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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 40r, page id 00068200:0081
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 41v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=81
# Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000081.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 83 lines, status machine
# Lines: 83 recognised, mean confidence 0.74
# 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.

- C M
Non dantur tres numeri t integri unitali
ifferentes quorum ducta in secudicem ft quadratus
m.1 om, m+i
silicet
m9
Ergu
(3
m
f+9 aequ an
m 16)
na
per. 4. (7
 aequ. f seu n9 aequ. f.
fieri ergo potest coppuatur de
C_ (8
Ergo n aequ. f. per 2.
 Ergo per Y et 4 fit 
107
N’aegu.
Cungos
(mrago) f0g. (M aequ) f gt FC
fi 92
seu si
seut f
 seut f
se qu
seu fir
 seu tC
si 9t
a
L aequ. g. Ergo
n
sit m aequ. f.. et faequ h9
-n seu - 514 seu-
In
ein
impossibilis
in m aqua  impossibilis
Ergo ex aequo fiet:
c9
(A equ)
fu
S
seu +fv
+n
nn
X
1 aequ. 9. et n aequ. f. Ec n +a
m
2 seu+
+ H
a
comparanda huic:
ece
+)
Ergo in aequ. f
A
1
M
m
in
n
aequ. a
n- N in n m n 4 
m ni
2
v
mm
Ngt
Unde patet aequatio
nem 2 et 3 con
cidere, et quia
2 est imqossibius
etiam 3 imposs
bilemesse.
est autem aequ. 3. maxime
indefinita seu f et g
sumi possunt quales cunque
itaque modoL sit
interer nam m c
intiger
aequ. anv