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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 357, page id 826603459:0403
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.77
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1
CAP. 39. De Rcenla Aurea Con posita.
35)
invicem ducti, protertio cempositae: terminus antem alter, quaesito hemo-
logus, pro secundo
Verbi precia; in exlemplo prius expolico: Si a viris 3 mexisi-
bus, expendant libras 20; 6 viri, 12 mensitus, expendent guor libras e
Protermino primo analosia compotitae, TuaTUK Y2 = 4+3,
(nempe qui sic ex numero virorum primorum in numerum
primorum mensium ducto; ) protercio, 72 =- 6X12, Cqui
Ec ex numero lecundorum virorum, in numerum luorum nen-
Tum ducto;) pro lccundo durem, 20, numerus nempe librarum,
hoc eA, cerminus quaesico homologus. Adeoque tocus processus
sc conttabie
4. 20 : : 6
x 3
+12. O.
22. 20 :: 72. = - 120.
20
223 1440C120=9
Similiter in Symbolis: Si personae P, rempore T, expendant li-
bras L. Persenae n, lem poro 7, expendent qHo1 E Fuca X, numerum
quaeticum. Dico, erie ut PY (= PXY) ad L; SIC i Y
= X + Y) ad a, nE erUm guaHILUM. NCMEC PY) N ZX
L.(n. Procellus hic exic.
P. L 1: X
XF, 2.
eT. L :: n 8.k
+I
Edt
X XXI.
Peratiom nusas Co Polita lallo. lide Demoolliacio, de Pjudem de
pendet ab ejuldem cum praecedence conveniencia. Cum enim. monstratio.
uc supra ostentum eAt, Analosia compotuca, relolritur in binas
litls
. 2.: X
P. L :: X
7
ErI