DelMonte, Guidubaldo, Mechanicorvm Liber

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      <text>
        <body>
          <chap id="N13F6F">
            <pb xlink:href="036/01/156.jpg"/>
            <p id="id.2.1.153.1.0.0.0" type="head">
              <s id="id.2.1.153.1.2.1.0">COROLLARIVM I. </s>
            </p>
            <p id="id.2.1.153.2.0.0.0" type="main">
              <s id="id.2.1.153.2.1.1.0">Hinc manifeſtum eſt vnumquemq; funem EF
                <lb/>
              GK LN OP quartam ſuſtinere partem pon­
                <lb/>
              deris A. </s>
            </p>
            <p id="id.2.1.153.3.0.0.0" type="head">
              <s id="id.2.1.153.3.1.1.0">COROLLARIVM II. </s>
            </p>
            <p id="id.2.1.153.4.0.0.0" type="main">
              <s id="id.2.1.153.4.1.1.0">Patet etiam orbiculum, cuius centrum C,
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              non minus eo, cuius centrum eſt B, ſuſtinere. </s>
            </p>
            <p id="id.2.1.153.5.0.0.0" type="head">
              <s id="id.2.1.153.5.1.1.0">ALITER. </s>
            </p>
            <p id="id.2.1.153.6.0.0.0" type="main">
              <s id="id.2.1.153.6.1.1.0">Adhuc iiſdem poſitis, ſi duæ eſſent poten
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              tiæ æquales pondus A ſuſtinentes, vna in O
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                <arrow.to.target n="note236"/>
              altera in C; eſſet vnaquæq; dictarum poten
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              tiarum ponderis A ſubtripla. </s>
              <s id="id.2.1.153.6.1.2.0">ſed quoniam
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              vectis GF, cuius fulcimentum eſt F bifariam
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              diuiſus eſt in C; ſi igitur ponatur in G poten
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              tia idem pondus ſuſtinens, vt potentia in C;
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              erit potentia in G ſubdupla potentiæ, quæ eſ
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              ſet in C; nam ſi potentia in C ſe ipſa pon­
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              dus in C appenſum ſuſtineret, eſſet vtiq; ip
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              ſi ponderi æqualis; & idem pondus, ſi à po
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                <arrow.to.target n="note237"/>
              tentia in G ſuſtineretur, eſſet ipſius poten
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              tiæ in G duplum; potentia veró in C ſubtri
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              pla eſſet ponderis A; ergo potentia in G
                <lb/>
              ſubſexcupla eſſet ponderis A. </s>
              <s id="id.2.1.153.6.1.2.0.a">Cùm itaq;
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              potentia in O ſubtripla ſit ponderis A, &
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              potentia in G ſubſexcupla; erunt vtræq; ſi­
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              mul potentiæ in OG ipſius ponderis A ſub
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              duplæ. </s>
              <s id="id.2.1.153.6.1.3.0">tertia enim pars cum ſexta dimi­
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              dium efficit. </s>
              <s id="id.2.1.153.6.1.4.0">quoniam autem potentiæ in
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              OG, ſiue in PH (vt prius dictum eſt)
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              ſunt inter ſe æquales, ac vtræq; ſimul ſubdu
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              plæ ſunt ponderis A. erit vnaquæq; poten
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                <figure id="id.036.01.156.1.jpg" place="text" xlink:href="036/01/156/1.jpg" number="150"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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