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# Title: LBr. 560 · L'Hospital
# Folio 6v, page id DE-611-HS-855907:0012
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-855907&page=12
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-855907/jpgs/default/00000012.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 91 lines, status machine
# Lines: 91 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.
# 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
er aa = (B a- 44 + a-
aex aqu
t
a
X XX X.
eu
Hinc (logX) ac = alogX - LalogX + a logx a logx
ap
∞3
ese
XX
sit Z2a = log. X. et fat seu X=b. fipt
n - aZ eq az
quia colanden
jam Ax :X C
e
22
4 aZ etc. 
ac
pota
e
B
jam d
A et gu dX = b. d2
logX. au dex peu aloyX = aa logx +. a logx- a logx
et fict
a+F
L
b
FdZe- 7 dZ
X XX
X
Z dZ - 2, dZ etc
2
22
In hac serie patet, ex uno termino summato
summari posse omnes. Nam esto dani
py dZ
s
et
(Zed
dabitur et
1a
2 tantum m B)
e
D. pro Z tubstituendo L.. Ergo dabul
f2d
s
na
3
s
et (9d2
idem est si detur L
92
 
a
lC
s
Va
 dabitur ut ez ub edZe = , et fint D
ex C pro Z substituendo 13
LbdZ=
Lx
et
D.
e
Habio autem  alibi
ergo datur et
(7. b d2
s
Ce Sune sit Zuib.  ct erulde = B d
sit im bco frel deo = blyma tam B2 1Z. Seim
e
ita
um
m
dz L
t Ergo data summa uniqus dantur omnia alia hur
mbu
Ldr +
generis. Nam  sit b V firt Z2 logV seu fiche
s
dz = du: v et du = FR de Hinc si m sit
finc (BdZ + 5Z. 62dZ = Z b seu syba - Z. b2b
Ergo
et
eZ beta
= ez. b2 V2 et fyleda
Zb d2
1