# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/32360/text
# Catalogue record: 32360 — an [das Bergamt zu Clausthal]
# Incipit: [Faks. s. Rücks. d. Kat.-Zettels]
# Date: 1686-03
# Akademie-Ausgabe: AA I,4 N. 214
# Other printings: b
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=32360&katnr=42053
# AA I,4: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-i/
# Work: https://leibnizlegible.com/work/00068196
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folios: Bl. 175v (from the shelfmark LH 35, 13, 1 Bl. 175v°): 1 page, canvas 348, page ids 00068196:0348 to 00068196:0348
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=348
# Lines: 54 recognised on 1 of 1 pages, mean confidence 0.73
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 175v — 00068196:0348
# 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
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