Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 180r
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
- et dy = dX = V x, vds + avls
- R =y, v logX = logy. vdx: x + dvloge = dy: y
- sit d = dx:, b +X fit v Elog b+X et h = b+X
- V q = y ( v logX + (cologZ = logy. et differentianto
- X
- fiet vdx + du logx + codZ ob
- v.
- =y fit Vlog X = loqy
- et fiil dyry = Bxr Cpax + dr lgv) ex logL + v x F
- .
- D
- et huy seu d, X. = X B( v (av + dr logB) + v
- e
- v
- et d X.. = R.. (V (logX (Yde + drlogo) + ax
- sit ergo
- datu ergo summari potest quantitas
- logX (rdy + dr logr) + de seu
- quantitas V, Z (rdco + codr) + dZ vel quia
- rdco +codr = dcor sit cor = fiet utrue
- V, Zd + dZ quantitas summabilis, erit
- Z
- = x(dn Z = logX, et X. = y et Logy=
- v
- 1
- et logy =
- Sy V, Zd8 + dZ
- y fit v. logx = loq y.
- et vi + dx L Vi dx + lgx d (v.) = dy:y
- V: = (7) r logv = logu q Y + logv. d(V) = duy). y)
- X
- t
- p.
- seu d rt = r. (t d + delogr) et fiet
- dv: = v. pt, do + tar + dtlogr Ergo
- dF + loge
- lggv (t dr + dtlog. 1))
- de edtul)
- V
- R+ d + dco -0
- V. dz + B (d eb + I de0) mux, nadr - -
- =
- posito dx: X = Z et do: v = 1V et tsdr. Y = C0
- 3
- =
- ponamus et dari ex sd adeoque et deo, sed
- possumus concipere forinulam
- datam esse aequationem, quae multiplicata per
- y et IY dari ex . B
- D est summabilis et datae logu + (3=0
- du + G F dV + Z Y. 1Vdeo con seu
- sit ttM. r
- t itep Aq ip dco
- Ky de +, gdco = XX dX+ yydx
- 24c c9. per Z et dz: Z vocetur Y
- +6 log ab: egt fint dea dN + p dip + pt pde
- dividatur
- du + 5d V + is XVdco qd quod eat summabile
- 1 _
- AY =L Ad + 4 1X ∞0
- sit egydx x fi ate - yy _ =
- queaquatu ita poterit summari
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 180r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0359?run=74