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

Table of Notes

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          <pb o="89" file="0103" n="103" rhead="SECTIO QUARTA."/>
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        <div xml:id="echoid-div92" type="section" level="1" n="67">
          <head xml:id="echoid-head90" xml:space="preserve">Experimentum 12.</head>
          <p>
            <s xml:id="echoid-s2498" xml:space="preserve">Jam itaque uſus fui tubo cylindrico per quem facilior fit transfluxus eo-
              <lb/>
            que ob eandem rationem ampliore: </s>
            <s xml:id="echoid-s2499" xml:space="preserve">erat præterea arca cui tubus inſertus fuit
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            multo amplior, & </s>
            <s xml:id="echoid-s2500" xml:space="preserve">denique altitudo aquæ in arca contentæ ſupra axem tubi
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            multo minor fuit, ut minori velocitate aquæ transfluerent, ſicque obſtacu-
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            la minoris momenti offenderent: </s>
            <s xml:id="echoid-s2501" xml:space="preserve">Cætera fuerunt, ut ante.</s>
            <s xml:id="echoid-s2502" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2503" xml:space="preserve">Fuit igitur altitudo aquæ ſupra axem tubi = 130. </s>
            <s xml:id="echoid-s2504" xml:space="preserve">part. </s>
            <s xml:id="echoid-s2505" xml:space="preserve">o P = 553. </s>
            <s xml:id="echoid-s2506" xml:space="preserve">part.
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            </s>
            <s xml:id="echoid-s2507" xml:space="preserve">P Q = 453. </s>
            <s xml:id="echoid-s2508" xml:space="preserve">part. </s>
            <s xml:id="echoid-s2509" xml:space="preserve">P R = 297. </s>
            <s xml:id="echoid-s2510" xml:space="preserve">diameter G F vel M N = 19. </s>
            <s xml:id="echoid-s2511" xml:space="preserve">part. </s>
            <s xml:id="echoid-s2512" xml:space="preserve">tubique longi-
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            tudo 130. </s>
            <s xml:id="echoid-s2513" xml:space="preserve">part.</s>
            <s xml:id="echoid-s2514" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2515" xml:space="preserve">Vidi aquam in patinam delapſam cylindrum expleviſſe, qui 8 {1/2} part.
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            </s>
            <s xml:id="echoid-s2516" xml:space="preserve">in diametro continebat ad altitudinem 281. </s>
            <s xml:id="echoid-s2517" xml:space="preserve">part. </s>
            <s xml:id="echoid-s2518" xml:space="preserve">& </s>
            <s xml:id="echoid-s2519" xml:space="preserve">cujus proinde capacitas
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            erat 15950. </s>
            <s xml:id="echoid-s2520" xml:space="preserve">part. </s>
            <s xml:id="echoid-s2521" xml:space="preserve">cub. </s>
            <s xml:id="echoid-s2522" xml:space="preserve">In hoc caſu ponendum eſt a = {453. </s>
            <s xml:id="echoid-s2523" xml:space="preserve">453/4. </s>
            <s xml:id="echoid-s2524" xml:space="preserve">553} = 93. </s>
            <s xml:id="echoid-s2525" xml:space="preserve">part. </s>
            <s xml:id="echoid-s2526" xml:space="preserve">
              <lb/>
            e = 40. </s>
            <s xml:id="echoid-s2527" xml:space="preserve">part. </s>
            <s xml:id="echoid-s2528" xml:space="preserve">n = g = 284. </s>
            <s xml:id="echoid-s2529" xml:space="preserve">particulis quadratis & </s>
            <s xml:id="echoid-s2530" xml:space="preserve">b = 130. </s>
            <s xml:id="echoid-s2531" xml:space="preserve">His vero factis
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            ſubſtitutionibus fit
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            nb√{n/g} X log. </s>
            <s xml:id="echoid-s2532" xml:space="preserve">{a/a - e} = 284. </s>
            <s xml:id="echoid-s2533" xml:space="preserve">130. </s>
            <s xml:id="echoid-s2534" xml:space="preserve">log. </s>
            <s xml:id="echoid-s2535" xml:space="preserve">{93/53} = 20760,
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            cui numerus in experimento reſpondet, ut vidimus, 15950. </s>
            <s xml:id="echoid-s2536" xml:space="preserve">Hic vero nu-
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            merus fere quatuor quintas alterius explet, ſicque eidem proxime accedit,
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            cum in præcedenti exemplo ob rationes allatas ſimilis numerus à ſimili plus
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            quam dimidio defecerit,</s>
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          <p>
            <s xml:id="echoid-s2537" xml:space="preserve">Jam igitur abunde patet, ſolis obſtaculis extrinſecis attribuendum eſſe,
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            quod experimenta non ad amuſſim reſpondeant formulis; </s>
            <s xml:id="echoid-s2538" xml:space="preserve">interim tamen ta-
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            lia eſſe, ut non poſſint melius harum formularum robur demonſtrare.</s>
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