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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 21v, page id 00068198:0042
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=42
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.81
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

sit  ZH b Xrg. fieta ex 1 et 2 fiet: X + y - fxy 1, b X 1y + 2Xy
Aequato 5 dividatur in duas: p pl e b, nt. ir9
et aqu 6. s
et
2y - xy 146 Xy
seu X-y +ly - Xy+, b3
9
Eago
+t
N +y + 2Xy 4 2Xy
=2Xy
etex priore AI: X + y Y) b, X -y. Ex aequ. 7. fiet : 2y - x  4b3 X. Ergo 3y () 4 b3X + X
et XH 4b2+1, b+1
2, b - 1
X Unde destracto X nihil luciamur fiet enim b- 1 ⊓ 4b+ 1, b+1
Octius itaque sic: Y+y - XyH b
cva dZ
v du y a sit e fiet: et ex aequ. 3 faciemus:
Cv+ d , 2cdVZ chy + 2 ec + e + y - cy - cy 5 6, Cyt 2ecyte +9 + 269 4 rey
go
Ergo f Ergo fiat: C + 1 - c C b c + b + 2bc
CC-C  p2b  c2+ 26341C
12
B2 + 1.
seu C2 + 262+,
seu fiat1
263+
b3- 1
b3- 1
(1 - b3 - 1
3 -
47 263+1
(8)
1
sel  1 1 262+1 -
+ L  pb  1) sl
b7-1
6-, _ = 1 debet esse quadratus. quod fieiet si ponetetur 0
12 26441- - 1 0. fiet: + 162+,
quod est absudum, sic ergo res non procedit
b3-1
10)
1 1. seu fieret 2624, 
263-4