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# Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53)
# Folio 34, page id 797370323:0474
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34
DBBiIOIOVBUAI principICS
orettion, make ic equal eothe suanciez oiren,
cotrich all cheir Sums Monld be equal; jou
ill find ehe untnown Perm ot ete Series
Couche; For Exemple, il ic vere requied
eo find a Series bexinins ac =, and havins
IIS Ratio = 205. rhich Series Bould be equal.
tortie Sum oF cicler ol che ero precedine
Progreltions, Wrhich vere equal t0 2. then
pin
=, (in chis C a (C) -
5)
2 (L 30
3
9
275
= 2. aud consequenely s= 2. Wrheretore,
che tirst, Permm oFche Series, and oF che Ratio,
bein3
, and che second Term oF the Ra.
tio  chie Series iE SelF 15, L +. 2. 1 25
8
in infinitum, = 2. For - 3
C
n 94 5
1083 d C.
9 - 27 X 3
= 2. C0 chatnoW, eo find
on infinite Number oF such Geomerrical
decoorestions, besinins ac difterene Oudn-
llieies, and soins on in differene Ratios,
rehare no more co do, buc co torm an
improxer traction (25 ics calld) irhose
Plumeracor beine any Numiber such, chac
ies Demomitaror, consstin dP CWOIL exHS,
D
E
Ari
LHEV
Fori
hav.
R
P’ert
10
Com
the A
hon.
equat
Prece
1
et
PaC
ed
BC
155
c