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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N1292B" type="main">
              <s id="N12935">
                <pb xlink:href="077/01/077.jpg" pagenum="73"/>
              his, vel de rectilineis tantùm demonſtrationes attuliſſe (vt
                <expan abbr="nõ-nulli">non­
                  <lb/>
                nulli</expan>
              fortaſſe falsò exiſtimarunt) intelligeremus; ita vt ex Ar­
                <lb/>
              chimedis demonſtrationibus non ſit adhuc vniuerſaliter de­
                <lb/>
              monſtratum hoc pręcipuum fundamentum; nempè magni­
                <lb/>
              tudines ex diſtantijs permutatim
                <expan abbr="proportionẽ">proportionem</expan>
              habentibus, vt
                <lb/>
              ipſarum grauitates, ę〈que〉ponderare; in hoc certè rationes ab
                <lb/>
              Archimede allatas, ipſarum què demonſtrationum vim mini­
                <lb/>
              mè percipiemus. </s>
              <s id="N12951">Quapropter ea, quæ demonſtrauit, omni­
                <lb/>
              bus magnitudinibus vniuerſaliter competere ipſum voluiſſe
                <lb/>
              nullatenus eſt dubitandum. </s>
              <s id="N12957">Ne〈que〉 enim, vt perfectè, & vni­
                <lb/>
              uerſaliterſciamus, magnitudines ç〈que〉ponderare ex diſtantijs
                <lb/>
              permutatim proportionem habentibus, vt ipſarum grauita­
                <lb/>
              tes, alijs, quàm pręcedentibus propoſitionibus indigemus.
                <lb/>
              In hoc enim fundamento demonſtrando minimè diminu­
                <lb/>
              tus extitit Archimede. </s>
              <s id="N12963">Nam ſi ad propoſitiones ab ipſo alla­
                <lb/>
              tas, pręcipuèquè ad vim demonſtrationum reſpiciamus, ſiuè
                <lb/>
              magnitudines intelligantur eiuldem ſpeciei, ſiue diuerſę, ſi­
                <lb/>
              ue homogeneę, ſiue heterogeneę, ſiue planę, ſiue ſolidę, &
                <lb/>
              hę quidem, ſiue rectilineę, ſiue quom odocun〈que〉 mixtę; ni­
                <lb/>
              hilominus demonſtrationes idem prorſus concludent, ita vt
                <lb/>
              Archimedes non de aliquibus magnitudimbus tantùm de­
                <lb/>
              monſtrationes attulerit; ſed de omnibus prorſus demonſtra­
                <lb/>
              uerit. </s>
              <s id="N12975">In his enim Archimedes non ad magnitudines tantùm,
                <lb/>
              verùm ad magnitudinum grauitates potiſſimùm reſpexit.
                <lb/>
              quandoquidem loco grauium magnitudines nominat; vt
                <lb/>
              poſt quartam huius propoſitionem adnotauimus. </s>
              <s id="N1297D">quod qui­
                <lb/>
              dem facilè ex verbis ipſius rectè intellectis apparere poteſt.
                <expan abbr="Nã">Nam</expan>
                <lb/>
              in quærta propoſitione cùm inquit,
                <emph type="italics"/>
              ſi duæ fuerint magnitudines
                <lb/>
              æquales
                <emph.end type="italics"/>
              , vt antea diximus, intelligendum eſt eas ęquales
                <lb/>
              eſſe grauitate. </s>
              <s id="N12991">quod non ſolùm ex eius demonſtrationeli­
                <lb/>
              〈que〉t, verùm etiam ex modo lo〈que〉ndi, quo vſus eſt Archime­
                <lb/>
              des in alijs propoſitionibus. </s>
              <s id="N12997">In quinta enim propoſitione,
                <lb/>
              quę eiuſdem eſt cum quarta ordinis, & naturę, in quit;
                <lb/>
                <emph type="italics"/>
              Sitrium magnitudinum centra grauitatis in recta linea fuerint poſi­
                <lb/>
              ta, & magnitudines æqualem habuerint grauitatem.
                <emph.end type="italics"/>
              ſimlli­
                <lb/>
              ter poſt quintam demonſtrationem bis quoquè eodem v­
                <lb/>
              titur lo〈que〉ndi modo, nempè cùm adhuc proponit </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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