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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 216, page id 1066518432:0244
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216 DF VLRABUS EY MOTIBUS CORPORUM. L. 1B. IL.
COR OL L A R X U H.
387. Ouoniam quantitates liquorum simul CAventeS BMI e RN
3. 384.) Lune in compolita ratione ex rationibus Foraminum B et
R e velocitatum, hxe quantitates crunt in compolita ratiOne CXTa-
tione Foraminum, et supduclicata ratione altitudinis liquorum in ra-
SiS, abstrahendo a densitatibus liquorum excuntium; nam quanti-
EateS abIOIUEA ALaMCNEOrM BMI _E KN seu mallae corundem, PunE
in compolita ratione ex subduplicata altitudinum BO) e RD, ex
simpla densitatum R et S, et denique ex simpla itidem. Foraminum
R.
S C H OL T O H.
388. Celebeimus Valisnon in Comment. Acad. R cg. Scient.
T703, 14. Nor. relocitates liquorum erumpentium in circumstan-
eiis hujus propositionis demonstrat esse, ut radices ex Factis altitudi-
um in specificas pravitates liquorum, dirisis per densitates homo-
logas, quod cum praelenti proportione probe conspirat, cum (5. 33.)
densitates graritatibus specificis liguorum directe proportionales
SinE.
PROPOSTTTO XATET PROBLEMA.
389. Definire quantum liguoris efftuere debeat ex dato vase per da-
tum foramen tempore dato, si liquor vasis constanter in eadem altitudi-
ne data conservetur.
Sint data altitudo liquoris a, Foramen vasis f, tempus datum L,
m Spatium quod grare accelerato motu, alio dato tempore d, per-
labitur. Jam, quia tempora descensuum grarium (5. 25T.) Tunt in
subduplicata ratione spatiorum confectorum, erit Vm: Va = d: n,
ubi n denotat tempus, quo grare altitudinem a accelerato motu ca-
dendo ablolveret, adeoque n = dra: Ym. Jam quia liquor ca reloci
tate eAuit, quam grare calu ex altitudine a acquirere potest, et, hac
velocitate semel acquisita, duplum spatium describit aequabili motu
eo tempore n, quo accelerato motu simplex a percurrebatur; fla-
mentum liguoris hoc tempore n, aequabiliter cAuens celeritate X
quali, quam grare acquirit ex calu accelerato ex altitudine a crit
2af. Onde si tempore n eMuic tilamencum liquoris 2af, rempore +
eMuet