Арифметика (Диофант): различия между версиями

Нужен перевод:

In Book 3, Diophantus solves problems of finding values which make two linear expressions simultaneously into squares or cubes. In book 4, he finds rational powers between given numbers. He also noticed that numbers of the form (<math>4n + 3</math>) cannot be the sum of two squares. Diophantus also appears to know that every number can be written as the sum of four squares. If he did know this result it would be truly remarkable for even Fermat, who stated the result, failed to provide a proof of it and it was not settled until [[Joseph Louis Lagrange]] proved it using results due to [[Leonhard Euler]]. -->

 

''Арифметика'' стала известна мусульманским математикам в X веке<ref>{{cite book|first=Carl B.|last=Boyer|authorlink=Carl Benjamin Boyer|title=A History of Mathematics|edition=Second Edition|publisher=John Wiley & Sons, Inc.|year=1991|chapter=The Arabic Hegemony|isbn=0-471-54397-7|quote=Note the omission of Diophantus and Pappus, authors who evidently were not at first known in Arabia, although the Diophantine ''Arithmetica'' became familiar before the end of the tenth century.|page=234}}</ref>, когда [[Абу-л-Вафа]] перевёл её на арабский язык<ref>{{cite book|first=Carl B.|last=Boyer|authorlink=Carl Benjamin Boyer|title=A History of Mathematics|edition=Second Edition|publisher=John Wiley & Sons, Inc.|year=1991|chapter=The Arabic Hegemony|isbn=0-471-54397-7|quote=Abu'l-Wefa was a capable algebraist as well as a trigonometer. He commented on al-Khwarizmi's ''Algebra'' and translated from Greek one of the last great classics, the ''Arithmetica'' of Diophantus.|page=239}}</ref>.

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[[de:Arithmetica]]