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

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        <div xml:id="echoid-div270" type="section" level="1" n="92">
          <pb o="36" file="0074" n="78" rhead="PHYSICES ELEMENTA"/>
        </div>
        <div xml:id="echoid-div278" type="section" level="1" n="93">
          <head xml:id="echoid-head141" xml:space="preserve">CAPUT X.</head>
          <head xml:id="echoid-head142" xml:space="preserve">De Vecte, Machinarum ſimplicium prima.</head>
          <head xml:id="echoid-head143" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          1.</head>
          <p style="it">
            <s xml:id="echoid-s1735" xml:space="preserve">VEctis à Matbematicis vocatur linearecta inflexilis, pon-
              <lb/>
              <note position="left" xlink:label="note-0074-01" xlink:href="note-0074-01a" xml:space="preserve">172.</note>
            deribus ſuſtinendis, aut elevandis, accommodata, pon-
              <lb/>
              <note position="left" xlink:label="note-0074-02" xlink:href="note-0074-02a" xml:space="preserve">TAB. V.
                <lb/>
              fig. 1.</note>
            deris vel nullius, vel ſaltem æquabilis.</s>
            <s xml:id="echoid-s1736" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1737" xml:space="preserve">Inter Machinas, quæ ſimplices vocantur, primum locum
              <lb/>
            occupat, eſt omnium ſimpliciſſima; </s>
            <s xml:id="echoid-s1738" xml:space="preserve">& </s>
            <s xml:id="echoid-s1739" xml:space="preserve">uſu venit, quando
              <lb/>
            pondera ad parvam altitudinem elevanda ſunt.</s>
            <s xml:id="echoid-s1740" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1741" xml:space="preserve">Quatuor aliæ dantur Machinæ ſimplices, de quibus in tri-
              <lb/>
            bus capitibus ſequentibus.</s>
            <s xml:id="echoid-s1742" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1743" xml:space="preserve">Circa Vectem tria conſiderari debent. </s>
            <s xml:id="echoid-s1744" xml:space="preserve">1. </s>
            <s xml:id="echoid-s1745" xml:space="preserve">Pondus ſuſti-
              <lb/>
              <note position="left" xlink:label="note-0074-03" xlink:href="note-0074-03a" xml:space="preserve">173.</note>
            nendum, aut elevandum, P. </s>
            <s xml:id="echoid-s1746" xml:space="preserve">2, Potentia, qua ſuſtinetur, aut
              <lb/>
            elevatur, quæ hîc pondere M deſignatur, & </s>
            <s xml:id="echoid-s1747" xml:space="preserve">vulgo eſtactio
              <lb/>
            hominis. </s>
            <s xml:id="echoid-s1748" xml:space="preserve">3. </s>
            <s xml:id="echoid-s1749" xml:space="preserve">Fulcrum, id eſt, illud quo Vectis ſuſtinetur,
              <lb/>
            & </s>
            <s xml:id="echoid-s1750" xml:space="preserve">ſuper quo movetur, aut potius rotatur, dum ipſum im-
              <lb/>
            mobile manet, F.</s>
            <s xml:id="echoid-s1751" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1752" xml:space="preserve">Vectes triplicis ſunt generis.</s>
            <s xml:id="echoid-s1753" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">174.</note>
          <p>
            <s xml:id="echoid-s1754" xml:space="preserve">1. </s>
            <s xml:id="echoid-s1755" xml:space="preserve">Aliquando fulerum inter pondus & </s>
            <s xml:id="echoid-s1756" xml:space="preserve">potentiam ponitur.
              <lb/>
            </s>
            <s xml:id="echoid-s1757" xml:space="preserve">
              <note position="left" xlink:label="note-0074-05" xlink:href="note-0074-05a" xml:space="preserve">TAB. V.
                <lb/>
              fig. 1.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s1758" xml:space="preserve">2. </s>
            <s xml:id="echoid-s1759" xml:space="preserve">Aliquando pondus inter fulcrum & </s>
            <s xml:id="echoid-s1760" xml:space="preserve">potentiam.</s>
            <s xml:id="echoid-s1761" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">TAB. V.
