DelMonte, Guidubaldo, Mechanicorvm Liber

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        <body>
          <chap id="N128CF">
            <p id="id.2.1.91.4.0.0.0" type="main">
              <s id="id.2.1.91.4.1.2.0.a">
                <pb n="45" xlink:href="036/01/103.jpg"/>
              tentiam in A ad pondus eam habere, quam DH ad DA; poten
                <lb/>
              tiamq; in M ad pondus eam, quam Ok ad OM. </s>
              <s id="id.2.1.91.4.1.2.0.b">Quoniam e­
                <lb/>
              nim à centro grauitatis F ducta eſt kF horizonti perpendicularis,
                <lb/>
              ex quocunq; puncto lineæ kF ſuſtineatur pondus, manebit; vt
                <arrow.to.target n="note146"/>
                <lb/>
              nunc ſe habet. </s>
              <s id="id.2.1.91.4.1.3.0">ſi igitur ſuſtineatur in H, manebit vt prius; ſcili­
                <lb/>
              cet ſublato puncto B, & PQ, quæ pondus ſuſtinent, pondus BE
                <lb/>
              manebit, ſicuti ab ipſis ſuſtinebatur. </s>
              <s id="id.2.1.91.4.1.4.0">quare in vecte AB graueſcet
                <lb/>
              in H, & ad vectem eandem habebit conſtitutionem, quam prius;
                <lb/>
              idcirco erit, ac ſi in H eſſet appenſum. </s>
              <s id="id.2.1.91.4.1.5.0">eadem igitur potentia ìdem
                <lb/>
              pondus BE, ſiue in H, ſiue in B, & Q ſuffultum, ſuſtinebit. </s>
              <s id="id.2.1.91.4.1.6.0">Potentia ve
                <arrow.to.target n="note147"/>
                <lb/>
              rò in A ſuſtinens pondus BE vecte AB in H appenſum ad ipſum
                <lb/>
              pondus eandem habet proportionem, quam DH ad DA; eadem
                <lb/>
              ergo potentia in A ſuſtinens pondus BE in punctis BQ ſuſtenta
                <lb/>
              tum ad ipſum pondus erit, vt DH ad DA. </s>
              <s id="id.2.1.91.4.1.6.0.a">Similiter oſtende­
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              tur pondus BE ſi in G ſuſtineatur, manere; ſicuti à punctis BP
                <lb/>
              ſuſtinebatur: & in puncto k, vt à punctis BR. </s>
              <s id="N12FFF">quare potentia in
                <lb/>
              L ſuſtinens pondus BE ad ipſum pondus ita erit, vt NG ad NL.
                <lb/>
              </s>
              <s id="N13004">potentia verò in M ad pondus, vt OK ad OM; hoc eſt vt diſtan
                <lb/>
              tia à fulcimento ad punctum, vbi à centro grauitatis ponderis ho
                <lb/>
              rizonti ducta perpendicularis vectem ſecat, ad diſtantiam à fulci­
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              mento ad potentiam. </s>
              <s id="id.2.1.91.4.1.7.0">quod demonſtrare quoq; oportebat. </s>
            </p>
            <p id="id.2.1.92.1.0.0.0" type="margin">
              <s id="id.2.1.92.1.1.1.0">
                <margin.target id="note146"/>
              1
                <emph type="italics"/>
              Huius de libra.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.92.1.1.2.0">
                <margin.target id="note147"/>
              1
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.93.1.0.0.0" type="main">
              <s id="id.2.1.93.1.1.1.0">Si verò LAM eſſent fulcimenta, & potentiæ in NDO; ſimi
                <lb/>
              liter oſtendetur ita eſſe potentiam in N ad pondus, vt LG ad L
                <lb/>
              N; & potentiam in D, vt AH ad AD; & potentiam in O, vt
                <lb/>
              Mk ad MO. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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