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# Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53)
# Folio 40, page id 797370323:0480
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Bhiotorbical
Drinciptes
eo boch che ssimptotes oE che appollonian
FErperbola, is intinice; and che whole SpaCC
on boch ssimptotes = ∞ 2:
IFn = 2. Etic Area ABCDL R, becomeS
Xi 3
3
or (compurins only co L Htere
AI = X = LF = 1) che Area ABCDFL
= 2) 2(= 1  2. f 4 f. 8
de
DeseOC
 16, 8c. Now chis is a Ceometricat PFO.
prection, Whose Arst Term is 1, and it ic bc
continued only eill its last be co 1, Cince rhC
Ratio OE che TermS IS 1 FO 2. iis infinite-
1D3
ly (mall equal pare, by che precedinq Arti 
ce willbe x =
2
= 2. and (O Fhe AW
incerminaced Space, contain d berreen che
Curve and ies Asimptote, in chis Fyperboloid,
ould be equalco an infinite Number otocn
EINOS, Or ∞ 2. 25 allo chis Space wouldpo et
be double ot chie appollonian Fyperbolick, oqu
reg
Space.Pnd likevile, becaule wten
n = 2, dnd y = 1, che Space BF FIL
n als
nLY
ex
C2)2) an G1d02 (letoni
3A3 8e l
68
10 10. 13C 313 70 +1131
and la
CD.
 beibu
de luat
the FI
rote
Polirion
equalL
Itn = 2
eleutre
urlica ch
et
ietole
l5 egal
epon chae
1-
te ob uo
taccesl
Term ot