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# Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53)
# Folio 51, page id 797370323:0491
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=491
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.83
# 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.

LeHECHAC
is mucta
sumber
at
nd in tHe
he Came
t che se
chan che
perbolict
Figure)
be intr-
reInleri
infinitelu
1D ChC
psurd.
b
Po eltus ic is anlvered, thac tho cact oF
Thele, be equal co an infinite Number ot
Unicies, vec che Spaces are noc equal, be-
cause chac infinice Number, is noc che lame
in boch, and che realon wty chac infinite
Number, is noc che lame in boch, is be-
cause (cho Boch F C and FC MeCE aE dm
infinice Dictance, wich AB, VCF) FC ICCES
looner Wich AB, chan FC wich AB, i. c.
luppolins che Distance berwcen A and B
(the Concurle oF F D and AB) = ∞ a
and ehie Distance bermeen A and B (che
Concurse oF F C wich AB, it I may bc al-
ToW deo speak(0) = ∞ b, then b will
Be preater chan a. And conlequentty We
Mall hare AFDCB = 1 F 1 F 1 F 1 F 1.
esc. = ∞c X 1, and AF C B = 1 F e
F1 = 1, CsC. = ∞ d X 1, Where d, 15
oreater than c and cheretore AFGD
AFDCB. NNOL omly (O, BUE a P aralleto-
oram, Wrhose Breadch is e, and Whose
Venech is e a, (or che Distance betureen
A and tHe Concurse OF F C Wich AB) i5
GreAEEF, Than etie Fyperbolick Area.
20
make chis yet more plain, let Ak = OL
D d d 2
(CEE