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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
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T3ODE V LRIBOS ET MIOTIBOS CORPORDM. L IB. II.
PROPOSTTIO TTT. THEOREMA
252. Partes aequales (TTI, TI) cujuslibet plani horizontalis (F(7
Fis. 58. intra liquorem quemcunque (DBC F.) in statu manenti consistentem, va-
sique, ut libet irreculari, (ABC) inditum, aequales pressiones subeunt ab
imminente liquore (DFCF.). Ft partes minimae laterum vasis (L. F,
MO) ad idem planum Borizontale (FC) terminatae easdem pariter
pressiones ab incumbente liquore patientur juxta directiones (FP, O
iisdem partibus (FI, GM) perpendiculares; quas patiuntur aequales
parriculae (FR, CK) plani horizontalis juxta directiones ipsis nor-
males.
T. Ouoniam (secundum hypothesm) liquor rasis est in Ratu ma-
nenti, LuperFcies ejus DF. (5. 25T.) horizontalis ac proinde plano
FC Parallela crit, e remoto cogitatione liguore DFC plano I
incumbente, residui in rase EBC Cs Cuxerticies FC etiamnune in Ra-
tu manenti consistet, quia horizontalis est. Adeoque SI, restitLo
quem cogitatione remorimus liquore DFOTI, pars aliqua TK plani
FC minorem pressionem subiret quam contigua ex xequalis particu
la FTI, liguor in loco TK deberet attolli, aut deprimi, vel ad la
tera dextrorlum aut sinistrorsum deflecti sire alicubi condenlari,
quandoquidem ris minor majori lemper cedere debet, et aquxe vel
liquoris particula per naturam Auidi cedere possunt, atqui talia
linc motu partium, quo unae ab aliis sicu suo pellunEur, Contingere
nequeunt, ergo liquor non maneret in catu manenti, contra hypo.
thesin. Partes isitur FLL, TK omnesque reliquae sequales plani L6,
xquales pressiones lustinent. Ouod est primum.
TI. Sit planum L.M alteri FC sequidistans, e (5. 250.) omnes
ejus aequales particulae NVO, OM aequales itidem presturas ab im
minence liquore DLME subibunt. Idcirco liquor inter duo plana
aequidistantia LMI ex FC, relut in praelo, Fortiter constrinsitur e
quidem riribus aequalibus in partes oppolitas, scilicet à liquore in
CUMBENtE DLMIE perpendiculariter deortum atque a reactione pla-
ni inferioris FE perpendiculariter in altum; nam quanta vi planum
istud premitur, tanta ri in rem prementem reagic. Onde cum pla
na NO ex IR aequalibus riribus in oppClITaS Partes urseantUE, ne
cesse cA ut in quolibet plano NI vel OK tantam pressuram Cubeat
quantam in NO rel TK, alioqui si minorem pateretur, ibi clabere-
cur per planum LI I liquor ONII contra hypothesin. Et quia ob
COR.