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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 135, page id 1066518432:0163
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DE VTRIBUS ET NIOTFBAS CORPORUM. LIB. II. F35
ternam tubi acuminati superficiem conrexam, tanta ri a liquore
verticaliter in altum agi, quantum est pondus aquae illius, qua cy-
lindrus IC aquam in tubo ABC excedit. Onde, quia latera ralis e
fundus cohaerent, ea sola ris in lancem librxe MO redundare potcst,
qua graritatio aquae ABC in balin BC excedit rim attollere COnAn-
tem lateTA BR A BE CSA valIS ABC ab aquae prectionibus prore-
nientem, aucta pondere rasis; vis vero illa, seu excessus cylindri
TC supra maltam aquae, quae modo nominatam rim actollentem ex
Donit, est pondus Tolius aquae in tubo acuminato ABC, ergo ris,
qua lanx deprimi atque urgeri debet, est solum pondus agux ABC
auctum pondere rasis, prorsus ut experientia id manifestat. Idcirco
tantum abest, ut objectio ab experientia petita. rim propositionis
noltrae quicquam intrinsat, ut cam potius csregie contirmet.
PROEOSITIOV. PHEOREMA.
258. Gravitationes quorumcunque liquorum in subjecta plana hori-
zontalia, sunt areis homoloris in scala densitatum vel etiam ordinatis
scalae pressionis liguorum proportionales.
Sit ras quodcunque irregulare ABC liquoris heterogenei plenum
usque ad DE, e circa axem F I superficiei liguoris DF Fundoque
BC perpendicularem, atque adeo Auidi altitudinem super fundo de-
SIGNANEEI, EXFrUCEX SInE CUErA PTKN X PIZ, quarum illa sit Ccala
densitatum liquoris, utpote cujus ordinatae RHI, 3p3h, SK, TN
densitates liguoris exponunt in illis planis, in quibus ordinatae reve.
riuntur, haec vero F. IX scala prestionis liquoris, cujus scilicet or-
dinatae 3p39, ST, exc. graritationes liquoris denotant in plana 3d3C,
FG, eEC. AC denigue arCa FFTKNT applicata ad ejus alticudinem
ET praebet mediam densitatem YV Auidi heterosenei. Ordinatae
vero Scalae graritationum FIX (5. 24 6.) areis homologis scalae den-
SItatuM TTKN proportionales sunt, ultimaque TX toti axi AY X-
qualis esse ponitur. Ouibus intellectis probandum est, fore gravi-
cationem liguoris DFCF. in planum PCr ad graritationem liquoris
DBCF in Fundum BC, UE AECA ESHETL ad aECaM EPNTKFL, vel
SicuE ST ad IX, eC.
Valis liquor dirisus intelligatur, ut in praecedenti, in sua srata
horixontalia aeque alta quidem omnia, sed infiniresimx altitudinis,
per plana de, 2d20, 3d30, ec. Fundo BC aequidistantia. Ouia igi-
F18. 600
cur cujusque strati altitudo insensibilis scu indetinire parra eA
den-