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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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DeDivisione.
columnarum simul ostendic, quocies in Y2 COnFInCANEUF3 (t0n
tiesnemve quor lune ipsae columna,) acq; etiam quocpuncta
Tune in qualibet Terie cranfrerla, hoc est, in quolibet corius nu-
merieriente; (toc enim Cunc erantrer(xe Ceries quor lune cujus-
libet crectae puncta, adeoqs guxliber series cranlverta eAttorius
numerieriens;) cor aucem lune cujussibet erantrerlae puncta,
quor ek serierum crectarum numerus, cum harum quaeliber
eran (verlarum cuilit et unum Cubministret punctum. uE Patet.
EA aucem Dirisio eodem fere modo Mulciplicationi oppos-
ea quo Addicioni Subductio. Ucenim quae Addicio componit
Subductio resolriti ica quod Mulciplicatione componicur, id
relolritur Dirisione. Sic, ubi ex addicis 3 _t 4 hunC7; (I Cx 7
alceruerum auteras, alterum prodibic. Ica, ubi ex mulciplicacis
3 In 4 EunET25 ( 12
Der alceruerum diri-
das alterum prodibit.
Ulrrobiq; quod com- 7 . 3 -
Ponendo ex luis com- 7- 4
Ponencibus conAlatur,
+3 143
id resolvendo in lua componentia resolvitur. Nempe, quae in
Subductione lune Ablacum _e Retiduum, ea in Addicione lunt
Incegri Membra: & quae in Diritione Cunt Dirilor _ Ouociens,
ca in Mulciplicacione lune F’actores.
Craece dici tolet Mcecouds divisto, e usciar dividere. Apud
Euclidem incerim passim usreor, uerscir, uers sueret, idem lune
acq; Divisor, dividere, divisus tive dividendus, de numerus nad Sr
uerseirac quoriens est. Sic 9d7 Numerus pariter par dehnitur a o
apris aecdus uSrEuEDO naI apnor aeduor. Dui a numero pari
per parem mensuratur, (ve quem numerus par per paremmetitur; nempe,
qui ica per Dirilorem parem diridi porett, ur et quotientem pa-
ren habeat.
Divisio stri. Nocandum aurem es, apud Puclidem, non numerum quem-
vis alium quem libee reraperper dividere vel meriri Dosse; SiCuC
nec a quoris numero quilibet auterripotes, (Dura major ex
minore:) Cum enim ille de reris cancum numeris se proprie
dictis (incegros incellige) verba facic, qui ex CInicacibuo
componuncur; adeoq. Elnitacem semper habec pro indiritbilis
quodq; c_, in numeris, minimum quod (IC: nON FATO OCCUF.
rit numerus qui in imveraras parres dividi non Poccs. Adc04;
numerus
CAF
ete sumpra.
5+4 22
1 12(4
= 4
CZ