134
[Translation: ]
[Commentary:
For this problem in Viete's De numerosa see
(Viete 1600b, Prob . ]
b.9.) De numerosa potestatum
[Translation: b.9) On the numerical resolution of ]
[Translation: b.9) On the numerical resolution of ]
prob. 12.
[Translation: Problem 12. .
[Translation: Problem 12. .
3.
Vietæ
[Translation: Viète's example ]
ubi
artificium parabolæ
epanorthicum
et
cubus
[Translation: with the method of the epanorthic prabola and the acephalic ]
Vietæ
[Translation: Viète's example ]
ubi
artificium parabolæ
epanorthicum
et
cubus
[Translation: with the method of the epanorthic prabola and the acephalic ]
Species
[Translation: Canonical ]
[Translation: Canonical ]
[Translation: ]
Est igitur cubus acephalus
Et devolutio facienda in
[Translation: It is therefore an acephalic cube, and the devolution is to be done as ]
Et devolutio facienda in
[Translation: It is therefore an acephalic cube, and the devolution is to be done as ]
per epanorthicum:
cubus e 7. 343
+ 720
1063. cuius latus cubicum
pro prima et unica figura
constat ex duabus figuris
nempe, 10. cum datum 720 habet
solummodo unicum punctum cubicum
quod
[Translation: By epanorthica: the cube of 7 is 343, plus 720 makes 1063, whose cube root for the first and only figure consists of two figures, namely 10. Since the given 720, has only one cubic point, which is absurd.
cubus e 7. 343
+ 720
1063. cuius latus cubicum
pro prima et unica figura
constat ex duabus figuris
nempe, 10. cum datum 720 habet
solummodo unicum punctum cubicum
quod
[Translation: By epanorthica: the cube of 7 is 343, plus 720 makes 1063, whose cube root for the first and only figure consists of two figures, namely 10. Since the given 720, has only one cubic point, which is absurd.
In æquationis affirmatis.
[Translation: In a positively affected equation.
[Translation: In a positively affected equation.
4.
Vietæ
[Translation: Viète's example ]
[Translation: ]
Vietæ
[Translation: Viète's example ]
[Translation: ]
post
[Translation: after ]
[Translation: after ]
per epanorthicum.
1024
512. cuius
latus cubicum, 8.
pro prima
[Translation: By epanorthica: 1024 minus 512 makes 512, whose cube root is 8, for the first ]
1024
512. cuius
latus cubicum, 8.
pro prima
[Translation: By epanorthica: 1024 minus 512 makes 512, whose cube root is 8, for the first ]