Diophantos of Alexandria: A Study in the History of Greek Algebra |
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Page viii
... dans Pappus ...... ( Bordeaux Memoirs , 1880. ) ROSEN , The Algebra of Mohammed ben Musa . HEIBERG , Quaestiones Archimedeae . Hauniae , 1879 . CONTENTS . CHAPTER I. HISTORICAL INTRODUCTION . § 1. Diophantos viii LIST OF AUTHORITIES .
... dans Pappus ...... ( Bordeaux Memoirs , 1880. ) ROSEN , The Algebra of Mohammed ben Musa . HEIBERG , Quaestiones Archimedeae . Hauniae , 1879 . CONTENTS . CHAPTER I. HISTORICAL INTRODUCTION . § 1. Diophantos viii LIST OF AUTHORITIES .
Page ix
... INTRODUCTION . § 1. Diophantos ' name and particulars of his life § 2. His date . Different views ( a ) Internal evidence considered ( b ) External evidence § 3. Results of the preceding investigation CHAPTER II . PAGES 1 3 4-8 • 8-16 ...
... INTRODUCTION . § 1. Diophantos ' name and particulars of his life § 2. His date . Different views ( a ) Internal evidence considered ( b ) External evidence § 3. Results of the preceding investigation CHAPTER II . PAGES 1 3 4-8 • 8-16 ...
Page x
... Introduction 57 § 2 . Sign for the unknown quantity discussed 57-67 § 3 . Notation for powers of the unknown 67-69 § 4 . Objection that Diophantos loses generality by the want of more algebraic symbols answered 69 · Other questions of ...
... Introduction 57 § 2 . Sign for the unknown quantity discussed 57-67 § 3 . Notation for powers of the unknown 67-69 § 4 . Objection that Diophantos loses generality by the want of more algebraic symbols answered 69 · Other questions of ...
Page xi
... . Arithmetics . Book I. 163-171 Book II . 172-181 Book III . 181-189 Book IV . Book V. Book VI . Polygonal Numbers 189-208 • 209-224 225-237 • 238-244 DIOPHANTOS OF ALEXANDRIA . CHAPTER I. HISTORICAL INTRODUCTION . § CONTENTS . xi.
... . Arithmetics . Book I. 163-171 Book II . 172-181 Book III . 181-189 Book IV . Book V. Book VI . Polygonal Numbers 189-208 • 209-224 225-237 • 238-244 DIOPHANTOS OF ALEXANDRIA . CHAPTER I. HISTORICAL INTRODUCTION . § CONTENTS . xi.
Page 1
... INTRODUCTION . § 1. THE doubts about Diophantos begin , as has been remarked by Cossali ' , with his very name . It cannot be posi- tively decided whether his name was Diophantos or Diophantes . The preponderance , however , of ...
... INTRODUCTION . § 1. THE doubts about Diophantos begin , as has been remarked by Cossali ' , with his very name . It cannot be posi- tively decided whether his name was Diophantos or Diophantes . The preponderance , however , of ...
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Common terms and phrases
Abu'l-Wafa Algebra Alkarkhi Arabian Arithmetics Assume Ave Maria Lane Ax² Bachet Bombelli C. J. CLAY Cambridge University Press CLAY & SONS coefficients College commentary condition Cossali Crown 8vo cube Demy 8vo difference Diophantos edition Editor English equal Fellow Fermat final sigma find a right-angled find three numbers find two numbers fraction given number given ratio gives Greek Hence hypotenuse Hypsikles indeterminate equations LL.D Maximus Planudes mentioned method Mohammed ibn Mūsā multiplied Nesselmann Nikomachos notation Notes phantos Polygonal Numbers Porisms problem Professor quadratic Regiomontanus remark required number result right-angled triangle roots side solution solved square number St John's College subtract Suidas symbol Tannery term Theon of Alexandria third translation treatise Trinity College University of Cambridge University Press Warehouse unknown quantity whence words write Xylander δὲ εἰς ἐν καὶ τὰ τὸ τοῦ τῶν
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