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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 Mulliplicatione es Divisione
C A. P, 20.
Pet 1,2, 3, _C. vel alium quemvis muliciplicatorem afirmacio
rum, is quancicarem mulciplicandam cories ponic lerraco 19-
no; qui vero mulciplicat per in 1, _ 2, = 3, _c. auc alium
quemris mulciplicatorem negativum, ille quantitarem mulci-
plicandam cories vel collic vel (quod cantundé est) sub contra-
riosisno Donit. Ouod erat ostendendum. Adeoq; A + 2 = 2A,
AX  2 = no 2c8, RX2 =  2R,  RX  2 = 42 A
(nempe  Abis collitur:) SiC A = B == BA, AX - B - 
BA, n A +B = _ BA, i Ax  B = +BA (vel +AB
quod cancundem est.) Ersic in reliquis.
In Dirisione, quaericur quocies dirilor, sen quanticas divi
dens, in quancitare Diridenda concinetur; vel Cquod rantun-
dem eAt) in quam quancicacem ducendus et diritor ut Aat 2-
qualis quantitati Diridende; uc patet ex iisqua de Divitione
eradica lunt Cap. ZI. Ec propcerea, abi quancicatis Diridendae
Porum est F (astirmacirum,) signum onocientis idem eric acge
diriloris; (in quancicaris Diridendae signum sE  (negatirum,)
tienum Ouocienris eric signo diriloris concrarium: cum enim
diriloris in quorienrem ducti productum Fucurum est aequale
quancitari dividendae; non pocect illud affirmacum esse, nill
Factores signa habeant similia; nec negacirum, nis dissimilia: uE
ex modo probatis constar. Adeoq; h diridatur i per F, vel
per  quoriens eriet: (In + Dex L, auC  Per +, quoti-
enserit n. Ouod erat ostendendum. Adcog; 2) V ( 2 3
2, V(= 2 32)  (i 23  2)  VC+.
Item
A) VCX,  A) V(~X A) iV Cm X3 i A) V (+ X
SiC A) VA (V. =B) BOD(= CD. C) BCD C_BD.
NA) NVC X. A) A9(A. un A) in ACB CAGB.
A4)  VAC in X. 4) abc (bc. ab) a = bc (ac. 2 2) 2 (= 28
328) 16∞ C22. Fc paricer in aliis.
ACg hactenus de quancicacum simplicium Nulciplicacione
e Diritione dictum ett; sequitur ur de Conjunctis agam; cas
incellieo quae ex variis membris constane per sen a = 8t  col.
Bata.
Duando quantirates inricem mulriplicandae ex rariis mem-
bri
Mulciplicario
quantitarum
conjunctarum