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 |< < (50) of 824 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div359" type="section" level="1" n="122">
          <p>
            <s xml:id="echoid-s2238" xml:space="preserve">
              <pb o="50" file="0094" n="101" rhead="PHYSICES ELEMENTA"/>
            poſſet transferri, ſi ſingulæ ſolæ agerent & </s>
            <s xml:id="echoid-s2239" xml:space="preserve">non deſtruerentur ;</s>
            <s xml:id="echoid-s2240" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0094-01" xlink:href="note-0094-01a" xml:space="preserve">107.</note>
            cum punctum quieſcat, integras ſuas actiones ambæ ſimul in
              <lb/>
            hoc exerunt, & </s>
            <s xml:id="echoid-s2241" xml:space="preserve">conatur hoc per ambas ſimul lineas eodem tem-
              <lb/>
            pore moveri; </s>
            <s xml:id="echoid-s2242" xml:space="preserve">ſi autem per ambas ſimul transferatur dabitur in
              <lb/>
            b, in diagonali Ab, ductis eb ad Ad, & </s>
            <s xml:id="echoid-s2243" xml:space="preserve">db ad Ae parallelis; </s>
            <s xml:id="echoid-s2244" xml:space="preserve">am-
              <lb/>
            babus ergo potentiis conatur lineam Ab percurrer@ eo tempo-
              <lb/>
            re, quo poſſet percurrere Ae aut Ad; </s>
            <s xml:id="echoid-s2245" xml:space="preserve">duæ ergo memo-
              <lb/>
              <note position="left" xlink:label="note-0094-02" xlink:href="note-0094-02a" xml:space="preserve">221.</note>
            ratæ potentiæ adunicam per Ab agentem reducuntur, & </s>
            <s xml:id="echoid-s2246" xml:space="preserve">eſt
              <lb/>
            hæc potentia ad reliquas duas ut Ab ad Ad & </s>
            <s xml:id="echoid-s2247" xml:space="preserve">Ae,
              <lb/>
            id eſt, ut AB ad AD & </s>
            <s xml:id="echoid-s2248" xml:space="preserve">AE. </s>
            <s xml:id="echoid-s2249" xml:space="preserve">Æqualis eſt idcirco
              <lb/>
            potentia, qua punctum A trahitur per AB, poten-
              <lb/>
            tiæ, ad quam reliquæ duæ reducuntur, & </s>
            <s xml:id="echoid-s2250" xml:space="preserve">cum hac con-
              <lb/>
            trarie agit.</s>
            <s xml:id="echoid-s2251" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2252" xml:space="preserve">Nota eſt triangulorum proprietas, latera eſſe inter ſe ut
              <lb/>
            ſinus angulorum oppoſitorum; </s>
            <s xml:id="echoid-s2253" xml:space="preserve">ſunt ergo in æquilibrio po-
              <lb/>
              <note position="left" xlink:label="note-0094-03" xlink:href="note-0094-03a" xml:space="preserve">222.</note>
            tentiæ tres, quæ ſunt inter ſe ut ſinus angulorum directioni-
              <lb/>
            bus potentiarum oppoſitarum formatorum. </s>
            <s xml:id="echoid-s2254" xml:space="preserve">Id eſt, poten-
              <lb/>
            tia quæ per
              <emph style="sc">A</emph>
            E agit, eſt ut ſinus anguli BAD, & </s>
            <s xml:id="echoid-s2255" xml:space="preserve">ſic de
              <lb/>
            cæteris.</s>
            <s xml:id="echoid-s2256" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div363" type="section" level="1" n="123">
          <head xml:id="echoid-head179" xml:space="preserve">
            <emph style="sc">Machina</emph>
          </head>
          <head xml:id="echoid-head180" style="it" xml:space="preserve">Qua demonſtrantur quæ ſpectant punctum quod filis ad
            <lb/>
          partes diverſas trabitur.</head>
          <p>
            <s xml:id="echoid-s2257" xml:space="preserve">Machina hæc conſtat ex orbe ligneo, diametri circiter o-
              <lb/>
              <note position="left" xlink:label="note-0094-04" xlink:href="note-0094-04a" xml:space="preserve">223.</note>
            cto pollicum, horizontalis eſt & </s>
            <s xml:id="echoid-s2258" xml:space="preserve">pede ſuſtinetur; </s>
            <s xml:id="echoid-s2259" xml:space="preserve">in medio
              <lb/>
              <note position="left" xlink:label="note-0094-05" xlink:href="note-0094-05a" xml:space="preserve">TAB X
                <lb/>
              fig. 2.</note>
            craſſitiei ſulco circumdatur, quo Trochleæ ad libitum, in
              <lb/>
            quocunque circumferentiæ puncto, Machinæ junguntur.
              <lb/>
            </s>
            <s xml:id="echoid-s2260" xml:space="preserve">Sulco enim huic inſeritur lamina ænea, cui Trochlea per-
              <lb/>
            pendiculariter cohæret, ut in Frepræſentatur.</s>
            <s xml:id="echoid-s2261" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2262" xml:space="preserve">Orbis prædictus in ſuperiori parte paululum excavatur,
              <lb/>
            ut recipiat orbem minorem
              <emph style="sc">DFa</emph>
            , craſſitiei quartæ partis u-
              <lb/>
            nius pollicis, & </s>
            <s xml:id="echoid-s2263" xml:space="preserve">paululum ſupra orbem primum prominen-
              <lb/>
            tem; </s>
            <s xml:id="echoid-s2264" xml:space="preserve">ita ut filum ſuper Trochleâ, ut dictum, Machinæ an-
              <lb/>
            nexâ, horizontaliter extenſum ſuperficiem
              <emph style="sc">Da</emph>
            F perſtrin-
              <lb/>
            gat.</s>
            <s xml:id="echoid-s2265" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2266" xml:space="preserve">Varii, pro variis Experimentis, tales requiruntur orbes
              <lb/>
            minores. </s>
            <s xml:id="echoid-s2267" xml:space="preserve">Charta ab utraque parte obteguntur, ut </s>
          </p>
        </div>
      </text>
    </echo>
Impressum