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

Table of contents

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[221.] Experimentum 2.
[222.] Experimentum 3.
[223.] Experimentum 4.
[224.] Experimentum 5.
[225.] Experimentum 6.
[226.] Experimentum 7.
[227.] Experimentum 8.
[228.] Experimentum 9.
[229.] Experimentum 10.
[230.] Experimentum 11.
[231.] Experimentum 12.
[232.] SCHOLIUM I. Uberior demonſtratio n. 558.
[233.] SCHOLIUM 2. Illuſtratio circa mutuam corporum elaſticorum actionem.
[234.] SCHOLIUM 3. Paradoxi explicatio.
[235.] CAPUT XXV. De motu compoſito.
[236.] CAPUT XXVI. De Percuſſione obliqua. Definitio 1.
[237.] Definitio. 2.
[238.] Machina.
[239.] Experimentum. I.
[240.] CAPUT XXVII. De Colliſione compoſita. Definitio.
[241.] Experimentum. 1
[242.] Experimentum 2.
[243.] Experimentum 3.
[244.] SCHOLIUM 1. Demonſtrationes n. 623. 625. 626. 627.
[245.] SCHOLIUM 2. Inveſtigatio motus memorati in n. 633.
[246.] SCHOLIUM 3. Demonſtratio n. 637.
[247.] CAPUT XXVIII. De Motu Centri gravitatis.
[248.] Definitio.
[249.] SCHOLIUM 1. Demonſtratio n. 660.
[250.] SCHOLIUM 2. Demonſtrationes n. 658. ut & 648.
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            <s xml:id="echoid-s5536" xml:space="preserve">Quieſcat hoc, quamvis. </s>
            <s xml:id="echoid-s5537" xml:space="preserve">demonſtratio etiam corpori moto
              <lb/>
            applicari poſſit; </s>
            <s xml:id="echoid-s5538" xml:space="preserve">concipiamus ulterius duo corpora P, P;
              <lb/>
            </s>
            <s xml:id="echoid-s5539" xml:space="preserve">duo concipimus ut actio in corpus Q ſit directa; </s>
            <s xml:id="echoid-s5540" xml:space="preserve">moveantur
              <lb/>
            hæc, velocitatibus æqualibus, directionibus parallelis inter ſe,
              <lb/>
            & </s>
            <s xml:id="echoid-s5541" xml:space="preserve">axi corporis Q, moveantur etiam, ut ad Q perveniant ita, ut
              <lb/>
            corporis Q ſuperſicies tangat corpora P, P, in punctis in
              <lb/>
            quibus hæc ipſa ſuperſicies parallela eſt ipſi directioni mo-
              <lb/>
            tus; </s>
            <s xml:id="echoid-s5542" xml:space="preserve">Corpora ergo P, P, in corpus Q nullam exerunt acti-
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            onem, ubiad hoc perveniunt. </s>
            <s xml:id="echoid-s5543" xml:space="preserve">Dum motum continuant jux-
              <lb/>
            ta ſuperſicies excavatas ad, ab, in corpus Q premunt,
              <lb/>
            quod cum non retineatur cedit & </s>
            <s xml:id="echoid-s5544" xml:space="preserve">dum preſſio
              <note symbol="*" position="left" xlink:label="note-0206-01" xlink:href="note-0206-01a" xml:space="preserve"> 433.</note>
            tur acceleratur Q: </s>
            <s xml:id="echoid-s5545" xml:space="preserve">donec corpora P, P, hoc deſerant,
              <lb/>
            quod ſemper fiet antequam corpora P, P, puncta b & </s>
            <s xml:id="echoid-s5546" xml:space="preserve">d per-
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            veniant.</s>
            <s xml:id="echoid-s5547" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5548" xml:space="preserve">Hæc preſſio nullum exſerit effectum præter mo-
              <lb/>
            tum quem corpori Q communicat; </s>
            <s xml:id="echoid-s5549" xml:space="preserve">ideoque corpora P, P,
              <lb/>
            ex viribus tantum amittunt, quantum acquirit corpus Q .</s>
            <s xml:id="echoid-s5550" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0206-02" xlink:href="note-0206-02a" xml:space="preserve">458.</note>
            In hiſce attritum ſeponimus qui ſine quadam partium intro-
              <lb/>
            ceſſione dari non poteſt; </s>
            <s xml:id="echoid-s5551" xml:space="preserve">ideoque ſine virium deſtructione.
              <lb/>
            </s>
            <s xml:id="echoid-s5552" xml:space="preserve">In ſcholio autem 3°. </s>
            <s xml:id="echoid-s5553" xml:space="preserve">Cap, 28. </s>
            <s xml:id="echoid-s5554" xml:space="preserve">ipſos motus poſt concurſum
              <lb/>
            determinamus.</s>
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          </p>
          <p>
            <s xml:id="echoid-s5556" xml:space="preserve">Si corpus ut P ſimili actione premat in obſtaculum, quod
              <lb/>
              <note position="left" xlink:label="note-0206-03" xlink:href="note-0206-03a" xml:space="preserve">522.</note>
            hac preſſione non movetur, & </s>
            <s xml:id="echoid-s5557" xml:space="preserve">cujus partes ſatis arctè co-
              <lb/>
              <note position="left" xlink:label="note-0206-04" xlink:href="note-0206-04a" xml:space="preserve">
                <emph style="sc">TAB. XIX.</emph>
                <lb/>
              fig. 9.</note>
            hæreant, ut huic actioni non cedant, corpus ex vi ſua non
              <lb/>
            amittet; </s>
            <s xml:id="echoid-s5558" xml:space="preserve">in hoc caſu corporis preſſio in obſtaculum reſi-
              <lb/>
            ſtentiâ obſtaculi, quidem deſtruitur, ſed cum nul-
              <lb/>
            la detur partium introceſſio, neque vis communicata, nul-
              <lb/>
            lam etiam corpus P vim amittit; </s>
            <s xml:id="echoid-s5559" xml:space="preserve">ſic corpus quod ſuper
              <lb/>
            plano inclinato deſcendit eodem modo acceleratur ac cor-
              <lb/>
            pus quod libere cadit ſi ad eandem profunditatem ambo
              <lb/>
              <note symbol="*" position="left" xlink:label="note-0206-05" xlink:href="note-0206-05a" xml:space="preserve">271.</note>
            deſcendant ; </s>
            <s xml:id="echoid-s5560" xml:space="preserve">licet illud in planum premat. </s>
            <s xml:id="echoid-s5561" xml:space="preserve">In hiſce occa- ſionibus, illud quod obſtaculum in loco retinet corporis a-
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            ctionem deſtruit & </s>
            <s xml:id="echoid-s5562" xml:space="preserve">corpori vim communicat æqualem illi
              <lb/>
            quam actione ſua corpus amittit, quare ipſa corporis vis
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            non mutatur.</s>
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