Diophantus of Alexandria: A Study in the History of Greek AlgebraUniversity Press, 1910 - 387 páginas |
Dentro del libro
Resultados 1-5 de 94
Página 8
... third , ie , the complete quadratic ax2 ± bx ± c = 0 , excluding the case ax + ... three possible cases ( just as Euclid makes separate cases of the equations ... squares , and so on , it is possible that it was from the same collection ...
... third , ie , the complete quadratic ax2 ± bx ± c = 0 , excluding the case ax + ... three possible cases ( just as Euclid makes separate cases of the equations ... squares , and so on , it is possible that it was from the same collection ...
Página 11
... three such expressions simultaneously squares , i.e. advanced to a triple equation . But this explanation does not in any case take us very far . Bombelli thought that Diophantus went on to solve deter- minate equations of the third and ...
... three such expressions simultaneously squares , i.e. advanced to a triple equation . But this explanation does not in any case take us very far . Bombelli thought that Diophantus went on to solve deter- minate equations of the third and ...
Página 51
... squares . Let it be proposed then to divide 16 into two squares . And let ... three , or four variables ; all these Diophantus expresses in terms of one ... three unknowns , he is compelled by limitation of notation to assume for one or ...
... squares . Let it be proposed then to divide 16 into two squares . And let ... three , or four variables ; all these Diophantus expresses in terms of one ... three unknowns , he is compelled by limitation of notation to assume for one or ...
Página 95
... three , square numbers the sum of which is a given number , while each of them approximates as closely as possible ... squares , and in the second three , are required . In cases like this the principles cannot be so well indicated with ...
... three , square numbers the sum of which is a given number , while each of them approximates as closely as possible ... squares , and in the second three , are required . In cases like this the principles cannot be so well indicated with ...
Página 96
... squares each of which > 6 ( v . 9 ) . Take half of 13 , or 64 , and find what small fraction 1 / 1 added to it will make it a square : thus Diophantus assumes or 26+ must be a square . • yr − ( 5 ... three squares such that 96 INTRODUCTION.
... squares each of which > 6 ( v . 9 ) . Take half of 13 , or 64 , and find what small fraction 1 / 1 added to it will make it a square : thus Diophantus assumes or 26+ must be a square . • yr − ( 5 ... three squares such that 96 INTRODUCTION.
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