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

Table of handwritten notes

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          <pb o="131" file="0195" n="212" rhead="MATHEMATICA. LIB. I. CAP. XXIII."/>
          <p>
            <s xml:id="echoid-s5211" xml:space="preserve">Cavitas hæc menſuranda eſt & </s>
            <s xml:id="echoid-s5212" xml:space="preserve">tollendum lignum N.
              <lb/>
            </s>
            <s xml:id="echoid-s5213" xml:space="preserve">Maſſa corporis eſt quatuor, velocitas quinque; </s>
            <s xml:id="echoid-s5214" xml:space="preserve">ergo vis
              <lb/>
            centum deſtructa fuit formando cavitatem.</s>
            <s xml:id="echoid-s5215" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0195-01" xlink:href="note-0195-01a" xml:space="preserve">470.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s5216" xml:space="preserve">Cavitas minor cylindri G (Fig. </s>
            <s xml:id="echoid-s5217" xml:space="preserve">5.) </s>
            <s xml:id="echoid-s5218" xml:space="preserve">argillâ replenda eſt,
              <lb/>
            ſuperficieſque abradenda cultro ligneo, ut unita ſit; </s>
            <s xml:id="echoid-s5219" xml:space="preserve">dein-
              <lb/>
            de ponderandus eſt cylindrus, tantumque argillæ adjicien-
              <lb/>
            dum, ut cum cylindro D (Fig. </s>
            <s xml:id="echoid-s5220" xml:space="preserve">4.) </s>
            <s xml:id="echoid-s5221" xml:space="preserve">æqualiter ponderet, quæ ar-
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            gilla majori cavitati intrudi debet.</s>
            <s xml:id="echoid-s5222" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5223" xml:space="preserve">Suſpenſis nunc cylindris ita, ut pars conica cylindri D(Fig. </s>
            <s xml:id="echoid-s5224" xml:space="preserve">4.)</s>
            <s xml:id="echoid-s5225" xml:space="preserve">,
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            oleo illinita, alium verſus dirigatur; </s>
            <s xml:id="echoid-s5226" xml:space="preserve">à partibus oppoſitis ſingu-
              <lb/>
            li a diviſione quinta dimittendi ſunt, in ſe mutuo incur-
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            runt, poſt ictum quieſcunt, & </s>
            <s xml:id="echoid-s5227" xml:space="preserve">cavitas in argilla formatur.
              <lb/>
            </s>
            <s xml:id="echoid-s5228" xml:space="preserve">Menſuranda eſt hæc; </s>
            <s xml:id="echoid-s5229" xml:space="preserve">ſingulorum corporum maſſæ valent duo,
              <lb/>
            velocitates ſunt quinque, ergo ſingulorum vires quinqua-
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            ginta , & </s>
            <s xml:id="echoid-s5230" xml:space="preserve">vis tota in colliſione deſtructa valet etiam
              <note symbol="*" position="right" xlink:label="note-0195-02" xlink:href="note-0195-02a" xml:space="preserve">470.</note>
            tum.</s>
            <s xml:id="echoid-s5231" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5232" xml:space="preserve">Iiſdem manentibus, unitâ iterum ſuperficie argillæ in ca-
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            vitate minori cylindri, dimittendi ſunt ambo ab eadem par-
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            te, unus ab altitudine quinque, alter ab altitudine quindecim;
              <lb/>
            </s>
            <s xml:id="echoid-s5233" xml:space="preserve">poſt ictum non ſeparantur & </s>
            <s xml:id="echoid-s5234" xml:space="preserve">ſimul ad diviſionem decimam
              <lb/>
            adſcendunt; </s>
            <s xml:id="echoid-s5235" xml:space="preserve">ſi enim huic diviſioni index applicetur ad ipſum
              <lb/>
            pertingit filum, non autem ad illum pertingit hoc, ſi magis
              <lb/>
            index removeatur. </s>
            <s xml:id="echoid-s5236" xml:space="preserve">Et hìc cavitas formatur, quæ menſuran-
              <lb/>
            da eſt. </s>
            <s xml:id="echoid-s5237" xml:space="preserve">Unius corporis maſſa eſt duo, velocitas quindecim; </s>
            <s xml:id="echoid-s5238" xml:space="preserve">
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            ergo vis quadringenta & </s>
            <s xml:id="echoid-s5239" xml:space="preserve">quinquaginta, alterius vis eſt quin-
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            quaginta, & </s>
            <s xml:id="echoid-s5240" xml:space="preserve">ſumma virium ante ictum quingenta. </s>
            <s xml:id="echoid-s5241" xml:space="preserve">Poſt ictum
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            maſſa eſt quatuor & </s>
            <s xml:id="echoid-s5242" xml:space="preserve">velocitas decem; </s>
            <s xml:id="echoid-s5243" xml:space="preserve">ergo vis quadringen-
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            ta: </s>
            <s xml:id="echoid-s5244" xml:space="preserve">vis ergo ictu deſtructa etiam eſt centum ut in duobus præ-
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            cedentibus experimentis.</s>
            <s xml:id="echoid-s5245" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5246" xml:space="preserve">In tribus hiſce caſibus cavitates quâm exactiſſimè ſunt
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            æquales, quod Experimentis confirmandum erat. </s>
            <s xml:id="echoid-s5247" xml:space="preserve">In primo
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            & </s>
            <s xml:id="echoid-s5248" xml:space="preserve">tertio caſu vires non fuere contrariæ, & </s>
            <s xml:id="echoid-s5249" xml:space="preserve">niſi ſuperando
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            partium cohæſionem potuiſſe vim quandam deſtrui clare
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            patet.</s>
            <s xml:id="echoid-s5250" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5251" xml:space="preserve">Experimenta potuiſſent eodem modo inſtitui, partibus
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              <note position="right" xlink:label="note-0195-03" xlink:href="note-0195-03a" xml:space="preserve">493.</note>
            cylindrorum hemiſphæricis in argillam incurrentibus, ſed </s>
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