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

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        <div xml:id="echoid-div369" type="section" level="1" n="125">
          <p>
            <s xml:id="echoid-s2311" xml:space="preserve">
              <pb o="52" file="0098" n="106" rhead="PHYSICES ELEMENTA"/>
            nam reducantur, incidimus in exemplum præcedens.</s>
            <s xml:id="echoid-s2312" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div372" type="section" level="1" n="126">
          <head xml:id="echoid-head183" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          3.</head>
          <p>
            <s xml:id="echoid-s2313" xml:space="preserve">Punctum C quinque potentiis trahitur, filis CA, CB,
              <lb/>
              <note position="left" xlink:label="note-0098-01" xlink:href="note-0098-01a" xml:space="preserve">228.</note>
            CD, CE, & </s>
            <s xml:id="echoid-s2314" xml:space="preserve">CF; </s>
            <s xml:id="echoid-s2315" xml:space="preserve">potentiæ ſunt inter ſe ut pondera qui-
              <lb/>
              <note position="left" xlink:label="note-0098-02" xlink:href="note-0098-02a" xml:space="preserve">TAB. IX.
                <lb/>
              fig. 1</note>
            bus fila trahuntur, & </s>
            <s xml:id="echoid-s2316" xml:space="preserve">illa habent inter ſe proportionem nu-
              <lb/>
            merorum Trochleis in figura adſcriptorum, & </s>
            <s xml:id="echoid-s2317" xml:space="preserve">æquilibrium
              <lb/>
            datur.</s>
            <s xml:id="echoid-s2318" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2319" xml:space="preserve">Potentiæ per CB & </s>
            <s xml:id="echoid-s2320" xml:space="preserve">CD ad unicam reducuntur per
              <lb/>
            CG; </s>
            <s xml:id="echoid-s2321" xml:space="preserve">potentiæ agentes per CE & </s>
            <s xml:id="echoid-s2322" xml:space="preserve">CF ad unicam reducun-
              <lb/>
            tur per CH, & </s>
            <s xml:id="echoid-s2323" xml:space="preserve">ita verſamur in caſu n. </s>
            <s xml:id="echoid-s2324" xml:space="preserve">220; </s>
            <s xml:id="echoid-s2325" xml:space="preserve">tandem iſtæ
              <lb/>
            duæ novæ potentiæ, per CH & </s>
            <s xml:id="echoid-s2326" xml:space="preserve">CG, ad unicam reducun-
              <lb/>
            tur per Ca, quæ quintæ per CA æqualis eſt, & </s>
            <s xml:id="echoid-s2327" xml:space="preserve">cum hac
              <lb/>
            in eadem linea, ſed contrarie, agit.</s>
            <s xml:id="echoid-s2328" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2329" xml:space="preserve">Ex memorata propoſitione n. </s>
            <s xml:id="echoid-s2330" xml:space="preserve">220. </s>
            <s xml:id="echoid-s2331" xml:space="preserve">deducimus ulterius,
              <lb/>
              <note position="left" xlink:label="note-0098-03" xlink:href="note-0098-03a" xml:space="preserve">229.</note>
            actionem potentiæ cujusvis poſſe reſolvi in actiones
              <lb/>
            duarum aliarum potentiarum, & </s>
            <s xml:id="echoid-s2332" xml:space="preserve">illud quidem innumeris
              <lb/>
            modis, propter innumera triangula, quæ formari poſſunt
              <lb/>
            ſervato eodem latere. </s>
            <s xml:id="echoid-s2333" xml:space="preserve">Eo poſſumus in omnibus Machinis
              <lb/>
            reducere potentiam oblique agentem ad directam, & </s>
            <s xml:id="echoid-s2334" xml:space="preserve">pro-
              <lb/>
            portionem inter directam & </s>
            <s xml:id="echoid-s2335" xml:space="preserve">obliquam determinare; </s>
            <s xml:id="echoid-s2336" xml:space="preserve">quod
              <lb/>
            exemplis ſequentibus, Experimentis confirmatis, patebit.</s>
            <s xml:id="echoid-s2337" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div375" type="section" level="1" n="127">
          <head xml:id="echoid-head184" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          4.</head>
          <p>
            <s xml:id="echoid-s2338" xml:space="preserve">Vecti
              <emph style="sc">A</emph>
            B, cujus brachia ſunt æqualia, applicatur in B
              <lb/>
              <note position="left" xlink:label="note-0098-04" xlink:href="note-0098-04a" xml:space="preserve">230.</note>
            pondus P duarum librarum, & </s>
            <s xml:id="echoid-s2339" xml:space="preserve">in A potentia oblique agens
              <lb/>
              <note position="left" xlink:label="note-0098-05" xlink:href="note-0098-05a" xml:space="preserve">TAB. IX.
                <lb/>
              fig. 2. & 3.</note>
            per
              <emph style="sc">A</emph>
            D, & </s>
            <s xml:id="echoid-s2340" xml:space="preserve">quæ repræſentatur per pondus M. </s>
            <s xml:id="echoid-s2341" xml:space="preserve">Concipia-
              <lb/>
            tur linea DE vecti in ſitu horizontali parallela, & </s>
            <s xml:id="echoid-s2342" xml:space="preserve">
              <emph style="sc">A</emph>
            E ad il-
              <lb/>
            lam & </s>
            <s xml:id="echoid-s2343" xml:space="preserve">vectem perpendicularis; </s>
            <s xml:id="echoid-s2344" xml:space="preserve">nunc ſi
              <emph style="sc">A</emph>
            D ſit ad
              <emph style="sc">A</emph>
            E, ut
              <lb/>
            duo ad tria, & </s>
            <s xml:id="echoid-s2345" xml:space="preserve">pondus M ſit trium librarum, datur æqui-
              <lb/>
            librium.</s>
            <s xml:id="echoid-s2346" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2347" xml:space="preserve">Directio motus puncti A ex motu vectis eſt vecti perpen-
              <lb/>
              <note position="left" xlink:label="note-0098-06" xlink:href="note-0098-06a" xml:space="preserve">231.</note>
            dicularis, tendit ergo juxta lineam
              <emph style="sc">Ea</emph>
            prolongatam; </s>
            <s xml:id="echoid-s2348" xml:space="preserve">di-
              <lb/>
            ſtantia BA cum maneat ſemper eadem, in fig. </s>
            <s xml:id="echoid-s2349" xml:space="preserve">2 impeditur A ne
              <lb/>
            magis accedat ad B, & </s>
            <s xml:id="echoid-s2350" xml:space="preserve">quaſi repellitur per directionem
              <lb/>
            BA; </s>
            <s xml:id="echoid-s2351" xml:space="preserve">in fig. </s>
            <s xml:id="echoid-s2352" xml:space="preserve">3 receſſus puncti A à B cohibetur, & </s>
            <s xml:id="echoid-s2353" xml:space="preserve">ſic A qua-
              <lb/>
            ſi trahitur B verſus. </s>
            <s xml:id="echoid-s2354" xml:space="preserve">Ulterius punctum A pondere M trahitur
              <lb/>
            D verſus: </s>
            <s xml:id="echoid-s2355" xml:space="preserve">tribus ergo punctum hocce trahitur potentiis, </s>
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