LBr. 560 · L'Hospital, fol. 32r
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: 0.86.
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The machine reads it as
- omnis quadratura termini quem ingreditur
- M potest recua (posito M dari rationaliter integre ex X) reduci
- ie M.
- sit ergo dy = X Im fiat y = n Im. Ex 2 fit du = dusm +ndm
- vel dus = 2m an +ndin Im : 2m. Ergo ex aeg. 1. et 4, fit
- 2Ym
- X = dn + nam. Ergo si possibilis est solutio in ordinariis, oportet
- e
- n sumi talem pro n sumi tatem torulam per X,ut nam
- 2M
- ob datam m per X, saliter n ass talem pro n assumi formulam ex X
- utn nam sit integer in indeterminatis, et quidem qui sit X.
- agdp- xdq + pgam
- ut an + A
- am
- fit n = fit dn = ag dp -pd4: 49e fint X=
- ap
- Xe = 2amgdp -2ampdq + apgam, : 2 m ga
- oportet apgam dividi posse per m et rampaq rapdq dividi posse per q
- et 2a dp - 2apdg e apam nursus dividi posse per q. quod vx
- quod non facile fiet, nisi p sit div. per 4, quo casu n erit integer
- si P et con sint
- m
- sane videndum an rapdq dividi possit per 4, nisi
- primi inter se. video id esse video id esse impossibite, in indetermi
- P et q esse primos inter se ob n = at
- matis: itaque jam supponunu et R
- ergo sequitur n esse integrum.
- itaque nam esst integer
- am
- dv =ds _b_ + G, dus dv = XV + nH) + pdy, fiet
- M
- 9+edu = v + n y +
- dy fiet Lalb. y + bdy + dedyt cddy =
- =de +ndy + any + padu + apdys. Ergo tandem fiet
- db y + bdus + dedy + Cddy = b y + c dy + ndy + du y + p ddy + ap dy
- et res est reducta ad unicam literam
- e
- drggmodt
- omosgur gel sup 5, deb Lngu jum dlnplsu heo
Cite
LBr. 560 · L'Hospital, fol. 32r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-855907:0063?run=74