Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 26r
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: 0.77.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 28v); this page is its right half.
The machine reads it as
- y = Nab +CX + Sad + ex N ab + CX +2 Sabrex, ad tex)
- + ex
- videamus jam an data Yal + mZ + 2 +(a5 tagZ + an ZZ) =y ad formam secundi valorisipsius y
- adce adeoque et ad formam valoris primi reduci possit. ita enim datus val nempe
- tertias valor ipsius y poterit summari. Quem in finem assumatur Z= P+
- C
- 9(4) s X + t. Et ex valore tertio fiet fat + mSx + 2 + (af + agsX + hs5XX) = y
- adaut + dhstX
- aret eux valere elefiet radices factrices atite
- las
- jam ostendum quaerandur radices ipsius sorrationalis (aF . .. etc)
- n
- augt
- eumque in finem assumatur formula generalis faopt aa(a Q+ _a DX + a0XX) cujus
- ut quaerantur factre radices fingatur hac aequari nihilo sietq x dividatur
- per dividatur per ad et fiet XX + aD x + da = 0 seu XX + aX + aa DD = aa D D- qua O
- 4OC
- 200
- seu X +∞2B = a+ 3D- 498. seu X raa D = aar (7- +84). Ergo duae
- 20
- eC
- 2ac
- radices sactrices possunt esserX sac +M a D+ au XCDB. ad, et la+na
- d
- sao
- 2Vac
- tis enim invicem ductis, fit aCXX + na D + L a 32 - a DD + 4 08 = aex x + au d + 28
- ad ga
- jum 1 SaC + Sa = mE id est = et e.
- et fita (N H Y) S Sch: a) = R mS: a et sublato S, habetur n, ubi
- met h, sunt datae Rursus et fiet (n (nn+1, :n) = m B: tat seu
- nn =(M: Sah) n mm tah aah) + mm: tah = mm-aah,: +ah et
- set n = Imm- +ah +m,: 2lati, ubi m et h sunt datae.
- Rursus (n + 1) aa Z + (n - ) aa r(D -408) = al + mt
- un
- seu
- m: vak
- 2Ya0
- 2an0
- n + L = m: tah) CR = ( um- 4ah: 2 Lah) m: L Jah + n
- ergo L- = imm-auh m 2 tah. Vrgo = = smm -qah +m + Tm tah-
- 2 Tat
- smmdrat. Ergo m +eum Bah
- gat
- m a maD + atmm- 4ah (DD- 409 M
- Vatue Ed HOXE
- m
- sed si tode mus D 0 fieret 4- n ag: 2tr et fiet
- Wah sah Wtat
- (vel D =c
- ubi non licet facere _.
- quia eensi invento
- , evanesceret 5
- = m mag contit (2mhF- mag Esit + 2alhe
- 2tra
- d
- ja mm.+ah DD- 408.
- mo
- sit compendio ra Eth - mu: tCmm - 4ah) = +
- (aho = Lhssia
- (hO = h5: a
- aa W= aagg. + Ihht
- eritque D) - 40 ∞ ZsR R: aa ubi K est mere cognita, sed sevaneset
- e aague + paghto + eshitt ces 4 afh + Taagt h x qal tCh
- a
- a
- a a
- 3
- il
- Ss = SsKK.
- seu aag9ue (+ 4a Zh+ L 4hhtE) - 4aafti = 4 alue tha r Ahh tF = aa KK
- ibi suspectum est hbnemorabile eonesceret
- s et filis 4a = 4 fh = KK seu gg- 4th3 mm dahi = Ellht- et hinatum
- D= (mmgque mnfk 4akg + 16ah et habetuo f vel t e
- d +
- et fit
- seu f Lagg -9(m +hll,: quh
- de f= Al (+ 4a996c:3 16ato- tmm quod an
- 17
- poressimus
- ac=ms ac =hS
- e = ms - aC3: a = hss: ac fit msC = aCC = KBB tk Ess, sqF
- Aliter comparendo 2 et
- seu Gh = u aa Cc = ams C + ahss = o seu alt nace -a msac + Lmmss = 1 mmss -al
- et ac = E Imm- +ah + Lns et ac = =ms = = 5 nn-tah habentur ergo C et e
- ab + ad = al +mt abe + ade = ag5 + 2hts, hinc d = altmt = ab, : a = ags + 2hts - abe.
- e
- alc + met - abc = ags + 2hts F aber fit ab = lac + met - ag-2ht, : (ac. a-) 5 sum val
- pt ad tac + met = ag- 2ht.: -esmm- +ah
- rursus aabd=af+ aagt + ah +F
- compendius um. Fati P M Etque sit aabd= sal +mG ag- 2h_t + (alF int) P, sello mG9- aage - 2hi el fatrmt)
- niemcalculus absolvatur ut appares
- astan tahH
- mm 4ah) L- et p
- erogultigno, et qui ante prodetat valor ipsius f
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 26r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0051?run=74