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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 121v, page id 00068201:0242
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De Radicibus ex Binomiis qvantitatibus
la 21a+
era
aa + b
2 ea
multiplicetur
per 
fiet:
4ab + V
4a
extrarendis
specimen Universale, in quadratm Radice
a + b. -..
+ b +
vel
ba
da
seu jy
4a
14
iba G
(6a , 2arb raro)
+16 ea 4a 14ab +b 104 4 ab +b
sata
Za +gab
(et b
dava +4
ta
vel pat
2a+ 2a+b
a
sa
2a +b  gtb +
sas ta caia
7a + V
Qua
V+  vel
ga
4a + ab+
a + b
sa sa, 8a +4b
 2a 1  2a 1B
sas ea Ab-sa
diicatur in 
ux
B
sa  8a+ ab
fiet: ad rab+b ratb, t
tam
1uel 2arb, 2. rarb + b 9
sa 2sa, ta tb
seu
asa Zueb, 12a 1, 2 3a rb +b-
ba 2a +b, C2a +b, 2va 2a +k
C2va, 2a +b
os
2a+bea +b 2a+b 1ba
O-
vel
s
a 44a + 4ab +62 2a +b cub) 2, + b 2a +b, y sa
a, 16, +a + 4 ab +b
cum quaeratur differentia a  
vel a
2ia 2a + b
ita aa ttat b C = +
2a+b
a 16 + a + 4ab tb
vel:
t
 +a + 4ab 1b
a 44,9 a + +ab +b
est + b
is
a164a+ rab Ab
jam  +B,. O, - 8, et 0= 4
Ergo fiet Z + D, = y = 4 hic Z + 4-
si
sive cee ergo operationem tandem ita in compendium
reductam, nempe, Residuum oprationis praecedentis appellet 
duplum Radicis appelletur D. Eadix nova = O erit = Z. lesiduum
novum e C seu radicis novae quadratum seu dvidendus secunda
a frimalua
Et quia prima Y est b, Eit ergo prima radix
qu
seu 28 erit = 4
et secunda radix erit
Eer icat. 
+b,
2a +b, 23 n 
 N
u
esa
ta
1a, rarb
sa sa,
vel
2a+04 X
sa Lsa