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

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          <p>
            <s xml:id="echoid-s1285" xml:space="preserve">
              <pb o="23" file="0055" n="56" rhead="MATHEMATICA. LIB. I CAP. VII."/>
            re, & </s>
            <s xml:id="echoid-s1286" xml:space="preserve">has eſſe æquales quæ ſeſe mutuo deſtruunt, ſi pro
              <lb/>
            axiomate non habeatur, ex dictis haud difficulter deduci po-
              <lb/>
            terit.</s>
            <s xml:id="echoid-s1287" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1288" xml:space="preserve">Ex quibus etiam patet, Preſſiones eſſe inter ſe ut effectus
              <lb/>
              <note position="right" xlink:label="note-0055-01" xlink:href="note-0055-01a" xml:space="preserve">100.</note>
            æqualibus temporibus editos.</s>
            <s xml:id="echoid-s1289" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1290" xml:space="preserve">Si prematur obſtaculum & </s>
            <s xml:id="echoid-s1291" xml:space="preserve">hoc ex loco non recedat, con-
              <lb/>
              <note position="right" xlink:label="note-0055-02" xlink:href="note-0055-02a" xml:space="preserve">101.</note>
            trariâ preſſione deſtruitur preſſio; </s>
            <s xml:id="echoid-s1292" xml:space="preserve">aliter enim hæc nullum
              <lb/>
            ederet effectum. </s>
            <s xml:id="echoid-s1293" xml:space="preserve">Si ergo non deſtruatur, cedit obſtaculum.
              <lb/>
            </s>
            <s xml:id="echoid-s1294" xml:space="preserve">Hìc non conſideranda eſt vis quæ in quibuſdam occaſioni-
              <lb/>
            bus obſtaculo communicatur & </s>
            <s xml:id="echoid-s1295" xml:space="preserve">qua in motu perſeverat ;</s>
            <s xml:id="echoid-s1296" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0055-03" xlink:href="note-0055-03a" xml:space="preserve">12.</note>
            agitur tantum in tota hac parte ſecunda de translatione quæ
              <lb/>
              <note position="right" xlink:label="note-0055-04" xlink:href="note-0055-04a" xml:space="preserve">102.</note>
            eſt effectus immediatus preſſionis, & </s>
            <s xml:id="echoid-s1297" xml:space="preserve">quæ ſemper tantum ſo-
              <lb/>
            la locum habet in momento primo infinite exiguo, quando
              <lb/>
            actione potentiæ obſtaculum movetur.</s>
            <s xml:id="echoid-s1298" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1299" xml:space="preserve">Cum effectus preſſionis contraria preſſione non deſtructæ
              <lb/>
            ſit obſtaculi translatio, ſequitur actiones variarum poten-
              <lb/>
              <note position="right" xlink:label="note-0055-05" xlink:href="note-0055-05a" xml:space="preserve">103.</note>
            tiarum tantum inter ſe poſſe differre reſpectu obſtaculorum
              <lb/>
            in quæ agunt potentiæ, & </s>
            <s xml:id="echoid-s1300" xml:space="preserve">reſpectu ſpatiorum ab obſtaculis per-
              <lb/>
            cuſſorum.</s>
            <s xml:id="echoid-s1301" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div172" type="section" level="1" n="62">
          <head xml:id="echoid-head106" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          .</head>
          <p>
            <s xml:id="echoid-s1302" xml:space="preserve">Magnitudo preſſionis conſiderata cum relatione ad obſta-
              <lb/>
              <note position="right" xlink:label="note-0055-06" xlink:href="note-0055-06a" xml:space="preserve">104.</note>
            culum quod ab illa removetur vocatur Potentiæ intenſitas.</s>
            <s xml:id="echoid-s1303" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1304" xml:space="preserve">Sunt igitur potentiarum intenſitates ut obſtacula in quæ
              <lb/>
              <note position="right" xlink:label="note-0055-07" xlink:href="note-0055-07a" xml:space="preserve">105.</note>
            illæ agunt.</s>
            <s xml:id="echoid-s1305" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1306" xml:space="preserve">Si æqualibus temporibus per ſpatia æqualia obſtacula ce-
              <lb/>
              <note position="right" xlink:label="note-0055-08" xlink:href="note-0055-08a" xml:space="preserve">106.</note>
            dunt, actiones Potentiarum ſunt ut harum intenſitates, ideſt,
              <lb/>
            ut obſtacula .</s>
            <s xml:id="echoid-s1307" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0055-09" xlink:href="note-0055-09a" xml:space="preserve">100.
                <lb/>
              103. 105.</note>
            </s>
          </p>
          <p style="it">
            <s xml:id="echoid-s1308" xml:space="preserve">Si Potentiarum intenſitates fuerint æquales, id eſt, ſi in
              <lb/>
              <note position="right" xlink:label="note-0055-10" xlink:href="note-0055-10a" xml:space="preserve">107.</note>
            obſtacula æqualia agant ; </s>
            <s xml:id="echoid-s1309" xml:space="preserve">Potentiarum actiones ſunt
              <note symbol="*" position="right" xlink:label="note-0055-11" xlink:href="note-0055-11a" xml:space="preserve">105.</note>
            ſpatia, æqualibus temporibus, ab obſtaculis percurſa .</s>
            <s xml:id="echoid-s1310" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0055-12" xlink:href="note-0055-12a" xml:space="preserve">100. 102.
                <lb/>
              103.</note>
            </s>
          </p>
          <p style="it">
            <s xml:id="echoid-s1311" xml:space="preserve">Si autem & </s>
            <s xml:id="echoid-s1312" xml:space="preserve">obſtacula & </s>
            <s xml:id="echoid-s1313" xml:space="preserve">viæ ab his æqualibus temporibus
              <lb/>
              <note position="right" xlink:label="note-0055-13" xlink:href="note-0055-13a" xml:space="preserve">108.</note>
            percurſæ differant, ſunt potentiarum actiones ut intenſitates,
              <lb/>
            aut ut obſtacula, & </s>
            <s xml:id="echoid-s1314" xml:space="preserve">ut viæ percurſæ ; </s>
            <s xml:id="echoid-s1315" xml:space="preserve">id eſt, in harum
              <note symbol="*" position="right" xlink:label="note-0055-14" xlink:href="note-0055-14a" xml:space="preserve">106. 107.</note>
            tionum ratione compoſita.</s>
            <s xml:id="echoid-s1316" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1317" xml:space="preserve">Ex. </s>
            <s xml:id="echoid-s1318" xml:space="preserve">Gr. </s>
            <s xml:id="echoid-s1319" xml:space="preserve">ſi unius potentiæ intenſitas fuerit dupla; </s>
            <s xml:id="echoid-s1320" xml:space="preserve">id eſt, ſi
              <lb/>
            obſtaculum fuerit duplum, & </s>
            <s xml:id="echoid-s1321" xml:space="preserve">per ſpatium triplum </s>
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