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

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              <pb o="179" file="0255" n="278" rhead="MATHEMATICA. LIB. I. CAP XXVII."/>
            tionalibus, ſi per KN, velocitate KN moveatur , & </s>
            <s xml:id="echoid-s7033" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0255-01" xlink:href="note-0255-01a" xml:space="preserve">246.</note>
            tatio in velocitate corporis quieſcentis C, ex actione cor-
              <lb/>
            poris
              <emph style="sc">A</emph>
            erit KO; </s>
            <s xml:id="echoid-s7034" xml:space="preserve">ergo KO ad ID, ſi N ritè ſit determi-
              <lb/>
            natum, ut maſſa
              <emph style="sc">A</emph>
            ad maſſam C , id eſt ut KH ad
              <note symbol="*" position="right" xlink:label="note-0255-02" xlink:href="note-0255-02a" xml:space="preserve">6271.</note>
            quod tantum obtinet ſi punctum N detur in FH; </s>
            <s xml:id="echoid-s7035" xml:space="preserve">produ-
              <lb/>
            cta enim PN donec ſecet FD in Q, habemus PN ad NQ,
              <lb/>
            ut KH ad HD, ſed PN æqualis eſt KO, & </s>
            <s xml:id="echoid-s7036" xml:space="preserve">NQ ipſi ID .</s>
            <s xml:id="echoid-s7037" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0255-03" xlink:href="note-0255-03a" xml:space="preserve">34. El. 1.</note>
            Eodem modo demonſtramus quæſitum punctum N dari in
              <lb/>
            linea GL; </s>
            <s xml:id="echoid-s7038" xml:space="preserve">ideoque in interſectione hujus lineæ cum linea
              <lb/>
            FH. </s>
            <s xml:id="echoid-s7039" xml:space="preserve">Quod demonſtrandum erat.</s>
            <s xml:id="echoid-s7040" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7041" xml:space="preserve">Si corpora ſint elaſtica, mutationes velocitatum duplæ
              <lb/>
              <note position="right" xlink:label="note-0255-04" xlink:href="note-0255-04a" xml:space="preserve">636.</note>
            ſunt ; </s>
            <s xml:id="echoid-s7042" xml:space="preserve">ergo ſi producatur & </s>
            <s xml:id="echoid-s7043" xml:space="preserve">duplicetur KN,
              <note symbol="*" position="right" xlink:label="note-0255-05" xlink:href="note-0255-05a" xml:space="preserve">629.</note>
            motum corporis C per K n, velocitate K n; </s>
            <s xml:id="echoid-s7044" xml:space="preserve">& </s>
            <s xml:id="echoid-s7045" xml:space="preserve">ſumtis, I i
              <lb/>
            ipſi l D, & </s>
            <s xml:id="echoid-s7046" xml:space="preserve">M m lineæ ME, æqualibus, habebimus K i & </s>
            <s xml:id="echoid-s7047" xml:space="preserve">
              <lb/>
            K m corporum A & </s>
            <s xml:id="echoid-s7048" xml:space="preserve">B velocitates. </s>
            <s xml:id="echoid-s7049" xml:space="preserve">In hoc caſu ſummæ viri-
              <lb/>
              <note position="right" xlink:label="note-0255-06" xlink:href="note-0255-06a" xml:space="preserve">637.</note>
            um ante & </s>
            <s xml:id="echoid-s7050" xml:space="preserve">poſt ictum ſunt æquales ; </s>
            <s xml:id="echoid-s7051" xml:space="preserve">quod etiam ex hac
              <note symbol="*" position="right" xlink:label="note-0255-07" xlink:href="note-0255-07a" xml:space="preserve">558.</note>
            locitatum determinatione ſequi in Scholio 3. </s>
            <s xml:id="echoid-s7052" xml:space="preserve">demonſtrabi-
              <lb/>
            mus.</s>
            <s xml:id="echoid-s7053" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7054" xml:space="preserve">Quando angulus EKG eſt obtuſus cum corporum A & </s>
            <s xml:id="echoid-s7055" xml:space="preserve">
              <lb/>
              <note position="right" xlink:label="note-0255-08" xlink:href="note-0255-08a" xml:space="preserve">638.</note>
            B motus pro parte contrarii ſint & </s>
            <s xml:id="echoid-s7056" xml:space="preserve">hîc referri debent quæ
              <lb/>
            in n. </s>
            <s xml:id="echoid-s7057" xml:space="preserve">630. </s>
            <s xml:id="echoid-s7058" xml:space="preserve">notata fuere.</s>
            <s xml:id="echoid-s7059" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7060" xml:space="preserve">Difficile admodum eſt demonſtrata hæc experimentis con-
              <lb/>
              <note position="right" xlink:label="note-0255-09" xlink:href="note-0255-09a" xml:space="preserve">639.</note>
            firmare. </s>
            <s xml:id="echoid-s7061" xml:space="preserve">Experimenta circa corpora non elaſtica inſtitui non
              <lb/>
            poſſunt, quia globi ex argillâ ſi omni elaſterio deſtituantur, quod
              <lb/>
            in experimentis deſideratur, poſtictum cohærent inter ſe; </s>
            <s xml:id="echoid-s7062" xml:space="preserve">& </s>
            <s xml:id="echoid-s7063" xml:space="preserve">
              <lb/>
            præterea quod etiam in corporibus elaſticis locum habet
              <lb/>
            nunquam certi ſumus an exactiſſimè eodem momento ambo
              <lb/>
            corpora incurrant, de quo, ubi agitur de deferentiâ mini-
              <lb/>
            mâ, niſi ex viâ quam ſequitur corpus C judicium ferre non
              <lb/>
            poſſumus, quæ ergo experimento determinari nequit. </s>
            <s xml:id="echoid-s7064" xml:space="preserve">In eo
              <lb/>
            ſolo caſu in quo corpora A & </s>
            <s xml:id="echoid-s7065" xml:space="preserve">B ſunt æqualia, & </s>
            <s xml:id="echoid-s7066" xml:space="preserve">æqualibus
              <lb/>
            velocitatibus mota, primo intuitu patet corpora hæc eodem
              <lb/>
            momento in C impegiſſe, ſi hujus via angulum DKE in duas
              <lb/>
            partes æquales dividat: </s>
            <s xml:id="echoid-s7067" xml:space="preserve">de hoc caſu ſequens inſtitui poteſt
              <lb/>
            experimentum.</s>
            <s xml:id="echoid-s7068" xml:space="preserve"/>
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