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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N10BBF" type="main">
              <s id="N10BF9">
                <pb xlink:href="077/01/024.jpg" pagenum="20"/>
              ſenſerit, demonſtrationeſquè tantùm de planis
                <expan abbr="cõcludere">concludere</expan>
              exi
                <lb/>
              ſtimauerit, vel de ſolidis, non autem
                <expan abbr="quibuſcũ〈que〉">quibuſcun〈que〉</expan>
              , ſed vel de
                <lb/>
              rectilineis, vel de homogeneis tantùm, & de ijs, quæ inter ſe
                <lb/>
              ſunt eiuſdem ſpeciei, longè aberrat à ſcopo, & mente Archi­
                <lb/>
              medis. </s>
              <s id="N10C0F">etenim in his ſemper loquitur. </s>
              <s id="N10C11">vel de grauibus ſimpli
                <lb/>
              citer, veluti in primis tribus theorematibus; vel de magnitu
                <lb/>
              dinibus, vt in reliquis quin〈que〉 quod quidem nomen tam
                <lb/>
              planis, quàm ſolidis quibuſcun〈que〉 eſt
                <expan abbr="cõmune">commune</expan>
              , vt etiam ij,
                <lb/>
              qui parùm in Mathematicis verſati ſunt, ſatis norunt. </s>
              <s id="N10C1F">ſicu­
                <lb/>
              ti etiam Euclides, dum quinti libri propoſitiones pertracta­
                <lb/>
              uit, quantitatem continuam ſub nomine magnitudinis
                <expan abbr="cõ">com</expan>
                <lb/>
              prehendit. </s>
              <s id="N10C2B">quòd
                <expan abbr="autẽ">autem</expan>
              nomen grauis ſit
                <expan abbr="cõmune">commune</expan>
              , iam ſatis
                <lb/>
              per ſe conſtat. </s>
              <s id="N10C37">Perſpicuum eſt igitur priora hæc octo Theo
                <lb/>
              remata communia eſſe, tam planis, quàm ſolidis. </s>
              <s id="N10C3B">ac non ſo­
                <lb/>
              lùm ſolidis eiuſdem ſpeciei, & homogeneis, verùm etiam ſoli
                <lb/>
              dis diuerſæ ſpeciei, & hęterogeneis, vt ſuo loco manifeſtum
                <lb/>
              fiet. </s>
              <s id="N10C43">Iactoquè hoc fundamento, quod Archimedes in
                <expan abbr="duob^{9}">duobus</expan>
                <lb/>
              propoſitionibus, ſexta nempè, & ſeptima demonſtrauit; in o­
                <lb/>
              ctaua tanquam corrollarium colligit. </s>
              <s id="N10C49">Deinceps peculiariter
                <lb/>
              pertractat de centro grauitatis planorum, nec amplius plana
                <lb/>
              nominat magnitudinis nomine, ſed proprijs cuiuſcun〈que〉
                <lb/>
              nominibus; vt parallelogrammi, trianguli, & aliorum huiuſ­
                <lb/>
              modi. </s>
              <s id="N10C53">& in hac parte deſcendit ad particularia. </s>
              <s id="N10C55">quippè cùm
                <lb/>
              & ſi non actu fortaſſe, virtute tamen cuiuſlibet particularis
                <lb/>
              plani centrum grauitatis nos doceat. </s>
              <s id="N10C5B">in primo enim libro
                <lb/>
              ſat ſi bi viſum eſt oſtendiſſe centra grauitatum
                <expan abbr="triangulorũ">triangulorum</expan>
              ,
                <lb/>
              ac parallelogrammorum, ex quibus cæterarum figurarum,
                <lb/>
              veluti pentagoni, hexagoni, & aliorum ſimilium centra gra­
                <lb/>
              uitatis inueſtigare non admodum erit difficile. </s>
              <s id="N10C65">ſiquidem hu
                <lb/>
              iuſmodi plana in triangula diuiduntur. </s>
              <s id="N10C69">vt in ſine primi li­
                <lb/>
              bri attingemus. </s>
              <s id="N10C6D">In ſecundo autem libro altiùs ſe extollit, &
                <lb/>
              moro ſuo circa ſubtiliſſima theoremata verſatur; nempè cir
                <lb/>
              ca centrum grauitatis conice ſectionis, quæ parabole nun­
                <lb/>
              cupatur. </s>
              <s id="N10C75">nonnullaquè præmittit theoremata, quæ ſunt tan­
                <lb/>
              quam præuie diſpoſitiones ad inueſtigandam demonſtra­
                <lb/>
              tionem centri grauitatis in parabole. </s>
              <s id="N10C7B">Ita〈que〉 perſpicuum eſt,
                <lb/>
              Archimedem propriè elementa mechanica tradere. </s>
              <s id="N10C7F"/>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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