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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 28
# Folio 24r, page id 00068241:0047
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6 julii 167∞
V1 - X2
s
+
1y. 2 N y 2tX = X  y. aequalio circuli
4
X⊓ S +2yX + et.
I3 X 1 y + X - y - 2y+
XNA
e y
+k (I +2X74 1
=X2
Extractio radicis per serjem infinitam pro
orinata circuli. aartem comparatio serimi cum serie differentiali
Erit X p∞ Erit XY ∞+ X.
4
+ 1
+
+12
1 - ∞ p 1 = x -.
5 + X -
 AX
Ergo X F)
y
atbytcus
Xs- X2
(+X -2 X
te
CQ VH r - X. Ergo Y dy p = fdxX
ty p - dx x
quaeritur.
3
cucus dramete
6
an
XHγ +3yX +3yX+X
a
a
t +
X (, a+ y 1 + Y 4 V ut y + + X X
dx 
e B C B,v 1,2, 2
0 + di + y
a
e
u
+ 
ed
a i + re
d
a
+ de X .
in  a
Lore a
Series talis, quae si per arithmaticos multiplicetur fiat senes
diminaturque unitate sit et quilibet grodus exponentis uutate
dinimiatur frat eadem cum simpliciter diminuata non multiplicali
seu X+ a + by + cy + dy esc
ita ut sit X 0 + pb + 2cy + 3di est p) a + by fb + cy+ dis
e
seu by +2cy +3 dy3 etc p a 4 bus + cy3 + dy. Ergo apbys.
bp  cH b. de c. en.. sed res ni fallor taatum ab. initrum
non procedit, quia non potest ap by. alioqui da non dediset o. quod
si ponamus le a 10. nihil habemus quod ipsi bus aequetur, sed rvo
verte
d
6X) +Ox = d
b2
1
5X
ax b+ by+c7
+0X +30 X - 20Y + SX
a
ed
e
5
x a ni
~ 2
a
V2
+
de
de
+
X