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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 3
# Folio 4v, page id 00068098:0008
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qu binom
ex ex
e
duat 8
Menvrabiles haec est observntuo, si qua unquam. Apphentis Hyperbolae ita crescere.  quon
semper hoc modo idem manet X. Et quomem idem manet n, p eo omnia possent
dividi, atque cipsum omitti, salva seriei rave
Quondam autem X semper cresat ita
arithimetica progressione, etratu 9. semper arthmetica rahiones crescere putandum est
Fictu senes hac.
Y. = m. ad est, omnia ducenda in M.
G41am (G= CA X. = 4 +1 quia X hic = 1.)
29+1E n (9= 2, qua X - 2.)
t 9+ 941  (9 = c43.)
st + 91 +
1+
(9=c- 4
serei hujus ut fiat modituo:
0
E + g04 9
error
15
9
21
9 d
et ita in infinitum
ddD
14.
Sed sciendum est hanc adationem decipere, nisi
caveamus, quomum scilicet G, semper mutat ratorem resumenda ergo:
29(392 +9)
e
91)
969 +90
+g = 39() g HG +9(3)9 +9.
9679
1 + gr +9+1 d 390)96)9 + (9)9293 4 g ()g ()g g
sed haec procixita safficit ergo repraesentat sub signo C
aeterum ne laberur aut potus ne sapra forte lapsi simus, resimendus est Ententus
mge)9 + ma +n
9+ mg
5898
mg 19(9+ mg Eg + mo 29bi9 + mg eu, 1
4 mg2 ()g6)9 + mg 9, + mg. 11969- +
+ mg (19.
+ 9 +9
e a
+ 0
396)9 +()9 +96)9 +
9()9
9 (3
natet ergo supra fuesse erratum, diversis g. inter se confusis
in summam inquirendum est. Ponatur autem CFX vel est 2X vel C- 3x a decrescese semper 9. eo ut
terminum per idem 9). multiplecari per quod dindit
m+ 
+m+m + mo ec
++ eae quari summae omnium, ac proinde
postea abjectio, g erit debito major binario semper autem quoties abjectio fit, toties, addi potest ma
oma ipso
on cus
sed g. est mina unitate quam proximia aute Caeterum quod omnium maxime notandum, summu
etc sicumus
omnm aspe
calam
sed semper appo
summam dujus geriei inire est Hyperbolam quadrabe, ut tandu inde tentemus approstugationes deuvare
donec plane eoanescat, tunc manifistum si unumquem
seu toties poni quod in 9 sunt nul tates; ac proinde mq
prnsan ad hana vel sm e i vel 2mgo-m
t esta mulli
plecalio
otmucet
differentarum inter applicutas. m. 
haec alias id dlias peculiari dabula accuralus deducendum summa
+m
+
ipsi R, ab spatio Hypibolae symptoto. Atu, hoc ihum repeti poles nisi quod notandum g quod abjicitur hoc
modo fore no majus unitate numero termini a qu reperigonu termini, a quo abjicitur si iterum repetitu