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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 137, page id 1066518432:0165
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DE VERTBOS ET MIOTLBOS GORBORUM. LIB. II. 137
ATCX P PNKII aequetuE; reperietur reccansulum SI. PV ubique
equale homOlOGX AFEX RSKH, e Factum ex hac arca in FH, CX-
ponens graritationem seu prectionem in hanc particulam, crit equa-
le facto SI. TV. FR, quod designat prisma, cujus basis HR eAt pla-
num prectionem sustinens; alcitudo rero SI ordinata scalxe gravita-
tionum, ductum in mediam densitatem TV liquoris heterogenei:
acqui (5. 33.) prisma SI. PR ductum in TV exponit vondus liquo-
ris homogenei, cujus densitas est TV ec rolumen ipsum prisma SI.
FR; erso parcicula FR plani FC ab incumbente liguore hCterO.
geneo prestionem subit aequalem ponderi prismatis Auidi, cujus ba-
sis sit ipla parcicula pressionem sustinens, altitudo ordinata homo
l0sa SI scala prestionum, et densitas unitormis TV media densitas
liguoris heterosenei.
C OR OL L A R L u M TI.
260. Inde, quia aequales ee minimae particu lae laceris PL _ COn-
tigua FR in plano horizontali FC (5. 252.) aequales ab imminen-
te liquore hererogeneo prestiones sustinent, quaelibet, juxta directio-
nem ipsi perpendicularem, etiam LL. prectionem Tubibit aequalem
ponderi prismatis liguidi, cujus balis sit particula haec ip(a FI. Aui-
di imprectionem excipiens; altitudo rero SI ordinata homologa (ca-
lae prestionum et denique JV media densitas liquoris heterosenei.
COR OLL A R L u H TTI.
262. Si liguor est homogeneus, cujus densitaS SIE FTF, Scala den-
Statum Aet recta axi F I parallela per punctum FI ducta, critque
adeo hOC CaTI YV = F FI, e curra F. IX mutabitur in lineam rectam
angulum semirectum cum aXC RP continentem; adeo ut iterum
hinc ligueat, cujusque liqueris homogenei graritationes altitudi-
nibus liquoris super planis, jux prectiones subeunt, proportionales
ese. Nam in triangulo rectilinco FT X ordinatae SI, YX, quae
graritationes liquoris in plana FCr, BC significant, abscissis S,
F.T proportionales crunt existente linea FI L recta, qualem nunc
esse supponemus, ne pro hoc calu parciculari norum schema deli-
neare necessum habeamus.