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# Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53)
# Folio 53, page id 797370323:0493
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=493
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.82
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

X
bc an
Coc
trom
IPPC
ose
GL bC,
FOr
ex Or
Ct haS
l L
MCaTeF
lecond
e lame
L you
ore che
te AC,
infinite
5 = 0
dau
DE satural Belirion
and cheretore chele infinite Distances AC
must be different accordins co che different
Values oF ot n; and consequenrly ot
any ciro oE chese FEyperboloids Y X = 1.
Whose Concurse wich che Asimptote AC,
We haII denore by ∞ a; and y X = 1,
wrhole Concurse wich AC, We Ball de-
noce by ∞o b, I Cay chac a as lels chan b.
Suppose n = ∞, chen OL = a
= = = 1, in Which C a le che Ordinate
CL, is constantly 1. Wrhich is che proper-
ey oF che Parallelozram AC XO L. wetrich
Chews chac all che FEyperboloids y x = 1
meet wich che asimptoce AC, belore KL,
infinicely producd, meet wich ic; 25 2110
because yx ∞ = 1, is che Lquation For che
intinice Parallelozram, ic may be reckon d
amons che Fsyperboloids. Phele chines
duly considered will remore aIl che Dicti.
culcies ariseine in the differene Lxpressions,
Olthe Pperbolick Spaces, in respeet ot che
intinice Parallelozram, Cor cheUniey is che
lame in boch, ouly che Number oF che
Ddd 3 Ila 704 ertrs
et BnEDI