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

Table of Notes

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              <pb o="55" file="0101" n="109" rhead="MATHEMATICA. LIB. I. CAP. XV."/>
            parallelo retineri ut quieſcat, plano ſuſtinetur, id eſt quaſi
              <lb/>
            pellitur, juxta directionem dc plano perpendicularem, tan-
              <lb/>
            dem gravitate verticaliter per ce conatur deſcendere. </s>
            <s xml:id="echoid-s2435" xml:space="preserve">Cor-
              <lb/>
            pus ergo P tribus quaſi trahitur potentiis, quarum directio-
              <lb/>
            nes lateribus trianguli ced parallelæ ſunt, ſed corpus qui-
              <lb/>
            eſcit, ſunt idcirco potentiæ inter ſe ut latera hujus triangu-
              <lb/>
              <note symbol="*" position="right" xlink:label="note-0101-01" xlink:href="note-0101-01a" xml:space="preserve">210.</note>
            li. </s>
            <s xml:id="echoid-s2436" xml:space="preserve">Ideo, vis qua corpus ſuper plano conatur deſcendere
              <note position="right" xlink:label="note-0101-02" xlink:href="note-0101-02a" xml:space="preserve">238.</note>
            ad vim qua verticaliter conatur deſcendere, pondus nempe
              <lb/>
            corporis, ut de ad ce aut ut
              <emph style="sc">A</emph>
            C ad
              <emph style="sc">A</emph>
            B, id eſt, ut alti-
              <lb/>
            tudo plani ad hujus longitudinem, ſunt enim ſimilia triangula
              <lb/>
            rectangula cde,
              <emph style="sc">A</emph>
            BC, habentia angulos æquales ced, CAB .</s>
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          <note symbol="*" position="right" xml:space="preserve">29. El. I.</note>
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        <div xml:id="echoid-div389" type="section" level="1" n="133">
          <head xml:id="echoid-head190" xml:space="preserve">
            <emph style="sc">Machina</emph>
          ,</head>
          <head xml:id="echoid-head191" style="it" xml:space="preserve">Qua plani inclinati affectiones exhibentur.</head>
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            <s xml:id="echoid-s2438" xml:space="preserve">Planum NOQL in ſitu ponitur horizontali; </s>
            <s xml:id="echoid-s2439" xml:space="preserve">Planum AB
              <lb/>
              <note position="right" xlink:label="note-0101-04" xlink:href="note-0101-04a" xml:space="preserve">239.</note>
            IH circa cardines volvitur, & </s>
            <s xml:id="echoid-s2440" xml:space="preserve">ad inclinationem quam-
              <lb/>
              <note position="right" xlink:label="note-0101-05" xlink:href="note-0101-05a" xml:space="preserve">TAB. X.
                <lb/>
              fig. 5.</note>
            cunque conſtituitur, ope cochleæ V & </s>
            <s xml:id="echoid-s2441" xml:space="preserve">quadrantis circu-
              <lb/>
            li t.</s>
            <s xml:id="echoid-s2442" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2443" xml:space="preserve">Regula lignea EF extremitati uni trochleam connexam
              <lb/>
            habet G; </s>
            <s xml:id="echoid-s2444" xml:space="preserve">circa alteram volvitur; </s>
            <s xml:id="echoid-s2445" xml:space="preserve">caputque D, in quo mo-
              <lb/>
            vetur, ubique in ſciſſura rs, cum plano NOQL connecti-
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            tur, auxilio cochleæ infra planum.</s>
            <s xml:id="echoid-s2446" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2447" xml:space="preserve">M eſt cylindrus ligneus, cujus axis eſt chalybeus, & </s>
            <s xml:id="echoid-s2448" xml:space="preserve">cu-
              <lb/>
            jus baſes cylindrum paululum excedunt; </s>
            <s xml:id="echoid-s2449" xml:space="preserve">ita ut in revolu-
              <lb/>
            tione ſuper plano
              <emph style="sc">A</emph>
            BIH baſes ſolæ planum tangant.</s>
            <s xml:id="echoid-s2450" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2451" xml:space="preserve">Suſtinetur cylindrus filo tranſeunte ſuper trochlea G; </s>
            <s xml:id="echoid-s2452" xml:space="preserve">quod
              <lb/>
            filum annectitur regulæ tenui æneæ, ita inflexæ, ut per e-
              <lb/>
            jus extremitates axis cylindri tranſeat, & </s>
            <s xml:id="echoid-s2453" xml:space="preserve">rotetur.</s>
            <s xml:id="echoid-s2454" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2455" xml:space="preserve">In Experimentis ita diſponitur trochlea, inclinando re-
              <lb/>
            gulam EF, & </s>
            <s xml:id="echoid-s2456" xml:space="preserve">movendo caput Dper ſciſſuram rs; </s>
            <s xml:id="echoid-s2457" xml:space="preserve">ut fi-
              <lb/>
            lum, quo cylindrus ſuſtinetur, ſit parallelum plano inclina-
              <lb/>
            to
              <emph style="sc">A</emph>
            BIH.</s>
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        <div xml:id="echoid-div391" type="section" level="1" n="134">
          <head xml:id="echoid-head192" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          7.</head>
          <p>
            <s xml:id="echoid-s2459" xml:space="preserve">Inclinetur utcumque planum
              <emph style="sc">A</emph>
            BIH, pondus corporis
              <lb/>
              <note position="right" xlink:label="note-0101-06" xlink:href="note-0101-06a" xml:space="preserve">240.</note>
            Meam habet rationem ad pondus P, quam longitudo plani
              <lb/>
              <emph style="sc">A</emph>
            B ad illius altitudinem
              <emph style="sc">A</emph>
            C; </s>
            <s xml:id="echoid-s2460" xml:space="preserve">& </s>
            <s xml:id="echoid-s2461" xml:space="preserve">pondere P corpus M ſuſti-
              <lb/>
            ne tur ſuper plano inclinato, ubicunque ponatur.</s>
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