# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068216:0013
# Permalink to this reading: https://leibnizlegible.com/page/00068216:0013?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 3
# Folio 7r, page id 00068216:0013
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068216&page=13
# Source image: https://digitale-sammlungen.gwlb.de/content/00068216/jpgs/default/00000013.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 99 lines, status machine
# Lines: 99 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.
# 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.

e
2
4
PX + qx + rx + P. aequ. 0
Ponatur X aequ.  a + b + C +d. Et multiplicando per arbitrariam
X = a k 1() a X 4 1() a X + 1(4)9 X
19
20
0
qu
ab. e _ abc  42 (2
15t
4) + 4 abed
fiet: X LK.. X ere aqu. 0. totuntur
10
19
X = a X + IX crs
+2.
siat alia aequatio ex  aequ. 1 in aibitrariam ductu, ee
quae sit
2
X X mX + nX erc
producetur
nq u. 4.
201
20
A X.. X 1d aequ. o
F... a
comparanda cum
ita D ut denique inveniatur.
... a. +2... a.... a aequ. 0
rationaliter
effici potest id autem si possibile est prodire erit
4
et
a
20
tate. a. +
3 4
3
6 8 10
9
12
15
12 16 20
15 20
10
qlo
(7)
+ 23P9a +46 p9 a + 2310p95 a b
+BN + 5 55
10 primum ad 2 adjungatur 8. fit .
ad 4.. 6 10
ad 6 non licet, quia excedit
ad 2, 3 junge 5 fit 10
10
HeF
+235 p 9255 294pqeY
+
2t
+2,8 PaY
+64 9)
+(10)510
(4
Nota enimm
138p9
465p4655
69 perg
645 6 aB
834p3
1015
105 
123 ∞12 3
nobis formaest Eno
licet ignoti sint (6959645
numeri proquibus
II3
hic Muibimus 23. 5etC 1(15) (15
iiveniendos.
aequatio data esset:
es
: a a5.)
X + rX + saequ. 0
1010+
 10)a +15
a1
eo
a + 20 Y aequid
+ (20)
elrt
20)
quoniam autem
ad 0 junge 10 filf0
15
10
X
LC
4
5.