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

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            <s xml:id="echoid-s2267" xml:space="preserve">
              <pb o="51" file="0097" n="105" rhead="MATHEMATICA, LIB. I. CAP. XV."/>
            mode lineæ, in ſequentibus memorandæ, in iis duci poſ-
              <lb/>
            ſint.</s>
            <s xml:id="echoid-s2268" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div366" type="section" level="1" n="124">
          <head xml:id="echoid-head181" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          1.</head>
          <p>
            <s xml:id="echoid-s2269" xml:space="preserve">Sit C centrum orbis minoris memorati, & </s>
            <s xml:id="echoid-s2270" xml:space="preserve">in hoc deli-
              <lb/>
              <note position="right" xlink:label="note-0097-01" xlink:href="note-0097-01a" xml:space="preserve">224.</note>
            neatum triangulum
              <emph style="sc">A</emph>
            BC, cujus latera ſunt inter ſe ut 2.
              <lb/>
            </s>
            <s xml:id="echoid-s2271" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2272" xml:space="preserve">& </s>
            <s xml:id="echoid-s2273" xml:space="preserve">4.</s>
            <s xml:id="echoid-s2274" xml:space="preserve">; Detur linea CE lateri AB trianguli parallela, & </s>
            <s xml:id="echoid-s2275" xml:space="preserve">
              <lb/>
            continuetur latus AC verſus D.</s>
            <s xml:id="echoid-s2276" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2277" xml:space="preserve">Nunc dentur tria fila in C juncta, & </s>
            <s xml:id="echoid-s2278" xml:space="preserve">juxta lineas CD,
              <lb/>
            CE, & </s>
            <s xml:id="echoid-s2279" xml:space="preserve">CB protenſa ſuper Trochleis majori orbi junctis;
              <lb/>
            </s>
            <s xml:id="echoid-s2280" xml:space="preserve">Si filis CD, CE, & </s>
            <s xml:id="echoid-s2281" xml:space="preserve">CF, appendantur pondera quæ ſint inter
              <lb/>
            ſe ut 4. </s>
            <s xml:id="echoid-s2282" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2283" xml:space="preserve">& </s>
            <s xml:id="echoid-s2284" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2285" xml:space="preserve">fila non moventur, & </s>
            <s xml:id="echoid-s2286" xml:space="preserve">nodus in C quieſcit; </s>
            <s xml:id="echoid-s2287" xml:space="preserve">
              <lb/>
            ſi ex eo puncto dimoveatur nodus, non quieſcit.</s>
            <s xml:id="echoid-s2288" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2289" xml:space="preserve">In hac propoſitione duæ potentiæ quæcunque cum tertia æ-
              <lb/>
            què pollent, id eſt, valent unicam potentiam, quæ in eadem
              <lb/>
            directione cum illa tertia, ſed contrarie, agit, & </s>
            <s xml:id="echoid-s2290" xml:space="preserve">illi ter-
              <lb/>
            tiæ æqualis eſt.</s>
            <s xml:id="echoid-s2291" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2292" xml:space="preserve">Quando quatuor potentiis punctum trahitur, dabitur æ-
              <lb/>
              <note position="right" xlink:label="note-0097-02" xlink:href="note-0097-02a" xml:space="preserve">225.</note>
            quilibrium, ſi reductis duabus potentiis ad unicam, hæc
              <lb/>
            potentia nova, cum duabus reliquis, ſit in conditione n.
              <lb/>
            </s>
            <s xml:id="echoid-s2293" xml:space="preserve">220; </s>
            <s xml:id="echoid-s2294" xml:space="preserve">id eſt, ſi hiſce reliquis etiam ad unicam reductis, po-
              <lb/>
            tentia ex eo orta æqualis ſit, & </s>
            <s xml:id="echoid-s2295" xml:space="preserve">contrarie agat, cum poten-
              <lb/>
            tia nova ſtatim memorata.</s>
            <s xml:id="echoid-s2296" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div369" type="section" level="1" n="125">
          <head xml:id="echoid-head182" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          2.</head>
          <p>
            <s xml:id="echoid-s2297" xml:space="preserve">Punctum C trahitur quatuor filis, B verſus pondere dua-
              <lb/>
              <note position="right" xlink:label="note-0097-03" xlink:href="note-0097-03a" xml:space="preserve">226.</note>
            rum unciarum, F verſus pondere ſex unciarum, E verſus
              <lb/>
              <note position="right" xlink:label="note-0097-04" xlink:href="note-0097-04a" xml:space="preserve">TAB. X.
                <lb/>
              fig. 3.</note>
            pondere quatuor unciarum & </s>
            <s xml:id="echoid-s2298" xml:space="preserve">tandem D verſus pondere o-
              <lb/>
            cto unciarum, & </s>
            <s xml:id="echoid-s2299" xml:space="preserve">datur æ quilibrium: </s>
            <s xml:id="echoid-s2300" xml:space="preserve">formato triangulo
              <lb/>
            CFa, aut parallelogrammo CFaE, potentiæ prædictæ per
              <lb/>
            CF & </s>
            <s xml:id="echoid-s2301" xml:space="preserve">CE reducuntur ad unicam agentem per Ca, cum
              <lb/>
            vi ponderis octo unciarum, & </s>
            <s xml:id="echoid-s2302" xml:space="preserve">tunc tres potentiæ per CB,
              <lb/>
            CD, Ca exhibent caſum n. </s>
            <s xml:id="echoid-s2303" xml:space="preserve">220; </s>
            <s xml:id="echoid-s2304" xml:space="preserve">& </s>
            <s xml:id="echoid-s2305" xml:space="preserve">ideo ſi potentiæ per
              <lb/>
            CB & </s>
            <s xml:id="echoid-s2306" xml:space="preserve">CD reducantur ad unicam per CA, aget in eadem
              <lb/>
            directione ſed contrarie cum potentia per Ca, & </s>
            <s xml:id="echoid-s2307" xml:space="preserve">huic æ-
              <lb/>
            qualis erit.</s>
            <s xml:id="echoid-s2308" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2309" xml:space="preserve">Quæ hìc de quatuor potentiis dicuntur, de quinque
              <lb/>
              <note position="right" xlink:label="note-0097-05" xlink:href="note-0097-05a" xml:space="preserve">227.</note>
            & </s>
            <s xml:id="echoid-s2310" xml:space="preserve">pluribus dici potuiſſent; </s>
            <s xml:id="echoid-s2311" xml:space="preserve">ex quinque enim ſi duæ ad </s>
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