Harriot, Thomas - Mss. 6784

3920

[Translation: ]

[Commentary: The Exegetic referred to in this note is on the previous page, Add MS f. . ] Sit

q q = c d

. ut in Exegetike.
hoc est fiat:

c, q : q, d

Et fiat,

i a = q

Dico quod tum […] rectangulum erit maximum.
Nam ut [???] tum superiore argumentatione supra in exegetike
duo (

a

) inventa, videlicet

F C

F B

quibus solvitur problema
erunt æqualia.
Oportet igitur ut

X X

fit æquale vel minus maxime
alias problema solui non
[Translation: Let

q q = c d

, as in the Exegetic, that is, make

c : q = q : d

, and make

i a = q

.
I say that then the product

u a . t y

will be a maximum.
For then as above in the Exegtic, the two lines

a

which are found, namely,

F C

and

F B

, by which the problem is solved, are equal.
Therefore it is required that

X X

is equal to or less than the maximum, otherwise the problem cannot be solved.