# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068201:0561
# Permalink to this reading: https://leibnizlegible.com/page/00068201:0561?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 281r, page id 00068201:0561
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 282v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=561
# Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000561.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 101 lines, status machine
# Lines: 101 recognised, mean confidence 0.79
# 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.

Sit Aequatio cubica intractabilis: V -aq  + a l 1.
ea
Ponendo vH  =, fier: 
= ag ZX + a 10
scribemus: 
+pZ X - à l p0
quam compendum causa
Sin adhibeumus ab initio v = aqV +aeY. junmus V1Co +B
fier: 43 + 3b C0 + 3bC0 + 63
- aq. - aqb
hioc peropendum d + P Ed +aZ Cd. + a R
fier (6)
comparandus
cum
V + 3 CV + 3cV + e
+ P)
D
+2FCV + PC
+ag y + aqc
a a
y 46 muy +gmn y (- n
14qui utique major quam 279 - a F quadra Aebet ergo aequatiaii () termini
sive:
9
secundi quadrati pars quarta
aequari termino tertio:
= n
H-66 m En
Si velimus facea 34 Terminum etim
aq.
collatis terminis senudis
1 (2) C + 9 DC + 4 a 9
10P- 36 a2
P +Y 10 P - 36 a 2
9b agb e (B) agb ar
y7 +3CV + 3C y +C
+3b.. +6bc.
1312.
y(py 1. a
 hoc
+ N
vet (P) ( +a.. id est explicando (P et (2) fiet:
(9 664D + P
et F et 
Ergo jam explicando aequationem otam, inscrendo siticet in
locum ipsius C, ejus valorem inventum, fiet:
V. (3- P
+ SioF= 36a2
s + 10 V
- 36a2.
cujus terminum ultimum, i in summam colligamus,
habebimus - 
(220,
27  (10e)
=16) +3. a p.
3r10 -2
(19)11 2
Et loco aequationis 17vel6 ita scribemus:
Y + (10P - 360 QY (+ 10F y
2= 36a2.
Quam aequationem comparando cum
+7 P2 S..
-aq.. aequatione Y, erit
mM (2) 1- Sior- 36a 2 ex collutis na
fet 36+6bc +365 a9.
et pruo co ponendo V+C
nempe mn (Pa. ergo m n ()a
at idem m n et a (2). Emo (
aeZ
superest jam collatio  terminorum ultimorum, pro qua erit
66 mn
Cep
166  10 2F. 
3 6,6,6
(23) 11 2 107
3oae +Y..
9,6,6
C) d
noc: 13 + bs3, aq
sine e+t b, saq
+5bC
ubi notabile est
si fuisser 
tectius affinuatio
=ggc s7
id fieri
non potuisse
+ 3b5
 et haequidem ex
at idem in
3ptLV27
410
qoasa ciic
(4 PY 1)
id sou
acc~3
3t dicia
+ a R
, 10l- 36a Z
(25) ob H, mo
isp = 36a2