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It should be in the public domain (obviously), so I'd thought I could find the English text on the web somewhere. Apparently not?

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There is: archive.org/details/diophantusofalex00heatiala for Diophantus of Alexandria; a study in the history of Greek algebra by Sir Thomas L Heath (1910). – Did Aug 24 '11 at 12:45
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Look at this text by Norbert Schappacher for some interesting history. – t.b. Aug 24 '11 at 12:48
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@Didier, that comment could be an answer. – lhf Aug 24 '11 at 13:31
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If you want a physical copy, some print-on-demand companies offer copies of the Heath book (e.g. on amazon) for not too much money. There is a Dover edition too: ISBN 1443730238. – m_t_ Aug 24 '11 at 23:33
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In Steven Hawking's "God Made the Integers" he has books II, III, and V, in English. – Gᴇᴏᴍᴇᴛᴇʀ Dec 26 '14 at 3:44
up vote 10 down vote accepted

There is one such translation (freely available), included in the book Diophantus of Alexandria; a study in the history of Greek algebra by Sir Thomas L. Heath (1910).

For some interesting history, user @t.b. recommended (and I fully concur) to look at the paper Diophantus of Alexandria: a text and its history (2005) by Norbert Schappacher (this paper is freely available as well).

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This link says there exists a book, but the cost seems a bit high.

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This is a translation into English by Sesiano of an Arabic translation of what may be some of the "lost" books of Arithmetica. (The manuscript was found not that many years ago in a shrine library.) The text is probably substantially modified from the original. Any decent university library will have it. Yes, the cost is high, but the profit margin is undoubtedly much less than on a routine calculus book. – André Nicolas Aug 24 '11 at 15:35

There is a way too download Arithmetica as a PDF at

https://archive.org/download/diophantusofalex00heatiala/diophantusofalex00heatiala.pdf

There are other options at

https://archive.org/details/diophantusofalex00heatiala

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Nice of you to copy the links in my answer, posted several years before. Useful? – Did Jan 22 at 11:04

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