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

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            mmθθ + μμtt ad m m θ θ, ex qua ratione artifices judicabunt de firmitate
              <lb/>
            laterum, quæ pro utroque requiritur.</s>
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        <div xml:id="echoid-div207" type="section" level="1" n="161">
          <head xml:id="echoid-head208" xml:space="preserve">Regula 8.</head>
          <p>
            <s xml:id="echoid-s5090" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5091" xml:space="preserve">17. </s>
            <s xml:id="echoid-s5092" xml:space="preserve">Quando embolus in antliis retrahitur & </s>
            <s xml:id="echoid-s5093" xml:space="preserve">aqua in modiolum in-
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            fluit, non ſolum proprio pondere ſolicitata ſed maximam partem ab embo-
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            lo attracta, tunc omnis potentia abſoluta in hanc attractionem impenſa caſu
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            ſupervenit, quia antlia, ſub aquis, ut fit, poſita, ſua ſponte impleretur ſi ſuf-
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            ficiens huic impletioni tempus concederetur; </s>
            <s xml:id="echoid-s5094" xml:space="preserve">nec adeoque attractio illa ita
              <lb/>
            pertinet ad ejiciendas aquas certa cum velocitate, quin tota vitari poſſit, hoc-
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            que nomine labor in illam impenſus mihi inutilis dicitur.</s>
            <s xml:id="echoid-s5095" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s5096" xml:space="preserve">Quia vero influxus aquarum partim proprio pondere fit, partim
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            etiam elevatione emboli, non poteſt diſpendium potentiæ abſolutæ ab effectu
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            æſtimari: </s>
            <s xml:id="echoid-s5097" xml:space="preserve">Quin potius calculus ita eſt ponendus, ut poſitis potentia embo-
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            lum in certo ſitu elevante = π, velocitate emboli = v, tempuſculoque
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            quantitatibus π & </s>
            <s xml:id="echoid-s5098" xml:space="preserve">v reſpondente d t, dicatur omnis potentia abſoluta in eleva-
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            tionem emboli impenſa = ſ π v d t vel = ſ π d x, ſi per d x intelligatur ele-
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            mentum ſpatioli tempuſculo d t percurſi. </s>
            <s xml:id="echoid-s5099" xml:space="preserve">Sequitur inde, ſi conſtantis mag-
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            nitudinis ſit, uti fere eſt conatus, quo embolus elevatur, fore potentiam abſo-
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            lutam æqualem potentiæ moventi ductæ in ſpatium percurſum: </s>
            <s xml:id="echoid-s5100" xml:space="preserve">ſimile autem ra-
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            tiocinium cum valeat etiam pro depreſſione emboli ſimulque tantum eleve-
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            tur embolus quantum deprimitur, apparet potenti{as} abſolut{as}, quæ in attrahen-
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            das expellendaſque alternatim aquas impenduntur, proxime eſſe ut potentiæ
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            utrobique moventes; </s>
            <s xml:id="echoid-s5101" xml:space="preserve">unde diſpendium oritur quod eſt = {π/π + p} X P, factis ſci-
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            licet potentia elevante = π, potentia deprimente = p & </s>
            <s xml:id="echoid-s5102" xml:space="preserve">potentia abſoluta in
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            elevationem depreſſionemque emboli impenſa = P.</s>
            <s xml:id="echoid-s5103" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5104" xml:space="preserve">Poteſt aliter diſpendium potentiœ abſolutæ proxime æſtimari ex eo, quod
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            omnis aſcenſ{us} potentialis aquæ in antliam influentis inutiliter generatus cenſeri
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            debeat. </s>
            <s xml:id="echoid-s5105" xml:space="preserve">Sed ſi iiſdem temporibus, ſive eadem velocitate embolus ſurſum de-
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            orſumque movetur, erit velocitas quâ aquæ admittuntur ad velocitatem quâ
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            ejiciuntur reciproce ut foramina reſpondentia, ipſique aſcenſus potentiales utro-
              <lb/>
            bique erunt in ratione quadrata inverſa foraminum reſpondentium. </s>
            <s xml:id="echoid-s5106" xml:space="preserve">Si </s>
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