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

Page concordance

< >
Scan Original
101 87
102 88
103 89
104
105 91
106 92
107 93
108 94
109 95
110 96
111 97
112 98
113 99
114 100
115 101
116 102
117 103
118 104
119 105
120 106
121 107
122 108
123 109
124 110
125 111
126 112
127 113
128 114
129 115
130 116
< >
page |< < (97) of 361 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div100" type="section" level="1" n="74">
          <p>
            <s xml:id="echoid-s2731" xml:space="preserve">
              <pb o="97" file="0111" n="111" rhead="SECTIO QUINTA."/>
            hoc autem punctum f illi, de quo modo diximus, abſtrahendo animum à
              <lb/>
            natura tubulorum capillarium, ſubſtitues.</s>
            <s xml:id="echoid-s2732" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2733" xml:space="preserve">Hoc igitur modo recte efficietur affuſio ad normam hypotheſeos no-
              <lb/>
            ſtræ & </s>
            <s xml:id="echoid-s2734" xml:space="preserve">ſic deinceps de hoc motu experimenta ſumi poterunt. </s>
            <s xml:id="echoid-s2735" xml:space="preserve">Poſt quam
              <lb/>
            vero ſic prolixe ſatis rem explicuimus, non opus puto monere vas ſuperius
              <lb/>
            non aliter pertinere ad vas cylindricum inferius, quod ſolum conſideramus,
              <lb/>
            quam ut cylindrus eo, quo fieri debet, modo plenus ſervetur atque ſic per m
              <lb/>
            non intelligendam eſſe amplitudinem vaſis ſuperioris ſed amplitudinem orificii
              <lb/>
            R S, quæ proprie nobis eſt ſuperficies aquæ, cum aquæ ſupra R S tantum de-
              <lb/>
            bitæ affuſioni in cylindrum inferiorem inſerviant.</s>
            <s xml:id="echoid-s2736" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div102" type="section" level="1" n="75">
          <head xml:id="echoid-head100" xml:space="preserve">Scholion 3.</head>
          <p>
            <s xml:id="echoid-s2737" xml:space="preserve">§. </s>
            <s xml:id="echoid-s2738" xml:space="preserve">6. </s>
            <s xml:id="echoid-s2739" xml:space="preserve">Non debeo hic præterire, quod ſic caſus habeatur qui pertinet
              <lb/>
            ad hydraulico-ſtaticam, de qua ſcientia quædam monui in Sect. </s>
            <s xml:id="echoid-s2740" xml:space="preserve">I. </s>
            <s xml:id="echoid-s2741" xml:space="preserve">§. </s>
            <s xml:id="echoid-s2742" xml:space="preserve">8. </s>
            <s xml:id="echoid-s2743" xml:space="preserve">cognoſci-
              <lb/>
            mus nempe nunc quanta velocitate aqua in a præterfluere debeat ut preſſio
              <lb/>
            ejus in latera tubi præciſe nulla ſit. </s>
            <s xml:id="echoid-s2744" xml:space="preserve">Hæc vero dum ſcriberem, jam detexeram
              <lb/>
            leges hydraulico-ſtaticæ generales, & </s>
            <s xml:id="echoid-s2745" xml:space="preserve">non ſine voluptate vidi, quod iſte caſus
              <lb/>
            ceu corollarium ex theoria plane alia deductus ſimilem acquirat ſolutionem ex
              <lb/>
            theoria generali. </s>
            <s xml:id="echoid-s2746" xml:space="preserve">Sic omnia ubique mutuo cohærent nexu, legitimamque
              <lb/>
            principiorum applicationem demonſtrant.</s>
            <s xml:id="echoid-s2747" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div103" type="section" level="1" n="76">
          <head xml:id="echoid-head101" xml:space="preserve">Scholion 4.</head>
          <p>
            <s xml:id="echoid-s2748" xml:space="preserve">§. </s>
            <s xml:id="echoid-s2749" xml:space="preserve">7. </s>
            <s xml:id="echoid-s2750" xml:space="preserve">Sequuntur nunc quædam de alio aquæ affundendo modo. </s>
            <s xml:id="echoid-s2751" xml:space="preserve">Ponatur
              <lb/>
            cylindrus R H N G pro vaſe quocunque, ſitque is conſtanter plenus conſervan-
              <lb/>
            dus affuſione laterali: </s>
            <s xml:id="echoid-s2752" xml:space="preserve">poterit id fieri injiciendo ſufficientem aquæ quantitatem
              <lb/>
            per tubulum m a; </s>
            <s xml:id="echoid-s2753" xml:space="preserve">quamvis autem id non fiat ſine motu, attamen, quia hic
              <lb/>
            horizontalis eſt, moxl
              <unsure/>
            omnis tollitur, & </s>
            <s xml:id="echoid-s2754" xml:space="preserve">per ſe neque promovet fluxum per
              <lb/>
            cylindrum neque eundem retardat; </s>
            <s xml:id="echoid-s2755" xml:space="preserve">ſed eſt alius inſuper modus, quem ſub-
              <lb/>
            ducto recte calculo eodem recidere intelligimus: </s>
            <s xml:id="echoid-s2756" xml:space="preserve">nempe ſi vas E F P Q infini-
              <lb/>
            te amplum cenſemus, & </s>
            <s xml:id="echoid-s2757" xml:space="preserve">ejus fundum aqua continue obtectum intelligimus,
              <lb/>
            ſed ita, ut aquæ altitudo in vaſe ſuperiori ſit pro infinite parva habenda; </s>
            <s xml:id="echoid-s2758" xml:space="preserve">ſubmi-
              <lb/>
            niſtrabit vas ſuperius aquam tubo ſibi annexo, neque alius inde motus orietur,
              <lb/>
            quam ab affuſione laterali, ſi modo orificium R S ſemper obtectum maneat;
              <lb/>
            </s>
            <s xml:id="echoid-s2759" xml:space="preserve">facile autem fit ut ibi cataracta quædam formetur, ſi orificium L M amplum,
              <lb/>
            tubusque R S N H longus ſit. </s>
            <s xml:id="echoid-s2760" xml:space="preserve">Quod hic alter modus eundem cum priori </s>
          </p>
        </div>
      </text>
    </echo>