Gassendi, Pierre, De proportione qua gravia decidentia accelerantur, 1646

List of thumbnails

< >
61
61
62
62
63
63
64
64
65
65
66
66
67
67
68
68
69
69
70
70
< >
page |< < of 360 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000462">
                <pb pagenum="28" xlink:href="028/01/068.jpg"/>
              petus omnium globorum inter ſe æqualeis; ſed
                <expan abbr="quõ">quom</expan>
                <lb/>
              tempore impetus exprimitur à quarto ſemel, exprimi
                <lb/>
              à tertio bis, à ſecundo ter, à primo quater, &c. </s>
            </p>
            <p type="main">
              <s id="s.000463">XVII. </s>
              <s id="s.000464">Quod attinet autem ad comparationem
                <lb/>
              arcuum CB, GB, IB, cum ipſis planis punctim
                <lb/>
              notatis inter extrema eadem; tu ſic inſtas, vt licet
                <lb/>
              totum id eſſe verum concederetur, quod dicitur de
                <lb/>
              impetu globi per diuerſos arcus librati, vrgeas
                <emph type="italics"/>
              aliam
                <lb/>
              eſſe rationem, aut meritò ſaltem videri poſſe aliam,
                <emph.end type="italics"/>
              deſ­
                <lb/>
              cendentis globi per diuerſa plana. </s>
              <s id="s.000465">G
                <emph type="italics"/>
              lobus enim,
                <emph.end type="italics"/>
              in­
                <lb/>
              quis,
                <emph type="italics"/>
              per aërem ſemper toto ſuo pondere deorsùm nititur,
                <lb/>
              & eatenus ſolum eius deſcenſus interturbatur, quatenus à
                <lb/>
              recto, & perpendiculari curſu ad circularem cogitur, at­
                <lb/>
              que adducitur: at præter impedimentum ex varia plano­
                <lb/>
              rum inclinatione, adhûc maius, dum globus etiam magis
                <lb/>
              à perpendiculari deſcenſu diſtrahitur; tantò minoribus in­
                <lb/>
              ſuper momentis globus per planum deſcendit, quan ò mi­
                <lb/>
              nùs accliue fuerit, vt facilè omnibus notum eſt.
                <emph.end type="italics"/>
              </s>
              <s id="s.000466"> Verùm
                <lb/>
              non video quî id concludas; quatenùs non aſſumis
                <lb/>
              planum, quantò minùs decliue eſt, tantò eſſe quo­
                <lb/>
              que prolixius. </s>
              <s id="s.000467">Etenim notum quidem eſt acquiri
                <lb/>
              minores velocitatis gradus in minus decliui, quod
                <lb/>
              ſit decliuiori æquale, at, ſi vt minùs decliue, ita etiam
                <lb/>
              prolixius ſit, notum quoque eſt velocitatem in fine
                <lb/>
              illius quæſitam eſſe poſſe æqualem velocitati in fine
                <lb/>
              decliuioris acquiſitæ, prolixitate nempe deſcenſus par­
                <lb/>
              uitatem incrementorum velocitatis compenſante.
                <lb/>
              </s>
              <s id="s.000468">Interim autem æqualitas impetus in B acquiſiti, ſiue
                <lb/>
              per arcum, ſiue per planum contingat globi delapſio,
                <lb/>
              ex eo videtur conſequi, quòd ſilum ſupernè globum </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>