            <lb/>
          fig. 2.</note>
          <p>
            <s xml:id="echoid-s1762" xml:space="preserve">3. </s>
            <s xml:id="echoid-s1763" xml:space="preserve">Sæpe etiam ipſa potentia agit inter pondus & </s>
            <s xml:id="echoid-s1764" xml:space="preserve">fulcrum.
              <lb/>
            </s>
            <s xml:id="echoid-s1765" xml:space="preserve">
              <note position="left" xlink:label="note-0074-07" xlink:href="note-0074-07a" xml:space="preserve">TAB. V.
                <lb/>
              fig. 3.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s1766" xml:space="preserve">In omnibus caſibus regulæ eædem locum habent, quæ ex
              <lb/>
            iis, quæ de libra dicta ſunt , ſequuntur, & </s>
            <s xml:id="echoid-s1767" xml:space="preserve">quæ analogiam
              <note symbol="*" position="left" xlink:label="note-0074-08" xlink:href="note-0074-08a" xml:space="preserve">129.</note>
            ter libram & </s>
            <s xml:id="echoid-s1768" xml:space="preserve">vectem oſtendunt. </s>
            <s xml:id="echoid-s1769" xml:space="preserve">Vectis primi generis eſt qua-
              <lb/>
            ſi ſtatera Romana ad elevanda pondera accommodata.</s>
            <s xml:id="echoid-s1770" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1771" xml:space="preserve">Actio potentiæ, & </s>
            <s xml:id="echoid-s1772" xml:space="preserve">ponderis reſiſtentia, creſcunt in ratio-
              <lb/>
              <note position="left" xlink:label="note-0074-09" xlink:href="note-0074-09a" xml:space="preserve">175.</note>
            ne diſtantiæ à fulcro ; </s>
            <s xml:id="echoid-s1773" xml:space="preserve">ideòque, ut potentia valeat ad
              <note symbol="*" position="left" xlink:label="note-0074-10" xlink:href="note-0074-10a" xml:space="preserve">119.</note>
            nendum pondus, requiritur, ut diſtantia puncti in vecte,
              <lb/>
            cui applicatur, ſit ad ponderis diſtantiam, ut pondas ad po-
              <lb/>
            tentiæ intenſitatem , quæ ſi paululum adaugeatur,
              <note symbol="*" position="left" xlink:label="note-0074-11" xlink:href="note-0074-11a" xml:space="preserve">134.</note>
            elevabitur.</s>
            <s xml:id="echoid-s1774" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div285" type="section" level="1" n="94">
          <head xml:id="echoid-head144" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          1. 2. & 3.</head>
          <p>
            <s xml:id="echoid-s1775" xml:space="preserve">Hæc regula experimentis confirmatur erga memoratos
              <lb/>
              <note position="left" xlink:label="note-0074-12" xlink:href="note-0074-12a" xml:space="preserve">176.</note>
            tres vectes, ut patet ex fig. </s>
            <s xml:id="echoid-s1776" xml:space="preserve">1. </s>
            <s xml:id="echoid-s1777" xml:space="preserve">2. </s>
            <s xml:id="echoid-s1778" xml:space="preserve">& </s>
            <s xml:id="echoid-s1779" xml:space="preserve">3, Tab. </s>
            <s xml:id="echoid-s1780" xml:space="preserve">v.</s>
            <s xml:id="echoid-s1781" xml:space="preserve">; æquilibrium
              <lb/>
              <note position="left" xlink:label="note-0074-13" xlink:href="note-0074-13a" xml:space="preserve">TAB. V.
                <lb/>
              fig. 1. 2. & 3.</note>
            enim datur, quando pondera P, & </s>
            <s xml:id="echoid-s1782" xml:space="preserve">pondera M quæpoten-
              <lb/>
            tias repræſentant, ut & </s>
            <s xml:id="echoid-s1783" xml:space="preserve">diſtantiæ à fulcro F, </s>
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