DelMonte, Guidubaldo, Mechanicorvm Liber

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        <body>
          <chap id="N128CF">
            <pb xlink:href="036/01/094.jpg"/>
            <p id="id.2.1.79.5.0.0.0" type="head">
              <s id="id.2.1.79.5.1.1.0">COROLLARIVM III. </s>
            </p>
            <p id="id.2.1.79.6.0.0.0" type="main">
              <s id="id.2.1.79.6.1.1.0">Ex hoc quoq; elici poteſt, ſi duæ fuerint poten
                <lb/>
              tiæ, vna in A, altera in B, & vtraq; ſuſtentet
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              pondus E; potentiam in A ad potentiam in B eſ­
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              ſe, vt BC ad CA. </s>
            </p>
            <p id="id.2.1.79.7.0.0.0" type="main">
              <s id="id.2.1.79.7.1.1.0">Vectis enim BA fungi­
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              tur officio duorum
                <expan abbr="vectiũ">vectium</expan>
              ;
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              & AB ſunt tanquam duo
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              fulcimenta, hoc eſt quan­
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              do AB eſt vectis, & poten
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              tia ſuſtinens in A; erit eius
                <lb/>
                <figure id="id.036.01.094.1.jpg" place="text" xlink:href="036/01/094/1.jpg" number="88"/>
                <lb/>
              fulcimentum B. </s>
              <s id="id.2.1.79.7.1.1.0.a">Quando verò BA eſt vectis, & potentia in B;
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              erit A fulcimentum: & pondus ſemper ex puncto C remanet ſu­
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              ſpenſum. </s>
              <s id="id.2.1.79.7.1.2.0">& quoniam potentia in A ad pondus E eſt, vt BC ad
                <lb/>
              BA; vt autem pondus E ad potentiam, quæ eſt in B, ita eſt
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                <arrow.to.target n="note133"/>
              BA ad AC; erit ex æquali, potentia in A ad potentiam in B, vt
                <lb/>
              BC ad CA. </s>
              <s id="N12BB6">& hoc modo facilè etiam proportionem, quæ in
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              Quæſtionibus Mechanicis quæſtione vigeſima nona ab Ariſtotele
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              ponitur, nouiſſe poterimus. </s>
            </p>
            <p id="id.2.1.80.1.0.0.0" type="margin">
              <s id="id.2.1.80.1.1.1.0">
                <margin.target id="note133"/>
              22
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.81.1.0.0.0" type="head">
              <s id="id.2.1.81.1.1.1.0">COROLLARIVM IIII. </s>
            </p>
            <p id="id.2.1.81.2.0.0.0" type="main">
              <s id="id.2.1.81.2.1.1.0">Eſt etiam manifeſtum, vtraſq; potentias in A,
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              & B ſimul ſumptas æquales eſſe ponderi E. </s>
            </p>
            <p id="id.2.1.81.3.0.0.0" type="main">
              <s id="id.2.1.81.3.1.1.0">Pondus enim E ad potentiam in A eſt, vt BA ad BC; & idem
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              pondus E ad potentiam in B eſt, vt BA ad AC; quare pondus
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              E ad vtraſq; potentias in A, & B ſimul ſumptas eſt, vt AB ad BC
                <lb/>
              CA ſimul, hoc eſt ad BA. </s>
              <s id="N12BE3">pondus igitur E vtriſq; potentiis ſimul
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              ſumptis æquale erit. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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