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<s><emph type="italics"/>Cas.<emph.end type="italics"/>3. Eadem e&longs;t aquæ velocitas effluentis per foramen in la­<lb/> tere va&longs;is. </s>
<s>Nam &longs;i foramen parvum &longs;it, ut intervallum inter &longs;uper­<lb/> ficies <emph type="italics"/>AB<emph.end type="italics"/>& <emph type="italics"/>KL<emph.end type="italics"/>quoad &longs;en&longs;um evane&longs;cat, & vena aquæ hori­<lb/> zontaliter exilientis figuram Parabolicam efformet: ex latere recto <lb/> hujus Parabolæ colligetur, quod velocitas aquæ effluentis ea &longs;it <lb/> quam corpus ab aquæ in va&longs;e &longs;tagnantis altitudine <emph type="italics"/>HG<emph.end type="italics"/>vel <emph type="italics"/>IG<emph.end type="italics"/>ca­<lb/> dendo acquirere potui&longs;&longs;et. </s>
<s>Facto utique experimento inveni quod, <lb/> &longs;i altitudo aquæ &longs;tagnantis &longs;upra foramen e&longs;&longs;et viginti digitorum <lb/> & altitudo foraminis &longs;upra planum horizonti parallelum e&longs;&longs;et quo­<lb/> que viginti digitorum, vena aquæ pro&longs;ilientis incideret in planum <lb/> illud ad di&longs;tantiam digitorum 37 circiter à perpendiculo quod in <lb/> planum illud à foramine demittebatur captam. </s>
<s>Nam &longs;ine re&longs;i&longs;ten­<lb/> tia vena incidere debui&longs;&longs;et in planum illud ad di&longs;tantiam digitorum <lb/> 40, exi&longs;tente venæ Parabolicæ latere recto digitorum 80. <lb/> </s></p>
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<s><emph type="italics"/>Cas.<emph.end type="italics"/>4. Quinetiam aqua effluens, &longs;i &longs;ur&longs;um feratur, eadem egre­<lb/> ditur cum velocitate. </s>
<s>A&longs;cendit enim aquæ exilientis vena parva <lb/> motu perpendiculari ad aquæ in va&longs;e &longs;tagnantis altitudinem <emph type="italics"/>GH<emph.end type="italics"/><lb/> vel <emph type="italics"/>GI,<emph.end type="italics"/>ni&longs;i quatenus a&longs;cen&longs;us ejus ab aeris re&longs;i&longs;tentia aliquantu­<lb/> lum impediatur; ac proinde ea effluit cum velocitate quam ab al­<lb/> titudine illa cadendo acquirere potui&longs;&longs;et. <lb/> <figure id="id.039.01.334.1.jpg" xlink:href="newto_philo_039_la_1713/039-01-figures/039.01.334.1.jpg"/><lb/> Aquæ &longs;tagnantis particula unaquæque <lb/> undique premitur æqualiter, per Prop. <lb/> XIX. Lib. II, & pre&longs;&longs;ioni cedendo æquali <lb/> impetu in omnes partes fertur, &longs;ive de­<lb/> &longs;cendat per foramen in fundo va&longs;is, &longs;ive <lb/> horizontaliter effluat per foramen in ejus <lb/> latere, &longs;ive egrediatur in canalem & inde <lb/> a&longs;cendat per foramen parvum in &longs;uperiore <lb/> canalis parte factum. </s>
<s>Et velocitatem qua <lb/> aqua effluit, eam e&longs;&longs;e quam in hac Pro­<lb/> po&longs;itione a&longs;&longs;ignavimus, non &longs;olum rati­<lb/> one colligitus, &longs;ed etiam per experimenta <lb/> noti&longs;&longs;ima jam de&longs;cripta manife&longs;tum e&longs;t. <lb/> </s></p>
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<s><emph type="italics"/>Cas.<emph.end type="italics"/>5. Eadem e&longs;t aquæ effluentis velocitas &longs;ive figura foraminis <lb/> &longs;it circularis &longs;ive quadrata vel triangularis aut alia quæcunque cir­<lb/> culari æqualis. </s>
<s>Nam velocitas aquæ effluentis non pendet à figura <lb/> foraminis &longs;ed ab ejus altitudine infra planum <emph type="italics"/>KL.<emph.end type="italics"/><lb/> </s></p>
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<s><emph type="italics"/>Cas.<emph.end type="italics"/>6. Si va&longs;is <emph type="italics"/>ABDC<emph.end type="italics"/>pars inferior in aquam &longs;tagnantem im-