271136
[Commentary:
On this page Harriot continues his work on Proposition VI from Supplementum geometriæ
(Viète 1593c, Prop . See also Add MS 6785
f. . ]
Prop. 6. Supplementi, in partem
[Translation: Proposition 6 of the Supplement, on the last ]
[Translation: Proposition 6 of the Supplement, on the last ]
Hoc est:
Quatuor continue proportionalium, quorum
prima minima:
Quadratum quartæ, minus quadrao primæ
Æquatur:
Quadrato, compositæ ex quarta
et duplæ secundæ, minus quadrato
compositæ ex prima et duplo tertiæ.
Hæc demonstrantur per
compositione altera
[Translation: That is: for four continued proportionals, of which the first is the least, the square of the fourth minus the square of the first is equal to the square composed of the fourth and twice the second, minus the square composed of the first and twice the third.
This is demonstrated by construction on the previous ]
[Commentary: The previous sheet is Add MS f. .
Quatuor continue proportionalium, quorum
prima minima:
Quadratum quartæ, minus quadrao primæ
Æquatur:
Quadrato, compositæ ex quarta
et duplæ secundæ, minus quadrato
compositæ ex prima et duplo tertiæ.
Hæc demonstrantur per
compositione altera
[Translation: That is: for four continued proportionals, of which the first is the least, the square of the fourth minus the square of the first is equal to the square composed of the fourth and twice the second, minus the square composed of the first and twice the third.
This is demonstrated by construction on the previous ]
[Commentary: The previous sheet is Add MS f. .