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

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        <div xml:id="echoid-div391" type="section" level="1" n="134">
          <pb o="56" file="0102" n="110" rhead="PHYSICES ELEMENTA"/>
          <p>
            <s xml:id="echoid-s2463" xml:space="preserve">Ut exactiſſimè experimenta inſtituantur, minora trian-
              <lb/>
            gula rectangula chartacea, aut potius lignea, ſunt adhiben-
              <lb/>
            da, & </s>
            <s xml:id="echoid-s2464" xml:space="preserve">ſuper his planum inclinandum; </s>
            <s xml:id="echoid-s2465" xml:space="preserve">ut commode & </s>
            <s xml:id="echoid-s2466" xml:space="preserve">ex-
              <lb/>
            acte longitudo plani cum altitudine conferatur.</s>
            <s xml:id="echoid-s2467" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div393" type="section" level="1" n="135">
          <head xml:id="echoid-head193" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          8.</head>
          <p>
            <s xml:id="echoid-s2468" xml:space="preserve">In hoc Experimento eâdem ac in præcedenti utimur Ma-
              <lb/>
              <note position="left" xlink:label="note-0102-01" xlink:href="note-0102-01a" xml:space="preserve">241.</note>
            chinâ. </s>
            <s xml:id="echoid-s2469" xml:space="preserve">Corpus M plano inclinato AB impoſitum, ſuſtinetur
              <lb/>
              <note position="left" xlink:label="note-0102-02" xlink:href="note-0102-02a" xml:space="preserve">TAB. IX.
                <lb/>
              fig. 6.</note>
            potentiâ trahente per MS; </s>
            <s xml:id="echoid-s2470" xml:space="preserve">concipiantur linea MR, ad ho-
              <lb/>
            rizontem perpendicularis, & </s>
            <s xml:id="echoid-s2471" xml:space="preserve">ASR ad plani ſuperficiem
              <lb/>
            normalis: </s>
            <s xml:id="echoid-s2472" xml:space="preserve">in omni caſu ubi pondus P eſt ad pondus corpo-
              <lb/>
            ris M, ut MS ad
              <emph style="sc">Mr</emph>
            , corpus quieſcit.</s>
            <s xml:id="echoid-s2473" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2474" xml:space="preserve">Pondere ſuo corpus M trahitur juxta directionem RM,
              <lb/>
            plano inclinato ſuſtinetur directione ad planum perpendicu-
              <lb/>
            lari, & </s>
            <s xml:id="echoid-s2475" xml:space="preserve">Experimentum reducitur ad propoſitionem n.
              <lb/>
            </s>
            <s xml:id="echoid-s2476" xml:space="preserve">220.</s>
            <s xml:id="echoid-s2477" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div395" type="section" level="1" n="136">
          <head xml:id="echoid-head194" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          9.</head>
          <p>
            <s xml:id="echoid-s2478" xml:space="preserve">Vectis
              <emph style="sc">A</emph>
            CB brachia ſunt æqualia, & </s>
            <s xml:id="echoid-s2479" xml:space="preserve">angulum formant,
              <lb/>
              <note position="left" xlink:label="note-0102-03" xlink:href="note-0102-03a" xml:space="preserve">242.</note>
            ita ut ſi
              <emph style="sc">A</emph>
            C continuetur verſus D, & </s>
            <s xml:id="echoid-s2480" xml:space="preserve">BD ad CD perpen-
              <lb/>
              <note position="left" xlink:label="note-0102-04" xlink:href="note-0102-04a" xml:space="preserve">TAB. IX.
                <lb/>
              fig. 7.</note>
            dicularis ducatur, DC ſit dimidia pars ipſius BC aut CA.
              <lb/>
            </s>
            <s xml:id="echoid-s2481" xml:space="preserve">Appenſo in
              <emph style="sc">A</emph>
            pondere p unius libræ, & </s>
            <s xml:id="echoid-s2482" xml:space="preserve">in B pondere P
              <lb/>
            duarum librarum, poſitoque brachio
              <emph style="sc">Ca</emph>
            in ſitu horizonta-
              <lb/>
            li, datur æquilibrium ; </s>
            <s xml:id="echoid-s2483" xml:space="preserve">quia pondus Pagit quaſi in
              <note symbol="*" position="left" xlink:label="note-0102-05" xlink:href="note-0102-05a" xml:space="preserve">175.</note>
            recto in puncto D eſſet ſuſpenſum .</s>
            <s xml:id="echoid-s2484" xml:space="preserve"/>
          </p>
          <note symbol="*" position="left" xml:space="preserve">128.</note>
          <p>
            <s xml:id="echoid-s2485" xml:space="preserve">Mutentur pondera, & </s>
            <s xml:id="echoid-s2486" xml:space="preserve">majus ſuſpendatur in A, minus
              <lb/>
              <note position="left" xlink:label="note-0102-07" xlink:href="note-0102-07a" xml:space="preserve">TAB. IX.
                <lb/>
              fig. 8.</note>
            vero imponatur brachio BC in B; </s>
            <s xml:id="echoid-s2487" xml:space="preserve">ſi plano verticali illius ca-
              <lb/>
            ſus impediatur, dabitur iterum æquilibrium.</s>
            <s xml:id="echoid-s2488" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2489" xml:space="preserve">Brachia vectis ſunt æqualia, & </s>
            <s xml:id="echoid-s2490" xml:space="preserve">æqualiter motu vectis mo-
              <lb/>
            ventur: </s>
            <s xml:id="echoid-s2491" xml:space="preserve">vi ergo ponderis P pondus p quaſi trahitur verſus
              <lb/>
            E in directione ad brachium BC perpendiculari; </s>
            <s xml:id="echoid-s2492" xml:space="preserve">Ex actio-
              <lb/>
            ne plani verticalis premitur corpus illud horizontaliter; </s>
            <s xml:id="echoid-s2493" xml:space="preserve">& </s>
            <s xml:id="echoid-s2494" xml:space="preserve">
              <lb/>
            tandem vi gravitatis verticaliter pellitur. </s>
            <s xml:id="echoid-s2495" xml:space="preserve">Tribus igitur po-
              <lb/>
            tentiis trahitur pondus p, quæ ſunt inter ſe ut latera trian-
              <lb/>
            guli
              <emph style="sc">BE</emph>
            D ; </s>
            <s xml:id="echoid-s2496" xml:space="preserve">Vis ergo tendens terram verſus (pondus
              <note symbol="*" position="left" xlink:label="note-0102-08" xlink:href="note-0102-08a" xml:space="preserve">220.</note>
            ſe habet ad vim trahentem E verſus (pondus P), ut BD ad BE,
              <lb/>
            aut DC ad CB , ſeu
              <emph style="sc">Ca</emph>
            ; </s>
            <s xml:id="echoid-s2497" xml:space="preserve">id eſt, ut unum ad duo; </s>
            <s xml:id="echoid-s2498" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0102-09" xlink:href="note-0102-09a" xml:space="preserve">8. El. VI.</note>
            etiam eſt ratio inter pondera p & </s>
            <s xml:id="echoid-s2499" xml:space="preserve">P. </s>
            <s xml:id="echoid-s2500" xml:space="preserve">Et hìc ergo ratio </s>
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