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

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002324">
                <pb pagenum="445" xlink:href="010/01/453.jpg"/>
                <arrow.to.target n="marg598"/>
                <lb/>
              pus quod in fluido mouetur libram, vel ſiphonem
                <expan abbr="cõ-ſtituit">con­
                  <lb/>
                ſtituit</expan>
              cum
                <expan abbr="ambiẽte">ambiente</expan>
              fluido,
                <lb/>
                <figure id="id.010.01.453.1.jpg" xlink:href="010/01/453/1.jpg"/>
                <lb/>
              cuius moles æqualis ſit ſo­
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              lido demerſo; igitur ſphæ­
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              ra lignea A, & vitrum ca­
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              uum B conſtituunt æquales
                <lb/>
              libras in
                <expan abbr="eodẽ">eodem</expan>
              fluido, prop­
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              terea quod eorum moles æquales ſunt, & ab æquali­
                <lb/>
              bus, & ſimilibus ſphæricis figuris comprehenduntur;
                <lb/>
              eſt que exceſſus ponderis ligni A ſupra pondus fluidi
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              ambientis æqualis exceſſui ponderis vitreæ phialæ
                <lb/>
              B ſupra pondus eiuſdem ambientis fluidi, cuius mo­
                <lb/>
              les ſibi ipſi æqualis eſt, igitur eodem exceſſu pondus
                <lb/>
              ligni A, atque vitri B ſuperant pondus ambientis flui­
                <lb/>
              di eiuſdem molis, & proindè duo corpora A, & B,
                <lb/>
              æquè ponderantia in eodem fluido in quo feruntur,
                <lb/>
              ſunt; ſed virtutes motiuæ quibus corpora A, & B de­
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              orsùm feruntur, nil aliud eſſe cenſentur ab aduerſa­
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              rijs quàm energiæ ponderum eorum. </s>
              <s id="s.002325">ergo corporą
                <lb/>
              A, & B in
                <expan abbr="eodẽ">eodem</expan>
              fluido habent æquales vires motiuas,
                <lb/>
              hæ verò ab eodem fluido æquè impediuntur, proptèr
                <lb/>
              ſimilitudinem, & æqualitatem figurarum, igitur eo­
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              rum effectus, ſcilicèt velocitates quibus deorsùm̨
                <lb/>
              feruntur, æquales prorsùs inter ſe erunt. </s>
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            <p type="margin">
              <s id="s.002326">
                <margin.target id="marg598"/>
              Cap. 10. de
                <lb/>
              æquitempo­
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              ranea natu­
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              rali veloci­
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              tate
                <expan abbr="grauiũ">grauium</expan>
              .</s>
            </p>
            <p type="main">
              <s id="s.002327">In vacuo verò, quoniam duo corpora A, & B
                <expan abbr="com-prehẽduntur">com­
                  <lb/>
                prehenduntur</expan>
              ab externis ſphæricis figuris ſimilibus,
                <lb/>
              & æqualibus, &
                <expan abbr="ſupponũtur">ſupponuntur</expan>
              æquè grauia, igitur par­
                <lb/>
              tes materiales nempè eorum moles corporeæ æ­
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              quales ſunt inter ſe, & proindè (ex propoſ. </s>
              <s id="s.002328">15. de vi </s>
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