DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N13F6F">
            <p id="id.2.1.165.7.0.0.0" type="main">
              <s id="id.2.1.165.7.1.1.0">
                <pb n="81" xlink:href="036/01/175.jpg"/>
              ligata, altero autem à mouente potentia deten­
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              to: erit decurſum trahentis potentiæ ſpatium, mo
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              ti ponderis ſpatii triplum. </s>
            </p>
            <p id="id.2.1.165.8.0.0.0" type="main">
              <s id="id.2.1.165.8.1.1.0">Sit pondus A; ſit BCD orbiculus tro
                <lb/>
              chleæ ponderi A ex EQ ſuſpenſo alligatæ;
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              ſitq; orbiculi centrum E; ſit deinde FGH
                <lb/>
              orbiculus trochleæ ſurſum appenſæ, cuius
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              centrum k; ſitq; funis LFGHDCBM
                <lb/>
              circa omnes reuolutus orbiculos, tro­
                <lb/>
              chleæq; inferiori in L religatus: ſitq; in
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              M potentia mouens. </s>
              <s id="id.2.1.165.8.1.2.0">dico ſpatium de­
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              curſum à potentia in M, dum mouet pon
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              dus, triplum eſſe ſpatii moti ponderis A. </s>
              <s id="id.2.1.165.8.1.2.0.a">
                <lb/>
              Moueatur potentia in M vſq; ad N; &
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              centrum E ſit motum vſq; ad O; & L vſ
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              que ad P; atq; pondus A, hoc eſt pun­
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              ctum Q vſq; ad R; orbiculuſq; motus, ſit
                <lb/>
              TSV. </s>
              <s id="N14EED">ducantur per EO lineæ ST BD
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              horizonti æquidiſtantes, quæ inter ſe ſe
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              quoq; æquidiſtantes erunt. </s>
              <s id="id.2.1.165.8.1.3.0">quoniam au
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              tem dum E eſt in O, punctum Q eſt in
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              R; erit EQ æqualis OR, & EO ipſi QR
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              æqualis; ſimiliter LQ æqualis erit PR,
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              & L P ipſi QR æqualis. </s>
              <s id="id.2.1.165.8.1.4.0">tres igitur QR
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              EO LP inter ſe ſe æquales erunt; quibus
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              etiam ſunt æquales BS DT. </s>
              <s id="id.2.1.165.8.1.4.0.a">& quoniam fu
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              nis LFGHDCBM æqualis eſt funi PF
                <lb/>
              GHTVSN, cùm ſit idem funis, & qui
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              circa ſemicirculum TVS eſt æqualis funi
                <lb/>
              circa ſemicirculum BCD; demptis igi
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              tur communibus PFGHT' & SM; erit
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              reliquus MN tribus BS LP DT ſimul
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              ſumptis æqualis. </s>
              <s id="id.2.1.165.8.1.5.0">BS verò LP DT ſimul
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              tripli ſunt EO, & ex conſequenti QR.
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                <figure id="id.036.01.175.1.jpg" place="text" xlink:href="036/01/175/1.jpg" number="164"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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