Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

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          <p>
            <s xml:id="echoid-s572" xml:space="preserve">Reſp. </s>
            <s xml:id="echoid-s573" xml:space="preserve">partem ſpatii in alium locum translatam contradi-
              <lb/>
            ctionem involvere; </s>
            <s xml:id="echoid-s574" xml:space="preserve">ex immobilitate ergo partium ſpatii,
              <lb/>
            non ex impenetrabilitate, ſeu ſoliditate, ſequitur, duas par-
              <lb/>
            tes ſpatii confundi non poſſe.</s>
            <s xml:id="echoid-s575" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div51" type="section" level="1" n="28">
          <head xml:id="echoid-head63" xml:space="preserve">CAPUT IV.</head>
          <head xml:id="echoid-head64" style="it" xml:space="preserve">De Diviſibilitate Corporis in infinitum, & parti-
            <lb/>
          cularum Subtilitate.</head>
          <p>
            <s xml:id="echoid-s576" xml:space="preserve">EO quod corpus eſt extenſum etiam eſt diviſibile, ideſt,
              <lb/>
            in eo partes conſiderari poſſunt.</s>
            <s xml:id="echoid-s577" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s578" xml:space="preserve">Differt tamen corporis diviſibilitas, ab extenſionis divi-
              <lb/>
            ſibilitate, illius enim partes a ſe invicem ſeparari poſſunt.
              <lb/>
            </s>
            <s xml:id="echoid-s579" xml:space="preserve">Hæc vero proprietas cum ab extenſione pendeat, in exten-
              <lb/>
            ſione examinari debet: </s>
            <s xml:id="echoid-s580" xml:space="preserve">demonſtrata deinde facile ad corpus
              <lb/>
            transferri poterunt.</s>
            <s xml:id="echoid-s581" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s582" xml:space="preserve">Corpus eſt diviſibile in infinitum, id eſt, in ejus exten-
              <lb/>
              <note position="left" xlink:label="note-0036-01" xlink:href="note-0036-01a" xml:space="preserve">22.</note>
            ſione nulla pars quantumvis parva poteſt concipi, quin de-
              <lb/>
            tur adhuc alia minor.</s>
            <s xml:id="echoid-s583" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s584" xml:space="preserve">Sit linea AD, ad BF, perpendicularis; </s>
            <s xml:id="echoid-s585" xml:space="preserve">ut & </s>
            <s xml:id="echoid-s586" xml:space="preserve">GH, ad
              <lb/>
              <note position="left" xlink:label="note-0036-02" xlink:href="note-0036-02a" xml:space="preserve">TAB. II.
                <lb/>
              fig. 1.</note>
            parvam ab A diſtantiam, ad eandem etiam perpendicula-
              <lb/>
            ris; </s>
            <s xml:id="echoid-s587" xml:space="preserve">centris C,C,C,&</s>
            <s xml:id="echoid-s588" xml:space="preserve">c. </s>
            <s xml:id="echoid-s589" xml:space="preserve">& </s>
            <s xml:id="echoid-s590" xml:space="preserve">radiis CA, CA, &</s>
            <s xml:id="echoid-s591" xml:space="preserve">c. </s>
            <s xml:id="echoid-s592" xml:space="preserve">deſcribantur
              <lb/>
            circuli ſecantes lineam GH, in punctis e, e &</s>
            <s xml:id="echoid-s593" xml:space="preserve">c. </s>
            <s xml:id="echoid-s594" xml:space="preserve">quo major
              <lb/>
            eſt radius AC, eo minor eſt pars e G: </s>
            <s xml:id="echoid-s595" xml:space="preserve">radius poteſt in infi-
              <lb/>
            nitum augeri & </s>
            <s xml:id="echoid-s596" xml:space="preserve">ſic ergo minui pars e G; </s>
            <s xml:id="echoid-s597" xml:space="preserve">quæ tamen nunquam
              <lb/>
            ad nihilum poteſt redigi, quia circulus cum linea recta BF,
              <lb/>
            coincidere nunquam poteſt.</s>
            <s xml:id="echoid-s598" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s599" xml:space="preserve">Partes ergo magnitudinis cujuſcunque in infinitumpoſſunt
              <lb/>
            minui & </s>
            <s xml:id="echoid-s600" xml:space="preserve">nullus diviſionis datur finis.</s>
            <s xml:id="echoid-s601" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s602" xml:space="preserve">Innumeris aliis idem probari poteſt Mathematicis demon-
              <lb/>
            ſtrationibus.</s>
            <s xml:id="echoid-s603" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s604" xml:space="preserve">Ex hac diviſibilitate deducimus, data quavis materiæ par-
              <lb/>
              <note position="left" xlink:label="note-0036-03" xlink:href="note-0036-03a" xml:space="preserve">23.</note>
            ticula quantumvis exigua, & </s>
            <s xml:id="echoid-s605" xml:space="preserve">dato ſpatio quovis finito ut-
              <lb/>
            cunque amplo, poſſibile eſſe, ut materia iſtius arenulæ per
              <lb/>
            totum illud ſpatium diffundatur, atque ipſum ita </s>
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