DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <pb n="26" xlink:href="036/01/065.jpg"/>
            <p id="id.2.1.47.4.0.0.0" type="main">
              <s id="id.2.1.47.4.1.1.0">Exponantur eadem, ſci
                <lb/>
              licet ſit circulus AEBF;
                <lb/>
              libra〈qué〉 AB, cuius cen­
                <lb/>
              trum C ſit ſupra libram,
                <lb/>
              moueatur in EF. </s>
              <s id="id.2.1.47.4.1.1.0.a">dico
                <lb/>
              pondus in E maiorem ibi
                <lb/>
              habere grauitatem, quàm
                <lb/>
              pondus in F; libramq; EF
                <lb/>
              in AB redire. </s>
              <s id="id.2.1.47.4.1.2.0">Ducantur
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              à punctis EF ipſi AB
                <lb/>
              perpendiculares EL FM,
                <lb/>
              quæ inter ſe æquidiſtan­
                <lb/>
              tes
                <arrow.to.target n="note71"/>
                <figure id="id.036.01.065.1.jpg" place="text" xlink:href="036/01/065/1.jpg" number="49"/>
              erunt; ſitq; punctum N, vbi AB EF ſe inuicem ſecant. </s>
              <s id="id.2.1.47.4.1.3.0">
                <lb/>
              Quoniam igitur angulus FNM eſt æqualis angulo ENL, & an­
                <lb/>
              gulus
                <arrow.to.target n="note72"/>
              F MN rectus recto ELN æqualis, ac reliquus NFM reli­
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              quo
                <arrow.to.target n="note73"/>
              NEL eſt etiam æqualis; erit triangulum NLE triangu
                <lb/>
              lo NMF ſimile. </s>
              <s id="id.2.1.47.4.1.4.0">vt igitur NE ad EL, ita NF ad FM; & per
                <arrow.to.target n="note74"/>
                <lb/>
              mutando vt EN ad NF, ita EL ad FM. </s>
              <s id="id.2.1.47.4.1.4.0.a">ſed cùm ſit HE ipſi
                <arrow.to.target n="note75"/>
                <lb/>
              HF æqualis, erit EN maior NF; quare & EL maior erit FM. </s>
              <s id="id.2.1.47.4.1.4.0.b">
                <lb/>
              & quoniam dum pondus in E per
                <expan abbr="circumferentiiam">circumferentiam</expan>
              EA deſcendit,
                <lb/>
              pondus in F per circumferentiam FB ipſi circumferentiæ EA
                <lb/>
              æqualem aſcendit; deſcenſuſq; ponderis in E de directo (vt ip­
                <lb/>
              ſi dicunt) capit EL: aſcenſus verò ponderis in F de directo ca­
                <lb/>
              pit FM; minus de directo capiet aſcenſus ponderis in F, quàm
                <lb/>
              deſcenſus ponderis in E. </s>
              <s id="id.2.1.47.4.1.4.0.c">maiorem igitur grauitatem habebit pon
                <lb/>
              dus in E, quàm pondus in F. </s>
            </p>
            <p id="id.2.1.48.1.0.0.0" type="margin">
              <s id="id.2.1.48.1.1.1.0">
                <margin.target id="note71"/>
              28
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.48.1.1.2.0">
                <margin.target id="note72"/>
              15
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.48.1.1.3.0">
                <margin.target id="note73"/>
              29
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.48.1.1.4.0">
                <margin.target id="note74"/>
              4
                <emph type="italics"/>
              Sexti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.48.1.1.5.0">
                <margin.target id="note75"/>
              16
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.49.1.0.0.0" type="main">
              <s id="id.2.1.49.1.1.1.0">Producatur CD ex vtraq; parte in OP, quæ lineam EF in
                <lb/>
              puncto S ſecet. </s>
              <s id="id.2.1.49.1.1.2.0">& quoniam (vt aiunt) quò magis pondus à li­
                <lb/>
              nea directionis OP diſtat, eò fit grauius; idcirco hoc quoq; me
                <lb/>
              dio pondus in E maiorem habere
                <expan abbr="grauitauitatem">grauitatem</expan>
              pondere in F o­
                <lb/>
              ſtendetur. </s>
              <s id="id.2.1.49.1.1.3.0">Ducantur à punctis EF ipſi OP perpendiculares EQ
                <lb/>
              FR. </s>
              <s id="id.2.1.49.1.1.3.0.a">ſimili ratione oſtendetur, triangulum QES triangulo RFS
                <lb/>
              ſimile eſſe; lineamq; EQ ipſa RF maiorem eſſe. </s>
              <s id="id.2.1.49.1.1.4.0">pondus itaq;
                <lb/>
              in E magis à linea OP diſtabit, quàm pondus in F; ac propterea
                <lb/>
              pondus in E maiorem habebit grauitatem pondere in F. </s>
              <s id="id.2.1.49.1.1.4.0.a">ex quibus
                <lb/>
              reditus libræ EF in AB manifeſtus apparet. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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