Harriot, Thomas - Mss. 6787

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

c b + b a â¤ 90

.
Ponatur
[Translation: First case, when

c b + b a â¤ 90

.
There is put the ]

sit

b c

maior arcus

a b

minor
sit

b d = a b

ideo

d c

differentia

= b c - a b

.
sit etiam,

b c + a c â¤ 90

: pro 1o casu.
Dico quod
vel sub hæc
[Translation: Let

b c

be the greater arc,

a b

the lesser, and let

b d = a b

.
Therefore

d c

is the difference

b c - a b

.
Let also

b c + a c â¤ 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

b c + a b â¥ 90

.
[…]
Quod etiam demonstrandum
[Translation: The second case is when

b c + a b â¥ 90

.

Which was also to be ]