DelMonte, Guidubaldo, Mechanicorvm Liber

Table of figures

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[Figure 131]
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    <archimedes>
      <text>
        <body>
          <chap id="N128CF">
            <p id="id.2.1.129.3.0.0.0" type="main">
              <s id="id.2.1.129.3.1.1.0">
                <pb n="59" xlink:href="036/01/131.jpg"/>
              vel pondus intra fulcimentum, & potentiam
                <lb/>
              habente. </s>
            </p>
            <p id="id.2.1.129.4.0.0.0" type="head">
              <s id="id.2.1.129.4.1.1.0">PROPOSITIO XIII. </s>
            </p>
            <p id="N13D65" type="head">
              <s id="id.2.1.129.4.3.1.0">PROBLEMA. </s>
            </p>
            <p id="id.2.1.129.5.0.0.0" type="main">
              <s id="id.2.1.129.5.1.1.0">Quotcunq; datis in vecte ponderibus vbicun­
                <lb/>
              què appenſis, cuius fulcimentum ſit quoq; da­
                <lb/>
              tum, potentiam inuenire, quæ in dato puncto
                <lb/>
              data pondera ſuſtineat.
                <figure id="id.036.01.131.1.jpg" place="text" xlink:href="036/01/131/1.jpg" number="126"/>
              </s>
            </p>
            <p id="id.2.1.129.6.0.0.0" type="main">
              <s id="id.2.1.129.6.1.1.0">Sint data pondera ABC in vecte DE, cuius fulcimentum F,
                <lb/>
              vbicunq; in punctis DGH appenſa: collocandaq; ſit potentia in
                <lb/>
              puncto E. </s>
              <s id="N13D85">potentiam inuenire oportet, quæ in E data pondera
                <lb/>
              ABC vecte DE ſuſtineat. </s>
              <s id="id.2.1.129.6.1.2.0">diuidatur DG in k, ita vt Dk ad KG
                <lb/>
              ſit, vt pondus B ad pondus A; deinde diuidatur kH in L, ita vt kL
                <lb/>
              ad LH, ſit vt pondus C ad pondera BA; atq; vt FE ad FL, ita
                <lb/>
              fiant pondera ABC ſimul ad potentiam, quæ ponatur in E. </s>
              <s id="id.2.1.129.6.1.2.0.a">di­
                <lb/>
              co potentiam in E data pondera ABC in DGH appenſa vecte
                <lb/>
              DE, cuius fulcimentum eſt F, ſuſtinere. </s>
              <s id="id.2.1.129.6.1.3.0">Quoniam enim ſi ponde
                <lb/>
              ra ABC ſimul eſſent in L appenſa, potentia in E data pondera
                <arrow.to.target n="note205"/>
                <lb/>
              in L appenſa ſuſtineret; pondera verò ABC tàm in L ponderant,
                <arrow.to.target n="note206"/>
                <expan abbr="quàm">
                  <lb/>
                quam</expan>
              ſi C in H, & BA ſimul in K eſſent appenſa; & AB in k tàm </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>