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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 132, page id 1066518432:0160
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232 DE VTRTDUS ET MOTIDUS CORPORUM. LIB. II.
conticietur prestionem liquoris in quodlibet punctum plani 3d3e 
quiralere ponderi columnae ips EZp aequalis in alticudine; hinc
prestiones seu gravitationes liquoris in plano FC+ ex BC aequirale.
bunt columnis, quarum altitudines sunt aequales lineis ES ec PP,
ergo erit omnino pr. FG: pr. BC = PS: P. I.
TI. Sic ES alteri P P incommensurabilis, ex, CI Reri POteKt, ra-
tio pr. FC ad pr. BC major quam FS ad F Y, puta aequalis ratio-
ni LS: F. Z cujus consequens L. X minor quam P. I defectu XV, ex
quo defectu auterri poterit quaedam TV minor quam XY, ita ue
FV commensurabilis hat ipsi RS. Ouo posito, per punctum V pla-
num bV transire intelligatur, eritque pr. bc minor quam pr. BC,
Cum PV minor SIE quam P. P, ec PF. FC: PF. DCF PF. FO: DE. BC.
Jam quia (constr.) L. V commenturabilis est ip(I F. S, erit Der Par-
tem primam hujus, Pr. FC: pr. DC = F. S: F. V, et (sccundum hy.
DothesIm) eA PF. FC: pF. BC = PS: H. ZL, CrBO FS: RV~ FS: F. L,
acque adeo F. L major quam F. V, contra hypothelin. Adeoque ne-
quit Pr. FC: PF. BC major esse quam P. S: V. I.
Sit isitur ratiO PF. FO: pr. BC minor quam P S: F. P, Scilicet
equalis cuidam FS: FY cujus consequens P. Y major quam FI,
exCCTN YY, auteratur icerum ex hac YY portio YY talis ut rel-
dua FZ alEeri ES commenturabilis eradtAE, per Z FFANSITC ANGaTUE
planum ZuB fundo BC parallelum in quo uB instar Fundi nunc con-
Siderabimus. Unde quia FZ (ConAtr.) major cst quam AT, erit
Dr. BA F Pr. BC, adeOque PT. FC: PF. Bn = DP. FG: Pr. BC; e quia
constr.) EZ commenturabilis est ipsi RS, crit (num. L hujus) pr.
FCT: PF. BA = F S: F Z, Cx AypOtheSI verO CA PF. FG: pT. BC = FS:
RY, erGOES: FZ =RS: F Y, exitque adeo L Z major quam P Y,
ItCrUM COntra hYpOtheAM, naM P. Z RCCCNaTIOMINOF Crat quam P. V,
quandoquidem ex hac F Y ablata Z Y relinguebatuF R Z; nequit er-
SOratIO PF. FO: pr. BC minOr eNC quam raTIO ES: P. I e quia nec
major, sequituT PP. FCI: pr. BC = BS: P. P. Ouod crat demonstran-
dum.
CO e OL L A R 1 u n 1.
254. FLINC HIO GuII, quod quaelibet portio FMI plani cu-
juslibet horizontalis FE ab incumbente liguore DFGF tantam pres.
sionem Cubire debeat, quantam sustineret a columna ejusdem liquo-
ris portioni illi FM ad alticudinem FS perpendiculariter imminen-
tis. Plam, quod in propolitione unirertaliter octensum est, nulla ha-
bie