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

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          <pb o="223" file="0237" n="237" rhead="SECTIO DECIMA."/>
          <p>
            <s xml:id="echoid-s6557" xml:space="preserve">§. </s>
            <s xml:id="echoid-s6558" xml:space="preserve">31. </s>
            <s xml:id="echoid-s6559" xml:space="preserve">Ex iis quæ de agitatione particularum aërearum, à quâ utique
              <lb/>
            calor aëris pendet, præſertim vero, quæ §. </s>
            <s xml:id="echoid-s6560" xml:space="preserve">10. </s>
            <s xml:id="echoid-s6561" xml:space="preserve">monita fuerunt, apparet gra-
              <lb/>
            dum eundem caloris aëri ineſſe, quoties eadem ratio intercedit inter ejus ela-
              <lb/>
            ſticitatem atque denſitatem; </s>
            <s xml:id="echoid-s6562" xml:space="preserve">elaſticitatem indicat barometrum; </s>
            <s xml:id="echoid-s6563" xml:space="preserve">denſitatem
              <lb/>
            concludimus ex gravitate aëris ſpecifica; </s>
            <s xml:id="echoid-s6564" xml:space="preserve">atque inde ut vidimus §. </s>
            <s xml:id="echoid-s6565" xml:space="preserve">10, gradus
              <lb/>
            obtineri poterit caloris fixus, ſi aquæ bullientis calor incertus videatur, prouti
              <lb/>
            D°. </s>
            <s xml:id="echoid-s6566" xml:space="preserve">Fahrenheid obſervatus fuit pendere à pondere atmoſphæræ incumbentis.
              <lb/>
            </s>
            <s xml:id="echoid-s6567" xml:space="preserve">Inſtrumenta quæ ſingulis momentis denſitatem aëris indicant facile excogitari
              <lb/>
            poſſunt atque à multis deſcripta fuerunt.</s>
            <s xml:id="echoid-s6568" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6569" xml:space="preserve">Notandum hic eſt rationem illam modo dictam inter aëris elaſticitatem
              <lb/>
            ejuſque denſitatem ſimul exhibere altitudinem aëris homogenei, & </s>
            <s xml:id="echoid-s6570" xml:space="preserve">quia nobis
              <lb/>
            deinceps ſermo erit de iſta altitudine, convenit illam recte prius definire, quam
              <lb/>
            ad alia pergamus.</s>
            <s xml:id="echoid-s6571" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6572" xml:space="preserve">§. </s>
            <s xml:id="echoid-s6573" xml:space="preserve">32. </s>
            <s xml:id="echoid-s6574" xml:space="preserve">Si fingamus columnam aëream verticalem uniformis denſitatis
              <lb/>
            & </s>
            <s xml:id="echoid-s6575" xml:space="preserve">cum mercurio barometri ad æquilibrium compoſitam, erit altitudo illius
              <lb/>
            columnæ altitudo quam voco aëris homogenei pro data denſitate.</s>
            <s xml:id="echoid-s6576" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6577" xml:space="preserve">Et quia aëris mediocriter denſi gravitas ſpecifica eſt ad gravitatem ſpe-
              <lb/>
            cificam mercurii ut 1 ad 11000 ipſaque altitudo media mercurii in barometro
              <lb/>
            pro locis parum à ſuperficie maris elevatis ſit 2 {1/3} ped. </s>
            <s xml:id="echoid-s6578" xml:space="preserve">Pariſ. </s>
            <s xml:id="echoid-s6579" xml:space="preserve">erit altitudo aëris
              <lb/>
            homogenei mediocriter denſi 25666 pedum.</s>
            <s xml:id="echoid-s6580" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6581" xml:space="preserve">Patet ex iſta definitione altitudines illas, de quibus nunc dicimus, eo
              <lb/>
            minores eſſe, quo denſior eſt aër, cui altitudo reſpondere debet, & </s>
            <s xml:id="echoid-s6582" xml:space="preserve">quo mi-
              <lb/>
            nor eſt altitudo mercurii in barometro. </s>
            <s xml:id="echoid-s6583" xml:space="preserve">Igitur ſi idem ſit caloris gradus in mon-
              <lb/>
            tibus & </s>
            <s xml:id="echoid-s6584" xml:space="preserve">in ſuperficie maris, eadem quoque erit utrobique altitudo aëris ho-
              <lb/>
            mogenei, quia pro eodem caloris gradu aëris denſitas rationem ſequitur aëris
              <lb/>
            elaſticitatis ſeu altitudinis mercurii in barometro. </s>
            <s xml:id="echoid-s6585" xml:space="preserve">Apparet porro altitudinem
              <lb/>
            aëris homogenei in ſuperficie maris admodum decreſcere ab æquatore verſus
              <lb/>
            polos, quia frigus intenditur denſitaſque aëris augetur manente elaſticitate & </s>
            <s xml:id="echoid-s6586" xml:space="preserve">
              <lb/>
            in iiſdem regionibus minorem eſſe tempore hyemali quam æſtivo.</s>
            <s xml:id="echoid-s6587" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6588" xml:space="preserve">§. </s>
            <s xml:id="echoid-s6589" xml:space="preserve">33. </s>
            <s xml:id="echoid-s6590" xml:space="preserve">Multa ſunt quæ ad motum aëris definiendum pertinent, quo-
              <lb/>
            rum ſolutio pendet ab altitudine aëris homogenei: </s>
            <s xml:id="echoid-s6591" xml:space="preserve">Inter hæc etiam eſt propa-
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            gatio ſoni ejuſque celeritas: </s>
            <s xml:id="echoid-s6592" xml:space="preserve">Quamvis enim celeritas ſoni diverſimode </s>
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