Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Table of figures

< >
[Figure 1]
[Figure 2]
[Figure 3]
[Figure 4]
[Figure 5]
[Figure 6]
[Figure 7]
[Figure 8]
[Figure 9]
[Figure 10]
[Figure 11]
[Figure 12]
[Figure 13]
[Figure 14]
[Figure 15]
[Figure 16]
[Figure 17]
[Figure 18]
[Figure 19]
[Figure 20]
[Figure 21]
[Figure 22]
[Figure 23]
[Figure 24]
[Figure 25]
[Figure 26]
[Figure 27]
[Figure 28]
[Figure 29]
[Figure 30]
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000209">
                <pb pagenum="46" xlink:href="010/01/054.jpg"/>
                <arrow.to.target n="marg47"/>
                <lb/>
              dus pilæ AB nil prorsùs imminutum erit, & æquali
                <lb/>
              energia ſuſtineri debet à potentia D, ac ſi eadem pi­
                <lb/>
              la extra aquam in aere libero penderet, ſed hoc eſt
                <lb/>
              falſum, cùm præcisè in ipſa aqua grauitas pilæ æqua­
                <lb/>
              lis ſit differentiæ ponderis eius abſoluti à grauitatę
                <lb/>
              aquæ ſibi æqualis mole, vt ex Archimede deducitur,
                <lb/>
              igitur neceſſariò
                <expan abbr="fatendũ">fatendum</expan>
              eſt aquam in ipſamet aqua
                <lb/>
              collocatam ponderare, & grauitatem exercere. </s>
            </p>
            <p type="margin">
              <s id="s.000210">
                <margin.target id="marg47"/>
              Cap. 3. flui­
                <lb/>
              dum in ſuo
                <lb/>
              toto quie­
                <lb/>
              ſcens pon­
                <lb/>
              derat.</s>
            </p>
            <p type="main">
              <s id="s.000211">Contra hoc euidentiſſimum ratiocinium afferri
                <lb/>
              ſolet difficultas valdè ſpecioſa, quam examinare, ac
                <lb/>
              diſſoluere erit operæ pretium, vtque ea ritè percipi­
                <lb/>
              atur, conſideretur hæc figura. </s>
              <s id="s.000212">Sit vas cylindricum̨
                <lb/>
                <arrow.to.target n="marg48"/>
                <lb/>
              ABDC aqua plenum ſit que eius altitudo
                <lb/>
                <figure id="id.010.01.054.1.jpg" xlink:href="010/01/054/1.jpg" number="22"/>
                <lb/>
              diſſecta in quotcumque partes æquales,
                <lb/>
              ductis nempè planis imaginarijs MO, &
                <lb/>
              HI, erit igitur moles aquea AI duplą
                <lb/>
              aque ę molis HD; igitur pondus aquæ AI
                <lb/>
              duplum eſt ponderis aquæ HD. quia ve­
                <lb/>
              rò corpus grauius minùs graue ſuperare
                <lb/>
              debet, hocque è ſuo loco expellere (cùm in eo conſi­
                <lb/>
              ſtat vis, & energìa grauitatis, vt tendat deorsùm,
                <lb/>
              & ſic è loco infimo corpora minùs grauia expellat) &
                <lb/>
              poſtquàm aqua AI translata eſt ad locum HD, atque
                <lb/>
              aquam ibidem collocatam expulit denuò in ſitu ſu­
                <lb/>
              periori fiſtulæ AI aqua dupli ponderis, & molis ibi­
                <lb/>
              dem reſtituitur quæ pariter ſuperat grauitatem ſub­
                <lb/>
              duplam aquæ, quæ ad occupandum infimum locum
                <lb/>
              HD ſucceſſit, igitur denuò aqua ſuprema vt grauior
                <lb/>
              infimam è ſuo loco extrudere, atque expellere de-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>