# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068009:0019
# Permalink to this reading: https://leibnizlegible.com/page/00068009:0019?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 12
# Folio 10r, page id 00068009:0019
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 9v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068009&page=19
# Source image: https://digitale-sammlungen.gwlb.de/content/00068009/jpgs/default/00000019.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 131 lines, status machine
# Lines: 131 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.

si a - b dailgaur
0.0.0 et
. 1. 1 et =
e
re
at
deuxgrandeure
l aut
=a
tom valet
=c
ade
m
de siopetiantes igales
bc
-bb a=
ut
faut et il suffit qu
ab
d, et 20, il faulqu
l’on
ieu
Des 3, oudt
vent
potertes membre
pentleuusposertes ingrediens commet on veut
Y - ab a
al
bub
avo- but sa
0 d
ab: - 1 = - a
s’il y a  - b = a =
s’il y a a+b 20,
lum
mullsqu les copinet ns difecot que
Exemples et corollaies: Si a-b
es
dec
ar
runsie
si a-
Si -a
b
si ca = bb
sil y a a
1n
H
nud
b
inter
(t
4 =  C1
a
 = 0
a a =
am puoct
melilarus in expontite
b
sa. Ia = a
aa + ab + bt
aut A 2. B
tC. usqu
te
sit ys a tb -0
XX = - 1 x = s - 1
XX+R1 =0
XX - aa =0
e
y = aa
y =  Y2
Non datur ratio - ad 
Nam R: - 1 =
:
ratio et
XX = aa - yy
hoc mastratio absundum. Emo ron datur latroria
non situr log. = 1 - seu log - est inposs
on 1.
de ration
by et
m. timis
impossible est summam duorum quadratorum
a numeris non continentibus Y-1
equari
nihilo
Omnia per Geometriam demontanda seu
per aliquid reale, ut appareat quatenus rumbri
sunt in rerum haa
=
4 --
 =
C13
C1
= +
n
=7
Diviter est adjouter, apres avoir ehange les sigres t et  dans les membos ’est sonhrar
onte
molislia apres noeu eu s aelage le nonrutum abodriniantem, cest diviser
plier
dusor e iisté de l’Equation, et sonstraire de l’autre, iest laissen légalile
efsuer das vin des cex constitutis, de la paction, est Multiplier partela lantra, cast euperla ftactum
e
posere tuoneo li vitero d mi moata
bt
20
l abl
=rab, un senper Palet tat s.1
a
= -1
26
=t
=
vn
Maltipher, e
oui
nser
duvis
minatem 1e
an mullipherlafrnctu
sil y a
ait
sai os
ate-bte rit a - b
C = l
nisi c20
omettons icys les racines
il y a
- - b - a- - b = ab d: -b - a: b
 =0