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

Page concordance

< >
< >
page |< < of 360 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000695">
                <pb pagenum="69" xlink:href="028/01/109.jpg"/>
              Et conſequenter, vt pergas probate tempus per
                <lb/>
                <figure id="id.028.01.109.1.jpg" xlink:href="028/01/109/1.jpg" number="22"/>
                <lb/>
              quartam partem EF æquale eſſe tempori per
                <lb/>
              KC quadrantem primæ,
                <emph type="italics"/>
              Similiter,
                <emph.end type="italics"/>
              inquis,
                <emph type="italics"/>
              di­
                <lb/>
              uiſa bifariàm
                <emph.end type="italics"/>
              CD
                <emph type="italics"/>
              in
                <emph.end type="italics"/>
              O,
                <emph type="italics"/>
              ſumptoque quadr inte
                <emph.end type="italics"/>
                <lb/>
              DP
                <emph type="italics"/>
              æquali ipſi
                <emph.end type="italics"/>
              KC,
                <emph type="italics"/>
              tota
                <emph.end type="italics"/>
              AE
                <emph type="italics"/>
              diuiſa erit in par­
                <lb/>
              teis quatuor æqualeis
                <emph.end type="italics"/>
              AK KO, OP, PE;
                <emph type="italics"/>
              ideó
                <lb/>
              que velocitas in
                <emph.end type="italics"/>
              E
                <emph type="italics"/>
              erit quadrupla velocitatis in
                <emph.end type="italics"/>
              K,
                <emph type="italics"/>
              vt
                <lb/>
              tota
                <emph.end type="italics"/>
              AE
                <emph type="italics"/>
              quadrupla eſt ipſius
                <emph.end type="italics"/>
              AK.
                <emph type="italics"/>
              At velocitas
                <lb/>
              quoque in
                <emph.end type="italics"/>
              F
                <emph type="italics"/>
              ob eandem rationem quadrupla etiam eſt
                <lb/>
              velocitatis in
                <emph.end type="italics"/>
              C;
                <emph type="italics"/>
              velocitas igitur per totam
                <emph.end type="italics"/>
              EF
                <lb/>
                <emph type="italics"/>
              quadrupla eſt velocitatis per totam
                <emph.end type="italics"/>
              KC,
                <emph type="italics"/>
              ſicut tota
                <emph.end type="italics"/>
                <lb/>
              EF
                <emph type="italics"/>
              quadrupla eſt ipſius
                <emph.end type="italics"/>
              KC.
                <emph type="italics"/>
              Percurrentur igitur
                <emph.end type="italics"/>
                <lb/>
              KC,
                <emph type="italics"/>
              &
                <emph.end type="italics"/>
              EF
                <emph type="italics"/>
              æquali tempore.
                <emph.end type="italics"/>
              </s>
              <s id="s.000696"> Sequitur,
                <emph type="italics"/>
              Ea
                <lb/>
              dem autem etiam ratio eſt cæterarum omnium par­
                <lb/>
              tium, vt facilè quilibet ex iſtis per ſe intelliget.
                <emph.end type="italics"/>
              </s>
              <s id="s.000697"> Con­
                <lb/>
              cludis,
                <emph type="italics"/>
              Si ſpatium igitur, per quod corpus quodcum­
                <lb/>
              que graue deſcendit, ea, qua dictum eſt, ratione diui­
                <lb/>
              ſum intelligatur, ſingulæ partes huiuſmodi æquales tanto
                <lb/>
              præcisè tempore à corpore graui deſcendente percur­
                <lb/>
              rentur, quantò partes ipſis analogæ ac reſpondentes
                <lb/>
              in ſuprema parte
                <emph.end type="italics"/>
              (aut inferiore eius dimidio)
                <emph type="italics"/>
              deſi
                <lb/>
              gnatæ ab eodem corpore graui decurſæ fuerint, vt est
                <lb/>
              propoſitum.
                <emph.end type="italics"/>
              </s>
              <s id="s.000698"> Prætereo autem, quod ſubinde de­
                <lb/>
              claras te adſcripſiſſe fini cuiuſque ſex partium
                <lb/>
              numerum integrum, incipiendo ab vnitate,
                <lb/>
              ad deſignandum velocitatis gradus illeic acquiſitos, &
                <lb/>
              ex æquo factos cum decurſis partibus; adſcripſiſſe au­
                <lb/>
              tem mediis interuallis ſecundæ, & ſequentium partium
                <lb/>
              fractos numeros, ad deſignandum tempora, ſiue fra­
                <lb/>
              ctiones temporis primi, quibus vnumquodque ſpa-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>