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

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            <s xml:id="echoid-s2152" xml:space="preserve">
              <pb o="47" file="0089" n="95" rhead="MATHEMATICA. LIB. I. CAP. XIV."/>
            gula CHD, CAD ; </s>
            <s xml:id="echoid-s2153" xml:space="preserve">& </s>
            <s xml:id="echoid-s2154" xml:space="preserve">DH ad DC, ut AD ad AC. </s>
            <s xml:id="echoid-s2155" xml:space="preserve">In hoc
              <note symbol="*" position="right" xlink:label="note-0089-01" xlink:href="note-0089-01a" xml:space="preserve">8. El. VI.</note>
            ergo eſt vis, qua Cuneus intruditur, ad ligni reſiſtentiam, ubi æque pollent, ut ſe-
              <lb/>
            mibaſis cunei ad bujus latus.</s>
            <s xml:id="echoid-s2156" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div349" type="section" level="1" n="118">
          <head xml:id="echoid-head171" xml:space="preserve">SCHOLIUM 2.</head>
          <head xml:id="echoid-head172" xml:space="preserve">Machinæ cujuſdam examen.</head>
          <p>
            <s xml:id="echoid-s2157" xml:space="preserve">Machinam ad cunei proprietates demonſtrandum, à ſuperius deſcriptâ
              <note position="right" xlink:label="note-0089-02" xlink:href="note-0089-02a" xml:space="preserve">215.</note>
              <note symbol="*" position="right" xlink:label="note-0089-03" xlink:href="note-0089-03a" xml:space="preserve">206.</note>
            diverſam, adhibuere alii; </s>
            <s xml:id="echoid-s2158" xml:space="preserve">ipſe olim talem paululum tantum immuta-
              <lb/>
            tam, eodem tamen principio nixam, conſtrui curavi, quæ hìc exhibetur;</s>
            <s xml:id="echoid-s2159" xml:space="preserve">ſed in
              <lb/>
            quo failat breviter dicam.</s>
            <s xml:id="echoid-s2160" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2161" xml:space="preserve">In hac cuneus, illi ſimilis cum quo experimenta in noſtra machina inſti-
              <lb/>
              <note position="right" xlink:label="note-0089-04" xlink:href="note-0089-04a" xml:space="preserve">TAB. VII.
                <lb/>
              fig. 7.</note>
            tuuntur, eodem modo ac ubi de noſtra egimus dictum, pondere M inter cy-
              <lb/>
            lindros E, E, trahitur; </s>
            <s xml:id="echoid-s2162" xml:space="preserve">cylindri autem moventur juxta regulas æneas CC,
              <lb/>
            CC, ſuper quibus chalybei axes prominentes ponuntur, & </s>
            <s xml:id="echoid-s2163" xml:space="preserve">quæ cum regulis
              <lb/>
            ligneis AA, AA, parallelis inter ſe cohærent. </s>
            <s xml:id="echoid-s2164" xml:space="preserve">Cylindri trahuntur ponderibus
              <lb/>
            P,P, ſuſpenſis funibus, qui cum lamellis æneis cohærent, in quibus forami-
              <lb/>
            na dantur per quæ axes chalybei cylindrorum tranſeunt; </s>
            <s xml:id="echoid-s2165" xml:space="preserve">funes trochleis nt d, d,
              <lb/>
            in regulis AA, AA, fixis, & </s>
            <s xml:id="echoid-s2166" xml:space="preserve">circa axes mobilibus, circumponuntur.</s>
            <s xml:id="echoid-s2167" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2168" xml:space="preserve">In hac machina datur æquilibrium, ſi vis, qua cuneus intruditur, ſe ha-
              <lb/>
            beat ad ſummam ponderum P,P, ut ſemibaſis cunei ad ipſius altitudinem, quæ
              <lb/>
            proportio in cuneo locum non habet .</s>
            <s xml:id="echoid-s2169" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">204.</note>
          <p>
            <s xml:id="echoid-s2170" xml:space="preserve">Machina hæc non repræſentat quæ in actione cunei, quo corpora ſeparan-
              <lb/>
            tur, obtinent; </s>
            <s xml:id="echoid-s2171" xml:space="preserve">pondera enim P,P, non repræſentant vim qua cylindri inter ſe
              <lb/>
            cohærent; </s>
            <s xml:id="echoid-s2172" xml:space="preserve">ſed cylindri ſinguli dimidio ponderum P,P, ad trochleam fixam
              <lb/>
            trahuntur; </s>
            <s xml:id="echoid-s2173" xml:space="preserve">in noſtra autem machina, ponderibus integris P,P, inter ſe co-
              <lb/>
            hærent cylindri.</s>
            <s xml:id="echoid-s2174" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div352" type="section" level="1" n="119">
          <head xml:id="echoid-head173" xml:space="preserve">CAPUT XIV.</head>
          <head xml:id="echoid-head174" xml:space="preserve">De Machinis compoſitis.</head>
          <p>
            <s xml:id="echoid-s2175" xml:space="preserve">JAm vidimus, quomodo Machina ex plurimis vectibus
              <note symbol="*" position="right" xlink:label="note-0089-06" xlink:href="note-0089-06a" xml:space="preserve">177.</note>
            aut plurimis rotis , componi poſſit, & </s>
            <s xml:id="echoid-s2176" xml:space="preserve">quomodo in
              <note symbol="*" position="right" xlink:label="note-0089-07" xlink:href="note-0089-07a" xml:space="preserve">190.</note>
            machinis potentia, ut cum reſiſtentia æquè polleat, ſit adre-
              <lb/>
              <note position="right" xlink:label="note-0089-08" xlink:href="note-0089-08a" xml:space="preserve">216.</note>
            ſiſtentiam, in ratione compoſita ex omnibus rationibus, quas in
              <lb/>
            ſingulis machinis potentia ad reſiſtentias baberent, ſi ſepa-
              <lb/>
            ratim adhiberentur; </s>
            <s xml:id="echoid-s2177" xml:space="preserve">hæc eadem regula in omnibus aliis
              <lb/>
            machinis compoſitis obtinet.</s>
            <s xml:id="echoid-s2178" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2179" xml:space="preserve">Non modo plurimæ machinæ ejuſdem generis poſſunt
              <lb/>
            jungi, ex machinis diverſis, variis modis, machina componi
              <lb/>
            poteſt; </s>
            <s xml:id="echoid-s2180" xml:space="preserve">exemplo uno & </s>
            <s xml:id="echoid-s2181" xml:space="preserve">altero id ſatis patebit.</s>
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