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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 54r, page id 00068124:0107
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Cubic
Dit 5+V -2 binomium aliquod cujus radix = 1+V-2, et dividatur sier 5,
r A =1 +3,1, s- 2 43, -1, ∞2)= 28-2
+5 + 1-2 6
evunet 1 +V - 2, et manifertum ertprimm quotienta radicem (ubicam fore -1 +Y. 2. vocetur ergo
25
binomium A + B et iperus recidum A - B; Jam Matet en requla fore, ane
2-2
2, 21Cle 1+2, 272-1, 2-2, 23 (2) , YX . 42, 2. 3, 2- 4, 2- 5 (pE. 6)
-
1.2
2 12,3,4
212, 3, 4, 5,6
Si tam Z denotat radicem Cubidam erit 2X, et quonjam  dit l, eit
qs
+ V1 -LL 2 ∞ 2 -
25
1+ V-
25
ex
s
2
20 14
b- =
.
243
308. 16
13090
2
6562 413343
2
282782
33480782
eo
+2
vel - 1+ su2 3) 5+ vor 2u. 
3
2-1,2, 2, 2-7 2-4, 2-5 220, 2-72. 8)
1,2.3.4,5, 6, 7. 8
+NI -V= ∞2-0222222222,6 -008230452700469440630-00316686148 -00233800391. et:
9
et reete
aa
 et. reducantur omnia ad decignalia, eritq
si
7011ICCI
3,8
dijam iudititnatu loco ipprimo bt et habebii. Cnma in flculo eba ulstitui- ve s et ieo fent spu. 2+ ts  
3
11+ V.
 
2+
0
+
V
nam b aego. = V. b aequ + 2+ 25
ba b aeqo = Z,. Et ita porro
=∞ 2 - 1777777778 -0658420216 -0270rr 2504 -0253245912-0187040312
25
 
2
1+1- 2 + p - 1 - 2 ∞ 2 - 001777777778-000052673617280000024025260256-0000000 9714692944-0000000076611717952, etc:
2
2
correcto calculo ob sigmamntant fier. +2 4 1c 12 - ... . 1 1 = 10vir 1g1... 12 4 ..  d .  ......  . .. .......
Quaeratur jam humura hujus prograrionio infinitae,
Sultrahatur
e
s
001777777778
000052673617 28.
000002903536,0256
000000129714. 64.29. 44
000000007661. 17. 11. 79. 52
001832992307. 11. 97. 23.52
200000000000,00.00.00.00
iterum error
Cur enim in = 1709y53
et non potiu in frzogg5)
1709953.
= 19816
11969631
1025971 8
1709953
nam 5+ L-2 non divisimus per 136 79624
5 sed perts.
c38957 7
1709953
.11 4. 11 1a - 1211.
Quod ducatur in e5 nempe in 1709953, et inbenietur = 3. 38856256 1 51, quod tamen circum ciaca 2 etre de
reliquum erit 198167007692.88.02.36. 48
000, 201727 multiplicetur per 45 seu per 4 1.70995 fiet +3449(053 etC. Estantem 3.449. idem quod 1+ 56.
sebu
lot
similite
nam S6 est aequ 2. 449. Tamebsi ergo non prodierit 2, tamen prodiit veritas nempe 14 56. C ita
demonstro
1
5+ Y. 2 est aequal.  - Y- - Y- 4 + S+3 quod apparebit si  quantitas utraque cubetur 69897
3
5- s.2 est aequal. 2 + S.3 S- = + (+2. Ergo 35+ s.2 + 15 - S.2 erit 1 + 16. L. E. D
293
rtem
Talculus corr
addenda 20000
7
0d
fiet: F201YN
= 5000s L
201727
y
0000eL
2.017
1701
14
15
201
44gc
ut 2 2
(- 2
veret
201727
1099+
E