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

Page concordance

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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="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.002889">Cogitemus modò CB eſſe
                <expan abbr="laminã">laminam</expan>
              , ſen
                <expan abbr="fragmentũ">fragmentum</expan>
              ,
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              quod ex integro marmore AB
                <expan abbr="diſrũpitur">diſrumpitur</expan>
              , licèt in actu
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              diuulſionis inflectatur lamina CB, tamen non acqui­
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              rit perfectam curuitatem, quia non componitur ex
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              punctis actu inter ſe diſcretis, & inæqualibus moti­
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              bus agitatis, ſed conſtat ex partibus quantis, figura­</s>
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            <p type="main">
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              tis, omninò duris, & rigidis, vt oſtenſum eſt; ideoque
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              in eius inflexione acquiret figuram ex pluribus fa­
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              cieculis, & ex pluribus angulis ſolidis compoſitam,
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              & ſic verum eſt, quòd integra diſtractio, & diuulſio
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              ſucceſſiuè, & in tempore abſoluitur, at vnaquæque
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              ex illis facieculis inflexibilibus à ſubiecta lamina,
                <expan abbr="">cum</expan>
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              qua vnita, & conglutinata erat, diuelli debet, non in
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              tempore, ſed in inſtanti, vt ex dictis deducitur; mo­
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              dò, quia ſpatiola illa vacua priſmatica
                <expan abbr="triãgularia">triangularia</expan>
              , in
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              inſtanti creata, nequeunt in inſtanti repleri neque à
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              ſolido, neque à fluido, ambiente corpore etiam ra­
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              refacto, quandoquidem motus, quo accurrere de­
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              bent ad illud ſpatium replendum in inſtanti fieri non
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              poteſt; ergo neceſſariò vacuum in illis interſtitijs ſal­
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              tem per aliquod breue tempus admitti debet, & hoc
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              ſufficit ad
                <expan abbr="probãdum">probandum</expan>
              , nedùm vacuum impoſſibile
                <expan abbr="">non</expan>
                <lb/>
              eſſe, ſed neceſſariò requiri ad talem motum
                <expan abbr="efficiẽdũ">efficiendum</expan>
              . </s>
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            <p type="margin">
              <s id="s.002891">
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              Prop. 251.
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                <expan abbr="uſq;">uſque</expan>
              Cor
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            <p type="margin">
              <s id="s.002892">
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              Prop. 264.</s>
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            <p type="margin">
              <s id="s.002893">
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              Prop. 265.</s>
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            <p type="main">
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              PROP. CCLXVII.
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            </p>
            <p type="main">
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                <emph type="center"/>
                <emph type="italics"/>
              In eadem ſcisſione non poteſt fluidum ambiens omninò crea­
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              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
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              vacuum, quod continentèr augetur mutando
                <expan abbr="figurã">figuram</expan>
              ; </s>
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          </chap>
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