Bernoulli, Daniel, Hydrodynamica, sive De viribus et motibus fluidorum commentarii

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            <s xml:id="echoid-s987" xml:space="preserve">
              <pb o="36" file="0050" n="50" rhead="HYDRODYNAMICÆ."/>
            hamus. </s>
            <s xml:id="echoid-s988" xml:space="preserve">Sæpe quidem fit, ut principium iſtud non ſine limitatione adhibe-
              <lb/>
            ri poſſit, quod in ſequentibus oſtendemus, nempe cum particulæ aquæ
              <lb/>
            motu ſingulæ diverſo ſeruntur, quo fit ut ſingulis momentis aliquid de mo-
              <lb/>
            tu, vel ſi mavis de aſcenſu potentiali, perdatur. </s>
            <s xml:id="echoid-s989" xml:space="preserve">Sed in præſenti caſu nihil
              <lb/>
            ſimile accidit, quandoquidem omnes particulæ ſimiliter fere moventur & </s>
            <s xml:id="echoid-s990" xml:space="preserve">
              <lb/>
            præſertim, quando foramen eſt valde parvum, motus particularum inter-
              <lb/>
            narum fere nullus eſt, nihilque adeo inde detrimenti venire poteſt. </s>
            <s xml:id="echoid-s991" xml:space="preserve">Alterum
              <lb/>
            autem principium, quo aſſumitur velocitatem cujuslibet particulæ eam eſſe,
              <lb/>
            quæ reſpondet inverſæ rationi amplitudinum, duplici quidem laborat in-
              <lb/>
            comniodo, primo nempe, quod motus circa latera vaſis tardior paulo ſit
              <lb/>
            quam in medio nec proin omnes particulæ eidem amplitudini vaſis reſpon-
              <lb/>
            dentes, æquali velocitate ferantur, & </s>
            <s xml:id="echoid-s992" xml:space="preserve">ſecundo, quod aqua à fundo non ad-
              <lb/>
            modum remota motum, quem principium hoc poſtulat, habere non poſ-
              <lb/>
            ſit: </s>
            <s xml:id="echoid-s993" xml:space="preserve">Utrumque autem nullum ſenſibilem errorem poſt ſe trahit, quando in
              <lb/>
            hoc problemate ſimplici figura vaſis interna nihil fere ad motum aquæ efflu-
              <lb/>
            entis attineat; </s>
            <s xml:id="echoid-s994" xml:space="preserve">Ex eadem ratione intelligitur non multum diverſum eſſe poſ-
              <lb/>
            ſe motum aquæ ſub alia quacunque directione effluentis, quia ſcilicet mo-
              <lb/>
            tus aquæ internus in ima vaſis parte tantum diverſus fit, hæcque diverſitas
              <lb/>
            nullius momenti fere eſſe poteſt. </s>
            <s xml:id="echoid-s995" xml:space="preserve">Apparet ergo hypotheſes, quibus calcu-
              <lb/>
            lus noſtri hujus Problematis innititur, ita convenire cum natura quæſtionis,
              <lb/>
            ut error inde nullus ſenſibus perceptibilis oriri poſſit. </s>
            <s xml:id="echoid-s996" xml:space="preserve">At vero impedimen-
              <lb/>
            ta ſupra memorata, attritus, tenacitas fluidi aliaque ſimilia majoris efficaciæ
              <lb/>
            ſunt, præſertim cum foramen, per quod fluida exiliunt, per quam exi-
              <lb/>
            guum, aut altitudo aquæ ſupra foramen admodum magna, aut denique
              <lb/>
            tubus valde gracilis eſt, qua de re experimenta plurima extant apud Mariot-
              <lb/>
            tum in tract. </s>
            <s xml:id="echoid-s997" xml:space="preserve">de mot. </s>
            <s xml:id="echoid-s998" xml:space="preserve">aquarum. </s>
            <s xml:id="echoid-s999" xml:space="preserve">Jam vero progredior ad examinandum mo-
              <lb/>
            tum aquarum ex vaſis Cylindricis per foramina cujuscunque magnitudinis
              <lb/>
            effluentium. </s>
            <s xml:id="echoid-s1000" xml:space="preserve">Vaſa autem compendii & </s>
            <s xml:id="echoid-s1001" xml:space="preserve">elegantioris ſolutionis cauſa conſi-
              <lb/>
            derabimus verticaliter poſita.</s>
            <s xml:id="echoid-s1002" xml:space="preserve"/>
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