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

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      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001025">
                <pb pagenum="125" xlink:href="028/01/165.jpg"/>
                <emph type="italics"/>
              AC non iam spatij parteis æqualeis deſignare, ſed temporis.
                <lb/>
              </s>
              <s id="s.001026">Tunc ex tuis, & Galilei principijs facilè agnoſces velocita­
                <lb/>
              tem in E, hoc eſt in fine ſecundi temporis acquiſitam, veloci­
                <lb/>
              tatis in D acquiſitæ duplam eſſe, perpetuóque
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.028.01.165.1.jpg" xlink:href="028/01/165/1.jpg" number="36"/>
                <lb/>
                <emph type="italics"/>
              velocitates, & tempora in eadem eſſe ratione.
                <lb/>
              </s>
              <s id="s.001027">Hoc autem conſtituto, tuis ego, &
                <emph.end type="italics"/>
              G
                <emph type="italics"/>
              alilei
                <lb/>
              armis ita aduerſum te inſurgo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001028">Et verò opperior. </s>
            </p>
            <p type="main">
              <s id="s.001029">
                <emph type="italics"/>
              Si velocitatis incrementa tempori bus æqua­
                <lb/>
              libus acquiſita eam inter ſe rationem obſerua­
                <lb/>
              rent, quam tempora, neceſſariò ipſæ quoque
                <lb/>
              velocitates perpetuò eſſent inter ſe, vt tempora,
                <lb/>
              eſſetque, exempli gratiâ, velocitas duobus temporibus æquali­
                <lb/>
              bus acquiſita velocitatis primo tempore acquiſitæ dupla.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001030">Scilicet iſta tibi eſt hypothetica Propoſitio. </s>
              <s id="s.001031">Aſſum­
                <lb/>
              tio ſequitur. </s>
            </p>
            <p type="main">
              <s id="s.001032">
                <emph type="italics"/>
              At quoties velocitas quælibet alterius eſt dupla, neceſſe eſt,
                <lb/>
              vt eodem, aut æquali tempore à velocitate dupla ſpatium
                <lb/>
              decurratur duplum eius, quod percurritur à velocitate ſubdu­
                <lb/>
              pla.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001033">Concluſionem ſubtices; nam quod ſequitur eſt
                <lb/>
              quaſi Subſumptum. </s>
              <s id="s.001034">Quæſo te verò, ecquam nam
                <lb/>
              poſſes exinde deducere, conſtante Syllogiſmo ex ter­
                <lb/>
              minis quatuor; neque tertio termino, vt decuit in hy­
                <lb/>
              potheſi, vnà cum Propoſitionis aut antecedente, aut
                <lb/>
              conſequente aſſumpto. </s>
              <s id="s.001035">Huiuſmodi enim videtur
                <lb/>
              fuiſſe debere Aſſumptio. </s>
            </p>
            <p type="main">
              <s id="s.001036">
                <emph type="italics"/>
              At quoties velocitas quælibet est alterius dupla, velocita­
                <lb/>
              tis incrementa temporibus æqualibus acquiſita eam inter ſe
                <lb/>
              rationem obſeruant, quam tempora.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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