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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 380, page id 826603459:0426
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380
D+
De Fractionum Musciplicationo es Divistone. C AP. 43.
=8 = +Z. Racio paret. Nam qui diridit Per 23
Decie qua si quories in numero dividedo contineatur numerus 2.
quod ubi ex quocienre resciveric, mulciplicando POrrOPer 3.
coenolcet quocies cocineatur ?. nempe numeri 2 criens: quippe
numerus eriencum binarii, criplo maior Hc necesse eAt quam b1-
nariorum numerus, cum quilibet binarius contineat lui cres
crientes. Sic in Symbolis, D) B CBD3 _ BDX C=
AC
A
C
BD 3 ere0 C) B C BD
Aegue hincBarim constal, (quod axprime nocandum eAt,)
vonis es Di. Idemomnino fieri sive mulriplicemus per D, sive dividamus per C
versae aegni. Quipue eadem utrobique prodibie quantitas. Icem sive mulci.
visionis in-
Pollenria. Plicemus per Z, sive diridamus per 2 vel E; quippe ucrobique
quaeritur exposicx quanticaris Cemissis. lcem, tre per Z mul.
ciplicemus, (irc per 3 diridamus. PE (c ubique; Sc licee quan-
cicas ( sc dividenda auc mulciplicanda) ret incexrum quid, vel
Fractum.
ADC
R ∞RC
C C LCL
2)5 (3 = 16 = = x =.
A
D B
2C
D
AC = ADXB.
2)5C,3 = 5X =
2) 4C3 = 4XZ. vel 2) =(2 = =xZ
2.d8 (23 = E = b = 9X Z. 2
(22 = b = =X 3
Brevicer; Mulciplicationis ae Diritionis (in Fractionis) do-
Arina, hujulmodi est (ut ox praedictis lIquer:)
Numelators
Mulriplica