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

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          <pb o="242" file="0256" n="256" rhead="HYDRODYNAMICÆ"/>
          <p>
            <s xml:id="echoid-s7144" xml:space="preserve">Unde in eodem tormento adhibitaque eadem pulveris quantitate & </s>
            <s xml:id="echoid-s7145" xml:space="preserve">
              <lb/>
            manente globi pondere, erunt decrementa jactuum proportronalia ampli-
              <lb/>
            tudinibus aperturarum.</s>
            <s xml:id="echoid-s7146" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7147" xml:space="preserve">Decrementa eadem fere ſequuntur rationem ſubduplicatam quantita-
              <lb/>
            tum pulveris adhibitarum cæteris paribus; </s>
            <s xml:id="echoid-s7148" xml:space="preserve">quia enim logarithmi magno-
              <lb/>
            rum numerorum in multo minori creſcunt ratione ac numeri ipſi & </s>
            <s xml:id="echoid-s7149" xml:space="preserve">quo-
              <lb/>
            niam inſuper eſt α = b P log. </s>
            <s xml:id="echoid-s7150" xml:space="preserve">{a/b}, poterit cæteris paribus ſtatui α propor-
              <lb/>
            tionale ipſi b, quia P non afficitur à b. </s>
            <s xml:id="echoid-s7151" xml:space="preserve">Sed decrementum, de quo ſermo eſt,
              <lb/>
            ceteris paribus rationem ſequitur quantitatis (α{3/2}): </s>
            <s xml:id="echoid-s7152" xml:space="preserve">(√ bp) ſeu rationem
              <lb/>
            quantitatis {b/√p}; </s>
            <s xml:id="echoid-s7153" xml:space="preserve">ipſum vero p, quod pondus denotat pulveris adhibiti eſt ut b;
              <lb/>
            </s>
            <s xml:id="echoid-s7154" xml:space="preserve">igitur decrementum prædictum ſequitur proxime rationem √ b, quæ ſub-
              <lb/>
            duplicata eſt quantitatis pulveris adhibiti. </s>
            <s xml:id="echoid-s7155" xml:space="preserve">Igitur ratione habita jactuum, de-
              <lb/>
            crementa multo majora ſunt in jactibus debilibus, quam vehementioribus,
              <lb/>
            idque etiam experimenta art. </s>
            <s xml:id="echoid-s7156" xml:space="preserve">(III) recenſita confirmare videntur: </s>
            <s xml:id="echoid-s7157" xml:space="preserve">non video
              <lb/>
            enim aliam rationem, cur in prima tabula experimentorum globi jactus in
              <lb/>
            vacuo, ſumtis duabus pulveris unciis, plus quam vigeſies ſexies altior eſſe
              <lb/>
            debuerit, quam cum uncia dimidia ſumeretur, & </s>
            <s xml:id="echoid-s7158" xml:space="preserve">cur mox duplicata pul-
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            veris quantitate ad 4. </s>
            <s xml:id="echoid-s7159" xml:space="preserve">uncias jactus tantum quadruplo altior poſt calculum pro-
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            deat, quam quantitate duarum unciarum.</s>
            <s xml:id="echoid-s7160" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s7161" xml:space="preserve">(XI) Quæ reliquæ in utraque tabula comparent experime
              <unsure/>
            ntorum in-
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            æqualitates, eas ut ſupra dixi, maximam partem derivo ab eo, quod pulvis
              <lb/>
            non omnis inflammatur, nec is qui inflammetur omnis ſtatim ab initio ex-
              <lb/>
            ploſionis flammam concipiat. </s>
            <s xml:id="echoid-s7162" xml:space="preserve">Neque certe id mirabimur, cum perpendimus
              <lb/>
            totum exploſionis tempus in exper. </s>
            <s xml:id="echoid-s7163" xml:space="preserve">4. </s>
            <s xml:id="echoid-s7164" xml:space="preserve">tab. </s>
            <s xml:id="echoid-s7165" xml:space="preserve">1. </s>
            <s xml:id="echoid-s7166" xml:space="preserve">nequidem centeſimam unius minuti
              <lb/>
            ſecundi partem efficere. </s>
            <s xml:id="echoid-s7167" xml:space="preserve">Igitur cum certum ſit maximam pulveris partem non
              <lb/>
            inflammatam ejici, nec exiguam partem reliqui tardius inflammari, quam in
              <lb/>
            calculo poſitum fuit; </s>
            <s xml:id="echoid-s7168" xml:space="preserve">cumque præterea notabilis pulveris pars fucata ſit vapo-
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            ribus materiaque terreſtri, quæ non accenditur, ſequitur longe majorem in-
              <lb/>
            efſe elaſticitatem partibus accenſis, quam quæ experimenti calculo art. </s>
            <s xml:id="echoid-s7169" xml:space="preserve">(X.)
              <lb/>
            </s>
            <s xml:id="echoid-s7170" xml:space="preserve">determinata fuit, fortaſſe decies aut centies major eſt.</s>
            <s xml:id="echoid-s7171" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7172" xml:space="preserve">At vero ſit tantum talis, quam experimentum oſtendit, </s>
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