Harriot, Thomas - Mss. 6787

795398v

[Commentary:

The reference on this page is to Viète's Variorum de rebus mathematicis responsorum liber VIII (Viete 1593d, Chapter . Viète investigated the properties of the quadratrix in Chapter VII. Harriot's diagram is the same as Viète's. ]

Vieta resp. pag. 12. lin: 9, De
[Translation: Viète, Responsorum, page 12, line 9, On the ]

Sit:

B C, A B : A B, A E

.

[Translation: Let

B C : A B = A B : A E

Sit

A E

maior,

A D

[…]
Ergo

F H = F E

[Translation: Let

A E

be greater than

A D

.

Therefore

F H = F E

, absurd

Sit

A E

minor,

A D

[…]
Ergo

H E = F E

[Translation: Let

A E

be less than

A D

.

Therefore

H E = F E

, absurd

Et inde:

B C, A B : A B, B D

[Translation: And hence

B C : A B = A B : B D

, which was sought.

691 (346v)	692 (347)
693 (347v)	694 (348)
695 (348v)	696 (349)
697 (349v)	698 (350)
699 (350v)	700 (351)

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