DelMonte, Guidubaldo, Mechanicorvm Liber

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          <chap id="N13F6F">
            <pb xlink:href="036/01/146.jpg"/>
            <p id="id.2.1.143.10.0.0.0" type="head">
              <s id="id.2.1.143.10.1.1.0">PROPOSITIO III. </s>
            </p>
            <p id="id.2.1.143.11.0.0.0" type="main">
              <s id="id.2.1.143.11.1.1.0">Si vtriſq; duarum trochlearum ſingulis or­
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              biculis, quarum altera ſupernè, altera verò in­
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              fernè conſtituta, ponderiq; alligata fuerit, cir
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              cunducatur funis; altero eius extremo alicubi
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              religato, altero verò à potentia pondus ſuſti­
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              nente detento; erit potentia ponderis ſub du­
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              pla. </s>
            </p>
            <p id="id.2.1.143.12.0.0.0" type="main">
              <s id="id.2.1.143.12.1.1.0">Sit pondus A; ſit BCD orbiculus trochleæ pon
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              deri A alligatæ, cuius centrum K; EFG verò
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              ſit trochleæ ſurſum appenſæ, cuius centrum H.
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              </s>
              <s id="N14332">deinde LBC DME FGN funis circa orbicu­
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              los ducatur, qui religetur in L; ſitq; potentia in
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              N ſuſtinens pondus A. </s>
              <s id="id.2.1.143.12.1.1.0.a">dico potentiam in N
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              ſubduplam eſſe ponderis A. </s>
              <s id="N1433D">ſi enim potentia ſu
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              ſtinens pondus A vbi M collocata foret, eſſet
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              vtiq; potentia in M ſubdupla ponderis A. </s>
              <s id="N14343">po­
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                <arrow.to.target n="note225"/>
              tentiæ verò in M æqualis eſt vis in N. </s>
              <s id="N1434A">eſt e­
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                <arrow.to.target n="note226"/>
              nim ac ſi potentia in M dimidium ponderis
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              A ſine trochlea ſuſtineret, cui æqueponderat
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              pondus in N ponderis A dimidio æquale. </s>
              <s id="id.2.1.143.12.1.2.0">
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              quare vis in N æqualis dimidio ponderis A
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              ipſum A ſuſtinebit. </s>
              <s id="id.2.1.143.12.1.3.0">Potentia igitur in N ſuſti
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              nens pondus A ſubdupla eſt ipſius A. </s>
              <s id="N14360">quod
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              demonſtrare oportebat.
                <figure id="id.036.01.146.1.jpg" place="text" xlink:href="036/01/146/1.jpg" number="141"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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