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

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      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002886">
                <pb pagenum="539" xlink:href="010/01/547.jpg"/>
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              </s>
            </p>
            <p type="margin">
              <s id="s.002887">
                <margin.target id="marg759"/>
              Cap. 12. dę
                <lb/>
              vacui neceſ­
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              ſitate.</s>
            </p>
            <p type="margin">
              <s id="s.002888">
                <margin.target id="marg760"/>
              Cap. 12. dę
                <lb/>
              vacui neceſ­
                <lb/>
              ſitate.</s>
            </p>
            <p type="main">
              <s id="s.002889">Cogitemus modò CB eſſe
                <expan abbr="laminã">laminam</expan>
              , ſen
                <expan abbr="fragmentũ">fragmentum</expan>
              ,
                <lb/>
              quod ex integro marmore AB
                <expan abbr="diſrũpitur">diſrumpitur</expan>
              , licèt in actu
                <lb/>
              diuulſionis inflectatur lamina CB, tamen non acqui­
                <lb/>
              rit perfectam curuitatem, quia non componitur ex
                <lb/>
              punctis actu inter ſe diſcretis, & inæqualibus moti­
                <lb/>
              bus agitatis, ſed conſtat ex partibus quantis, figura­</s>
            </p>
            <p type="main">
              <s id="s.002890">
                <arrow.to.target n="marg761"/>
                <lb/>
              tis, omninò duris, & rigidis, vt oſtenſum eſt; ideoque
                <lb/>
              in eius inflexione acquiret figuram ex pluribus fa­
                <lb/>
              cieculis, & ex pluribus angulis ſolidis compoſitam,
                <lb/>
              & ſic verum eſt, quòd integra diſtractio, & diuulſio
                <lb/>
              ſucceſſiuè, & in tempore abſoluitur, at vnaquæque
                <lb/>
              ex illis facieculis inflexibilibus à ſubiecta lamina,
                <expan abbr="cũ">cum</expan>
                <lb/>
              qua vnita, & conglutinata erat, diuelli debet, non in
                <lb/>
                <arrow.to.target n="marg762"/>
                <lb/>
              tempore, ſed in inſtanti, vt ex dictis deducitur; mo­
                <lb/>
              dò, quia ſpatiola illa vacua priſmatica
                <expan abbr="triãgularia">triangularia</expan>
              , in
                <lb/>
              inſtanti creata, nequeunt in inſtanti repleri neque à
                <lb/>
              ſolido, neque à fluido, ambiente corpore etiam ra­
                <lb/>
                <arrow.to.target n="marg763"/>
                <lb/>
              refacto, quandoquidem motus, quo accurrere de­
                <lb/>
              bent ad illud ſpatium replendum in inſtanti fieri non
                <lb/>
              poteſt; ergo neceſſariò vacuum in illis interſtitijs ſal­
                <lb/>
              tem per aliquod breue tempus admitti debet, & hoc
                <lb/>
              ſufficit ad
                <expan abbr="probãdum">probandum</expan>
              , nedùm vacuum impoſſibile
                <expan abbr="nõ">non</expan>
                <lb/>
              eſſe, ſed neceſſariò requiri ad talem motum
                <expan abbr="efficiẽdũ">efficiendum</expan>
              . </s>
            </p>
            <p type="margin">
              <s id="s.002891">
                <margin.target id="marg761"/>
              Prop. 251.
                <lb/>
                <gap/>
                <expan abbr="uſq;">uſque</expan>
              Cor
                <gap/>
              </s>
            </p>
            <p type="margin">
              <s id="s.002892">
                <margin.target id="marg762"/>
              Prop. 264.</s>
            </p>
            <p type="margin">
              <s id="s.002893">
                <margin.target id="marg763"/>
              Prop. 265.</s>
            </p>
            <p type="main">
              <s id="s.002894">
                <emph type="center"/>
              PROP. CCLXVII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002895">
                <emph type="center"/>
                <emph type="italics"/>
              In eadem ſcisſione non poteſt fluidum ambiens omninò crea­
                <lb/>
              ta ſpatia vacua replere.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002896">COnſideremus poſtea materiam corpoream, quæ
                <lb/>
              accurrere debet ad replendum illud ſpatium̨
                <lb/>
              vacuum, quod continentèr augetur mutando
                <expan abbr="figurã">figuram</expan>
              ; </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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