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

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            <p type="main">
              <s id="s.001284">
                <pb pagenum="164" xlink:href="028/01/204.jpg"/>
              nunc per ipſam à te circulo inſigni probantur. </s>
              <s id="s.001285">Sed
                <lb/>
              tuum eſto principium; quid inde? </s>
            </p>
            <p type="main">
              <s id="s.001286">
                <emph type="italics"/>
              At hoc dato, neceſſarium etiam eſt, vt quanto tempore gra­
                <lb/>
              ue deſcendens percurrit ſecundam partem DE, tantò præcisè
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              spatium duplò minus antè percurrerit; nempe SD, quod
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              ſupponitur dimidium ſuperioris spatij AD.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001287">An-non agnoſcis circulum? </s>
              <s id="s.001288">Neque enim alia ratio­
                <lb/>
              ne probas ſpatia continuò percurri in ratione dupla,
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              quàm quia ſupponis tanquam principium, partem DE
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              percurri tanto tempore, quantò dimidium SD. </s>
              <s id="s.001289">Sed
                <lb/>
              & hoc eſto. </s>
            </p>
            <p type="main">
              <s id="s.001290">
                <emph type="italics"/>
              Neceſſe eſt igitur, vt partes SD, & DE æquali
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              tempore percurrantur.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001291">Imò impoſſibile eſt; tantum abeſt, vt neceſſarium;
                <lb/>
              neque in te eſt, vt neceſſitatem probes, niſi priùs oſten­
                <lb/>
              deris velocitates eſſe vt ſpatia, quod tantum abeſt, vt
                <lb/>
              hactenus quidem præſtiteris, quin potiùs præſtare co­
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              natus, tuo in Bilance Experimento, ipſo euentu fueris
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              deluſus. </s>
              <s id="s.001292">Quanquam eſto & iſtud quoque. </s>
            </p>
            <p type="main">
              <s id="s.001293">
                <emph type="italics"/>
              At Tempus, quo percurritur SD pars inferior ipſius
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              AD, neceſſariò breuius eſt tempore, quo decurritur pars
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              ſuperior AS (alioquin motus per AD æquabilis eſſet, non
                <lb/>
              autem acceleratus, vt per ſe manifeſtum eſt.)
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001294">Admitto id quidem, ſed independenter ex tuis
                <lb/>
              principiis. </s>
            </p>
            <p type="main">
              <s id="s.001295">
                <emph type="italics"/>
              Pars igitur DE non percurritur in dimidio totius tem­
                <lb/>
              poris, quo decurritur AD, ſed in tempore aliquantò breuiore.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001296">Id quoque admitto; ſed omninò ex aliis principiis,
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              quàm tuis. </s>
            </p>
            <p type="main">
              <s id="s.001297">
                <emph type="italics"/>
              Et conſequenter pars DE non tranſcurritur velocitate
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
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