DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N128CF">
            <p id="id.2.1.99.1.0.0.0" type="main">
              <s id="N13474">
                <pb xlink:href="036/01/114.jpg"/>
                <figure id="id.036.01.114.1.jpg" place="text" xlink:href="036/01/114/1.jpg" number="105"/>
              </s>
            </p>
            <p id="id.2.1.99.2.0.0.0" type="main">
              <s id="id.2.1.99.2.1.1.0">Sit deinde vectis AB horizonti æquidiſtans, cuius fulcimen­
                <lb/>
              tum B; & centrum grauitatis H ponderis CD ſit ſupra vectem;
                <lb/>
              moueaturq; vectis in BE, ponduſq; in FG. </s>
              <s id="id.2.1.99.2.1.1.0.a">dico minorem po­
                <lb/>
              tentiam in E ſuſtinere pondus FG vecte EB, quàm potentia in
                <lb/>
              A pondus CD vecte AB. </s>
              <s id="id.2.1.99.2.1.1.0.b">ſit k centrum grauitatis ponderis FG,
                <lb/>
              & à centris grauitatum Hk ipſorum horizontibus perpendicu­
                <lb/>
                <arrow.to.target n="note162"/>
              lares ducantur HL kM. </s>
              <s id="id.2.1.99.2.1.1.0.c">Quoniam enim (ex ſupra demonſtratis)
                <lb/>
                <arrow.to.target n="note163"/>
              BM minor eſt BL, & BE ipſi BA æqualis; minorem habebit
                <lb/>
                <arrow.to.target n="note164"/>
              proportionem BM ad BE, quàm BL ad BA. </s>
              <s id="N134A6">ſed vt BM ad
                <lb/>
              BE, ita potentia in E ſuſtinens pondus FG ad ipſum pondus; &
                <lb/>
              vt BL ad BA, ita potentia in A ad pondus CD; minorem
                <lb/>
              habebit proportionem potentia in E ad pondus FG, quàm poten
                <lb/>
                <arrow.to.target n="note165"/>
              tia in A ad pondus CD. </s>
              <s id="id.2.1.99.2.1.1.0.d">Ergo potentia in E minor erit poten­
                <lb/>
              tia in A. </s>
              <s id="N134B8">ſimiliter oſtendetur, quò magis pondus eleuabitur, ſem­
                <lb/>
              per minorem potentiam pondus ſuſtinere. </s>
              <s id="id.2.1.99.2.1.2.0">Sit autem vectis in
                <lb/>
              BO, & pondus in PQ, cuius centrum grauitatis ſit R. </s>
              <s id="id.2.1.99.2.1.2.0.a">dico maio
                <lb/>
              rem potentiam in O requiri ad ſuſtinendum pondus PQ vecte BO,
                <lb/>
              quàm pondus CD vecte BA. </s>
              <s id="id.2.1.99.2.1.2.0.b">ducatur à puncto R horizonti per­
                <lb/>
                <arrow.to.target n="note166"/>
              pendicularis RS. </s>
              <s id="id.2.1.99.2.1.2.0.c">& quoniam BS maior eſt BL, habebit BS ad
                <lb/>
              BO maiorem proportionem, quàm BL ad BA; quare maior erit
                <lb/>
              potentia in O ſuſtinens pondus PQ, quàm potentia in A ſuſti
                <lb/>
              nens pondus CD. </s>
              <s id="id.2.1.99.2.1.2.0.d">& hoc modo oſtendetur' quò vectis BO ma
                <lb/>
              gis à vecte AB deorſum tendens diſtabit, ſemper maiorem ponderi </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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