DelMonte, Guidubaldo, Mechanicorvm Liber

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        <body>
          <chap id="N1043F">
            <p id="id.2.1.53.10.0.0.0" type="main">
              <s id="id.2.1.53.10.1.5.0.a">
                <pb n="31" xlink:href="036/01/075.jpg"/>
              dus E pondere L maius. </s>
              <s id="id.2.1.53.10.1.6.0">diuidatur itaq; pondus E in duas partes
                <lb/>
              NO ita, vt pars O ſit ipſi L æqualis, erit HC ad CG, vt to­
                <lb/>
              tum NO ad O; & diuidendo, vt HG ad GC, ita N ad O:
                <arrow.to.target n="note84"/>
                <lb/>
              conuertendoq; vt CG ad GH, ita O ad N. </s>
              <s id="N12243">& iterum com­
                <lb/>
              ponendo, vt CH ad HG, ita ON ad N. </s>
              <s id="N12247">vt autem GH
                <arrow.to.target n="note85"/>
                <lb/>
              ad HB, ita eſt F ad ON. </s>
              <s id="N1224E">quare ex æquali, vt CH ad HB, ita F
                <arrow.to.target n="note86"/>
                <lb/>
              ad N. ſed vt CH ad HB ita eſt Q ad R: erit igitur Q ad R, vt
                <arrow.to.target n="note87"/>
                <lb/>
              F ad N; & permutando, vt Q ad F, ita R ad N. </s>
              <s id="N1225A">eſt autem pars
                <arrow.to.target n="note88"/>
                <lb/>
              Q ipſi F æqualis; quare & pars R ipſi N æqualis erit. </s>
              <s id="id.2.1.53.10.1.7.0">Itaq; cùm
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              pondus L ſit ipſi O æquale, & pondus F ipſi Q etiam æquale, atq;
                <lb/>
              pars R ipſi N æqualis; erunt pondera LM ipſis EF ponderibus
                <lb/>
              æqualia. </s>
              <s id="id.2.1.53.10.1.8.0">& quoniam eſt, vt AC ad CG, ita pondus E ad pon­
                <lb/>
              dus L; pondera EL æqueponderabunt. </s>
              <s id="id.2.1.53.10.1.9.0">ſimiliter quoniam eſt, vt
                <arrow.to.target n="note89"/>
                <lb/>
              AC ad CB, ita
                <expan abbr="pundus">pondus</expan>
              F ad pondus M; pondera quoq; FM
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              æqueponderabunt. </s>
              <s id="id.2.1.53.10.1.10.0">Pondera igitur LM ponderibus EF in BG
                <arrow.to.target n="note90"/>
                <lb/>
              appenſis æqueponderabunt. </s>
              <s id="id.2.1.53.10.1.11.0">cùm autem diſtantia CA æqualis ſit
                <lb/>
              diſtantiæ CH; ſi igitur vtraq; pondera EF in H appendantur,
                <lb/>
              pondera LM ipſis EF ponderibus in H appenſis æquepondera­
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              bunt. </s>
              <s id="id.2.1.53.10.1.12.0">ſed LM ipſis EF in GB quoq; æqueponderant: æquè
                <arrow.to.target n="note91"/>
                <lb/>
              igitur grauia erunt pondera EF in GB, vt in H appenſa. </s>
              <s id="id.2.1.53.10.1.13.0">tàm igi
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              tur ponderabunt in BG, quàm in H appenſa.
                <figure id="id.036.01.075.1.jpg" place="text" xlink:href="036/01/075/1.jpg" number="65"/>
              </s>
            </p>
            <p id="id.2.1.53.11.0.0.0" type="main">
              <s id="id.2.1.53.11.1.1.0">Sint autem pondera EF in CB appenſa; ſitq; C libræ centrum;
                <lb/>
              & diuidatur CB in H, ita vt CH ad HB ſit, vt pondus in F ad
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              E. </s>
              <s id="id.2.1.53.11.1.1.0.a">Dico pondera EF tàm in CB ponderare, quàm in puncto H. </s>
              <s id="id.2.1.53.11.1.1.0.b">
                <lb/>
              fiat CA ipſi CH æqualis, & vt CA ad CB, ita fiat pondus F ad
                <lb/>
              aliud D, quod appendatur in A. </s>
              <s id="id.2.1.53.11.1.1.0.c">Quoniam enim CH eſt æqua­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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