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

Page concordance

< >
Scan Original
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
< >
page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/030.jpg" pagenum="26"/>
            <p id="N10DFF" type="head">
              <s id="N10E01">II.</s>
            </p>
            <p id="N10E03" type="main">
              <s id="N10E05">Aequalia verò grauia ex inæqualibus
                <expan abbr="diſtãtijs">diſtantijs</expan>
                <lb/>
              non æqueponderare, ſed præponderare ad gra­
                <lb/>
              ue ex maiori diſtantia. </s>
            </p>
            <p id="N10E0B" type="head">
              <s id="N10E0D">SCHOLIVM.</s>
            </p>
            <p id="N10E0F" type="main">
              <s id="N10E11">Si enim
                <expan abbr="diſtã">diſtam</expan>
                <lb/>
                <arrow.to.target n="fig9"/>
                <lb/>
              tia EC maior
                <lb/>
              fuerit diſtantia
                <lb/>
              ED, grauibus
                <lb/>
              AB ſimiliter æ­
                <lb/>
              qualibus
                <expan abbr="exiſtẽ">exiſtem</expan>
                <lb/>
              tibus, & in CD poſitis, tunc concedendum videtur graue A
                <lb/>
              præponderare ipſi B, quandoquidem EC longior eſt, quàm
                <lb/>
              ED. ſupponit autem Archimedes hoc poſtulatum reſpiciens
                <lb/>
              fortaſſe ad ea, quæ Ariſtoteles in principio quæſtionum me­
                <lb/>
              chanicarum oſtendit, vbi colligit Ariſtoteles idem pondus ce­
                <lb/>
              leriùs ferri, quò magis à centro diſtat, vel quod idem eſt, duo
                <lb/>
              pondera æqualia inæqualiter à centro diſtantia, quod magis
                <lb/>
              diſtat, celeriùs ferri. </s>
              <s id="N10E3A">quod autem æqualium ponderum cele­
                <lb/>
              riùs fertur, grauius exiſtit; erit igitur A grauius, quàm B.
                <lb/>
              quia EC longior eſt, quàm ED. Nos quo〈que〉 (vt diximus)
                <lb/>
              in libro noſtrorum Mechanicorum tractatu de libra, alijs
                <lb/>
              quo〈que〉 rationibus oſtendimus, quo pondus eſt in longiori
                <lb/>
              diſtantia grauius eſſe. </s>
              <s id="N10E46">ex quibus ſequitur propter longiorem
                <lb/>
              diſtantiam EC pondus A præponderare ponderi B. ac pro­
                <lb/>
              pterea deorſum ferri. </s>
            </p>
            <figure id="id.077.01.030.1.jpg" xlink:href="077/01/030/1.jpg" number="12"/>
            <p id="N10E50" type="head">
              <s id="N10E52">III.</s>
            </p>
            <p id="N10E54" type="main">
              <s id="N10E56">Grauibus ex aliquibus diſtantijs
                <expan abbr="æ〈que〉ponderãtibus">æ〈que〉ponderan
                  <lb/>
                tibus</expan>
              , ſi alteri grauium aliquid adijciatur, non æ­
                <lb/>
              〈que〉ponderare; ſed ad graue, cui adiectum fuit,
                <lb/>
              deorſum ferri. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum