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# Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53)
# Folio 61, page id 797370323:0501
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=501
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 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.

ee
a Cadom
bbb L27
BC
s
y Anice
a Eiice
ce siven
MhalI DC
(DEIC
lec a be
neS)=
enly lX
2
e.
aDE Satural eligion.
+
=0. we have chis Area = - 4. Wrhict
becaule the Curve continved, curs che AXe
altum d,) becomes ] 4. Por che Whole
Area AFCB. IF a = 9. then chat Space is
al(09. = 9 AF X AF = 9 AFj.
The Came may be obrained, trom eho
FGberbolicat Curves (lec the Pigure. Ot ehe
precedine Arricle,) lec AB = AI bC 1,
and lec BP be produed in infinitum, etie
seneral Lquation For che whole symptotical
Space ABDFGL is X =s and callins lyn
D LThe Area 15, = 2, let che siven Num.
ber eo Which e vould hareche incermi
naced space equal be a, and lec m = a- F. 1,
che Exponent oE che Curre Coushe Mall he
n
and substractinq Unicy (= 10
n
the Sguare ABF Y) From che drea FhUS
Found, re Chall hare che remaimine Area
PBFO = a. For Fxemple, lec a = 3, chen
m = 4, 2nd n =
=i and consequencty
alte el Aea aba
ABFFCI
CalIrS