DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
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        <body>
          <chap id="N16758">
            <p id="id.2.1.233.34.0.0.0" type="main">
              <s id="id.2.1.233.34.1.4.0">
                <pb xlink:href="036/01/248.jpg"/>
              potentia moueri cuneo
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              ABC, quàm pondera
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              NO QR cuneo DEF. </s>
            </p>
            <p id="id.2.1.234.1.0.0.0" type="margin">
              <s id="id.2.1.234.1.1.1.0">
                <margin.target id="note319"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              28
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.235.1.0.0.0" type="main">
              <s id="id.2.1.235.1.1.1.0">Diuidantur AC DF
                <lb/>
              bifariam in TV, iungan
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              turq; TBVE, erunt an­
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              guli ad T, & V recti. </s>
              <s id="id.2.1.235.1.1.2.0">con
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              nectatur IG, quæ ſecet
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              BT in X. </s>
              <s id="id.2.1.235.1.1.2.0.a">Quoniam e­
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                <figure id="id.036.01.248.1.jpg" place="text" xlink:href="036/01/248/1.jpg" number="225"/>
                <lb/>
              nim IB eſt æqualis BG, & BA æqualis BC; erit IA ipſi GC
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                <arrow.to.target n="note320"/>
              æqualis. </s>
              <s id="id.2.1.235.1.1.3.0">quare vt BI ad IA, ita eſt BG ad GC. </s>
              <s id="id.2.1.235.1.1.3.0.a">parallela igitur
                <lb/>
                <arrow.to.target n="note321"/>
              eſt IG ipſi AC. </s>
              <s id="N16B9C">ac propterea anguli ad X ſunt recti: ſed & an
                <lb/>
                <arrow.to.target n="note322"/>
              guli XG k XIM ſunt recti, rectangulum enim eſt GM; quare
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              TB æquidiſtans eſt ipſis Gk IM. </s>
              <s id="N16BA5">angulus igitur TBC æqua­
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              lis eſt angulo BGK, & TBA ipſi BIM æqualis. </s>
              <s id="id.2.1.235.1.1.4.0">ſimiliter demon
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              ſtrabimus angulum VEF æqualem eſſe ENP, & VED æqualem
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              EQS. </s>
              <s id="N16BB0">cùm autem angulus ABC minor ſit angulo DEF; erit
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              & angulus TBC minor VEN. </s>
              <s id="N16BB4">quare & BGk minor ENP.
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              </s>
              <s id="N16BB7">ſimili modo BIM minor EQS. </s>
              <s id="id.2.1.235.1.1.4.0.a">quoniam autem cuneus ABC
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              duobus mouet vectibus AB BC, quorum fulcimenta ſunt in B;
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              & pondera in GI: ſimiliter cuneus DEF duobus vectibus mouet
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              DE EF, quorum fulcimenta ſunt in E; & pondera in N Q: per
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              præcedentem pondera GH IL facilius vectibus AB BC mo­
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              uebuntur, quàm pondera NO QR vectibus DE EF. </s>
              <s id="id.2.1.235.1.1.4.0.b">ponde­
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              ra ergo GH IL facilius cuneo ABC mouebuntur, quàm ponde­
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              ra NO QR cuneo DEF. </s>
              <s id="id.2.1.235.1.1.4.0.c">& quia eadem eſt ratio in mouendo,
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              atq; in ſcindendo; facilius idcirco aliquod cuneo ABC ſcindetur
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              quàm cuneo DEF. </s>
              <s id="N16BD4">ſimiliterq; oſtendetur, quò minor eſt angu
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              lus ad verticem cunei, eò facilius aliquod moueri, vel ſcindi. </s>
              <s id="id.2.1.235.1.1.5.0">quod
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              demonſtrare oportebat. </s>
            </p>
            <p id="id.2.1.236.1.0.0.0" type="margin">
              <s id="id.2.1.236.1.1.1.0">
                <margin.target id="note320"/>
              2
                <emph type="italics"/>
              Sexti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.236.1.1.2.0">
                <margin.target id="note321"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              29
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.236.1.1.3.0">
                <margin.target id="note322"/>
              28
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.237.1.0.0.0" type="main">
              <s id="id.2.1.237.1.1.1.0">Præterea quæ mouentur à cuneo DEF, per maiora mouentur
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              ſpatia; quàm ea, quæ à cuneo ABC. </s>
              <s id="id.2.1.237.1.1.1.0.a">nam vt DF ſit intra QN,
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              & AC ſit intra IG; neceſſe eſt, vt QN per ſpatia moueantur
                <lb/>
              maiora; ſcilicet vnum dextrorſum, alter ſiniſtrorſum, quàm IG;
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              cùm DF maior ſit AC; dummodo totus cuneus intra pondera in­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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