Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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              <pb o="146" file="0222" n="241" rhead="PHYSICES ELEMENTA"/>
            ctis velocitatibus quibus in nave ad ſe invicem acceſſere;
              <lb/>
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            <s xml:id="echoid-s6089" xml:space="preserve">ſi fuerint elaſtica, in nave a ſe mutuo recedunt iiſdem hiſce
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            velocitatibus quibus in nave ad ſe mutuo acceſſere , id
              <note symbol="*" position="left" xlink:label="note-0222-01" xlink:href="note-0222-01a" xml:space="preserve">564.</note>
            ſecunda in velocitatibus datur mutatio æqualis primæ, quare
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            utrumque corpus duplam patitur in velocitate mutationem,
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            & </s>
            <s xml:id="echoid-s6090" xml:space="preserve">velocitas reſpectiva poſt ictum æqualis eſt velocitati re-
              <lb/>
              <note position="left" xlink:label="note-0222-02" xlink:href="note-0222-02a" xml:space="preserve">566.</note>
            ſpectivæ ante ictum. </s>
            <s xml:id="echoid-s6091" xml:space="preserve">In fig, 1. </s>
            <s xml:id="echoid-s6092" xml:space="preserve">corpus motum velocitate
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            BN, in nave ante ictum habebat velocitatem IN, hanc
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            amiſit, & </s>
            <s xml:id="echoid-s6093" xml:space="preserve">huic æqualem in contrariam partem acquiſivit
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            IG, habet ideo velocitatem BG. </s>
            <s xml:id="echoid-s6094" xml:space="preserve">Corpus aliud cujus
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            velocitas erat BE in nave ante ictum redibat id eſt lentius
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            ipſa nave movebatur quantitate IE poſt ictum æquali velo-
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            citate in contrariam partem id eſt celerius ipſâ nave fer-
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            tur velocitaſque eſt BP, poſitis IE & </s>
            <s xml:id="echoid-s6095" xml:space="preserve">IP æquali-
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            bus.</s>
            <s xml:id="echoid-s6096" xml:space="preserve"/>
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            <s xml:id="echoid-s6097" xml:space="preserve">Eodem modo in fig. </s>
            <s xml:id="echoid-s6098" xml:space="preserve">2. </s>
            <s xml:id="echoid-s6099" xml:space="preserve">Corpus quod habebat velocitatem
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            BN, amiſit velocitatem IN, quam in nave habebat, & </s>
            <s xml:id="echoid-s6100" xml:space="preserve">velocitate,
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            huic æquali, IG nunc in nave redit, id eſt velocitate BG poſt
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            ictum fertur; </s>
            <s xml:id="echoid-s6101" xml:space="preserve">corpus aliud cujus velocitas erat BE, in na-
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            ve redibat velocitate IE nunc mutato motu velocitate huic
              <lb/>
            æquali IP in nave a pupiad proram fertur, & </s>
            <s xml:id="echoid-s6102" xml:space="preserve">ipſius velocitas
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            abſoluta eſt BP.</s>
            <s xml:id="echoid-s6103" xml:space="preserve"/>
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            <s xml:id="echoid-s6104" xml:space="preserve">Ex hiſce deducimus regulas duas quibus corporum ela-
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            ſticorum velocitates poſt ictum determinamus.</s>
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        <div xml:id="echoid-div865" type="section" level="1" n="219">
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            <emph style="sc">Regula</emph>
          I.</head>
          <p style="it">
            <s xml:id="echoid-s6106" xml:space="preserve">Si corporis velocitas, poſitis corporibus non elaſticis in ſe
              <lb/>
              <note position="left" xlink:label="note-0222-03" xlink:href="note-0222-03a" xml:space="preserve">567.</note>
            mutuo impingentibus, ictu augeatur, augmentum duplica-
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            tum priori velocitati eſt addendum, ut celeritas poſt impa-
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            ctum determinetur, ſi corpora fuerint elaſtica.</s>
            <s xml:id="echoid-s6107" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div867" type="section" level="1" n="220">
          <head xml:id="echoid-head312" xml:space="preserve">
            <emph style="sc">Regula</emph>
          II.</head>
          <p style="it">
            <s xml:id="echoid-s6108" xml:space="preserve">Duobus corporibus non elaſticis in ſe mutuo impingenti-
              <lb/>
              <note position="left" xlink:label="note-0222-04" xlink:href="note-0222-04a" xml:space="preserve">568.</note>
            bus, ſi corpus ex velocitate amittat, pars amiſſa duplican-
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            da eſt, quando elaſtica ſunt corpora; </s>
            <s xml:id="echoid-s6109" xml:space="preserve">& </s>
            <s xml:id="echoid-s6110" xml:space="preserve">a priori velocitate
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            ſubtrahenda, ad determinandam celeritatem poſt percuſſio-
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            nem.</s>
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          </p>
          <p>
            <s xml:id="echoid-s6112" xml:space="preserve">Circa ſecundam regulam obſervandum, corpus quod
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              <note position="left" xlink:label="note-0222-05" xlink:href="note-0222-05a" xml:space="preserve">569.</note>
            </s>
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