Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <p>
              <s id="s.000439">
                <pb pagenum="21" xlink:href="023/01/049.jpg"/>
              diuidendo figura ſolida inſcripta ad dictam exceſſus par­
                <lb/>
              tem, ut
                <foreign lang="grc">τε</foreign>
              ad c
                <foreign lang="grc">π.</foreign>
              & quoniam à cono, ſeu coni portione,
                <lb/>
              cuius grauitatis centrum eſt e, aufertur figura inſcripta,
                <lb/>
              cuius centrum
                <foreign lang="grc">ρ·</foreign>
              reſiduæ magnitudinis compoſitæ cx par
                <lb/>
              te exceſſus, quæ intra coni, uel coni portionis ſuperficiem
                <lb/>
              continetur, centrum grauitatis erit in linea e protracta,
                <lb/>
              atque in puncto t. </s>
              <s id="s.000440">quod eſt abſurdum. </s>
              <s id="s.000441">
                <expan abbr="cõſtat">conſtat</expan>
              ergo
                <expan abbr="centrũ">centrum</expan>
                <lb/>
              grauitatis coni, uel coni portionis, eſſe in axe bd: quod de
                <lb/>
              monſtrandum propoſuimus.</s>
            </p>
            <p type="head">
              <s id="s.000442">THEOREMA XI. PROPOSITIO XV.</s>
            </p>
            <p type="main">
              <s id="s.000443">Cuiuslibet portionis ſphæræ uel ſphæroidis,
                <lb/>
              quæ dimidia maior non ſit:
                <expan abbr="itemq́;">itemque</expan>
              cuiuslibet por
                <lb/>
              tionis conoidis, uel abſciſſæ plano ad axem recto,
                <lb/>
              uel non recto, centrum grauitatis in axe con­
                <lb/>
              ſiſtit.</s>
            </p>
            <p type="main">
              <s id="s.000444">Demonſtratio ſimilis erit ei, quam ſupra in cono, uel co
                <lb/>
              ni portione attulimus, ne toties eadem fruſtra iterentur.</s>
            </p>
            <figure id="id.023.01.049.1.jpg" xlink:href="023/01/049/1.jpg" number="38"/>
          </chap>
        </body>
      </text>
    </archimedes>
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