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 |< < (64) of 824 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div423" type="section" level="1" n="144">
          <p>
            <s xml:id="echoid-s2731" xml:space="preserve">
              <pb o="64" file="0112" n="121" rhead="PHYSICES ELEMENTA"/>
            velocitates ſunt in eadem ratione quam in principio caſus ;</s>
            <s xml:id="echoid-s2732" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0112-01" xlink:href="note-0112-01a" xml:space="preserve">251. 263.</note>
            id eſt, ut AC ad
              <emph style="sc">A</emph>
            B Quando corpus deſcendit a G ad
              <note symbol="*" position="left" xlink:label="note-0112-02" xlink:href="note-0112-02a" xml:space="preserve">237.</note>
            creſcit velocitas ut tempus ; </s>
            <s xml:id="echoid-s2733" xml:space="preserve">& </s>
            <s xml:id="echoid-s2734" xml:space="preserve">velocitas in G eſt ad
              <note symbol="*" position="left" xlink:label="note-0112-03" xlink:href="note-0112-03a" xml:space="preserve">263.</note>
            citatem in B, ut
              <emph style="sc">A</emph>
            C ad
              <emph style="sc">A</emph>
            B : </s>
            <s xml:id="echoid-s2735" xml:space="preserve">velocitates ergo in B & </s>
            <s xml:id="echoid-s2736" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0112-04" xlink:href="note-0112-04a" xml:space="preserve">269.</note>
            eandem rationem habent ad velocitatem in G, & </s>
            <s xml:id="echoid-s2737" xml:space="preserve">ſunt æ-
              <lb/>
            quales. </s>
            <s xml:id="echoid-s2738" xml:space="preserve">Ex hiſce deducimus corpus eandem acquirere ve-
              <lb/>
              <note position="left" xlink:label="note-0112-05" xlink:href="note-0112-05a" xml:space="preserve">271</note>
            locitatem, cadendo a certa altitudine, ſive directe cadat,
              <lb/>
            ſive per planum inclinatum devolvatur. </s>
            <s xml:id="echoid-s2739" xml:space="preserve">Et, cum angulus
              <lb/>
            inclinationis nullam adferat mutationem, poteſt corpus de-
              <lb/>
            volvi per plurima plana varie inclinata, & </s>
            <s xml:id="echoid-s2740" xml:space="preserve">etiam per cur-
              <lb/>
            vam, (quæ ut ex innumeris planis diverſe inclinatis concinna-
              <lb/>
            ta conſiderari poteſt) & </s>
            <s xml:id="echoid-s2741" xml:space="preserve">celeritas ſemper erit eadem, quando al-
              <lb/>
            titudo eſt æqualis. </s>
            <s xml:id="echoid-s2742" xml:space="preserve">Non enim intereſt, utrum Corpus de-
              <lb/>
              <note position="left" xlink:label="note-0112-06" xlink:href="note-0112-06a" xml:space="preserve">TAB. X.
                <lb/>
              fig. 10.</note>
            ſcendat per
              <emph style="sc">A</emph>
            B an per
              <emph style="sc">Eb</emph>
            , in Beadem erit celeritas & </s>
            <s xml:id="echoid-s2743" xml:space="preserve">eo-
              <lb/>
            dem modo corpus movebitur per BC; </s>
            <s xml:id="echoid-s2744" xml:space="preserve">ideoque habebit in
              <lb/>
            C velocitatem, quam devolvendo per
              <emph style="sc">Ec</emph>
            potuiſſet acqui-
              <lb/>
            rere, & </s>
            <s xml:id="echoid-s2745" xml:space="preserve">in D velocitatem, quam cadendo per GD habuiſ-
              <lb/>
            ſet.</s>
            <s xml:id="echoid-s2746" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div430" type="section" level="1" n="145">
          <head xml:id="echoid-head209" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          1.</head>
          <p>
            <s xml:id="echoid-s2747" xml:space="preserve">In hoc Experimento notandum, corpus filo ſuſpenſum,
              <lb/>
              <note position="left" xlink:label="note-0112-07" xlink:href="note-0112-07a" xml:space="preserve">272</note>
            & </s>
            <s xml:id="echoid-s2748" xml:space="preserve">cadendo curvam deſcribens, eodem modo cadere ac ſi
              <lb/>
            eandem curvam, in plano excavatam, ſine attritu percur-
              <lb/>
            reret. </s>
            <s xml:id="echoid-s2749" xml:space="preserve">Corpus filo ſuſpenſum cadat ab altitudine
              <emph style="sc">A</emph>
            C,
              <lb/>
              <note position="left" xlink:label="note-0112-08" xlink:href="note-0112-08a" xml:space="preserve">TAB. XI.
                <lb/>
              fig 1.</note>
            per curvam DC, & </s>
            <s xml:id="echoid-s2750" xml:space="preserve">per curvam EC, & </s>
            <s xml:id="echoid-s2751" xml:space="preserve">per curvam FGHC
              <lb/>
            ex portionibus variorum circulorum formatam, & </s>
            <s xml:id="echoid-s2752" xml:space="preserve">in
              <lb/>
            omni caſu, ad eandem altitudinem eandem percurrens curvam
              <lb/>
            adſcendet.</s>
            <s xml:id="echoid-s2753" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2754" xml:space="preserve">Corpus ea cum celeritate, quam cadendo per ſuperficiem
              <lb/>
              <note position="left" xlink:label="note-0112-09" xlink:href="note-0112-09a" xml:space="preserve">273.</note>
            quamcunque, ſive planam, ſive curvam, acquiſivit, per a-
              <lb/>
            liam ſuperficiem ſimilem ad eandem altitudinem, eodem tem-
              <lb/>
            pore, adſcendere poteſt .</s>
            <s xml:id="echoid-s2755" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0112-10" xlink:href="note-0112-10a" xml:space="preserve">259. 264. 271.</note>
            </s>
          </p>
          <p style="it">
            <s xml:id="echoid-s2756" xml:space="preserve">Corpus ea cum celeritate, quam cadendo a certa altitudi-
              <lb/>
              <note position="left" xlink:label="note-0112-11" xlink:href="note-0112-11a" xml:space="preserve">274.</note>
            ne acquiſivit, ad eandem altitudinem per curvam quamcun-
              <lb/>
            que adſcendere poteſt.</s>
            <s xml:id="echoid-s2757" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div434" type="section" level="1" n="146">
          <head xml:id="echoid-head210" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          2.</head>
          <p>
            <s xml:id="echoid-s2758" xml:space="preserve">Corpus P filo ſuſpenſum cadat ab altitudine
              <emph style="sc">A</emph>
            C, per
              <lb/>
              <note position="left" xlink:label="note-0112-12" xlink:href="note-0112-12a" xml:space="preserve">275.
                <lb/>
              FAB. VIII.
                <lb/>
              fig. 1.</note>
            </s>
          </p>
        </div>
      </text>
    </echo>
Impressum