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-s268" xml:space="preserve">
              <pb file="0020" n="20" rhead="PRÆFATIO."/>
            bus de convenientia idearum cum rebus poſſimus judicium
              <lb/>
            ferre.</s>
            <s xml:id="echoid-s269" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s270" xml:space="preserve">Omnia ratiocinia Mathematica idearum tantum com-
              <lb/>
            parationem ſpectant; </s>
            <s xml:id="echoid-s271" xml:space="preserve">unde ſequitur contrarium contradi-
              <lb/>
            ctionem involvere. </s>
            <s xml:id="echoid-s272" xml:space="preserve">Triangulum rectilineum, cujus tres
              <lb/>
            anguli duos rectos non æquant, impoſſibile eſt; </s>
            <s xml:id="echoid-s273" xml:space="preserve">quia idea
              <lb/>
            trium angulorum trianguli, ipſa eſt idea duorum angulo-
              <lb/>
            rum rectorum. </s>
            <s xml:id="echoid-s274" xml:space="preserve">Ubi de rebus ipſis agitur, contraria
              <lb/>
            propoſitio impoſſibilis non ſemper datur. </s>
            <s xml:id="echoid-s275" xml:space="preserve">Indubitatum
              <lb/>
            eſt, ex. </s>
            <s xml:id="echoid-s276" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s277" xml:space="preserve">Petrum vivere, licet certiſſimum ſit, illum heri
              <lb/>
            potuiſſe mori. </s>
            <s xml:id="echoid-s278" xml:space="preserve">Cum autem in innumeris occaſionibus in ca-
              <lb/>
            ſu ſimili, cum certitudine, affirmandum aut negandum
              <lb/>
            ſit, cumque hoc clare ex rerum conſtitutione, deduca-
              <lb/>
            tur: </s>
            <s xml:id="echoid-s279" xml:space="preserve">ſequitur, in talibus occaſionibus, ratiocinia dari certa,
              <lb/>
            a Mathematicis demonſtrationibus neceſſario diverſa, vo-
              <lb/>
            luiſſe rerum conditorem. </s>
            <s xml:id="echoid-s280" xml:space="preserve">Qui enim homines neceſſita-
              <lb/>
            te cogit, de veritate aut falſitate propoſitionis pronun-
              <lb/>
            ciare, aſſentiendum eſſe, clare indicat, argumentis, qui-
              <lb/>
            bus judicium neceſſario nititur; </s>
            <s xml:id="echoid-s281" xml:space="preserve">& </s>
            <s xml:id="echoid-s282" xml:space="preserve">non digne de DEO ſen-
              <lb/>
            tit qui aliter ratiocinatur.</s>
            <s xml:id="echoid-s283" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s284" xml:space="preserve">Ut ad Phyſicam redeamus, in hac de convenientia re-
              <lb/>
            rum cum ideis ſenſibus dijudicandum. </s>
            <s xml:id="echoid-s285" xml:space="preserve">Extenſio, ex. </s>
            <s xml:id="echoid-s286" xml:space="preserve">gr.
              <lb/>
            </s>
            <s xml:id="echoid-s287" xml:space="preserve">materiæ & </s>
            <s xml:id="echoid-s288" xml:space="preserve">hujus ſoliditas, quæ hocfundamento affirman-
              <lb/>
            tur, extra omne dubium ſunt. </s>
            <s xml:id="echoid-s289" xml:space="preserve">Non hîc agitur, an ſen-
              <lb/>
            ſus quibuſdam in occaſionibus fallant, & </s>
            <s xml:id="echoid-s290" xml:space="preserve">quomodo error
              <lb/>
            vitetur, rem in genere hic examinamus.</s>
            <s xml:id="echoid-s291" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s292" xml:space="preserve">In Phyſicis de omnibus non poſſumus immediate ſenſi-
              <lb/>
            bus judicium ferre; </s>
            <s xml:id="echoid-s293" xml:space="preserve">datur & </s>
            <s xml:id="echoid-s294" xml:space="preserve">alia legitima, licet non </s>
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