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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N111C8" type="main">
              <s id="N112BC">
                <pb xlink:href="077/01/041.jpg" pagenum="37"/>
              tatis intra figuram ſemper exiſtere aliquo modo intelligi po­
                <lb/>
              teſt. </s>
            </p>
            <p id="N112F2" type="margin">
              <s id="N112F4">
                <margin.target id="marg22"/>
                <emph type="italics"/>
              per def.
                <lb/>
                <expan abbr="cẽt">cent</expan>
              . grau.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.041.1.jpg" xlink:href="077/01/041/1.jpg" number="20"/>
            <figure id="id.077.01.041.2.jpg" xlink:href="077/01/041/2.jpg" number="21"/>
            <p id="N11309" type="main">
              <s id="N1130B">Refert Eutocius hoc loco, Geminum rectè dicere, dum aſſe­
                <lb/>
              rit Archimedem dignitates petitiones apellare. </s>
              <s id="N1130F">æqualia enim
                <lb/>
              grauia ex diſtantijs æqualibus æ〈que〉ponderare, dignitas eft; &
                <lb/>
              quæ deinceps.
                <expan abbr="Verũ">Verum</expan>
              ſi hæc principia ab Archimede tradita re
                <lb/>
              ctè perpendamus, omnia dignitates eſſe minimè reperiemus.
                <lb/>
              nam ſeptimum poſtulatum eſt definitio, non dignitas. </s>
              <s id="N1131D">veluti
                <lb/>
              alia fortaſſe nonnulla non ſunt dignitates, vt ſecundum; quod
                <lb/>
              aliquo modo probari poteſt, vt diximus. </s>
              <s id="N11323">ſextum quo〈que〉 po­
                <lb/>
              tiùs eſt ſuppoſito, quàm dignitas. </s>
              <s id="N11327">Quoniam autem vt clarè
                <lb/>
              conſpicitur Archimedes ſub vno tantùm titulo pauca hæc
                <lb/>
              principia complecti voluit; quippe quod inſtitutum quàm plu
                <lb/>
              rimis mathematicis ſolemne fuit, qui principia vnico tantum
                <lb/>
              nomine nuncuparunt, modò vno, modò altero; nimirum,
                <lb/>
              vel petitionis, vel dignitatis, vt refert Proclus ſecundo libro, &
                <lb/>
              tertio ſuorum commentariorum in primum elementorum. </s>
              <s id="N11335">Eu
                <lb/>
              clidis; qui de Archimede peculiariter mentionem faciens, in­
                <lb/>
              quit illum in his libris principia vnico tantùm nomine (peti­
                <lb/>
              tionis ſcilicet) nuncupaſſe. </s>
              <s id="N1133D">Hæc tamen potiùs petitionum,
                <lb/>
              quàm definitionum, vel dignitatum nomine nuncupare vo­
                <lb/>
              luit; nam ſi dignitates appellaſſet; ea principia, quæ non ſunt
                <lb/>
              dignitates, inter dignitates malè collocaſſet. </s>
              <s id="N11345">nulla quippè defi­
                <lb/>
              nitio dignitas dici debet; quandoquidem definitio terminos
                <lb/>
              declarat, at〈que〉 conſtituit. </s>
              <s id="N1134B">dignitas verò notos terminos copu­
                <lb/>
              lat. </s>
              <s id="N1134F">Pariquè ratione ſi definitionis nomine hæc principia nun
                <lb/>
              cupaſſet. </s>
              <s id="N11353">dignitates malè ſub hoc nomine complexus fuiſſet,
                <lb/>
              quæ nullo modo rem definiunt, ſed cùm ſint communes no
                <lb/>
              tiones, ſtatim cùm eas intellectus apprehendit, quieſcit. </s>
              <s id="N11359">Qua­
                <lb/>
              re omnia ſub petitionum nomine recte collocauit, non eſt.
                <expan abbr="n.">enim</expan>
                <lb/>
              abſurdum dignitates, definitioneſquè poſſe apellari petitio­
                <lb/>
              nes. </s>
              <s id="N11365">etenim petimus, quæ ſunt concedenda, at〈que〉 dignitates
                <lb/>
              ſunt concedendę, ergo eas petere quo〈que〉 poſſumus. </s>
              <s id="N11369">Definitio
                <lb/>
              nibus verò rectè quo〈que〉 hoc nomen conuenire poteſt. </s>
              <s id="N1136D">Nam
                <lb/>
              dùm definitio terminos conſtituat, at〈que〉 declaret, cur non pe
                <lb/>
              tere poſſumus, terminos ſic ſe habere, vel ſiceſſe rectè definitos?
                <lb/>
              vt exempli gratia, petit Archimedes puncta in figuris fimiliter </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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