DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N13F6F">
            <pb n="89" xlink:href="036/01/191.jpg"/>
            <p id="id.2.1.177.18.0.0.0" type="main">
              <s id="id.2.1.177.18.1.1.0">Sit orbiculus trochleæ ſupernè appenſæ, cu
                <lb/>
              ius centrum ſit A; & BCD ſit trochleæ infe
                <lb/>
              rioris; ſit deinde funis EBC DFGHL reli­
                <lb/>
              gatus in E; & in L ſit appenſum pondus M;
                <lb/>
              ſitq; potentia in N ſuſtinens pondus M. </s>
              <s id="id.2.1.177.18.1.1.0.a">
                <lb/>
              dico potentiam in N duplam eſſe ponderis
                <lb/>
              M. </s>
              <s id="id.2.1.177.18.1.1.0.b">Cùm enim ſupra oſtenſum ſit potentiam
                <lb/>
              in L, quæ pondus, exempli gratia, O ſuſti­
                <lb/>
              neat
                <arrow.to.target n="note259"/>
              in N appenſum, ſubduplam eſſe eiuſdem
                <lb/>
              ponderis; potentia igitur in N ponderi O æ­
                <lb/>
              qualis pondus M potentiæ in L æquale ſuſti
                <lb/>
              nebit; ponderiſq; M dupla erit. </s>
              <s id="id.2.1.177.18.1.2.0">quod demon
                <lb/>
              ſtrare oportebat. </s>
            </p>
            <p id="id.2.1.178.1.0.0.0" type="margin">
              <s id="id.2.1.178.1.1.1.0">
                <margin.target id="note259"/>
              3
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.036.01.191.1.jpg" place="text" xlink:href="036/01/191/1.jpg" number="177"/>
            <p id="id.2.1.179.1.1.1.0" type="head">
              <s id="id.2.1.179.1.3.1.0">ALITER. </s>
            </p>
            <p id="id.2.1.179.2.0.0.0" type="main">
              <s id="id.2.1.179.2.1.1.0">Iiſdem poſitis. </s>
              <s id="id.2.1.179.2.1.2.0">Quoniam potentia in F,
                <arrow.to.target n="note260"/>
                <lb/>
              ſeu in D, quod idem eſt, æqualis eſt ponde
                <lb/>
              ri M; & BD eſt vectis, cuius fulcimentum
                <lb/>
              eſt B, & potentia in N eſt, ac ſi eſſet in me­
                <lb/>
              dio vectis, & pondus æquale ipſi M, ac ſi eſ­
                <lb/>
              ſet in D propter funem FD; quod idem
                <lb/>
              eſt, ac ſi BCD eſſet orbiculus trochleæ ſupe
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              rioris, pondusq; appenſum eſſet in fune DF,
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              ſicut in decimaquinta, & decimaſexta dictum eſt; ergo potentia in
                <lb/>
              N dupla eſt ponderis M. </s>
              <s id="N15555">quod erat oſtendendum. </s>
            </p>
            <p id="id.2.1.180.1.0.0.0" type="margin">
              <s id="id.2.1.180.1.1.1.0">
                <margin.target id="note260"/>
              1
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.181.1.0.0.0" type="main">
              <s id="id.2.1.181.1.1.1.0">Si autem in N ſit potentia mouens pondus M, erit ſpatium
                <lb/>
              ponderis M duplum ſpatii potentiæ in N. </s>
              <s id="N1556C">quod ex duodecima
                <lb/>
              huius manifeſtum eſt; ſpatium enim puncti L deorſum ten­
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              dentis duplum eſt ſpatii N ſurſum; erit igitur è conuerſo ſpatium
                <lb/>
              potentiæ in N deorſum tendentis dimidium
                <expan abbr="ſaptii">spatii</expan>
              ponderis M ſur
                <lb/>
              ſum moti. </s>
            </p>
            <p id="id.2.1.181.2.0.0.0" type="main">
              <s id="id.2.1.181.2.1.1.0">Sicut autem ex tertia, quinta, ſeptima huius, &c. </s>
              <s id="id.2.1.181.2.1.2.0">colligi poſſunt
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              ponderis O rationes quotcunq; multiplices ipſius potentiæ in L,
                <lb/>
                <expan abbr="eodẽ">eodem</expan>
              quoq; modo oſtendi poterunt potentiæ in N pondus ſuſtinen
                <lb/>
              tis ponderis M quotcunq; multiplices. </s>
              <s id="id.2.1.181.2.1.3.0">Atq; ita ex decimatertia </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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