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

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          <p style="it">
            <s xml:id="echoid-s2524" xml:space="preserve">
              <pb o="58" file="0106" n="115" rhead="PHYSICES ELEMENTA"/>
            ſæ, & </s>
            <s xml:id="echoid-s2525" xml:space="preserve">fit ſemper ſecundum rectam lineam, qua vis illa im-
              <lb/>
            primitur.</s>
            <s xml:id="echoid-s2526" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2527" xml:space="preserve">Quando corpori moto alia ſuperadditur vis, ad illud mo-
              <lb/>
            vendum in eadem directione, motus celerior fit.</s>
            <s xml:id="echoid-s2528" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2529" xml:space="preserve">Quando nova impreſſio, motui corporis contraria eſt,
              <lb/>
            retardatur motus.</s>
            <s xml:id="echoid-s2530" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2531" xml:space="preserve">Si obliquè agat nova impreſſio, viam ſuam mutat cor-
              <lb/>
            pus.</s>
            <s xml:id="echoid-s2532" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2533" xml:space="preserve">Et in genere omnes mutationes in motu fiunt ſecundum
              <lb/>
            directiones & </s>
            <s xml:id="echoid-s2534" xml:space="preserve">pro magnitudinibus impreſſionum.</s>
            <s xml:id="echoid-s2535" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2536" xml:space="preserve">Sit Corpus in A motum per AE celeritate, quam per
              <lb/>
              <note position="left" xlink:label="note-0106-01" xlink:href="note-0106-01a" xml:space="preserve">TAB. X.
                <lb/>
              fig. 6.</note>
            hanc ipſam deſignamus lineam, agat in A impreſſio, juxta
              <lb/>
            directionem
              <emph style="sc">A</emph>
            D, quæ corpori (ut diximus) agitato juxta
              <lb/>
            hanc directionem communicat celeritatem
              <emph style="sc">A</emph>
            D. </s>
            <s xml:id="echoid-s2537" xml:space="preserve">Corpus
              <lb/>
            duobus nunc agitatur motibus, quibus lineæ
              <emph style="sc">A</emph>
            E & </s>
            <s xml:id="echoid-s2538" xml:space="preserve">
              <emph style="sc">A</emph>
            D eo-
              <lb/>
            dem tempore percurruntur; </s>
            <s xml:id="echoid-s2539" xml:space="preserve">hi duo motus ſeſe mutuo non
              <lb/>
            turbant, ſed motu ex ambobus compoſito, ſecundum hanc
              <lb/>
            legem, quæ ex Phænomenis fuit deducta, corpus fertur.</s>
            <s xml:id="echoid-s2540" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2541" xml:space="preserve">Ut motum hunc compoſitum determinemus, concipiamus
              <lb/>
            lineam
              <emph style="sc">A</emph>
            D, dum in hac corpus movetur, motu parallelo
              <lb/>
            moveri celeritate, qua corpus fertur per
              <emph style="sc">A</emph>
            E quam in hoc mo-
              <lb/>
            tu punctum A percurrit. </s>
            <s xml:id="echoid-s2542" xml:space="preserve">Translata jam ſit linea in ad, cor-
              <lb/>
            pus erit in b, ita ut
              <emph style="sc">A</emph>
            E ſit ad
              <emph style="sc">A</emph>
            D, ut A a ad ab; </s>
            <s xml:id="echoid-s2543" xml:space="preserve">quia & </s>
            <s xml:id="echoid-s2544" xml:space="preserve">
              <lb/>
            motum lineæ, & </s>
            <s xml:id="echoid-s2545" xml:space="preserve">corporis, in hac æquabilem ponimus. </s>
            <s xml:id="echoid-s2546" xml:space="preserve">Ab-
              <lb/>
            ſoluto parallelogrammo
              <emph style="sc">A</emph>
              <emph style="sc">DBe</emph>
            , & </s>
            <s xml:id="echoid-s2547" xml:space="preserve">ductâ diagonali
              <emph style="sc">A</emph>
            B,
              <lb/>
            clare patet punctum b in hac diagonali dari,& </s>
            <s xml:id="echoid-s2548" xml:space="preserve">corpus dari
              <lb/>
            in B, ubi linea
              <emph style="sc">A</emph>
            D motu ſuo pervenit ad
              <emph style="sc">E</emph>
            B: </s>
            <s xml:id="echoid-s2549" xml:space="preserve">motu ergo
              <lb/>
              <note position="left" xlink:label="note-0106-02" xlink:href="note-0106-02a" xml:space="preserve">246.</note>
            compoſito corpus percurrit diagonalem parallelogrammi for-
              <lb/>
            mati lineis, ſitu directiones, & </s>
            <s xml:id="echoid-s2550" xml:space="preserve">longitudinibus celeritates mo-
              <lb/>
            tuum deſignantibus; </s>
            <s xml:id="echoid-s2551" xml:space="preserve">diagonalis autem celeritatem motus com-
              <lb/>
            poſiti exprimit.</s>
            <s xml:id="echoid-s2552" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2553" xml:space="preserve">In ſequentibus videbimus & </s>
            <s xml:id="echoid-s2554" xml:space="preserve">legem reſpectu vis inſitæ lo-
              <lb/>
            cum habere, id eſt, vim inſitam corpori, per diagonalem
              <lb/>
            AB moto, æqualem eſſe viribus primæ per
              <emph style="sc">A</emph>
            E, & </s>
            <s xml:id="echoid-s2555" xml:space="preserve">ſecun-
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            dæ quæ corpori juxta
              <emph style="sc">A</emph>
            D communicatur. </s>
            <s xml:id="echoid-s2556" xml:space="preserve">Si nempe vis
              <lb/>
            ſecunda non pro parte cum prima contrarie agat, </s>
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