Diophantus of Alexandria: A Study in the History of Greek AlgebraUniversity Press, 1910 - 387 páginas |
Dentro del libro
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... propositions discovered by Fermat in the theory of numbers are enshrined ; but , although the notes are literally translated in Wertheim's edition , they do not seem to have appeared in English ; moreover they need to be supple- mented ...
... propositions discovered by Fermat in the theory of numbers are enshrined ; but , although the notes are literally translated in Wertheim's edition , they do not seem to have appeared in English ; moreover they need to be supple- mented ...
Página 1
... proposition 20 of Book 11. ) : Suidas s . v . ' Trarla ( Dioph . 11. p . 36 ) , Theon of Alexandria , on Ptolemy's Syntaxis Book 1. c . 9 ( Dioph . 11. p . 35 ) , Anthology , Epigram on Diophantus ( Ep . XIV . 126 ; Dioph . 11. p . 60 ) ...
... proposition 20 of Book 11. ) : Suidas s . v . ' Trarla ( Dioph . 11. p . 36 ) , Theon of Alexandria , on Ptolemy's Syntaxis Book 1. c . 9 ( Dioph . 11. p . 35 ) , Anthology , Epigram on Diophantus ( Ep . XIV . 126 ; Dioph . 11. p . 60 ) ...
Página 3
... propositions under the title of 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 ...
... propositions under the title of 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 ...
Página 6
... propositions used by Diophantus in his work ... " These facts again point to the conclusion that the lost Books were lost before the 10th c . Tannery's suggestion that Hypatia's commentary was limited to the six Books , and the parallel ...
... propositions used by Diophantus in his work ... " These facts again point to the conclusion that the lost Books were lost before the 10th c . Tannery's suggestion that Hypatia's commentary was limited to the six Books , and the parallel ...
Página 7
... propositions , that is to say , to reduce the equations , if possible , until one term is left equated to one term . But afterwards I will 1 Dioph . 1. Def . 11 , p . 14 . show you also how , when two terms are left DIOPHANTUS AND HIS ...
... propositions , that is to say , to reduce the equations , if possible , until one term is left equated to one term . But afterwards I will 1 Dioph . 1. Def . 11 , p . 14 . show you also how , when two terms are left DIOPHANTUS AND HIS ...
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
absolute term added Algebra arithm Assume auxiliary triangle 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 four numbers fraction Frénicle given number given ratio gives a square Greek hypotenuse Iamblichus indeterminate indeterminate equations integral Lagrange Lemma letter Maximus Planudes method minus multiplied Nesselmann obtain Oeuvres de Fermat polygonal number Porisms prime number problem proposition quadratic rational numbers required numbers required squares 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 καὶ