DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <p id="id.2.1.53.11.0.0.0" type="main">
              <s id="id.2.1.53.11.1.8.0">
                <pb n="32" xlink:href="036/01/077.jpg"/>
                <figure id="id.036.01.077.1.jpg" place="text" xlink:href="036/01/077/1.jpg" number="67"/>
              </s>
            </p>
            <p id="id.2.1.53.12.0.0.0" type="main">
              <s id="id.2.1.53.12.1.1.0">Sit deniq; libra AB, & ex punctis AB ſuſpenſa ſint pondera
                <lb/>
              EF; ſitq; centrum libræ C intra pondera; diuidaturq; AB in
                <lb/>
              D, ita vt AD ad DB ſit, vt pondus F ad pondus E. </s>
              <s id="id.2.1.53.12.1.1.0.a">Dico pon
                <lb/>
              dera EF tàm in AB ponderare, quám ſi vtraq; ex puncto D ſuſpen
                <lb/>
              dantur. </s>
              <s id="id.2.1.53.12.1.2.0">fiat CG æqualis ipſi CD; & vt DC ad CA, ita fiat
                <lb/>
              pondus E ad aliud H; quod appendatur in D. </s>
              <s id="id.2.1.53.12.1.2.0.a">vt autem GC ad
                <lb/>
              CB, ita fiat pondus F ad aliud K; appendaturq; k in G. </s>
              <s id="id.2.1.53.12.1.2.0.b">
                <expan abbr="Quoniã">Quoniam</expan>
              enim
                <lb/>
              eſt, vt BC ad CG, hoc eſt ad CD, ita pondus k ad F; erit K ma
                <lb/>
              ius pondere F. </s>
              <s id="N12329">quare diuidatur pondus k in L, & MN; fiatq;
                <lb/>
              pars L ipſi F æqualis; erit vt BC ad CD, vt totum LMN ad
                <lb/>
              L; & diuidendo, vt BD ad DC, ita pars MN ad partem L. </s>
              <s id="N1232F">vt
                <arrow.to.target n="note95"/>
                <lb/>
              igitur BD ad DC, ita pars MN ad F. </s>
              <s id="N12336">vt autem AD ad DB,
                <lb/>
              ita F ad E: quare ex æquali, vt AD ad DC, ita MN ad E. </s>
              <s id="N1233A">cùm
                <arrow.to.target n="note96"/>
                <lb/>
              verò AD ſit ipſa CD maior; erit & pars MN pondere E
                <lb/>
              maior: diuidatur ergo MN in duas partes MN, ſitq; M æqua
                <lb/>
              lis ipſi E. </s>
              <s id="N12345">erit vt AD ad DC, vt NM ad M; & diuidendo, vt
                <arrow.to.target n="note97"/>
                <lb/>
              AC ad CD, ita N ad M: conuertendoq; vt DC ad CA, ita M
                <lb/>
              ad N. </s>
              <s id="N1234E">vt autem DC ad CA, ita eſt E ad H; erit igitur M ad N
                <arrow.to.target n="note98"/>
                <lb/>
              vt E ad H; & permutando, vt M ad E, ita N ad H. </s>
              <s id="N12355">ſed ME
                <arrow.to.target n="note99"/>
                <lb/>
              ſunt inter ſe æqualia, erunt NH inter ſeſe quoq; æqualia. </s>
              <s id="id.2.1.53.12.1.3.0">& quo­
                <lb/>
              niam ita eſt AC ad CD, vt H ad E: pondera HE æqueponde­
                <lb/>
              rabunt.
                <arrow.to.target n="note100"/>
              </s>
              <s id="id.2.1.53.12.1.4.0">ſimiliter quoniam eſt vt GC ad CB, ita F ad k, ponde­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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