Diophantos of Alexandria: A Study in the History of Greek Algebra |
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Page 3
... means of judg- ing at what time of life he would be likely to write his Arithmetics . § 2. The most important statements upon the date of Diophantos which we possess are the following : ( 1 ) Abu'lfaraj , whom Cossali calls " the ...
... means of judg- ing at what time of life he would be likely to write his Arithmetics . § 2. The most important statements upon the date of Diophantos which we possess are the following : ( 1 ) Abu'lfaraj , whom Cossali calls " the ...
Page 6
... means of determining the date of the Arithmetics , by M. Paul Tannery ' . The enunciation of this problem , which is different from all the rest in that ( a ) it is in the form of an epigram , ( b ) it introduces numbers in the concrete ...
... means of determining the date of the Arithmetics , by M. Paul Tannery ' . The enunciation of this problem , which is different from all the rest in that ( a ) it is in the form of an epigram , ( b ) it introduces numbers in the concrete ...
Page 15
... mean , of course , inscrr . later than the introduction of , before which time one sign was necessarily used for both letters . Further , I lay no stress upon this fact except as an illustration . sufficiently near in point of time to ...
... mean , of course , inscrr . later than the introduction of , before which time one sign was necessarily used for both letters . Further , I lay no stress upon this fact except as an illustration . sufficiently near in point of time to ...
Page 16
... means of the supposed chronological order ; for the definitions of rhythm given by Nikomachos and Diophantos ( ? ) are very nearly alike , that of Diophantos being apparently a development of that of Nikomachos : κατὰ δὲ Νικόμαχον ...
... means of the supposed chronological order ; for the definitions of rhythm given by Nikomachos and Diophantos ( ? ) are very nearly alike , that of Diophantos being apparently a development of that of Nikomachos : κατὰ δὲ Νικόμαχον ...
Page 23
... means by which lost portions of Diophan- tos might have been preserved , though not found in the original text as it has come down to us . We owe the recovery of some Greek mathematical works to the finding of Arabic translations of ...
... means by which lost portions of Diophan- tos might have been preserved , though not found in the original text as it has come down to us . We owe the recovery of some Greek mathematical works to the finding of Arabic translations 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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