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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)
# Folio 133, page id 826603459:0179
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s
C RP. 10.
De Mulciplicatione.
tione aue Subductione, ciphra seu 0, nihil mneac. NaMI yF
2+0 = 2, _ 2 = 0 = 23 (C2X 1 = 2, E 2 = 2. F. A9; DC-
ejus musciplicationis auc diritionis nesacio, quam mulciptica
eio auc diritio.
Ouiaucem, Per, Z, 3, 4, dec. mulciplicare supponitur, non
eam rerera mulciplicare dicendus est quam dividere (ue deju.
cers melius parebic, ubi Dirihonisnacuram expoluerimus,  nam
licue qui mulciplicar per 2, 3, 4, _c. daca quancicacis quaerir
duplum, criplum, quadruplum, Sec. sive exporicam quancica-
tam bis, cer, quater, _C. POnic: SiC qui per, 2, 3, a, _C. mul-
siplicat, non nisi darae lemissem, crientem, quadrancem,
Rc. quaeric; neqs iplam quanricarem, nedum ipsius mul.
ciplum, Ced iphus salcem semissem, erientem, quadeancem,
_c. hoc est rerera diridere per 2, 3, 4, _c. Adeoq; ut qui quan-
rirarem nepaciram supponitur Addere, (puca qui numero a
adjunsic = 2,) reapse Tollic; (minuic enim, non auger; est
enim 4 = 2, minus quam 4: 8 cancundem ek acq: tollere 2:)
ica qui per Z C auc aliam quam libet aliquocam partem) Cuppo-
nicur Mulciplicare, reapse Diridie; cancundem enim cA a193
per2 diridere. Clc enim Additioni Subductio, sic Mulciplica
cioni Dirihio est coneraria.
Tandem; qui per 23 2, _c. mulciplicare supponitur, par-
eim mulciplicac parrim dividie; nempe mulciplicat Per 233, _C.
(numeracores,) et per 5, 4, RC. (denominatores) dividic: Si-
cuc qui addere surponitur 4= 2 parcim addic, parcim au-
Ferc; nempe addic q8 aufere 2. Uc e qui mulciplicare sup.
ponitur per V 3, duo Facie, nempe mulciplicae per 3, ec radicem
quadracicam educir. Verum hiaxc omnis rectius percipienur
ubi de numeris Fractie, _ Surdis deinceps dictum Fueric: ac in-
cerim haec expedic subinnuisse, uc incellisatur quid Per Nultipli-
carionem Arictislimo Pensu sumpram, _ quid Pensu loxiori incel.
lisi debeac. Ilc autem Mulciplicacionis nomen, (ic _ Detinitio
noctra ucrigi ut opus cA accommodari pocest
fit propcerea Mulciplicatiore, laxione sensu lumpra, non
Temper augetur numerus, ouc mulciplum producitur, squan. N’on somper
quam illud ri rocio perhiberi videaeur, inpotio Derre F∞. auset numea
mine a tamoliori henificato.) Cum enim, in mulcixlicatic. rum
ne, supponitur numerus Mulciplicandus torice peni. quories
innuie Mulciplicacor; sive (quod camundem valcF) nume-
rUS