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

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        <div xml:id="echoid-div250" type="section" level="1" n="88">
          <p>
            <s xml:id="echoid-s1596" xml:space="preserve">
              <pb o="33" file="0069" n="72" rhead="MATHEMATICA. LIB. I. CAP. IX."/>
            tur; </s>
            <s xml:id="echoid-s1597" xml:space="preserve">deſcendet centrum gravitatis, dum corpus juxta pla-
              <lb/>
            num adſcendit, poſita juſta plani inclinatione.</s>
            <s xml:id="echoid-s1598" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1599" xml:space="preserve">Aſcendit corpus dum rotatur partem plani ſuperiorem
              <lb/>
            verſus; </s>
            <s xml:id="echoid-s1600" xml:space="preserve">ſed dum ſicrotatur cavendum eſt, ne juxta planum
              <lb/>
            labatur, ad quod requiritur funis, quo pro parte cylindrus
              <lb/>
            circumdatur, cujus extremitas una cylindro in f connecti-
              <lb/>
            tur, extremitate alterâ in d plano affixâ manente.</s>
            <s xml:id="echoid-s1601" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1602" xml:space="preserve">Ulterius ex iis, quæ de centro gravitatis dicta ſunt, de-
              <lb/>
            ducitur; </s>
            <s xml:id="echoid-s1603" xml:space="preserve">Punctum in quocunque corpore, aut machina, quod
              <lb/>
              <note position="right" xlink:label="note-0069-01" xlink:href="note-0069-01a" xml:space="preserve">153.</note>
            ſuſtinet centrum gravitatis alicujus ponderis, totum pondus
              <lb/>
            ſuſtinere: </s>
            <s xml:id="echoid-s1604" xml:space="preserve">totamque vim, qua corpus terram verſus tendit,
              <lb/>
            in hoc centro quaſi coactam dari.</s>
            <s xml:id="echoid-s1605" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div254" type="section" level="1" n="89">
          <head xml:id="echoid-head135" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          13.</head>
          <p>
            <s xml:id="echoid-s1606" xml:space="preserve">Si corpus A B, cujus centrum gravitatis brachio libræ
              <lb/>
              <note position="right" xlink:label="note-0069-02" xlink:href="note-0069-02a" xml:space="preserve">154.</note>
            imponitur, aliquo in ſitu æquiponderat cum pondere P,
              <lb/>
              <note position="right" xlink:label="note-0069-03" xlink:href="note-0069-03a" xml:space="preserve">TAB. IV.
                <lb/>
              fig. 7.</note>
            in omni alio ſitu, ab, ab, manente centro gravitatis C,
              <lb/>
            æquiponderabit.</s>
            <s xml:id="echoid-s1607" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1608" xml:space="preserve">Ad perfectionem libræ requiruntur 1. </s>
            <s xml:id="echoid-s1609" xml:space="preserve">ut puncta ſuſpen-
              <lb/>
              <note position="right" xlink:label="note-0069-04" xlink:href="note-0069-04a" xml:space="preserve">155.</note>
            ſionis lancium, aut ponderum, ſint exactè in eadem linea
              <lb/>
            cum centro libræ; </s>
            <s xml:id="echoid-s1610" xml:space="preserve">2. </s>
            <s xml:id="echoid-s1611" xml:space="preserve">ut ab utraque parte exactè ab iſto
              <lb/>
            centro æqualiter diſtent; </s>
            <s xml:id="echoid-s1612" xml:space="preserve">3. </s>
            <s xml:id="echoid-s1613" xml:space="preserve">ut libræ brachia, quantum com-
              <lb/>
            modè fieri poteſt, ſint longa; </s>
            <s xml:id="echoid-s1614" xml:space="preserve">4. </s>
            <s xml:id="echoid-s1615" xml:space="preserve">ut in motu jugi & </s>
            <s xml:id="echoid-s1616" xml:space="preserve">lancium,
              <lb/>
            quantum fieri poteſt, parvus ſit attritus; </s>
            <s xml:id="echoid-s1617" xml:space="preserve">5. </s>
            <s xml:id="echoid-s1618" xml:space="preserve">ut centrum
              <lb/>
            gravitatis jugi ponatur paululum infra centrum motus; </s>
            <s xml:id="echoid-s1619" xml:space="preserve">6.
              <lb/>
            </s>
            <s xml:id="echoid-s1620" xml:space="preserve">tandem ut partes axis, quæ jugo ſeparantur, ſint exa-
              <lb/>
            ctiſſimè in eadem linea recta, quæ ſitum maximè commo-
              <lb/>
            dum habebit, ſi cum jugo angulum efficiat rectum.</s>
            <s xml:id="echoid-s1621" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div257" type="section" level="1" n="90">
          <head xml:id="echoid-head136" xml:space="preserve">SCHOLIUM</head>
          <head xml:id="echoid-head137" style="it" xml:space="preserve">De centro Gravitatis.</head>
          <p>
            <s xml:id="echoid-s1622" xml:space="preserve">Centrum gravitatis diximus eſſe punctum in corpore, circa quod omnes
              <lb/>
            partes ipſius, in quocunque ſitu poſiti, ſunt in æquilibrio: </s>
            <s xml:id="echoid-s1623" xml:space="preserve">tale punctum
              <lb/>
            in corpore quocunque revera dari, cum pleriſque Mechanicis poſuimus, hoc
              <lb/>
            nunc demonſtrabimus.</s>
            <s xml:id="echoid-s1624" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1625" xml:space="preserve">Sint puncta duo gravia A & </s>
            <s xml:id="echoid-s1626" xml:space="preserve">B, inæqualem quamcunque gravitatem haben-
              <lb/>
              <note position="right" xlink:label="note-0069-05" xlink:href="note-0069-05a" xml:space="preserve">156.</note>
            tia; </s>
            <s xml:id="echoid-s1627" xml:space="preserve">concipiantur hæc juncta, lineâ inflexili, rectâ, ſine pondere; </s>
            <s xml:id="echoid-s1628" xml:space="preserve">Detur in
              <lb/>
              <note position="right" xlink:label="note-0069-06" xlink:href="note-0069-06a" xml:space="preserve">TAB. VIII.
                <lb/>
              fig. 1.</note>
            hac punctum C tale, ut CA ſit ad CB, ut pondus puncti B ad pondus pun-
              <lb/>
            cti A. </s>
            <s xml:id="echoid-s1629" xml:space="preserve">Pondera hæc in æquilibrio erunt circa C, & </s>
            <s xml:id="echoid-s1630" xml:space="preserve">quidem in ſitu </s>
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