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

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        <div xml:id="echoid-div200" type="section" level="1" n="156">
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            <s xml:id="echoid-s4960" xml:space="preserve">
              <pb o="171" file="0185" n="185" rhead="SECTIO NONA."/>
            vocat, Cteſibianis. </s>
            <s xml:id="echoid-s4961" xml:space="preserve">Loquor autem de foraminibus ita diſpoſitis, ut omnis
              <lb/>
            aqua effluxura per illa tranſire debeat. </s>
            <s xml:id="echoid-s4962" xml:space="preserve">Iſtud jam detrimenti genus tali de-
              <lb/>
            finietur calculo.</s>
            <s xml:id="echoid-s4963" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4964" xml:space="preserve">Sit amplitudo foraminis ultimi aquas in aërem emittentis = n, ampli-
              <lb/>
            tudines autem reliquorum foraminum, per quæ aquæ trajiciuntur intra ma-
              <lb/>
            chinam, deſignentur litteris α, β, γ, &</s>
            <s xml:id="echoid-s4965" xml:space="preserve">c. </s>
            <s xml:id="echoid-s4966" xml:space="preserve">& </s>
            <s xml:id="echoid-s4967" xml:space="preserve">erit, poſita utrobique eadem
              <lb/>
            potentia movente, altitudo debita velocitati aquæ effluentis ad ſimilem altitu-
              <lb/>
            dinem nullis obſtantibus foraminibus internis, ut
              <lb/>
            1 ad 1 + {nn/αα} + {nn/ββ} + {nn/γγ} + &</s>
            <s xml:id="echoid-s4968" xml:space="preserve">c. </s>
            <s xml:id="echoid-s4969" xml:space="preserve">(per §. </s>
            <s xml:id="echoid-s4970" xml:space="preserve">11. </s>
            <s xml:id="echoid-s4971" xml:space="preserve">ſect. </s>
            <s xml:id="echoid-s4972" xml:space="preserve">8.) </s>
            <s xml:id="echoid-s4973" xml:space="preserve">ſequitur inde factis iſtis
              <lb/>
            altitudinibus inter ſe æqualibus, fore potentias moventes ut
              <lb/>
            1 + {nn/αα} + {nn/ββ} + {nn/γγ} + &</s>
            <s xml:id="echoid-s4974" xml:space="preserve">c.</s>
            <s xml:id="echoid-s4975" xml:space="preserve">ad 1, & </s>
            <s xml:id="echoid-s4976" xml:space="preserve">quia utrobique velocitates potentiarum
              <lb/>
            moventium eædem ſunt, ſimilem quoque pro iisdem temporibus rationem
              <lb/>
            habebunt potentiæ abſolutæ. </s>
            <s xml:id="echoid-s4977" xml:space="preserve">Superflua igitur eſt pars ejus {nn/αα} + {nn/ββ} + {nn/γγ} + &</s>
            <s xml:id="echoid-s4978" xml:space="preserve">c.
              <lb/>
            </s>
            <s xml:id="echoid-s4979" xml:space="preserve">unde diſpendium potentiæ abſolutæ erit ad totam hanc potentiam ut
              <lb/>
            {nn/αα} + {nn/ββ} + {nn/γγ} + &</s>
            <s xml:id="echoid-s4980" xml:space="preserve">c. </s>
            <s xml:id="echoid-s4981" xml:space="preserve">ad 1 + {nn/αα} + {nn/ββ} + {nn/γγ} + &</s>
            <s xml:id="echoid-s4982" xml:space="preserve">c.</s>
            <s xml:id="echoid-s4983" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div201" type="section" level="1" n="157">
          <head xml:id="echoid-head204" xml:space="preserve">Scholium.</head>
          <p>
            <s xml:id="echoid-s4984" xml:space="preserve">§. </s>
            <s xml:id="echoid-s4985" xml:space="preserve">16. </s>
            <s xml:id="echoid-s4986" xml:space="preserve">Quoties idea machinæ foramina poſtulat, per quæ aquæ ex
              <lb/>
            uno modiolo in alium transfluant (quod fit in omni antliarum genere; </s>
            <s xml:id="echoid-s4987" xml:space="preserve">velu-
              <lb/>
            ti aſpirantium, aſpirantes gallice aut prementium, foulantes &</s>
            <s xml:id="echoid-s4988" xml:space="preserve">c.) </s>
            <s xml:id="echoid-s4989" xml:space="preserve">ſunt illa
              <lb/>
            foramina quantum id reliquæ circumſtantiæ permittunt, ampliſſima facienda,
              <lb/>
            ita ut amplitudo orificii effluxus parva admodum ſit reſpectu illorum forami-
              <lb/>
            num internorum: </s>
            <s xml:id="echoid-s4990" xml:space="preserve">Ut vero uſus regulæ clarius pateat, exempla conſidera-
              <lb/>
            bimus machinarum aliarum non minus uſitatarum.</s>
            <s xml:id="echoid-s4991" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div202" type="section" level="1" n="158">
          <head xml:id="echoid-head205" xml:space="preserve">Exemplum 1.</head>
          <p>
            <s xml:id="echoid-s4992" xml:space="preserve">Propoſita ſit machina (quam repræſentat Figura 50.) </s>
            <s xml:id="echoid-s4993" xml:space="preserve">in qua emboli C
              <lb/>
              <note position="right" xlink:label="note-0185-01" xlink:href="note-0185-01a" xml:space="preserve">Fig. 50.</note>
            & </s>
            <s xml:id="echoid-s4994" xml:space="preserve">F alternatim deprimuntur, atque per diabetas A B, D E aquæ in modio-
              <lb/>
            lum B E H intruduntur, ut ſic jactus fiat continuus per orificium H. </s>
            <s xml:id="echoid-s4995" xml:space="preserve">Cum
              <lb/>
            hic emboli alternatim agant, alterutrum conſiderabimus quaſi ſolum ſed con-
              <lb/>
            tinue agentem; </s>
            <s xml:id="echoid-s4996" xml:space="preserve">ita vero conſiderandum eſt foramen effluxus H, </s>
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