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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 13
# Folio 40v, page id 00068010:0080
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068010&page=80
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Dato aggregato ex prima et sexta
a
e
de
XHC∞
e
Ce
c
le
eta
y-b
i
odca
e
Ergo ey + p yF
10t
e
ec  
e
2
e
a2
c
e
vste
ea
a
+2
a a
at
X.6
a e-1
+e +1C. eut y c ( 9-b- Cy+ ebC
+ Cr d. quinta
sexta XE
ego darec
A+C
Hinc aequationes tres
d+3C
e
5HaC
 1IV
d
di
a
CLLKEK
C. H C
fic: c , 2 X+X
AdX3 Co
e primaeque et tertiae + bduarum mediarum continuarum)
proportionaliam dantur; alia autem quaeruntur
dc rca  X I
A+3C
AeC ago pnendo e
seu radices per anguli anc rations sectionem
C XIH V. se C 2Cx 1X4 X
Ergo c- X + X3
sex aerrcaene
a
exY  rursus X+X 4 fiet Xy + X2, dy. 31
tay -dxy - X 4
eno 
16
TIdy-X
X3
ac
et ac p, VC
(13
inveniri posse. si fecipemus. V. X X +
(+X C X + X  C. seu Ky +X Cy
cx 
cx
a
seu ae H C
ater
problema semper esse sunde solidum pujum.
seu
+v
19y.6
protribus incognitis
6. c. y.
a
au
la 1 YC
t
ti patet quandicunque aggregatum secundae et quartae
C
ae+ à e C. seu 48 a+ er 
a
30X+XX s vig e
5, () 4+30
2
a
a+ ec+ ae + aC+ a+C
de cdeare = cae ae
Ergo
e
cum aequationis duae sunt radicesa
prima erit y-b. secunda sit C. erit
15-61
quine e
at + ae d. fiet: a+ er
a
1 seu d +3C ponendo f. fiet
1t
e
expuon a+C + 3ac, ate
egtrevn
alita
aa
e
Racta e.
Dn
e
et quarta, et ex prima 3si et quarta item ex secunda et
tertia C et quata e. et ∞
ex e
0
quiuta, invenore aggregatum exchait prima et sexta 
e +AY. 3+ANC 2151.
c qu’excotra
C
aypu