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[147d] your namesake, Socrates here, and I were talking together.

Socrates
What kind of thing was that, Theaetetus?

Theaetetus
Theodorus here was drawing some figures for us in illustration of roots, showing that squares containing three square feet and five square feet are not commensurable in length with the unit of the foot, and so, selecting each one in its turn up to the square containing seventeen square feet and at that he stopped. Now it occurred to us, since the number of roots appeared to be infinite, to try to collect them under one name,


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