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

Table of figures

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              <s id="s.002273">
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              prædicti mobilis, & perindè ſe habet, ac ſi in vacuo
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              moueretur. </s>
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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>
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              <s id="s.002275">Modò quia impedimentum reale, quod infert aer
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              quieſcens ſua denſitate motui eiuſdem corporis ad
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              nullum, ſeù ad priuationem impedimenti aeris
                <expan abbr="fluẽ-tis">fluen­
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                tis</expan>
              , ſeu venti ſecundi, (qui in diminutam eius veloci­
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              tatem non minùs, ac vacuum excurrere ſinit) habebit
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              eamdem proportionem infinitam, ſeù eumdem defe­
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              ctum proportionis, quam habet plenum ad vacuum̨
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              (ex aſſumpto Peripatetico) ergo velocitas finita, &
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              temporanea eiuſdem mobilis in aere quieſcentę
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              nullam quoque proportionem habebit ad
                <expan abbr="velocitatẽ">velocitatem</expan>
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              eius in aere à vento ſecundo agitato, ideoque in ip­
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              ſo infinita, &
                <expan abbr="inſtãtanea">inſtantanea</expan>
              velocitate moueretur, quod
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              eſt falſum, & contra experientiam. </s>
              <s id="s.002276">Hinc ſequitur,
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              quòd idem mobile quod in aere ſtagnante quatuor
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              gradibus velocitatis ferebatur, in vacuo poſtea vbi
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              nullum impedimentum adeſt non mouebitur infinitè
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              velociùs, & in
                <expan abbr="inſtãti">inſtanti</expan>
              . </s>
              <s id="s.002277">Et ratio eſt, quia
                <expan abbr="impedimentũ">impedimentum</expan>
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              medij fluidi retardans mobilis velocitatem non ha­
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              bet infinitam energiam, ſed eſt certi, ae finiti roboris,
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              & ideo infinitatem impetus, quam in vacuo exercere
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              deberet minimè deſtruere poſſet, nam eadem vis, &
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              energia infinita requiritur, vt quantitas finita in in­
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              finitum extendatur, ac è contrà requiritur vt lineą
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              verè infinita adeò decurtetur, vt extenſionem
                <expan abbr="finitã">finitam</expan>
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              acquirat; in vtroque enim caſu
                <expan abbr="trãſitus">tranſitus</expan>
              , & intercape­
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              do infinita eſt, & propterea exigit infinitam
                <expan abbr="virtutẽ">virtutem</expan>
              . </s>
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            <p type="main">
              <s id="s.002278">Præterea eadem infinita inter capedo, & carentia </s>
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