Harriot, Thomas, Mss. 6787

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6332
[Commentary:
This page continues Harriot's work from Add MS f. , on Viète's statement of 'Syntomon' (Viete 1593d, Chapter 19, Prop . ]
2)
[Translation: 2) ]
primus casus. quando cb+ba≤90.
Ponatur
[Translation: First case, when cb+ba≤90.
There is put the ]
sit bc maior arcus
ab minor
sit bd=ab
ideo dc differentia =bc-ab.
sit etiam, bc+ac≤90: pro 1o casu.
Dico quod
vel sub hæc
[Translation: Let bc be the greater arc, ab the lesser, and let bd=ab.
Therefore dc is the difference bc-ab.
Let also bc+ac≤90 for the first case.
I say that:
Or in this general ]
nota
complementum differentiæ
complementum
[Translation: Note.
Complement of the difference.
Complement of the ]
Secundus casus est quando bc+ab≥90.
[…]
Quod etiam demonstrandum
[Translation: The second case is when bc+ab≥90.

Which was also to be ]

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