Diophantos of Alexandria: A Study in the History of Greek Algebra |
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Page ix
... evidence considered ( b ) External evidence § 3. Results of the preceding investigation CHAPTER II . PAGES 1 3 4-8 • 8-16 • 16-17 THE WORKS OF DIOPHANTOS ; THEIR TITLES AND GENERAL CONTENTS ; THE PORTIONS WHICH SURVIVE . § 1. Titles ...
... evidence considered ( b ) External evidence § 3. Results of the preceding investigation CHAPTER II . PAGES 1 3 4-8 • 8-16 • 16-17 THE WORKS OF DIOPHANTOS ; THEIR TITLES AND GENERAL CONTENTS ; THE PORTIONS WHICH SURVIVE . § 1. Titles ...
Page xi
... evidence of his language § 5 . Wallis ' theory of Greek Algebra § 6 . $ 7 . Comparison of Diophantos with his Greek predecessors § 8. Discussion in this connection of the Cattle - problem . CHAPTER VIII . PAGES . 121-125 125-132 • • 127 ...
... evidence of his language § 5 . Wallis ' theory of Greek Algebra § 6 . $ 7 . Comparison of Diophantos with his Greek predecessors § 8. Discussion in this connection of the Cattle - problem . CHAPTER VIII . PAGES . 121-125 125-132 • • 127 ...
Page 2
... evidence , it will be well to give the only facts which are known of his personal history , and which can be gathered from an arithmetical epigram upon Diophantos . This epigram , the probable date of which it will be necessary to ...
... evidence , it will be well to give the only facts which are known of his personal history , and which can be gathered from an arithmetical epigram upon Diophantos . This epigram , the probable date of which it will be necessary to ...
Page 4
... evidence of the date of Diophantos . ( 1 ) It would be natural to hope to find , under this head , references to the works of earlier or contemporary mathema- ticians . Unfortunately there is only one such reference trace- able in ...
... evidence of the date of Diophantos . ( 1 ) It would be natural to hope to find , under this head , references to the works of earlier or contemporary mathema- ticians . Unfortunately there is only one such reference trace- able in ...
Page 6
... evidence as in any way trustworthy , even if it were not contradicted by the evidence before adduced on the other side . We may say then with certainty that Hypsikles , and there- fore a fortiori Diophantos , cannot have written before ...
... evidence as in any way trustworthy , even if it were not contradicted by the evidence before adduced on the other side . We may say then with certainty that Hypsikles , and there- fore a fortiori Diophantos , cannot have written before ...
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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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