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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 350, page id 826603459:0396
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De Reeula aurea,
CAP. 3y
esttive dieat, ut linea bipedalis A, ad pectalem B; sive, ut
numerus 2 2d 23 firc ut 4ad 2; _c. Propter Cnocientem,
adeoque e Rationem, (gua hic tolom spectatur, ) urrcbi.
que aequalem. Fc quamvis, pronumeris his, nonnunquam de
Cymbolaicerum substituae vel eciam quae linearum erant re-
tineaL; ea camenguali pro numeris habet, cague numero-
rum instar tractat verlacque. Nec cam lineas _ pondera, guam
numeros, in iildem, cum lincis e ponderibus, rationibus,
constirutos, se verlare cogicat. leaque in exlemplo expoltos
EA, B, Cupponaneur signifcare 4, 2: (quia nemDCD = = 
manencibus incerim E placet a, B, uc ponderum symbolis:
tancundem erie dicere A. B: : a. B; acque 4 . 2:: a C
Adeoque secundi ee certii rectangulum BXa, eA 2Xa, CIVC
BX a
ponderis a duplum: P.L A, CB
2Xa
4 Eive ictius dupi
quadrans. AC vero, pondus duplare, iterumque quadein
tariam parciri, nihil aCurdi Conat.
Vel etiam simplicius rem ica explicemus. Ouoniam ponun-
TUTEUM A, B, cumae, B, quancirates ucrobique homogencx
Curuchae ad illX hecerOgeNCA;) dirila quancitace B Der A,
quociens eric numerus (sive quod numeri instar cM) rationent
BX a 3
denominans; puca N = A Adeoqua A hOC cA R X a)
cancundem est aEquE NXR. PLPTOPEETCA R La =B vel hOC
NY x a =B: Cgnilicat quancirarem a (cujulcunque fuerit ge-
neris ductum in N numerum quae denominar racionem B ad
A. (quancicarem aurem quamlibet, pernumerum mulcipli
cari, nihil est ablurdi,) aequabicur quancitaci B: vel quod
cancundem est, quancitaris a toruplum, quocuplum B est rV
A, (vel eciam cancuplum quamcuplum _c.) aquacur quanet
FacIB.
Solenc hie nonnalli Arichmetices practiex Magistri, opera-
nonis hujus examen adjicore; ut nempe melius sonttee, ( quod
ortacur dubium, num probe peracta sic operacio. Pocest autem
id raciis modis heri.
Nommulli Ec intticuune. Ductis cum cermino primo in
guarcan
B