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

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            <s xml:id="echoid-s6973" xml:space="preserve">
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            locitati qua globus exploditur, ex data vi elaſtica auræ globum ejicientis, ita
              <lb/>
            viciſſim patet, ex obſervata illa altitudine vim auræ elaſticam deduci poſſe,
              <lb/>
            eſt enim
              <lb/>
            n = α: </s>
            <s xml:id="echoid-s6974" xml:space="preserve">(b P log. </s>
            <s xml:id="echoid-s6975" xml:space="preserve">{a/b}).</s>
            <s xml:id="echoid-s6976" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6977" xml:space="preserve">Exinde poterit vis elaſtica pulveris pyrii ſi non accurate definiri, ſaltem
              <lb/>
            ad terminos reduci, quos certe ſuperabit. </s>
            <s xml:id="echoid-s6978" xml:space="preserve">At quæres, qui altitudo a expe-
              <lb/>
            rimento determinari poſſit; </s>
            <s xml:id="echoid-s6979" xml:space="preserve">ad quod reſpondeo, poſſe eam ſat accurate col-
              <lb/>
            ligi ex tempore, quod globus verticaliter ſurſum ejectus ab exploſionis pun@
              <lb/>
            cto inſumit, dum in terram delabitur habita in calculo aëris reſiſtentiæ ratio-
              <lb/>
            ne. </s>
            <s xml:id="echoid-s6980" xml:space="preserve">Transſcribam huc experimenta in comm. </s>
            <s xml:id="echoid-s6981" xml:space="preserve">Acad. </s>
            <s xml:id="echoid-s6982" xml:space="preserve">Petrop. </s>
            <s xml:id="echoid-s6983" xml:space="preserve">tom. </s>
            <s xml:id="echoid-s6984" xml:space="preserve">2. </s>
            <s xml:id="echoid-s6985" xml:space="preserve">p. </s>
            <s xml:id="echoid-s6986" xml:space="preserve">p. </s>
            <s xml:id="echoid-s6987" xml:space="preserve">338 & </s>
            <s xml:id="echoid-s6988" xml:space="preserve">
              <lb/>
            339 recenſita, quorum calculum inſtitui factis, ratione aëris reſiſtentiæ hy-
              <lb/>
            potheſibus, gravitates ſpecificas ferri & </s>
            <s xml:id="echoid-s6989" xml:space="preserve">aëris eſſe ut 7650 ad 1 & </s>
            <s xml:id="echoid-s6990" xml:space="preserve">aërem, in
              <lb/>
            quo globus aſcendit, uniformis eſſe denfitatis: </s>
            <s xml:id="echoid-s6991" xml:space="preserve">gravitatum ſpecificarum ratio
              <lb/>
            paullo major aſſumta fuiſſe videtur quam debebat, ſed compenſabitur in al-
              <lb/>
            tiſſimis jactibus error à diminutione aëris denſitatum verſus ſuperiora.</s>
            <s xml:id="echoid-s6992" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6993" xml:space="preserve">„Tormenti ſitus omni accuratione ad perpendiculum erat accommo-
              <lb/>
            datus & </s>
            <s xml:id="echoid-s6994" xml:space="preserve">ſingulis vicibus in hunc ſitum reponebatur atque firmabatur: </s>
            <s xml:id="echoid-s6995" xml:space="preserve">ſin-
              <lb/>
            gula experimenta fuerunt repetita: </s>
            <s xml:id="echoid-s6996" xml:space="preserve">Erat autem longitudo animæ 7, 7. </s>
            <s xml:id="echoid-s6997" xml:space="preserve">ped.
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            </s>
            <s xml:id="echoid-s6998" xml:space="preserve">angl. </s>
            <s xml:id="echoid-s6999" xml:space="preserve">diameter globi erat 0, 2375 ped. </s>
            <s xml:id="echoid-s7000" xml:space="preserve">diameter animæ menſurata non fuit
              <lb/>
            neque magnitudo luminis accenſorii: </s>
            <s xml:id="echoid-s7001" xml:space="preserve">qualibet vice ponderabatur quantitas
              <lb/>
            pulveris pyrii adhibiti & </s>
            <s xml:id="echoid-s7002" xml:space="preserve">pendulo definiebatur tempus à puncto exploſionis
              <lb/>
            ad punctum, quo globus in terram cecidit: </s>
            <s xml:id="echoid-s7003" xml:space="preserve">tabula ſequens exhibet, tum
              <lb/>
            quæ obſervata, tum quæ calculo inde eruta fuerunt.</s>
            <s xml:id="echoid-s7004" xml:space="preserve"/>
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          quant. pulv. \\ pyr. numero \\ unciar. holl. \\ expreſſ. # tempus aſc. \\ & deſcens. in \\ min. ſec. ob-\\ ſerv. # altit. jactus \\ in aëre reſiſt, \\ per calculum \\ in ped. Angl. # temp. aſc. in \\ aëre reſiſt. \\ per calculum \\ in min. ſec. # temp. deſc. in \\ aëre reſiſt. \\ per calculum \\ in min. ſec. # altit. jactus in \\ vacuo per \\ calculum in \\ ped. Angl. # temp. aſcenſ. \\ & deſc. in va- \\ cuo per calc. \\ in min. ſec.
            <lb/>
          I # II # III # IV # V # VI # VII
            <lb/>
          {1/2} # 11 # 486 # 5, 42 # 5, 58 # 541 # 11, 6
            <lb/>
          2 # 34 # 4550 # 14, 37 # 19, 63 # 13694 # 58
            <lb/>
          4 # 45 # 7819 # 16, 84 # 28, 16 # 58750 # 121
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