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

Table of Notes

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        <div xml:id="echoid-div234" type="section" level="1" n="184">
          <head xml:id="echoid-head232" xml:space="preserve">
            <emph style="bf">HYDRODYNAMICÆ</emph>
          </head>
          <head xml:id="echoid-head233" xml:space="preserve">SECTIO DECIMA.</head>
          <head xml:id="echoid-head234" style="it" xml:space="preserve">De affectionibus atque motibus fluidorum elaſti-
            <lb/>
          corum, præcipue autem aëris.</head>
          <head xml:id="echoid-head235" xml:space="preserve">§. 1.</head>
          <p>
            <s xml:id="echoid-s5779" xml:space="preserve">FLuida nunc elaſtica conſideraturis licebit nobis talem iis affinge-
              <lb/>
            re conſtitutionem, quæ cum omnibus adhuc cognitis conveniat
              <lb/>
            affectionibus, ut ſic ad reliquas etiam nondum ſatis exploratas
              <lb/>
            detur aditus. </s>
            <s xml:id="echoid-s5780" xml:space="preserve">Fluidorum autem elaſticorum præcipuæ affectio-
              <lb/>
            nes in eo poſitæ ſunt: </s>
            <s xml:id="echoid-s5781" xml:space="preserve">1
              <emph style="super">0</emph>
            . </s>
            <s xml:id="echoid-s5782" xml:space="preserve">ut ſint gravia, 2
              <emph style="super">0</emph>
            . </s>
            <s xml:id="echoid-s5783" xml:space="preserve">ut ſe in omnes plagas expli-
              <lb/>
            cent, niſi contineantur, & </s>
            <s xml:id="echoid-s5784" xml:space="preserve">3
              <emph style="super">0</emph>
            . </s>
            <s xml:id="echoid-s5785" xml:space="preserve">ut ſe continue magis magisque comprimi
              <lb/>
            patiantur creſcentibus potentiis compreſſionis: </s>
            <s xml:id="echoid-s5786" xml:space="preserve">Ita comparatus eſt aër, ad
              <lb/>
            quem potiſſimum præſentes noſtræ pertinent cogitationes.</s>
            <s xml:id="echoid-s5787" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5788" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5789" xml:space="preserve">2. </s>
            <s xml:id="echoid-s5790" xml:space="preserve">Finge itaque vas cylindricum verticaliter poſitum A C D B
              <lb/>
            (Fig. </s>
            <s xml:id="echoid-s5791" xml:space="preserve">56.) </s>
            <s xml:id="echoid-s5792" xml:space="preserve">atque in illo operculum mobile E F, cui pondus P ſuper in-
              <lb/>
              <note position="left" xlink:label="note-0214-01" xlink:href="note-0214-01a" xml:space="preserve">Fig. 56.</note>
            cumbat: </s>
            <s xml:id="echoid-s5793" xml:space="preserve">contineat cavitas E C D F corpuſcula minima motu rapidiſſimo
              <lb/>
            hinc inde agitata: </s>
            <s xml:id="echoid-s5794" xml:space="preserve">ſic corpuſcula, dum impingunt in operculum E F idem-
              <lb/>
            que ſuis ſuſtinent impetibus continue repetitis fluidum componunt elaſticum
              <lb/>
            quod remoto aut diminuto pondere P ſeſe expandit: </s>
            <s xml:id="echoid-s5795" xml:space="preserve">quod eodem aucto
              <lb/>
            condenſatur & </s>
            <s xml:id="echoid-s5796" xml:space="preserve">quod in fundum horizontalem C D haud aliter gravitat, ac ſi
              <lb/>
            nulla virtute elaſtica eſſet præditum: </s>
            <s xml:id="echoid-s5797" xml:space="preserve">ſive enim quieſcant corpusſcula ſive agi-
              <lb/>
            tentur, non mutant gravitatem, ita ut fundum tum pondus tum elaſticita-
              <lb/>
            tem fluidi ſuſtineat. </s>
            <s xml:id="echoid-s5798" xml:space="preserve">Tale igitur fluidum quod cum primariis convenit flui-
              <lb/>
            dorum elaſticorum affectionibus ſubſtituemus aëri, atque ſic alias, quæ jam
              <lb/>
            in aëre detectæ fuerunt explicabimus aliasque nondum ſatis perpenſas ulte-
              <lb/>
            rius illuſtrabimus proprietates.</s>
            <s xml:id="echoid-s5799" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5800" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5801" xml:space="preserve">3. </s>
            <s xml:id="echoid-s5802" xml:space="preserve">Corpuſcula cavitati cylindri incluſa conſiderabimus tanquam nu-
              <lb/>
            mero infinita, & </s>
            <s xml:id="echoid-s5803" xml:space="preserve">cum ſpatium E C D F occupant, tunc aërem illa dicemus
              <lb/>
            formare naturalem, ad cujus menſuras omnia ſunt referenda: </s>
            <s xml:id="echoid-s5804" xml:space="preserve">atque ſic </s>
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