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="051/01/123.jpg" pagenum="92"/>
              ſuprema verò ſuperficies vaſis B eſt altior, & debet fieri æqua­
                <lb/>
              litas inter ipſas: quæ non fieret, ſi aqua ſiphonis BF, ſeu EF, de­
                <lb/>
              ſcenderet. </s>
            </p>
            <p type="main">
              <s>Ad ſecundam, non effluere aquam per brevius, ſed per lon­
                <lb/>
              gius crus, quia aqua amat continuitatem ſuarum partium, & ap­
                <lb/>
              petit habere ſuperficiem ſupremam omnium partium æqualiter
                <lb/>
              diſtantem à centro Terræ; quorum utrumque obtinet, ſi ef­
                <lb/>
              fluit aqua per longius crus; neutrum, ſi per brevius. </s>
            </p>
            <p type="main">
              <s>Ad Tertiam, ideo non effluere aquam è crure breviore, ſed
                <lb/>
              è longiore, quia aqua cruris brevioris eſt altior, & aqua cruris
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              longioris declivior: curruntautem aquæ continuatæ partes alti­
                <lb/>
                <arrow.to.target n="marg176"/>
                <lb/>
              ores ad decliviores naturaliter, & non hæ ad illas. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg176"/>
                <emph type="italics"/>
              Authoris o­
                <lb/>
              pinio circa
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              aquæ
                <expan abbr="fluxũ">fluxum</expan>
                <lb/>
              è crure ex­
                <lb/>
              terno longio
                <lb/>
              re ſiphonis.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Sed quidquid ſit de hac Heronis ſententia, mihi magis pla­
                <lb/>
              cet ſequens ratio allati phænomeni, quæ univerſalis eſt & in
                <lb/>
              omnibus ſimilibus caſibus locum habet, ut vidimus in præce­
                <lb/>
              dentibus, & iterum videbimus infrà hoc eodem capite Propo­
                <lb/>
              ſit. 13. & 14. </s>
              <s>Pro qua recolendum eſt, quod diximus ſuprà Ca­
                <lb/>
              pite 1. Proprietate IV. ex Archimede, aquæ & humidi cujuſcun­
                <lb/>
              que partem unamquamque premi humido ſupra ipſam exiſtente
                <lb/>
              ad perpendiculum, ſi humidum ſit deſcendens in aliquo, aut cer­
                <lb/>
              tè nullum habeat impedimentum, ut deſcendat. </s>
            </p>
            <p type="main">
              <s>Dico itaque, cauſam hujus rei eſſe eandem cum ea, quæ
                <lb/>
              adſignata fuit in præcedentibus, quia nimirum aqua cruris lon­
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              gioris potentior eſt ad deſcendendum, ſecumque trahendum
                <lb/>
              aquam cruris brevioris, quàm aqua cruris alterius; & hoc ideo,
                <lb/>
              quia aqua premit ac premitur, dum premit ac premitur, ad per­
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              pendiculum, hoc eſt, ſecundùm lineam quæ tranſit per centrum
                <lb/>
              Mundi. </s>
              <s>Cujus ergo aquæ perpendiculum longius eſt, illa ma­
                <lb/>
              gis premit ac vincit, hoc eſt, deſcendit, ſi nihil obſtet deſcen­
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              ſum impediens, ut in noſtro caſu contingit. </s>
              <s>Hîc ergo verum
                <lb/>
              etiam eſt, quòd
                <emph type="italics"/>
              in Hydraulicis pugnatur & vincitur non pondere,
                <lb/>
              aut copi aquarum, ſed perpendiculis,
                <emph.end type="italics"/>
              juxta Axioma hydraulicum,
                <lb/>
              2. quod ſuprà Propoſitione 2, formatum fuit. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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