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

Page concordance

< >
Scan Original
121 107
122 108
123 109
124 110
125 111
126 112
127 113
128 114
129 115
130 116
131 117
132 118
133 119
134 120
135 121
136 122
137 123
138
139 125
140 126
141 127
142 128
143 129
144 130
145 131
146 132
147 133
148 134
149 135
150 136
< >
page |< < (200) of 361 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div231" type="section" level="1" n="183">
          <pb o="200" file="0214" n="214"/>
        </div>
        <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>
          </p>
        </div>
      </text>
    </echo>