Diophantus of Alexandria: A Study in the History of Greek AlgebraUniversity Press, 1910 - 387 páginas |
Dentro del libro
Resultados 1-5 de 43
Página
... integral squares II . Equation xa – Aya = 1 triangles . III . Theorems and Problems on rational right - angled IV . V. Other problems by Fermat Fermat's Triple - equations · • 267-277 • • • • • • • 277-292 • • • 293-318 · • 318-320 ...
... integral squares II . Equation xa – Aya = 1 triangles . III . Theorems and Problems on rational right - angled IV . V. Other problems by Fermat Fermat's Triple - equations · • 267-277 • • • • • • • 277-292 • • • 293-318 · • 318-320 ...
Página 9
... integral part of the thirteen Books , intervening , probably , between Books I. and II . ? Schulz , on the other hand , considered this improbable , and in recent years Hultsch ' has definitely rejected the theory that Diophantus filled ...
... integral part of the thirteen Books , intervening , probably , between Books I. and II . ? Schulz , on the other hand , considered this improbable , and in recent years Hultsch ' has definitely rejected the theory that Diophantus filled ...
Página 46
... integral and partly fractional , where the fraction is a submultiple or the sum of submultiples , are written much as we write them , the fraction simply following the integer ; e.g. ay * = 1 ; in the Lemma to v . 8 we have BL's ' = 2 ...
... integral and partly fractional , where the fraction is a submultiple or the sum of submultiples , are written much as we write them , the fraction simply following the integer ; e.g. ay * = 1 ; in the Lemma to v . 8 we have BL's ' = 2 ...
Página 59
... integral or fractional . Diophantus only recognises one value of x which satisfies this equation ; thus , if m is even , he gives only the positive value , excluding a negative value as " impossible . " In the same way , when an ...
... integral or fractional . Diophantus only recognises one value of x which satisfies this equation ; thus , if m is even , he gives only the positive value , excluding a negative value as " impossible . " In the same way , when an ...
Página 60
... integral limits , the limits 11 and 12 are those which are obviously adapted for his purpose , and are a fortiori safe . In the above equations the other roots obtained by prefixing the negative sign to the radical are negative and ...
... integral limits , the limits 11 and 12 are those which are obviously adapted for his purpose , and are a fortiori safe . In the above equations the other roots obtained by prefixing the negative sign to the radical are negative and ...
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