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

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        <div xml:id="echoid-div580" type="section" level="1" n="178">
          <p>
            <s xml:id="echoid-s3944" xml:space="preserve">
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            cet ipſa minuatur, viam corporis flectat, & </s>
            <s xml:id="echoid-s3945" xml:space="preserve">hoc ad
              <lb/>
            centrum accedere cogat: </s>
            <s xml:id="echoid-s3946" xml:space="preserve">acceſſu augetur velocitas ita, ut,
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            licet vis augeatur, corpus iterum a centro recedat.</s>
            <s xml:id="echoid-s3947" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3948" xml:space="preserve">Circulus ad hoc genus curvarum pertinet, & </s>
            <s xml:id="echoid-s3949" xml:space="preserve">in hoc ca-
              <lb/>
              <note position="left" xlink:label="note-0154-01" xlink:href="note-0154-01a" xml:space="preserve">382.</note>
            ſu corpus etiam circulum poteſt deſcribere, qui, ſi bujus
              <lb/>
            diameter æqualis ſit aximajori Ellipſeos cujuſcunque, eodem
              <lb/>
            tempore cum bac deſcribitur.</s>
            <s xml:id="echoid-s3950" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3951" xml:space="preserve">Corpus poteſt tali celeritate projici, ut in receſſu a cen-
              <lb/>
              <note position="left" xlink:label="note-0154-02" xlink:href="note-0154-02a" xml:space="preserve">383.</note>
            tro vis, quæ auctâ diſtantiâ minuitur, non valeat ad viam
              <lb/>
            ita inflectendam, ut corpus redeat; </s>
            <s xml:id="echoid-s3952" xml:space="preserve">percurrit in hoc caſu
              <lb/>
            corpus curvam aliam Parabolam aut Hyperbolam.</s>
            <s xml:id="echoid-s3953" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s3954" xml:space="preserve">Si vis centralis juxta alvam proportionem quamcunque
              <lb/>
              <note position="left" xlink:label="note-0154-03" xlink:href="note-0154-03a" xml:space="preserve">384.</note>
            in receſſu a centro decreſcat, non poterit corpus lineam in
              <lb/>
            ſe redeuntem, & </s>
            <s xml:id="echoid-s3955" xml:space="preserve">a circulo parum aberrantem, deſcribere.</s>
            <s xml:id="echoid-s3956" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3957" xml:space="preserve">Sed ſi vis decreſcat juxta proportionem parum ab bac ab-
              <lb/>
              <note position="left" xlink:label="note-0154-04" xlink:href="note-0154-04a" xml:space="preserve">385.</note>
            errantem, aut curva à circulo non multum differat; </s>
            <s xml:id="echoid-s3958" xml:space="preserve">poterit
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            curva a corpore deſcripta referri ad Ellipſin mobilem, cu-
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            jus nempe axis, in plano, in quo corpus revolvitur, mo-
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            vetur motu angulari, manente foco in centro virium. </s>
            <s xml:id="echoid-s3959" xml:space="preserve">Mo-
              <lb/>
              <note position="left" xlink:label="note-0154-05" xlink:href="note-0154-05a" xml:space="preserve">386.</note>
            tus autem axeos in eandem partem dirigitur cum motu cor-
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            poris, ſi vis celerius decreſcat auctâ diſtantiâ quam prora-
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            tione inverſa quadrati diſtantiæ: </s>
            <s xml:id="echoid-s3960" xml:space="preserve">Si vero vis tardius, id eſt
              <lb/>
              <note position="left" xlink:label="note-0154-06" xlink:href="note-0154-06a" xml:space="preserve">387.</note>
            minus, decreſcat in reseſſu a centro, motus Ellipſeos in
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            contrariam partem dirigitur.</s>
            <s xml:id="echoid-s3961" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s3962" xml:space="preserve">Corpus etiam Ellipſin deſcribit, ſi vis centralis, in re-
              <lb/>
              <note position="left" xlink:label="note-0154-07" xlink:href="note-0154-07a" xml:space="preserve">388.</note>
            ceſſu a centro, creſcat, & </s>
            <s xml:id="echoid-s3963" xml:space="preserve">ſit ubique in ratione diſtantiæ a
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            centro, quod in boc caſu cum centro Ellipſeos coincidit.</s>
            <s xml:id="echoid-s3964" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div592" type="section" level="1" n="179">
          <head xml:id="echoid-head251" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          12</head>
          <p>
            <s xml:id="echoid-s3965" xml:space="preserve">Longiori filo ſuſpendatur globus plumbeus; </s>
            <s xml:id="echoid-s3966" xml:space="preserve">ſi a puncto
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              <note position="left" xlink:label="note-0154-08" xlink:href="note-0154-08a" xml:space="preserve">389.</note>
            in quo quieſcit retrahatur, gravitate ſua ſemper hoc verſus
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            fertur; </s>
            <s xml:id="echoid-s3967" xml:space="preserve">& </s>
            <s xml:id="echoid-s3968" xml:space="preserve">ab omni parte, ſi diſtantia fuerit æqualis æqua-
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            li cum vi. </s>
            <s xml:id="echoid-s3969" xml:space="preserve">In motu ſuo a puncto memorato globus circu-
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            lum deſcribit, partem quamcunque verſus retrahatur: </s>
            <s xml:id="echoid-s3970" xml:space="preserve">ſi
              <lb/>
            portiones circuli nonfuerint admodum magnæ, cum cycloï-
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            de coïncidunt, & </s>
            <s xml:id="echoid-s3971" xml:space="preserve">vis cum qua globus, in quocumque pun-
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            cto, fertur punctum inſimum verſus, eſt ut illius </s>
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