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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N118A1" type="main">
              <s id="N11913">
                <pb xlink:href="077/01/048.jpg" pagenum="44"/>
              gnitudine ex
                <expan abbr="plurib^{9}">pluribus</expan>
              magnitudinibus compoſita accipere po
                <lb/>
              terimus, veluti Archimedes in ſe〈que〉ntibus accipiet. </s>
            </p>
            <p id="N1191D" type="main">
              <s id="N1191F">Argumentandi modus in eſt in hac demonſtratione maxi­
                <lb/>
              ma conſideratione dignus, & huius ſcientiæ maximè pro­
                <lb/>
              prius. </s>
              <s id="N11925">cùm enim dixiſſet Archimedes poſito centro grauitatis
                <lb/>
              magnitudinis ex AB compoſitæ in puncto D, ſtatim infert.
                <lb/>
                <emph type="italics"/>
              Quoniam igitur punctum D centrum eſt grauitatis magnitudinis ex
                <lb/>
              AB compoſita, ſuſpenſo puncto D, magnitudines AB æ〈que〉pondera­
                <lb/>
              bunt.
                <emph.end type="italics"/>
              hoc eſt ſi magnitudo ex AB compoſita ſuſpendatur ex
                <lb/>
              D, manebit, vt reperitur; nec amplius in alteram partem in cli
                <lb/>
              nabit. </s>
              <s id="N11938">quod euenit ob naturam centri grauitatis, quod talis
                <lb/>
              eſt naturæ (ſicuti initio explicauimus) ut ſi graue in eius cen­
                <lb/>
              tro grauitatis ſuſtineatur, eo modo manet, quo reperitur,
                <expan abbr="dũ">dum</expan>
                <lb/>
              ſuſpenditur; parteſquè undiquè æ〈que〉ponderant. </s>
              <s id="N11944">& ob id ſi
                <lb/>
              magnitudo ex AB compoſita ſuſpendatur in eius centro gra
                <lb/>
              uitatis, manet; parteſquè AB æ〈que〉ponderant. </s>
              <s id="N1194A">ac propterea
                <lb/>
              quando in ſe〈que〉ntibus quærit Archimedes, quoniam grauia
                <lb/>
              æ〈que〉ponderare debent, tunc tantùm quærit ipſorum
                <expan abbr="cẽtrum">centrum</expan>
                <lb/>
              grauitatis, ut in ſexta, ſeptimaquè propoſitione in quit Archi­
                <lb/>
              medes magnitudines ę〈que〉ponderare ex diſtantijs, quę permu
                <lb/>
              tatim proportionem habent, ut ipſarum grauitates, in
                <expan abbr="demõ">demom</expan>
                <lb/>
              ſtratione tamen quærit, vbi nam eſt
                <expan abbr="cẽtrum">centrum</expan>
              grauitatis magni
                <lb/>
              tudinis ex vtrisquè compoſitę. </s>
              <s id="N11966">quo inuento, ſtatim neceſſariò
                <lb/>
              ſequitur, magnitudines, ſi ex ipſo centro ſuſpendantur, æ〈que〉
                <lb/>
              ponderare. </s>
            </p>
            <p id="N1196C" type="main">
              <s id="N1196E">Hinc colligere poſſumus alterum argumentandi modum,
                <lb/>
              conuerſo nempè modo, veluti in eadem figura, ſi dicamus
                <lb/>
              grauia AB ſuſpenſa ex C æ〈que〉ponderant, ſtatim inferre
                <lb/>
              poſſumus, punctum C ipſorum ſimul grauium, hoc eſt ma
                <lb/>
              gnitudinis ex ipſis AB compoſitę centrum eſſe grauitatis.
                <lb/>
              Quare ad ſe inuicem conuertuntur, hoc punctum eſt horum
                <lb/>
              grauium centrum grauitatis; ergo hęc grauia ex hoc puncto
                <lb/>
              æqùeponderant; & è conuerſo, nempè hæc grauia ex hoc pun
                <lb/>
              cto æ〈que〉ponderant, ergo idem punctum eſt ipſorum
                <expan abbr="cẽtrum">centrum</expan>
                <lb/>
              grauitatis. </s>
              <s id="N11986">ſed ad uertendum hanc ſequi
                <expan abbr="conuertibilitatẽ">conuertibilitatem</expan>
              ,
                <expan abbr="quã-do">quan­
                  <lb/>
                do</expan>
              præfatum punctum eſt in recta linea, quæ centra grauita­
                <lb/>
              tum ponderum coniungit; deinde quando hęc linea non eſt </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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