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

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            <s xml:id="echoid-s2397" xml:space="preserve">
              <pb o="54" file="0100" n="108" rhead="PHYSICES ELEMENTA"/>
            Q, Q ad pondus P, ex tabulis Trigonometriæ poſſe deter-
              <lb/>
            minari. </s>
            <s xml:id="echoid-s2398" xml:space="preserve">Si in triangulo
              <emph style="sc">A</emph>
            CE concipiatur linea
              <emph style="sc">A</emph>
            e, per
              <lb/>
            punctum
              <emph style="sc">A</emph>
            ad horizontem parallela, & </s>
            <s xml:id="echoid-s2399" xml:space="preserve">illa habeatur pro
              <lb/>
            radio circuli,
              <emph style="sc">Ca</emph>
            erit ſecans, & </s>
            <s xml:id="echoid-s2400" xml:space="preserve">eC tangens anguli, quem
              <lb/>
            efficit
              <emph style="sc">Ca</emph>
            cum horizonte; </s>
            <s xml:id="echoid-s2401" xml:space="preserve">& </s>
            <s xml:id="echoid-s2402" xml:space="preserve">
              <emph style="sc">A</emph>
            E erit ſecans, & </s>
            <s xml:id="echoid-s2403" xml:space="preserve">eE tan-
              <lb/>
            gens anguli inclinationis fili CB ad horizontem: </s>
            <s xml:id="echoid-s2404" xml:space="preserve">unde pa-
              <lb/>
            tet pondera Q, Q, proportionalia eſſe prædictis ſecantibus,
              <lb/>
            & </s>
            <s xml:id="echoid-s2405" xml:space="preserve">pondus P proportionem ſequi ſummæ memoratarum tan-
              <lb/>
            gentium.</s>
            <s xml:id="echoid-s2406" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2407" xml:space="preserve">In Machina, qua hæc ultima Experimenta peraguntur,
              <lb/>
            (cujus conſtructio ex ſola figura, ſi conferatur cum fig. </s>
            <s xml:id="echoid-s2408" xml:space="preserve">4.
              <lb/>
            </s>
            <s xml:id="echoid-s2409" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s2410" xml:space="preserve">V. </s>
            <s xml:id="echoid-s2411" xml:space="preserve">abunde liquet) ducantur lineæ, juxta quas fila,
              <lb/>
            quæ trochleas circumdant, extendi poſſint; </s>
            <s xml:id="echoid-s2412" xml:space="preserve">in medio linea-
              <lb/>
            rum adſcribantur numeri, deſignantes fecantes angulorum,
              <lb/>
            quos illæ lineæ cum horizonte efficiunt; </s>
            <s xml:id="echoid-s2413" xml:space="preserve">& </s>
            <s xml:id="echoid-s2414" xml:space="preserve">extremitatibus
              <lb/>
            linearum adſcribantur tangentes horum angulorum.</s>
            <s xml:id="echoid-s2415" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2416" xml:space="preserve">Nunc in omni caſu ubi datur æquilibrium, pondera Q & </s>
            <s xml:id="echoid-s2417" xml:space="preserve">
              <lb/>
            Q ſunt ut numeri in medio linearum, juxta quas fila pro-
              <lb/>
            tenſa ſunt; </s>
            <s xml:id="echoid-s2418" xml:space="preserve">& </s>
            <s xml:id="echoid-s2419" xml:space="preserve">pondus P ut ſumma numerorum extremita-
              <lb/>
            tibus ambarum harum linearum adſcriptorum.</s>
            <s xml:id="echoid-s2420" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2421" xml:space="preserve">Vis qua corpus ſuper plano inclinato deſcendere cona-
              <lb/>
            tur, per ea quæ de puncto, quod tribus potentiis trahitur,
              <lb/>
            dicta ſunt, determinatur.</s>
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          </p>
        </div>
        <div xml:id="echoid-div383" type="section" level="1" n="130">
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            <emph style="sc">Definitio</emph>
          1.</head>
          <p>
            <s xml:id="echoid-s2423" xml:space="preserve">Planum inclinatum vocatur, quod cum horizonte efficit
              <lb/>
              <note position="left" xlink:label="note-0100-01" xlink:href="note-0100-01a" xml:space="preserve">235.</note>
            angulum obliquum.</s>
            <s xml:id="echoid-s2424" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2425" xml:space="preserve">CB repræſentat lineam horizonti parallelam,
              <emph style="sc">A</emph>
            B cum
              <lb/>
              <note position="left" xlink:label="note-0100-02" xlink:href="note-0100-02a" xml:space="preserve">TAB. X.
                <lb/>
              fig. 4.</note>
            illa efficit angulum obliquum
              <emph style="sc">A</emph>
            BC, & </s>
            <s xml:id="echoid-s2426" xml:space="preserve">planum inclinatum re-
              <lb/>
            præſentat. </s>
            <s xml:id="echoid-s2427" xml:space="preserve">
              <emph style="sc">A</emph>
            b extremitate ſuperiori plani dimittitur per-
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            pendicularis linea
              <emph style="sc">A</emph>
            C ad horizontem.</s>
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          </p>
        </div>
        <div xml:id="echoid-div386" type="section" level="1" n="131">
          <head xml:id="echoid-head188" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          2.</head>
          <p>
            <s xml:id="echoid-s2429" xml:space="preserve">Longitudo AB vocatur Longitudo Plani.</s>
            <s xml:id="echoid-s2430" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">236.</note>
        </div>
        <div xml:id="echoid-div387" type="section" level="1" n="132">
          <head xml:id="echoid-head189" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          3</head>
          <p>
            <s xml:id="echoid-s2431" xml:space="preserve">Linea AC vocatur Altitudo Plani.</s>
            <s xml:id="echoid-s2432" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">237.</note>
          <p>
            <s xml:id="echoid-s2433" xml:space="preserve">Corpus P plano
              <emph style="sc">A</emph>
            B impoſitum juxta directionem
              <emph style="sc">A</emph>
            B
              <lb/>
            ſuper Plano conatur deſcendere; </s>
            <s xml:id="echoid-s2434" xml:space="preserve">ponamus filo huic </s>
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