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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N114FC" type="main">
              <s id="N114FE">
                <pb xlink:href="077/01/044.jpg" pagenum="40"/>
              quia verò inter principia collocari non poſſunt; cùm ſuas ha­
                <lb/>
              beant propoſitiones, ſuaſquè ſeorſum habeant demonſtratio­
                <lb/>
              nes, ideo inter propoſitiones ipſa collocare nobis viſum eſt.
                <lb/>
              cùm pręſertim nonnulla ex ſe〈que〉ntibus theorematibus, po­
                <lb/>
              tiſſimùm verò proximum eiuſdem cum his duobus ordinis,
                <lb/>
              & naturæ ſint. </s>
              <s id="N11514">Ne〈que〉 enim propterea peruertitur ordo; non
                <lb/>
              enim hę propoſitiones in alium transferuntur locum. </s>
              <s id="N11518">ſed
                <expan abbr="tã-tùm">tan­
                  <lb/>
                tùm</expan>
              inter alias numeris adnotantur. </s>
              <s id="N11520">exiſtimandum enim eſt,
                <lb/>
              Archimedem propoſitiones in ſerie propoſitionum collocaſ­
                <lb/>
              ſe. </s>
              <s id="N11526">hanc verò exiguam mutationem accidiſſe
                <expan abbr="oblongitudinẽ">oblongitudinem</expan>
                <lb/>
              temporis; cuius proprium eſt, res potiùs deſtruere, quàm ac­
                <lb/>
              comodare. </s>
              <s id="N11530">Hoc autem nobis hanc præbebit commoditatem,
                <lb/>
              vt, quando libuerit, has propoſitiones numeris nominare
                <lb/>
              poſſimus. </s>
              <s id="N11536">id ipſumquè numeri poſtulata diſtinguentes præ­
                <lb/>
              ſtant, quamuis in Gręco codice poſtulata (Gręcorum more)
                <lb/>
              numeris adnotata non ſint. </s>
            </p>
            <p id="N1153C" type="head">
              <s id="N1153E">PROPOSITIO. III.</s>
            </p>
            <p id="N11540" type="main">
              <s id="N11542">Inæqualia grauia ex diſtantijs inæqualibus æ­
                <lb/>
                <arrow.to.target n="marg27"/>
              〈que〉ponderabunt, maius quidem ex minori. </s>
            </p>
            <p id="N1154A" type="margin">
              <s id="N1154C">
                <margin.target id="marg27"/>
              A</s>
            </p>
            <figure id="id.077.01.044.1.jpg" xlink:href="077/01/044/1.jpg" number="24"/>
            <p id="N11553" type="main">
              <s id="N11555">
                <emph type="italics"/>
              Sint in æqualia grauia AD, B
                <emph.end type="italics"/>
              ;
                <lb/>
                <arrow.to.target n="marg28"/>
                <emph type="italics"/>
              ſit què maius AD
                <emph.end type="italics"/>
              , exceſſus ve
                <lb/>
              rò, quo AD ſuperat B, ſit
                <lb/>
              D.
                <emph type="italics"/>
                <expan abbr="æ〈que〉põderentquè">æ〈que〉ponderentquè</expan>
                <emph.end type="italics"/>
              AD B
                <emph type="italics"/>
              ex
                <lb/>
              diſtantiis AC C B. oſtendendum
                <lb/>
              eſt, minorem eſſe
                <emph.end type="italics"/>
                <expan abbr="diftantiã">diftantiam</expan>
                <emph type="italics"/>
              AC
                <lb/>
              ipſa CB. Non ſit quidem, ſi fie­
                <lb/>
              ri potest
                <emph.end type="italics"/>
              , AC minor, quàm CB; erit nimirum, vel ęqualis,
                <lb/>
              vel maior. </s>
              <s id="N1158E">Quòd ſi AC fuerit ęqualis ipſi CB,
                <emph type="italics"/>
              ablato enim
                <lb/>
              exceſſu
                <emph.end type="italics"/>
              D,
                <emph type="italics"/>
              quo AD ſuperat B. cùm ab a〈que〉ponderantium altero ab
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg29"/>
                <emph type="italics"/>
              latum ſit aliquid
                <emph.end type="italics"/>
              , grauia AB non æ〈que〉ponderabunt; ſed
                <emph type="italics"/>
              præ-
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg30"/>
                <emph type="italics"/>
              ponderabit ad B. non præponderabit autem; exiſtente enim AC aqua
                <lb/>
              li CB
                <emph.end type="italics"/>
              , cùm ab inęqualibus grauibus AD B ablatus ſit ex­
                <lb/>
              ceſſus D,
                <emph type="italics"/>
              grauia
                <emph.end type="italics"/>
              , quæ relinquuntur AB, erunt inter ſe
                <emph type="italics"/>
              æqualia
                <emph.end type="italics"/>
              ; </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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