# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068196:0348
# Permalink to this reading: https://leibnizlegible.com/page/00068196:0348?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 175v, page id 00068196:0348
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=348
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000348.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.73
# 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.

Eodem modo licebit assurgere pro tribus nemped, X. Cm. n
R. l+X. VOn+EX + R. CoM. I+MX. n+ pX + e f
s
l
co
el
v-
un cont
usi siunum ex hiset continua aunementatione, vel diminutione
co
d
Etiu porro pergi poterit. Ubi notandum qu Theorema de
uobus abunejam esse manifestum ducendo tantum, modo
in (x modo in X a -x vrgo nam summa
bosoun, pocs dunheande draaic
u
 Syx dx + sya -x +x = asd. a sy ax
de tribus aut pluribus sed hoc psum nondum plane dat proppositum,
snam
praeterta pro tribus aut plnribus non sufficit.
ed quid si ingrediantur infiit impos calculim impossibiles ut si sit
t
v
Utei eadem
quain praecedentibus Methodo res iu Tabulam poterit reduci.
qus
v.1
dy = 4. V. y. dy)
1+XX seu fX+ 1-1 in XAX - S- sicebit nihilominus ad imilationem suocedere
priorum et prorsus ut ante calculare, licet adhibitis numeris impossibilibus. Et hoc
modo in terventa impossibalium licebit omnem ferminum unique vinculi huc
ge
revocare. Quod si velimus id evitare poterimus jam porro progredi ad
e
rdre husfecce sa
X +a in X, vel _1+ MX in 1+ NX. et ita porro ascem endo
nes drensten
cftinnister alo rtira jobam arend zenze
me
FMX. 1+ _ Xd, I + p X
et n2I
p.
1+ gX =11 + pX M. quX. 1+qX
sit m = 2, et ( =  et C = 3: 2
fier
1+ pXr. 11 + px2 4. 29. X.
14
a
+
m
1+qu. pMX 1+ pX
g Si+ qrx. EpX
N1+ pX
e