# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/DE-611-HS-973581:0015
# Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-973581:0015?run=307
# Title: LBr. 396 · Hermann
# Folio 8r, page id DE-611-HS-973581:0015
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 7v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-973581&page=15
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-973581/jpgs/default/00000015.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 307, 2026-09-10T21:35:29Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.86
# 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.

nobis non est explorata
sed sunt multae alio
viae perveniendi ad quasitum, una alia commodior pro
re nata. sufficit in genere nos ob. oculis id habereut
a
demonstremus seriem revera advergere. Hut in eam
e
rem autem opus est etiam, ut deferminemus
vel etiatq
legem seu progressionem serieiq relationem
inter terminos ejus aliquot finitos, quando ea
est
est possibilis
2
 X X +
doe
a
e
esse d,
n Exempli causa in serre
+ X res 
progressiomi
eg
trmi lex senci est, ut posito Terminum
4
 et numerum seu locum Tepmini
ubi X est coustans T et nvariantes
i n. neque vero nisi
n
tote sit
cognita lege seriei ad demonstrationem ad vergentia potest
esse n,
pervenipi
adica illustranda
quod de Arhmetica
conitas gandeo. Omnino sentio in ea latere non
tantum perfectionem Scientiae numerorum, sed etiam
applicationis Numetorum ad Geometriam, ut scilicet
determinatas quantitates sive irrationales, sive etiam
prauscendentes quam optime in numeris, serie scilicet
simalium, ut vulgo decimalium, exprimamus
definiamusque (quod in eo genere primariam est) leciem
progressionis.
putem autem post Agorithuum
voniendum ad eterminationes veriodorum, qua
1
habent columnae Numerorum Aritthmeticae progressionis
seric
et potentiarum ab iis quarumcamque, aut folmularum