Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="50" xlink:href="010/01/058.jpg"/>
            <p type="main">
              <s id="s.000226">
                <arrow.to.target n="marg53"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000227">
                <margin.target id="marg53"/>
              Cap. 3. flui­
                <lb/>
              dum in ſuo
                <lb/>
              toto quie­
                <lb/>
              ſcens pon­
                <lb/>
              derat.</s>
            </p>
            <p type="main">
              <s id="s.000228">
                <emph type="center"/>
              PROP. XIX.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000229">
                <emph type="center"/>
                <emph type="italics"/>
              Lignum infra aquam demerſum, licèt pondus proprium, &
                <lb/>
              aquæ incumbentis exerceat, non proinde ibidem
                <lb/>
              quieſcet.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000230">VT autem huius argumenti falla cia patefiat, in
                <lb/>
              vaſe ARSE aqua pleno demergatur priſma li­
                <lb/>
              gneum, vel aereum HBDI ſitquę
                <lb/>
                <figure id="id.010.01.058.1.jpg" xlink:href="010/01/058/1.jpg"/>
                <lb/>
              pondus aquæ AI decem librarum̨
                <lb/>
              v. g. lignum verò HD ſemilibram̨
                <lb/>
              pendeat. </s>
              <s id="s.000231">Concedo, quòd lignum̨
                <lb/>
              HD premit ſubiectam aquam BV
                <lb/>
              non vi ſemilibræ, ſed robore libra­
                <lb/>
              rum decem, & ſemis, & ideo
                <expan abbr="lignũ">lignum</expan>
                <lb/>
              HD magis comprimit, ac grauitat,
                <lb/>
              quàm ſola aqua incumbens AI, ſed non proindè ſe­
                <lb/>
              quitur, lignum HD quatenùs magis comprimit, ac
                <lb/>
              grauitat in fundo aquæ perſiſtere debere, cùm ab
                <lb/>
              alia cauſa ſursùm exprimatur. </s>
              <s id="s.000232">Secto enim priſmatę
                <lb/>
              aqueo CEFI æquali ipſi AI, & aqueo priſmate IG
                <lb/>
              cuius moles æqualis ſit ligno HD, & eius pondus
                <lb/>
              duas libras ſuperet; patet quòd aqua ſubiecta BV
                <lb/>
              premitur à pondere librarum decem, & ſemis, at
                <lb/>
              aqua DS comprimitur à pondere librarum duode­
                <lb/>
              cim; ergo sipho, vel libra mobilis aquea BG flecti
                <lb/>
              debet eleuando lignum HD minus graue. </s>
              <s id="s.000233">Et hinc
                <lb/>
              patet, quòd ratio, quare lignum aſcendit, non eſt
                <lb/>
              pondus aquæ incumbentis AI, ſed eſt aqua collate-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>