DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N13F6F">
            <p id="id.2.1.145.12.0.0.0" type="main">
              <s id="id.2.1.145.12.1.4.0">
                <pb n="69" xlink:href="036/01/151.jpg"/>
              FL ipſe quoq; pondus ſuſtineat, cùm potentiæ in E
                <expan abbr="vicẽ">vicem</expan>
              gerat; quia
                <lb/>
              tamen ex eodemmet puncto ſuſtinet, vbi appenſum eſt pondus, non
                <lb/>
              efficiet propterea, quin potentiæ in BD ſint inter ſe ſe æquales;
                <lb/>
              opitulatur enim tàm vni, quàm alteri. </s>
              <s id="id.2.1.145.12.1.5.0">potentiæ verò in BD eæ­
                <lb/>
              dem ſunt, ac ſi eſſent in HM; quare tàm ſuſtinebit funis MD,
                <lb/>
              quàm HB. </s>
              <s id="id.2.1.145.12.1.5.0.a">ita verò ſuſtinet HB, atq; FL; funis igitur MD ita
                <lb/>
              ſuſtinebit, ſicut FL, hoc eſt, ac ſi in D, & L appenſa eſſent pon­
                <lb/>
              dera æqualia. </s>
              <s id="id.2.1.145.12.1.6.0">Cùm itaq; æqualia pondera à potentiis ſuſtinean­
                <lb/>
              tur æqualibus, potentiæ in ML æquales erunt; quarum eadem pror
                <lb/>
              ſus eſt ratio, ac ſi eſſent ambæ in DE. </s>
              <s id="id.2.1.145.12.1.6.0.a">Itaq; cùm pondus A in
                <lb/>
              medio vectis BD ſit appenſum, duæq; potentiæ ſint æquales in
                <lb/>
              DE pondus ſuſtinentes; erit B fulcimentum, ac vnaquæq; potentia,
                <arrow.to.target n="note230"/>
                <lb/>
              ſiue in DE, ſiue in ML ſubtripla ponderis A. </s>
              <s id="N144EE">ergo potentia in M
                <lb/>
              ſuſtinens pondus ſubtripla erit ponderis A. </s>
              <s id="N144F2">quod oſtendere o­
                <lb/>
              portebat. </s>
            </p>
            <p id="id.2.1.146.1.0.0.0" type="margin">
              <s id="id.2.1.146.1.1.1.0">
                <margin.target id="note227"/>
                <emph type="italics"/>
              In
                <emph.end type="italics"/>
              2
                <emph type="italics"/>
              Huius
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.146.1.1.2.0">
                <margin.target id="note228"/>
              1
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.146.1.1.3.0">
                <margin.target id="note229"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              3
                <emph type="italics"/>
              Cor.
                <emph.end type="italics"/>
              2
                <emph type="italics"/>
              Huius vecte.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.146.1.1.4.0">
                <margin.target id="note230"/>
              4
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.147.1.0.0.0" type="head">
              <s id="id.2.1.147.1.1.1.0">COROLLARIVM. </s>
            </p>
            <p id="id.2.1.147.2.0.0.0" type="main">
              <s id="id.2.1.147.2.1.1.0">Ex hoc manifeſtum eſt, vnumquemq; funem
                <lb/>
              MD FL HB tertiam ſuſtinere partem pon­
                <lb/>
              deris A. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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