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The following advertisement recently appeared in the sidebar on math.se:

On the left is handwritten Greek script; on the right are the words “Does your question fit in this margin? History of Science & Math”

Is the Greek script on the left actually from a mathematical manuscript? What is its source?

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  • $\begingroup$ Probably from Euclid; the topmost, right word is "method". $\endgroup$ – Peter Diehr May 17 '16 at 20:30
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    $\begingroup$ I think this probably belongs on History of Science and Mathematics Meta, but some input from others would be appreciated. $\endgroup$ – Danu May 18 '16 at 6:30
  • $\begingroup$ It is not a manuscript. It is a printed book. $\endgroup$ – fdb May 18 '16 at 23:21
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User plannapus points out that the proposer of the ad links to the original source, which is the first page of Diophantus’s Arithmetica, specifically the 1621 translation by Claude Gaspard Bachet de Méziriac. The right-hand side is Greek, and the left-hand side a Latin translation; the bottom seems to be the translator's commentary.

enter image description here

(Google Books has a scan of the British Museum copy of the 1621 version; it matches exactly.)

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This is an allusion to Fermat's comment in his copy of Diophantus's Arithmetica, whose page I assume is reproduced in the photo:

"It is impossible to separate a cube into two cubes, or a biquadrate into two biquadrates, or in general any power higher than the second into powers of like degree: I have discovered a truly marvelous proof of it, but this margin is too small to contain it".

The comment was next to the Problem II.8:"partition a given square into two squares", the problem of finding the Pythagorean triples, triples of integers that can serve as side lengths of a right angle triangle. Diophantus does not mention the geometric connection however, see more under Who discovered integer triangles with one angle trisecting another?

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