Diophantos of Alexandria: A Study in the History of Greek Algebra |
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Page 4
... 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 Diophantos ' extant writings . It occurs in the fragment ...
... 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 Diophantos ' extant writings . It occurs in the fragment ...
Page 27
... natural conclusion to the whole , in that it is made up of exemplifications of methods explained and used in the pre- ceding Books . The subject is the finding of right - angled triangles in rational numbers , such that the sides ...
... natural conclusion to the whole , in that it is made up of exemplifications of methods explained and used in the pre- ceding Books . The subject is the finding of right - angled triangles in rational numbers , such that the sides ...
Page 34
... nature and properties in numbers " . " Now these " foundations " may surely well mean more than is given in the eleven definitions with which the treatise begins , and why should not the " properties of numbers " refer to the Porisms ...
... nature and properties in numbers " . " Now these " foundations " may surely well mean more than is given in the eleven definitions with which the treatise begins , and why should not the " properties of numbers " refer to the Porisms ...
Page 52
... nature ; a few passages he has left asterisked , in cases where correction could not be safely ventured upon . In spite however of Bachet's assurance I cannot help doubting the quality of his text in many places , though I have not seen ...
... nature ; a few passages he has left asterisked , in cases where correction could not be safely ventured upon . In spite however of Bachet's assurance I cannot help doubting the quality of his text in many places , though I have not seen ...
Page 58
... nature of the symbol of the text by the best writers . on Diophantos is that of Nesselmann and Cantor . Both authors tell us that the final sigma is used to denote the unknown quantity representing apieμós , the complete word for it ...
... nature of the symbol of the text by the best writers . on Diophantos is that of Nesselmann and Cantor . Both authors tell us that the final sigma is used to denote the unknown quantity representing apieμós , the complete word for it ...
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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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