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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 239r, page id 00068201:0477
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23 = 3 abZ v c3
23-624Z V 4480
X + y HZ
3Xy v 624
Xs ∞208
2~ 208
208, 7.
Methodus est
Huddenqu
8998912 +y9 ~ 4480
73
8998712 +96~ 4480y3
96 -448073 ~ = 89989C2
6198400
y6-448073+51984003800512
y3 2 2240 ~ Y. 3800512
153 V 2240 + 19800512
2~ 1B2240 +38005C2 CV 14 +V- 12 )extrahendo Radicem ex
B X~SO 2240 =1 3800512 ~ 14-V- 12
Z VX∞y ~ 28.
Schedrasima de Extractione
Rgdicum. Aeptembs 167
6 03 28
99
16
c3]4480
a16
13
184
53
1747
8c
1952
Schotenii provenitent
duiis A. B, memodo
D.
8⊓0.
dividatur per, Z
i nen o
BIBLIOTHROM
RBCIL
MANHOVELABa,
+262
+ 160. 10.
6
4480. 0
24
Eogs
5067600
3800512
88181 12
am extrahatur hincc radio, fiet:
 + 28)
+
196.
q + 297 + 784, (184) 196
4 160
Unde Z + 7 4. pp 8, p sive 4 Z Y
25 - 140 64 = 224 4 460 2
+10Z
+ 160
Binomiam ex quo radix cubica extrahenda: 2240 + 3800512 vet 2249 + (3800512 S-i
sive 2240 +  159283 F
exactum 
Videbo hic obiter an in radicum extractionibus aliquid fractioni
59583
4
simile, comminiscilicent, quando non sunt exacte, saltem adhibito
binomio, sive nova radice, ut hic restat. 61 erit vergo Y19382,246+ bc AAAB Y
5938
59321 Ergo 59382  24b +  4 146 4, + 2460120
sive + 61p +
sive r9r2I o
uane
a
510
d2+2
2
Sbet ac, r b + ac. Eno ( ac 1 (6 + abac +  aec Ergo 1  ib + ac suc  prbispeo
(2)
sive dnique  y + aby + b  b + ac: Ergu ya b p sVrac. Ergi y(B   ac. Ergo F sac
Ergo y 2Db+ ac Ero Ergo y H sB pac +b. Ergo S6 +ac  b + ac
b ac +b
sive ) 16  ac p 1 + b sb tac + ac, sed praeferenda est expressio expressio ag. 8. eadem continuari
Nb + ac + b
uoe retitatu, am usa iq ine cerdti dorae
isto et  i eea anifili
b. + ac
2b + ac
vel pi b + ac
Semert
2b + ac
18
s
2
2b + ac
ressomet
6
ps
n
G
j
pocetrau 2
a
6
16
192
30012
368
21