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

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              <pb o="176" file="0252" n="275" rhead="PHYSICES ELEMENTA"/>
            fuere flexa , deſideratam, ut hunc præſtent effectum,
              <note symbol="*" position="left" xlink:label="note-0252-01" xlink:href="note-0252-01a" xml:space="preserve">557.</note>
            untur reſiſtentiam, æqualem nempe illi, quam in inflexione
              <lb/>
            paſſa ſunt, nam eodem modo corpus reſiſtit, dum certam a-
              <lb/>
            mittit vim & </s>
            <s xml:id="echoid-s6912" xml:space="preserve">dum eandem acquirit.</s>
            <s xml:id="echoid-s6913" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6914" xml:space="preserve">Unde generalem hanc deducimus concluſionem, mutationem
              <lb/>
              <note position="left" xlink:label="note-0252-02" xlink:href="note-0252-02a" xml:space="preserve">629</note>
            in velocitate, in impactione corporum elaſticorum quorumcun-
              <lb/>
            que, reſpectu ſingulorum duplam eſſe illius quæ in eodem in-
              <lb/>
            curſu, datis corporibus non elaſticis, locum baberet: </s>
            <s xml:id="echoid-s6915" xml:space="preserve">ideo
              <lb/>
            regulæ n 567. </s>
            <s xml:id="echoid-s6916" xml:space="preserve">568. </s>
            <s xml:id="echoid-s6917" xml:space="preserve">& </s>
            <s xml:id="echoid-s6918" xml:space="preserve">hìc applicari poſſunt.</s>
            <s xml:id="echoid-s6919" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6920" xml:space="preserve">In demonſtratione hac ponimus actione mutua duorum
              <lb/>
              <note position="left" xlink:label="note-0252-03" xlink:href="note-0252-03a" xml:space="preserve">630</note>
            corporum ut A & </s>
            <s xml:id="echoid-s6921" xml:space="preserve">Belaſticas horum corporum partes tantum
              <lb/>
              <note position="left" xlink:label="note-0252-04" xlink:href="note-0252-04a" xml:space="preserve">
                <emph style="sc">TAB. XXV.</emph>
                <lb/>
              fig 4.</note>
            intropremi, id eſt, illud tantum flecti elaſterium quod da-
              <lb/>
            tur inter hæc corpora ubi in a, b, concurrunt nullamque
              <lb/>
            hujus actionis partem transferri ad inflectendas partes elaſti-
              <lb/>
            cas inter b & </s>
            <s xml:id="echoid-s6922" xml:space="preserve">c.</s>
            <s xml:id="echoid-s6923" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6924" xml:space="preserve">Hæc ſic ſeſe revera haberi ſequi videtur ex ſubitâ admo-
              <lb/>
            dum partium elaſticarum inflexione & </s>
            <s xml:id="echoid-s6925" xml:space="preserve">inſtauratione, quam
              <lb/>
            ſuperius demonſtravimus .</s>
            <s xml:id="echoid-s6926" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0252-05" xlink:href="note-0252-05a" xml:space="preserve">583. 584.</note>
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          <p>
            <s xml:id="echoid-s6927" xml:space="preserve">Si autem concipiamus partes lentius intropremi, ut in-
              <lb/>
            tropremuntur partes corporum mollium non ſeparantur cor-
              <lb/>
            pora elaſtica, ut ad ſe mutuo acceſſere, & </s>
            <s xml:id="echoid-s6928" xml:space="preserve">difficilior eſt mo-
              <lb/>
            tus determinatio.</s>
            <s xml:id="echoid-s6929" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6930" xml:space="preserve">In concurſu trium Corporum mollium A, B, & </s>
            <s xml:id="echoid-s6931" xml:space="preserve">C, eodemmo-
              <lb/>
              <note position="left" xlink:label="note-0252-06" xlink:href="note-0252-06a" xml:space="preserve">631</note>
            mento ad ſe mutuo accedentium, introceſſiones ſunt æquales
              <lb/>
            inter a & </s>
            <s xml:id="echoid-s6932" xml:space="preserve">b & </s>
            <s xml:id="echoid-s6933" xml:space="preserve">inter b & </s>
            <s xml:id="echoid-s6934" xml:space="preserve">c, licet actiones ſint inæquales; </s>
            <s xml:id="echoid-s6935" xml:space="preserve">nam
              <lb/>
            dum, Cagit in B, ſi hæc actio, actionem ſuperet quam A in B
              <lb/>
            ad partem oppoſitam exerit non modo c intropremit partes
              <lb/>
            inter b & </s>
            <s xml:id="echoid-s6936" xml:space="preserve">c; </s>
            <s xml:id="echoid-s6937" xml:space="preserve">ſed & </s>
            <s xml:id="echoid-s6938" xml:space="preserve">premit, in b ita ut augeatur actio in-
              <lb/>
            ter b & </s>
            <s xml:id="echoid-s6939" xml:space="preserve">a; </s>
            <s xml:id="echoid-s6940" xml:space="preserve">quareactione mutua corporum c & </s>
            <s xml:id="echoid-s6941" xml:space="preserve">b, non modo
              <lb/>
            partes inter hæc corpora intropremuntur, ſed & </s>
            <s xml:id="echoid-s6942" xml:space="preserve">augetur
              <lb/>
            introceſſio partium inter a & </s>
            <s xml:id="echoid-s6943" xml:space="preserve">c, & </s>
            <s xml:id="echoid-s6944" xml:space="preserve">hæc actio diſpergitur ita,
              <lb/>
            ut b, quod inter a & </s>
            <s xml:id="echoid-s6945" xml:space="preserve">c quieſcit, æqualiter ab utraque par-
              <lb/>
            te prematur; </s>
            <s xml:id="echoid-s6946" xml:space="preserve">quare ab utraque parte, introceſſiones ſi æque
              <lb/>
            facile partes introcedant, æquales ſunt; </s>
            <s xml:id="echoid-s6947" xml:space="preserve">ſumma vero cavi-
              <lb/>
            tatum ambarum ſequitur proportionem vis deſtructæ in his
              <lb/>
            formandis .</s>
            <s xml:id="echoid-s6948" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0252-07" xlink:href="note-0252-07a" xml:space="preserve">464. 488.</note>
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