Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 113v
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: 0.82.
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The machine reads it as
- Notetur differentia
- P. Vnn
- et h mn
- y, Htb, yte, aequ. Ato
- Not.
- y = h smn thimp Tonp ta9,: Asmnt aompt atup + g
- seu compendio y = simn +aq: asmn +r=pamus peu
- nimnum
- nter
- seu y = EBq aC: D ytb, ytc = yy + b y + bc = au 00 + ab D + FbcDD,: DD
- hS
- a ag9
- bc rr
- 6s agu
- 2aq si imn
- +Ehtipmn
- 2b04
- 2b5h)
- ragt mn
- 2bcY)
- ir 2Y smn
- aqr haom
- eq. Bto ab asum +at
- ∞ qunu + raapsmu +raat sum
- aat
- fiet phi aberbr = na autt - aaque +be rr+ (bHC) aqu
- et at + = Btagh + ber + (b+ C) hr +aq)
- caque seu aggysis + bbl ita haberi po verb. gr. Y.
- bbar
- Jam superest ut y aequetur Ato seu aO: D seu aOD: DD
- similiter
- et potatu
- b gre aequemus Ito. hic hmanes
- gy g+b, ytc, = 17 + by+ bc ogec O0 seu aham
- Ergo eb, ytc aa Oa
- Ergo _yy + Vy abc =
- t.
- a 6)- to ab ftmn + ag
- OD arqu. ito
- Ergo
- Generaliter sit mm+ 210pmn + 12Ima ∞ eto a 20 tma + 2t
- fit 2 = 20. 20 mn + 21. 21 + 2. 20, 2opsun + 2. 2 21 sun
- fiet 30 = sio et 21 = srNr et 12 = 2 11∞1 AV
- seu
- Ergo quia quia yy +by +bC = Bto fiet aq ob n = 2a (10 1D) fiet aqu 2bcr+
- tiet 2agh + 2ber + Hque = Z S, hh+ bC + (b +C) h, aa qq +b. Vr =+ (b+ C) agr
- Et quia ODquo, sit Erraque- tr seu hbrrtahgr naquu = 4ahqu
- et fiet hr-ag, quod non licet.
- u
- Uende
- insit
- (4aaque hh) + 4 agh brC) Er +a) Baghber + 4 agh bc) (Erst aq) 4 bbcc rr) + aber brC) arbaque
- Y (rC) + 2brC)rtaq) + sarrt hY bFC Chtrr + (Ehraque + aa qq) ht +bc + (b+C) h, accgq
- 4auque hn taberrkk H(gb+C) aqu hh, +4 be aaquue beberr bC (b+C) agr
- Gbr hagr
- H
- N
- seu sit (8 abc hgr + +aabsique + + aachuque + abbchrr + qbcchrr
- +bbhtrr + al bb g9 + Cchhrr + aacc qqF 2b Chhrra
- = Dbchrr + (4) aa bc g9 = 2abbhgY + 2 acc hgr ( 4abc hqr
- abchs + acabligus Abbchrr + bb hhrr + aa bb g9 +trC
- e
- V
- erunt 6 con et quia harc assurgit ad gradum Etum
- c.
- unde 2a, Ebchar - 2 a vb...
- bec ... + Cc
- = 2bc....
- hinc prodeunt saequationes clentificatoria, et opus literis artitrariis
- 0
- -ce.
- ce ...
- faciam
- facillim res,
- R et q et r esse gtantem, vel saltem si sit . Quod si solum h
- literae autem arbitrarcae sunt sex in h, r,
- sit constans, licelit non assurgetur ultra XX, et habebrimus literarum eo
- aequationes identificandas 3 literas identificatorias 4 ex Y et g et unam
- Ieque nnon d videtur difficile yy+ by+ bc
- aequare Ito, tollendo sine explicatione ipsarum Ep.
- itaque aequanse quadrato hoc modo
- praeterea h.
- oritur absurdum. Nam fit hrtaque = 2 sahar seu hh rr +aaqqt rahgr- Tahgr
- seu e hr= aq, quod non licet, nam y fieret constans.
- Ergo utDD aequemus Ato aliter procedendu. e latue qti sit hom
- fiit etue 3om + us 2302V m 30. 30m = 2. 30. 30 mn
- conferantur. Tit hmn +agr ∞ 30. 30 m. ubi oportet inhmnaaqu tolli tolli XX
- aursus
- sit m = 100 X + 101
- ihp + hr + aq ∞. 2. 30. 30 ubi oportet in rhp+ hrraque tolli X
- 00. 200 XX 100. 200. 30, X + 101. 201
- n = 200X + 201 p = 300X + 301 smn = h, 100.
- 200. 300
- Y= 400X + 401
- 0. 200. 20)
- 200.300. 101
- q = 500X + 501
- agr = a quo S00XX
- 400. 501 X + 401. 501
- 401. 500
- sedita deest sabis aequat literarum non adest, us Od cun quadralo
- ecm opus sit in universum aeg4.5.
- Anergo sic potius ut latus ultisitemtonro
- et quadrando fit 3030 v m + 2. 30. 30. v imn R sed videm rem non sicere nam frun in istud
- lacus si ducutur prodemit asumup. Sisi tentum suprsit incognilae, ut hoc possit tolci, utivi desque
- 21 est variabilis
- seu continens x
- regulanter
Cite
Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 113v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0226?run=73