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="051/01/114.jpg" pagenum="83"/>
              randi vim, cùm non obſtante illa diviſione revera crus DK lon­
                <lb/>
              gius ſit, quàm crus AK. </s>
              <s>Reſpondeo, quamvis DK longius ſit
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              quàm crus AK, eius tamen activitati ſeu preſſioni deorſum non
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              ſolùm reſiſtit crus AK, ſed etiam crus DB; illud, nè aqua KA
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              pellatur ſurſum; hoc, nèaqua AD trahatur ſurſum: vnde per­
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              pendiculum DK habet duplicem reſiſtentiam, ſcilicet DB, & AK;
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              quæ duæ reſiſtentiæ æquant eius activitatem, & conſequenter
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              impediunt motum aquæ DK, eiusque fluxum, ſive per os A, ſi­
                <lb/>
              ve per os B. </s>
              <s>Diviſio autem intellectualis cruris DK in puncto
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              C fit ſolùm ad oſten dendum quomodo duplex prædicta
                <expan abbr="reſiſtẽ-tia">reſiſten­
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                tia</expan>
              æquivaleat activitati totius cruris DK. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Tertia proprietas.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>SI crus DI truncetur in F, vt os F ſit inferius quàm os A;
                <lb/>
              idem qui ſuprà putat non effluere aquam ex F, ſed ex A, du­
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              rareque ut antea fluxum, donec ſuperficies F pervenerit vſque
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              ad C. </s>
              <s>Rationem eandem dat cum illa, quam adſignavit paulò
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              antè. </s>
            </p>
            <p type="main">
              <s>Eâdem tamen experientiä conſtat, aquam in hoc caſu ef­
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              fluere ex F, donec aqua cruris AK deſcenderit in H ad pa­
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              rem cum F altitudinem. </s>
              <s>Ratio eſt, quia humidum in F ma­
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              gis premitur, quàm in C, id eſt, quàm in A, ob longius per­
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              pendiculum DF, quàm DC; quare humidum in F deſcen­
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              det,
                <expan abbr="trahetq́ue">trahetque</expan>
              humidum reliquum, nè detur vacuum. </s>
              <s>Nec re­
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              fert, quòd dividatur intellectu crus DK in puncto C, & compa­
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              retur crus DF cum parte DC ſolùm, ac ſi & Natura ibidem
                <lb/>
              diviſiſſet crus DK; hoc enim ſolùm fit ob rationem paulò antè
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              allatam. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Quarta Proprietas.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>SI crus DI truncetur in E, vt os E habeat eandem altitudinem
                <lb/>
              cum puncto K; ille idem qui ſuprà exiſtimat nihil effluere,
                <expan abbr="neq;">neque</expan>
                <lb/>
              ex E, neque ex A. </s>
              <s>Ratio eius eſt, quia perpendicula DE, DK ſunt
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              æqualia; ergo aqua apud E non plùs premitur quàm apud K, nec
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              apud K plùs quàm apud E; ergo neque ex E, neque ex A
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              effluere poteſt aqua, nè æqualis potentia dicatur ſuperaſſe æ­
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              qualem. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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