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

List of thumbnails

< >
281
281 		282
282
283
283 (181) 		284
284 (182)
285
285 (183) 		286
286 (184)
287
287 (185) 		288
288 (186)
289
289 (187) 		290
290 (188)
< >
page |< < (186) of 824 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1007" type="section" level="1" n="248">
          <p style="it">
            <s xml:id="echoid-s7311" xml:space="preserve">
              <pb o="186" file="0264" n="288" rhead="PHYSICES ELEMENTA"/>
            te ictum quieſcit centrum gravitatis . </s>
            <s xml:id="echoid-s7312" xml:space="preserve">In hoc eodem
              <note position="left" xlink:label="note-0264-01" xlink:href="note-0264-01a" xml:space="preserve">656</note>
              <note symbol="*" position="left" xlink:label="note-0264-02" xlink:href="note-0264-02a" xml:space="preserve">500. 652.
                <lb/>
              622. 623.
                <lb/>
              654.</note>
            curſu, etiam quieſcit centrum hoc ſi @orpora ſint elaſtica .</s>
            <s xml:id="echoid-s7313" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0264-03" xlink:href="note-0264-03a" xml:space="preserve">562 629.
                <lb/>
              653. 654.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s7314" xml:space="preserve">Si corpora duo aut tria directe in ſ
              <unsure/>
            e mutuo incurrant & </s>
            <s xml:id="echoid-s7315" xml:space="preserve">
              <lb/>
            navis concipiatur ita agitata, ut corpora, poſitis his non e-
              <lb/>
            laſticis, in hac poſt ictum quieſcant, in hac ipſa anteictum
              <lb/>
              <note position="left" xlink:label="note-0264-04" xlink:href="note-0264-04a" xml:space="preserve">657.</note>
            quieſcit centrum gravitatis , & </s>
            <s xml:id="echoid-s7316" xml:space="preserve">in tali conflictu poſt
              <note symbol="*" position="left" xlink:label="note-0264-05" xlink:href="note-0264-05a" xml:space="preserve">655.</note>
            etiam quieſcit idem hoc centrum, ſi corpora ſint elaſtica
              <note symbol="*" position="left" xlink:label="note-0264-06" xlink:href="note-0264-06a" xml:space="preserve">656.</note>
            unde ſequitur navem hanc moveri ea velocitate, qua an-
              <lb/>
            te & </s>
            <s xml:id="echoid-s7317" xml:space="preserve">poſt ictum, commune corporum gravitatis centrum
              <lb/>
            fertur, cujus ergo centri motus non mutatur.</s>
            <s xml:id="echoid-s7318" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7319" xml:space="preserve">Hoc quoque locum habere in motibus memoratis in n.
              <lb/>
            </s>
            <s xml:id="echoid-s7320" xml:space="preserve">
              <note position="left" xlink:label="note-0264-07" xlink:href="note-0264-07a" xml:space="preserve">658.</note>
            633. </s>
            <s xml:id="echoid-s7321" xml:space="preserve">634. </s>
            <s xml:id="echoid-s7322" xml:space="preserve">636. </s>
            <s xml:id="echoid-s7323" xml:space="preserve">demonſtrabimus in ſcholio ſequenti 2.</s>
            <s xml:id="echoid-s7324" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7325" xml:space="preserve">In concurſu obliquo duorum corporum duos conſideravi-
              <lb/>
              <note position="left" xlink:label="note-0264-08" xlink:href="note-0264-08a" xml:space="preserve">659.</note>
            mus motus, unum quo directe in ſe mutuo incurrunt, al-
              <lb/>
            terum lateralem , qui in impactu non mutatur; </s>
            <s xml:id="echoid-s7326" xml:space="preserve">quare
              <note symbol="*" position="left" xlink:label="note-0264-09" xlink:href="note-0264-09a" xml:space="preserve">617.</note>
            que mutatur centri gravitatis motus lateralis; </s>
            <s xml:id="echoid-s7327" xml:space="preserve">ſed neque
              <lb/>
            juxta aliam directionem centri gravitatis motus mutari po-
              <lb/>
            teſt, quia impactu directo non mutatur ; </s>
            <s xml:id="echoid-s7328" xml:space="preserve">Idcirco
              <note symbol="*" position="left" xlink:label="note-0264-10" xlink:href="note-0264-10a" xml:space="preserve">657.</note>
            reſpectu motus hic variat & </s>
            <s xml:id="echoid-s7329" xml:space="preserve">velocitatem directionemque ſuam
              <lb/>
            ſervat commune corporum gravitatis centrum.</s>
            <s xml:id="echoid-s7330" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7331" xml:space="preserve">Unicum circa motum centri gravitatis notandum ſuper
              <lb/>
            eſt quod in Scholio ſequenti 1. </s>
            <s xml:id="echoid-s7332" xml:space="preserve">demonſtramus; </s>
            <s xml:id="echoid-s7333" xml:space="preserve">ſummam
              <lb/>
              <note position="left" xlink:label="note-0264-11" xlink:href="note-0264-11a" xml:space="preserve">660.</note>
            virium corporum quorumcumque concurrentium, æqualem
              <lb/>
            eſſe ſummæ vis quam haberent omnia corpora, ſimul agita-
              <lb/>
            ta ea velocitate, qua fertur cummune gravitatis centrum,
              <lb/>
            & </s>
            <s xml:id="echoid-s7334" xml:space="preserve">omnium virium quibus corpora reſpectu centri bujus mo-
              <lb/>
            ventur. </s>
            <s xml:id="echoid-s7335" xml:space="preserve">Id eſt ſi ſumma maſſarum per quadratum veloci-
              <lb/>
            tatis centri gravitatis multiplicetur, & </s>
            <s xml:id="echoid-s7336" xml:space="preserve">ſingulæ maſſæ mul-
              <lb/>
            tiplicentur per quadrata velocitatum, quibus ad gravitatis
              <lb/>
              <note position="left" xlink:label="note-0264-12" xlink:href="note-0264-12a" xml:space="preserve">661.</note>
            centrum tendunt, id eſt, quibus in nave, in qua centrum
              <lb/>
            gravitatis quieſceret agitata forent, ſumma omnium produ-
              <lb/>
            ctorum æqualis erit ſummæ productorum ſingularum maſ-
              <lb/>
            ſarum ductarum in quadrata velocitatum ſuarum. </s>
            <s xml:id="echoid-s7337" xml:space="preserve">Id circo
              <lb/>
            ſi mutatis motibus, ſuma virium in hac nave non mutetur,
              <lb/>
            neque mutabitur ſumma virium abſolutarum.</s>
            <s xml:id="echoid-s7338" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7339" xml:space="preserve">Propoſitio hæc univerſalis eſt; </s>
            <s xml:id="echoid-s7340" xml:space="preserve">ſed cum in hiſce </s>
          </p>
        </div>
      </text>
    </echo>
Impressum