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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 210v, page id 00068195:0420
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 211r); this page is its left half.
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ergo
q
= 1
Ergo 6Z8a = X 84- x6Z
(Z = X - _X67
Ergo 694974
Ergo R4 6774974
572
8a
= X = X6)
64a
644
Ergo RqB + 92 +3
In
64a va
ia sit maju quam X. fiet
R96Z + 9
Ergo ta 16a +67. est 4a+
ba 8a
da ota
X - 372
37
fabemus eryso methodum faciendi ex divisore binomio uninomium
v.g ex
1
aCX
C
Nihil est
X8a-
v
X vel O X.
posito x essemaius quam
 a
LX.
9
offac
id
aa
aa-a
aa
a- 1.
a  (a)+ = (1) + = (L) + L a a - a
a a b a-1 b
a -1 as
a-1
X a + 1. + 1 + 1 et. Ex hoc calculo nullus alius usue
ducitur quam quod apparet, nova methodus demonstrandi modum quo
summantur seres decrescentes proportionis geometricae, perpetua scilicet
divisione per aliquam apotomam a = a - a
quadratum ra quotiens ex cubo per differentiam quadrati et radicis diviso
aequatur quadrato diviso per differentiam radicis et mnitatis
3- 1
2 (42 36 36(7: 49 49 f8 49- 7+1 +=
6-1
7- 1
6
eb
7- 1.
ergo a - a + 1 +  contra a +9 f 49(6 = - a - 1 +
a +1, 7+1
a   aquati fandmo reliqua seriei adsusso a + 1. ditta X
a- 1
7+1.
aira do
a fa
ap
a - 1.