DelMonte, Guidubaldo, Mechanicorvm Liber

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        <body>
          <chap id="N13F6F">
            <p id="id.2.1.175.3.0.0.0" type="main">
              <pb n="87" xlink:href="036/01/187.jpg"/>
              <s id="id.2.1.175.3.3.1.0">COROLLARIVM </s>
            </p>
            <p id="id.2.1.176.1.0.0.0" type="margin">
              <s id="id.2.1.176.1.1.1.0">
                <margin.target id="note257"/>
              16
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.176.1.1.2.0">
                <margin.target id="note258"/>
              15
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.177.1.0.0.0" type="main">
              <s id="id.2.1.177.1.1.1.0">Ex quo patet, ſi funis fuerit religatus in G, &
                <lb/>
              circa orbiculos, quorum centra ſunt BCD reuo­
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              lutus; potentiam in R pondus ſuſtinentem ſimili­
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              ter ponderis Q quadruplam eſſe. </s>
              <s id="id.2.1.177.1.1.2.0">orbiculus enim,
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              cuius centrum A, nihil efficit. </s>
            </p>
            <p id="id.2.1.177.2.0.0.0" type="main">
              <s id="id.2.1.177.2.1.1.0">Si autem in R ſit potentia mouens pondus. </s>
              <s id="id.2.1.177.2.1.2.0">dico
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              ſpatium ponderis moti quadruplum eſſe ſpatii
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              potentiæ. </s>
            </p>
            <p id="id.2.1.177.3.0.0.0" type="main">
              <s id="id.2.1.177.3.1.1.0">Moueantur centra CD orbiculorum vſq; ad
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              ST; erunt ex ſuperius dictis CS DT ſpatio
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              potentiæ æqualia; & per CSDT ducantur Hk
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              VX NO YZ horizonti æquidiſtantes; &
                <expan abbr="dũ">dum</expan>
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              centra CD ſunt in ST, ſit pondus Q, hoc eſt
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              punctum P motum in 9. </s>
              <s id="N153F4">& quoniam funis EF
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              GHKLMNOP æqualis eſt funi EFGVX
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              LMYZ 9; cùm ſit idem funis: & funes circa
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              ſemicirculos NIO H
                <foreign lang="grc">α</foreign>
              k ſunt æquales funi­
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              bus, qui ſunt circa ſemicirculos Y
                <foreign lang="el">d</foreign>
              Z V
                <foreign lang="grc">β</foreign>
              X;
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              demptis igitur communibus EFGH kLMN
                <lb/>
              & O9; erit P9 ipſis NY ZO VH
                <emph type="italics"/>
              X
                <emph.end type="italics"/>
              k ſi­
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              mul ſumptis æqualis. </s>
              <s id="id.2.1.177.3.1.2.0">quatuor autem NY ZO
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              VH Xk ſimul quadrupli ſunt DT, hoc eſt
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              ſpatii potentiæ; ſpatium igitur P9 ponderis
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              quadruplum eſt ſpatii potentiæ quod demon
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              ſtrandum fuerat.
                <figure id="id.036.01.187.1.jpg" place="text" xlink:href="036/01/187/1.jpg" number="174"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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