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

Page concordance

< >
< >
page |< < of 360 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001319">
                <pb pagenum="168" xlink:href="028/01/208.jpg"/>
                <emph type="italics"/>
              decurruntur: ita videlicet, vt pars ſecunda spatii abſoluatur
                <lb/>
              dimidia parte temporis, quo prima decurſa eſt: & tertia pars
                <lb/>
              ſpatii tertia parte eiuſdem primi temporis percurratur, & ita
                <lb/>
              de cæteris.
                <emph.end type="italics"/>
              </s>
              <s id="s.001320"> Excepi ego,
                <emph type="italics"/>
              heic profectò rurſus mirari tuam
                <lb/>
              ſagacitatem par eſt, quatenùs eam non fugit error, qui ex poſi­
                <lb/>
              tione à te aſſerta conſequitur, tametſi ipſe non conſequi, ex iis,
                <lb/>
              quæ ſequuntur, contendas.
                <emph.end type="italics"/>
              </s>
              <s id="s.001321"> Duo heic fuerunt:
                <emph type="italics"/>
              Vnum,
                <emph.end type="italics"/>
              Er­
                <lb/>
              rorem eſſe, quòd ſecundum ſpatium æquale percurra­
                <lb/>
              tur dimidio illius temporis, quo primum; tertium trien­
                <lb/>
              te, quartum quadrante, atque ita de reliquis:
                <emph type="italics"/>
              Alterum,
                <emph.end type="italics"/>
                <lb/>
              huiuſmodi errorem conſequi ex tua pofitione, quòd
                <lb/>
              celeritates ſe habeant vt ſpatia, atque adeò, quod ex
                <lb/>
              duplo diſtantiæ celeritas habeatur dupla, ex triplo tri­
                <lb/>
              pla, &c. </s>
              <s id="s.001322">Et
                <emph type="italics"/>
              de Priore
                <emph.end type="italics"/>
              quidem non fuit controuerſia,
                <lb/>
              cùm tu eſſe errorem & confeſſus fueris, & aliquot
                <lb/>
              etiam argumentis oſtenderis.
                <emph type="italics"/>
              De Poſteriore
                <emph.end type="italics"/>
              tota lis
                <lb/>
              fuit, an nempe huiuſmodi error tuis ex principiis, ſeu
                <lb/>
              ex poſitione mox memorata ſequeretur, an-non. </s>
              <s id="s.001323">Et,
                <lb/>
              ſi ſequeretur, an cùm deinceps & errorem oſtenderes,
                <lb/>
              & ex eo admiſſo repugnantia deduceres, non reuerâ
                <lb/>
              oſtenderes, ac deduceres aduerſus teipſum, vt cuius er­
                <lb/>
              ror reuerâ eſſet, tanquam neceſſariò deductus ex tuis
                <lb/>
              principiis. </s>
            </p>
            <p type="main">
              <s id="s.001324">Iam verò illum ex tuis principiis, ſeu propoſitione
                <lb/>
              memorata ſequi, ex eo argumentatus ſum, quòd tem­
                <lb/>
              pora eſſent increſcentium velocitatum ſubmultiplicia:
                <lb/>
              adeò, vt quod ſpatium æquale ſecundum dupla velo­
                <lb/>
              citate percurritur, dimidio temporis percurratur, quo
                <lb/>
              primum: & quod tertium tripla, triente; quod quar­
                <lb/>
              tum quadrupla, quadrante, atque ita de cæteris. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>