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

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            <s xml:id="echoid-s4845" xml:space="preserve">
              <pb o="119" file="0181" n="197" rhead="MATHEMATICA. LIB. I. CAP. XXII."/>
            tis unius pollicis. </s>
            <s xml:id="echoid-s4846" xml:space="preserve">Ut cylindrus hicce ſuſpendatur, lamel-
              <lb/>
            læ æneæ perforatæ dantur H & </s>
            <s xml:id="echoid-s4847" xml:space="preserve">I, ut & </s>
            <s xml:id="echoid-s4848" xml:space="preserve">duplicatus uncus
              <lb/>
            in medio in L, cui fila connectuntur quæ per lamellarum H,
              <lb/>
            I, foramina tranſmittuntur. </s>
            <s xml:id="echoid-s4849" xml:space="preserve">Lamella H ita ponitur ut di-
              <lb/>
            miſſa perpendiculari ad axem, A h ſit trium partium quarta-
              <lb/>
            rum unius pollicis.</s>
            <s xml:id="echoid-s4850" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4851" xml:space="preserve">Applicatur cylindrus hic machinæ, cujus ope Experi-
              <lb/>
            menta circa colliſionem corporum inſtituuntur, & </s>
            <s xml:id="echoid-s4852" xml:space="preserve">cujus de-
              <lb/>
            ſcriptio in capite ſequenti habetur dum eidem
              <note symbol="*" position="right" xlink:label="note-0181-01" xlink:href="note-0181-01a" xml:space="preserve">491.</note>
            firmiter jungitur pixis, in eâdem deſcriptione memoranda,
              <lb/>
            argillam mollem cujus ſuperficies plana eſt, continens.</s>
            <s xml:id="echoid-s4853" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4854" xml:space="preserve">In argillam dimittatur cylindrus velocitate quacumque,
              <lb/>
            & </s>
            <s xml:id="echoid-s4855" xml:space="preserve">motum amittat cavitatem formando, extremitate A in
              <lb/>
            argillam incurrente. </s>
            <s xml:id="echoid-s4856" xml:space="preserve">Si, mutato paululum pixidis ſitu, eâ-
              <lb/>
            dem velocitate cylindrus in argillam impingat, extremitate
              <lb/>
            B in hanc penetrante; </s>
            <s xml:id="echoid-s4857" xml:space="preserve">quæcunque fuerit velocitas qua cor-
              <lb/>
            pus in utroque caſu movetur, ſi in utroque eandem habeat
              <lb/>
            velocitatem, id eſt impactione eandem vim amittat; </s>
            <s xml:id="echoid-s4858" xml:space="preserve">cavita-
              <lb/>
            tum diametri erunt ut 2 ad 3.</s>
            <s xml:id="echoid-s4859" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4860" xml:space="preserve">Cavitatum baſes, quæ ſunt ut quadrata diametrorum
              <note symbol="*" position="right" xlink:label="note-0181-02" xlink:href="note-0181-02a" xml:space="preserve">1 El.
                <emph style="sc">XII</emph>
              </note>
            funt ut 4 ad 9, & </s>
            <s xml:id="echoid-s4861" xml:space="preserve">cavitatum profunditates ut 9 ad 4, (hoc
              <lb/>
            enim ex conorum forma ſequitur) id eſt baſes ſunt inversè
              <lb/>
            ut altitudines, quare cavitates ſunt æquales ; </s>
            <s xml:id="echoid-s4862" xml:space="preserve">ideoque
              <note symbol="*" position="right" xlink:label="note-0181-03" xlink:href="note-0181-03a" xml:space="preserve">15. El,
                <lb/>
                <emph style="sc">XII</emph>
              .</note>
            virium æquales ; </s>
            <s xml:id="echoid-s4863" xml:space="preserve">inæqualibus tamen temporibus
              <note symbol="*" position="right" xlink:label="note-0181-04" xlink:href="note-0181-04a" xml:space="preserve">461.</note>
            conſumuntur cum ad inæquales profunditates in argillam pe-
              <lb/>
            netrent coni.</s>
            <s xml:id="echoid-s4864" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4865" xml:space="preserve">Vires corporibus inſitæ, inter ſe differre non poſſunt niſi
              <lb/>
              <note position="right" xlink:label="note-0181-05" xlink:href="note-0181-05a" xml:space="preserve">470.</note>
            reſpectu velocitatis, aut quantitatis materiæ in corporibus:
              <lb/>
            </s>
            <s xml:id="echoid-s4866" xml:space="preserve">ergo vires quæeunque, ex dictis conferuntur inter ſe, &</s>
            <s xml:id="echoid-s4867" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0181-06" xlink:href="note-0181-06a" xml:space="preserve">447. 450.</note>
            ſunt in ratione compoſita quantitatum materiæ, & </s>
            <s xml:id="echoid-s4868" xml:space="preserve">quadra-
              <lb/>
            torum velocitatum. </s>
            <s xml:id="echoid-s4869" xml:space="preserve">Si igitur ſingulorum corporum maſſæ
              <lb/>
            per quadrata ſuarum velocitatum multiplicentur, producta
              <lb/>
            virium rationem exprimunt.</s>
            <s xml:id="echoid-s4870" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4871" xml:space="preserve">Ex his facillime deducimus corpora cadendo vires æqua-
              <lb/>
              <note position="right" xlink:label="note-0181-07" xlink:href="note-0181-07a" xml:space="preserve">471.</note>
            les acquirere, ſi altitudines, quas deſcendendo percurrunt,
              <lb/>
            ſint inter ſe in ratione inverſa maſſarum. </s>
            <s xml:id="echoid-s4872" xml:space="preserve">In </s>
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