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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 4
# Folio 6v, page id 00068001:0010
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068001&page=10
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 92 lines, status machine
# Lines: 92 recognised, mean confidence 0.79
# 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.

summa
numea
contimne im pars
simnt  n
pynn
d
in slassi
loco t
XyH
1. 3. 3. 7
16
3. 5. 7.9
24
5. 7. 9. 1
32
9. I1. 13. 15
4
II. 13. 15. 1
C
13. 1G. 17. 10
604
y Y. 9. 11. 13. 15. 17, 19. 2)
3L. v
2
Xee
V
40
2
17, 19. 21, 23
8
19, 21. 23,25
d
21, 23, 25. 27
9
23. 25.27. 29
104
8. 16. 27 ex per 4
10. 18. 26 etc. per
Jam vifendum quando summae ex duobus
odinibus sumtae
sibi immediatae possint
s aequales. Et quidem non possunt
in potestunquam una conbinatio alteri vell
una
coternat alter esso aequalis; nec potest
cobinatio concernationi nam in
una sunt billae pares, hae impares. At 92b
qualis esse
cobinatio et conanatio possunt esse aequales
e
X
et
v.y
6 est 7. 9. et idem 16 est 1.3.5.7. Et generaliler
minari poserit quando locum habeat aequalitas
orro jam o conferendae etiam sunt
 sum collectiones quae sibi invicem sunt immeda
e
tadibus sumta, quam inter se habitudinem
eti e tae, ex diversis.
denique jatu vigendum
abeant:
jam quando
est coincidat aequalitas et immedietas
ut in eo uno casu aquntionie qmadrato
n inconferendo biniones et quatenniones
345+ 7 +9= 24 et 11+ 13=29
vechur
4o habemus p’anondeata pa
equadratos integros progressionis Arthmec
Et si sunt
24
L5
L0
ac ventius omnium simplicisssimi, quoram disfeunta est
aa tree nempe.
tac Iabit autem Fheorema generalia condere
Asiecile est eadem universuliter demonstrare; et ex
hus adifus datur ad imcumera problegmaea diogantaa
calerum si scrres im infinitum confinu abilisdaretuur numerorm
progressionis Arichueticae possent inductiones
allisiane proradias qu.  serrei primanu2 probminus
etam in siriebus tiniti  sa varinatibus ea, instituerililebit
fiorubus
adratorum
cm
at
da
 
e
4. 12. 29 per 4
6. 14. 22 ek per 4