Thirteen Books of the Elements, Vol. 1

Häftad, Engelska, 2000

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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.

Produktinformation

Utgivningsdatum2000-02-01
Mått132 x 201 x 20 mm
Vikt440 g
FormatHäftad
SpråkEngelska
SerieDover Books on MaTHEMA 1.4tics
Antal sidor464
Upplaga56002
FörlagDover Publications Inc.
ISBN9780486600888

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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 WORKSIII. GREEK COMMENTATORS OTHER THAN PROCLUS IV. PROCLUS AND HIS SOURCES V. THE TEXT VI. THE SCHOLIA VII. EUCLID IN ARABIAVIII. PRINCIPAL TRANSLATIONS AND EDITIONSIX.1. ON THE NATURE OF ELEMENTS 2. ELEMENTS ANTERIOR TO EUCLID'S3. "FIRST PRINCIPLES: DEFINITIONS, POSTULATES AND AXIOMS"4. THEOREMS AND PROBLEMS5. THE FORMAL DIVISIONS OF A PROPOSITION 6. OTHER TECHNICAL TERMS7. THE DEFINITIONSTHE ELEMENTS. "BOOK I. DEFINITIONS, POSTULATES, COMMON NOTIONS"NOTES ON DEFINITIONS ETCPROPOSITIONSBOOK II. DEFINITIONSNOTE ON GEOMETRICAL ALGEBRA PROPOSITIONSEXCURSUS I. PYTHAGORAS AND THE PYTHAGOREANS EXCURSUS II. POPULAR NAMES FOR EUCLIDEAN PROPOSITIONSGREEK INDEX TO VOL. I. ENGLISH INDEX TO VOL. 1.