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# Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53)
# Folio 30, page id 797370323:0470
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30
hintorhical einciples
Mulciplication,) Or che insinitelu, (nZH, equa
pare oC such 2 Sum, 1sequal r0 an infipile
Number ot halves.
IF instead ot che common Difference,
the Number oF Terms =t, had been siven,
chen had y, been equal 10
1 a.  12
2
11C3d
a be pur equal co a tinice Zuaneiey, 2 = c
and F = ∞ 1. cheny =
∞ a ∞
∞ a
(by che
2 etde ABVadd LDEBB
Rules ot Addition). and che infinitelr
mall equal pare ot such a dum, Or c 1)
3 C = 2; Tor Fxample, il a = 10, 2=
0
1= ∞ 1, then v = ∞ 5. Or chesum oF. 2II
che polsible drithmetical mean Proportio.
als, becreen 12 ando, is equal eo an infi.
nite Number ofFireS, Or Fire is che infinitely
tinall equal pare ot suct a Sum ot Arichme-
tical mean ProportionalS. leritis Bns
O Suppole a = ∞ n, v = ∞ My i
∞ = Pn = ∞? Pm
 12
chus il infinites miohc be
Suxposd, in an drichmetical Progrestion, e
phould have cheir sum; tor Lxemple, il
d et.
n = 2, M == 3, P = 1, Theny:
3t
3 3134d
8e2. +6) 3-
23 _ Eb  
by
IMAIA
3
ROVIO
i975)
COncInI
che lal
and che
il ehe
CoreS
CO1, Et
ginnin
in8 on
2
Dart O
An
the inti
BFEISBE
∞ x
2
195 b0