DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N128CF">
            <pb n="57" xlink:href="036/01/127.jpg"/>
            <p id="id.2.1.119.1.0.0.0" type="main">
              <s id="id.2.1.119.1.2.1.0">Sit rurſus vectis
                <lb/>
              AB, cuius fulcimen
                <lb/>
                <expan abbr="tũ">tum</expan>
              A; & pondus C in
                <lb/>
              B ſit appenſum; ſitq;
                <lb/>
              potentia in D: &
                <lb/>
              DA ad AB maio­
                <lb/>
              rem habeat propor­
                <lb/>
              tionem, quàm pon­
                <lb/>
                <figure id="id.036.01.127.1.jpg" place="text" xlink:href="036/01/127/1.jpg" number="119"/>
                <lb/>
              dus C ad potentiam, quæ eſt in D. </s>
              <s id="id.2.1.119.1.2.1.0.a">dico pondus C à potentia
                <lb/>
              in D moueri. </s>
              <s id="id.2.1.119.1.2.2.0">fiat vt DA ad AB, ita pondus E ad potentiam in
                <lb/>
              D; & ſit pondus E ex puncto B ſuſpenſum: potentia in D pondus
                <lb/>
              E ſuſtinebit. </s>
              <s id="id.2.1.119.1.2.3.0">ſed DA ad AB maiorem habet proportionem,
                <lb/>
              quàm C ad potentiam in D; & vt DA ad AB, ita eſt pondus E
                <lb/>
              ad potentiam in D; pondus igitur E ad potentiam, quæ eſt in D,
                <lb/>
              maiorem habebit proportionem, quàm pondus C ad eandem po
                <lb/>
              tentiam. </s>
              <s id="id.2.1.119.1.2.4.0">quare pondus E maius eſt pondere C. </s>
              <s id="N13ABA">& cùm poten­
                <lb/>
              tia in D pondus E ſuſtineat, potentia igitur in D pondus C in B
                <lb/>
              appenſum vecte AB, cuius fulcimentum eſt A, mouebit. </s>
              <s id="id.2.1.119.1.2.5.0">quod
                <lb/>
              demonſtrare oportebat. </s>
            </p>
            <p id="id.2.1.119.2.0.0.0" type="head">
              <s id="id.2.1.119.2.1.1.0">ALITER. </s>
            </p>
            <p id="id.2.1.119.3.0.0.0" type="main">
              <s id="id.2.1.119.3.1.1.0">Sit vectis AB, &
                <lb/>
              pondus C in A ap­
                <lb/>
              penſum & poten­
                <lb/>
              tia in B; ſit〈qué〉 fulci­
                <lb/>
              mentum D: & DB
                <lb/>
                <figure id="id.036.01.127.2.jpg" place="text" xlink:href="036/01/127/2.jpg" number="120"/>
                <lb/>
              ad DA maiorem habeat proportionem, quàm pondus C ad po
                <lb/>
              tentiam in B. </s>
              <s id="id.2.1.119.3.1.1.0.a">dico pondus C à potentia in B moueri. </s>
              <s id="id.2.1.119.3.1.2.0">fiat BE ad
                <lb/>
              EA, vt pondus C ad potentiam, erit punctum E inter BD. </s>
              <s id="id.2.1.119.3.1.2.0.a">opor
                <lb/>
              tet enim BE ad EA minorem habere proportionem, quàm DB
                <lb/>
              ad DA, & ideo BE minor erit BD. </s>
              <s id="id.2.1.119.3.1.2.0.b">& quoniam potentia in B ſu
                <arrow.to.target n="note185"/>
                <lb/>
              ſtinet pondus C in A appenſum uecte AB, cuius
                <expan abbr="fulcimentũ">fulcimentum</expan>
              E; minor
                <lb/>
              igitur potentia in B, quàm data, idem pondus ſuſtinebit fulcimen
                <lb/>
              to D. </s>
              <s id="N13B02">data ergo potentia in B pondus C mouebit uecte AB, cuius
                <lb/>
              fulcimentum eſt D. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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