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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 5, page id 175906937X:0029
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=29
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 75 lines, status machine
# Lines: 75 recognised, mean confidence 0.83
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# After the first blank line: the recognised lines in reading order, one per line.

bre
cribo
emel
Iuen-
Acta-
b8c0
vel
nOn
quod
ictum
rodu.
5 Ila
ellari
ANI.
poet
a
dum,
Ones.
qu
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a, d
radte
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cab
MLATHESEOS LLHEVERSALTS.
per 2a, 3 a, 4a, _c. Simplicicer incellisitur quantitas abis, ter,
quater, ac. Cumpea, hoc elt, a libi ip(i tories addita: at vero per a
a, at, ec. Ouadratum, Cubus, Ouadrato- Ouadratum, eec.
iplius an hoc est, ipsa quancitas a cories polita d mulciplicata.
Exempla multiplicationis simplicium.
Mulcipl. a a aa ab ab ab
per b. a
a
cd
a a
ab
a3.
a3
producum ab. aa. a3. abc. abb. abcd. a3b. a
Cbinocandum in a3b, producto mulciplicationis quanEIEaTUI
aa ec ab, numerum cernarium quantiratem praecedentem a re-
spicere, non aurem lequentem b: quod, cum brericaris causa leri-
batur pro aaab, in omnibus limilibus calibus quoque est incelli-
vendum. Eadem ratione, ad mulciplicandum a3, hoc ett, a a a per
a eu a a a, PrOdUCETUI a, hOC eA, aa a a a a.
Ouodsi quancicates occurrane mulciplicandae, quibus numeri
sire inceori siretracti, peaetisuntur, oportebit dictos numerosin
Peinricem ducere, ut in vulgari Arichmetica, et eorum produ-
ctum praetigere producto, quod exsursic ex mulciplicatione
quancicatum dictarum. Cc ad mulciplicandum 2 a per 3 b; mul-
ciplicatis 2 per 3, Prorenit 6, quod si praetisatur ipli ab, produ-
eto quanticatum a ex b per inricem, erit quaelicum productum
6ab. Similiter mulciplicatis 2b perc, productum erie 2b6. nam
unitas, qua hic ipsi c praetigi subincelligitur, ducta in 23 pro-
ducie 2.
Nec alicer te, si ad mulciplicandum 3 ab, hoc eA, ter ab per
20d, hoc est, bise d, scribatur 6 a bc d. Sic ex, mulciplicaris = a a
Per= ab, hoc est. semisse iplius a a pertertiam parcem ipsius ab,
productum tier s ab, hoc eH, 5 a a a b.
Nulcipl. 2a
PeF 3b
Exempla multiplicationis.
2b
3a 3ab
6 =d 2Cd
2 a a
3ab
et e
3b3
3 a3.
product. 6ab. 2bC. = a d. 6ab6. d. 7 43b. 3 a3b3. 4a
Ubitandem sciendum, quod licet ex mulciplicatione produ-
cantur quanticates plurium dimentionum seu licerarum; carum
tamen