LBr. 454 · Augustin Thomas à S.Josepho, fol. 22v
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.85.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
One image of two folio pages side by side, registered by the library under both labels (also fol. 25r); this page is its left half.
The machine reads it as
- Restat ut etiam priorum duorum tam summa, quam diff.s
- it
- nempe 4X + y2
- X + 47
- Summa 5X +5y = E
- Diffa
- 3X - 3y = V
- Hic neque quadratorum neque y numeri sunt quadrati. Proinde
- C
- Bachetus, Fermatius et Billy hanc duplicatam aequalitatem
- rejiciunt ut menodabilem. Duae fortassis etiam ausa fuit
- insigni Mathematico Bononiensium Petro Mengolo existimandi
- Problema hoc in numeris rationalibus esse impossibile. Fg0
- vero contemplans utrumque terminum tam. summa, quam
- diffa superioris constare tam summa quam diffa corundem
- 2
- 2
- quadratorum, nempe sumam 5X = 4X + X
- diffam
- 3X = 4X X
- Item sumam 5Y=
- 2
- y +4y
- diffam -3y = Y =4y
- 2
- ita in methodum nirdi adaquandi quadratis superiorem
- a
- Substituatur igitur Z - 2y pro una incognitarum quantitatum X.
- (N. -2y desumptu est ex ultima radice a
- X = 27 serc 1X = 2y, diviso 27 per 1. cujus assume
- monsolutionis interrumpamus. dabimus infra per Lemma)
- stabitque superior duplicata aequalitas per substitutionem sic:
- Suma 5X +5V = 5Z -20Zy + 25y
- Diffa
- 12ZY + qu
- a
- 3X = 3Y = 3L
- 25
- 9
- 3002y +225y2 =H.
- duc plrucem
- Diffa 452= 1802y +225y = D. Subtr.
- Diffa 302=1202y. Ruejus Producentes it a
- quaerendi. Radix La ex 225y est + 15Y vel-15y, per hujus duplu
- =30y dividatu -12027, it 4Z una pars producentium; demum
- per 4Z dividatu 302 1207) habebitur altera pars 15Z - 30y
Cite
LBr. 454 · Augustin Thomas à S.Josepho, fol. 22v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 82). https://leibnizlegible.com/page/DE-611-HS-957479:0044?run=82