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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N1053F" type="main">
              <s id="N10541">
                <pb xlink:href="077/01/013.jpg" pagenum="9"/>
              uertitur. </s>
            </p>
            <p id="N10553" type="head">
              <s id="N10555">EIVSDEM ALIA DEFINITIO.</s>
            </p>
            <p id="N10557" type="main">
              <s id="N10559">Centrum grauitatis vniuſcuiuſ〈que〉 ſolidæ figuræ eſt
                <expan abbr="punctũ">punctum</expan>
                <lb/>
              illud intra poſitum, circa quod vndi〈que〉 partes ęqualium mo
                <lb/>
              mentorum conſiſtunt. </s>
              <s id="N10563">ſi.
                <expan abbr="n.">enim</expan>
              per tale centrum ducatur
                <expan abbr="planũ">planum</expan>
              fi
                <lb/>
              guram quomodo cun〈que〉 ſecans, ſemper in partes æ〈que〉ponde
                <lb/>
              rantes ipſam diuidet. </s>
            </p>
            <p id="N10571" type="main">
              <s id="N10573">Hanc poſtremam definitionem, ſeu potiùs deſcriptionem
                <lb/>
              tradidit Federicus Commandinus in libro de centro grauita­
                <lb/>
              tis ſolidorum. </s>
              <s id="N10579">ex quipus ſanè definitionibus eluceſcit natura,
                <lb/>
                <arrow.to.target n="fig2"/>
                <lb/>
              at〈que〉 facultas
                <expan abbr="cẽtri">centri</expan>
              grauitatis.
                <lb/>
              vt ſi punctum A fuerit
                <expan abbr="centrũ">centrum</expan>
                <lb/>
              grauitatis corporis BC, tunc
                <lb/>
              ex Pappi ſententia, ſi BC
                <expan abbr="ſuſpẽ">ſuſpem</expan>
                <lb/>
              datur ex A, magnitudo BC
                <lb/>
              eadem, qua reperitur, diſpo­
                <lb/>
              ſitione locata manebit; ne〈que〉
                <lb/>
              partes ullas ipſius corporis, vt quę ſunt ad
                <lb/>
                <arrow.to.target n="fig3"/>
                <lb/>
              BC, circumuerti, ne〈que〉 omnino ſuum
                <lb/>
              mutare ſitum depræhendetur. </s>
              <s id="N105A5">ſi verò vt
                <lb/>
                <expan abbr="Cõmandino">Commandino</expan>
              placuit, A fuerit centrum
                <lb/>
              grauitatis magnitudinis BCD, eadem­
                <lb/>
              què per punctum A vtcun〈que〉
                <expan abbr="ſecũdùm">ſecundùm</expan>
                <lb/>
              rectitudinem diuidatur, veluti per EAF.
                <lb/>
              tunc pars EBF ipſi ECDF æ〈que〉ponde­
                <lb/>
              rabit, quamuis EBF, & ED ſint magni
                <lb/>
              tudines inæquales. </s>
              <s id="N105B8">ſæpenumero enim e­
                <lb/>
              uenire ſolet, vt in diuiſione figuræ per eius centrum graui­
                <lb/>
              tatis ipſa aliquando in partes diuidatur æquales, ali­
                <lb/>
              quando in partes inæquales: vt ſuo loco
                <arrow.to.target n="marg5"/>
                <lb/>
              ſemper tamen in partes diuiditur hinc inde æ〈que〉pon­
                <lb/>
              derantes; non tamen ſeorſum conſtitutas, ab inuicen
                <lb/>
              què ſeiunctas, & veluti ad æquilibrium examinatas; vt pu­
                <lb/>
              ta ſi EBF decem pondo ponderet; ED quo〈que〉 totidem
                <lb/>
              pependiſſe oporteat. </s>
              <s id="N105CD">res quippe non ſic ſe habet, ſed cas eſſe
                <lb/>
              in eo ſitu æ〈que〉ponderantes, in quo reperiuntur; vt neutra </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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