TABLE OF CONTENTS
Page 10-15
PREFACE TO THE DOVER EDITION
Page 16-17
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A GUIDE FOR READERS
Page 20-23
-----A. Internal Organization
Page 20-20
-----B. Bibliographical Details
Page 20-20
-----C. Abbreviations
Page 21-21
-----D. Symbols
Page 21-21
-----F. Quotations from Primary Sources
Page 22-23
CHAPTER I. THE EUCLIDEAN TEXT
Page 29-57
-----Section 1. The Text
Page 29-47
-----Section 2. An Examination of the Euclidean Text
Page 48-57
CHAPTER II. MATHEMATICAL TOPICS
Page 58-74
-----Section 3. Complements and the Gnomon
Page 58-58
-----Section 4. Transformation of Areas
Page 59-59
-----Section 5. Geometrical Algebra, Application of Areas, and Solutions of Equations
Page 60-70
-----Section 6. Side and Diagonal Numbers
Page 71-71
-----Section 7. Incommensurability
Page 72-72
-----Section 8. The Euclidean Algorithm, Anthyphairesis, and Continued Fractions
Page 73-74
CHAPTER III. EXAMPLES OF THE PENTAGON, PENTAGRAM, AND DODECAHEDRON BEFORE –400
Page 75-85
-----Section 9. Examples before Pythagoras (before c. –550)
Page 76-80
-----Section 10. From Pythagoras until –400
Page 81-85
CHAPTER IV. THE PYTHAGOREANS
Page 86-96
-----i. Pythagoras
Page 87-87
-----ii. Hippasus
Page 87-87
-----iii. Hippocrates of Chios
Page 87-87
-----iv. Theodorus of Cyrene
Page 87-87
-----v. Archytas
Page 87-87
-----Section 11. Ancient References to the Pythagoreans
Page 88-90
-----Section 12. Theories Linking DEMR with the Pythagoreans
Page 91-96
CHAPTER V. MISCELLANEOUS THEORIES
Page 97-99
-----Section 13. Miscellaneous Theories
Page 97-98
-----Section 14. Theorems XIII,1-5
Page 99-99
CHAPTER VI. THE CLASSICAL PERIOD: FROM THEODORUS TO EUCLID
Page 100-122
-----Section 15. Theodorus
Page 100-100
-----Section 16. Plato
Page 101-108
-----Section 17. Leodamas of Thasos
Page 109-109
-----Section 18. Theaetetus
Page 109-111
-----Section 19. Speusippus
Page 112-112
-----Section 20. Eudoxus
Page 113-117
-----Section 21. Euclid
Page 118-118
-----Section 22. Some Views on the Historical Development of DEMR
Page 118-122
CHAPTER VII. THE POST-EUCLIDEAN GREEK PERIOD (c. –300 to 350)
Page 123-143
-----Section 23. Archimedes
Page 123-124
-----Section 24. The Supplement to the Elements
Page 125-130
-----Section 25. Hero
Page 131-135
-----Section 26. Ptolemy
Page 136-137
-----Section 27. Pappus
Page 138-143
CHAPTER VIII. THE ARABIC WORLD, INDIA, AND CHINA
Page 144-156
-----Section 28. The Arabic Period
Page 144-153
-----Section 29. India
Page 154-155
-----Section 30. China
Page 156-156
CHAPTER IX. EUROPE: FROM THE MIDDLE AGES THROUGH THE EIGHTEENTH CENTURY
Page 157-186
-----Section 31. Europe Through the 16th Century
Page 157-181
-----Section 32. The 17th and 18th Centuries
Page 182-185
-----By Way of a Conclusion
Page 186-186
APPENDIX I. "A PROPORTION BY ANY OTHER NAME": TERMINOLOGY FOR DIVISION IN EXTREME AND MEAN RATIO THROUGHOUT THE AGES
Page 187-193
-----A. "Extreme and Mean Ratio"
Page 187-188
-----B. "Middle and Two Ends"
Page 189-189
-----C. Names for DEMR
Page 190-193
APPENDIX II. "MIRABLIS... EST POTENTIA ...": THE GROWTH OF AN IDEA
Page 194-198
CORRECTIONS AND ADDITIONS
Page 199-202
BIBLIOGRAPHY
Page 203-218
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