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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 3
# Folio 7v, page id 00068216:0014
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068216&page=14
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
# Lines: 59 recognised, mean confidence 0.70
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e
quonia, aequatio sa dic) derivatur ex vetrma aequix
(C
20
15
ec
Ic. equ. 0
1)
derivatur ex. aequ. K eIc. aeX +.. X. +.. X + .. X + a. aequ. 0
quae ex aequationibus 4 et 6 compositis et imutilibus destructis facta
esti ea autem stabit hoc modo:
qua
0
5IS
a X +. qb x +abCx tab cd
0
Hinc investigari pt quid in eo genere sit
e
D, 4..
Sa
ea
possibile, hoc modo
sumtis X, et ejus partibus a, b. .c. d. pro arbitrio varieque substitutis
invenietur ilem D. item 8 ite 9.
5
Nam C aequ a + b+ C+ d
(12)3
14
11
Daqu abt acadb  +bd + Ct
Baequ. abC+ abd + acd b
Ruisus  aqu. 23 p 4+ 55 eper (B
G aequ. 4bc
et C.
s
lergo generaliter a + b + C+ d aequ. . p9 +.. p. per 10 et 14
Et posito esse aequatione data
XI + H 4 55 aequ. 0.
set: t a aequoa . f. 1 et ab
ell
1X
et ab et  et abc aequ. n
c
2
et D
X. +, XX + 5 aequ. 0,  X aequ at b+ c+d
2c
X
sequ.
+.. bcd X C
d
et
ec
d aequ. 5 +.
+. bd .. X +. X +. N + . .X +.. aequ. 0
+ X20
e
+.4X abX + abc X +.. abcd aequ. 0.
0