Schott, Gaspar, Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet. , 1657

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="051/01/108.jpg" pagenum="77"/>
              ſolet. </s>
              <s>Sit enim dolium DC, exinanitum vſque ad lineam FG;
                <lb/>
              quod tu ignores: ſcies id, ſi tubum oblongum AB incurves in­
                <lb/>
              feriùs iuxta B, & doleo iuxta C inſeras epiſtomij loco; liquor
                <lb/>
              enim dolij effluens aſcendet per tubum, donec perveniat
                <expan abbr="vſq;">vſque</expan>
              ad
                <lb/>
              E, & æquetur ſupremæ ſuperficiei liquoris in dolio contenti. </s>
            </p>
            <figure id="id.051.01.108.1.jpg" xlink:href="051/01/108/1.jpg" number="30"/>
            <p type="main">
              <s>
                <emph type="center"/>
              Corollarium V.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg159"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg159"/>
                <emph type="italics"/>
              Dolium im­
                <lb/>
              plere per e­
                <lb/>
              piſtomium
                <lb/>
              ope ſiphonis.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>COlligitur quintò, Quomodo repleri poſſit prædictum doli­
                <lb/>
              um per foramen C epiſtomij. </s>
              <s>Si enim tubum AB incur­
                <lb/>
              vatum inſeras dolio iuxta C, & ſuperiùs iuxta A infundas li­
                <lb/>
              quorem; aſcendet is in dolio, donec æquetur ſummitati tubi,
                <lb/>
              aut donec dolium ſit omnino repletum, ſi tubus altior eſt dolio. </s>
              <s>
                <lb/>
              Bene tamen Schvventerus monet in ſuis Recreationibus Mathe­
                <lb/>
              maticis parte 13. quæſt. 3. debere in ſummitate dolij foramen a­
                <lb/>
              periri, per quod aër elabatur, impediturus alioquin liquoris in­
                <lb/>
              fuſionem, ſi non poſſit erumpere per foramen C & tubum BA. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Annotatio.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              In Siphone erecto plurium quàm duorum crurium eadem con­
                <lb/>
              tingunt, quæ in ſiphone duorum crurium, vt conſideranti patet.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio III.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Siphonis inverſi proprietates aſſignare.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg160"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg160"/>
                <emph type="italics"/>
              Siphonis in­
                <lb/>
              verſi pro­
                <lb/>
              prietates.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>PLurimas proprietates, easque plerumque miras habet Siphon­
                <lb/>
              everſus, tam æqualium quoad longitudinem & capacitatem
                <lb/>
              crurium, quàm inæqualium. </s>
              <s>Nos præcipuas referemus. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Prima Proprietas.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>SI crura ſiphonis inverſi inæqualia ſunt quoad longitudinem,
                <lb/>
              & totus ſiphon repleatur aquâ, & invertatur; effluit ea tota per
                <lb/>
              crus longius, licet ſit minus capacitate. </s>
              <s>Eſto Siphon inverſus
                <lb/>
              ABC inæqualium crurium, aquâ plenus, & crus AB longius
                <lb/>
              ſit quàm crus CB, hoc eſt, extremæ aquarum ſuperficies A & C
                <lb/>
              inæqualiter diſtent à Centro Mundi, ſcilicet AB minùs, CB
                <lb/>
              plùs; dico, totam aquam effluere per crus AB, licet capacitate
                <lb/>
              ſit minus quàm CB. </s>
              <s>Ratio eſt, quia cùm aquæ AB perpendi­
                <lb/>
              culum, ſit longius, quàm aquæ CB perpendiculum, ma­
                <lb/>
              gis premitur aqua apud A, quàm apud C, per corollarlum I. </s>
              <s> </s>
            </p>
          </chap>
        </body>
      </text>
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