DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N13F6F">
            <p id="id.2.1.165.1.0.0.0" type="main">
              <s id="id.2.1.165.1.1.1.0">
                <pb n="80" xlink:href="036/01/173.jpg"/>
              rum fulcimenta erunt in extremitatibus vectium. </s>
            </p>
            <p id="id.2.1.165.2.0.0.0" type="main">
              <s id="id.2.1.165.2.1.1.0">Iiſdem poſitis, ſpatium potentiæ duplum eſt
                <lb/>
              ſpatii ponderis. </s>
            </p>
            <p id="id.2.1.165.3.0.0.0" type="main">
              <s id="id.2.1.165.3.1.1.0">Sit motum centrum K vſq; ad centrum R; & orbiculus ſit FTG.
                <lb/>
              </s>
              <s id="N14E39">deinde per centrum R ducatur GF ipſi EC æquidiſtans: tangent
                <lb/>
              funes EH CB orbiculum in GF punctis. </s>
              <s id="id.2.1.165.3.1.2.0">fiat deniq; RQ æqua
                <lb/>
              lis KS. </s>
              <s id="N14E42">dum igitur k erit in R; pondus A, ſcilicet punctum S erit
                <lb/>
              in q. </s>
              <s id="N14E46">& dum centrum orbiculi eſt in R, ſit potentia in O mota
                <lb/>
              in P. </s>
              <s id="id.2.1.165.3.1.2.0.a">& quoniam funis BCDEHMNO eſt æqualis funi BFT
                <lb/>
              GHMNP; eſt enim idem funis; & FTG æqualis eſt CDE; dem
                <lb/>
              ptis igitur communibus BF, & GHMNO, erit reliquus OP ip
                <lb/>
              ſis FCEG ſimul ſumptis æqualis: & per conſequens duplus kR,
                <lb/>
              & QS & cùm OP ſit ſpatium potentiæ motæ, & SQ ſpatium pon
                <lb/>
              deris moti; erit ſpatium potentiæ duplum ſpatii ponderis. </s>
              <s id="id.2.1.165.3.1.3.0">quod
                <lb/>
              erat oſtendendum. </s>
            </p>
            <p id="id.2.1.165.4.0.0.0" type="main">
              <s id="id.2.1.165.4.1.1.0">Præterea potentia idem pondus in æquali
                <lb/>
              tempore per dimidium ſpatium mouebit fune
                <lb/>
              circa duos orbiculos reuoluto, quorum vnus
                <lb/>
              ſit trochleæ ſuperioris, alter verò ſit trochleæ
                <lb/>
              ponderi alligatæ; quàm ſine trochleis: dummo­
                <lb/>
              do ipſius potentiæ lationes ſint æqualiter ve­
                <lb/>
              loces. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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