# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068261:0025
# Permalink to this reading: https://leibnizlegible.com/page/00068261:0025?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 11
# Folio 13r, page id 00068261:0025
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 12v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068261&page=25
# Source image: https://digitale-sammlungen.gwlb.de/content/00068261/jpgs/default/00000025.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 71 lines, status machine
# Lines: 71 recognised, mean confidence 0.78
# 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.

quia quivis residuris est minor divisore primo seu simplice
deo
non nisi unitate differre a simplice divisore, ergo
quasi esset  + B +
2
+  +E + et
7a
15
p
1e
26
p sed hoc = 1 - 6) Ergo quantocunque D sint
nundratores simplicium fractionum, semper componunt
a
ABB 1 b- 1+ b + b +b
6
fractione
unitate minorem. Et proinde numerator productus per redactionem
+b
singularum fractionum ad communem denominatorem, est
usiduum divisionis totalis numeri dati, 135291 per
numeri dati maximam maximam divisoris dati smplicits
potentiam.
Et haec est propositio
6 numero dato proxime inferiorem
in hac materia fundamertalis
128
256
512
2
10
12
1024 2098 4096
2
4
44, 39
338
21)
16
et
128
quandm residuas est minor divisore habent
sunt in ea ratione sunt
divisore.
habentu residui potenti a potuli
eandem inter se rationem qu
minores
338 est dupl. ipsius 169
4c
2
dupl. ipsuis E2
duplo ipsius C
e +Y
habent residui a tedice, quamdim
(Y=
40
A
2
76]B
eq
N211
99
1
i
c2
A
p2
ee
EAB
4)
e