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

Table of Notes

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            verticalis gh in tubo inſerto hærentis pariter æqualis {nna - a/nn}: </s>
            <s xml:id="echoid-s7659" xml:space="preserve">neque neceſſe
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            eſt in hoc poſteriori caſu, ut tubulus g m ſit admodum ſtrictus.</s>
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        <div xml:id="echoid-div266" type="section" level="1" n="201">
          <head xml:id="echoid-head258" xml:space="preserve">Scholium.</head>
          <p>
            <s xml:id="echoid-s7661" xml:space="preserve">§. </s>
            <s xml:id="echoid-s7662" xml:space="preserve">8. </s>
            <s xml:id="echoid-s7663" xml:space="preserve">Poterit ergo hæc theoria experimento confirmari facillimo, eo
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            majoris futuro momenti, quod nemo adhuc hujusmodi æquilibria, quorum
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            uſus latiſſime patet, definiverit: </s>
            <s xml:id="echoid-s7664" xml:space="preserve">quod eadem methodo niſus aquarum per ca-
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            nales fluentium generaliſſime obtineri poſſit pro aquæ ductibus utcunque in-
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            clinatis, incurvatis, amplitudinisque variatæ ac velocitate aquarum quali-
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            cunque; </s>
            <s xml:id="echoid-s7665" xml:space="preserve">tum etiam, quod nonſolum hæcce preſſionum, ſed tota inſuper
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            motuum theoria, quam ſupra dedimus, hujusmodi experimentis confirme-
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            tur, quia arguunt, recte à nobis definitas fuiſſe accelerationes aquarum. </s>
            <s xml:id="echoid-s7666" xml:space="preserve">Cu-
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            randum autem eſt in experimento, ut tubus horizontalis ſit interius bene
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            politus, perfecte cylindricus atque horizontalis: </s>
            <s xml:id="echoid-s7667" xml:space="preserve">ſitque ſatis amplus, ut ab
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            adhæſione aquæ ad latera tubi notabile motus decrementum oriri non poſſit:
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            </s>
            <s xml:id="echoid-s7668" xml:space="preserve">vas ipſum ſit ampliſſimum atque continue plenum conſervetur. </s>
            <s xml:id="echoid-s7669" xml:space="preserve">Obſervan-
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            dum quoque eſt, quanta ſit virtus tubulo vitreo g m aquas ſtagnantes elevan-
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            di, quæ virtus omnibus tubis capillaribus aut admodum ſtrictis ineſt: </s>
            <s xml:id="echoid-s7670" xml:space="preserve">hæc
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            enim elevatio ab altitudine g h eſt ſubtrahenda: </s>
            <s xml:id="echoid-s7671" xml:space="preserve">aut potius aſſumendus eſt tu-
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            bus æqualis craſſitiei & </s>
            <s xml:id="echoid-s7672" xml:space="preserve">obturato orificio o, notandum eſt punctum m, tum-
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            que fluxu aquis conceſſo notandum quoque eſt punctum h: </s>
            <s xml:id="echoid-s7673" xml:space="preserve">erit autem ſe-
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            cundum theoriam deſcenſus m h = {1/nn} X a = {1/nn} X E B.</s>
            <s xml:id="echoid-s7674" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7675" xml:space="preserve">Tandem etiam attendendum eſt ad venam aquæ in o effluentis; </s>
            <s xml:id="echoid-s7676" xml:space="preserve">hujus enim
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            contractio etiam facit, ut aqua in tubo horizontali minori transfluat velocita-
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            te, quam {√a/n}. </s>
            <s xml:id="echoid-s7677" xml:space="preserve">De iſta contractione eamque præveniendi modo egi in Sect. </s>
            <s xml:id="echoid-s7678" xml:space="preserve">IV.
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            </s>
            <s xml:id="echoid-s7679" xml:space="preserve">His autem quamvis ita occurri poſſit incommodis, ut error ſenſibilis in ex-
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            perimento ſupereſſe nequeat, tamen ſi majorem adhibere velimus accuratio-
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            nem, experimento indaganda erit quantitas aquæ dato tempore effluentis,
              <lb/>
            quæ cum amplitudine tubi comparata rectiſſime dabit velocitatem aquæ intra
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            tubum fluentis, quam in calculo poſuimus = {√a/n}: </s>
            <s xml:id="echoid-s7680" xml:space="preserve">Si vero experimento mi-
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            nor inventa fuerit, talis nempe, quæ debeatur altitudini b, tunc erit proxi-
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            me preſſio aquæ præterfluentis = a - b.</s>
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