# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068017:0016
# Permalink to this reading: https://leibnizlegible.com/page/00068017:0016?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 20
# Folio 7v, page id 00068017:0016
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068017&page=16
# Source image: https://digitale-sammlungen.gwlb.de/content/00068017/jpgs/default/00000016.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 24 lines, status machine
# Lines: 24 recognised, mean confidence 0.95
# 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.

Denominatorem communem dabit
seriem arithmeticorum. Ergo et non
multiplicata, id enim aequalitatem
differentiae non mutat. Exempli grutia
Numeri XXIXx sunt semper integri, itaque
horum series aliquam differentiam (hoc
loco secundam) habet constantem, primae
us
vero diferentiae sunt progressionis anth–
meticae.
Hino etiam omnes series figura,
torum continuatis differentiationibus
dabunt seriem Arithmeticorum.
Et generaliter omnis series toumen
nem integrorum qua analytice expressu
per formulam, incognita non cadit nec
in denominatorem (ut fit in progressio
ne harmonica) nec in Exponentem, (ut
quantum
in Geometrica) continuatis feopur disse
rentiationibus, dat seriem oithmetico-
rum, vel quod idem est nit vice versa
omnis hujusmodi sepies,
sif