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# Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53)
# Folio 32, page id 797370323:0472
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motorhiea
principiez
rro5 be a5 = c0 1, rhen x =3. and (o in
Otier Cales.
It che Arst Perm ot the Series, and otchie
Ratio OE che Terms be che Pame, viz. it
r = a, chen y=
p2 C 5 V
re, and consequent
ly ilche trst befinice, and che last nochin8.
D= r-3 25 allo it the first benoching, and
chelast tinice y=
5 0
IEche Airst be finice, and che las nochine
and ic be required, to find che infinitely
EmaIL equal pare ot ehe sum ot such 2 PrO-
grettion, chen ∞ x= r- and conlequent.
Wy X = (by che Rules oF Division  ∞r -∞
For Lxemple, il che Erst Perm oF che Se.
dies, ond oF che Rario oF ehe PerS, DCI,
and r 1O5, a5 1 10 =, chen x =
 31 r
∞ H ∞ 
∞. 1. C. an infinite Number, oE tucti (mall
equal paris is equiralene 10 2.
IP ic be required, co find che Ratio oF cho
Perms OE a Geometrical Progression, concinu
allys descendins, Wrhose tust Term beins, a
irem duancies, may have is, Cu ae, late
di
equal
equa
bc
I
ande
cheFI
Ratio
Cale
qual,
lup
auid et
CBHCI
LC. MM
becaul
C0 2
ac dist
dirterer
Jact ali
lels etia
Series
puethe
aHd eHe
aIcterer