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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 28r, page id 00068196:0055
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siltuisse.
fit yy ∞ ab - cx = 2 abd + ab ex + LCXX. et tan
 +2 labrcx, ura
f
 yt -2ab gy - 2cXyy + aa bb + 2 abc X + CCXX = (44460) + q ab ex F 4C exX,
e
X
ad
aLdX
-2ad = 2Cx taa dd D. 2abC D2ce
D2aabd D. 2acd + ee
2ad1
+gacd
compendio sit bxd = 3 b- d = 6 
C+CEK, c- C = E
fiet v - 2aByy - 2Kx yy + aa6d + 2dE, + EEXX = 0
4
=aa 88) - 2a5, Gy + KK y
et fiet EEXX + 2adEX + aad6
extrahendo
=2k ju ex -2a5y.E
et denique Cx + ad =.  ra BCEyy = KKy
seu X =
EE
E +KL Gt: EE aadd + 2a3yy - y4
e
-Lyy
El
= 2adEK yy = EE
. Kyy - aSE +y (K K yV + 2 a βEE
posiatur
CE
uod si proX a et 2Z. a
EE G3 - 2a6Et
fieret
Z = 1 (aKyy aa dE + ay N(.  33 aoa
redicis universalis daretur, summatio per quadratura
rationales. Ponatur 4G +KK gy = HKgu BrvIKX EE + xX
EE
=EE
=EE
et fiet e y = 1 vv ra BEE + 2adEK, : a TKK- EE et  a
2aSEK
YRDESEgF v = vx∞ 24355+2DCH EV V- 2aBEEDEK, : v
= LKK- EE y 4a0, ubi pro G ponendo
et. YK EE) ad=
(D 2adEK
t
gy = av + 4 aa BBE: (KK - EE)a
6-8 aa 3853R
Y 4aaSDEEKK
V
aKV + 4a BBEK
sed hoc redit ad
valorem inventum
CTrxnvytrabu
et fiet e
EE 5y2a6Et
-a dEKK BB + Aa (ra BCE- 2ad EH) BV - (2) raBes - 2alig
= BaBSEKK + aSC3 vv
+4a6dEEK
AD TKK -EE
vdo Y.. v7 +. vv +.
v
Eror in calculo suit, nam
1: a TKK- 12
nor intatento debebat
fir y = eav - 2a BCE+ 2 aSEK
quam reducibi lerme
an
esse ad rationales
aa W - 2a β5+2adE1
summas srimus dudu
ponendo solum vo-as
ergo ex his didicium hoc saltem hanc formutam
sed nihil hic procert
sequentem esse summatu haberi posse
l
dy V iagus +.. + y . gy +..
rationaliter
ad ex velgenealices
e
y  sab ex+
y = Sab +Cx+ adxx + it a + aagx + ahxX, :, X + l
ita
enim non assurgetur, ultra xt, ubi tamen efficiendum
+
interventr
est, ut cum quaeritur valor ipsius x, possit is huberisine
radicis cubicae. Sed si evitare velimus _ cuntio X et X, oporie
fierio y = sab+ adXx + Saeftanxx,  Ix+ ma, ponendo vel L
vel ce  n=d