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

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        <div xml:id="echoid-div231" type="section" level="1" n="81">
          <p>
            <s xml:id="echoid-s1539" xml:space="preserve">
              <pb o="31" file="0065" n="67" rhead="MATHEMATICA. LIB. I. CAP. IX."/>
            pondus unius unciæ 30, & </s>
            <s xml:id="echoid-s1540" xml:space="preserve">tandem pondus trium unciarum
              <lb/>
            60 diviſioni applicantur, & </s>
            <s xml:id="echoid-s1541" xml:space="preserve">æquilibrium datur, ſi pondus
              <lb/>
            unicum quinque unciarum 50 diviſioni, alterius brachii,
              <lb/>
            ſuſpendatur.</s>
            <s xml:id="echoid-s1542" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1543" xml:space="preserve">Multiplicando 50 per 5, productum habemus 250. </s>
            <s xml:id="echoid-s1544" xml:space="preserve">In a-
              <lb/>
            lio brachio tria habemus producta, 20 x 2 ideſt 40, 30 x 1,
              <lb/>
            ideſt 30, & </s>
            <s xml:id="echoid-s1545" xml:space="preserve">60 x 3, nempe 180. </s>
            <s xml:id="echoid-s1546" xml:space="preserve">Colligendo nunc 40, 30,
              <lb/>
            180, in unam ſummam etiam habemus 250.</s>
            <s xml:id="echoid-s1547" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1548" xml:space="preserve">Plurima pondera, numero inæquali, ab utraque parte,
              <lb/>
              <note position="right" xlink:label="note-0065-01" xlink:href="note-0065-01a" xml:space="preserve">141.</note>
            poſſunt æquiponderare. </s>
            <s xml:id="echoid-s1549" xml:space="preserve">In eo caſu, ſi unumquodque mul-
              <lb/>
            tiplicetur per ſuam diſtantiam a centro, ſummæ producto-
              <lb/>
            rum ab utraque parte erunt æquales: </s>
            <s xml:id="echoid-s1550" xml:space="preserve">& </s>
            <s xml:id="echoid-s1551" xml:space="preserve">ſi ſummæ iſtæ ſunt
              <lb/>
            æquales, datur æquilibrium.</s>
            <s xml:id="echoid-s1552" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div234" type="section" level="1" n="82">
          <head xml:id="echoid-head128" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          6.</head>
          <p>
            <s xml:id="echoid-s1553" xml:space="preserve">Ex inſpectione figuræ Experimentum hoc ſatis patet.
              <lb/>
            </s>
            <s xml:id="echoid-s1554" xml:space="preserve">
              <note position="right" xlink:label="note-0065-02" xlink:href="note-0065-02a" xml:space="preserve">142.</note>
            Multiplicando ſingula pondera, per ſuas a centro diſtantias,
              <lb/>
              <note position="right" xlink:label="note-0065-03" xlink:href="note-0065-03a" xml:space="preserve">TAB. III.
                <lb/>
              fig. 6.</note>
            habemus ab una parte producta 15, 40, 110, 80. </s>
            <s xml:id="echoid-s1555" xml:space="preserve">90. </s>
            <s xml:id="echoid-s1556" xml:space="preserve">500,
              <lb/>
            ad aliam partem 70, 105, 300, 360: </s>
            <s xml:id="echoid-s1557" xml:space="preserve">quorum ſumma utra-
              <lb/>
            que eſt 835.</s>
            <s xml:id="echoid-s1558" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div236" type="section" level="1" n="83">
          <head xml:id="echoid-head129" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          7.</head>
          <p style="it">
            <s xml:id="echoid-s1559" xml:space="preserve">Centrum gravitatis vocatur punctum in corpore, circa
              <lb/>
              <note position="right" xlink:label="note-0065-04" xlink:href="note-0065-04a" xml:space="preserve">143.</note>
            quod omnes partes corporis, in quocumque ſitu poſiti, in æ-
              <lb/>
            quilibrio ſunt.</s>
            <s xml:id="echoid-s1560" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1561" xml:space="preserve">Quando duo aut plura corpora junguntur, ſive ſint conti-
              <lb/>
              <note position="right" xlink:label="note-0065-05" xlink:href="note-0065-05a" xml:space="preserve">144.</note>
            gua, ſive ſeparata, commune centrum gravitatis habent.</s>
            <s xml:id="echoid-s1562" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1563" xml:space="preserve">Quando centrum gravitatis ſuſtinetur, corpus quieſcere
              <lb/>
              <note position="right" xlink:label="note-0065-06" xlink:href="note-0065-06a" xml:space="preserve">145.</note>
            poteſt; </s>
            <s xml:id="echoid-s1564" xml:space="preserve">quia inter partes oppoſitas æquilibrium datur.</s>
            <s xml:id="echoid-s1565" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div240" type="section" level="1" n="84">
          <head xml:id="echoid-head130" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          7.</head>
          <p>
            <s xml:id="echoid-s1566" xml:space="preserve">Corpus A ſuſtinetur & </s>
            <s xml:id="echoid-s1567" xml:space="preserve">quieſcit, quia centrum illius gra-
              <lb/>
              <note position="right" xlink:label="note-0065-07" xlink:href="note-0065-07a" xml:space="preserve">146.</note>
            vitatis c, ſuſtinetur a fulcro F.</s>
            <s xml:id="echoid-s1568" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">TAB. IV.
            <lb/>
          fig. 2.</note>
          <p style="it">
            <s xml:id="echoid-s1569" xml:space="preserve">Quando centrum gravitatis non ſuſtinetur, corpus movetur
              <lb/>
              <note position="right" xlink:label="note-0065-09" xlink:href="note-0065-09a" xml:space="preserve">147.</note>
            donec ſuſtineatur.</s>
            <s xml:id="echoid-s1570" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div243" type="section" level="1" n="85">
          <head xml:id="echoid-head131" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          8.</head>
          <note position="right" xml:space="preserve">148.</note>
          <p>
            <s xml:id="echoid-s1571" xml:space="preserve">Corpus A menſæ impoſitum cadet, & </s>
            <s xml:id="echoid-s1572" xml:space="preserve">corpus B in ſitu,
              <lb/>
              <note position="right" xlink:label="note-0065-11" xlink:href="note-0065-11a" xml:space="preserve">TAB. IV.
                <lb/>
              fig. 3.</note>
            in quo repræſentatur, non manebit, quia horum centra gra-
              <lb/>
            vitatis non ſuſtinentur.</s>
            <s xml:id="echoid-s1573" xml:space="preserve"/>
          </p>
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