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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 106v, page id 00068201:0212
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 105r); this page is its left half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 103 lines, status machine
# Lines: 103 recognised, mean confidence 0.80
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

Unde yp
c. +2d. cbG
Mistiplicetur per
diX + 2dagX + a d
X7 + 2b X + b
+ radg X
tralus en
+am.
+aem.
rase H mags
1ab. abm
=radom+
+2ad 91 . +aji X 111
+rabn. Aen..
+ d’ap.. + 2ad ap. + ag ax
talap: +rabap. +a
y s + al,o. ponc: y H8 X + siet: X f 2b X A p 1
et ex equatione proposita fie. dN + adgX + a g 1
tat. + 2bal + b al
producta jam aequatione quadrato quadr alica nbi factitius
arbitrariarum 5. quaeali exciletur alia ex cubica data,
nempe X + ahX + a  B
Nt tn X rali tall X almpo. multiflicetu per d t ac fret:
+ d X  +dem X + dah X + d’ael X + d’aetm
+ ac tacm + acdh + d’ atm + acalm 1
+ ac al
+acatim
conferantur nunc aequationes O et D
sed jum venia in mentem ad sie quidem fieri imtiliber cur enim unu multiplicetur per x +n
alterum per X + nX + ap. satius erit aequationem sumere (ubicam puram X + a
eamque conferre cum quadrato quadratica hac Cubica pauto ante producta  etsi male deleta:
X F +d X3 + 2ad g X + ag
+ab.
+ ac ... + 2acb
+ dum
+acm
Bo. confereuticum crbiapum d X2 4 d’ael
+ radum. + agm
tveacbm. + acbm
X3F a ducta in drtac seu +ac
fiet ex terminis secundis. m =2adg - 2ac b Ex ultimis: m
unde - 24 dg + cb  ag +c b p d +2aC d + ac a B
Exteulis a ag + cb, 2a d’Hac  ( 42 Bdg + cb,) + d + ac ,  ael
rac, 2ad ab 1V 1.
sive ag + cb, ( a +
si sit equatio.
+a B
-2a 9 2ag + b
Ex his h aequationibus sufficit ut resoliumue duas
ad obtinendas dg duas ex arbitraries
Unde con sed consieratis aequatinibus
adscripsi N. patet rursus rediri ad aqua–
X + 2 Saeesas n + 3 san X, + 3aC X + 3saf X + 3an X, + psacius apepsan,
Y ah + aesap
dax + aC ⊓ Sean XE   X2+ a pX2 + ahX + aq. Unde cubando:
aX + 3deX + 3a  X + a C  an X + af X + a p X +ahF +aq. sed hoc nihilest.
X + ex + af  S an + sap. Uende quadundo: N + 2CX  _ Sapit sap +
+et. Freus a (t 
a b + Hac + sad +
63 + 3b fac + 3b ac
) conferatur cum X+ a l X+ m0.
Unde quadrando:
seu cum, X4 + nX v X + al X + atm p0.
fiei: me 2e. f5 ra
h+ tac + Sad t sae   1 as a sag. Unde Tubundo
+ a sac
F 36 Sadtrae 16b sacd + ac sae)
had+ sraee
+3tae ad
. atae
(+ ad Sad + sae)
is quibus
tione cubicam, quicquid etiam agamus.
Ket X + Sae + saf + san  sO asi tara .. Unde subando:
+ae saeriat + 3ae san + Szaet sas an + an Van
XEL LCX + 2afX
+ ac ael
d’ael + aEl tine at
ag + a cb
d. 9 b.
9b sadrae p) otace ad e t
N - 6b rac ....
situltm fars r sac s aet tus per 6 + 3b ta + 3bac + ac tac cum supe qui quidagus termi au aliqpuis sendat
ad Cabum, non video quid his agi possit.
1+8 1+ 18, (3) 5
=a sag
1+ 318 +38 + 1818 (, 25 + 158)
(b +a rag p f  sag
differcatia inter quadrat partium binomii dati, aequatur cubo ex
cp avad
et 25 2 + ag  (a)  a
2bDCa2
ad +16adC +64dc6 sin ae  7 a (1 da C 9 76 d a
adeoque a - de 9b c0b
Non video quid hini possit duci. hac H
cra t.
het aebrac vae f3 + 95 sa unde C f+ fag - a b,, 
diffeculia quadrutotum paptium rajdis ego: +ab. + La d p 4 cub a T  1 eg Hag rag
ab + ad ,, +S +sfC tad
e
Mitipem p X + nX
d’A2 + 2adg,
taC.... +