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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4
# Folio 24v, page id 00068217:0050
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 23r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068217&page=50
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 93 lines, status machine
# Lines: 93 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.
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# After the first blank line: the recognised lines in reading order, one per line.

X. a +5ab +10 ab + 20 a bc +30 a bc
ab aequ. a b - a aequ a X - a.
ab aequ ab a = abc. aequ. ae V X - ab c. . abc aequ. abc dab;  7, abe, a. aequ. a bc X - abc a
a ago X - 6yX +6ZX = 9 PX = iyZX - 19 +37V.
-3X +daX (+9X-gadgn)
219 4 2 4)
net reducendo fiet:
1
et y aequ a X 432
qunquina
=62X 46 a k
+ 12 a X (+ +ZX3) +9a X + 242 a X + 1a
+ 1
2a
+24273) 3ae X
+12X
EX a CX
Paequ Xt - 2X a + a
aequ X  xae rixa  a
X -3abX _ - a, aequ. 0. ejus guod X abX aX 
+habc
+6 abeX Gatux +bab, a, X +4
212ab, abcX
Ep. ro X aqu. 3ab X + bab,  X = a  ab aequ E - ia. Ego X -  ∞+ a X - a + habc. uo 0 aqu. - a + - ab X 4roat X + B. 8adX  + X
atab
18ab, at X = 6dba seu X3 + ae X - 22. Ergo a3B X + a X 46 abe
+6abc
Ergo 44 aequ. X + 2a X 4 nabi X + a X +12 abe X + 36a b
-8ab3
est autem 3ae b aequ a, X. 3a X + 3a X + a. quae addendo fit,
X aqu 1a X 42X ra e, X + 2aX+ abCX L a X + 12ab CX + 1b a bC
= 12 abc
X aequ. a + 5 at, ab
Hc = abc. a3
na a rx abcae
64l
=Fale X. (abe a X - +. a t 5.
X aequ. a + 6ab + 15 a  + 20 ab+ 30 a b + 60 ae bc +90 ab
6a ab + ab
2ab aequ. 2a ab + sta be + a Dabe a
a2. X2
+ abe X- 3abe, a 6ab
7+6
3 = 6
aq. I 4a + a b aqu. X - 6a X +  +9a X 6 abca X + 36al v
 ii
1944 18
is
12 + 24
=12abe X +18ab
(729) - 45B - 1, 27 + 143 4324 + 36
(329
8 a b aequ N - b a X = nabe X  ga 
+ 18ab1
4 32
qu abc ababC aequ. abc abg. aequ abcae x - abc a
Clumma
de hoge
n8 
t 1
 
Haus
seu iet
8a -a
729 = 30,8) - 28, 27 + 173, 9 + 124, 9
2930 2756 (+303,9
269
2abc aequ. abc X + 3abca X + 6a b7
 t gulaa
5a -5tabc.
va
+9, 5a +18, Eabca 
+9, 5ab
tas abca
nu
X, - 10a X - 28 abc X 417a X + 12gabe, a X - B a aequ. 0
+304b1X
+ 8a+1
uad
+185, ab
25a
=180 aet
+90 ab
- aex a
+90 abr a b aqu abe24
+48aV
+ 40
+ 48
rab = ralis
hac- habe, ab
abir aer
habe, ab
pnicare