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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4
# Folio 23r, page id 00068217:0047
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 24v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068217&page=47
# Source image: https://digitale-sammlungen.gwlb.de/content/00068217/jpgs/default/00000047.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 102 lines, status machine
# Lines: 102 recognised, mean confidence 0.75
# 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.

X aqu. 4
X -2ab + a
NX
Xeeq.   d N.
XOX, exa
. a x + X
0 aequ. - 2ab
0 aqu. - at X 2. 1ab X + pl +X
+ 2 ab
0 aequ. - a X +9ab X - b. N + + Y
- 24b
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
+2a62
sen u . 2
sit.  rpo.
 l
64 11
ut inveniamus e. f. sit X =1 aequ. 0 fiet
Ita habetur
continuatio
tiunt differen,
0 aqu. - ae  isab Soalna + abeX -ioX  + X
-2ab
tiae in sequentis
121,4 e 16 +56+ -c, -1046 + 1o14. se qu. o. et dibitis, omnibus, er 4
e
seu - e + 45 = = 90. aequ. 0. vel e aequ. 4f -. 90.
Rursus sit X +tonqua siet
a ib d afj4 - 10, 2  1
162 oisq - 1. 32
1008 - 10de + 400 - 4e + +5 10 rec
1og rae
n a a
400
8 41024
34=450
25, 4 + C, 8
+2,32 400
euruo
 Rursus sit X4 + aquod fiet
+85, 4 + 20 d aequ. 0.
e +90
fit. 9e = 450 pav. 0. seu e aequ. 50
et quia 8 4 f aequ. C+ 90. fiet f aequ. 50 + 90 aequ. 140 aequ 35.
∞  aque a = 3ab X X + X = 2ab, aequ.  X - a.
un au tedixe quotia habex
ga bFE tabeX
46 abe X
6ab Naequ 3X - 3ae x
6ab aequ 2X3- 24
 +2ab
 g1. e
 quid si sit taatum. X
Ergo X = 3a X 4 243
ae aequ. - + 3aeX F  abc.
X aequ. 0.
27 + 27 + 6
X aequ. o
X + 2 ab X + 818 X+ a
et + a
abe X +a
+6 abc
Ergo 24 aequ 2X - 3X + 34
0 aequ - a + 8abc a  +3a) X  gab X ax 
+4
+6a
sui
rg 0 hurgun etng Le 0b Abck quae
++ abed X +
Lob X2
es X + 1B) a
X + 16) a X, 2 Ab
at aeb
0. 2 5 (9 14
in infinitum ab ab 5
in praecedenti D. 7. (1d 30 50)
0 (d49 (5 55(05
16 30 5
160 470 aequ.90
e
a lice
acaib
no
1bp ab
ab
1abe ab X
+6a X
Eup  C abc X2
=6 abc a X
9y X ago y ab 418, 4
+182X
x +9
 eu
A X +642
X+pX+ qH
X +VX+ CX+d
Ed X +d pX +d X dr
+ex rep Acq +er
tbX +bp +bg +br
+p +q
11. non 12
X 3ab a =  aqu. 0