DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N13F6F">
            <pb n="91" xlink:href="036/01/195.jpg"/>
            <p id="id.2.1.183.1.0.0.0" type="main">
              <s id="id.2.1.183.1.2.1.0">Si autem in L ſit potentia mouens pondus. </s>
              <s id="id.2.1.183.1.2.2.0">
                <lb/>
              Dico ſpatium potentiæ ſpatii ponderis ſeſquial­
                <lb/>
              terum eſſe. </s>
            </p>
            <p id="id.2.1.183.2.0.0.0" type="main">
              <s id="id.2.1.183.2.1.1.0">Iiſdem poſitis, perueniat orbi­
                <lb/>
              culus ABC vſq; ad MNO, &
                <lb/>
              DEF ad PQR; & H in S; &
                <lb/>
              pondus G vſq; ad T. </s>
              <s id="id.2.1.183.2.1.1.0.a">Et quoniam
                <lb/>
              funis HABCDEFK eſt æqualis
                <lb/>
              funi SMNOPQRk, cùm ſit
                <lb/>
              idem funis; & funes circa ſemicir
                <lb/>
              culos ABC MNO ſunt inter ſe
                <lb/>
              ſe æquales; qui verò ſunt circa
                <lb/>
              DEF PQR ſimiliter inter ſe æ­
                <lb/>
              quales; Demptis igitur AS CP
                <lb/>
              RK communibus, erunt duo CO
                <lb/>
              MA tribus DP HS FR æqua­
                <lb/>
              les. </s>
              <s id="id.2.1.183.2.1.2.0">ſed vterq; CO AM ſeorſum
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              eſt æqualis ſpatio potentiæ motæ. </s>
              <s id="id.2.1.183.2.1.3.0">
                <lb/>
              quare duo CO MA, ſimul ſpatii
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              potentiæ dupli erunt: treſq; DP
                <lb/>
              HS FR ſimul ſimili modo ſpatii
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              ponderis moti tripli erunt. </s>
              <s id="id.2.1.183.2.1.4.0">dimidia
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              verò pars, hoc eſt ſpatium poten
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              tiæ motæ ad tertiam, ad ſpatium
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              ſcilicet ponderis moti ita ſe habet,
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              vt duplum dimidii ad duplum ter­
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              tii; hoc eſt, vt totum ad duas ter
                <lb/>
                <figure id="id.036.01.195.1.jpg" place="text" xlink:href="036/01/195/1.jpg" number="180"/>
                <lb/>
              tias, quod eſt vt tria ad duo. </s>
              <s id="id.2.1.183.2.1.5.0">ſpatium ergo potentiæ in L ſpa­
                <lb/>
              tii ponderis G moti ſeſquialterum eſt. </s>
              <s id="id.2.1.183.2.1.6.0">quod oſtendere opor­
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              tebat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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