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

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="537" xlink:href="010/01/545.jpg"/>
            <p type="main">
              <s id="s.002879">
                <arrow.to.target n="marg758"/>
                <lb/>
              fuerat, ergo à temporanea aeris rarefactione, & dila­
                <lb/>
              tatione
                <expan abbr="ſpatiũ">ſpatium</expan>
              illud
                <expan abbr="vacuũ">vacuum</expan>
              repleri omninò non poteſt,
                <lb/>
              & ideo vacuum procùl dubio remanebit. </s>
            </p>
            <p type="margin">
              <s id="s.002880">
                <margin.target id="marg758"/>
              Cap. 12. dę
                <lb/>
              vacui neceſ­
                <lb/>
              ſitate.</s>
            </p>
            <p type="main">
              <s id="s.002881">His declaratis oſtendendum eſt neceſſariò
                <expan abbr="vacuũ">vacuum</expan>
                <lb/>
              diſperſum intra exiguas corporum particulas admit­
                <lb/>
              ti debere. </s>
            </p>
            <p type="main">
              <s id="s.002882">Quia manifeſtum eſt motum in rerum natura dari
                <lb/>
              intra corpora fluida, ſi oſtenderimus motus aliquos
                <lb/>
              fieri non poſſe abſque vacui intermixtione, erit pro­
                <lb/>
              fectò certum vacuum admitti debere. </s>
            </p>
            <p type="main">
              <s id="s.002883">
                <emph type="center"/>
              PROP. CCLXVI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002884">
                <emph type="center"/>
                <emph type="italics"/>
              In diſciſsione corporis flexibilis, dum partes tractione ſepa­
                <lb/>
              rantur, neceſſariò vacuum intercipitur.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002885">ET primò conſideremus
                <expan abbr="motũ">motum</expan>
              , quo diuelluntur,
                <lb/>
              ſcinduntur, & ſe parantur duo
                <expan abbr="fragmẽta">fragmenta</expan>
              ſaxi du­
                <lb/>
              riſſimi ab aliqua valida percuſſione diffracti, vel à vi
                <lb/>
              cunei, aut vectis exſciſſi, in ijs duę ſuperficies
                <expan abbr="fragmẽ-torũ">fragmen­
                  <lb/>
                torum</expan>
              , quę arctiſſimè
                <expan abbr="cõnexę">connexę</expan>
              & vnitę
                <expan abbr="erãt">erant</expan>
              , licèt in
                <expan abbr="inſtã-ti">inſtan­
                  <lb/>
                ti</expan>
              videantur ab
                <expan abbr="inuicẽ">inuicem</expan>
              ſeparari, tamen fatendum eſt
                <lb/>
              in tempore breuiſſimo diuiſionem peragi; atque hoc
                <lb/>
              contingere ex flexione quam
                <expan abbr="patiũtur">patiuntur</expan>
              prædicta frag­
                <lb/>
              menta, licèt ſint marmorea, aut adamantina, ex qua
                <lb/>
              inflexione fit vt prædicta
                <expan abbr="fragmẽta">fragmenta</expan>
              in actu diuiſionis
                <lb/>
              aliquantiſper incuruentur, & ſic non tota ſimùl in
                <expan abbr="in-ſtãti">in­
                  <lb/>
                ſtanti</expan>
              à ſubiecta ſuperficie diuellatur, ſed ſucceſſi­
                <lb/>
              uè vna pars poſt aliam; vt ſi duæ laminæ marmoreæ
                <lb/>
                <expan abbr="vniãtur">vniantur</expan>
              duabus planis ſuperficiebus AB, & CB, cum
                <lb/>
              diuellere planum CB aliqua potentia conatur, ſi CB
                <lb/>
              flexibilis ſupponatur, patet quod diſiuncta particula </s>
            </p>
          </chap>
        </body>
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