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

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          <pb o="4" file="0018" n="18" rhead="HYDRODYNAMICÆ"/>
          <p>
            <s xml:id="echoid-s88" xml:space="preserve">§. </s>
            <s xml:id="echoid-s89" xml:space="preserve">3. </s>
            <s xml:id="echoid-s90" xml:space="preserve">Hæc cum ita ſint, facile quiſque ſecum judicabit, quam parum
              <lb/>
            ſpei ſuperſit, aliquando Leges motuum pro fluidis ad regulas Geometriæ pu-
              <lb/>
            ræ reductum iri, ſine ulla hypotheſi phyſica, cum vel in ipſo limine effuge-
              <lb/>
            rint perſpicaciam Viri ingenio præpotentis & </s>
            <s xml:id="echoid-s91" xml:space="preserve">incomparabilis: </s>
            <s xml:id="echoid-s92" xml:space="preserve">neque ego cre-
              <lb/>
            do poſſe ea, quæ in hoc opere expoſiturus ſum, omnem rigorem mathema-
              <lb/>
            ticum ſubire: </s>
            <s xml:id="echoid-s93" xml:space="preserve">Principia Theoriæ phyſica ſunt & </s>
            <s xml:id="echoid-s94" xml:space="preserve">non ſine largitione acceptan-
              <lb/>
            da ut proxime vera; </s>
            <s xml:id="echoid-s95" xml:space="preserve">admiſſis autem principiis, omnia erunt Geometrica, & </s>
            <s xml:id="echoid-s96" xml:space="preserve">
              <lb/>
            nullis obnoxia reſtrictionibus, neceſſario nexu inter ſe cohærebunt. </s>
            <s xml:id="echoid-s97" xml:space="preserve">Non
              <lb/>
            poſſum tamen, quam bene ſentire de phyſicis iſtis poſitionibus, in quas forte
              <lb/>
            incidi, quandoquidem me manuduxerunt ad plurimas novas proprietates,
              <lb/>
            cum de æquilibrio tum de motu fluidorum detegendas, quæ, niſi me amor
              <lb/>
            ſ
              <unsure/>
            uſcepti laboris fallit, aliquando Hydrodynamicam inſigniter promovebunt,
              <lb/>
            @@ magis excolantur, quam mihi licuit; </s>
            <s xml:id="echoid-s98" xml:space="preserve">ubi monuiſſe conveniet, quando mul-
              <lb/>
            tis, quicquid novum eſt, ſuſpectum eſſe ſolet, totam me Theoriam animo
              <lb/>
            concepiſſe, tractatum conſcripſiſſe, pleraque cum amicis privatim commu-
              <lb/>
            nicaſſe, quædam etiam coram Societate noſtra prælegiſſe, priuſquam ullum
              <lb/>
            experimentum inſtituerim, ne ex præconceptis menſuris opinione falſa, pro-
              <lb/>
            xime tamen illis ſatisfaciente, me falli paterer, quandoque etiam Viros per-
              <lb/>
            ſpicaciſſimos intellectis theorematis aperte faſſos eſſe, ſe ſibi talia perſuadere
              <lb/>
            non poſſe, nec experimentis confirmatum iri exiſtimare; </s>
            <s xml:id="echoid-s99" xml:space="preserve">hisque omnibus ge-
              <lb/>
            ſtis, facta demum fuiſſe experimenta coram Amicis, hæcque ita conveniſſe
              <lb/>
            cum Theoria, quantum ipſe vix ſperare poteram. </s>
            <s xml:id="echoid-s100" xml:space="preserve">Nunc vero redeamus il-
              <lb/>
            luc, unde divertimus.</s>
            <s xml:id="echoid-s101" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s102" xml:space="preserve">§. </s>
            <s xml:id="echoid-s103" xml:space="preserve">4. </s>
            <s xml:id="echoid-s104" xml:space="preserve">Poſtquam certi fuerunt Authores de diverſitate velocitatum a mu-
              <lb/>
            tatis altitudinibus, vaſa conſiderare cœperunt magis compoſita, fiſtuiis nempe
              <lb/>
            varie inclinatis atque inæqualiter amplis inſtructa. </s>
            <s xml:id="echoid-s105" xml:space="preserve">Harum autem indolem
              <lb/>
            jam ſuo tempore quodammodo cognovit Frontinus, non ignarus, modulum
              <lb/>
            augeri a declivitate vel humilitate calicis, id eſt, fiſtulæ ſignatæ, quæ caſtel-
              <lb/>
            lo, aut aliquando etiam rivo induebatur: </s>
            <s xml:id="echoid-s106" xml:space="preserve">unde etiam calices ad lineam, uti
              <lb/>
            loquitur, ordinari
              <unsure/>
            & </s>
            <s xml:id="echoid-s107" xml:space="preserve">in eadem altitudine poni juſſit. </s>
            <s xml:id="echoid-s108" xml:space="preserve">Et hoc quidem reſpe-
              <lb/>
            ctu injuſte poſtulatur Fronti@@@s a quibusdam, velocitatis nullam habuiſſe ra-
              <lb/>
            tionem; </s>
            <s xml:id="echoid-s109" xml:space="preserve">ubi vero calculum ponit om@@is
              <unsure/>
            aquæ acceptæ, illamque comparat
              <lb/>
            @um eroganda, non video, quomodo excu@@@ poſſit. </s>
            <s xml:id="echoid-s110" xml:space="preserve">Experientia quoque
              <lb/>
            @@@ctus fuerat, quod notari meretur, plus debito aq@@@ erogari per </s>
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