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

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page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N136E4" type="main">
              <s id="N137CD">
                <pb xlink:href="077/01/102.jpg" pagenum="98"/>
                <emph type="italics"/>
              bent proportionem, quam NH ad HR.
                <emph.end type="italics"/>
              linea igitur, quæ eandem
                <lb/>
              habeat proportionem ad HR, quam parallelogramma MN
                <lb/>
              kX FO ad circumrelicta triangula, maior erit, quàm VH
                <lb/>
                <emph type="italics"/>
              Fiat itaquè in eademproportione QH ad HR, ut parallelogramma ad
                <lb/>
              triangula;
                <emph.end type="italics"/>
              erit vti〈que〉 QH maior, quam VH.
                <emph type="italics"/>
              Quoniam igitur eſt
                <lb/>
              magnitudo ABC, cuius centrum grauitatis est H, & ab ea magnitudo
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="fig44"/>
                <lb/>
                <emph type="italics"/>
              auferatur compoſita ex MN
                <emph.end type="italics"/>
              k
                <emph type="italics"/>
              X FO parallelogrammis; & magnitudi
                <lb/>
              nis ablatæ centrum grauitatis eſt punctum R; magnitudinis reliquæ ex
                <lb/>
              circumrelictis triangulis compoſitæ centrum grauitatis erit in recta li-
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg135"/>
                <emph type="italics"/>
              nea RH
                <emph.end type="italics"/>
              ex parte H
                <emph type="italics"/>
              producta, aſſumptaquè aliqua
                <emph.end type="italics"/>
              vt, QH,
                <emph type="italics"/>
              quæ ad
                <lb/>
              HR eam habeat proportionem, quam habet magnnudo
                <emph.end type="italics"/>
              ex parallelo­
                <lb/>
              grammis MN KX FO conſtans
                <emph type="italics"/>
              ad reliquum,
                <emph.end type="italics"/>
              hoc eſt ad reli­
                <lb/>
              qua triangula,
                <emph type="italics"/>
              ergo punctum Q centrum est grauitatis magnitudinis
                <lb/>
              ex ipſis circumrelictis
                <emph.end type="italics"/>
              triangulis
                <emph type="italics"/>
              compoſitæ. </s>
              <s id="N1397F">quoa fieri non poteſi aucta
                <lb/>
              enim recta linea
                <foreign lang="grc">θκ</foreign>
              per Q ipſi AD æquidistante in
                <emph.end type="italics"/>
              eodem
                <emph type="italics"/>
              plano
                <emph.end type="italics"/>
                <expan abbr="triã">triam</expan>
                <lb/>
              guli ABC,
                <emph type="italics"/>
              in ipſa eſſent omnia centra
                <emph.end type="italics"/>
              grauitatis trian­
                <lb/>
              gulorum,
                <emph type="italics"/>
              hoc est in vtram〈que〉 partem
                <emph.end type="italics"/>
              Q
                <foreign lang="grc">θ</foreign>
              Q
                <foreign lang="grc">κ</foreign>
              , centraquè
                <lb/>
              grauitatis trianguli ALM, ac centrum magnitudinis ex vtriſ­
                <lb/>
              què triangulis LGN MK
                <foreign lang="grc">δ</foreign>
                <expan abbr="cōpoſitę">compoſitę</expan>
              in parte Q
                <foreign lang="grc">θ</foreign>
              eſſe
                <expan abbr="deberẽt">deberent</expan>
              . </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>