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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 33r, page id 00068124:0065
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antur 8+ d equa d+c  1s eed pponatu equ
et puendo d+c+ao d0c rd seustacer c 
sed pamo
non licet au
d’aequ nis drC +2de aequ. m3 17 + 1- 2cd. seu daeaqu.  m
c-C- 2de - cd equ il+cd. faciamus d aequ fcC
fiet: cte-2fe ef d n ret
euesqu
1c
Datum cubum oblitri partiri in duos
d’+C3 aequ. hi3.
seu d-
seu d.
cubos.
haequ. m d+c. Ergo d + c- cd aequ m, d +cq ud
3- 2cm
1- m3 
4
elcet
=c - 2c m aequ. f
E 1- m3
Equ. 4 (2)  c. Eem + m31C
etrcm aqu. sC. m4 +C m) m 2C m + m
21 - m
4 = B M + 4 mo
tc + 2Cm aqu E Y () 1- Dem - 4(3) , - m
2 - dre
sed difficili. paulo est efficere ut -7 +16m B8m+  4m sit quadratque
la problema aliter aggrediemur, unde apparet multum
interm
2)
d+ C’ aequ. h. Ergo d’+C + 3dCd Hc aequ.  h2 + 3 de, dc
ponatur dac aequ. l. fiet. l’aequ h3+3 de dc. sive l - k aequ. 2 de dtc
fiat: d+C aequ. m 1- h eritue P+ h + hl aequ. 3dc m Nam.
nimirum in aequ. 5. pro d +c ponendo valorem ex aequ. 6. et utrobique
dividendo per l- h.. jam. per aequ. 6. est a aequ. m l - mh -c
quem valorem substituendo in aequ 7. fiet:
l+ h + hl aequ. 3m d - 3nch = 3mc, et ordinando.
(10)
P+ ti hC
s- (h -13 - el
N+I +lh
seul = h3
h +I R + lnsmetgnie aqu. l’ +olmer guic, +, 2ni le - 12 me
+ 3uc
(11)
quod rursus ponatur aequ. l + lcn + c21.
aequationes, una: ha lorvis aqu L + ca
Tende oriuntur duae
13)
L + 1h + 1 46mic + quie laqu.  + len + eri, seu h + mC aqu (1+ cn
F3nC
(14)
(12)2 12
et: (17 +6 lm C +9m C (4 12 m. 1d = 12 mC aequ. (17 + 4 len + 4c
divisisque omnibus per C, fiet: 18lm +9mtc - 12mc aego 4 ln + 4cn
supra autem habuimus: d+c aequ. ml - mhr. Ergo pro tribus
literis. d. c. C inveniendis, habemus tres aequationes.
Nempe per aequ. 13
sit: C aequ. het 2h. per 13. et C aequ. 4ln = 181m ex aequ. 1
n - 3m
et duos ipsius Cvalores aequando fit:
18)
9m + - 12m = 4n
laequ 2h, 9 m t - 12m - 4n
denique. d aequ. Emh, 9m - nm - and = mh 2h n - 3m. 4 - 18m2
n - 3m, 4n-j m
dere
n- 3m
(19)
Unde jum d’ye  esse aequ. h3, substitutis valoribus ipsarum d et C.
verum ad huc debet esse aequ. d+c per unde ex aequ. 6. fit:  aequ. ml- inh
q nh qui vator aequandus est valori reperto in aequ. 18. ubi
m- 1
patet primum destini h. datam quantitatem. ubi sx poneremus
2+ m - 1 vqu0 fieut, n - 3, 4n - 18 aequ. 0
35
id est.
(25)
ponendo e in aequ. 1 et n aequ. 3. vel n aequ. 9 35
erit problema solutum. Tantum videndum an numeri, d. c. fiant atigmatir
ed vndeo rem non procedere feres enim per 20. Claro ip 1g0. 0