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

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              <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"/>
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        <div xml:id="echoid-div363" type="section" level="1" n="123">
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            <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>
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