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

Table of figures

< >
< >
page |< < of 360 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000742">
                <pb pagenum="77" xlink:href="028/01/117.jpg"/>
              habeas iterum duodecim; compone deinde in vnum
                <lb/>
              duo tempora duorum ſequentium interuallorum, vi­
                <lb/>
              delicet trientem 4, & quadrantem 3, ac habebis non
                <lb/>
              duodecim, hoc eſt tempus æquale primo, ſed ſeptem
                <lb/>
              illius duodecimas dumtaxat; aut ſi duplices, etiam duo­
                <lb/>
              decimas quatuordecim. </s>
              <s id="s.000743">Adde pari modo quatuor
                <lb/>
              tempora quatuor aliorum interuallorum, hoc eſt par­
                <lb/>
              teis 5, 6, 7, 8, & habebis iterùm non duodecim, ſed
                <lb/>
              vix ampliùs quàm duodecimas ſeptem, cum ſemiſſe;
                <lb/>
              aut ſi duplices, etiam quidpiam amplius, quàm duode­
                <lb/>
              cimas quin lecim. </s>
              <s id="s.000744">Adde & quæ octo ſequuntur inter­
                <lb/>
              uallorum conſequentium; & habebis rursùs non duo­
                <lb/>
              decim, ſed duodecimas non omninò octo: aut ſi
                <lb/>
              duplices, etiam duodecimas ferè ſexdecim. </s>
              <s id="s.000745">Imò &
                <lb/>
              adde ſexdecim, quæ interuallorum ſuccedentium ſunt,
                <lb/>
              & vix habebis ampliùs, quàm duodecimas octo:
                <lb/>
              aut ſi duplices, etiam aliquid amplius quàm duodeci­
                <lb/>
              mas ſexdecim. </s>
              <s id="s.000746">Adde & quæ ſunt triginta duorum
                <lb/>
              proximorum, & habebis ſolùm duodecimas non om­
                <lb/>
              ninò octo cum triente: aut ſi duplices, etiam duodeci­
                <lb/>
              mas ſexdecim cum proximè beſſe, atque ita de cæteris.
                <lb/>
              </s>
              <s id="s.000747">Ex quo profecto ſit, vt videas nulla ratione cohærere,
                <lb/>
              quam ſubeſſe exiſtimaſti, æqualitatem temporum cum
                <lb/>
              ratione dupla ſpatiorum. </s>
            </p>
            <p type="main">
              <s id="s.000748">XLII. Denique, vt alia præteream, quæ tuo ex ra­
                <lb/>
              tiocinio, dum rationem duplam ſtabilire conaris, con­
                <lb/>
              ſequuntur incommoda; Sequitur ecce vt ſtabilias
                <lb/>
              non modò duplam, ſed etiam triplam, quadruplam,
                <lb/>
              decuplam, & quamlibet aliam. </s>
              <s id="s.000749">Nam vt de tripla ſo­
                <lb/>
              lùm dicam (cùm in cæteris idem iuris ſit) ac non </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>