# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00051018:0083
# Permalink to this reading: https://leibnizlegible.com/page/00051018:0083?run=25
# Title: Leibniz-Handschriften Aufzeichnungen zur Rechenmaschine LH 42, 5
# Folio 42r, page id 00051018:0083
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00051018&page=83
# Source image: https://digitale-sammlungen.gwlb.de/content/00051018/jpgs/default/00000083.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 25, 2026-08-02T22:37:17Z — 69 lines, status machine
# Lines: 69 recognised, mean confidence 0.75
# 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.

s.plamentum egituqu de reducertirs aibus differtura
kuni gaor ad 
Si aequalio pit v
pt la logkalo
Arncle
se
se
et du-
et
d
seu
1.
et
 eo sdxix LVV
si Wd ax 4 los. d du
 red
vod noccuratu
L
c
codx + log. X. X dedL
quod munorotile et
seu
neo
log. X deo = log. X. = (CdLX:X
logX dco = Cd logX = , Co dx: X
ieu  (_ dX: _ deo = a (dX: X = (COdx: X
en
si
Mi
ax ix deo + (codxix = co SiX: 
jam summanda forma quaecunque ut
1aa
X. V de + X. +
fux. X forre ex cq3 V
seu
s
+4 Xd yd
it
e
du
pa
 geoferentiata
fit Cd ax: x + sax: xdco = dv: V
CSiX dx: dco + Sdx: X C _aa:vdB:
com
s a. V dv: deo
a
quam oquationem
orfferentiando liberamur ab ocum vinculo
mumatoria habemusque aequationem (T)
de
qud
differentialem. Nata Jam oquatione
in qua eet extabunt au do dao
et smiles.
t Pamlita in qua 
sunt tres quantitates cd, V, X cum suis
affectionibus etit ge cumque unasit
elatio
abundans potest nova inte ipsas
pro amitrio alsumi seu co D.X: v: X
et jam aquala data differulalis ) primi gudus
d
AC
inter v et X. lnique quaeratur disferentialis
qadus semudi seu differentio differentialist quae
quae mulliplicaut si duus per artitiaciam attollatum
ad gradum aequalitnis 7. poro 5g. ipsa eli
mulliplicuta per abibitrarium ad datur