4925
[Commentary:
This page contains further work on Viète's statement of 'Syntomon' in Chapter XIX, Proposition 21, Variorum responsorum liber VIII
(Viete 1593d, Chapter 19, Prop . ]
Aliter.
In diagrammatis (In utriusque casibus, 1o et 2o)
, secat, , in puncto .
fiat parallela .
secabit in puncto
[Translation: Another way,
In the diagram for syntomon, (in either case 1 or 2) cuts at the point . Make parallel to , and will cut at the point .
In diagrammatis (In utriusque casibus, 1o et 2o)
, secat, , in puncto .
fiat parallela .
secabit in puncto
[Translation: Another way,
In the diagram for syntomon, (in either case 1 or 2) cuts at the point . Make parallel to , and will cut at the point .
1m Dico quod: […] hoc est sinuui
complementi differentiaæ
arcuum
[Translation: 1st, I say that this is the sine of the complement of the difference of the given ]
complementi differentiaæ
arcuum
[Translation: 1st, I say that this is the sine of the complement of the difference of the given ]
Quod fiat
[Translation: Which was to be demonstrated.
[Translation: Which was to be demonstrated.
Sequitur etiam per 1m: quod:
in utroque
[Translation: There follows from the first, because in either ]
in utroque
[Translation: There follows from the first, because in either ]