# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068033:0040
# Permalink to this reading: https://leibnizlegible.com/page/00068033:0040?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 15
# Folio 20v, page id 00068033:0040
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 19r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068033&page=40
# Source image: https://digitale-sammlungen.gwlb.de/content/00068033/jpgs/default/00000040.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 95 lines, status machine
# Lines: 95 recognised, mean confidence 0.66
# 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.

cllens
1- 2t L etc
esse quantitas rationalis
 si lut t et non esse quantibarem ratio
nam 2- + e erc demonstrari potest non est
dequantitatem rationalem. nempe ex natura
don dipeogresionis decadicae neque enim servare
potest periodum. Sed me sed melius idem
E.  demonstrabitur ex m mea mechodo differen
d
an deberet enim alia series dari dlfereu
Htim athibendae et series in quibus suntindeterminati
numeri terminorum in exponente.
e2
e
e
= 47
C
3
d
e
4a
L = + L = L BC
laq
X - X + X - A
X- X +
vantitas
2
etc.
porro
et
quae quantita
es
non est rationalis
non est rationalis debet Al aequari
C maltiplicato pr numerum catio nalem
ratio aequatio algebinica. esse debet.
quantitas algebraica esse debet. Imo sic agendum
facile constare potest L non esse quan
fitatem rationacem prando n non est aliqua
potentia spationalis vel trrationalis) a 2. Sed
si iluue in fiicerto manet sitne penebr l. Algebraica
eta est
vel non sed si n sit talis potentia debete
numero rationali ilagrvidendum an
possit divia
C1
e
si punuu pertum est meliq saso
ee
eam
X
2
entral
etc nunquam esse
Bun
3
Ga
el
Cogein rl
e
hyperbolicam sporedentes esse
e+ de
algebraicam. idem probabisu
5
ecaet
Wbn
as montus
ud ir
iseu posse quantitatem latio
mabe
tsese si X incom
ex tesse
Bs
a
i suen
Esse panc pobatu facititr
sinabiles
evice
t
a
 a
p+
rs
s
d
Leeu
EC
1X
es
e
epse
leu
le a
demonstran poete