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

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            <s xml:id="echoid-s354" xml:space="preserve">
              <pb o="13" file="0027" n="27" rhead="SECTIO PRIMA."/>
            ſed cum talia non ſunt, facile eſt videre, partem virium vivarum ſive aſcenſ{us}
              <lb/>
            potentialis in compreſſionem corporum impenſam corporibus non reſtitui, ſed
              <lb/>
            materiæ cuidam ſubtili, ad quam tranſiit, impreſſam hærere: </s>
            <s xml:id="echoid-s355" xml:space="preserve">ſi tamen res
              <lb/>
            recte conſideretur, quum ratio cognoſcitur, quæ eſt inter partem corporibus
              <lb/>
            reſiduam, eamque quæ ad materiam ſubtilem tranſiit; </s>
            <s xml:id="echoid-s356" xml:space="preserve">apparebit, facile occur-
              <lb/>
            ri poſſe iſti incommodo, ſicque recte definiri leges motuum pro corporibus
              <lb/>
            mollibus. </s>
            <s xml:id="echoid-s357" xml:space="preserve">Simile quid ſuccedit in motu aquarum computando, ubi quan-
              <lb/>
            doque manifeſtum eſt, partem aſcenſ{us} potentialis continue perdi; </s>
            <s xml:id="echoid-s358" xml:space="preserve">cujus utique
              <lb/>
            rei in ſubducendo calculo ratio habenda eſt: </s>
            <s xml:id="echoid-s359" xml:space="preserve">ad quod probe attento multa
              <lb/>
            de aquarum fluxu Theoremata nova mihi contigit detegere, quæ videre eſt in
              <lb/>
            Sect. </s>
            <s xml:id="echoid-s360" xml:space="preserve">Sext. </s>
            <s xml:id="echoid-s361" xml:space="preserve">& </s>
            <s xml:id="echoid-s362" xml:space="preserve">Sept. </s>
            <s xml:id="echoid-s363" xml:space="preserve">& </s>
            <s xml:id="echoid-s364" xml:space="preserve">de quibus nondum video, an ulla alia methodo demon-
              <lb/>
            ſtrari nedum excogitari poſſint.</s>
            <s xml:id="echoid-s365" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s366" xml:space="preserve">§. </s>
            <s xml:id="echoid-s367" xml:space="preserve">21. </s>
            <s xml:id="echoid-s368" xml:space="preserve">Sic igitur non incautus principio noſtro uſus ſum, hocque mo-
              <lb/>
            do non ſolum de motu aquarum, ſed & </s>
            <s xml:id="echoid-s369" xml:space="preserve">de earum preſſione, quod mirum
              <lb/>
            videri poteſt, multa antea incognita ſe offerunt, quæ nondum inſtituta Ana-
              <lb/>
            lyſi nemo facile præviderit nec expectarit. </s>
            <s xml:id="echoid-s370" xml:space="preserve">Quum vero fit, ut aſcenſ{us} poten-
              <lb/>
            tialis nec omnis conſervari poſſit ex rei natura, nec prævideri, quanta pars
              <lb/>
            abſorbeatur, non ſatis accurate motus fluidorum determinari poteſt, nec pu-
              <lb/>
            to, ulla alia methodo poſſe. </s>
            <s xml:id="echoid-s371" xml:space="preserve">Igitur Lectorem cautum eſſe velim in corolla-
              <lb/>
            riis ex Theoria noſtra deducendis, quæ ſæpe propter mutatas circumſtantias
              <lb/>
            non accurate cum experimentis convenire poterunt.</s>
            <s xml:id="echoid-s372" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s373" xml:space="preserve">§ 22. </s>
            <s xml:id="echoid-s374" xml:space="preserve">Ex præmemoratis jam ſatis liquet, ex noſtra methodo requiri,
              <lb/>
            ut ſingularum particularum fluidi definiatur velocitas ex aſſumta velocitate,
              <lb/>
            quæ eſt aliquo in loco, veluti in loco effluxus. </s>
            <s xml:id="echoid-s375" xml:space="preserve">Neceſſe proin fuit, aliam
              <lb/>
            ſuperaddere hypotheſin, quæ hæc eſt: </s>
            <s xml:id="echoid-s376" xml:space="preserve">poſtquam ſcilicet mente concepimus
              <lb/>
            diviſum fluidum in ſtrata, ad directionem motus perpendicularia, ponemus
              <lb/>
            fluidi particulas ejusdem ſtrati eadem velocitate moveri, ita, ut ubique velo-
              <lb/>
            citas fluidi reciproce proportionalis ſit amplitudini vaſis reſpondenti. </s>
            <s xml:id="echoid-s377" xml:space="preserve">Uſita-
              <lb/>
            ta eſt hæc hypotheſis, quamvis cæterum notum ſit, fluidum ad latera vaſis
              <lb/>
            paullo tardius, in medio autem velocius moveri, quod ab attritu fit, alias-
              <lb/>
            que etiam exceptiones ſubinde eſſe faciendas; </s>
            <s xml:id="echoid-s378" xml:space="preserve">error tamen notabilis ab hujus-
              <lb/>
            modi defectibus rariſſime poteſt oriri.</s>
            <s xml:id="echoid-s379" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s380" xml:space="preserve">§. </s>
            <s xml:id="echoid-s381" xml:space="preserve">23. </s>
            <s xml:id="echoid-s382" xml:space="preserve">Finiam hæcce de hypotheſibus noſtris præmonita recenſione
              <lb/>
            phænomenorum, quæ conſervationem virium vivarum in motu fluidorum </s>
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