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# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 19r, page id DE-611-HS-958803:0037
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958803&page=37
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958803/jpgs/default/00000037.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 recognised, mean confidence 0.70
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

dXx sit XIX = v se du quaeritur d B X do F dx i lxdx 
=X
X = h vbr X de _ +s vF 
het
sit h+K = 0 fiet hV X de = ek V:X
 X lx = dx + IX dx seu dx = d, XEx,: 1+ x
X tx dx = X Ex dxIx = v do
e+ lX
1+ lX = 1 + v
X lx = V dx lx
dx. 1+ lx = dv
S dx = X lx - v
1+ lX
de Ex= dx
dx = dv + Cx do
Ex= d
s etc posito. ly = Xlx = v
Monrieur ydo = ydx + y lx dx
+
at
1a Ya2 1
par
-2 etc
ex = de Fd lx = de
X dlx = ax
Ergo lX de = lx ax  lx dx + lx dx Ix dx et
X+
AlXC feCLCr.d+ cetdo etc
dx  xh+ X. +1 -  probemus X t
ht, X 
exhee
dx
S male C EFIX Ex
AH
7
ax
1+ lx
dx-v+ lxdu
1+ v
Hinc si sumumni possit yHo habetitur M X ax X = dx: d x
esieur Lcibnit Consuller
stramnover.
r-1
SIx du = X, (: - lx : FlXC. - IX
sunt
Ergo  Xk = h h  ex + h V Xk dx + B X. dx
h
LxBE= dx + lX Ax X_I dx = Xdl
1a
la jour de Mfiron de Pr.
Luneborq.
e