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

Table of figures

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            <p type="main">
              <s id="s.002139">
                <pb pagenum="419" xlink:href="010/01/427.jpg"/>
                <arrow.to.target n="marg544"/>
                <lb/>
              enim certum, & determinatum gradum velocitatis à
                <lb/>
              natura ipſis aſſignatum, non verò inſtantaneum. </s>
              <s id="s.002140">huic
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              verò
                <expan abbr="ſentẽtiæ">ſententiæ</expan>
              refragatur celebris illa Ariſtotelis de­
                <lb/>
              monſtratio vbi contendit, quod motus in vacuo fie­
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              ri deberet non in tempore, ſed in inſtanti. </s>
              <s id="s.002141">erit igitur
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                <arrow.to.target n="marg545"/>
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              operæpretium ad examen vocare tale Ariſtotelicum
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                <expan abbr="ratiociniũ">ratiocinium</expan>
              , quod
                <expan abbr="pẽdet">pendet</expan>
              ex huiuſmodi ſuppoſitione.
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              </s>
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            <p type="margin">
              <s id="s.002142">
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              Cap. 10. de
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              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="margin">
              <s id="s.002143">
                <margin.target id="marg545"/>
              4. phyſ. c.8.</s>
            </p>
            <p type="margin">
              <s id="s.002144">
                <margin.target id="marg546"/>
                <expan abbr="Eiuſdẽ">Eiuſdem</expan>
              mo­
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              bilis veloci­
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              tates reci­
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              procè pro­
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              port ionales
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              ſunt denſita­
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              tibus fluideo
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              rum in qui­
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              bus moui­
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              tur. </s>
              <s id="s.002145">ex Atiſ.
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              </s>
              <s id="s.002146">ibidem.</s>
            </p>
            <p type="main">
              <s id="s.002147">Quod quotieſcumque idem mobile fertur per duo
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              media fluida, tunc eorum denſitates, ſeù reſiſtentiæ
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              proportionales reciprocè ſunt eiuſdem mobilis ve­
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              locitatibus, quas in prædictis fluidis exercet. </s>
              <s id="s.002148">Itaque
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              poſito quod pila ferrea verb. </s>
              <s id="s.002149">gr. vna, & eadem vi mo­
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              tiua ex ſui natura feratur per aquam, & per acrem, ſi
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              denſitas, & reſiſtentia ad diuiſionem aquæ centies
                <lb/>
              maior eſſet reſiſtentia ipſius aeris, aſſumit Philoſo­
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              phus moueri pilam ferream per aerem velocitate
                <expan abbr="cẽ-ties">cen­
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                ties</expan>
              maiori, quàm per aquam fertur, ſcilicèt ſi motus
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              fiant temporibus æqualibus, per
                <expan abbr="aerẽ">aerem</expan>
              excurrere ſpa­
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              tium centuplum, quàm per aquam, & ſi ſpatia exa­
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              cta æqualia fuerint, tempus motionis per aquam cen­
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              tuplo prolixius, & tardius eſſe, quàm per aerem. </s>
            </p>
            <p type="main">
              <s id="s.002150">Hoc principio ſuppoſito probat Philoſophus ve­
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              locitatem cuiuslibet mobilis in vacuo eſſe
                <expan abbr="immẽſam">immenſam</expan>
              , </s>
            </p>
            <p type="main">
              <s id="s.002151">
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              & inſtantaneam. </s>
              <s id="s.002152">Et profectò optimus eſſet eius pro­
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              greſſus ſi prædictum
                <expan abbr="principiũ">principium</expan>
              à philoſopho aſſump­
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              tum eſſet firmum, & ſtabile, ſed iam clariſs. </s>
              <s id="s.002153">Gali­
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              leus falſum eſſe euidentiſſimè demonſtrauit in noua
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              eius ſcientia mechanica dialogo primo. </s>
            </p>
          </chap>
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