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# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 205v, page id DE-611-HS-958803:0412
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958803&page=412
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958803/jpgs/default/00000412.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.72
# 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.

dMN: pQ = BA m V) = MN d (P Z)
092
amx = -dLM etfit utrue
MN - - pQ cLM - d B d (PG) + LM d (pZ
Z
et 
a
Q
Lp est dx p9 = dx + adx et
y2
dx dx + 2dx ddx
ergo ob  M + d_n = 0 fiet
d
4
p9
L
e
3
L
du de +2dx ddx
e
it dx C) + 2dx ddx C) + D d = 0
jam dPE = ddx + d3X, et fiet
ax Pda ArB x +CMd.
p
2
= dkM = Lp(a Lm - LM dLP) -
L L
LI
ex dx d  dx LM dd ∞+ 2axdd X dx (LM) - 2sd du
i connesit da
-du ux dem) -dxod (Gldx +d, Y
+dx LM (adX) + ddd3X)
 p  du dux x ex +ddx dina)- mad
+dx d LM - LM ddx 4
O-
ex
dx d(MA) + ddx de)
etfiet
Ax dx d (n) - dx Lmddx + 2dX alx d x AL M. 2dxdlt Ha
+ dax dx ALM - ddx LM ddx
2M
de dax
C+ dx d (MN) + dx ddx d(mN) dx  Mxneaex
seu tr seu jam dx (a Lm + d LM)=dx dd
atdat
=0. quia dB hicsystans
parsus LP+ PG est acta onsi constans 
et
QN est etiam qnsi constans.
laque puora non salis bene
mvduix
ax TEaxdax
 da