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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N12A5C" type="main">
              <s id="N12A6C">
                <pb xlink:href="077/01/080.jpg" pagenum="76"/>
              menſurabiles; eadem prorſus demonſtratio idem concludet.
                <lb/>
              quæ quidem omnia in ſe〈que〉nti quo〈que〉 propoſitione
                <expan abbr="conſi-derãda">conſi­
                  <lb/>
                deranda</expan>
              occurrunt. </s>
              <s id="N12A9A">Vnde perſpicuum eſt has Archime dis pro
                <lb/>
              poſitiones, ac demonſtrationes vniuerſaliſſimas eſſe, ar〈que〉 o­
                <lb/>
              mnibus, & quibuſcun〈que〉 magnitudinibus conuenientes. </s>
            </p>
            <p id="N12AA0" type="margin">
              <s id="N12AA2">
                <margin.target id="marg68"/>
                <emph type="italics"/>
              reſpice
                <expan abbr="fi-gurã">fi­
                  <lb/>
                guram</expan>
              ſepti­
                <lb/>
              mæ propoſi
                <lb/>
              tionis Ar­
                <lb/>
              chimedis.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N12AB6" type="main">
              <s id="N12AB8">Iacto hoc pręcipuo, ac pręſtantiſſimo mechanico funda­
                <lb/>
              mento; in ſe〈que〉nti propoſitione colligit ex hoc Archimedes,
                <lb/>
              quomodo ſe habent centra grauitatis magnitudinis diuiſæ. </s>
            </p>
            <p id="N12ABE" type="head">
              <s id="N12AC0">PROPOSITIO. VIII.</s>
            </p>
            <p id="N12AC2" type="main">
              <s id="N12AC4">Si ab aliqua magnitudine magnitudo aufera­
                <lb/>
              tur; quæ non habeat idem centrum cum tota; re­
                <lb/>
              liquæ magnitudinis centrum grauitatis eſt in re­
                <lb/>
              cta linea, quæ coniungit centra grauitatum to tius
                <lb/>
              magnitudinis, & ablatæ, ad eam partem produ­
                <lb/>
              cta, vbi eſt centrum to tius magnitudinis, ita vt aſ­
                <lb/>
              ſumpta aliqua ex producta, quæ coniungit
                <expan abbr="cẽtra">centra</expan>
                <lb/>
              prædicta eandem habeat proportionem ad eam,
                <lb/>
              quæ eſt inter centra, quam habet grauitas magni­
                <lb/>
              tudinis ablatæ ad grauitatem reſiduæ, centrum e­
                <lb/>
              rit terminus aſſumptæ. </s>
            </p>
            <p id="N12ADE" type="main">
              <s id="N12AE0">
                <emph type="italics"/>
              Sit alicuius magnitudinis AB centrum grauitatis C. auferatur­
                <lb/>
              què ex AB magnitudo AD; cuius centrum grauitatis ſit E. coniuncta
                <lb/>
              verò EC, &
                <emph.end type="italics"/>
              ex parte C
                <emph type="italics"/>
              producta, aſſumatur CF, quæ ad CE
                <expan abbr="eã">eam</expan>
                <lb/>
              dem habeat proportionem, quam habet magnitudo AD ad DG. osten­
                <lb/>
              dendum est, magnitudinis DG centrumgrauitatis eſſe punctum F.
                <expan abbr="Nõ">non</expan>
                <lb/>
              ſit autem; ſed, ſi fieri potest, ſit punctum H. Quoniam igitur magnitudi­
                <lb/>
              nis AD centrum grauitatis est punctum E; magnitudinis verò DG
                <lb/>
              eſt punctum H; magnitudinis ex vtriſ〈que〉 magnitudinibus AD DG,
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg69"/>
                <emph type="italics"/>
              compoſitæ centrum grauitatis erit in linea EH, ita diuiſa, ut pirtes ipſius
                <lb/>
              permutatim eandem
                <expan abbr="habeãt">habeant</expan>
              proportionem, vt magnitudines. </s>
              <s id="N12B11">Quare non
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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