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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 221, page id 1066518432:0249
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DE VEREBOS ET MIOTIBOS GORPORUM. L. 1B. IL. 221
ad FTE seu SR ad OFI, id est, 2SR vel 2RF adt 2OTI; lx enim
SR _E PR aequales TUINE, Cum R F. (secundum hypothesin) para-
meter sic parabolae, unde cum 2SR exponat celeritatem aquae crum-
pentis sub altitudine RE, altera 2CFI exponet celeritatem aquae
crumpentis sub altitudine FIF, hinc filamentum FI aequabili mo-
tu eAluens, applicatum ad Cuam celeritatem 2GTTI, eXPOnIETemDUS
ettuxus hujus hlamenti, seu tempus eAuxus massae liquidae FIHIL,
id cA, AIB = FT: 2GTI, ex cum supra inventum sIt IIM. FIB: 2F
=FT: 26IG, crit tLIB = LIM. EIB: 2F; atque adcotCFI =CFIMO:
2F, ut supra. Ouod crat demonstrandum.
C OR OL F A R E U M.
398. Erso praesens propositio ex antecedenti facile elicitur para-
metro parabolae F. CS tantum cum valorem assionando, quem Peo-
Dositio indicat, e semper continget, ut arCK C YZO, ec. applica-
ex ad duplum Foraminis praebiturae sint tempora minutis secundis
expressa, quibus homolosx liquoris quartitates cMuere debent.
PROPOSTTIOZZXVI PHEORENA.
399. Si liguor ex vase amplo e constanter pleno ADC esstuat per FiB. BA
lumen FOTIF plano BDTC horizonti utcunque obliquo insculptum,
descripta circa axem BD parabola BLO, cujus parameter P sit ad li-
neam a, quam srave quoddam dato tempore e matu a quiete incipiente,
sed naturaliter accelerato, perlabi potest; ut sinus anculi ABD inclina-
tionis planorum ABC, e BDI ad sinum totum, hoc est, sicut RC ad
BC; quantitas  liguoris tempore quolibet dato Y per lumen illud
EOFIF esstuentis exponetur frusto ETIEMLOTTFE prismatis parabo-
lici BDOPMNV ducto in duplum exponentis rationis temporum, boc
est in 2T: C.
Duia manente rase liquoris pleno, per quodlibet. punctum physi-
cum C sectionis seu luminis FOTTF silamentum liguoris 2RC7 et-
Auere debet aequabili motu, tempore co, quo grare quoddam alcitu-
dinem RC accelerato motu descendens conticere potest, et quia
tempora descensus grarium funt in subduplicata proxortione (pa-
tiorum, juxta ca. qux articulo 15T. Ostensa TUNE, erit tempus delcen-
Cus graris in alcicudine A, quod tempus nominatum cst t, ad tem-
Dus per altitudinem RC, siCUE Y A ad Y RC; vel sicut Aad Y (A. R C+)
LC: