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

Page concordance

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