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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/147.jpg" pagenum="143"/>
            <p id="N15580" type="margin">
              <s id="N15582">
                <margin.target id="marg242"/>
              22
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
                <lb/>
                <gap/>
              .
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15593" type="margin">
              <s id="N15595">
                <margin.target id="marg243"/>
              22.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1559E" type="head">
              <s id="N155A0">LEMMA. III.</s>
            </p>
            <figure id="id.077.01.147.1.jpg" xlink:href="077/01/147/1.jpg" number="95"/>
            <p id="N155A5" type="main">
              <s id="N155A7">Sit A ad CD, vt E ad FG, diuidan
                <lb/>
                <expan abbr="turq́">tur〈que〉</expan>
              ; CD FG in
                <expan abbr="eadẽ">eadem</expan>
              proportione in HK,
                <lb/>
              ita vt ſit CH ad HD, vt FK ad KG.
                <lb/>
              Dico A ad DH ita eſſe, vt E ad KG.
                <lb/>
              A verò ad CH, vt E ad Fk. </s>
            </p>
            <p id="N155B8" type="main">
              <s id="N155BA">Quoniam enim ita eſt CH ad HD, vt FK ad kG; e­
                <lb/>
              rit componendo CD ad DH, vt FG ad GK. eſt autem
                <arrow.to.target n="marg244"/>
                <lb/>
              ad CD, vt E ad FG; CD verò eſt ad DH, vt FG ad G
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              ; er
                <lb/>
              go ex æquali A erit ad DH, vt E ad GK.
                <arrow.to.target n="marg245"/>
              quo­
                <lb/>
              niam eſt GH ad HD, vt FK ad kG; erit
                <arrow.to.target n="marg246"/>
                <lb/>
              DH ad HC, vt GK ad KF. rurſus igitur ex æquali A e­
                <lb/>
              rit ad CH, vt E ad FK. quod oſtendere oportebat. </s>
            </p>
            <p id="N155D8" type="margin">
              <s id="N155DA">
                <margin.target id="marg244"/>
              18.
                <emph type="italics"/>
              qumti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N155E3" type="margin">
              <s id="N155E5">
                <margin.target id="marg245"/>
              22
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N155EE" type="margin">
              <s id="N155F0">
                <margin.target id="marg246"/>
                <emph type="italics"/>
              cor.
                <emph.end type="italics"/>
              4.
                <emph type="italics"/>
                <expan abbr="quĩ-ti">quin­
                  <lb/>
                ti</expan>
              .
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15603" type="head">
              <s id="N15605">PROPOSITIO. III.</s>
            </p>
            <p id="N15607" type="main">
              <s id="N15609">Si in
                <expan abbr="vtraq;">vtra〈que〉</expan>
                <expan abbr="duarũ">duarum</expan>
                <expan abbr="ſimiliũ">ſimilium</expan>
                <expan abbr="portionũ">portionum</expan>
              recta linea re
                <lb/>
              ctanguliquè coni ſectione contentarum rectili­
                <lb/>
              neæ figuræ planè inſcribantur; figuræ verò inſcri­
                <lb/>
              ptæ latera inter ſe multitudine æqualia habeant;
                <lb/>
              rectilinearum centra grauitatum portionum dia­
                <lb/>
              metros ſimiliter ſecabunt. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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