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The Thirteen Books of the Elements, Vol. 1 by Euclid
Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical apparatus analyzing each definition, postulate, and proposition in great detail. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 1 includes Introduction, Books 1-2: Triangles, rectangles.
Table of Contents for The Thirteen Books of the Elements, Vol. 1
| VOLUME I. | | INTRODUCTION. | | FACSIMILE OF A PAGE OF THE BODLEIAN MS. OF THE ELEMENTS. Frontispiece | | I. EUCLID AND THE TRADITIONS ABOUT HIM | | II. EUCLID'S OTHER WORKS | | III. GREEK COMMENTATORS OTHER THAN PROCLUS | | IV. PROCLUS AND HIS SOURCES | | V. THE TEXT | | VI. THE SCHOLIA | | VII. EUCLID IN ARABIA | | VIII. PRINCIPAL TRANSLATIONS AND EDITIONS | | IX. | | 1. ON THE NATURE OF ELEMENTS | | 2. ELEMENTS ANTERIOR TO EUCLID'S | | 3. "FIRST PRINCIPLES: DEFINITIONS, POSTULATES AND AXIOMS" | | 4. THEOREMS AND PROBLEMS | | 5. THE FORMAL DIVISIONS OF A PROPOSITION | | 6. OTHER TECHNICAL TERMS | | 7. THE DEFINITIONS | | THE ELEMENTS. | | "BOOK I. DEFINITIONS, POSTULATES, COMMON NOTIONS" | | NOTES ON DEFINITIONS ETC | | PROPOSITIONS | | BOOK II. DEFINITIONS | | NOTE ON GEOMETRICAL ALGEBRA | | PROPOSITIONS | | EXCURSUS I. PYTHAGORAS AND THE PYTHAGOREANS | | EXCURSUS II. POPULAR NAMES FOR EUCLIDEAN PROPOSITIONS | | GREEK INDEX TO VOL. I. | | ENGLISH INDEX TO VOL. 1. |
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