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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 205r, page id 00068201:0409
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X = im 10.
sit b X + cm X + e m
siteer
bX3 + cm X
sit h X + lm
X-rmn -m pC
X3 + lm X - 2muh. X
+ β..=hmi.
2lma B
- 1m3
= 2mul m
Componantur hae duae aequationes, et ut superfluae m+n
vel mnt  destruantur, fiat:
c - b  + l r 0.
-f = β 1c
adeoque fH d. β H - d
Adeoque ex compositis aequationibus proditit:
_X Ac emB X - e m 
= l m3 sBo. vel
(+ 2lmud
almad
C - c ∞hr0
f- d10
=emn - 9 = -lmn Y0
bp et1
eti eh
X x - mn X
Sie X ( -3 ma X
Dr) unn
- e m3
et, +1
E) n n
Quare si id agatur ut summae exporestatibus  destruantur, non alia aequatio prodibit
quam quam quae fuisset si simpliciter cubum quaesivistemus ab X, es Nam si Xp in +n
erit X hmn X +
X e m + n + b.
Adeoque:
prosis
150m b
-27 mub
e eut X H +m
3mn X, suc X p in
(5 mn m+r, +b3 +31Y
n + b + m +3MX
hut Hi gnib nex
X m
- 5  (Bb X= Z (+emn3 b2. X
∞5nbEN
Jmub X
 +embin
(+enb3m
+15 mub X
- smn Bl - 5 mub 12
mb 73
b 13)
Calculus hic fit justo prolixior, et
ut arbitror sine fructu
3mX m . Imub
b 13mbin  inba
+ 3bX +3ma X
mub Error 3b
emnn ivmul 1bex 7 embm
Emb n 63  anx
Sub Rn 21z mub - 3n X
 ma X3
Emn
 
s interea memorabile est esse: on m + mbrm, + nbe H
ar  gmM X = 9mub, si XB mAn +b.
X  2 tdum i, +3ab X H m 2nb n + 3Bm X p vi + 3mb in + 3 In X
componantur inunum, fietque (3pi Astun n +  x 2 soenbX
+Sab n
G. 3mab mb im
re ien
ditm
In M X
n (x3
Xip m smn d niri a B
B HaBX  ca b X
Etror B6X 
XH hmn a + vit
N 1 3bX - 3b
FXbX
a +p
-3 mnb.
Anc patet theoremata morabiliu
c. g hmn a +3m B + 3nbY 
et r mna
+27 mub H 3mtr X
5mbB3 H 5ma X3
Snby
nE:
Gd-2m bn
um X
+ X
-10 mn b3
+ 150 in nb M
terende umn
romnbr X
Inter regulas artis hun
ut non ipsi eligamus sed
umnaturae ipsi relinquamm
exitum; unde caele
paribus tres calculi sunt
gungendi
Znl X. si Xp in + n + b
X H n