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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N14BB7" type="main">
              <s id="N14BBD">
                <pb xlink:href="077/01/131.jpg" pagenum="127"/>
                <emph type="italics"/>
              quam
                <emph.end type="italics"/>
              habet QN ad NP, hoceſt
                <emph type="italics"/>
              LG ad GK. habet autem &
                <lb/>
              AB ad CD proportionem ipſius LG ad G
                <emph.end type="italics"/>
              K.
                <emph type="italics"/>
              ut igitur AB ad
                <emph.end type="italics"/>
                <arrow.to.target n="marg202"/>
                <lb/>
                <emph type="italics"/>
              CD, ſic est MN ad NX. & permutando
                <emph.end type="italics"/>
              vt AB ad MN, ita
                <lb/>
              CD ad NX.
                <emph type="italics"/>
              æquale autem est AB ipſi MN, erit igitur & CD
                <lb/>
              ipſi NX æquale. </s>
              <s id="N14C79">Centrum autem grauitatisipſius
                <emph.end type="italics"/>
              NX
                <emph type="italics"/>
              est
                <expan abbr="punotũ">punotum</expan>
                <lb/>
              F.
                <emph.end type="italics"/>
              propterea quod eſt in medio lineæ GK,
                <arrow.to.target n="marg203"/>
              parallelo­
                <lb/>
              grammi NX oppoſita latera ON XP bifariam ſecat.
                <emph type="italics"/>
              &
                <lb/>
              quoniam æqualis eſt LH ipſi HK, totaquè LK appaſita latera
                <emph.end type="italics"/>
              MQ
                <lb/>
              XP
                <emph type="italics"/>
              bifariam diuidit, totius PM
                <expan abbr="centrũ">centrum</expan>
              grauitatis erit punctum Hr
                <lb/>
              Verùm ipſum MP æquale est utriſ〈que〉 MN NX,
                <emph.end type="italics"/>
              quorum, cùm
                <lb/>
              ſint centra grauitatis EF, æ〈que〉pondera bunt ſpacia MN
                <lb/>
              NX ex diſtantijs FH HE. ſi igitur loco parallelo gram mo­
                <lb/>
              rum MN NX ponatur AB in E, & CD in F, cùm ſit
                <lb/>
              AB ipſi MN, & CD ipſi NX æquale; ſpacia AB CD
                <arrow.to.target n="marg204"/>
                <lb/>
              diſtantijs FH HE æ〈que〉ponderabunt.
                <emph type="italics"/>
              ac propterea magnitudi
                <lb/>
              nis ex utriſ〈que〉 AB CD
                <emph.end type="italics"/>
              compoſitæ
                <emph type="italics"/>
              centrum grauitatis
                <expan abbr="eſtpunctũ">eſtpunctum</expan>
                <lb/>
              H.
                <emph.end type="italics"/>
              quod quidem propoſitum fuit. </s>
            </p>
            <p id="N14CC7" type="margin">
              <s id="N14CC9">
                <margin.target id="marg201"/>
              2.
                <emph type="italics"/>
              cor.
                <emph.end type="italics"/>
              9.
                <lb/>
                <emph type="italics"/>
              primihui
                <emph.end type="italics"/>
              ^{9}.</s>
            </p>
            <p id="N14CDA" type="margin">
              <s id="N14CDC">
                <margin.target id="marg202"/>
              16.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N14CE5" type="margin">
              <s id="N14CE7">
                <margin.target id="marg203"/>
              2.
                <emph type="italics"/>
              cor.
                <emph.end type="italics"/>
              9.
                <lb/>
                <emph type="italics"/>
              primihui
                <emph.end type="italics"/>
              ^{9}.</s>
            </p>
            <p id="N14CF8" type="margin">
              <s id="N14CFA">
                <margin.target id="marg204"/>
              8.
                <emph type="italics"/>
              poſthui
                <emph.end type="italics"/>
              ^{9}</s>
            </p>
            <p id="N14D04" type="head">
              <s id="N14D06">SCHOLIVM.</s>
            </p>
            <p id="N14D08" type="main">
              <s id="N14D0A">Cùm ſit intentio Archimedis non nulla pertractare ad pa­
                <lb/>
              rabolen ſpectantia; primùm iacit fundamentum, parabolas
                <lb/>
              nempe ita ſe habere, vt permutatim diſtantiæ, ex quibus
                <lb/>
              ſuntcollocatæ, ſe habent. </s>
              <s id="N14D12">&
                <expan abbr="quãuis">quamuis</expan>
              vniuerſim, atquè in om­
                <lb/>
              nibus mutuam hanc conuenientiam ex dictis ex primo libro
                <lb/>
              depræhendere liceat, hoc tamen loco peculiariter voluitad
                <lb/>
              huberiorem do ctrinam id ipſum in parabolis
                <arrow.to.target n="marg205"/>
                <lb/>
              & quamuis in primo libro dixerit Archimedes magnitudi­
                <lb/>
              nes æ〈que〉ponderare, quando ita ſe habent inter ſe, ut diſtan­
                <lb/>
              tiæ permutatim ſe habent; hocautem loco quærit
                <expan abbr="centrũ">centrum</expan>
              gra
                <lb/>
              uitatis magnitudinis ex parabolis compoſitæ; non ſunt
                <expan abbr="tamẽ">tamen</expan>
                <lb/>
              propoſitiones diuerſæ. </s>
              <s id="N14D33">nam & in primo libro dum in demon
                <lb/>
              ſtratio ne quærit proportionem diſtantiarum, oſtendit, vbi
                <lb/>
              nam ſit centrum grauitatis magnitudinum. </s>
              <s id="N14D39">quare
                <expan abbr="quãnis">quannis</expan>
              pro
                <lb/>
              poſitiones videantur diuerſæ, non ſunt tamen diuerſæ, ete­
                <lb/>
              nim vt poſt tertiam primi libri propoſitionem adnotauimus, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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