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

Table of Notes

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            <s xml:id="echoid-s7027" xml:space="preserve">(IV) Quod maximam oſtendit auræ elaſticitatem eſt experimentum ter-
              <lb/>
            tium cum tormento nondum decurtato ſumtum, quod indicat aſcendere
              <lb/>
            potuiſſe globum accepto impetu ad altitudinem α = 58750 ped. </s>
            <s xml:id="echoid-s7028" xml:space="preserve">Angl. </s>
            <s xml:id="echoid-s7029" xml:space="preserve">Erat
              <lb/>
            autem longitudo animæ A G ſeu a = 7, 7: </s>
            <s xml:id="echoid-s7030" xml:space="preserve">longitudo A C (quantum ex
              <lb/>
            amplitudine animæ & </s>
            <s xml:id="echoid-s7031" xml:space="preserve">gravitate pulveris pyrii conjicio) erat = 0, 08. </s>
            <s xml:id="echoid-s7032" xml:space="preserve">De-
              <lb/>
            nique valor ipſius P (ſeu ponderis columnæ mercurialis, cujus baſis ſit cir-
              <lb/>
            culus maximus globi & </s>
            <s xml:id="echoid-s7033" xml:space="preserve">cujus altitudo ſit 30. </s>
            <s xml:id="echoid-s7034" xml:space="preserve">poll. </s>
            <s xml:id="echoid-s7035" xml:space="preserve">Angl. </s>
            <s xml:id="echoid-s7036" xml:space="preserve">ratione ponderis glo-
              <lb/>
            bi ferri deſignati per unitatem) invenitur poſita gravitate ſpecifica inter mer-
              <lb/>
            curium & </s>
            <s xml:id="echoid-s7037" xml:space="preserve">ferrum ut 17 ad 10 = 26, 8: </s>
            <s xml:id="echoid-s7038" xml:space="preserve">Et cum per §. </s>
            <s xml:id="echoid-s7039" xml:space="preserve">III. </s>
            <s xml:id="echoid-s7040" xml:space="preserve">ſit proxime n =
              <lb/>
            α: </s>
            <s xml:id="echoid-s7041" xml:space="preserve">(b P log {a/b}) erit n = 6004. </s>
            <s xml:id="echoid-s7042" xml:space="preserve">Unde ſequitur, ſi aura pulveris pyrii inflamma-
              <lb/>
            ti elaſticitatem habeat ſuæ denſitati proportionalem, eſſe illius maximam ela-
              <lb/>
            ſticitatem minimum ſexies millies majorem elaſticitate aëris ordinarii.</s>
            <s xml:id="echoid-s7043" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7044" xml:space="preserve">(V) At vero ſi jam conſideremus partem auræ inutilem, quæ avolat per
              <lb/>
            lumen accenſorium & </s>
            <s xml:id="echoid-s7045" xml:space="preserve">hiatum à globo relictum, majorem elaſticitatem inve-
              <lb/>
            niemus: </s>
            <s xml:id="echoid-s7046" xml:space="preserve">Calculus qui ad hanc quæſtionem ſolvendam requiritur, cum non
              <lb/>
            parum prolixus atque intricatus ſit, non hæſitavi hypotheſes adhibere paul-
              <lb/>
            lo liberiores, quibus admodum facilitatur: </s>
            <s xml:id="echoid-s7047" xml:space="preserve">quamvis ipſæ hypotheſes non
              <lb/>
            ſint omni rigore veræ, errorem tamen notabilem producere non poſſunt.
              <lb/>
            </s>
            <s xml:id="echoid-s7048" xml:space="preserve">Primo ponam utramque aperturam, per quam aura evolare poſſit, eſſe ve-
              <lb/>
            luti infinite parvam ratione animæ amplitudinis; </s>
            <s xml:id="echoid-s7049" xml:space="preserve">hoc poſito poterit ſingulis
              <lb/>
            momentis velocitas, cum qua aura avolat, æſtimari immediate ex preſſione
              <lb/>
            ſola: </s>
            <s xml:id="echoid-s7050" xml:space="preserve">hujusmodi autem hypotheſin ſine ullo ſenſibili errore fieri poſſe pro
              <lb/>
            omni fluido, tunc etiam cum foramina non ſunt admodum exigua, paſſim
              <lb/>
            ut corollarium ex theoria noſtra deduximus, & </s>
            <s xml:id="echoid-s7051" xml:space="preserve">multo facilius aſſumi poſſe in
              <lb/>
            fluido valde elaſtico facile quisque videbit ex eo, quod incrementum aſcen-
              <lb/>
            ſus potentialis ratione motus interni longe minus eſt ratione aſcenſus potentialis
              <lb/>
            particulæ per foramen exilientis in fluido, quod à propria elaſticitate ex-
              <lb/>
            pellitur, quam quod gravitatis vi ejicitur: </s>
            <s xml:id="echoid-s7052" xml:space="preserve">in priori enim minor eſt motus
              <lb/>
            localis internus quam in altero. </s>
            <s xml:id="echoid-s7053" xml:space="preserve">Secundo auræ pulveris pyrii inflammati vim
              <lb/>
            elaſticam tantam eſſe, ut niſus atmoſphæræ contrarius attendi non mereatur: </s>
            <s xml:id="echoid-s7054" xml:space="preserve">
              <lb/>
            tertio velocitatem globi in tormento utut permagnam, tamen minimam cen-
              <lb/>
            ſeri poſſe ratione velocitatis, qua aura per hiatum utrumque avolat, quia
              <lb/>
            nempe inertia iſtius auræ non poteſt non admodum eſſe exigua ratione </s>
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