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# Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53)
# Folio 33, page id 797370323:0473
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=473
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# Lines: 58 recognised, mean confidence 0.77
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naloi
dotche
viz. dil
equene
Octiin8.
8. and
ochins
nfinitelu
a PrO
eguene.
Y n ∞ 5e
he Se-
be 1.
 ∞
(mall
OF cho
BMEInII.
Deip e
A. last
equal
equalto che sum oF anorher Progressien
beginins ac a differene siven Ouaneier.
andgoine on in a disterent Ratio, Suppole
chetrst Term oF such a Progression =, chic
Ratio Ot ehe TermS, a e0 1, ehien in chaE
Calo, boch cheir Sums must ac last bc c.
qual, viz
2
m 5
p2
= and consequency
; Tor Exemple, it r t0 s, be
supposed, ad 1 EO L ehien a - 1 - L r =
13
and cheretore che Geometrical PrOGrecTiOM.
concinually descendins, 1 +-
Qc. in infinitum,
2 +
8
a
2 
9  27
1C
83
313 CC.
because boch cheir sums are ac la s equal
e02. And ehus an Infinire Number ol
difterent Seriess may be found, beginine
at difterent Ouanciries, and going on in
difterene Ratios, Wrhole Sums, may BC aC
Las all equal; For il vou pur, a Gnanciey
lels chan cheSum, For the hrst Perm of che
Series, and oF the Ratio oFche Terms, and
puethe second Perm ot che Ratio unknoa,
and chers collectirs chie sum oP such 2 PiO.
ulicis
 C
prection,