# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068196:0188
# Permalink to this reading: https://leibnizlegible.com/page/00068196:0188?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 95v, page id 00068196:0188
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 96r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=188
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000188.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.74
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

e
 addy = xxdx + gydu fiat x = 2V y = Z v Ergo
r-1
141ZCv d0 + aae Z BG+ aAY LD do C m in m. 1n um 2
a 1
e-1
y2MR yM-1N
(MZ
er
av4 eger
aa
L VdZ + BZM n-1
du
CM 1 n
si ubi si divias per v21 restabunt exponentes quinque quom unu l. caleri deberent
detrutalur ubique
1
DeI 3n =Y+
e 8
V3n - 1-Y+1
3n -r +1 3n -1 - r +I 2Y+) = Y+I 2Y+n - 1 - Y +1
pt sed si e melius: fiat X = v et y = Z V, et fiet
2
data est aequatio andus = xxdx + gydx fiat X = se v
du + v dz 
dx 2 e v de  dy = Y7 r-1
le
Et exaeq. fiet YZ v a0 + v dqe = C V
y.
equ
v do +e qqper v du
∞- 1
nn
fiat r-1 = 2Y + C - 1 = 3C- 1 fint  Y+ e =0
Et per 8 erit 7 erit Y+C= 0 et per _7 et 8 erit - e = - 3e, quod absunum
Invertamus sit dus Zxxdx + gydx et X  y v et y = V
y ve-
de
et dy= Y v do et fil
Et ex aeq. 1. fiit Y V de = 77V (DdZ + ez V du) + v (V dque + e ZV dn)
sit jan Y = e
fiet
 fict Y + 1Z Y ez sit jam r = e
F  du + gV dx + hax =o fiat g - v, pudibit ef. V v do +g y x + h du 20
im 
fiat encTC en em e+1 _ o
si sit en = em - e + 1 = 1, fiet n = m = 1 = c
si sit
0 = em = e + 1 = 1 fiet M + 1 =0, seu m = 8 - 1
hi et fiat et do +
Cm +C - 1 = = 1, fit M = - 1
en em -e2 Ex th Vex
interse