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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 140, page id 1066518432:0168
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14O DE V FRFBUS ET MIOTTBUS CORPORUM. LIB. II.
Potentia, quam exponit pondus filamenti liquidi altitudinis af vel A0
e densitatis Au aftici cenleri debent, adeoque impressio, quam à Auido
vali indito patietur dicta superticies curra ec Cylindrica (5. 63.) a-
quiralet pressioni, quam subiret rectangulum BCcb, E etiam singu.
lis ejus punctis potentia af applicata esset, atque graritatio in hoc
rectangulum cst uc af. BC. Bb, vel af. BC. Aa, ductum in AW,
cum pondus cujusque filamenti af sic ut hoc filamentum, tanquam
volumen, ductum in densitarem seu Speciticam graritatem AO. AF.
qui solidum af. BC. Bb ductum in A0 denOtat (5. 33.) Pondus mal
Ta Auidae Colido ilti quoad rolumen aequali, cujus uniformis densi-
tas aequetur medix densitati Au liquoris nostri heterosenei. Ergo
superticies cara CaB ex rectansulum Cb aequali ri in oppositas par-
LeS UEGCntuE, e tanta quantum est pondus prismatis liguoris ho-
mogenei, cujus prismatis basis sic iplum rec- lum BC Tuperticiem cur.
vam CaB subcendens, altitudo vero af ordinata scalae graritatio.
nem FZ ~; e liquoris homogenei densitas sic media densitas Aali-
quoris heterosenei. Ouod erat demonstrandum.
COR OL L A R + U M I.
265. Vires, quibus altera superticies cara CcgybB ec rectangulum
iplam subtendens CBb in OppOlItaS PaTLCS UEGCNEUE, CtiaM aquales
CrunE, Si toti prismati F. ACP idem liquor heterogeneus inditus
Tuerit, utpote quae vires exponuntur una eademque re, scilicet pon-
dere prismatis liquidi balin rectangulam CBb et altitudinem af 1a-
bentis, cujus densitas unitormis eadem est ac prius, media densi.
tas A0 Auidi heterosenei.
LOROELRRIUM CI.
266. Lropterea graritalio Aguoris hecerogenei in totam supert.
ciem cara CHVLABL vel in rec lum NCBL, item in CuperAi-
ciem NOVOPTEB ex idem rectangulum NCBL aequiralebit pon.
deri prismatis recti ec liquidi, cujus balis sit area seu trilineum P. L a AF
altitudo CB, densitasque uniformis Av.
Nane Il alcicudo AF. Vasto in mumeras particulas indesinite par.
vas qualis Aa dirica, d per lingula dirisionum puncta a plana ho.
riz onti parallela, quale acqb. ducta intellisantur, per art. 264. Guaeli-
Dec superticiecula carac. Ab vel c_ et rec. lum C Bb pressionem subi-
bunc