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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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10
De Multiplicatioris es
euecur numerus pridem diridendus 154518. IIc in calcuse
mox ance appolico videre est.
Si aurem, post peractam Diritionem, alignod lpertuerit
Residuum; curandum est uc in probathone per mulciplicacio.
nem intticuenda, hoc eriam Re.
Eduum addatur: Sccus enim
non prodibie Diridendus inceger,
Cedmancus. Nam, verbi gracia,
hnumerus 357 per 24 divilus ex.
hibeat quocienrem 16, e luper-
tine 33 hoc residuum indicat,
quod in diridendo illo continca.
cur divilor vicibus 16, Cvel 9uo.
tiens ricibus 24,) acq: inluper numerus 30. Adcog;, Peaeter
Dirilorem (vel Ouocientem) cociespolicum (quod mulcipli-
cando praestatur) adjungendus eric numerus ille 3.
Racio corius processus (Rilla ex jam dictis nondum Cacis
incelligatur) sic reddi pocerit. Cum numerus mulciplieandus
cocies in Producto contineatur, quories Cinicas in Asulciplica-
core, (nam cories eA ille ponendus quories jubet mulciplica-
COr;) SDirisone quaeratur, quories in Produero concineacur
Mulciplicanduss prodire debet (h opcratio recte peracra fue-
ric) prodiritionis Quocience, numerus idem qui prius fuerat
mulciplicator. FE conera, cum Diritionis ouoriens oltendac,
quocies in Diridendo conrincacur DiviCor, C vel praecile, vel
quanco cum rehiduo;) si Dirilorillecocies (mulciplicando)
ponatur, (_ siquod erar, adjiciatur reliduum, ) emergere de
Dec numerus Diridendus; quippe ille in quo Dirilor cories ur
dictum estcontinetur.
Praecerhas aurem Mulciplicarionis _e Divitionis probatio.
nes, per opcrationem contrariam instiruendas; porcA utraqs
per eandem operationem probari. Cum enim (ue ex Cuperius
cradicis pacec) duorum numerorum inricem mulciplicatorum,
perinde est ucer dicatur Mulciplicacor; (puca, perinde cA, in
exlemplis nuper oxpolicis, sive 283 per 546, live numerushic
per illum, malciplicetur:) Vbi peracta est operario, si de axeBCid
dubitetur; qui prius orar numerus mulsiplicandus, jam fiat muliiplicaior,
e vice versas Ec, Aidem urrobique sic numerus Produetus, argu-
meneo eric processum fuisse legicimum; sin minus, erroncum.