西方科学经典影印:阿基米德全集(英文)(精装)

INTRODUCTION CHAPTER I.ARCHIMEDES CHAPTER II.MANUSCRIPTS AND PRINCIPAL EDITIONS-ORDER OF COMPOSITION-DIALECT-LOST WORKS CHAPTER III.RELATION OF ARCHIMEDES TO HIS PREDECESSORS §1.Use of traditional geometrical methods . §2.Earlier discoveries affecting quadrature and cubature. §3.Conic Sections §4.Surfaces of the second degree §5.Two mean proportionals in continued propor-tion. CHAPTER IV.ARITHMETIC IN ARCHIMEDES §1.Greek numeral system §2.Addition and subtraction §3.Multiplication §4.Division §5.Extraction of the square root. §6.Early investigations of surds or incommensu-rables §7.Archimedes' approximations to 3. §8.Archimedes' approximations to the square rootsof large numbers which are not completesquares Note on alternative hypotheses with regard tothe approximations to /3 CHAPTER V.ON THE PROBLEMS KNOWN AS NEYSEIS §1.Neuσeis referred to by Archimedes §2.Mechanical constructions: the conchoid of Nico-medes §3.Pappus' solution of the veuσis referred to inProps. 8,9 On Spirals. §4.The problem of the two mean proportionals §5.The trisection of an angle §6.On certain pplane vEuσEis CHAPTER VI. CUBIC EQUATIONS CHAPTER VII. ANTICIPATIONS BY ARCHIMEDES OF THE INTE-GRAL CALCULUS CHAPTER VIII. THE TERMINOLOGY OF ARCHIMEDES THE WORKS OF ARCHIMEDES ON THE SPHERE AND CYLINDER,BOOK I.. BOOK II. MEASUREMENT OF A CIRCLE ON CONOIDS AND SPHEROIDS ON SPIRALS ON THE EQUILIBRIUM OF PLANES,BOOK I. BOOK II. THE SAND-RECKONER QUADRATURE OF THE PARABOLA ON FLOATING BODIES,BOOK I. BOOK II. BOOK OF LEMMAS. THE CATTLE-PROBLEM