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

Table of Notes

< >
< >
page |< < (215) of 361 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div234" type="section" level="1" n="184">
          <p>
            <s xml:id="echoid-s6304" xml:space="preserve">
              <pb o="215" file="0229" n="229" rhead="SECTIO DECIMA."/>
            hujus autem æquationis normam, ſi ponatur pro ſecunda obſervatione
              <lb/>
            x = 1542, invenitur E = 0, 9317, ipſa autem obſervatio indicat E = 0,
              <lb/>
            9364: </s>
            <s xml:id="echoid-s6305" xml:space="preserve">differentia inter hypotheſin & </s>
            <s xml:id="echoid-s6306" xml:space="preserve">obſervationem eſt plus quam ſeſquilineæ,
              <lb/>
            quæ ſane notabilis eſt reſpectu habito ad differentiam parvam altitudinum ver-
              <lb/>
            ticalium.</s>
            <s xml:id="echoid-s6307" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6308" xml:space="preserve">Si jam porro pro tèrtia obſervatione ponatur x = 13158, fit ex hypo-
              <lb/>
            theſi E = 0, 5469, dum experimentum indicavit E = 0, 6257: </s>
            <s xml:id="echoid-s6309" xml:space="preserve">quæ diffe-
              <lb/>
            rentia nimia eſt, quam ut ullo modo logarithmica ſervari poſſit: </s>
            <s xml:id="echoid-s6310" xml:space="preserve">valet enim
              <lb/>
            hæc differentia plus quam duos pollices cum duabus lineis.</s>
            <s xml:id="echoid-s6311" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6312" xml:space="preserve">§. </s>
            <s xml:id="echoid-s6313" xml:space="preserve">25. </s>
            <s xml:id="echoid-s6314" xml:space="preserve">Rejecta logarithmica conſequens eſt elaſticitates in diverſis at-
              <lb/>
            moſphæræ altitudinibus nequaquam eſſe denſitatibus proportionales, aut quod
              <lb/>
            eodem recidit, diverſum eſſe in diverſis altitudinibus medium caloris gradum.
              <lb/>
            </s>
            <s xml:id="echoid-s6315" xml:space="preserve">Aliæ igitur ab aliis, quibus defectus iſte probe fuit notatus, fuerunt excogita-
              <lb/>
            tæ regulæ: </s>
            <s xml:id="echoid-s6316" xml:space="preserve">earum tamen nulla ad experimentum III. </s>
            <s xml:id="echoid-s6317" xml:space="preserve">(§. </s>
            <s xml:id="echoid-s6318" xml:space="preserve">23.) </s>
            <s xml:id="echoid-s6319" xml:space="preserve">ſatis accommo-
              <lb/>
            data dici poteſt. </s>
            <s xml:id="echoid-s6320" xml:space="preserve">Veram, quam natura ſequatur, legem invenire, rem eſſe pu-
              <lb/>
            to vix ſperandam: </s>
            <s xml:id="echoid-s6321" xml:space="preserve">quis enim aliter quam levibus conjecturis aſſequetur@ ra-
              <lb/>
            tionem velocitatum mediarum in particulis aëreis: </s>
            <s xml:id="echoid-s6322" xml:space="preserve">Incidi tamen forte in ali-
              <lb/>
            quam hypotheſin, quæ phænomenis non male reſpondet: </s>
            <s xml:id="echoid-s6323" xml:space="preserve">prius autem pro
              <lb/>
            quacunque velocitatum lege curvam dabo, quam ad ſpecialem iſtam hypothe-
              <lb/>
            ſin deſcendam.</s>
            <s xml:id="echoid-s6324" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6325" xml:space="preserve">§. </s>
            <s xml:id="echoid-s6326" xml:space="preserve">26. </s>
            <s xml:id="echoid-s6327" xml:space="preserve">Sit linea verticalis A D (Fig. </s>
            <s xml:id="echoid-s6328" xml:space="preserve">59,); </s>
            <s xml:id="echoid-s6329" xml:space="preserve">Q F horizontalis radat ſu-
              <lb/>
              <note position="right" xlink:label="note-0229-01" xlink:href="note-0229-01a" xml:space="preserve">Fig. 59.</note>
            perficiem maris: </s>
            <s xml:id="echoid-s6330" xml:space="preserve">Denotet B F velocitatem mediam particularum aërearum in
              <lb/>
            ſuperficie maris: </s>
            <s xml:id="echoid-s6331" xml:space="preserve">B M denſitatem mediam & </s>
            <s xml:id="echoid-s6332" xml:space="preserve">B Q elaſticitatem, quæ in omni
              <lb/>
            loco æque alto eadem eſt. </s>
            <s xml:id="echoid-s6333" xml:space="preserve">Deinde per puncta F, M, Q ductæ concipiantur
              <lb/>
            curvæ E F H, L M O, P Q S ceu ſcalæ, quæ in omnibus altitudinibus, veluti
              <lb/>
            B C, applicatis C G, C N, C R denotent velocitates medias particularum aë-
              <lb/>
            rearum, denſitates medias & </s>
            <s xml:id="echoid-s6334" xml:space="preserve">elaſticitates medias. </s>
            <s xml:id="echoid-s6335" xml:space="preserve">Datis nunc duabus curvis ter-
              <lb/>
            tiam licet determinare ex eo, quod elaſticitates (ceu experientia docuit & </s>
            <s xml:id="echoid-s6336" xml:space="preserve">
              <lb/>
            §. </s>
            <s xml:id="echoid-s6337" xml:space="preserve">§. </s>
            <s xml:id="echoid-s6338" xml:space="preserve">3. </s>
            <s xml:id="echoid-s6339" xml:space="preserve">4 5. </s>
            <s xml:id="echoid-s6340" xml:space="preserve">& </s>
            <s xml:id="echoid-s6341" xml:space="preserve">6. </s>
            <s xml:id="echoid-s6342" xml:space="preserve">explicatum fuit) ſint proxime in ratione compoſita ex qua-
              <lb/>
            drato velocitatum modo dictarum & </s>
            <s xml:id="echoid-s6343" xml:space="preserve">ſimplici denſitatum.</s>
            <s xml:id="echoid-s6344" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6345" xml:space="preserve">Ipſe quidem monui prædicto loco hanc proportionem non poſſe exa-
              <lb/>
            cte eſſe veram, quia aër quidem elaterem poteſt habere infinitum ſeu vi in-
              <lb/>
            finita comprimi, non poteſt autem in ſpatium plane infinite parvum </s>
          </p>
        </div>
      </text>
    </echo>
Impressum