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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N11028" type="main">
              <s id="N110D3">
                <pb xlink:href="077/01/037.jpg" pagenum="33"/>
                <expan abbr="proportionẽ">proportionem</expan>
              habebit YK ad KV, quam ZL ad LX. Quare
                <lb/>
              AN PC, & ER TG ſecundùm eandem proportionem æ­
                <lb/>
              〈que〉ponderabunt. </s>
              <s id="N110FE">quod quidem contingit ex ſimilitudine fi­
                <lb/>
              gurarum, & ex centris grauitatum KL ſimiliter poſitis, quę
                <lb/>
              quidem magnitudines, ſi non eſſent ſimiles, diuiſę
                <expan abbr="quidẽ">quidem</expan>
              per
                <lb/>
              centrum grauitatis, partes vti〈que〉 ę〈que〉ponderarent; non ta­
                <lb/>
              men ſemper ſecundùm eandem proportionem. </s>
              <s id="N11108">quod tamen
                <lb/>
              ſemper figuris ſimilibus (cùm in ipſis grauitatis centra ſint ſi
                <lb/>
              militer poſita) contingit; dummodo (vt dictum eſt) diui­
                <lb/>
              dantur. </s>
              <s id="N11110">Vnde conſtat, quam ſit conueniens grauitatis centra
                <lb/>
              in figuris hac ratione eſſe conſtituta. </s>
              <s id="N11114">ex quibus omnibus per
                <lb/>
              ſpicuum eſt, centra grauitatis debere in figuris ſimilibus eſſe ſi
                <lb/>
              militer poſita. </s>
              <s id="N1111A">vt Archimedes in
                <expan abbr="pręcedẽti">pręcedenti</expan>
              poſtulato pręmiſit. </s>
            </p>
            <p id="N1111C" type="margin">
              <s id="N1111E">
                <margin.target id="marg18"/>
              4
                <emph type="italics"/>
              ſexti
                <emph.end type="italics"/>
                <lb/>
              16
                <emph type="italics"/>
              quinti
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1112E" type="margin">
              <s id="N11130">
                <margin.target id="marg19"/>
              20
                <emph type="italics"/>
              ſexti
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N11139" type="margin">
              <s id="N1113B">
                <margin.target id="marg20"/>
              11
                <emph type="italics"/>
              quinti
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N11144" type="margin">
              <s id="N11146">
                <margin.target id="marg21"/>
              16
                <emph type="italics"/>
              quinti
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.037.1.jpg" xlink:href="077/01/037/1.jpg" number="17"/>
            <p id="N11153" type="head">
              <s id="N11155">VIII.</s>
            </p>
            <p id="N11157" type="main">
              <s id="N11159">Si magnitudines ex æqualibus diſtantijs æ〈que〉­
                <lb/>
              ponderant, & ipſis æquales ex ijſdem diſtantijs æ­
                <lb/>
              〈que〉ponderabunt. </s>
            </p>
            <p id="N1115F" type="head">
              <s id="N11161">SCHOLIVM.</s>
            </p>
            <p id="N11163" type="main">
              <s id="N11165">Hoc eſt perſpicuum,
                <expan abbr="nã">nam</expan>
                <lb/>
                <arrow.to.target n="fig15"/>
                <lb/>
              ſi magnitudines AB ex di­
                <lb/>
              ſtantijs CA CB ę〈que〉pon­
                <lb/>
              derant: ſit autem D ipſi A
                <lb/>
              ęqualis, & E ipſi B.
                <expan abbr="auferã">auferam</expan>
                <lb/>
              turquè magnitudines AB à
                <lb/>
              linea AB, ipſarumquè loco ponatur D in A, & E in B, ma
                <lb/>
              gnitudines DE ſimiliter
                <expan abbr="ę〈que〉pondęrabũt">ę〈que〉pondęrabunt</expan>
              . qua ratione enim
                <lb/>
              magnitudines AB inter ſeſe ę〈que〉ponderare dicuntur; eadem
                <lb/>
              prorſus, & magnitudines DE ex ijſdem diſtantijs ę〈que〉pon
                <lb/>
              derabunt. </s>
              <s id="N1118C">quandoquidem omnia data ſunt paria. </s>
              <s id="N1118E">illud ta­
                <lb/>
              men non eſt pretereundum, nimirum non oportere DE ipſis
                <lb/>
              AB ęquales eſſe in magnitudine, ſed in grauitate. </s>
              <s id="N11194">poteſt enim </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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