Diophantus of Alexandria: A Study in the History of Greek AlgebraUniversity Press, 1910 - 387 páginas |
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... porisms and other assumptions found in his work , has been entirely rewritten and much shortened , while the chapters on the methods and on the porisms etc. , have been made fuller than before . The new text of Tannery ( Teubner 1893 ...
... porisms and other assumptions found in his work , has been entirely rewritten and much shortened , while the chapters on the methods and on the porisms etc. , have been made fuller than before . The new text of Tannery ( Teubner 1893 ...
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... Porisms and other assumptions in Diophantus 99-110 " VI . The place of Diophantus 111-127 BOOK I. 11 . " 111 . " IV . " V. " VI . " On Polygonal numbers THE ARITHMETICA Conspectus of the Arithmetica SUPPLEMENT SECTIONS I - V . NOTES ...
... Porisms and other assumptions in Diophantus 99-110 " VI . The place of Diophantus 111-127 BOOK I. 11 . " 111 . " IV . " V. " VI . " On Polygonal numbers THE ARITHMETICA Conspectus of the Arithmetica SUPPLEMENT SECTIONS I - V . NOTES ...
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... Porisms ; in three propositions ( 3 , 5 and 16 ) of Book v . Diophantus quotes as known certain propositions in the Theory of Numbers , prefixing to the statement of them the words " We have it in the Porisms that ...... ” ( ἔχομεν ἐν ...
... Porisms ; in three propositions ( 3 , 5 and 16 ) of Book v . Diophantus quotes as known certain propositions in the Theory of Numbers , prefixing to the statement of them the words " We have it in the Porisms that ...... ” ( ἔχομεν ἐν ...
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... Porisms " and the tract on Polygonal Numbers . If the phrase which , as we have said , occurs three times in Book v . , " We have it in the Porisms that ... , " indicates that the " Porisms " were a definite collection of propositions ...
... Porisms " and the tract on Polygonal Numbers . If the phrase which , as we have said , occurs three times in Book v . , " We have it in the Porisms that ... , " indicates that the " Porisms " were a definite collection of propositions ...
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... Porisms " to have formed an introduction to the indeterminate and semi - determinate analy- sis of the second degree which forms the main subject of the Arithmetica , and to have been an integral part of the thirteen Books , intervening ...
... Porisms " to have formed an introduction to the indeterminate and semi - determinate analy- sis of the second degree which forms the main subject of the Arithmetica , and to have been an integral part of the thirteen Books , intervening ...
Otras ediciones - Ver todo
Diophantus of Alexandria: A Study in the History of Greek Algebra Thomas L. Heath Vista previa restringida - 1910 |
Diophantus of Alexandria: A Study in the History of Greek Algebra Sir Thomas Little Heath,Leonhard Euler Vista de fragmentos - 1964 |
Términos y frases comunes
a²-b² absolute term added Algebra Archimedes arithm Arithmetica Assume assumption auxiliary triangle Ax² Bachet Books coefficient commentary cube difference Dioph Diophantus double-equation equal Euler expression factors find a right-angled find three numbers find three squares find two numbers form 4n fraction Frénicle given number given ratio gives a square Greek hypotenuse Iamblichus indeterminate equations infinite number integral Lagrange Lemma letter Maximus Planudes method minus multiplied Nesselmann obtain Oeuvres de Fermat pair polygonal number Porisms prime number problem proposition quadratic rational numbers required numbers required squares required triangle result right-angled triangle satisfy the conditions solution square number substitute subtract Suppose Tannery Theon of Smyrna theorem third number triple-equation unknown quantity whence whole numbers Xylander ἀριθμός καὶ