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

Page concordance

< >
Scan Original
101 50
102
103
104
105 51
106 52
107 53
108 54
109 55
110 56
111
112
113
114 57
115 58
116 59
117 60
118 61
119 62
120 63
121 64
122
123
124
125 65
126 66
127 67
128 68
129 69
130 70
< >
page |< < (70) of 824 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div454" type="section" level="1" n="151">
          <p>
            <s xml:id="echoid-s2919" xml:space="preserve">
              <pb o="70" file="0120" n="130" rhead="PHYSICES ELEMENTA"/>
            Quod etiam ſequenti Experimento confirmatur.</s>
            <s xml:id="echoid-s2920" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div458" type="section" level="1" n="152">
          <head xml:id="echoid-head218" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          3.</head>
          <p>
            <s xml:id="echoid-s2921" xml:space="preserve">Dentur duo globi æquales, aut inæquales, unus ex plum-
              <lb/>
              <note position="left" xlink:label="note-0120-01" xlink:href="note-0120-01a" xml:space="preserve">295.</note>
            bo, alter ex ebore; </s>
            <s xml:id="echoid-s2922" xml:space="preserve">filis ſuſpendantur, ut forment pendu-
              <lb/>
            la æqualia; </s>
            <s xml:id="echoid-s2923" xml:space="preserve">vibrationes æquales, atque exiguæ utcunque
              <lb/>
            inæquales, ſunt æquè diuturnæ.</s>
            <s xml:id="echoid-s2924" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2925" xml:space="preserve">Sæpe loco fili virga ferrea tenuis ſed rigida adhibetur, & </s>
            <s xml:id="echoid-s2926" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0120-02" xlink:href="note-0120-02a" xml:space="preserve">296.</note>
            aliquan-do etiam pondera duo aut plura ei annectuntur, & </s>
            <s xml:id="echoid-s2927" xml:space="preserve">
              <lb/>
            vocatur pendulum compoſitum; </s>
            <s xml:id="echoid-s2928" xml:space="preserve">in eo caſu regulæ memora-
              <lb/>
            tæ locum non habent; </s>
            <s xml:id="echoid-s2929" xml:space="preserve">ſed iſta pendula ad ſimplicia revocan-
              <lb/>
            tur, determinando in iis punctum, in quo ſi pondera forent
              <lb/>
            juncta, vibrationes eſſent æquè diuturnæ cum vibrationibus
              <lb/>
            penduli compoſiti, Hocce punctum vocatur centrum oſcil-
              <lb/>
            lationis. </s>
            <s xml:id="echoid-s2930" xml:space="preserve">In ſcholio 2°. </s>
            <s xml:id="echoid-s2931" xml:space="preserve">methodum hujus determinandi ex-
              <lb/>
            plicamus.</s>
            <s xml:id="echoid-s2932" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2933" xml:space="preserve">Corpus cujuſcunque figuræ poteſt ſuſpendi, & </s>
            <s xml:id="echoid-s2934" xml:space="preserve">circa pun-
              <lb/>
            ctum, aut potius axem, vibrari; </s>
            <s xml:id="echoid-s2935" xml:space="preserve">in eo etiam poteſt deter-
              <lb/>
            minari centrum oſcillationis.</s>
            <s xml:id="echoid-s2936" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2937" xml:space="preserve">Quando linea recta, qualis eſt filum ferreum, circa ex-
              <lb/>
              <note position="left" xlink:label="note-0120-03" xlink:href="note-0120-03a" xml:space="preserve">297.</note>
            tremitatum alteram vibratur, centrum oſcillationis diſtat a
              <lb/>
            puncto ſuſpenſionis duabus partibus tertiis longitudinis fili.
              <lb/>
            </s>
            <s xml:id="echoid-s2938" xml:space="preserve">ut in eodem ſcholio demonſtramus.</s>
            <s xml:id="echoid-s2939" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div462" type="section" level="1" n="153">
          <head xml:id="echoid-head219" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          4.</head>
          <p>
            <s xml:id="echoid-s2940" xml:space="preserve">Lamina ferrea AB ita ſuſpenditur, ut circa extremita-
              <lb/>
              <note position="left" xlink:label="note-0120-04" xlink:href="note-0120-04a" xml:space="preserve">298.</note>
            tem A vibretur; </s>
            <s xml:id="echoid-s2941" xml:space="preserve">pendulum ſimplex CP, cujus longitudo eſt
              <lb/>
              <note position="left" xlink:label="note-0120-05" xlink:href="note-0120-05a" xml:space="preserve">TAB. VIII.
                <lb/>
              fig. 6.</note>
            duarum partium tertiarum AB, eodem tempore cum iſta
              <lb/>
            lamina dimittitur; </s>
            <s xml:id="echoid-s2942" xml:space="preserve">& </s>
            <s xml:id="echoid-s2943" xml:space="preserve">vibrationes penduli, & </s>
            <s xml:id="echoid-s2944" xml:space="preserve">laminæ, eo-
              <lb/>
            dem tempore peraguntur.</s>
            <s xml:id="echoid-s2945" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2946" xml:space="preserve">Vibrationes pendulorum, ut diximus, licet inæquales,
              <lb/>
            ſunt æquè diuturnæ , & </s>
            <s xml:id="echoid-s2947" xml:space="preserve">hæc pendulorum proprietas
              <note symbol="*" position="left" xlink:label="note-0120-06" xlink:href="note-0120-06a" xml:space="preserve">280</note>
            ximi uſus eſt in horologiis, quibus motus æquabilis, pen-
              <lb/>
            dulo adjuncto, communicatur.</s>
            <s xml:id="echoid-s2948" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2949" xml:space="preserve">Horologiis in diverſis locis tranſſatis vim gravitatis non
              <lb/>
              <note position="left" xlink:label="note-0120-07" xlink:href="note-0120-07a" xml:space="preserve">299.</note>
            ubique terrarum æqualem eſſe, enotuit ex eo, quod vibra-
              <lb/>
            tiones ejuſdem penduli, in diverſis regionibus, reſpectu
              <lb/>
            temporis, inæquales repertæ ſunt; </s>
            <s xml:id="echoid-s2950" xml:space="preserve">& </s>
            <s xml:id="echoid-s2951" xml:space="preserve">hæc gravitatis diver-
              <lb/>
            ſitas per pendula menſuratur.</s>
            <s xml:id="echoid-s2952" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum