DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N160CF" type="main">
              <s id="N16148">
                <pb xlink:href="077/01/162.jpg" pagenum="158"/>
                <emph type="italics"/>
              eſt punctum
                <expan abbr="q.">〈que〉</expan>
              conſtat totius portionis ABC centrum grauitatis eſſe
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg282"/>
                <emph type="italics"/>
              in linea QE. hoc est inter puncta QE. Quare totius portionis
                <expan abbr="cētrum">centrum</expan>
                <lb/>
              grauitatis propinquius eſt vertici portionis, quam
                <emph.end type="italics"/>
              centrum grauitatis
                <lb/>
                <emph type="italics"/>
              trianguli planè inſcripti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1617F" type="margin">
              <s id="N16181">
                <margin.target id="marg277"/>
                <emph type="italics"/>
              ante pri­
                <lb/>
              mi huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1618B" type="margin">
              <s id="N1618D">
                <margin.target id="marg278"/>
              4.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N16196" type="margin">
              <s id="N16198">
                <margin.target id="marg279"/>
              2.
                <emph type="italics"/>
              ſexti­
                <lb/>
              lemma ta
                <lb/>
              aliter
                <emph.end type="italics"/>
              13.
                <lb/>
                <emph type="italics"/>
              primi hui^{9}
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N161AC" type="margin">
              <s id="N161AE">
                <margin.target id="marg280"/>
              2.
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N161B7" type="margin">
              <s id="N161B9">
                <margin.target id="marg281"/>
              4.
                <emph type="italics"/>
              primi
                <lb/>
              buius.
                <lb/>
              ex its quæ
                <lb/>
              ante
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              hu
                <lb/>
              ius demon
                <lb/>
              ſtrata ſunt.
                <lb/>
              ex
                <emph.end type="italics"/>
              8.
                <emph type="italics"/>
              pri­
                <lb/>
              mi huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N161DC" type="margin">
              <s id="N161DE">
                <margin.target id="marg282"/>
              *</s>
            </p>
            <figure id="id.077.01.162.1.jpg" xlink:href="077/01/162/1.jpg" number="102"/>
            <figure id="id.077.01.162.2.jpg" xlink:href="077/01/162/2.jpg" number="103"/>
            <p id="N161E9" type="main">
              <s id="N161EB">
                <emph type="italics"/>
              Rurſus in portione pent agonum rectilineum AKBLC planè inſcri­
                <lb/>
              batur. </s>
              <s id="N161F1">ſitquè totius portionis diameter BD, vtriuſ〈que〉 autem portionis
                <emph.end type="italics"/>
                <lb/>
              AKB. BLC
                <emph type="italics"/>
              diameter ſit vtra〈que〉 KF LG. & quoniam in portione
                <lb/>
              AKB planè inſcripta est figura rectilinea
                <emph.end type="italics"/>
              trilatera AKB,
                <emph type="italics"/>
              totius por
                <lb/>
              tionis
                <emph.end type="italics"/>
              AKB
                <emph type="italics"/>
              centrum grauitatis est propinquius vertici
                <emph.end type="italics"/>
              K,
                <emph type="italics"/>
              quam
                <lb/>
              centrum rectilineæ figuræ
                <emph.end type="italics"/>
              AKB.
                <emph type="italics"/>
              ſit ita〈que〉 portionis A
                <emph.end type="italics"/>
              k
                <emph type="italics"/>
              B centrum
                <lb/>
              grauitatis punctum H; trianguli verò punctum 1. Rurſus autem ſit por
                <lb/>
              tionis BLC centrum grauitatis punctum M. trianguli verò
                <emph.end type="italics"/>
              BLC
                <emph type="italics"/>
              pun
                <lb/>
              ctum N. iunganturquè HM JN
                <emph.end type="italics"/>
              ; quæ BD ſecent in punctis
                <lb/>
              QT. erit vti〈que〉 punctum Q vertici B propinquius,
                <expan abbr="quã">quam</expan>
                <lb/>
              T. & quoniam (ſi ducta eſſet FG) lineæ HM IN FG ab æ
                <lb/>
                <arrow.to.target n="marg283"/>
              quidiſtantibus lineis KF BD LG in eadem
                <expan abbr="diuidũtur">diuiduntur</expan>
              pro­
                <lb/>
              portione. </s>
              <s id="N16241">FG verò, vt oſtenſum eſt, bifariam à linea BD di­
                <lb/>
              uideretur; ergo & lineæ HM IN bifariam diuiſę
                <expan abbr="proucniẽt">proucnient</expan>
              .
                <lb/>
                <emph type="italics"/>
              æqualis est igitur HQ ipſi QM; & IT ipſi TN. ſed triangulo
                <lb/>
              AKB æquale est triangulum BLC; portio vero A
                <emph.end type="italics"/>
              k
                <emph type="italics"/>
              B portioni
                <lb/>
              BLC eſt æqualis. </s>
              <s id="N16257">Demonstratum eſt enim alis in loçis portiones
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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