Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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              <pb o="95" file="0153" n="167" rhead="MATHEMATICA. LIB. I. CAP. XXI."/>
            ſtentaculo alterius Orbis A ſit ſemi-libræ; </s>
            <s xml:id="echoid-s3905" xml:space="preserve">in agitatione Or-
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            bium pondera eodem momento adſcendunt.</s>
            <s xml:id="echoid-s3906" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3907" xml:space="preserve">In hocce Experimento vires centrales ſunt ut 5. </s>
            <s xml:id="echoid-s3908" xml:space="preserve">ad 2. </s>
            <s xml:id="echoid-s3909" xml:space="preserve">quod
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            etiam computatione detegitur . </s>
            <s xml:id="echoid-s3910" xml:space="preserve">Hæc ratio paululum
              <note symbol="*" position="right" xlink:label="note-0153-01" xlink:href="note-0153-01a" xml:space="preserve">375</note>
            dum differt a ratione inverſa quadratorum diſtantiarum,
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            quæ ſunt inter ſe ut 200. </s>
            <s xml:id="echoid-s3911" xml:space="preserve">ad 512.</s>
            <s xml:id="echoid-s3912" xml:space="preserve">: cubi etiam diſtantiarum,
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            ſunt fere ut quadrata temporum periodicorum; </s>
            <s xml:id="echoid-s3913" xml:space="preserve">hæc ſunt ut
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            1. </s>
            <s xml:id="echoid-s3914" xml:space="preserve">ad 4.</s>
            <s xml:id="echoid-s3915" xml:space="preserve">, illi ut 125. </s>
            <s xml:id="echoid-s3916" xml:space="preserve">ad 512. </s>
            <s xml:id="echoid-s3917" xml:space="preserve">quæ rationes non admodum dif-
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            ferunt. </s>
            <s xml:id="echoid-s3918" xml:space="preserve">Aliis adhibitis numeris hæ rationes exacte eædem
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            erunt, & </s>
            <s xml:id="echoid-s3919" xml:space="preserve">Experimentum eodem modo procedet; </s>
            <s xml:id="echoid-s3920" xml:space="preserve">ſed non
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            commodètempora periodica, aut pondera, ſecundum quam-
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            libet rationem variari poſſunt.</s>
            <s xml:id="echoid-s3921" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s3922" xml:space="preserve">Si corpora ſint inæqualia, ſed in bæc agant vires centra-
              <lb/>
              <note position="right" xlink:label="note-0153-02" xlink:href="note-0153-02a" xml:space="preserve">378.</note>
            les, quæ, ut gravitas, æqualiter in ſingulas materiæ particu-
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            las agant, non intereſt quæcunque ſint maſſæ corporum, & </s>
            <s xml:id="echoid-s3923" xml:space="preserve">
              <lb/>
            propoſitio ultima etiam in corporibus inæqualibus obti-
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            net.</s>
            <s xml:id="echoid-s3924" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3925" xml:space="preserve">Ellipſin vocant Geometræ lineam ovalem cujus hæc eſt
              <lb/>
              <note position="right" xlink:label="note-0153-03" xlink:href="note-0153-03a" xml:space="preserve">379.</note>
            deſcriptio. </s>
            <s xml:id="echoid-s3926" xml:space="preserve">Sit A a recta; </s>
            <s xml:id="echoid-s3927" xml:space="preserve">C punctum hujus medium; </s>
            <s xml:id="echoid-s3928" xml:space="preserve">F, f,
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              <note position="right" xlink:label="note-0153-04" xlink:href="note-0153-04a" xml:space="preserve">TAB. XV.
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              fig. 1.</note>
            puncta à C æqualiter diſtantia; </s>
            <s xml:id="echoid-s3929" xml:space="preserve">F G f filum, cujus extremi-
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            tates in F & </s>
            <s xml:id="echoid-s3930" xml:space="preserve">f fixæ ſunt, quod æquale eſt lineæ A a. </s>
            <s xml:id="echoid-s3931" xml:space="preserve">Ten-
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            ſo filo clavo G, in plano in quo datur A a Ellipſis deſcribi-
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            tur. </s>
            <s xml:id="echoid-s3932" xml:space="preserve">Puncta F, f, vocantur foci; </s>
            <s xml:id="echoid-s3933" xml:space="preserve">C centrum; </s>
            <s xml:id="echoid-s3934" xml:space="preserve">A a axis major;
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            </s>
            <s xml:id="echoid-s3935" xml:space="preserve">minor axis per centrum tranſit, cum majori angulos effici-
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            ens rectos, & </s>
            <s xml:id="echoid-s3936" xml:space="preserve">ab utraque parte curvâ terminatur.</s>
            <s xml:id="echoid-s3937" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3938" xml:space="preserve">Quando vis, qua corpus punctum verſus fertur, non u-
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              <note position="right" xlink:label="note-0153-05" xlink:href="note-0153-05a" xml:space="preserve">380.</note>
            bique eſt eadem, ſed cum diſtantia à centro creſcit, aut
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            minuitur, ſecundum certam proportionem, variæ inde
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            oriuntur curvæ.</s>
            <s xml:id="echoid-s3939" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3940" xml:space="preserve">Ponamus vim quæ in corpora mota agit ut in quieſcentia,
              <lb/>
              <note position="right" xlink:label="note-0153-06" xlink:href="note-0153-06a" xml:space="preserve">381.</note>
            quæ ad diſtantias æquales à centro æqualis ſit, adinæquales de-
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            creſcat, in ratione inverſa quadratorum diſtantiarum ab hoc
              <lb/>
            puncto, deſcribet corpus Ellipſin cujus focorum alter cum cen-
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            tro virium coincidit; </s>
            <s xml:id="echoid-s3941" xml:space="preserve">ita ut in unaquaque revolutione ſemel ad
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            hoc accedat corpus, & </s>
            <s xml:id="echoid-s3942" xml:space="preserve">iterum ab hoc recedat. </s>
            <s xml:id="echoid-s3943" xml:space="preserve">In receſſu
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            minuitur corporis celeritas , & </s>
            <s xml:id="echoid-s3944" xml:space="preserve">quidem ita, ut vis centralis,
              <note symbol="*" position="right" xlink:label="note-0153-07" xlink:href="note-0153-07a" xml:space="preserve">3526</note>
            </s>
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