Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="018/01/017.jpg" pagenum="9"/>
            <p type="margin">
              <s>
                <margin.target id="note4"/>
                <emph type="italics"/>
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              IV
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              Difficulta­
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              tes in heli­
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              cis constru­
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              ctione &
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              uſu.
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                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Aſſumantur quinque cylindri ABCDE
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                <arrow.to.target n="note5"/>
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              craſſitudine inæquali (quo enim magis à
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              pondere diſtant, graciliores eſſe poſſunt)
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              ſingulisque rota canaliculum in ambitu ex­
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              cauatum habens adijciatur, cuius d
                <emph type="italics"/>
              i
                <emph.end type="italics"/>
              ameter
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              diametri cylindri ſibi cohærentis quintupla
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              ſit. </s>
              <s>Demùm cylindro F addatur manubrium
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              OP eandem Rationem quintuplam habens
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              ad illius ſemidiametrum. </s>
              <s>Hi verò cylindri
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              paralleli in ſuo conceptaculo facilè verſatiles
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              ita diſponantur, vt funis ſingulas rotas am­
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              biens ad ſuperiorem cylindrum ductus (ſi
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              fieri id commode poſſit) congruat lineæ,
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              quæ horizonti ad perpendiculum inſiſtit. </s>
              <s>
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              Hìc pariter conſtat Rationem motûs poten­
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              tiæ P ad motum ponderis M ex rationibus
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              intermedijs, nimirum ſex quintuplis, com­
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              poni. </s>
              <s>Quarè & hìc motus potentiæ ad pon­
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              deris motum eſt vt 15625 ad 1, vt ſuperiùs,
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              Merſenne, ratiocinabaris. </s>
              <s>Maiore tameņ
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              fortaſsè compendio, quod hìc rotæ cylindros
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              non atterant, nec vllum immineat pericu­
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              lum, ne ex mutuâ illâ collabellatione den­
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              tes aliquando excutiantur: quàm ægrè au­
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              tem excuſſi dentis detrimento occurras, pa­
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              làm eſt; cum tamen diſruptum funem ite­
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              rum facilè connectas. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note5"/>
                <emph type="italics"/>
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              V
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              Axes in Pe­
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              ritrochio
                <expan abbr="Cõ">Com</expan>
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              poſiti faci­
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              liùs conſtru
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              untur, &
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              idem præſta
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              re poſsunt.
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                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Vbi licet obiter animum aduertere ad </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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