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

Table of Notes

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            <s xml:id="echoid-s6244" xml:space="preserve">(I) In altitudine 1070 ped. </s>
            <s xml:id="echoid-s6245" xml:space="preserve">Pariſ. </s>
            <s xml:id="echoid-s6246" xml:space="preserve">à ſuperficie maris barometrum deſcen-
              <lb/>
            dit 16 {1/3} lin. </s>
            <s xml:id="echoid-s6247" xml:space="preserve">cum in ſuperficie maris altitudinem teneret 28 poll. </s>
            <s xml:id="echoid-s6248" xml:space="preserve">4 {2/3} lin. </s>
            <s xml:id="echoid-s6249" xml:space="preserve">(alii po-
              <lb/>
            nunt ſimpliciter 28 poll. </s>
            <s xml:id="echoid-s6250" xml:space="preserve">in ſchedis autem quas D. </s>
            <s xml:id="echoid-s6251" xml:space="preserve">De Lisle mecum communi-
              <lb/>
            cavit habetur 28 poll. </s>
            <s xml:id="echoid-s6252" xml:space="preserve">4 {2/3} lin.)</s>
            <s xml:id="echoid-s6253" xml:space="preserve">. </s>
            <s xml:id="echoid-s6254" xml:space="preserve">Igitur poſita elaſticitate aëris in ſuperficie ma-
              <lb/>
            ris, uti deinceps ſemper ponam, = 1; </s>
            <s xml:id="echoid-s6255" xml:space="preserve">inventa fuit elaſticitas in loco ſuperiori
              <lb/>
            quam deſignabo per E = 0, 9520.</s>
            <s xml:id="echoid-s6256" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6257" xml:space="preserve">(II) In altitudine à ſuperficie maris 1542 ped. </s>
            <s xml:id="echoid-s6258" xml:space="preserve">Pariſ. </s>
            <s xml:id="echoid-s6259" xml:space="preserve">deſcendit Mercurius in
              <lb/>
            barometro 21 {1/2} lin. </s>
            <s xml:id="echoid-s6260" xml:space="preserve">qui in mari ad altitudinem 28 poll. </s>
            <s xml:id="echoid-s6261" xml:space="preserve">2 lin. </s>
            <s xml:id="echoid-s6262" xml:space="preserve">ſuſpenſus hæſit: </s>
            <s xml:id="echoid-s6263" xml:space="preserve">hic
              <lb/>
            igitur fuit E = 0, 9364.</s>
            <s xml:id="echoid-s6264" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s6265" xml:space="preserve">(III) In altitudine montis Pici ſuper Inſula Teneriffa 13158 ped. </s>
            <s xml:id="echoid-s6266" xml:space="preserve">Pariſ. </s>
            <s xml:id="echoid-s6267" xml:space="preserve">à ſu-
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            perficie maris ſtetit mercurius ad altitudinem 17 poll. </s>
            <s xml:id="echoid-s6268" xml:space="preserve">5. </s>
            <s xml:id="echoid-s6269" xml:space="preserve">lin. </s>
            <s xml:id="echoid-s6270" xml:space="preserve">dum in ſuperficie
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            maris teneret altit. </s>
            <s xml:id="echoid-s6271" xml:space="preserve">27 poll. </s>
            <s xml:id="echoid-s6272" xml:space="preserve">10 lin. </s>
            <s xml:id="echoid-s6273" xml:space="preserve">unde eo in loco fuit E = 0, 6257.</s>
            <s xml:id="echoid-s6274" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s6275" xml:space="preserve">(IV) Si in minoribus altitudinibus accurate deſcenſus Mercurii obſer-
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            ventur, reperitur deſcenſum unius lineæ reſpondere altitudini 65 aut 66 ped.
              <lb/>
            </s>
            <s xml:id="echoid-s6276" xml:space="preserve">Igitur in altitudine 65 ped. </s>
            <s xml:id="echoid-s6277" xml:space="preserve">eſt E = 0, 9970. </s>
            <s xml:id="echoid-s6278" xml:space="preserve">Extant paſſim hæ obſervationes: </s>
            <s xml:id="echoid-s6279" xml:space="preserve">
              <lb/>
            tertiam autem habeo à D
              <emph style="super">no</emph>
            . </s>
            <s xml:id="echoid-s6280" xml:space="preserve">De Lisle fuitque à R. </s>
            <s xml:id="echoid-s6281" xml:space="preserve">P. </s>
            <s xml:id="echoid-s6282" xml:space="preserve">Feuillée inſtituta atque co-
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            ram Societate Reg. </s>
            <s xml:id="echoid-s6283" xml:space="preserve">Scient. </s>
            <s xml:id="echoid-s6284" xml:space="preserve">Pariſ. </s>
            <s xml:id="echoid-s6285" xml:space="preserve">prælecta: </s>
            <s xml:id="echoid-s6286" xml:space="preserve">eſtque illa ſcopulus, ad quem omnes,
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            quæ adhuc lucem aſpexerunt, theoriæ illidunt.</s>
            <s xml:id="echoid-s6287" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s6288" xml:space="preserve">§. </s>
            <s xml:id="echoid-s6289" xml:space="preserve">24. </s>
            <s xml:id="echoid-s6290" xml:space="preserve">Ut jam pateat, quouſque hæc cum poſitione logarithmicæ,
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            ceu ſcalæ altitudinum elaſticitatibus reſpondentium conveniant, ponemus al-
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            titudinem loci à ſuperficie maris certo numero pedum Pariſinorum definien-
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            dam = x: </s>
            <s xml:id="echoid-s6291" xml:space="preserve">elaterem aëris in ſuperficie maris deſignabimus per 1, & </s>
            <s xml:id="echoid-s6292" xml:space="preserve">elaterem
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            aëris in altitudine x ponemus = E. </s>
            <s xml:id="echoid-s6293" xml:space="preserve">Notetur autem atmoſphæram nunc nobis
              <lb/>
            conſiderari invariatam aut ſaltem ſibi conſtanter ſimilem, ita ut elateres aëris
              <lb/>
            in ſuperficie maris & </s>
            <s xml:id="echoid-s6294" xml:space="preserve">in altitudine quacunque x conſtantem ſervent rationem.
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            </s>
            <s xml:id="echoid-s6295" xml:space="preserve">Si enim admodum inæqualiter in diverſis atmoſphæræ altitudinibus, nulla ſer-
              <lb/>
            vata proportione elateres inconſtantia temporis mutentur, ſane nulla excogi-
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            tari poterit regula. </s>
            <s xml:id="echoid-s6296" xml:space="preserve">His præmiſſis ponamus nunc æquationem α log. </s>
            <s xml:id="echoid-s6297" xml:space="preserve">E = x ubi
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            coëfficiens α unica determinabitur obſervatione: </s>
            <s xml:id="echoid-s6298" xml:space="preserve">utamur obſervatione prima
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            & </s>
            <s xml:id="echoid-s6299" xml:space="preserve">erit α log. </s>
            <s xml:id="echoid-s6300" xml:space="preserve">0, 9520 = 1070, hincque α (ſecundum logarithmos Vlacquia-
              <lb/>
            nos) = - 50194. </s>
            <s xml:id="echoid-s6301" xml:space="preserve">Igitur pro hoc negotio, ſi logarithmica ſatisfacere de-
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            beat, ponendum eſſet - 50194 log. </s>
            <s xml:id="echoid-s6302" xml:space="preserve">E = x, ſive log. </s>
            <s xml:id="echoid-s6303" xml:space="preserve">{1/E} = {x/50194}: </s>
            <s xml:id="echoid-s6304" xml:space="preserve"/>
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