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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N11446" type="main">
              <s id="N11448">
                <pb xlink:href="077/01/043.jpg" pagenum="39"/>
              puum, nempè magnitudinum grauitates inter ſe ita ſe habe­
                <lb/>
              re, vt diſtantiæ permutatim ex quibus ſuſpenduntur ſe
                <expan abbr="habẽt">habent</expan>
              .
                <lb/>
              primùm incipit oſtendere, quomodo ſe habeant grauia in di
                <lb/>
              ſtantijs ęqualibus poſita; primùmquè in hac prima propoſitio
                <lb/>
              ne oſtendit, ſi grauia ę〈que〉ponderant ex diſtantijs ęqualibus,
                <lb/>
              ęqualia eſſe. </s>
              <s id="N1145E">in ſe〈que〉nti verò, ſi grauia ſunt inęqualia, ex di­
                <lb/>
              ſtantijs ęqualibus nullo modo æ〈que〉ponderare oſtendet; ſed
                <lb/>
              præponderare ad maius. </s>
            </p>
            <p id="N11464" type="head">
              <s id="N11466">PROPOSITIO. II.</s>
            </p>
            <p id="N11468" type="main">
              <s id="N1146A">Inæqualia grauia ex æqualibus diſtantijs non
                <lb/>
              æ〈que〉ponderabunt, ſed præponderabit ad maius. </s>
            </p>
            <figure id="id.077.01.043.1.jpg" xlink:href="077/01/043/1.jpg" number="23"/>
            <p id="N11471" type="main">
              <s id="N11473">Sint gra­
                <lb/>
              uia inęqua­
                <lb/>
              lia AB C in
                <lb/>
              diſtantijs
                <expan abbr="ę­qualib^{9}">ę­
                  <lb/>
                qualibus</expan>
              DA
                <lb/>
              DC. ſitquè
                <lb/>
              grauius AB,
                <lb/>
              quàm C. di
                <lb/>
              co grauia AB C non ę〈que〉ponderare, ſed maius AB
                <expan abbr="deorsũ">deorsum</expan>
                <lb/>
              ferri. </s>
              <s id="N1148B">ſit B exceſſus, quo AB ſuperat C.
                <emph type="italics"/>
              ablato
                <emph.end type="italics"/>
              ita〈que〉 à ma
                <lb/>
              iori AB
                <emph type="italics"/>
              exceſſu
                <emph.end type="italics"/>
              B, reliqua grauia AC ęqualia ex diſtantijs
                <lb/>
              DA DC
                <emph type="italics"/>
              æ〈que〉ponderabunt. </s>
              <s id="N114A0">cùm æqualia grauia ex distantiis æquali-
                <emph.end type="italics"/>
                <arrow.to.target n="marg25"/>
                <lb/>
                <emph type="italics"/>
              bus æ〈que〉ponderent.
                <emph.end type="italics"/>
              ſi ita〈que〉 grauia AC ę〈que〉ponderant,
                <emph type="italics"/>
              adiecto
                <lb/>
              igitur
                <emph.end type="italics"/>
              ipſi A
                <emph type="italics"/>
              ablato
                <emph.end type="italics"/>
              B,
                <emph type="italics"/>
              præponderabit ad maius
                <emph.end type="italics"/>
              , hoc eſt ab
                <arrow.to.target n="marg26"/>
                <lb/>
              ſum tendet.
                <emph type="italics"/>
              quoniam æ〈que〉ponderantium altero
                <emph.end type="italics"/>
              nempè A
                <emph type="italics"/>
              adiectum
                <lb/>
              fuit
                <emph.end type="italics"/>
              B. Grauius igitur præponderat leuiori, ambobus in
                <expan abbr="diſtãtijs">diſtan
                  <lb/>
                tijs</expan>
              ęqualibus poſitis. </s>
              <s id="N114DC">quod demonſtrare oportebat. </s>
            </p>
            <p id="N114DE" type="margin">
              <s id="N114E0">
                <margin.target id="marg25"/>
              1
                <emph type="italics"/>
              poſt hu­
                <lb/>
              ius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N114EB" type="margin">
              <s id="N114ED">
                <margin.target id="marg26"/>
              3
                <emph type="italics"/>
              post hu­
                <lb/>
              ius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N114F8" type="head">
              <s id="N114FA">SCHOLIVM.</s>
            </p>
            <p id="N114FC" type="main">
              <s id="N114FE">Hæc duo theoremata in gręco exemplari impreſſo ſequun
                <lb/>
              tur
                <expan abbr="quidẽ">quidem</expan>
              poſtulata, & reliquis theorematibus ſunt prępoſita. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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