Harriot, Thomas, Mss. 6784

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3920

[Translation: ]

[Translation: ]

[Commentary: The Exegetic referred to in this note is on the previous page, Add MS f. . ] Sit qq=cd. ut in Exegetike.
hoc est fiat: c,q:q,d
Et fiat, ia=q
Dico quod tum […] rectangulum erit maximum.
Nam ut [???] tum superiore argumentatione supra in exegetike
duo (a) inventa, videlicet FC & FB quibus solvitur problema
erunt æqualia.
Oportet igitur ut XX fit æquale vel minus maxime
alias problema solui non
[Translation: Let qq=cd, as in the Exegetic, that is, make c:q=q:d, and make ia=q.
I say that then the product ua.ty will be a maximum.
For then as above in the Exegtic, the two lines a which are found, namely, FC and FB, by which the problem is solved, are equal.
Therefore it is required that XX is equal to or less than the maximum, otherwise the problem cannot be solved.

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