Bernoulli, Daniel, Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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            re, ſi canalis C E abſit: </s>
            <s xml:id="echoid-s8482" xml:space="preserve">Sed tunc eſt vis ſuſpenſorra = Ma - √(aa + ab),
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            quia pondus aquæ A B C eſt = Ma & </s>
            <s xml:id="echoid-s8483" xml:space="preserve">vis repellens per hypotheſin eſt ſimplex
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            cylindrus foramini C ad altitudinem a ſuperinſtructus. </s>
            <s xml:id="echoid-s8484" xml:space="preserve">Deberet igitur in hâc
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            hypotheſi ſemper eſſe Ma + a + b - 2√(aa + ab) = Ma - √(aa + ab)
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            ſeu a + b = √(aa + ab), quod eſt abſurdum. </s>
            <s xml:id="echoid-s8485" xml:space="preserve">Similis abſurditas demonſtra-
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            ri poſſet, ſi vena ſurſum verticaliter aſcendere putetur: </s>
            <s xml:id="echoid-s8486" xml:space="preserve">& </s>
            <s xml:id="echoid-s8487" xml:space="preserve">fruſtra hic excipe-
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            retur pro communi ſententia firmanda, venam effluentem C E fingi non poſſe
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            tanquam continuam, niſi aliqua aquæ tenacitas fingatur ſimul (aliàs enim ve-
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            nam mox præ orificio in guttulas abruptum iri) & </s>
            <s xml:id="echoid-s8488" xml:space="preserve">tenacitatem rei ſtatum per-
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            mutare: </s>
            <s xml:id="echoid-s8489" xml:space="preserve">nam profecto nec velocitates aquæ à cohæſione mutua aquæ in C E
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            mutantur nec latera canalis C E preſſionem ullam ſentiunt, ſicut demonſtravi
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            Sect. </s>
            <s xml:id="echoid-s8490" xml:space="preserve">XII. </s>
            <s xml:id="echoid-s8491" xml:space="preserve">§. </s>
            <s xml:id="echoid-s8492" xml:space="preserve">13. </s>
            <s xml:id="echoid-s8493" xml:space="preserve">ut taceam cohæſionem aquæ non oriri à tenacitate ſed ab ali-
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            qua virtute magnetica ſeu à mutua attractione, à qua virtute centrum gravita-
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            tis in nullo ſyſtemate nec majorem nec minorem velocitatem acquirere poteſt.
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            </s>
            <s xml:id="echoid-s8494" xml:space="preserve">Sed hæc porro adverſariorum exceptio in venis verticaliter aſcendentibus nul-
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            lum plane locum habet, cum aquæ ibi continuè maneant, ſi vel nulla aquisin-
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            ſit tenacitas aut mutua attractio.</s>
            <s xml:id="echoid-s8495" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s8496" xml:space="preserve">At poſſem infinitis aliis modis & </s>
            <s xml:id="echoid-s8497" xml:space="preserve">exemplis particularibus ſententiam
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            noſtram confirmare, ſi hiſce diutius inſiſtere vellem. </s>
            <s xml:id="echoid-s8498" xml:space="preserve">Ita v. </s>
            <s xml:id="echoid-s8499" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s8500" xml:space="preserve">in Fig. </s>
            <s xml:id="echoid-s8501" xml:space="preserve">29. </s>
            <s xml:id="echoid-s8502" xml:space="preserve">Sect.
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            </s>
            <s xml:id="echoid-s8503" xml:space="preserve">V. </s>
            <s xml:id="echoid-s8504" xml:space="preserve">§. </s>
            <s xml:id="echoid-s8505" xml:space="preserve">4. </s>
            <s xml:id="echoid-s8506" xml:space="preserve">deſcripta, ſi ſit altitudo N S = 1, orificium L M = 1, & </s>
            <s xml:id="echoid-s8507" xml:space="preserve">orificium
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            R S = 2, erit P B = {1/3}, vis repellens, quæ oritur ab effluxu aquæ per R S
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            = 2 X {2/3} = {4/3}, & </s>
            <s xml:id="echoid-s8508" xml:space="preserve">demonſtrare poſſum vim repellentem, quæ prodit ab ef-
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            fluxu aquæ ex ſimplici cylindro R N per L M eſſe etiam = {4/3}, & </s>
            <s xml:id="echoid-s8509" xml:space="preserve">ſic vim re-
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            pellentem totalem eſſe = {8/3}, quæ præciſe facit duplum cylindrum aqueum fo-
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            ramini L M ad altitudinem N S + P B inſiſtentem. </s>
            <s xml:id="echoid-s8510" xml:space="preserve">Talis autem conſenſus ex
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            aliis theoriis falſo receptis minime prodit, ita ut de noſtra amplius non poſ-
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            ſint dubitare, niſi harum rerum penitus ignari: </s>
            <s xml:id="echoid-s8511" xml:space="preserve">Id vero, quod dixi, vim re-
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            pellentem aquæ ex ſimplici cylindro R N per L M effluentis eſſe = {4/3}, ſi de-
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            monſtrare velim, poſtulat ut vis repellens definiatur, cum aquæ ex vaſe non
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            infinito data velocitate quacunque non variata fluunt: </s>
            <s xml:id="echoid-s8512" xml:space="preserve">Ne vero prolixior ſim
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            in hâc re, id aliis efficiendum relinquo; </s>
            <s xml:id="echoid-s8513" xml:space="preserve">neque id nunc amplius magnam fa-
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            ceſſet operam; </s>
            <s xml:id="echoid-s8514" xml:space="preserve">Pergo ad alia.</s>
            <s xml:id="echoid-s8515" xml:space="preserve"/>
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            <s xml:id="echoid-s8516" xml:space="preserve">§. </s>
            <s xml:id="echoid-s8517" xml:space="preserve">12. </s>
            <s xml:id="echoid-s8518" xml:space="preserve">Demonſtrationes quas adhuc dedimus non valent niſi pro </s>
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