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

Table of contents

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[11.] LIBRI I. PARS II. De Actionibus Potentiarum.
[12.] LIBRI I. PARS III. De Motibus, Potentiarum Actionibus, Variatis.
[13.] LIBRI I. PARS IV. De Viribus inſitis, & Colliſione corporum.
[14.] LIBRI II. PARS I. De Gravitate & Preſſione Fluidorum.
[15.] LIBRI II. PARS II. De Motu & Reſiſtentia Fluidorum.
[16.] LIBRI II. PARS III. De Aëre & aliis Fluidis Elaſticis.
[17.] PHYSICES ELEMENTA MATHEMATICA, EXPERIMENTIS CONFIRMATA. LIBER I. Pars I. de Corpore in genere. CAPUT I. De Scopo Phyſices & Regulis philoſophandi.
[18.] Definitio 1. & 2.
[19.] Definitio 3.
[20.] Definitio 4.
[21.] Regula 1.
[22.] Regula 2.
[23.] Regula 3.
[24.] CAPUT II. De Corpore in genere.
[25.] CAPUT III. De Extenſione, Soliditate, & Vacuo.
[26.] Experimentum 1.
[27.] Experimentum 2.
[28.] CAPUT IV. De Diviſibilitate Corporis in infinitum, & parti-cularum Subtilitate.
[29.] SCHOLIUM. De Materiæ Diviſibilitate
[30.] Infinitum finito contineri.
[31.] De Spirali logaritbmicâ, & bujus menſurâ.
[32.] De infinitorum Inæqualitate
[33.] De infinitorum claſſibus.
[34.] SCHOLIUM 2. De partium Subtilitate.
[35.] CAPUT V. De cobæſione partium, ubi de Duritie, Mollitie, Fluidi-tate, & Elaſticitate agitur.
[36.] Definitio 1.
[37.] Definitio 2.
[38.] Definitio 3.
[39.] Definitio 4.
[40.] Experimentum 1.
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            mento Metaphyſico noviſſe, & </s>
            <s xml:id="echoid-s246" xml:space="preserve">has omnibus momentis
              <lb/>
            in effectibus ipſis contemplari.</s>
            <s xml:id="echoid-s247" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s248" xml:space="preserve">Satis ergo patet, quinam ſit ſcopus Phyſices, exqui-
              <lb/>
            bus Naturæ Legibus Phænomena ſint deducenda; </s>
            <s xml:id="echoid-s249" xml:space="preserve">& </s>
            <s xml:id="echoid-s250" xml:space="preserve">qua-
              <lb/>
            re, quando ad Leges generales pervenimus, non ulterius
              <lb/>
            in cauſarum cognitionem penetrare poſſimus. </s>
            <s xml:id="echoid-s251" xml:space="preserve">Supereſt,
              <lb/>
            ut de ipſarum Legum inveſtigatione dicamus, & </s>
            <s xml:id="echoid-s252" xml:space="preserve">tres re-
              <lb/>
            gulas Newtonianas in primo hujus Operis capite traditas
              <lb/>
            ſequendas eſſe probemus.</s>
            <s xml:id="echoid-s253" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s254" xml:space="preserve">Prima eſt, cauſas rerum naturalium non plures admitti
              <lb/>
            debere quam quæ veræ ſint, & </s>
            <s xml:id="echoid-s255" xml:space="preserve">earum Phænomenis expli-
              <lb/>
            candis ſufficiant. </s>
            <s xml:id="echoid-s256" xml:space="preserve">Pars prior ex ante dictis pleniſſime ſequi-
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            tur. </s>
            <s xml:id="echoid-s257" xml:space="preserve">Altera a nemine, qui ſapientem rerum Conditorem
              <lb/>
            non negat, in dubium vocari poteſt; </s>
            <s xml:id="echoid-s258" xml:space="preserve">ſi cauſa non ſuffi-
              <lb/>
            cit, veram non eſſe ſponte ſequitur; </s>
            <s xml:id="echoid-s259" xml:space="preserve">ſi ſufficit aliam fu-
              <lb/>
            peraddere inutile erit. </s>
            <s xml:id="echoid-s260" xml:space="preserve">Adde effectum ex duplici cauſa
              <lb/>
            nunquam exactiſſime eundem eſſe cum effectu ex ſimplici;
              <lb/>
            </s>
            <s xml:id="echoid-s261" xml:space="preserve">ergo duabus effectus explicetur, unica non ſufficiet.</s>
            <s xml:id="echoid-s262" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s263" xml:space="preserve">Regulæ duæ ſequentes ut probentur, quædam generalia
              <lb/>
            præmittenda ſunt.</s>
            <s xml:id="echoid-s264" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s265" xml:space="preserve">Jam monuimus Demonſtrationes Mathematicas niſi
              <lb/>
            circa ideas non verſari, & </s>
            <s xml:id="echoid-s266" xml:space="preserve">ubi de rebus ipſis agitur ante
              <lb/>
            omnia requiri, ut cum rebus ideæ conveniant, quod nul-
              <lb/>
            lâ Mathematicâ demonſtratione probari poteſt. </s>
            <s xml:id="echoid-s267" xml:space="preserve">Cum
              <lb/>
            tamen omnibus momentis circa resipſas ratiocinandum
              <lb/>
            ſit, & </s>
            <s xml:id="echoid-s268" xml:space="preserve">nil de rebus in mente dari poſſit præter ha-
              <lb/>
            rum ideas, ratiociniaque omnia ideas immediate ſpe-
              <lb/>
            ctent, ſequitur a DEO conſtitutas quaſdam regulas, </s>
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