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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/130.jpg" pagenum="126"/>
            <figure id="id.077.01.130.1.jpg" xlink:href="077/01/130/1.jpg" number="85"/>
            <p id="N14BB7" type="main">
              <s id="N14BB9">
                <emph type="italics"/>
              Sint duo ſpacia AB CD, qualia dicta ſunt. </s>
              <s id="N14BBD">ipſorum autem centra
                <lb/>
              grauitatis ſint puncta EF.
                <emph.end type="italics"/>
              iungaturquè EF, quæ diuidatur in
                <lb/>
              H;
                <emph type="italics"/>
              & quam proportionem habet AB ad CD,
                <expan abbr="eãdem">eandem</expan>
              habeat FH
                <lb/>
              ad HE. oſtendendum eſt magnitudmis ex utriſquè AB CD ſpa­
                <lb/>
              ciis compoſitæ centrum grauitaias eſſe punctum H. ſit quidemipſi EH
                <lb/>
              utra〈que〉 ipſarum FG FK æqualis; ipſi autem FH, hocest GE
                <emph.end type="italics"/>
                <lb/>
              (ſuntenim EH GF æquales, à quibus dempta communi
                <lb/>
              GH remanent EG HF ęquales)
                <emph type="italics"/>
              ſit æqualis EL.
                <emph.end type="italics"/>
              &
                <expan abbr="quoniã">quoniam</expan>
                <lb/>
              FH eſt æqualis LE, & FK ipſi EH,
                <emph type="italics"/>
              erit & LH ipſi KH
                <lb/>
              æqualis.
                <emph.end type="italics"/>
              Cùm autem ſit FH ad HE, vt AB ad CD; ipſi
                <lb/>
              verò FH vtra〈que〉 ſit æqualis LE EG. ipſi autem HE vtra­
                <lb/>
              〈que〉 æqualis GF FK,
                <emph type="italics"/>
              erit
                <expan abbr="etiã">etiam</expan>
              ut LG ad G
                <emph.end type="italics"/>
              k,
                <emph type="italics"/>
              ita AB ad CD.
                <emph.end type="italics"/>
                <lb/>
              cùm ſit LG ad GK, vt FH ad HE;
                <emph type="italics"/>
              aupla enim est utra〈que〉
                <emph.end type="italics"/>
                <lb/>
              EG GK
                <emph type="italics"/>
              utriuſ〈que〉
                <emph.end type="italics"/>
              FH HE.
                <emph type="italics"/>
              At uerò circa punctum
                <emph.end type="italics"/>
              E
                <emph type="italics"/>
              ipſius
                <lb/>
              AB,
                <emph.end type="italics"/>
              quod eſt eius centrum grauitatis,
                <emph type="italics"/>
              ex utra〈que〉 parte lineæ LG,
                <lb/>
              ipſi LG æquidistantes ducantur
                <emph.end type="italics"/>
              MO QN, quæ æqualiter ab
                <lb/>
              LG diſtent, ductis ſcilicet MQ ON æquidiſtantibus, ſint
                <lb/>
              LM LQ GO GN inter ſe æquales;
                <emph type="italics"/>
              ita ut ſpacium MN ſit
                <lb/>
              ſpacio AB æquale
                <emph.end type="italics"/>
              : quod quidem applicatum eſt ad
                <expan abbr="lineã">lineam</expan>
              LG.
                <lb/>
                <arrow.to.target n="marg201"/>
                <emph type="italics"/>
              erit uti〈que〉 ipſius MN centrum grauitatis punctum E.
                <emph.end type="italics"/>
              cùm ſit
                <expan abbr="pũ-ctum">pun­
                  <lb/>
                ctum</expan>
              E in medio lineæ LG, quæ bifariam diuidit latera
                <lb/>
              oppoſita MQ ON parallelogrammi MN.
                <emph type="italics"/>
              compleatur ita­
                <lb/>
              〈que〉 ſpacium NX. habebit quidem MN. ad NX proportionem,
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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