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

Table of contents

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[61.] LIBRI I. PARS II. De Actionibus Potentiarum. CAPUT VII. De Actionibus Potentiarum comparandis.
[62.] Definitio.
[63.] CAPUT VIII. Generalia circa Gravitatem. Phænomenon i.
[64.] Definitio. 1.
[65.] Definitio 2.
[66.] Phænomenon 2.
[67.] Phænomenon 3.
[68.] Machina
[69.] Experimentum
[70.] CAPUT IX.
[71.] Definitio 1.
[72.] Definitio 2.
[73.] Definitio 3.
[74.] Definitio 4.
[75.] Experimentum 1.
[76.] Experimentum 2.
[77.] Definitio 5.
[78.] Definitio 6.
[79.] Experimentum 3.
[80.] Experimentum 4.
[81.] Experimentum 5.
[82.] Experimentum 6.
[83.] Definitio 7.
[84.] Experimentum 7.
[85.] Experimentum 8.
[86.] Experimentum 9.
[87.] Experimentum 10.
[88.] Experimentum 11.
[89.] Experimentum 13.
[90.] SCHOLIUM De centro Gravitatis.
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        <div xml:id="echoid-div199" type="section" level="1" n="70">
          <head xml:id="echoid-head116" xml:space="preserve">CAPUT IX.</head>
          <p style="it">
            <s xml:id="echoid-s1452" xml:space="preserve">De Trochlea ſimplici, Libra, & </s>
            <s xml:id="echoid-s1453" xml:space="preserve">Centro gravitatis.</s>
            <s xml:id="echoid-s1454" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div200" type="section" level="1" n="71">
          <head xml:id="echoid-head117" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          1.</head>
          <p>
            <s xml:id="echoid-s1455" xml:space="preserve">TRochlea ſimplex, eſt orbiculus circa axem volubilis,
              <lb/>
              <note position="left" xlink:label="note-0060-01" xlink:href="note-0060-01a" xml:space="preserve">123.</note>
            cui circumpo ſitus funis ductarius dictus, Trochlea ex-
              <lb/>
              <note position="left" xlink:label="note-0060-02" xlink:href="note-0060-02a" xml:space="preserve">TAB. II.
                <lb/>
              48. 19.</note>
            hibetur in A, funis ductarius eſt d c e.</s>
            <s xml:id="echoid-s1456" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1457" xml:space="preserve">Hac Machinâ potentiæ directio mutatur, nec ullîus alîus
              <lb/>
            uſus eſt, quando ſuo loco eſt fixa; </s>
            <s xml:id="echoid-s1458" xml:space="preserve">in hoc enim caſu, vis,
              <lb/>
              <note position="left" xlink:label="note-0060-03" xlink:href="note-0060-03a" xml:space="preserve">124.</note>
            ſeu potentia, funi ductario applicata, ut M, æqualis impedi-
              <lb/>
            mento P, æquipollet impedimento ; </s>
            <s xml:id="echoid-s1459" xml:space="preserve">nam potentia
              <note symbol="*" position="left" xlink:label="note-0060-04" xlink:href="note-0060-04a" xml:space="preserve">100.</note>
            non poteſt, quin impedimentum eodem tempore ſpatium
              <lb/>
            æquale percurrat.</s>
            <s xml:id="echoid-s1460" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1461" xml:space="preserve">Pondera explorantur, id eſt, quantitates materiæ in ſin-
              <lb/>
            gulis corporibus comparantur , adhibitâ librâ aut
              <note symbol="*" position="left" xlink:label="note-0060-05" xlink:href="note-0060-05a" xml:space="preserve">121.</note>
            inſtrumento notiſſimo.</s>
            <s xml:id="echoid-s1462" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div204" type="section" level="1" n="72">
          <head xml:id="echoid-head118" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          2.</head>
          <p style="it">
            <s xml:id="echoid-s1463" xml:space="preserve">Axis libræ vocatur linea circa quam libra movetur, aut
              <lb/>
              <note position="left" xlink:label="note-0060-06" xlink:href="note-0060-06a" xml:space="preserve">125.</note>
            potius rotatur.</s>
            <s xml:id="echoid-s1464" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div206" type="section" level="1" n="73">
          <head xml:id="echoid-head119" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          3.</head>
          <p>
            <s xml:id="echoid-s1465" xml:space="preserve">Quando longitudinem brachiorum ſive jugi conſideramus,
              <lb/>
              <note position="left" xlink:label="note-0060-07" xlink:href="note-0060-07a" xml:space="preserve">126.</note>
            axis conſideratur ut punctum, & </s>
            <s xml:id="echoid-s1466" xml:space="preserve">vocatur centrum libræ.</s>
            <s xml:id="echoid-s1467" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div208" type="section" level="1" n="74">
          <head xml:id="echoid-head120" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          4.</head>
          <p>
            <s xml:id="echoid-s1468" xml:space="preserve">Puncta ſuſpenſionis, aut applicationis, vocantur, puncta
              <lb/>
              <note position="left" xlink:label="note-0060-08" xlink:href="note-0060-08a" xml:space="preserve">127.</note>
            in quibus vel actu ſunt, vel liberè dependent pondera, aut lan-
              <lb/>
            ces, quibus pondera imponuntur.</s>
            <s xml:id="echoid-s1469" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1470" xml:space="preserve">Circa hanc Machinam ſequentia notanda ſunt.</s>
            <s xml:id="echoid-s1471" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1472" xml:space="preserve">Pondus æqualiter gravat punctum, ſi liberè ab eo depen-
              <lb/>
              <note position="left" xlink:label="note-0060-09" xlink:href="note-0060-09a" xml:space="preserve">128.</note>
            deat, ad quamcunque altitudinem, ac ſi pondus in ipſo poſitum
              <lb/>
            intelligeretur.</s>
            <s xml:id="echoid-s1473" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1474" xml:space="preserve">Pondus enim corporis ad omnes altitudines æqualiter tra-
              <lb/>
            hit funem quo ſuſpenditur .</s>
            <s xml:id="echoid-s1475" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0060-10" xlink:href="note-0060-10a" xml:space="preserve">115. 116.</note>
            </s>
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        </div>
        <div xml:id="echoid-div212" type="section" level="1" n="75">
          <head xml:id="echoid-head121" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          1.</head>
          <p>
            <s xml:id="echoid-s1476" xml:space="preserve">In libra AB, pondus P, ope funis BD, ad varias ſuſpen-
              <lb/>
              <note position="left" xlink:label="note-0060-11" xlink:href="note-0060-11a" xml:space="preserve">TAB. III.
                <lb/>
              fig. 2.</note>
            ditur altitudines; </s>
            <s xml:id="echoid-s1477" xml:space="preserve">& </s>
            <s xml:id="echoid-s1478" xml:space="preserve">eo ſitus libræ non mutatur.</s>
            <s xml:id="echoid-s1479" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s1480" xml:space="preserve">Actio ponderis ad movendam libram eo major eſt, quoma-
              <lb/>
              <note position="left" xlink:label="note-0060-12" xlink:href="note-0060-12a" xml:space="preserve">129.</note>
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