DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N13F6F">
            <pb xlink:href="036/01/180.jpg"/>
            <p id="id.2.1.167.11.0.0.0" type="main">
              <s id="id.2.1.167.11.1.1.0">Sit trochlea habens orbiculum, cuius
                <lb/>
              centrum A; & ſit pondus B alligatum fu
                <lb/>
              ni CDEFG, qui circa orbiculum ſit re­
                <lb/>
              uolutus, ac tandem religatus in G: ſitq;
                <lb/>
              potentia in H ſuſtinens pondus. </s>
              <s id="id.2.1.167.11.1.2.0">dico po
                <lb/>
              tentiam in H duplam eſſe ponderis B. </s>
              <s id="N150B6">du
                <lb/>
              catur DF per
                <expan abbr="centrũ">centrum</expan>
              A horizonti æquidi
                <lb/>
              ſtans. </s>
              <s id="id.2.1.167.11.1.3.0">
                <expan abbr="quoniã">quoniam</expan>
              igitur potentia in H ſuſtinet
                <lb/>
                <expan abbr="trochleã">trochleam</expan>
              , quæ ſuſtinet
                <expan abbr="orbiculũ">orbiculum</expan>
              in eius
                <expan abbr="cẽtro">centro</expan>
                <lb/>
              A, qui pondus ſuſtinet; erit potentia ſuſti
                <lb/>
              nens
                <expan abbr="orbiculũ">orbiculum</expan>
              , ac ſi in A
                <expan abbr="cõſtituta">conſtituta</expan>
              eſſet; ipſa
                <lb/>
              ergo in A exiſtente, pondere verò in D
                <lb/>
              appenſo, funiq; CD religato; erit DF
                <lb/>
              tanquam vectis, cuius fulcimentum erit
                <lb/>
              F, pondus in D, & potentia in A. </s>
              <s id="id.2.1.167.11.1.3.0.a">po­
                <lb/>
                <arrow.to.target n="note253"/>
              tentia verò ad pondus eſt, vt DF ad
                <lb/>
              ad FA, & DF dupla eſt ipſius FA; Po­
                <lb/>
                <figure id="id.036.01.180.1.jpg" place="text" xlink:href="036/01/180/1.jpg" number="167"/>
                <lb/>
              tentia igitur in A, ſiue in H, quod idem eſt, ponderis B dupla erit. </s>
              <lb/>
              <s id="id.2.1.167.11.1.4.0">quod demonſtrare oportebat. </s>
            </p>
            <p id="id.2.1.168.1.0.0.0" type="margin">
              <s id="id.2.1.168.1.1.1.0">
                <margin.target id="note253"/>
              3
                <emph type="italics"/>
              Huius. de vecte.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.169.1.0.0.0" type="main">
              <s id="id.2.1.169.1.1.1.0">Præterea conſiderandum occurrit, cùm hæc omnia maneant,
                <lb/>
              idem eſſe vnico exiſtente fune CD EFG hoc modo orbiculo
                <expan abbr="cicum">circum</expan>
                <lb/>
              uoluto, ac ſi duo eſſent funes CD FG in vecte ſiue libra DF al­
                <lb/>
              ligati. </s>
            </p>
            <p id="id.2.1.169.2.0.0.0" type="head">
              <s id="id.2.1.169.2.1.1.0">ALITER. </s>
            </p>
            <p id="id.2.1.169.3.0.0.0" type="main">
              <s id="id.2.1.169.3.1.1.0">Iiſdem poſitis, ſi in G appenſum eſſet pondus k æquale pon­
                <lb/>
              deri B, pondera B k æqueponderabunt in libra DF, cuius centrum
                <lb/>
              A. </s>
              <s id="id.2.1.169.3.1.1.0.a">potentia verò in H ſuſtinens pondera Bk eſt ipſis ſimul ſum
                <lb/>
              ptis æqualis, & pondera BK ipſius B ſunt dupla; potentia ergo in
                <lb/>
              H ponderis B dupla erit. </s>
              <s id="id.2.1.169.3.1.2.0">& quoniam funis religatus in G nihil a­
                <lb/>
              liud efficit, niſi quòd pondus B ſuſtinet, ne deſcendat; quod idem
                <lb/>
              efficit pondus k in G appenſum: potentia igitur in H ſuſtinens
                <lb/>
              pondus B, fune religato in G, dupla eſt ponderis B. </s>
              <s id="N15138">quod de­
                <lb/>
              monſtrare oportebat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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