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

Table of contents

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[191.] Experimentum 3.
[192.] CAPUT XXIII. De Colliſione corporum. Definitio I.
[193.] Definitio 2.
[194.] Definitio 3.
[195.] Machina Qua experimenta circa colliſiones corporum inſtituuntur.
[196.] Machina Alia, cujus ope eadem Experimenta circa colliſio-nes inſtituuntur.
[197.] Experimentumi.
[198.] Experimentum 2.
[199.] Experimentum 3.
[200.] Experimentum 4.
[201.] Experimentum 5.
[202.] Experimentum 6.
[203.] Experimentum 7.
[204.] Experimentum 8.
[205.] Experimentum 9.
[206.] Experimentum 10.
[207.] Experimentum 11.
[208.] Experimentum 12.
[209.] SCHOLIUM 1. Demonſtrationes n. 499. 510
[210.] Demonſtrationes Algebraicæ n. 513. 516.
[211.] SCHOLIUM 2. De percuſſione corporum lineis rigidis inter ſe cohæ-rentium, & circa centra agitatorum.
[212.] SCHOLIUM 3. Examen Experimenti circa corpora in lancem, aut brachium, libræ impingentia.
[213.] BILANX Qua altitudines conferuntur, a quibus corpus cadens, pondera paululum elevat.
[214.] Experimentum.
[215.] SCHOLIUM 4. De Centro oſcillationis, & percuſſionis.
[216.] CAPUT XXIV. De congreſſu corporum Elaſticorum.
[217.] Definitio.
[218.] Experimentum 1.
[219.] Regula I.
[220.] Regula II.
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            ſtituamus IF, prædicta ſumma æqualis erit rectangulo AL,
              <lb/>
            quod ſi dividatur per
              <emph style="sc">A</emph>
            C, ſummam maſſarum, quotiens di-
              <lb/>
            viſionis dabit
              <emph style="sc">A</emph>
            H, aut BI, velocitatem corporibus com-
              <lb/>
            munem poſt ictum.</s>
            <s xml:id="echoid-s5487" xml:space="preserve"/>
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        <div xml:id="echoid-div781" type="section" level="1" n="204">
          <head xml:id="echoid-head290" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          8.</head>
          <p>
            <s xml:id="echoid-s5488" xml:space="preserve">Globi duo æquales ex argilla molli ſuſpenduntur, ſi hi
              <lb/>
              <note position="left" xlink:label="note-0204-01" xlink:href="note-0204-01a" xml:space="preserve">514.</note>
            partem eandem verſus moveantur, P velocitate decem, Q
              <lb/>
              <note position="left" xlink:label="note-0204-02" xlink:href="note-0204-02a" xml:space="preserve">
                <emph style="sc">TAB. XXI.</emph>
                <lb/>
              fig. 1.</note>
            velocitate ſex; </s>
            <s xml:id="echoid-s5489" xml:space="preserve">poſt ictum motum ſimul continuabunt ve-
              <lb/>
            locitate octo.</s>
            <s xml:id="echoid-s5490" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5491" xml:space="preserve">Cum maſſæ ſint æquales unitate deſignari poſſunt, & </s>
            <s xml:id="echoid-s5492" xml:space="preserve">ſum-
              <lb/>
            ma productorum maſſarum per velocitates eſt ſedecim, quæ
              <lb/>
            ſi per ſummam maſſarum duo dividatur habemus ut in Ex-
              <lb/>
            perimento velocitatem octo,</s>
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        </div>
        <div xml:id="echoid-div783" type="section" level="1" n="205">
          <head xml:id="echoid-head291" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          9.</head>
          <p>
            <s xml:id="echoid-s5493" xml:space="preserve">Suſpenſis cylindris, eburneo E cujus maſſa eſt tria,
              <lb/>
              <note position="left" xlink:label="note-0204-03" xlink:href="note-0204-03a" xml:space="preserve">515.</note>
            & </s>
            <s xml:id="echoid-s5494" xml:space="preserve">ligneo argillam continenti G, cujus maſſa eſt duo, feran-
              <lb/>
              <note position="left" xlink:label="note-0204-04" xlink:href="note-0204-04a" xml:space="preserve">
                <emph style="sc">TA. XXII.</emph>
                <lb/>
              fig. 3.</note>
            tur hi ad eandem partem, primus velocitate duodecim, ſe-
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            cundus velocitate ſeptem, poſt ictum ſimul velocitate de-
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            cem moventur.</s>
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          <p>
            <s xml:id="echoid-s5496" xml:space="preserve">Multiplicando maſſam 3 per velocitatem 12, habemus
              <lb/>
            36, addito 14, producto maſſæ 2 per velocitatem 7, habe-
              <lb/>
            mus ſummam productorum 50, quæ ſi dividatur per ſum-
              <lb/>
            mam maſſarum 5, habemus velocitatem experimento dete-
              <lb/>
            ctam 10.</s>
            <s xml:id="echoid-s5497" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5498" xml:space="preserve">Si corpora tendant in partes contrarias, & </s>
            <s xml:id="echoid-s5499" xml:space="preserve">ex producto
              <lb/>
              <note position="left" xlink:label="note-0204-05" xlink:href="note-0204-05a" xml:space="preserve">516.</note>
            majori BM ſubtrahamus MI, & </s>
            <s xml:id="echoid-s5500" xml:space="preserve">ſubſtituamus IF, habe-
              <lb/>
              <note position="left" xlink:label="note-0204-06" xlink:href="note-0204-06a" xml:space="preserve">
                <emph style="sc">TAB. XX.</emph>
                <lb/>
              fig. 2.</note>
            mus BM æquale gnomoni AHLFEB; </s>
            <s xml:id="echoid-s5501" xml:space="preserve">ex quo ſi ſub-
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            trahamus productum BF, habemus HC diſſerentiam pro-
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            ductorum maſſarum per ſuas velocitates; </s>
            <s xml:id="echoid-s5502" xml:space="preserve">ſi autem hanc di-
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            vidamus per ſummam maſſarum AC, quotiens erit veloci-
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            tas quæſita BI, quæ dirigitur ad eandem partem cum BN:
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            </s>
            <s xml:id="echoid-s5503" xml:space="preserve">id eſt ambo corpora, velocitate detectâ, feruntur verſus
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            eandem partem cum corpore, cujus productum maßæ per
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            velocitatem alius productum ſimile excedit.</s>
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