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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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De Mulriplicatione.
C
etto X. Nempeve rot 2 Addicionem innuie, sive numerum
denarium binario auerum; _ 1O= 2 Ablationem, sive Subdu-
ecionem, nempenumerum denarium binario mulctatum, sive
diminutum; AC FOX2 signiticee numerum denarium binario
malciplicacii sire bis poticu. Si icaq; quaeratur numerus qui nu
meru denariu bis in se contineat, hoc ek, qui sic denarii duplus,
leu qui dupla proporrione denarium luperec: numerus Denarius
dicecur Multiplisandus; numerus Binarius (qui dacam proportio-
nem exprimic) dicetur Mulciplicator; numerus deniq; quae litus
Puta ricenaxins) qui numerum denarium bis continct, Pa-
Ctas dicetur, Peu Productus. Hoc eR, B AF 1OX 2 = - 20, Crit 1O
Mulciplicandus, 2 Mulciplicacor, et 20 P’actus, Peu P roductus.
Eis appellacionibue incellectis, non eric difficile aliorum
quasafferunt Mulciplicacionis detinitiones intelligere; quales
Cunc hae quae sequuntur.
Mulciplicare, eA numerum invenire, qui toties contineat Multipli-
eandum, quoties Multiplicans comtinet 2nitarem.
Irem, Hulciplicare, eA numerum invenire qui eadem sit ratione ad
Mulriplicandum qua Multiplicans ad Dnitatem.
Has aucem definitiones, alia Cg; ejulmodi, licee non ut FaI(aB
rejiciam, cum rererarem prour cM exprimant; vix camen ulqs
adeo accommodas autumo. Cum enim Definicio sic definici
explicario, debet ca per nociora procedere. Onid aurem AE
numerus Nulsiplicandus, Mulriplicans, de Mulsiplicatione factus, non
minus est ignocum quam quid sc ipsum Mulriplicare. Oua eti.
am de caula non admitcendam censui (in detinicione nostra
Polteriori) iplam rationis sire proporrionis vocem, nih de iplam
simul explicuissem; urpore quam nondum in praecedencibus ex
protesso expolueram.
Faceor incerim iplum Euclidem mulciplicationem sc expli-
cuisse, 15 d7. AecduoS a eDuOD BONNaSICr NErraI, rar dou cioir
Er aVTI HOVASES, TDOUVTNIS SUVTEdI S XOXNaTNASIAE uO, y
reonrai n5. Numerus numerum mulciplicare dicitur, quando quor sunt in
ipso unitares, tories componitur (numerus) qui multiplicatur, atque
ica) factus aliquis emergit. Verum hic (lrice accendatur Pu-
clidis (copus) non cam Mulriplicarionem detinie, aut docet quid
sc Mulciplicare; led exponit quid sibi velic apud illum phra-
lis illa cum dicitur numerus numerum multiplieare Ccujus quidem
roces tinsulae supponuntur prius Fuisse cognica;) acq; hoc
qridem