# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068014:0018
# Permalink to this reading: https://leibnizlegible.com/page/00068014:0018?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 17
# Folio 9v, page id 00068014:0018
# Scan: The same scan as fol. 8r (00068014:0015), where its text is given.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068014&page=18
# Source image: https://digitale-sammlungen.gwlb.de/content/00068014/jpgs/default/00000018.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 69 lines, status machine
# Lines: 69 recognised, mean confidence 0.83
# 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.

1+ I aequ 1 + Z + Z. Z.
112
+
Z. Z- 1. Z-2
1. 2.3
ax Z.7. 13-2.3-3
fera
1.2.34
1- 1 aequ. 1 - Z + Z. Z-1 + Z. Z- 1. Z. 2 = Z. Z - 1. Z. 273
1.2
1 - 2 + l.   1- 3 +3 = 1aqu0
1. 2. 3
l. 2. 3.4
-4 + 6 - 4 + 1 aequ. 0
narum aequationu divisibilis per c=1 aequ.d
Hi numeri si multiplicentur per progressio nem het
HaceteaqCu4C quamcunque
productum fit aequ.0.
It1 + 1 - 1 aequ. 1+1
Ergo 1+ 1 aequ. 2 + 2Z. Z- 1 + 2. Z. Z- 1. Z- 2. Z. 3 dsc
-- Z1
C
1. 2.3.4
seu 141 aequ. 1+ Z. Z-1 + Z. Z- 1. Z- 2. 3-3
Rursus
1. 2
1.2. 3.4
Ergo 1+ 1_ aequ 2Z + 2.Z. Z- 1. Z-3
seu -21
+
112. 3
2. Z. Z. 1. 7.2. Z. 3. Z-4
l2. 3. 4.5
1+1 aequ Z + Z. Z- 1. Z.3. + Z. Z. 1. Z- 2. 7. 3. 3. 4
Ergo
il 1. 2.3
C1. 2
1.2. 3.4
aequ Z + Z. Z- 1. Z.3 +
s
1. 2.3
3. 2. 3. 4. 5.
sc est aequ.
y. 7 - 1. 7-2. 7.3,7-4 D
L 1.2. 3. 4.5
Cimpar
Hinc sequitur si Z. sit numerus primus, adeoque
posse dpr D - 1 dividi per y.
nam terminus ultimus, qui valet 1. detrahendus est.
Ergo si q numerus primus, etiam O-1. dividius
potest per Z. Ergo et + D - 2, seu 1t1 -2
dividi potest per 7. quod et aliunde patebat.
si vero Z sit numerus par res est paulo subtilior
non enim coincidunt numeri in termini in O et D.
Si numerus aliquis dividatur in duas partes
aequales sitque una divisibilis per imparem,
etiam totum per imparem divisibile erit;
et contra si totum per imparem divisiblle
erit et pars erit per imparem divisibilis
Z-1
Ergo si 1+1 -1 divisibile per imparem
erit et 171 =2 divisib. per imparem Z.
jam 1x+ v divisib. per Z. + si Z 1 primitious
et 1+1 - 1 divisib per Z si Z primitivus. 
Z
1+72 - 2 divisib per Z6 si y C primitivus ) Ergo condivitui
1+1
122 = 1 divisib. per Z. 4 si g. + primitivqs hoc p se patet
1+ 12 -2 divisib per L- 2 si Z. 2 primitivus