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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N10694" type="main">
              <s id="N10739">
                <pb xlink:href="077/01/016.jpg" pagenum="12"/>
              ſphæram aliquam, putà ligneam, vel alterius (ſimilaris
                <expan abbr="tamẽ">tamen</expan>
              )
                <lb/>
              naturæ intuenti; ſiquidem eius medium erit centrum magni­
                <lb/>
              tudinis, & centrum figuræ; idemquè punctum erit ipſius cen­
                <lb/>
                <arrow.to.target n="marg9"/>
              trum grauitatis; circa quod vndi〈que〉 partes æ〈que〉ponderant.
                <lb/>
              & quoniam hæc ſphæra non eſt in centro mundi; propterea
                <lb/>
              tria tantùm centra ſimul conuenient. </s>
              <s id="N1075D">ſi verò ſphęra non ſimi­
                <lb/>
              laris, ſed diſſimilaris fuerit, veluti altera ipſius meditate plum­
                <lb/>
              bea, altera verò medietate lignea exiſtente, tunc eius medium
                <lb/>
              erit quippe centrum magnitudinis, & figurę, grauitatis verò
                <lb/>
              centrum nequaquam. </s>
              <s id="N10767">Nam partes vndi〈que〉 circa medium æ­
                <lb/>
              〈que〉ponderare non poſſent; ſed grauitatis centrum ad grauio­
                <lb/>
              rem partem, nimirum plumbeam declinabit. </s>
              <s id="N1076D">& hoc modo
                <lb/>
              duo tantùm centra inter ſe conuenient. </s>
              <s id="N10771">vt etiam (modo ta­
                <lb/>
              men diuerſo) accidit ellipſi; cuius centrum eſt centrum figu­
                <lb/>
              rę, ſiquidem per ipſum tranſeunt diametri; idemquè
                <expan abbr="punctũ">punctum</expan>
                <lb/>
                <arrow.to.target n="marg10"/>
              eſt ipſius centrum grauitatis. </s>
              <s id="N10781">quod cùm non ſit propriè me­
                <lb/>
              dium figuræ, non erit quo〈que〉 centrum magnitudinis.
                <expan abbr="mediū">medium</expan>
                <lb/>
              enim figuræ propriè circulo, ac ſphæræ tantùm competit.
                <lb/>
              Quare duo centra hoc quo〈que〉 modo ſimul tantùm conue­
                <lb/>
              nient. </s>
              <s id="N1078F">In figura paraboles recta linea terminatę centrum gra
                <lb/>
                <arrow.to.target n="marg11"/>
              uitatis intra figuram reperitur, quippè quod ne〈que〉 centrum
                <lb/>
              figuræ, ne〈que〉 centrum magnitudinis eſſe poteſt. </s>
              <s id="N10799">etenim in
                <lb/>
              hac figura non poteſt dari medium, vnde ne〈que〉 centrum ma
                <lb/>
              gnitudinis dabitur, & quoniam in parabole diametri ſunt in
                <lb/>
              terſe ęquidiſtantes, vt ex primo libro conicorum Apollonij
                <lb/>
              Pergei conſtat; ne〈que〉 etiam centrum figuræ dabitur. </s>
              <s id="N107A3">ſic igi­
                <lb/>
              tur centra nullo modo conuenient. </s>
            </p>
            <p id="N107A7" type="margin">
              <s id="N107A9">
                <margin.target id="marg7"/>
                <emph type="italics"/>
              lib. </s>
              <s id="N107AF">de cælo
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N107B3" type="margin">
              <s id="N107B5">
                <margin.target id="marg8"/>
                <emph type="italics"/>
              lib. </s>
              <s id="N107BB">de iis
                <lb/>
              quę uehun
                <lb/>
              tur in aqua
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N107C3" type="margin">
              <s id="N107C5">
                <margin.target id="marg9"/>
              16
                <emph type="italics"/>
              Federi­
                <lb/>
              ci
                <expan abbr="cõm">comm</expan>
              . de
                <lb/>
              centro gra
                <lb/>
              uitatis ſoli
                <lb/>
              dorum.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N107DA" type="margin">
              <s id="N107DC">
                <margin.target id="marg10"/>
              4.
                <emph type="italics"/>
              Fed. </s>
              <s id="N107E3">com
                <lb/>
              man. </s>
              <s id="N107E7">de cen
                <lb/>
              tro graui­
                <lb/>
              tatis ſolido
                <lb/>
              rum.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N107F1" type="margin">
              <s id="N107F3">
                <margin.target id="marg11"/>
                <emph type="italics"/>
              in ſecundo
                <lb/>
              libro huius
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N107FD" type="main">
              <s id="N107FF">Nouiſſe quo〈que〉 oportet centrum grauitatis communius
                <lb/>
              eſſe, in pluribuſquè reperiri, quàm centra magnitudinis, & fi­
                <lb/>
              guræ: centrum verò figuræ communius eſſe centro magnitu­
                <lb/>
              dinis.
                <expan abbr="Nã">Nam</expan>
              quodlibet corpus, & quęlibet figura neceſſe eſt, vt habeat
                <lb/>
                <expan abbr="cẽtrũ">centrum</expan>
              grauitatis intrinſecùs, vel extrinſecùs. </s>
              <s id="N10810">intrinſecùs vt
                <lb/>
                <expan abbr="cẽtrũ">centrum</expan>
              grauitatis alicuius corporis regularis, quod eſt in medio
                <lb/>
              figuræ, vel alicuius figuræ vt A; cuius centrum grauitatis ſit
                <lb/>
              in ambitu figuræ, vt in puncto B; extrinſecùs verò vt figura
                <lb/>
              C, cuius centrum grauitatis extrinſecus ſit, vt in D; quod
                <lb/>
              eſt intelligendum, ſi graue C in centrum mundi tenderet, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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