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

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    <archimedes>
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        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/028.jpg" pagenum="20"/>
              cantherius, qui nequear ſolus trochlearum
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              multiplicium ope, maius tormentum belli­
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              cum trahere? </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note13"/>
                <emph type="italics"/>
              XII
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              Vnicus e­
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              quus facilè
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              poteſt mo­
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              uere ingens
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                <expan abbr="põdus">pondus</expan>
              , quod
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              vix poſſent
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              plures equi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Gal.
                <emph.end type="italics"/>
              </s>
              <s> Ita planè: ſed obſeruandum in fu­
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              nibus.
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                <arrow.to.target n="note14"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note14"/>
                <emph type="italics"/>
              XIII
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              Quantum
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              funium in
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              hac machi­
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              natione re­
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              quiratur.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Merſ.
                <emph.end type="italics"/>
              </s>
              <s> Ne plura: ſatis animum ad hoc
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              aduerti. </s>
              <s>Monere volebas tantam requiri
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              longitudinem funis, qui ſecundas trochleas
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              D & C circumplectitur, vt vnicus ex D in
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              C ductus æqualis ſit longitudini ſpatij, quod
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              potentia in F totum explicans funem, & pon­
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              dus P ad trochleam A vſque deducens, per­
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              curreret. </s>
              <s>Quarè ſi interuallum trochlearum
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              AB ſit paſſuum decem, potentia ex F per­
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              curreret paſſus 50: funis itaque trochleas D
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              & C ambiens longitudinem habeat neceſſę
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              eſt paſſuum vt minimum 200; trochleą
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              enim D ibi firmanda eſt, quò funis ABF
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              explicatus pertingere poſſit. </s>
              <s>Eademque dę
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              cæteris, ſi plures fuerint trochleæ, ratio eſto. </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Gal.
                <emph.end type="italics"/>
              </s>
              <s> Non falsâ coniecturâ animum meum
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              proſpexiſti. </s>
              <s>Sed vt ad rem ipſam propiùs
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              accedamus obſeruandum eſt, propoſito quo­
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              cunque orbiculorum numero, qui tameņ
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              per 2, vel 4, vel 6, vel alium quemcunque
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              numerum parem diuidi poſsit, longè maius
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              eſſe potentiæ momentum, ſi plures trochleæ
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              pauciorum orbiculorum, quàm ſi pauciores </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>