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

List of thumbnails

< >
51
51 (37) 		52
52 (38)
53
53 (39) 		54
54 (40)
55
55 (41) 		56
56 (42)
57
57 (43) 		58
58 (44)
59
59 (45) 		60
60 (46)
< >
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>
Impressum