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May 26, 2015 at 0:27 comment added R.P. +1. Thanks! It looks like Bonnycastle and Maynard simply use the adjective "Diophantine" in the sense "resembling the problems considered by Diophantus". From there, I can see how the term could have got generalized. (Of course, I still suspect that the term was coined even earlier, since this is just an algebra textbook.)
May 26, 2015 at 0:10 history answered Timothy Chow CC BY-SA 3.0