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

Table of contents

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[151.] Experimentum 2.
[152.] Experimentum 3.
[153.] Experimentum 4.
[154.] SCHOLIUM I. De motu in Cycloide.
[155.] SCHOLIUM 2. De Centro oſcillationis determinando.
[156.] SCHOLIUM. 3. In quo quædam in boc capite memoratæ Cycloidis proprietates demonſtrantur.
[157.] SHOLIUM 4. De linea celerrimi deſcenſus.
[158.] CAPUT XX. De Projectione Gravium.
[159.] Machina Qua demonſtrata de corporum projectione confirmantur.
[160.] Experimentum.
[161.] Definitio.
[162.] CAPUT XXI. De Viribus Centralibus.
[163.] Definitio 1.
[164.] Definitio 2.
[165.] Definitio 3.
[166.] Machina
[167.] Experimentum 1.
[168.] Experimentum 2.
[169.] Experimentum 3.
[170.] Definitio 4.
[171.] Experimentum 4.
[172.] Experimentum 5.
[173.] Experimentum 6.
[174.] Experimentum 7.
[175.] Experimentum 8.
[176.] Experimentum 9.
[177.] Experimentum. 10.
[178.] Experimentum II.
[179.] Experimentum 12
[180.] Experimentum 13.
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              <pb o="90" file="0146" n="159" rhead="PHYSICES ELEMENTA"/>
            curvam deſcribat quæ in ſe redit, tempus elapſum inter re-
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            ceſſum a puncto & </s>
            <s xml:id="echoid-s3737" xml:space="preserve">acceſſum ad idem punctum: </s>
            <s xml:id="echoid-s3738" xml:space="preserve">ſi curva in
              <lb/>
            ſe non redeat, pro puncto linea per centrum tranſiens ſu-
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            menda eſt.</s>
            <s xml:id="echoid-s3739" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3740" xml:space="preserve">Tempus periodicum pendet a corporis celeritate, & </s>
            <s xml:id="echoid-s3741" xml:space="preserve">ideò
              <lb/>
            in comparandis viribus centralibus tempus hocce loco cele-
              <lb/>
            ritatis conſiderari poteſt.</s>
            <s xml:id="echoid-s3742" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s3743" xml:space="preserve">Quando tempora periodica ſunt aqualia & </s>
            <s xml:id="echoid-s3744" xml:space="preserve">diſtantia æqua-
              <lb/>
              <note position="left" xlink:label="note-0146-01" xlink:href="note-0146-01a" xml:space="preserve">361.</note>
            les a centro, vires centrales ſunt ut quantitates materiæ in
              <lb/>
            corporibus quæ revolvuntur . </s>
            <s xml:id="echoid-s3745" xml:space="preserve">Temporibus enim
              <note symbol="*" position="left" xlink:label="note-0146-02" xlink:href="note-0146-02a" xml:space="preserve">106.</note>
            bus eodem modo viribus centralibus moventur.</s>
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        </div>
        <div xml:id="echoid-div558" type="section" level="1" n="171">
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            <emph style="sc">Experimentum</emph>
          4.</head>
          <p>
            <s xml:id="echoid-s3747" xml:space="preserve">Applicatur Orbi A, rota omnium minima, ex tribus ro-
              <lb/>
              <note position="left" xlink:label="note-0146-03" xlink:href="note-0146-03a" xml:space="preserve">362.</note>
            tis ut b b, de quibus in deſcriptione Machinæ; </s>
            <s xml:id="echoid-s3748" xml:space="preserve">ita ut ſi am-
              <lb/>
              <note position="left" xlink:label="note-0146-04" xlink:href="note-0146-04a" xml:space="preserve">TAB XIV.
                <lb/>
              fig. 1.2.</note>
            bo Orbes A & </s>
            <s xml:id="echoid-s3749" xml:space="preserve">B ſimul agitentur motu rotæ Q in tempore
              <lb/>
            æquali circumvolvantur; </s>
            <s xml:id="echoid-s3750" xml:space="preserve">ſingulis applicantur pyxides oblon-
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            gæ P, P; </s>
            <s xml:id="echoid-s3751" xml:space="preserve">& </s>
            <s xml:id="echoid-s3752" xml:space="preserve">cylindri cum tubulis vitreis L, L, per
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            foramina in medio pyxidum, ſuſtentaculis Orbium inſerun-
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            tur.</s>
            <s xml:id="echoid-s3753" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s3754" xml:space="preserve">Globus t ponderis ſemi-libræ pyxidi Orbis B imponitur,
              <lb/>
            & </s>
            <s xml:id="echoid-s3755" xml:space="preserve">globus t ponderis unius libræ pyxidi Orbis A; </s>
            <s xml:id="echoid-s3756" xml:space="preserve">filis per
              <lb/>
            tubulos L, L, tranſeuntibus & </s>
            <s xml:id="echoid-s3757" xml:space="preserve">cum ponderibus, in ſepa-
              <lb/>
            rationibus ſuſtentaculorum Orbium poſitis, cohærentibus,
              <lb/>
            globi annectuntur ita, ut diſtantiæ globorum a centro,
              <lb/>
            quando fila extenduntur, & </s>
            <s xml:id="echoid-s3758" xml:space="preserve">non elevantur pondera, ſint
              <lb/>
            æquales. </s>
            <s xml:id="echoid-s3759" xml:space="preserve">Inutraque pyxide Elaſterii s extremitas inſeritur ſciſ-
              <lb/>
            ſuræ laminæ v (V) & </s>
            <s xml:id="echoid-s3760" xml:space="preserve">filum paxillo p annexum globo etiam
              <lb/>
            conjungitur, dum per idem foramen in prominentiâ globi
              <lb/>
            tranſit cum filo primo. </s>
            <s xml:id="echoid-s3761" xml:space="preserve">Ope paxilli p ita fili ſecundi longitudo
              <lb/>
            determinatur, ut ad altitudinem octavæ partis pollicis pondus
              <lb/>
            in ſuſtentaculo, receſſu globi a centro, elevari poſſit quieſcente
              <lb/>
            lamina v; </s>
            <s xml:id="echoid-s3762" xml:space="preserve">ſi autem magis a centro recedat globus, trahitur la-
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            mina hæc, relaxatur elaſterium, & </s>
            <s xml:id="echoid-s3763" xml:space="preserve">ſegmentum k in latus pyxidis
              <lb/>
            impingit, ſtrepituſque auditur, qui magis erit intenſus ſi la-
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            tus pyxidis etiam ſegmento ſphæræ ex ligno duriore aut e-
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            bore muniatur.</s>
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