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

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            <s xml:id="echoid-s10012" xml:space="preserve">
              <pb o="277" file="0377" n="412" rhead="MATHEMATICA. LIB. II. CAP. XII."/>
            terminatur velocitas, quæ corpori quieſcenti a fluido com-
              <lb/>
            municatur, quàm retardatio quam corpus patitur; </s>
            <s xml:id="echoid-s10013" xml:space="preserve">præſtabit
              <lb/>
            ergo velocitatem hanc conſiderare, quæ ab ipſa retardatione,
              <lb/>
            corporis agitati per fluidum quieſcens, non differt .</s>
            <s xml:id="echoid-s10014" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">944.</note>
          <p>
            <s xml:id="echoid-s10015" xml:space="preserve">Preſſio, quam in corpus quieſcens exerit fluidum, im-
              <lb/>
              <note position="right" xlink:label="note-0377-02" xlink:href="note-0377-02a" xml:space="preserve">953.</note>
            mediate corpus poteſt transferre, ſequitur igitur velocitatem
              <lb/>
            infinite exiguam, momento infinite exiguo conſtanti, com-
              <lb/>
            municari, proportionalem ipſi ſpatio, per quod corpus hoc
              <lb/>
            quieſcens actione fluidi immediate transfertur, quod ſpa-
              <lb/>
            tium ipſi preſſioni proportionale eſt , quæ ipſa
              <note symbol="*" position="right" xlink:label="note-0377-03" xlink:href="note-0377-03a" xml:space="preserve">107.</note>
            ſequitur quadrati velocitatis .</s>
            <s xml:id="echoid-s10016" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">500.</note>
          <p style="it">
            <s xml:id="echoid-s10017" xml:space="preserve">Diminutiones idcirco velocitatis, quas corpus in fluido mo-
              <lb/>
              <note position="right" xlink:label="note-0377-05" xlink:href="note-0377-05a" xml:space="preserve">954.</note>
            tum, momentis infinite exiguis, æqualibus, ex reſiſtentiâ
              <lb/>
            ex ſecundâ cauſâ, patitur, ſunt ut quadrata velocitatum
              <lb/>
            ipſius corporis.</s>
            <s xml:id="echoid-s10018" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s10019" xml:space="preserve">Ex qua demonſtratione ſequitur nunquam corpus ex ſolâ
              <lb/>
              <note position="right" xlink:label="note-0377-06" xlink:href="note-0377-06a" xml:space="preserve">955.</note>
            reſiſtentiâ ex ſecundâ cauſâ integram poſſe amittere veloci-
              <lb/>
            tatem.</s>
            <s xml:id="echoid-s10020" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10021" xml:space="preserve">Patet etiam in omni caſu retardationem, ex bacreſiſten-
              <lb/>
              <note position="right" xlink:label="note-0377-07" xlink:href="note-0377-07a" xml:space="preserve">956.</note>
            tia, eandem cum ipſa rationem ſequi, quamdiu corpus mo-
              <lb/>
            tum eandem materiæ quantitatem continet, ubi autem hæc
              <lb/>
            eſt diverſa, retardatio eſt cæteris paribus, inverſe ut hæc
              <lb/>
              <note position="right" xlink:label="note-0377-08" xlink:href="note-0377-08a" xml:space="preserve">957.</note>
            materiæ quantitas . </s>
            <s xml:id="echoid-s10022" xml:space="preserve">Ex quibus facile videmus,
              <note symbol="*" position="right" xlink:label="note-0377-09" xlink:href="note-0377-09a" xml:space="preserve">112.</note>
            poſitis demonſtratis in capite præcedenti retardationes pro
              <lb/>
            variis corporibus, & </s>
            <s xml:id="echoid-s10023" xml:space="preserve">variis fluidis, inter ſe conferri poſ-
              <lb/>
            ſint.</s>
            <s xml:id="echoid-s10024" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10025" xml:space="preserve">Si de ſphæris, cylindris, aut conis ſimilibus, Ex. </s>
            <s xml:id="echoid-s10026" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s10027" xml:space="preserve">a-
              <lb/>
              <note position="right" xlink:label="note-0377-10" xlink:href="note-0377-10a" xml:space="preserve">958.</note>
            gatur, poſitis cylindris, & </s>
            <s xml:id="echoid-s10028" xml:space="preserve">conis, juxta axium directiones
              <lb/>
            motis, erunt retardationes ex ſecunda cauſa directè ut qua-
              <lb/>
              <note symbol="*" position="right" xlink:label="note-0377-11" xlink:href="note-0377-11a" xml:space="preserve">956. 909.</note>
            drata diametrorum , ut quadrata velocitatum , ut
              <note symbol="*" position="right" xlink:label="note-0377-12" xlink:href="note-0377-12a" xml:space="preserve">954.</note>
            tates fluidorum ; </s>
            <s xml:id="echoid-s10029" xml:space="preserve">& </s>
            <s xml:id="echoid-s10030" xml:space="preserve">inverſe ut denſitates corporum , & </s>
            <s xml:id="echoid-s10031" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0377-13" xlink:href="note-0377-13a" xml:space="preserve">956 926.</note>
              <note symbol="*" position="right" xlink:label="note-0377-14" xlink:href="note-0377-14a" xml:space="preserve">957.</note>
            bi diametrorum . </s>
            <s xml:id="echoid-s10032" xml:space="preserve">ſed ratio directa quadratorum, & </s>
            <s xml:id="echoid-s10033" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0377-15" xlink:href="note-0377-15a" xml:space="preserve">957.</note>
            ſa cuborum diametrorum, ad inverſam ipſarum diametro-
              <lb/>
            rum reducitur; </s>
            <s xml:id="echoid-s10034" xml:space="preserve">Idcirco, junctis rationibus ultimâ & </s>
            <s xml:id="echoid-s10035" xml:space="preserve">primâ,
              <lb/>
            ſunt retardationes inverſe ut diametri.</s>
            <s xml:id="echoid-s10036" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10037" xml:space="preserve">Numeri in harum rationum ratione compoſita detegun-
              <lb/>
              <note position="right" xlink:label="note-0377-16" xlink:href="note-0377-16a" xml:space="preserve">959.</note>
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