# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068193:0155
# Permalink to this reading: https://leibnizlegible.com/page/00068193:0155?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 77r, page id 00068193:0155
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=155
# Source image: https://digitale-sammlungen.gwlb.de/content/00068193/jpgs/default/00000155.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 69 lines, status machine
# Lines: 69 recognised, mean confidence 0.80
# 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.

mo.
S
L
3=
et
res
ve
as
3.
bas
per
MM.
ata
Ho
fi-
dn
A.
M.
2.
formali
Sect. II. Cap. 1. De Actione Motus et effectu
Jam si n serio geometricae progressionis assumatur alia
sones progretsionis Geometricae; sed majoribus intervallis, tunc
termini posterioris sunt in multiplicata ratione terminorum
Mioris, et quidem ratio multiplicata ett in ratione intervalli
A
majoris ad minus, seu intervalli seriet unius ad intervallum
alterius, quod n una quaque serue est constans; contra termi-
. Sab
et
mprioris sunt in rationemultiplicata terminorum postem-
oris.
su si snt duae serres simul erescentes progretsiones glo-
metricae: 1. 4. 16. 64; et. 2. 16, 128. 1024 tunc inter-
polata priore, ut in eam mcdat posterior res ita stabit.
Series communis:. I
Logarithm.... (0) (1) (2).
Serres prior.. 1
Logarit hms. t6)
intervalla....
Series posteriori.
Logaritum...
intervalla:
a
+ (21
(2) s (2)
2
+
M
4) (4)
A
-  (3)
6+ 126
16 512 to21
(6) (7) (8) (9) (10)
i(3).
(3) +
Et cum differentia logarithmorum seriei ABCD unt,
ad differentias logarithmorum serici LMXP, ut 2 ad 3,
Erunt termini seriei posterioris in ratione multiplicata ter-
minorum prioris secundum Pationem 3 ad Z, sive numerum
indium
83.
a.
6
(+)
2
(6)
24