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

Table of figures

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    <archimedes>
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            <p type="main">
              <s id="s.000586">
                <arrow.to.target n="marg144"/>
                <lb/>
              ſed in aqua, vel in aere, illa enim habebit tres gradus
                <lb/>
              grauitatis, & vnicum leuitatis, ergo ignis per
                <expan abbr="aquã">aquam</expan>
                <lb/>
              aſcendet velocitate trium graduum; in mercurio ve­
                <lb/>
              rò impetu octo graduum, & terra per ignem octies
                <lb/>
              velociùs deſcendet, quàm per aquam. </s>
              <s id="s.000587">Præterea aer
                <lb/>
              habet vnicum gradum grauitatis, & tres gradus le­
                <lb/>
              uitatis, igitur ignis octies velociùs per mercurium
                <lb/>
              aſcendet, quàm per aerem, vnde hac ratione habe­
                <lb/>
              bimus menſuram vnius gradus impetus tàm in
                <expan abbr="aſcẽ-ſu">aſcen­
                  <lb/>
                ſu</expan>
              , quàm in deſcenſu, qui comparari poteſt cum im­
                <lb/>
              petu ignis per mercurium aſcendentis, & terræ per
                <lb/>
              ignem deſcendentis; & proindè facilè conijci po­
                <lb/>
              terit, an prædictæ velocitates extremorum elemen­
                <lb/>
              torum reuerà ſint octuplæ, vel non, comparatæ ad
                <lb/>
              velocitates quas exercent in intermedijs elementis.
                <lb/>
              & licèt experimentum non det exactam
                <expan abbr="præcifionẽ">præciſionem</expan>
              ,
                <lb/>
              nihilominùs ſufficientiſſimè euincit falſitatem peri­
                <lb/>
              pateticæ hypotheſis, ſed licèt reuerà vis, & energia,
                <lb/>
              qua corpora aſcendunt, vel deſcendunt, minimè de­
                <lb/>
              duci poſſit ex velocitate tranſitus ſursùm, vel deor­
                <lb/>
              sùm, vt ſuo loco apertè oſtendemus, tamen aſſumi
                <lb/>
              poteſt cum aduerſario ad eum redarguendum. </s>
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              Cap. 4. poſi­
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              tiuam leui­
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              tatem noņ
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              dari.</s>
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            <p type="main">
              <s id="s.000589">Conſiderentur deindè elementa intermedia, vt
                <lb/>
              ſunt aer, & aqua, ſeù alia corpora mixta, quæ
                <expan abbr="eiſdẽ">eiſdem</expan>
                <lb/>
              gradibus leuitatis, & grauitatis afficiantur. </s>
              <s id="s.000590">Demon­
                <lb/>
              ſtrandum eſt, nullum eorum corporum, quæ
                <expan abbr="aſcendũt">aſcendunt</expan>
                <lb/>
              ſursùm poſitiuam leuitatem habere. </s>
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