerning the Origin of DEMR C. "Theorem XIII,8" D. "Theorems XIII,1-5" E. Stages in the Development of DEMR in Book XIII CHAPTER II. MATHEMATICAL TOPICS Section 3. Complements and the Gnomon Section 4. Transformation of Areas "Section 5. Geometrical Algebra, Application of Areas, and Solutions of Equations" A. Geometrical Algebra-Level 1 B. Geometrical Algebra-Level 2 C. Application of Areas-Level 3 D. Historical References E. Setting Out the Debate F. Other Interpretations in Terms of Equations G. Problems in Interpretation H. Division of Figures I. "Theorems VI,28,29 vs II,5,6" J. Euclid's Data K. "Theorem II,11" L. "II,11-Application of Areas, Various Views" i. Szabó ii. Junge iii. Valabrega-Gibellato Section 6. Side and Diagonal Numbers Section 7. Incommensurability "Section 8. The Euclidean Algorithm, Anthyphairesis, and Continued Fractions" "CHAPTER III. EXAMPLES OF THE PENTAGON, PENTAGRAM, AND DODECAHEDRON BEFORE -400" Section 9. Examples before Pythagoras (before c. -550) A. Prehistoric Egypt B. Prehistoric Mesopotamia C. Sumerian and Akkadian Cuneiform Ideograms i. Fu
Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics History of mathematics
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