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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 135v, page id 00068201:0270
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Videamus an aliqua arte formari possit radix cubica hujus quantitatus
1 + Y- 1.
Reduxi enim omnia problemata ejus modi ad
inventionem hujus quantitatis
unde GF 2 +b Nam G ri +1
Unde aequatio:
est
+s1
+1
83 -68 =2 fi0
5
d F) 3 + 1 + s- 1 + 591 - s- 1
+3 ) 1 + s -1,  = si X
At 1+ s∞1, 2 1 - (∞1 a. 2
soluit tamen et loco quantitatis 1 + L 1 vel etiam haec
ad hiberi+
ut autem possit radix rubica extrahi ex
cum alia radices fiet: ab 8 +. D f-1. foet 8:
H 3 + 398 + 98
et d 83d
93
et G 9d2
s
e6+9 2497e
89h.
+389Y -1
97
1- 1
1 +9
quoniam anten difficiter videtur extrahere radicem ex d + s-1. dadeor
ubicam
resoliere aequationem 32 (idemque est de aequatione 33) ideo non videtur ipsas 
vel C quaerendas; sed ipsas h. Et l. rursus explicandas. Ponamus scilicet, aequationen quod est . . .  ar 7 +ar s-1 2) Et conferendo memibra horum duorum
18 non esse ab initio datam, sed tantum da tae ab initio praeformationem Ut
si data ab initio fuerit
Co + - aH C - aeL 
(46
a5,
het: (y X - e H y- et 10, qua coincidit cum aq. .8 qnem
sio num LyhA
et H
2L
fi: loco
47)1
= ah Y - al 570 adeoque loco aequationis 27 ita scrbendum
ira ac appellando p S1
et quia ex comparatione 47.
fiet bl (e2
(8)
erit.
hp e H. et
-aL , + 2aZC
 251
13 2a
=3tC
0)
a0
(61)3
b.  a + 2 C H
1 aL
jet
2743 a
a
Quem valorem inserendo in aequatione 32
 +3 bl 64
+3c2F
+3c t
= c3
Io habebinus
+ +34 a 51 C - 4 +3 - La + 21 5) a e 5)
- 3tc
cinus aequationis spe valor ipsius eodenique pure
ac sine ulla determinatione habetur est enim:
etiat
 nemorabitis est calculus, et ilud inter caetera
considerandum, quomodo ex cubo imaus nario ex
et distorta ex t +cs-, in se ducta recollectus
hic prodiert verus ex
2743
a6
251 (53) = La +2Le5i a
a
=L, 456)
ec Hetec
2H3
a2
1
+ =C
a
15
+3ct
+3et
3
+3et
+3ct
 La, l- 3ct- 3c+2 +C
+3∞2L51a, + + 4a51
+3CF
+3c +
c3
-37c
Porro + et c. manent arbitrariae. Invenitur tantum e. inventa e, habetur
h. et l. allude jam  b. et ope b. l. h. etiam S. et D Hunc calculum
ergo absolutum restat ut eventu comparemus comprobemus compendii
autem causa +3 - 3FC vocemus  B
ponendo B, f F - 3c.
(60)
Et
C3 - 3c+ pocemus EC. ponendo E F C - 3 +. et erit C Ha S La, D+ +5C
(61
251a - DI La ndea
Zc2.
Resumita jam oquita
d + s1 conferendo