# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068198:0045
# Permalink to this reading: https://leibnizlegible.com/page/00068198:0045?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 23r, page id 00068198:0045
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=45
# Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000045.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 72 lines, status machine
# Lines: 72 recognised, mean confidence 0.71
# 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.

t
LB-
c
+
1.2 2.3
(2
4
3. FZ
i
a5
ete = v= ly = dy: y
6 4.5
+ dB = 19 - 1 9y 41 7 - + g ete
dZ
r 222 32 42
Ergo ddv = 1:, 1+7
eu Sdy: y =  aZ dZ
14Z
V2
A
ettado - 1 - y + 2Z - y3 etc
Ergo v- (C. Ce
Sd et
y dy: y= Saz de
seu dy: y = l0g-7 17 dy
e
et
et ydque = dy: 17
e
l 2
y _ X tx = tus Xsdx: X = (dy:  _x + fdx: x de = dy: y
yax + y fdx: X dx = du seu odu = q Ex + X Sdr: X dx
seu
Ergo
a X
= X. dx + X. dxiX dx= dus
de exa elg 
Ai
ax
∞X+I
+
A. dx: X ax Xdy
d dx + saxn
Xdy f ydx =xy. Ergo 
 var
X. Adx it
t
a ix
sxx est nom omnim X ex axe dabitur
Ergo ex xxdy. Ergo datur ubque
Eon Ergo summari sit  ax si
dx = Cd
+
X+2
dx + LX+v 
ea
Xta. ax
dd, X (X de = X dx (X. dx + pxte dx
Hinc
+l
id inquirendum esset an X dx et X. dx dentur
ex se invicem
summari possit
Ergo
R. X de
X
oxex ex
Xdx dx +
A SX. in =SSoe de ax FS x ex
s
12
h