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-s17673" xml:space="preserve">
              <pb o="(154)" file="0682" n="752" rhead="PHYSICES ELEMENTA"/>
            tritum & </s>
            <s xml:id="echoid-s17674" xml:space="preserve">vulgare admodum eſt argumentum, cujus vis ut pa-
              <lb/>
            teat, conſiderandum, non quidem omnes motus ſine vacuo
              <lb/>
            impoſſibiles eſſe, ſed pleroſque illorum, qui quotidie obſer-
              <lb/>
            vantur, quod longiori diſcuſſione pleniſſimè poſſe evinci, per-
              <lb/>
            ſuaſum habeo; </s>
            <s xml:id="echoid-s17675" xml:space="preserve">ſed ſequenti conſideratione ita clarè patêre
              <lb/>
            mihi videtur, ut plura addere inutile foret.</s>
            <s xml:id="echoid-s17676" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s17677" xml:space="preserve">Non mutabilem figuram habent particulæ omnium minimæ;
              <lb/>
            </s>
            <s xml:id="echoid-s17678" xml:space="preserve">nam conſtat particula, cujus figura mutatur, ex particulis
              <lb/>
            minoribus, quæ inter ſe moventur, & </s>
            <s xml:id="echoid-s17679" xml:space="preserve">ideò, ſi figuram mu-
              <lb/>
            tabilem habet, non eſt ex particulis omnium minimis.</s>
            <s xml:id="echoid-s17680" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s17681" xml:space="preserve">Si autem figura harum particularum ſit immutabilis, & </s>
            <s xml:id="echoid-s17682" xml:space="preserve">
              <lb/>
            corpus inter has poſſit moveri, ſine tali ſeparatione particula-
              <lb/>
            rum, quæ interſtitium vacuum relinquit, pendebit hoc à fi-
              <lb/>
            gurâ particularum, & </s>
            <s xml:id="echoid-s17683" xml:space="preserve">à relatione, quam habent inter ſe, quod
              <lb/>
            Mathematicus non negabit: </s>
            <s xml:id="echoid-s17684" xml:space="preserve">idcirco ſi hiſce ſervatis (figurâ & </s>
            <s xml:id="echoid-s17685" xml:space="preserve">
              <lb/>
            relatione) augeantur particulæ, & </s>
            <s xml:id="echoid-s17686" xml:space="preserve">in hoc caſu corpora ſine
              <lb/>
            vacuo moveri poterunt.</s>
            <s xml:id="echoid-s17687" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s17688" xml:space="preserve">Videat nunc quis, auctis particulis minimis, ut magnitu-
              <lb/>
            dine pedem cubicum æquent, quæcunque fuerit harum fi-
              <lb/>
            gura, & </s>
            <s xml:id="echoid-s17689" xml:space="preserve">cum cæteris particulis relatio, quas, in eadem ra-
              <lb/>
            tione, cum primis auctas ponimus, utrum corpora magnitu-
              <lb/>
            dinis cujuſcunque, inter has particulas poſſint ferri per rectas
              <lb/>
            lineas, & </s>
            <s xml:id="echoid-s17690" xml:space="preserve">per curvas quaſcunque, nunquam ſeparatis parti-
              <lb/>
            culis, ut ſpatia vacua inter has dentur.</s>
            <s xml:id="echoid-s17691" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s17692" xml:space="preserve">Particulas ſubtiliſſimas conceptu non aſſequimur, & </s>
            <s xml:id="echoid-s17693" xml:space="preserve">ideò
              <lb/>
            ſæpè his tribuimus proprietates, quæ ex harum figurâ non ſe-
              <lb/>
            quuntur, qui corriguntur errores, ſi particulas auctas ima-
              <lb/>
            ginemur.</s>
            <s xml:id="echoid-s17694" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s17695" xml:space="preserve">Etiam argumento, ex reſiſtentiâ deducto, vacuum dari
              <lb/>
              <note position="left" xlink:label="note-0682-01" xlink:href="note-0682-01a" xml:space="preserve">1240.</note>
            probamus.</s>
            <s xml:id="echoid-s17696" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s17697" xml:space="preserve">Materiam inertem eſſe diximus , circa vocem
              <note symbol="*" position="left" xlink:label="note-0682-02" xlink:href="note-0682-02a" xml:space="preserve">12.</note>
            contendunt, rem ipſam nemo negat; </s>
            <s xml:id="echoid-s17698" xml:space="preserve">Ex hac ſequitur, non
              <lb/>
            poſſe per fluidum corpus moveri, quin patiatur reſiſtentiam
              <note symbol="*" position="left" xlink:label="note-0682-03" xlink:href="note-0682-03a" xml:space="preserve">319.</note>
            ideoque retardationem . </s>
            <s xml:id="echoid-s17699" xml:space="preserve">Reſiſtentia ex materiæ
              <note symbol="*" position="left" xlink:label="note-0682-04" xlink:href="note-0682-04a" xml:space="preserve">330.</note>
            quam hic ſolam conſideramus, pendet à materiæ quantitate
              <lb/>
            ex loco removendæ, quæ eadem eſt, ſive partes fluidi ſint
              <lb/>
            majores, ſive minores, ſi corporis celeritas maneat: </s>
            <s xml:id="echoid-s17700" xml:space="preserve">unde </s>
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