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# Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53)
# Folio 42, page id 797370323:0482
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425
bdolontica Prineu
cedins Section, 18 n r and consequenels
chis Series is equal eo ex , 1 =  )
M
F n -,   =,, ec and iF y = 1, chien ehe
Space ADFFH = 1 + = 
BI
e
700
La s  oln
exc. the Sum ot wrhich is  Pocharicho
Whole Space, comprehended berireen chele
Curoes, in infinitum; aud boch asymptotes, ot
Such excerior Fsyperboloids, (pureino AB 
AT = 1.) is equal t0 1 1
dC
n- , Y n F nd  
1. nt, esc. = n-c upon luch a Suppoli.
rion. Hlence ic appeais in some part, Wha
chose Ceometers meane by che Area soe chele
Fperbolords, vrhich in cheir Language vere
calIdplusquam infinitae, or more chaninfinite,
wrtrich mighie be, chac lome oFthele Llyper-
bolick Spaces, had the equal parrs of orhich
chey consisted, in cerrain RatOs 1O OBC 2
nocher, wrhen che last Term ol che Series
Wasopty c; chusche Area ot che Appollonian
Fyperbola, contilts ot an infinite Number
e
Ol Unicies, the Area oF che Lsyperbola, votrole
Equalion, is yX =1, oF an infinite Num
3e avibex
d det
Wliole L
sumble
ver ot ec
Curve CO
etre infonit
che torm
erhole A
Wvhole S
whole in
Body kn
lelS, che
alcerWare
AqP iC D
a Fperbe
ABCH
ouly c
Fsperbola
Sompiote
Beu
multiple Y
net
u truI
ole
2a L23
quation b
Auda
tyrla
16