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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4
# Folio 32r, page id 00068217:0065
# Scan: The same scan is also registered as fol. 33v; its text is given once, here.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068217&page=65
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 124 lines, status machine
# Lines: 124 recognised, mean confidence 0.82
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# After the first blank line: the recognised lines in reading order, one per line.

a + 2ab + e.
a + 3aeb + 5ab + a. a + + ab +6ab + + ab + b 7
a + 2 ab + b + 2hc + c + 2aC + 
Ausicia +2ab + 2ac + b. + 2bc +C. An sic:
rat
a +
ordo
ndo C. R 12 82 si adcatiac
a habt ac +bac + 2bE
a 2ab b + 2bcC nequascilicet
2ac
in collocando injustitia
committatur
 trac tibd vel sic a + b +c + d 121 1121
+2ad
2ab rac 2be rbd 2 cd
2ad
a+ 3a b + 3ac + 3ab + 3aC + b+ 3bc + 3bc + C + 6 abc
a +3a b + 3ab + b + 3bC + 3bc f C. 133 53 31 a r 3ab +ac B, 2bc
+3aC 13aC
16 abc
Zaqu. 2 Z, Z- 1 aequ 2 aqu. 1. aequ. 3. et Z  1. Z.  aequ. 1.
21
si. Z. aequ. 3+. fy
equ
VE aequ 3.
si Zaequ 4. fit .. . . 4g6.
sit Zaqu. 3. fier.
2
2,3
aqu. 4 aequ. 4
e2
L
1
1,
e
b3+ 391
1 3 C
Radices ex Polynomiis extrahere, utile ad
rollendas impnssibilitates a
Sit X aqu  +B erit
(12 Z-1 Z
(2 Z agu A + ZAB
 aiqu B+ =B. 
A. B, 23 1B
si Z non sit numerus integli, orietur seres
infinita si sit X aeuo at b +c potent
similis regula inveniri hoc Emodo sit atb aeque
atc aequ. f. btcaego g.  quaeriturque
fier xago e+e aqu  +f aequ et a +9
unde
ei ( rgoHCt e aequ B) b+f rgo 1 at
ponendo caego A et eago B vel Baequ A et faequB
vel
 B
222
dee nequ e aequ 2
A B 2B C, 3C GC
Z 2 221 2 6752 3xp2 241 2
2
3
2
1
4 6
12
5 10 20 10 30
6 15. 30, 20 60
y 21 42 35 105
28 56 5b 168
36 72 84 252
10 34 108 120 240
60
120
210
336
504
280
15
vel A pyo A et g aequ. Bexhrahetm rab
supo
nomio ita
et
nes
extrinomi tractiones
lit
adde
u olapbsitum enelsu
vide Tabulam Numen exemplorum 
7C
126
221Z
13
e
qualit
. 1,Z.
4
Z
12D
2.
24D
1)
representerae B non A
(seu num puorem aquatione
ut scilicet simulix
per Z
compotita
nuveros
in
24 mineum
ecigers un
ula ineniendi numeros 
pote statum ex polynomiis
a aequ X. 2y
 X aqu a + 2ab
a ao X~ 39X LZ X equ a + 3ab +6 abc
210 at aequ x- Syx + XT equ a1 +4 ab
tadabe
+24
abe
litas
l. 3. et. deno-
t
forme
1314