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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)
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C AP. 19.
De Divisione.
FRautem Diridere, Namerum quemvis datum in quoslibet aequa. Divisio
les partes dirimere; sire Numerum invenire, qui doceat quories numerus
quivis datus in dato quovis continetur. Vel C’li libet non ad (0los nu-
meros, sed ad alias etiam Dirisiones rocem exrendere) Dividere,
Cs datam quamliber quantitalem in data ratione diminuere; vel porius
Duarum ad invicem quantitatum homogenearum rationem invenire. PTam
uc Subductione quanticatum homogenearum Differentiams ica
Diritione carundem Rationem invellixamus.
Sed de Numerorum Divisione pexelertim agendum est, quo
vocis illa signiticario primario retertur, ad alias autem non ni-
s analosice applicatur.
quide
In numerorum vero divitione, duoshabemus numeros da- Dividendus.
eod, nempe Dividendum qui in parces aliquoc aequales dirimen. Divisor-
dus est; _ Divisorem sive Diridencem, qui numerum parcium Duorienso
denorat in quas supponitur ille dirimendus: quibus datis, cer-
eius quaeritur, quem Orium dicune, sive Guorientem, octendic enim
quocies dirilor in dividendo concinetur, sive (quod eodem re-
cidic) quories ex illo anterri poreAt.
Sic hnumeruS L2 in 3 parces sic dirimendus, nUMETUS OHIHS
sive Duoriens (puca 4) ostendie unius crieneis ralorem: vel eti.
am oltendic quories Divisor 3, in Dividendo r23 continetur. Ira
hnumerus 20 diridendus sic per (divilorem) 4, tive partiendus
AE in 4 Partes, vel (i 4 diridat 20, vel deniqi s quaeratur quo-
ries in 20 contineatur 4, aut quocies inde auferri possic: Nume
rus orcus sire quociens, puca 5, olcendic quanca sic istius nume-
ripars quarta seu quadranso hoc cA, E Fupponatur numerus 20
in 4 aequales parces diridi, quanca sic carum qualibet, nempe
Si vel quocies in 20 concineantur 4, auc quocies inde auferri
Pollic, nempe quinquies.
Diritionis autem operationem C live perfectam, sive perRci
endam, Colemus (ic indicare =3; quod nOcaE NuMerUm 12 Pex
3 dirilum vel dividendii; vel eciâ 3) 12 (4; quod notac numerum
12 per 3 dirilum, ejusq; quoriencem esse 4. Ec similiter in aliis.
Ouod rero cancundem sic inguirere Ouocies in 12 conrine-
antuT 3E at9; Ouanens sic numeri 22 Pars cereia Ere criens s
(ee paricer in similibus;) hac Facili demonstra-
tione oscendatur. Scaruantur in coridem colum-
nis, sire Ceriebus crectio, toc punctorum criades
sive cerniones, quoc opus cA ad complendum
MImerUM 12, (PuTa 4;) quo Facto, numerus
colam.