# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068267:0036
# Permalink to this reading: https://leibnizlegible.com/page/00068267:0036?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 18
# Folio 18v, page id 00068267:0036
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068267&page=36
# Source image: https://digitale-sammlungen.gwlb.de/content/00068267/jpgs/default/00000036.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.90
# 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.

in poterit ubi est X. quod discutiendu
vero indeterminata in grediatur fractioni
potest semper res revocam ad inlegros
ea mechodo, qua ex data aquatione
cujus radices iveniri pt alia cujus
radices sunt prioves recipro ca, ve
potrus si decur aequalio nqua extent
omnes andices aliqua terminus
ejus secundus est summa radicum
terminus penultimus est summa per ulfimi
visus est summa reciprocarum radicum
sed quia in sexie infinita pa seu ipse
mminus penultimus est summa recta conbinationum
ex mconimum ex quam plurimis radicibus
euan nempe
ut si sint rabices 4 eait
a. b. c. d. eut terminus penultimis
abc + abd 4 acd 4bcd. jam per Tabulas
nostras semper ex data summa radicum,
summa quadcalorum, samma cuborum et C. haberi
potest smima finionum, femionum, sec. imo
ergo et reciprocomm
aliarum formarun omnium
summae ladicum, quadra
oru seta
corum cuborum Rc. habentur per sumam
permine altomi potentias. i Est autem terminus
altimus infimite et potentia ejus etiam infinitar
e
t
quando saries in cfinitum progreditur praetem
summa sividenda producto ex omnibus ioina
ut pro combinationibu reciproci restitucantur ob
videndum ergo quod evanescaut ista infinita,
ut res redeat ad valorem finitum, quanto talis
revera est. Et quidem videnturm in casu
serili infinit ae potentiae omnes callimi terprim
evanescere praeter max mam. Unde res tentanda
est cn seriebus quamm hademus summa aliunde
M.
ut appaleat transitu ab infinito ad finitum
enenalis seu ruua sediei quam
est ponalis pel aequa