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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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CAD. 19.
De Divisionea
dendo aequalis cories enim diridendus diritorem continebit
QuOcieS COnLIneFMnICACEM.
Acq: huc spectat quod apud Rrichmericos passim occurrie.
Diridendum cocies concinere Dirilorem, guoties O, tuS Ceu
Ouociens concinet Unicarem; vel, eandem esse rationem Diri-
dendi ad Dirilorem, quae ese Onocientis ad Clnicacem: Icem,
Diridendum cocies continere Ouocientem, quories Dirilor
continet lnitacem; vel, candem esse racionem Diridendi ad
Onotiencem, qua est Diriloris ad Elnicacem. Nam ee hoc sei
endum cA (quod _ ex praedictis Catis paCCE, ut in Nulcipli-
catione perinde est urrumrise P’actoribus Mulciplicandum sive
Mulciplicatorem dieamus, adeo uc s hic dicatur Malciplican-
dusille erie Mulciplicator, e concra; Sic in Diritione de Diri-
Tore & Ouorienre contingit, qui alcernatim sedes mucabune,
ec si duorum componentium hic sie dirilor ericille Ouociens
E concra, (i ille Diricor hic quocienserit. Puta, cum in mulci-
plicatione 3 e 4 inricem ducri constitmane 12; si 3 dicacur
mulciplicandus, eric 4 mulciplicacor, ee concra, ( 4 sic mulci
plicandus, mulcipli-
CaCOF CrIC 3. Si au= 3 x 4 =- 12
cemidem numerus I2,
per 3 diridatur, quo.
423 = 22
eiens erie 43 Cin dirilor sE 4, quociens erit 3. Ec quidem in
omni divilione, li qui prius fuerat ouociens hac Dirifor, qui
Fuerac Dirisor her Cuociens.
Deniq;, ut de Mulciplicatione monuimus, nempe eam vix Divisio est
aliud esse quam mulciplicem Addicionem, lire addicionis com-
pendium; ita ex de Dirilione monendum, cam quippe rix aliuc
mulcipleae
esse (Calcem cum Dirilor es numerus incesex) quam mulcipli. subductioo
cem lubductionem, sire subductionis compendium. Oui quee-
rit enim, quories numeruS +2 Contincac 3; idem Facit ac qui
quarie, quories ex 12 Tubduci polsinc 3: Oui isirur continoe
subductione inveneric, quories postine 3 ex 12 auterri, ita uxni-
hil relter; inrenic eriam eadem opera quories 3 in 12 praecile
concineaneur; quodiptum eR 12 per 3 dividere, uc ex praedi-
ctio liguet. Sic H ex r2 punctis appos-
EIS, Z quocies heri poltie Subducancurs
parebic post quatuor subductiones ni
hil Cuperesse. Ouocaurem subdueta lunc, cor prius aderants
2de09