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

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              <pb o="224" file="0238" n="238" rhead="HYDRODYNAMICÆ"/>
            niatur à diverſis, quos concipere poſſumus de ejus propagatione modis ita, ut
              <lb/>
            nunc videatur celeritatem eam eſſe quæ debeatur altitudini aëris homogenei,
              <lb/>
            nunc quæ dimidiæ altitudini reſpondeat, aut etiam dimidiæ altitudini multipli-
              <lb/>
            catæ per rationem quadrati circulo circumſcripti ad aream circuli, omnes ta-
              <lb/>
            men opiniones in eo conveniunt, quod celeritas ſoni proportionalis ſit radici
              <lb/>
            altitudinis aëris homogenei cum eo, in quo propagatur. </s>
            <s xml:id="echoid-s6593" xml:space="preserve">Si ita ſe res habeat,
              <lb/>
            celerius propagatur ſonus in aëre calido quam frigido, barometro alto quam
              <lb/>
            humili, (nihil dicam de ventis ſecundis aut contrariis); </s>
            <s xml:id="echoid-s6594" xml:space="preserve">multa in hanc rem
              <lb/>
            partim in Italia partim in Anglia ſumta fuerunt experimenta, hæcque poſterio-
              <lb/>
            ra docuerunt celeritatem ſoni mediam reſpondere 1140 ped. </s>
            <s xml:id="echoid-s6595" xml:space="preserve">Angl. </s>
            <s xml:id="echoid-s6596" xml:space="preserve">intra minu-
              <lb/>
            @um ſecundum perficiendis. </s>
            <s xml:id="echoid-s6597" xml:space="preserve">At quia in uno eodemque loco variabilis eſt al-
              <lb/>
            titudo atmoſphæræ homogeneæ nominatimque hic locorum excurrit à muta-
              <lb/>
            tionibus barometricis junctis cum mutationibus caloris à 3 uſque ad 4, variabi-
              <lb/>
            lis erit ubique celeritas ſoni, ſi vel nihil mutent venti, eaque celeritas in hiſce
              <lb/>
            terris continebitur intra terminos √ 3 & </s>
            <s xml:id="echoid-s6598" xml:space="preserve">√ 4, ſeu 173 & </s>
            <s xml:id="echoid-s6599" xml:space="preserve">200.</s>
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            <s xml:id="echoid-s6601" xml:space="preserve">§. </s>
            <s xml:id="echoid-s6602" xml:space="preserve">34. </s>
            <s xml:id="echoid-s6603" xml:space="preserve">Venio jam ad varias quæ fingi poſſunt de motu aëris quæſtio-
              <lb/>
            nes ſolvendas ſimiles illis, quas de motu fluidorum non elaſticorum in præce-
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            dentibus habuimus.</s>
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        <div xml:id="echoid-div242" type="section" level="1" n="186">
          <head xml:id="echoid-head237" xml:space="preserve">Problema.</head>
          <p>
            <s xml:id="echoid-s6605" xml:space="preserve">Sit motus definiendus aëris ex vaſe per foramen exiguum erumpentis
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            in ſpatium infinitum ab aëre vacuum.</s>
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          <head xml:id="echoid-head238" xml:space="preserve">Solutio.</head>
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            <s xml:id="echoid-s6607" xml:space="preserve">Apparet ex natura quæſtionis inſenſibilem eſſe motum localem aëris
              <lb/>
            interni quo ſeſe expandit, dum certa ſui quantitas per foramen erumpit: </s>
            <s xml:id="echoid-s6608" xml:space="preserve">Igi-
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            tur hic ſolus aſcenſus potentialis, quem particula aërea, dum expellitur, acqui-
              <lb/>
            rit conſiderandus eſt, atque comparandus cum deſcenſu actuali vel potius cum
              <lb/>
            diminutione elaſticitatis, quam aër internus habet. </s>
            <s xml:id="echoid-s6609" xml:space="preserve">Ut vero totam rem ad
              <lb/>
            methodum noſtram pro fluidis non elaſticis adhibitam reducamus, conſidera-
              <lb/>
            bimus cylindrum verticalem communis cum vaſe propoſito amplitudinis atque
              <lb/>
            tantæ altitudinis, quanta eſt altitudo aëris homogenei cum aëre interno, is ve-
              <lb/>
            ro cylindrus, ſi ſimili aëre plenus cenſeatur, ſed non elaſtico, eadem </s>
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