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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N140F0" type="main">
              <s id="N140FC">
                <pb xlink:href="077/01/112.jpg" pagenum="108"/>
                <arrow.to.target n="marg173"/>
                <emph type="italics"/>
              AG D centrum grauitatis in linea EG. ergo reliqui trapezii ABC
                <lb/>
              centrum grauitatis erit in linea EF. iungatur ita〈que〉 BD, quæ int
                <lb/>
              æqua in punctis
                <emph.end type="italics"/>
              K
                <emph type="italics"/>
              H diuidatur. </s>
              <s id="N1414A">ac per ea
                <expan abbr="ducãtur">ducantur</expan>
              LHM N
                <emph.end type="italics"/>
              k
                <emph type="italics"/>
              T
                <gap/>
                <lb/>
              BC æquidiſtantes
                <emph.end type="italics"/>
              ; quæ lineam EF in punctis RS diſpeſcant
                <lb/>
                <emph type="italics"/>
              lungantur〈que〉 DF BE,
                <emph.end type="italics"/>
              ſecetquè DF lineam LM in X. ip
                <lb/>
              verò EB ſecet NT in O. Iungaturquè
                <emph type="italics"/>
              OX
                <emph.end type="italics"/>
              , quæ lineam EF
                <lb/>
                <arrow.to.target n="fig52"/>
                <lb/>
                <arrow.to.target n="marg174"/>
              P ſecet.
                <emph type="italics"/>
              erit ita〈que〉 trianguli DBC centrum grauitatis in linea H
                <lb/>
              cùm ſit HB tertia pars ipſius B D
                <emph.end type="italics"/>
              ; ſitquè propterea DH ipſi
                <lb/>
              HB dupla.
                <emph type="italics"/>
              & per punctum H ducta ſit baſi
                <emph.end type="italics"/>
              BC
                <emph type="italics"/>
              æquidiſtans M
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg175"/>
                <emph type="italics"/>
              eſt autem centrum quo〈que〉 grauitatis trianguli DBC in linea DF
                <emph.end type="italics"/>
              ; q
                <lb/>
              eſt ab angulo D ad dimidiam BC ducta.
                <emph type="italics"/>
              Quare dicti triang
                <lb/>
              centrum grauitatis est punctum X. Eademquè ratione
                <emph.end type="italics"/>
              cùm ſit D
                <lb/>
              tertia pars ipſius DB, ac proptcrea ſit BK ipſius KD dup
                <lb/>
              ſitquè KN æquidiſtans ipſi AD; erit centrum grauitatis tri
                <lb/>
              guli ABD in linea KN; idem verò centrum reperitur quo
                <lb/>
              in linea BE, cùm ſit ab angulo B ad dimidiam AD duc
                <lb/>
              ergo
                <emph type="italics"/>
              punctum O
                <emph.end type="italics"/>
              , vbi ſe inuicem ſecant,
                <emph type="italics"/>
              centrum eſt grauitatist
                <lb/>
              guli ABD. magnitudinis igitur ex vtriſ〈que〉 triangulis ABD BI
                <lb/>
              compoſitæ, quæ eſt trapezium
                <emph.end type="italics"/>
              ABCD,
                <emph type="italics"/>
              centrum grauitatis est in rect
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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