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

Page concordance

< >
Scan Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
< >
page |< < of 207 > >|
    <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>
Impressum