# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/DE-611-HS-958803:0242
# Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-958803:0242?run=74
# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 120v, page id DE-611-HS-958803:0242
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958803&page=242
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958803/jpgs/default/00000242.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 80 lines, status machine
# Lines: 80 recognised, mean confidence 0.69
# 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
uvdx quaeritur. sit sydx = aZ
p
dore Cd
(V
e
ex uno
a
s
patet
si v explicetur, per 
 transformuatio
vel aliters habebitur.
dat letra nomicita
ec tantum ergo opus est cessami dx ut sit summabilis
c
y Xvax seu X 39
et cdn d2 +ab . 
1+X ax X
ea a
purtu se
4
bxna
fiet  et v.
tazz hoc ergo pendet ex
Redeamu ad
sit uma
 Cd
X et a
)
L
log. 1+b
b2
1
 la
b.) d
e
s
a
e
vd
vab
2
2a
cituraviculi
syvax sit
es
vax. X= Jyde-
=Sadx: X = l0g. X (092
D i+X = V. Ergo 1 +
uet 14
09(+
rosulo
de quaestione in quam cum du. Joz. Bernonllio multa
inquivi sit qua
e
seu
si y vax et 0a lab -ax sit condm
Jam Z-
icui
d
Ergo
c
Oi
=
pono log. 620)
e = 109 (1+ b3
Uergo
= ce = l(1+X) dx: 7
1+X) du: X poss a quia
es e A
X
2
Et quia ounes alra entur fonmae, ut (IrX)X ax
variahmeduci ad uc posseat
1(+X) ax 2XF. potest cam
secg. a se
ax: XE geo
es
minabils conjugicim axix