Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 300v
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: 0.73.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 301r); this page is its left half.
The machine reads it as
- Ut calculum absolvamus, inveniendus valor quantitaliam
- e mmntun et q. nm+mun
- invenimus autem esse mmn = ecez3 = 2aceZ + a eZ- b1cZ + 2 abcZ- a b
- p = eez - ae - c
- q= cez - be- e
- mnn = cecZ= 2bcez + b cZ - a eez + 2abeZ - ab
- mm = ccZZ -2acZ + aa
- un = eezZ = 2beZ + bb
- m ser comperdium faciams r ee bec race s= ce - a ee - 2bce
- i = bb - ab
- ee-bcerace
- + = aC + 2abc = 2be
- 53 e aee ibce B - Vc + abe - Eac
- v= aetc
- co- bc+ e
- = ac = a
- siet mmntun= ese L E+ L2F N, in esz. sat Ec t ncere et t ce
- r. 18
- mmtmu - eee 2+ 92 + x.
- +2
- in cez- co dat e +ces Z AcerZ + ce Z
- a
- 6 i
- certo Z3 = sed Z -vid Z
- am in 3 nihil destini eut, addaum in unum coefficientes Z pet
- oer
- (Ce bee Daccee
- (e)- ace -bccee
- pro
- Eaccee =CC) se fit lib Z in ce betac + hacet abec
- eeco
- =bcce9F ce
- y
- ctabee 2bcee n e abe) +Daacee -cce t be 2acC) susi b
- s
- EcdC
- co
- GWeetiabce (race) (= be fabee) 4 Ebbcce = ce ( ae) 2 bc CB)
- HAI
- icau
- M
- H
- +cev
- BceC abce ab ab
- + 2bC
- Le
- t
- cabre
- 2bce
- aace) Cabce)= (3abce) +3abbce = bcd - 2abee + race
- teee
- 1
- C aboet be - bb b + ab)
- eo
- Carber abe - aae ab e)
- Ergo tandem fit
- yc
- -2uce Z3
- seu Z nirabe =aac
- acc
- bce
- acee.
- dx = hdZue in-
- +C P7t -ce siber 93
- tCce. Iices
- F2ac
- bce
- Se. Gsa + abce -2abce + 2bc8
- JBC + abce = rabee + race
- e cujus ope solvebur. aequatio h + ax bus ebu = cZx + eZ) posito 1. dx
- sed si absit h vel c, vel e non procedit Modo calculus rectus est, cui non
- fide nisi in numeris peregerim
- Interum sumam exemplum h= czX + ezY. Z= dy .dx Ay = h. Z - ex ergo
- dy = - haz: 72 - cdx et pro dy ponendo Z dx fit Z dx = - hdz: ZZ - cdx
- seu fit dx = = h aZ: ZZ ~C atque ita habetur solutio ex constera Hyp.
- (2)
- Rurjus sit Z= du. x et h + ax = eZy. Ergo fit ejus differentialis
- adx = eZay + eydque seu ad = eZZ ax + Py dque ex 1 et 4
- et fit y = a dx: 4Z = eZZ dx: dZ quem valorem substatuendo in aeq.
- jam supra ex aeg. 2 fit, y = h + ax,: eZ quos valores aquando
- fit dx: h+ ax = dque: ez. a- e7
- 3
- sit Zax = dy, et h + by= eZX ergo fit bdy L ez ax + ex AZ
- Ergo bzax = eZ dx + exdque et fit dx b = e: C X = dZu: Z et habetur
- AX + by = X CZX + CZy sil et Z x L ay fit.
- atx agus c Z da t CXdque 1 eZ ag+ eydque seu adx + bzd x CZ ax + Cx du t CZ ax teya
- X =, Z b et: cZ a seu X = nV. m ( se sit e cZ a = m et ez - b = n
- fiet dm- d = dn et ex aeg. 1. fit MX + py 20 ergo = - ny: m et
- et mnaet X = -nay ydZue f nydZ seu y mm + nZx : = Z + n aZ= = MX: n. Ergo
- Aq
- il
- dx: mx =
- sin
- Het nxanyl
- seu X
- im- 1: m ny+ nZ
- grobile
- h- ny, im fitax = Cal notus gax M h -nu d+
- et pro dex port adr, E. fit pr de
- an
- u at as e e eat
- tabe = bbc
- et
- d
- in
- 23
- havee
- a -nf: m = - dufim
- dnf: m = an m -amn : mn.
- erso d- nm =-aumtannim solutio
- -n. m
- 4. 2. 5
- yl in ee (abe + 3aae -c
- Thabe +3bbC = C
- Est eria in calculo
- Haec oro non procedunt
- nec licet simul tollere
- rego generaliter Xel
- abcc
- 1sed
- c
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 300v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0596?run=74