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基本説明
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.
Full Description
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. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations, and historical notes. Vol. 1 includes Introduction, Books I and II of Elements, lines, angles, intersections, etc.
Contents
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.
