So I'm on book ten in Euclid's Elements. On a third

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So I'm on book ten in Euclid's Elements. On a third

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Anonymous
2016-01-25 20:56:17 Post No. 7810379
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Anonymous 2016-01-25 20:56:17 Post No. 7810379 [Report]

So I'm on book ten in Euclid's Elements.

On a third apotome, would the rectangles contained by the rational line set out and the annex/whole really be medial, considering the rational lines are not commensurable in square?

Anonymous 2016-01-25 22:41:07 Post No.7810578
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Anonymous 2016-01-25 22:41:07 Post No.7810578 [Report]

So basically this question is rather esoteric, considering it IS a very unused, error-ridden portion of the Elements, however I'm simply wondering if it is REQUIRED for non-square medial areas to have sides commensurable in square only.

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