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# Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53)
# Folio 65, page id 797370323:0505
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=505
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.77
# 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.

e orher
= m
Oehien
 X
M F X3
and x
evhiem
ly greae
F, and
M 1
13
Cale
e
AE saturat 
Case che Fxponent oE x in che tirst Perm ot
the Value ofr, becomes Negacire, and x in
che lecond Term, beine suppos d infinitly
Imall, rbecomes equal to = = ∞0. And
Coche Curvature et Tuch Curves, aecheir Vera
tex, i5 infinictr (mall (For in all such C ales.
the Curvature ac the Vertex is reciprocalty
proporrionalto che Radius oF che Cirele Whieta
couches che Curve ac chac Vertex) in respect
OFthe Curvature oF 2 Circle, and Coche Curve
AB Will FaII wichta che Circle AL, or che out
Circle will  che Curve. fall Wo. h in
Exemples. IIm = 2, chenr=
 0. IFm = 3, chen r =
IF m = = chear
∞: IF m= 
2  X
chienr
X
=∞0. Leembeany Number,
interer or fraction, let chere be cvo Curves,
m
iphole Eiquations ATC y = X :, aHC
am-+
a