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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 142r, page id 00068201:0283
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Ergo ex aequatione Y H imn Y- 5mn Y +m hanc fecimus:
d
+n5
Smn Y - sm y  5mn V -5mn + +m
sive Y X - smn V - f m y + 5 mn
++2nin.
3mn
sit jam aequatio cubica
et pro W ponento V +C, fier:
V
+ a5 -2nin
+3
ponendo M n  +a + f n
a- f
in tractabilis: Y a cc  - q Co + ar po.
1 +2CV +3C P + c3
s.
c
+ar
+C
2
a
te
21
. ) hmn
eut conferendo:
0
5 c a s
= 6c v - 8c31
a + q y
abq omn
- ab
= ab m -
ab 2 m
l n3
+29c.
paer.
3m
a+
ab  2t m
3m 11 ar
=nn
Y + m +2mnY + bY ,sia YH  b +a m
et m 4 - ab et n p, 4- aB. - 39ab
in 39ab2 q
2 m3
ari
Lab
dividendo aequationem st n erc. fiet
en
692 -b9.
eut Y ⊓ n +Omn Y.
XT
+9 = ab
sive m - ab M
V 
6
e
n
onraa ru u
+ 2b mu
+ bc
+34C
3car
1
4
ab
+
b... + 3bC.. + 3bC.
3mns
Cujus ut tollamus Terminum
secundum faciamus: be 3C.
fiet:
st y A m+u.
ta sic y in +2mn. =abm ab.
erit. Ma F
et fiet. M +