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

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        <div xml:id="echoid-div315" type="section" level="1" n="105">
          <p>
            <s xml:id="echoid-s1936" xml:space="preserve">
              <pb o="41" file="0083" n="89" rhead="MATHEMATICA. LIB. I. CAP XII."/>
            libræ, huic extremitati applicatum ſuſtinet pondus P.</s>
            <s xml:id="echoid-s1937" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1938" xml:space="preserve">Plurimi orbiculi utcunque conjungi poſſunt, & </s>
            <s xml:id="echoid-s1939" xml:space="preserve">pondus iis
              <lb/>
              <note position="right" xlink:label="note-0083-01" xlink:href="note-0083-01a" xml:space="preserve">194.</note>
            annecti; </s>
            <s xml:id="echoid-s1940" xml:space="preserve">ſi tunc unum extremum funis fixum ſit, & </s>
            <s xml:id="echoid-s1941" xml:space="preserve">funis
              <lb/>
            circumeat omnes orbiculosillos, & </s>
            <s xml:id="echoid-s1942" xml:space="preserve">fixos æquali numero, par-
              <lb/>
            vâ potentiâ magnum pondus elevari poteſt; </s>
            <s xml:id="echoid-s1943" xml:space="preserve">in hoc caſu quo
              <lb/>
            numerus orbiculorum ponderi conjunctorum major eſt, (fi-
              <lb/>
            xis enim actio potentiæ non mutatur ) eo minor
              <note symbol="*" position="right" xlink:label="note-0083-02" xlink:href="note-0083-02a" xml:space="preserve">124.</note>
            valet ad ſuſtinendum pondus; </s>
            <s xml:id="echoid-s1944" xml:space="preserve">& </s>
            <s xml:id="echoid-s1945" xml:space="preserve">potentia, quæ eſt ad pon-
              <lb/>
              <note position="right" xlink:label="note-0083-03" xlink:href="note-0083-03a" xml:space="preserve">195.</note>
            dus, ut unitas ad duplum numeri or biculorum, cum pondere æ-
              <lb/>
            que pollet.</s>
            <s xml:id="echoid-s1946" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1947" xml:space="preserve">Hic enim eſt numerus funium, quibus pondus ſuſti-
              <lb/>
            netur, & </s>
            <s xml:id="echoid-s1948" xml:space="preserve">unico funi potentia applicatur.</s>
            <s xml:id="echoid-s1949" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div318" type="section" level="1" n="106">
          <head xml:id="echoid-head156" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          2.</head>
          <p>
            <s xml:id="echoid-s1950" xml:space="preserve">Pondus P ſex librarum regulæ AB annectitur, in quatres
              <lb/>
              <note position="right" xlink:label="note-0083-04" xlink:href="note-0083-04a" xml:space="preserve">196.</note>
            orbiculi libere rotantur. </s>
            <s xml:id="echoid-s1951" xml:space="preserve">Unco extremitas funis alligatur,
              <lb/>
              <note position="right" xlink:label="note-0083-05" xlink:href="note-0083-05a" xml:space="preserve">TAB. VII.
                <lb/>
              fig. 2.</note>
            & </s>
            <s xml:id="echoid-s1952" xml:space="preserve">funis circumit tres illos orbiculos, & </s>
            <s xml:id="echoid-s1953" xml:space="preserve">totidem alios fixos;
              <lb/>
            </s>
            <s xml:id="echoid-s1954" xml:space="preserve">alteri extremo pondus unius libræ alligatur, & </s>
            <s xml:id="echoid-s1955" xml:space="preserve">datur æqui-
              <lb/>
            librium,</s>
          </p>
        </div>
        <div xml:id="echoid-div320" type="section" level="1" n="107">
          <head xml:id="echoid-head157" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          3. & 4</head>
          <p>
            <s xml:id="echoid-s1956" xml:space="preserve">Non intereſt quomodocunque orbiculi conjungantur; </s>
            <s xml:id="echoid-s1957" xml:space="preserve">ad
              <lb/>
              <note position="right" xlink:label="note-0083-06" xlink:href="note-0083-06a" xml:space="preserve">197.</note>
            elevanda pondera haud facile præcedens diſpoſitio adhibetur;
              <lb/>
            </s>
            <s xml:id="echoid-s1958" xml:space="preserve">artifices ideò inæqualibus orbiculis utuntur diſpoſitis ut in
              <lb/>
            fig. </s>
            <s xml:id="echoid-s1959" xml:space="preserve">3.</s>
            <s xml:id="echoid-s1960" xml:space="preserve">; magnitudo enim orbiculorum nihil immutat. </s>
            <s xml:id="echoid-s1961" xml:space="preserve">Sæpe
              <lb/>
              <note position="right" xlink:label="note-0083-07" xlink:href="note-0083-07a" xml:space="preserve">TAB. VII.
                <lb/>
              fig. 3.</note>
            etiam, quæ diſpoſitio eſt omnium maxime compendioſa,
              <lb/>
            orbiculi circa eundem axem volubiles ſunt, ut in fig. </s>
            <s xml:id="echoid-s1962" xml:space="preserve">4.</s>
            <s xml:id="echoid-s1963" xml:space="preserve">, & </s>
            <s xml:id="echoid-s1964" xml:space="preserve">
              <lb/>
              <note position="right" xlink:label="note-0083-08" xlink:href="note-0083-08a" xml:space="preserve">TAB. VII.
                <lb/>
              fig. 4.</note>
            in hiſce duobus caſibus experimentum eodem modo proce-
              <lb/>
            dit, ac in 2
              <emph style="super">do</emph>
            experimento.</s>
            <s xml:id="echoid-s1965" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1966" xml:space="preserve">Quando extremitas funis ductarii, quæ in experimentis
              <lb/>
              <note position="right" xlink:label="note-0083-09" xlink:href="note-0083-09a" xml:space="preserve">198.</note>
            præcedentibus fixa eſt, annectitur ponderi aut orbiculis
              <lb/>
              <note position="right" xlink:label="note-0083-10" xlink:href="note-0083-10a" xml:space="preserve">TAB. VII.
                <lb/>
              fig. 5.</note>
            mobilibus, ratio potentiæ ad pondus non eſt ut 1. </s>
            <s xml:id="echoid-s1967" xml:space="preserve">ad du-
              <lb/>
            plum numeri orbiculorum ponderi affixorum; </s>
            <s xml:id="echoid-s1968" xml:space="preserve">ſed unitate
              <lb/>
            augeri debet numerus hicce duplus; </s>
            <s xml:id="echoid-s1969" xml:space="preserve">& </s>
            <s xml:id="echoid-s1970" xml:space="preserve">hîc, ubi duo orbicu-
              <lb/>
            li ponderi annectuntur, ratio eſt ut 1 ad 5; </s>
            <s xml:id="echoid-s1971" xml:space="preserve">tot enim dan-
              <lb/>
            tur funes, quibus pondus ſuſtinetur.</s>
            <s xml:id="echoid-s1972" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div323" type="section" level="1" n="108">
          <head xml:id="echoid-head158" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          5.</head>
          <note position="right" xml:space="preserve">199.</note>
          <p>
            <s xml:id="echoid-s1973" xml:space="preserve">Plurimi orbiculi ſeparati & </s>
            <s xml:id="echoid-s1974" xml:space="preserve">mobiles, habentes ſinguli
              <lb/>
              <note position="right" xlink:label="note-0083-12" xlink:href="note-0083-12a" xml:space="preserve">TAB. VIII.
                <lb/>
              fig. 4.</note>
            </s>
          </p>
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