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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 274r, page id 00068201:0547
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reditur ad aequationem Cardanicam si ponitur qH0. tunc in casu intractabi
dlitatis per regulas Cardam habetur erunt signa intrinseca literarum r. et p.
contraria, et pro Y scribemus = R. et fiet aequatio novissima talis:
2
F d + E s 8 -  pR +81 Rat -  P
u.
- 9pR.
+ 91X a 1
4
+ p
.Et debet esse 4 P
(3
a
2
+ 2b P Z 12
et ponenio  R  quod semper effici
quod semper effici posse videtur
ponamus aequationem: X + pX X _ = a R. dedectam ex alia y  - ahY a
scilica sit XB  fiet y  X -  a y - a. Ergo Rp  et p p ah
12
hioc ad h - a + 81 a  p 2ah
412
h
h+
9. 12
quae determinatio utique a
Cardanica diversa ridetur
Jam video rationem erroris differentiaeque, scilicet oblitus sum ascriben 
in aeq. 4)
Unum superest, ut faciamus:
X  a5 (S d’e +at 10 de + at
ita enim eodem plane modo ad destructiones d se dc +g se de + am1
ac divisiones veniri poterit; indeque ad altiors etiam aequationeus patebit via.
ent et sit aequatio:
a 23
X = aq X + ar. fiet: aq = aqZ c0 + ar co
1 493 àf de 1 de
triduere asfirmatio nelu cui velimus sequere
+p+
rem semper haberi
3afr el ...
+3a12af...
3argde...
harg em
13af 10de af d’e
+3as d...
3aaf....
+3a
+as de
+ ad 1.
1basde al
BID
RV
i
cd
a
posse.
tarlo HI
sed satis praevi deo laborem stum esse mutilem, quia X est intego, ideoque necesse
est dividi posse numeratorem per nominatorem res ergo redilit ad expressionem superiorem,
Santum ergo opus est, ut nunc
adeoque fractionies istae nihil conferunt.
ad altiores formulas progrediamur. Et pro quadram quae eatica tractanda video recsse
esse, ut semuds terminus alsit accoqui fiernt d et e sue il prima pagma enuntiaveram C et C
 aequales Et videndum est an aequatio quadratica resolvi possit per
radices sui gradus, an forte, quod vereot in ipsa non sit sufficiens datorum
numerus ad tollenda 1 + c. vet b + 
vertatur