Diophantus of Alexandria: A Study in the History of Greek AlgebraUniversity Press, 1910 - 387 páginas |
Dentro del libro
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Página 8
... solved . " That is to say , reduce the quadratic , if possible , to one of the forms ax3- bx , ax1 - c , or bx = c ; I will show later how to solve the equation when three terms are left of which any two are equal to the third , ie ...
... solved . " That is to say , reduce the quadratic , if possible , to one of the forms ax3- bx , ax1 - c , or bx = c ; I will show later how to solve the equation when three terms are left of which any two are equal to the third , ie ...
Página 11
... solved by Leonardo of Pisa , which is very similar to those of Diophantus but is not now to be found in the Arithmetica ? In fact , it may fairly be said that , when Chasles made his reasonably probable restitution of the Porisms of ...
... solved by Leonardo of Pisa , which is very similar to those of Diophantus but is not now to be found in the Arithmetica ? In fact , it may fairly be said that , when Chasles made his reasonably probable restitution of the Porisms of ...
Página 12
... solved the problem . He points . out moreover that the beginning of the tract is like the beginning of Book I. of the Arithmetica in containing definitions and pre- liminary propositions . Then came the difficult problem quoted , the ...
... solved the problem . He points . out moreover that the beginning of the tract is like the beginning of Book I. of the Arithmetica in containing definitions and pre- liminary propositions . Then came the difficult problem quoted , the ...
Página 39
... solved with reference to particular numbers only , would possess the attraction of a clever puzzle rather than any more general interest . The answer to this is that , in the first place , it was absolutely impossible that Diophantus ...
... solved with reference to particular numbers only , would possess the attraction of a clever puzzle rather than any more general interest . The answer to this is that , in the first place , it was absolutely impossible that Diophantus ...
Página 58
... solving what he calls a " double - equation , " and will be found in II . II , where such an equation appears for the first time . Apart from this , we do not find in Diophantus ' work statements of method put generally as book - work ...
... solving what he calls a " double - equation , " and will be found in II . II , where such an equation appears for the first time . Apart from this , we do not find in Diophantus ' work statements of method put generally as book - work ...
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