| CHAPTER I.ARCHIMEDES CHAPTER II.MANUSCR1TTS 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 roots of large numbers which are not complete squares Note on alternative hypotheses with regard to the approximations to ,/3 CHAPTER V.ON THE PROBLEMS KNOWN AS NEYEI 1.NEVOELS referred to by Archimedes 2.Mechanical constructions: the conchoid of Nice-medes 3.Pappus' solution of the VEVPLS referred to in Props.8, 9 On Spirals 4.The problem of the two mean proportionals 5.The trisection of an angle 6.On certain plane VEVOELS CHAPTER VI.CUBIC EQUATIONS CHAPTER VII.ANTICIPATIONS BY ARCHIMEDES OF THE INTE-GRAL CALCULUS CHAPTER VIII.THE TERMINOLOGY OF ARCHIMEDES |
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