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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 173, page id 826603459:0219
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=219
# Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000219.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 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.

C A P. 20.
algebrica e Speciosa.
173
A) AgE (AB, quociens AF in divilorem A m P. dueivo, dac
A mF) ACMFC (A9+ AF. + F.4
A C un AOF.
+ A gF ma b. C
A QF m AF.9
+ AC. G n LC
t AEG L EC
00 00
AgE  AEq; _ Facta subductione rectat aEq un EC. Tandem,
cum A) AEq( Egs _ Fg in A i F sE AF9 m FC; subductione
Facta, nihit rectari adeoqi abloluta est operatio, et quoriens
A9F AF + F.9.
Acq idem proveni
et l a dexera incipia
inus. Cum enim AB
nc) in e (c2 erio
quociens e=, _ e= in a
 e CrItae=  e e
Facta subductione, res.
duum a = ac 2. Tum
C)  ae= (4 aC; &
aein a = eeAt aee
a n 0) a e = (C+ + 4e. F a
ac2  c
a2  aC L
20 m ae
a in a
00
e
ac 2; _ subductione facta, residuum est a = a~ e. Denigue
nn c) in a = eC a 23 _ a = In a  C eA a = a = e; _, Facta
Subductione, restac nihil. Ouoriens aurem estut prius, nili quod
qui cunc ulcimus nunc primas eA TerMIMAS.
ad eandem Formam; E diridenda esset eadem quantitas a5.
 per a + C. CUM ACa) a Ca; e a in a + eNIT a + a e;
0) a me (a2 m aC40 m 0+e,
e
a2 e ae2
ac in e
ac  4 e
a
Ca  aC mC= + a+C
n aC= moe
2ae
Cacta