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

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        <div xml:id="echoid-div67" type="section" level="1" n="48">
          <pb o="54" file="0068" n="68" rhead="HYDRODYNAMICÆ."/>
        </div>
        <div xml:id="echoid-div69" type="section" level="1" n="49">
          <head xml:id="echoid-head61" style="it" xml:space="preserve">De Velocitatibus maximis fluidorum per foramina
            <lb/>
          valde ampla effluentium.</head>
          <head xml:id="echoid-head62" xml:space="preserve">Ad §. 16. & 20.</head>
          <head xml:id="echoid-head63" xml:space="preserve">Experimentum Primum.</head>
          <p>
            <s xml:id="echoid-s1392" xml:space="preserve">TUbum Cylindricum F A (Fig. </s>
            <s xml:id="echoid-s1393" xml:space="preserve">22.) </s>
            <s xml:id="echoid-s1394" xml:space="preserve">longitudinis quatuor pollicum
              <lb/>
              <note position="left" xlink:label="note-0068-01" xlink:href="note-0068-01a" xml:space="preserve">Fig. 22.</note>
            oblique ad horizontem poſui, in eoque ſitu firmavi, erat autem
              <lb/>
            amplitudo tubi ad amplitudinem luminis in A ut 2 ad 1. </s>
            <s xml:id="echoid-s1395" xml:space="preserve">& </s>
            <s xml:id="echoid-s1396" xml:space="preserve">quidem dia-
              <lb/>
            meter tubi præter propter ſeptem lineas exæquabat; </s>
            <s xml:id="echoid-s1397" xml:space="preserve">Dein menſuris acceptis
              <lb/>
            in particulis æqualibus linearum F E, A B & </s>
            <s xml:id="echoid-s1398" xml:space="preserve">B D (quarum lex ex ipſa figura per
              <lb/>
            ſe patet) illas inveni 81. </s>
            <s xml:id="echoid-s1399" xml:space="preserve">619. </s>
            <s xml:id="echoid-s1400" xml:space="preserve">& </s>
            <s xml:id="echoid-s1401" xml:space="preserve">740.</s>
            <s xml:id="echoid-s1402" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1403" xml:space="preserve">His ita præparatis, tubum aquâ replevi, digito interim obturato ori-
              <lb/>
            ficio A, eoque confeſtim remoto aquæ breviſſimo tempuſculo effluxere om-
              <lb/>
            nes: </s>
            <s xml:id="echoid-s1404" xml:space="preserve">obſervare tamen potui, primas & </s>
            <s xml:id="echoid-s1405" xml:space="preserve">ultimas propius ad verticalem AB,
              <lb/>
            quam medias cecidiſſe; </s>
            <s xml:id="echoid-s1406" xml:space="preserve">guttas autem longiſſime projectas incidiſſe in locum
              <lb/>
            C invenique poſt ſæpius repetitum experimentum BC particularum, qui-
              <lb/>
            bus antea uſus fueram, 235.</s>
            <s xml:id="echoid-s1407" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1408" xml:space="preserve">Jam vero ſi per præmiſſum lemma quæratur altitudo E G, ad quam guttæ
              <lb/>
            maxima velocitate ejectæ aſcendere poſſint, reperitur E G = 56. </s>
            <s xml:id="echoid-s1409" xml:space="preserve">part. </s>
            <s xml:id="echoid-s1410" xml:space="preserve">de-
              <lb/>
            beret autem vi §. </s>
            <s xml:id="echoid-s1411" xml:space="preserve">§. </s>
            <s xml:id="echoid-s1412" xml:space="preserve">16. </s>
            <s xml:id="echoid-s1413" xml:space="preserve">& </s>
            <s xml:id="echoid-s1414" xml:space="preserve">20. </s>
            <s xml:id="echoid-s1415" xml:space="preserve">eſſe.</s>
            <s xml:id="echoid-s1416" xml:space="preserve">
              <unsure/>
            = 62. </s>
            <s xml:id="echoid-s1417" xml:space="preserve">niſi attritus aquæ ejusquæ adhæ-
              <lb/>
            ſio ad latera tubi impedimentum motui afferret: </s>
            <s xml:id="echoid-s1418" xml:space="preserve">majorem conſenſum non
              <lb/>
            expectavi.</s>
            <s xml:id="echoid-s1419" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1420" xml:space="preserve">II. </s>
            <s xml:id="echoid-s1421" xml:space="preserve">Poſitis quæ prius, diminuto tantum ad dimidium foramine A,
              <lb/>
            ita ut amplitudo tubi eſſet quadrupla amplitudinis ad lumen pertinentis, ob-
              <lb/>
            ſervavi B C = 252; </s>
            <s xml:id="echoid-s1422" xml:space="preserve">Hinc deducitur E G = 68 per experimentum; </s>
            <s xml:id="echoid-s1423" xml:space="preserve">per
              <lb/>
            theoriam autem debuiſſet eſſe = 70; </s>
            <s xml:id="echoid-s1424" xml:space="preserve">numeri hi minus differunt quam
              <lb/>
            præcedentes, quia hîc multo minus fuit attritus impedimentum ob diminu-
              <lb/>
            tam velocitatem internæ aquæ. </s>
            <s xml:id="echoid-s1425" xml:space="preserve">Utrumque autem experimentum egregie
              <lb/>
            profecto theoriam confirmat.</s>
            <s xml:id="echoid-s1426" xml:space="preserve"/>
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