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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N111C8" type="main">
              <s id="N11263">
                <pb xlink:href="077/01/040.jpg" pagenum="36"/>
              poſſumus puncta EG, inter quę tota recta linea EG extra
                <lb/>
              figuram cadet. </s>
              <s id="N1126D">vel fumere poſſumus puncta FG, ita vt rectę
                <lb/>
              lineę FG pars EG extra figuram cadat. </s>
              <s id="N11271">figurę igitur, quæ
                <lb/>
              ad eandem partem ſunt concauæ, illę ſunt, quę ſinuoſitatem,
                <lb/>
              concauitatemquè ſuam habent ſemper interiorem ipſius fi­
                <lb/>
              gurę partem reſpicientem. </s>
              <s id="N11279">Harum què rectè ſupponit Archi­
                <lb/>
              medes centrum grauitatis ſemper eſſe intra ipſam figuram.
                <lb/>
              ita vt ne〈que〉 centrum eſſe poſſit in ambitu ipſius figurę ete­
                <lb/>
              nim ſi extra figuram, ſiue in ambitu ipſius eſſe poſſet, num­
                <lb/>
              quam circa centrum grauitatis partes figurę vndiquè
                <expan abbr="ę〈que〉põderarent">ę〈que〉pon
                  <lb/>
                  <arrow.to.target n="marg22"/>
                derarent</expan>
              : ne〈que〉 facta ex grauitatis centro ſuſpenſione figura
                <lb/>
              vbicum〈que〉, & in omni ſitu maneret. </s>
              <s id="N1128F">quod ramen ex ratione
                <lb/>
              centri grauitatis efficere deberet. </s>
              <s id="N11293">tota nimirum figura ex vna
                <lb/>
              eſſet parte, & ex altera nihil eſſet, quod ipſi figurę ę〈que〉ponde
                <lb/>
              rare poſſet. </s>
              <s id="N11299">Neceſſe eſt igitur centrum grauitatis cuiuſlibet fi­
                <lb/>
              gurę ad eandem partem concauę eſſe in ſpacio à figurę ambi
                <lb/>
              tu contento. </s>
              <s id="N1129F">vt figurę AB
                <lb/>
                <arrow.to.target n="fig17"/>
                <lb/>
              centrum grauitatis erit in­
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              tra ipſam, putà in C. quod
                <lb/>
              quidem non euenit ſemper
                <lb/>
              in alijs figuris, quę ſuum
                <expan abbr="cõ">com</expan>
                <lb/>
              cauitatis ambitum interio­
                <lb/>
              rem figurę partem
                <expan abbr="nõ">non</expan>
              reſpi­
                <lb/>
              cientem habent. </s>
              <s id="N112BC">cùm varijs
                <lb/>
              modis poſſit centrum graui
                <lb/>
              tatis in figuris eſſe
                <expan abbr="collocatũ">collocatum</expan>
              .
                <lb/>
              vt ſuperius quo〈que〉 diximus.
                <lb/>
              Nam figurę D
                <expan abbr="centrũ">centrum</expan>
              gra­
                <lb/>
              uitatis erit extra ambitum fi
                <lb/>
              gurę, vt in E. figura verò F
                <lb/>
              ita ſe habere poterit, vt cen­
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              trum grauitatis ſit in perime
                <lb/>
              tro, vt in G. euenit
                <expan abbr="autẽ">autem</expan>
              aliquando vt in figura HK
                <expan abbr="centrũ">centrum</expan>
                <lb/>
              grauitatis L intra ipſam figuram reperiatur; quamuis conca­
                <lb/>
              uitates la torum interiorem partem minimè
                <expan abbr="reſpiciãt">reſpiciant</expan>
              . Sed hęc
                <lb/>
              poſſunt eſſe, & non eſſe, vt in figura M, cuius centrum extra
                <lb/>
              eſſe poteſt in N. quamuis (vt antea diximus) centrum </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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