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

Table of handwritten notes

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        <div xml:id="echoid-div592" type="section" level="1" n="179">
          <p>
            <s xml:id="echoid-s3971" xml:space="preserve">
              <pb o="97" file="0155" n="169" rhead="MATHEMATICA. LIB I. CAP. XXI."/>
            ab hocce puncto ; </s>
            <s xml:id="echoid-s3972" xml:space="preserve">vis ergo illa creſcit in ratione
              <note symbol="*" position="right" xlink:label="note-0155-01" xlink:href="note-0155-01a" xml:space="preserve">2@7.</note>
            tiæ.</s>
            <s xml:id="echoid-s3973" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3974" xml:space="preserve">Retrahatur globus a puncto infimo, & </s>
            <s xml:id="echoid-s3975" xml:space="preserve">oblique projicia-
              <lb/>
            tur, figuram ovalem circa hocce punctum deſcribet, quæ,
              <lb/>
            quando globus per ſpatium magnum non excurrit, ab Elli-
              <lb/>
            pſi fere nihil differt, propter virium proportionem, & </s>
            <s xml:id="echoid-s3976" xml:space="preserve">quia
              <lb/>
            in eo caſu ad ſenſum in eodem plano movetur globus.</s>
            <s xml:id="echoid-s3977" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3978" xml:space="preserve">Centrum Ellipſis eſt punctum in quo globus quando non
              <lb/>
            projicitur quieſcit, in unaquaque revolutione bis ad illud
              <lb/>
            globus accedit, & </s>
            <s xml:id="echoid-s3979" xml:space="preserve">bis ab illo recedit. </s>
            <s xml:id="echoid-s3980" xml:space="preserve">Si ſupra menſam
              <lb/>
            globus ſuſpendatur ita, ut fere menſam quando quieſcit tangat,
              <lb/>
            & </s>
            <s xml:id="echoid-s3981" xml:space="preserve">punctum cui tunc reſpondet in menſa notetur, Experi-
              <lb/>
            mentum multo ſit magis ſenſibile; </s>
            <s xml:id="echoid-s3982" xml:space="preserve">inſequendo globum hujus
              <lb/>
            via cum creta in menſa notari poteſt.</s>
            <s xml:id="echoid-s3983" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3984" xml:space="preserve">Si vis juxta aliam rationem creſcat, curva in ſe non re-
              <lb/>
              <note position="right" xlink:label="note-0155-02" xlink:href="note-0155-02a" xml:space="preserve">390.</note>
            dit; </s>
            <s xml:id="echoid-s3985" xml:space="preserve">Sed poteſt ſæpe ad Ellipſin in plano mobilem referri.</s>
            <s xml:id="echoid-s3986" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div595" type="section" level="1" n="180">
          <head xml:id="echoid-head252" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          13.</head>
          <p>
            <s xml:id="echoid-s3987" xml:space="preserve">Iiſdem poſitis quæ in Experimento præcedenti, projiciatur
              <lb/>
              <note position="right" xlink:label="note-0155-03" xlink:href="note-0155-03a" xml:space="preserve">391.</note>
            globus ut ad diſtantiam majorem excurrat; </s>
            <s xml:id="echoid-s3988" xml:space="preserve">curvam deſcri-
              <lb/>
            bit quæ ad Ovalem mobilem referri poteſt; </s>
            <s xml:id="echoid-s3989" xml:space="preserve">bis in unaqua-
              <lb/>
            que revolutione quidem accedit ad centrum, & </s>
            <s xml:id="echoid-s3990" xml:space="preserve">bis ab eo
              <lb/>
            recedit; </s>
            <s xml:id="echoid-s3991" xml:space="preserve">ſed ſitus punctorum, in quibus minime aut maxi-
              <lb/>
            me diſtat, in ſingulis revolutionibus mutatur, & </s>
            <s xml:id="echoid-s3992" xml:space="preserve">ſempere-
              <lb/>
            andem partem verſus hæc puncta feruntur, horumque motus
              <lb/>
            cum globi motu conſpirat.</s>
            <s xml:id="echoid-s3993" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3994" xml:space="preserve">Ex hac ultima propoſitione, ſi ad n. </s>
            <s xml:id="echoid-s3995" xml:space="preserve">384. </s>
            <s xml:id="echoid-s3996" xml:space="preserve">attendamus, ſe-
              <lb/>
              <note position="right" xlink:label="note-0155-04" xlink:href="note-0155-04a" xml:space="preserve">392.</note>
            quitur, nullâ vi centrali, ad æquales diſtantias æqualiter
              <lb/>
            agenti, curvam poſſe deſcribi in ſe redeuntem & </s>
            <s xml:id="echoid-s3997" xml:space="preserve">excentri-
              <lb/>
            cam, id eſt cujus centrum cum centro virium non coincidit,
              <lb/>
            præter Ellipſin, in cujus focorum altero centrum virium da-
              <lb/>
            tur; </s>
            <s xml:id="echoid-s3998" xml:space="preserve">vimque centralem, in hoc caſu, ſequi rationem in-
              <lb/>
            verſam quadrati diſtantiæ</s>
          </p>
          <note position="right" xml:space="preserve">393.</note>
          <p>
            <s xml:id="echoid-s3999" xml:space="preserve">Circulum autem, cujus centrum cum centro virium coin-
              <lb/>
            cidit, poſſe deſcribi vi juxta rationem quamcunque creſcen-
              <lb/>
            tem aut decreſcentem, ſi modo ad diſtantias æquales æqua-
              <lb/>
            liter agat, facile patet.</s>
            <s xml:id="echoid-s4000" xml:space="preserve"/>
          </p>
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