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

Table of handwritten notes

< >
< >
page |< < (87) of 824 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div539" type="section" level="1" n="166">
          <pb o="87" file="0143" n="156" rhead="MATHEMATICA. LIB. I. CAP. XXI."/>
          <p>
            <s xml:id="echoid-s3633" xml:space="preserve">Pyxis Globum continet, qui ſeparatim in G (fig. </s>
            <s xml:id="echoid-s3634" xml:space="preserve">12.) </s>
            <s xml:id="echoid-s3635" xml:space="preserve">vi-
              <lb/>
            detur. </s>
            <s xml:id="echoid-s3636" xml:space="preserve">Habet hic prominentiam in quo foramen datur ad
              <lb/>
            centrum globi tendens, & </s>
            <s xml:id="echoid-s3637" xml:space="preserve">quod terminatur in foramine
              <lb/>
            transverſo; </s>
            <s xml:id="echoid-s3638" xml:space="preserve">filum foramen primum trajicit, & </s>
            <s xml:id="echoid-s3639" xml:space="preserve">ex forami-
              <lb/>
            ne transverſo exit; </s>
            <s xml:id="echoid-s3640" xml:space="preserve">hoc cuſpide ligneo c exacte repletur ita,
              <lb/>
            ut filum firmiter hæreat. </s>
            <s xml:id="echoid-s3641" xml:space="preserve">Filum per tubum memoratum im-
              <lb/>
            mittitur, & </s>
            <s xml:id="echoid-s3642" xml:space="preserve">in ſeparatione D ſuſtentaculi Orbis cum ponde-
              <lb/>
            re O (Fig. </s>
            <s xml:id="echoid-s3643" xml:space="preserve">9) connectitur. </s>
            <s xml:id="echoid-s3644" xml:space="preserve">Pondus parti inferiori ſuſten-
              <lb/>
            taculi imponitur, & </s>
            <s xml:id="echoid-s3645" xml:space="preserve">receſſu Globi a centro elevatur.</s>
            <s xml:id="echoid-s3646" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3647" xml:space="preserve">Pondus hocce eſt Orbis plumbeus, diametri circiter duo-
              <lb/>
            rum pollicum; </s>
            <s xml:id="echoid-s3648" xml:space="preserve">in centro perpendiculariter ei inhæret cy-
              <lb/>
            lindrus æneus, cum cujus extremitate ſuperiori filum con-
              <lb/>
            jungitur. </s>
            <s xml:id="echoid-s3649" xml:space="preserve">Ponderat Orbis cum cylindro ſemi-libram, duo
              <lb/>
            talia pondera dantur.</s>
            <s xml:id="echoid-s3650" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3651" xml:space="preserve">Dantur varia alia pondera, quædam ſemi-libræ, alia qua-
              <lb/>
            drantis, quorum figura datur in P (Fig. </s>
            <s xml:id="echoid-s3652" xml:space="preserve">9.)</s>
            <s xml:id="echoid-s3653" xml:space="preserve">, & </s>
            <s xml:id="echoid-s3654" xml:space="preserve">quæ præ-
              <lb/>
            dicto ponderi O ſuperimponuntur, ut ſic ad libitum pondus
              <lb/>
            cum Globo conjunctum variari poſſit.</s>
            <s xml:id="echoid-s3655" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s3656" xml:space="preserve">Quando corpus plano impoſitum, cum iſto plano, æquali in
              <lb/>
              <note position="right" xlink:label="note-0143-01" xlink:href="note-0143-01a" xml:space="preserve">349.</note>
            tempore, circa commune centrum revolvitur, & </s>
            <s xml:id="echoid-s3657" xml:space="preserve">circulum
              <lb/>
            deſcribit; </s>
            <s xml:id="echoid-s3658" xml:space="preserve">ſi vis centripeta, qua corpus, omnibus momentis
              <lb/>
            centrum verſus trabitur aut pellitur, agere ceſſet, & </s>
            <s xml:id="echoid-s3659" xml:space="preserve">pla-
              <lb/>
            num eadem celeritate movere continuet; </s>
            <s xml:id="echoid-s3660" xml:space="preserve">corpus a centro re-
              <lb/>
            cedere incipit, reſpectu plani, per lineam quæ per centrum
              <lb/>
            tranſit.</s>
            <s xml:id="echoid-s3661" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div542" type="section" level="1" n="167">
          <head xml:id="echoid-head239" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          1.</head>
          <p>
            <s xml:id="echoid-s3662" xml:space="preserve">Detur Globus funi tenui cohærens, extremitaſque altera
              <lb/>
              <note position="right" xlink:label="note-0143-02" xlink:href="note-0143-02a" xml:space="preserve">350.</note>
            fixa ſit in centro Orbis unius
              <emph style="sc">A</emph>
            aut B, & </s>
            <s xml:id="echoid-s3663" xml:space="preserve">ſolus circumvol-
              <lb/>
            vatur, donec Globus ei impoſitus eodem tempore cum illo
              <lb/>
            circumrotetur; </s>
            <s xml:id="echoid-s3664" xml:space="preserve">reſpectu Orbis quieſcit Globus, & </s>
            <s xml:id="echoid-s3665" xml:space="preserve">in eo ſitu,
              <lb/>
            ſolo fune centro Orbis alligato, retinetur; </s>
            <s xml:id="echoid-s3666" xml:space="preserve">nullam ergo im-
              <lb/>
            preſſionem in illo plano patitur, nifi qua funis diſtenditur
              <lb/>
            id eſt, cujus directio per centrum Orbis tranſit, & </s>
            <s xml:id="echoid-s3667" xml:space="preserve">ſic, ſi
              <lb/>
            ſibi relinquatur, non poteſt in illo plano, in primo momen-
              <lb/>
            to, ſecundum aliam directionem moveri.</s>
            <s xml:id="echoid-s3668" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s3669" xml:space="preserve">Quando corpus circa centrum movetur, ſi inter movendum
              <lb/>
              <note position="right" xlink:label="note-0143-03" xlink:href="note-0143-03a" xml:space="preserve">351.</note>
            </s>
          </p>
        </div>
      </text>
    </echo>