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# Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53)
# Folio 46, page id 797370323:0486
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=486
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46
Dhiolorhical 
tours, eoc. in infinitum; l0 belov an infinile
Number oC Unicies, chere are an infinite
Number ot halus, ot onc chirds ol one
Fouretis, esc. in infinitum, aIl whole Sums
are dcually Infinite, viz. 25 8boe
= 1 F 1 f. 1 - F 1, ec. There 1S ∞ 222
f 2 -] 2 F 2, e5c. and ∞ 3 = 3 Y 3
 3, ec. and soForeh; (obelo c i chere
15 00  =  f .- f  f , esc. 21dd ∞1
2
2
= in . L.  , eoc. and 10 on, all wtrictr
are real infinite vancities; Por an infinite
Number, oF finire Ouancicies Wrtracloever,
makes an infinice duancier; and cheretore
che sum ot an infinite Series, ay be equal
eo che sum oE anocher infinite Series; pho
cheir paris be all unequal, and boch have
an infinice Number ot pares, becaulc, the
chedTumber ot pares in boch, be infinite,
vec cher may be differene infinits, che Onc.+
Crcacer, che ocher a Lels; chus For Exem.
PlC, 1 F 2 + 4 + 8, + 16, c50. conci.
nuedeo ∞ . may be equa l10 2 + 2 )2
+ 2esc. concinued cill all cheNumber ot
il
OR PA L.dA.
pares, beegualeo  1. becaulechetur Se
ries
r
precec
∞ 1
Came
OFCAEZ
ca De
 A C
LCleS
 LalC
and+ =
a .
is celcair
oc insi
L_DCI
Adccabl
in tac le
Tarty, i
Turat LlI
qe
Colta
LHC CHC
7
eodC
Dec
3 12. 111.