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# Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53)
# Folio 7, page id 797370323:0447
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=447
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 recognised, mean confidence 0.86
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

lithie
xpan-
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5a150
ln in.
lacive
finitely
Great,
GrCat,
Dec. in-
cretore
finitem
chere.
(maII
(mall
limple
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chey
res it
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e must
nSdeF
Dt patural ve
consider hou any finite decermin dumber,
is increas d or diministid, and 80 on in
increalins, or diminictuinq in infinitum, and
chus trame our Nocions ot infinitely great
Or small Numbers; Thus, it ve add unicu
perperually co icselt, we all have as great
a finite Number a5 Wve delire, and it We con-
tinue chusaddins in infinitum, we Call ac laA
have a Number greater chian any finite OnE,
ho greac soever; i. e. We Chall have an ina
finite Number, noc actually, because We can
nerer actually 80 chro chele infinite Addiri-
ons; Bur Virrually, 1. e. We Chall hare che
Progression, or cheReprelencarion ol che
Nacure, oF luch a Plumber, whose Sum ac last
vrould be equalto an infinite Plumber ot Uni-
cies, or ocher finite Numbers. And becaule
a constant Addicion, (o many cimes, ot a
decermin d Number, is equivalene eo a MuI-
ciplication oF luch a Number, by luctr, ano-
cher Number, cheretore wrhac may be had
by 2 perpetual Addicion, may be more
calils obramed, by lome one or more Mul.
ciplications, join d cogerher Lihemile,
as by a perpecual Subcraction, trom any
A a a 4
finite