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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="051/01/080.jpg" pagenum="49"/>
            <p type="main">
              <s>Tertium eſt, omninò
                <expan abbr="neceſſariũ">neceſſarium</expan>
              eſſe, vt tubus FG longi­
                <lb/>
              or ſit quam tubus AB, quia, vt diximus Protheoria I. §. VI. & di­
                <lb/>
              cemus iterum infrà Protheoria IV. cap. 2. Propoſit. 14. hîc et­
                <lb/>
              iam, vt vbiq, in hydraulicis, perpendiculis certatur, non verò
                <expan abbr="a-quarũ">a­
                  <lb/>
                quarum</expan>
              copiâ. </s>
              <s>
                <expan abbr="Perpendiculũ|autẽ">Perpendiculun|autem</expan>
              tubi FG computatur ab F
                <expan abbr="vſq;">vſque</expan>
              ad </s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg108"/>
                <lb/>
              ſupremam
                <expan abbr="ſuperficiẽ">ſuperficiem</expan>
              aquæ deſcendentis & quieſcentis in vaſe G. </s>
              <s>
                <lb/>
              Quò verò longius fuerit perpendiculum FG ſupra perpendicu­
                <lb/>
              lum AB eò altiùs ſalit aqua ex oſculo B. </s>
              <s>Quare cùm in prin­
                <lb/>
              cipio, quando incipit deſcendere aqua intra vas G, longius ſit
                <lb/>
              perpendiculum FG, quàm poſtea (repleto paulatim vaſe G)
                <lb/>
              & id
                <expan abbr="ſẽper">ſemper</expan>
              magis ac magis minuatur; conſequens eſt, vtin prin­
                <lb/>
              cipio altiùs ſaliat aqua ex B, quàm poſt principium, & vt ſem­
                <lb/>
              per minùs & minùs altè exſiliat. </s>
              <s>Vide etiam quæ dicimus in­
                <lb/>
              frà Parte 2. Claſse I. cap. 2. Machina I. Annot. 2. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg108"/>
                <emph type="italics"/>
              Perpendi­
                <lb/>
              culis, non a­
                <lb/>
              qudrum co­
                <lb/>
              piâ certatur
                <lb/>
              in hydrau­
                <lb/>
              licis.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Quartum eſt, Non ſolùm ſervandam eſſe proportionem
                <lb/>
              quoad longitudinem inter tubos AB, & GF, ſed etiam quoad
                <lb/>
              capacitatem, nè ſcilicet AB laxior ſit quàm GF; alioquin gra­
                <lb/>
              vior erit aqua intra ipſum, quàm vt elevari poſſit ab aëre modi­
                <lb/>
              co intra vas A pulſo à modica aqua cadente intra vas G. </s>
              <s>Si
                <lb/>
              verò FG tubus laxior eſſet quàm AB, nimis citò repleretur
                <lb/>
              vas G, & antequam tota aqua vaſis A expelleretur per AB. </s>
            </p>
            <p type="main">
              <s>Quintum eſt, Nihil referre quantæ ſit altitudinis tubus HD,
                <lb/>
              per quem aër defertur, quia nihil confert ad perpendiculum. </s>
              <s>Pro­
                <lb/>
              curandum tamen eſt, nè ſit nimis laxus, aliàs multùm aëris intra
                <lb/>
              ipſum abſorberetur, qui alioquin expelli deberet intra vas A. </s>
            </p>
            <p type="main">
              <s>Sextum eſt, prædictum artificium elevandi aquam vi ex­
                <lb/>
              pulſiva propter corporum impenetra bilitatem, eſſe typum &
                <lb/>
              exemplar omnium Machinarum Hydro-pnevmaticarum præ­
                <lb/>
              dicta virtute animatarum; ac proinde ſemperante oculos
                <lb/>
              in ſimilibus Machinis fabricandis eſſe habendum,
                <lb/>
              vt in principio dicebam. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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