Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 31r
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: 0.72.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
The machine reads it as
- X,. X+b, X+C, aequode quadrato. sit X = OD- minzz+ Emnaz + nnaa
- DD
- Ppze2+ 2p9 a2 4 qqau
- 11
- Hinc _ X+b, X+C, DE = aOD + bDD, aOO + C DD = aaC + + bc 74 + ab +4 00D
- in hoc producto tollantur termini ultimus et penultimus seu g0 et gi
- au
- 4 4
- 4
- r.
- pro tollendo termino ultimo, fiet aa Rre + bcag + a (b+C) a nngus = b, Et
- ponendo g: n = a, r: a, seu nr = ag, in evanescet n, tet fiet.
- e
- aa a + b bc pF + a (b+ C) aarY = o. seu seu 2 + a (b+9aaYqusbr)
- = aa)) a a qu (brC) -qa b , : 9bbcc
- et fiet rr = - a (b1C)
- 2bc
- aa
- E +C
- u
- 3(b-C) = F -4 vel a
- edum
- 0
- 1n
- Pro tollendo termino perultimo, seu Z, fiet t
- aa Amnannaa + b. 4pgaggaa + a (b+C) L
- 2mnagqua
- bc ce
- C nn
- 0
- apgatpaat
- L
- e
- et pro aq ponendo nr, dividi poterit aequatio per 243, et fiet
- aa(btC)
- a tat atm + 4+si 2 brp + a(bic) anta
- et fiet 2am F 2b - 2(C: f) afrafp + aaC-aa + c)afM
- sit b negativa=
- Abole
- rrm
- Carp
- fiet W.a a f et rk Yr~ -ab-aC
- e
- s
- d
- 3
- tat p
- nXC(Bas et Petmaq) CF m + pras,
- a
- seu 2aam - 2C P raf, (b + c) fm+pVat) L
- seu 2aafm a23
- et fiet p: m = 2aa H b+C)f,: =(3caf + (bHC) Va
- vel pem = 2 aa f et fanates )f,: 2 feras + ( aa + Cf) tas
- seu = P. m = 204 af + (- a0 + cf) faS, in da fet +a 1aa + cf.)
- e
- e
- etgaa
- seu = p: m = t aa + cf,., ba)
- seu denique p: m = vaf: a
- e
- et q. n 2
- fieret p: m = quin sed hoc
- x
- evanesceret
- id
- fafi:ta.
- evannisset et fuisset 9nq: nn = - a: b,
- 3
- .ila
- quam in valare ipsuus X
- non licet
- e
- ut primus ut ultimque terminus nempe Let
- variabilis.
- et pp: mm = -a: C
- ) quod non prodest
- pellet XX + ab _, XX + ac, et fieret XX = mn XX: aa, ut supra x: a
- redisetus priordifficultat
- -. odidet ide lane an C + bc D a (b +C) C
- et prodicet eadem plane difficultas, sed si ex si osset XX=
- fieret Xx + ab, Xxtac
- seu XX: aa =:) fieret xxt ab, xxtac, ut aute
- A
- ny
- olli in aequo asurgente ad L
- o. Tollendi essent
- terneni pra primus et segundus ne
- ad
- 7
- at Ztah
- afzF aaquut
- vhs ssuid quui nveeret
- AeZZ+ anZ aep
- Pp Z2+ 2B9aZ + qqaa
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 31r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0061?run=74