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# Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53)
# Folio 25, page id 797370323:0465
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=465
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 recognised, mean confidence 0.75
# 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.

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et sarueat Be
c. in insinitum, Wvhere ehe Parrs chac aC l
consticuce, chie infinite, are 25 Nacural Num
bers; or chele Pares may be as che Squares,
Cubes, or any ocher Povers ot Nacural
Nummibers, or a5 che Roors ot luch Pouers;
Or chey may s0 on in any Geometrical Pro-
Prellion alcendins or descendine trom in-
finite, or che Pares may trare no regular
Progrection: all chese Varieries may happen
in ehie Parrs, oF which, an infinite Number, siet
consticiees che infinite. Or lastly, che PartS, 10)
ot wrhich che infinite Number, ac lact con. 107
ticures or reprelenes che infinite, may bec. 
quals 45 1 F 1 p 1 + 1, _C. in infini. a ea
tum, Or 2 + 2 + 2 + 2, dcc. in infinitum :  I
For Distinction lake, lec co represene or Ag= Ess
nisy an infinice Number oF Unicies Or In.
finite in general, (For (0 l vould be under
Atood alibays, When I do noc exprels its ins BaS
finitety CaII Parts, chis l here declare once
For all) Oe
35.
 1+ 1 F 1, _c. in infiri. 4.
tum  ∞0, dl(0 lec 2∞ Ox ∞ 2 Or∞ X 2,1
sionity an infinite Number, whole Pares in
infinitum dre 2, and ∞ a an infinite Numn
bex oE indecermin d equal Pares; chen
cu
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vi