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

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        <div xml:id="echoid-div413" type="section" level="1" n="143">
          <p>
            <s xml:id="echoid-s2664" xml:space="preserve">
              <pb o="62" file="0110" n="119" rhead="PHYSICES ELEMENTA"/>
            ideo adſcendit per tempus, in quo corpus cadendo poteſt ac-
              <lb/>
            quirere velocitatem, æqualem velocitati cum qua in altum
              <lb/>
            projicitur.</s>
            <s xml:id="echoid-s2665" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2666" xml:space="preserve">Si
              <emph style="sc">Ba</emph>
            repræſentet tempus, in quo corpus adſcendit, & </s>
            <s xml:id="echoid-s2667" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0110-01" xlink:href="note-0110-01a" xml:space="preserve">260.</note>
            BE celeritatem, cum qua in altum projicitur; </s>
            <s xml:id="echoid-s2668" xml:space="preserve">adſcenſus
              <lb/>
            ceſſat, ubi celeritas corporis nulla eſt, ideo lineæ paralle-
              <lb/>
            læ ad baſin in triangulo
              <emph style="sc">A</emph>
            BE repræſentant celeritates in
              <lb/>
            momentis temporis, quibus reſpondent , & </s>
            <s xml:id="echoid-s2669" xml:space="preserve">area
              <note symbol="*" position="left" xlink:label="note-0110-02" xlink:href="note-0110-02a" xml:space="preserve">258.</note>
            li
              <emph style="sc">A</emph>
            BE ſpatium adſcendendo percurſum deſignat, ut ex de-
              <lb/>
            monſtratione, circa corpora cadentia data poteſt deduci.</s>
            <s xml:id="echoid-s2670" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0110-03" xlink:href="note-0110-03a" xml:space="preserve">254.</note>
            Cum autem BE ſit velocitas, quam corpus cadendo per
              <lb/>
            tempus
              <emph style="sc">A</emph>
            B poteſtacquirere, triangulum hoc
              <emph style="sc">A</emph>
            BE idem
              <note symbol="*" position="left" xlink:label="note-0110-04" xlink:href="note-0110-04a" xml:space="preserve">259.</note>
            quod ſpatium cadendo percurſum repræſentat, dum cor-
              <lb/>
            pus inter cadendum hanc ipſam celeritatem BE acquirit .</s>
            <s xml:id="echoid-s2671" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0110-05" xlink:href="note-0110-05a" xml:space="preserve">254.</note>
            Unde ſequitur, corpus in altum projectum adſcendere ad
              <lb/>
              <note position="left" xlink:label="note-0110-06" xlink:href="note-0110-06a" xml:space="preserve">261.</note>
            eandem altitudinem, à qua cadendo poteſt acquirere veloci-
              <lb/>
            tatem, cum qua projicitur. </s>
            <s xml:id="echoid-s2672" xml:space="preserve">Et altitudines, ad quas corpo-
              <lb/>
              <note position="left" xlink:label="note-0110-07" xlink:href="note-0110-07a" xml:space="preserve">262.</note>
            ra cum diverſis velocitatibus projecta poſſunt adſcendere, eſſe
              <lb/>
            inter ſe ut quadrata illarum velocitatum .</s>
            <s xml:id="echoid-s2673" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0110-08" xlink:href="note-0110-08a" xml:space="preserve">255.</note>
            </s>
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        <div xml:id="echoid-div423" type="section" level="1" n="144">
          <head xml:id="echoid-head207" xml:space="preserve">CAPUT XVIII.</head>
          <head xml:id="echoid-head208" style="it" xml:space="preserve">De deſcenſu Gravium ſuper plano inclinato.</head>
          <p>
            <s xml:id="echoid-s2674" xml:space="preserve">Vis, qua corpus ſuper plano inclinato deſcendere cona-
              <lb/>
            tur, ex gravitate oritur, & </s>
            <s xml:id="echoid-s2675" xml:space="preserve">ejuſdem eſt naturæ cum
              <lb/>
            gravitate; </s>
            <s xml:id="echoid-s2676" xml:space="preserve">ideo vis illa, omnibus momentis, & </s>
            <s xml:id="echoid-s2677" xml:space="preserve">in omnibus
              <lb/>
            plani partibus, æqualis eſt , & </s>
            <s xml:id="echoid-s2678" xml:space="preserve">agit in corpus motum
              <note symbol="*" position="left" xlink:label="note-0110-09" xlink:href="note-0110-09a" xml:space="preserve">116.</note>
            dem modo ac in corpus quieſcens . </s>
            <s xml:id="echoid-s2679" xml:space="preserve">eâdem de cauſa
              <note symbol="*" position="left" xlink:label="note-0110-10" xlink:href="note-0110-10a" xml:space="preserve">252.</note>
            corporis, ſuper plano libere devolventis, ejuſdem eſt natur
              <lb/>
              <note position="left" xlink:label="note-0110-11" xlink:href="note-0110-11a" xml:space="preserve">263.</note>
            cum motu corporis libere cadentis; </s>
            <s xml:id="echoid-s2680" xml:space="preserve">& </s>
            <s xml:id="echoid-s2681" xml:space="preserve">quæ de hoc dicta
              <lb/>
            ſunt, de illo etiam affirmari poſſunt. </s>
            <s xml:id="echoid-s2682" xml:space="preserve">Eſt igitur motus æ-
              <lb/>
            quabiliter acceleratus in temporibus æqualibus . </s>
            <s xml:id="echoid-s2683" xml:space="preserve">& </s>
            <s xml:id="echoid-s2684" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0110-12" xlink:href="note-0110-12a" xml:space="preserve">251.</note>
            ſitiones num. </s>
            <s xml:id="echoid-s2685" xml:space="preserve">252. </s>
            <s xml:id="echoid-s2686" xml:space="preserve">253, 255. </s>
            <s xml:id="echoid-s2687" xml:space="preserve">256. </s>
            <s xml:id="echoid-s2688" xml:space="preserve">257. </s>
            <s xml:id="echoid-s2689" xml:space="preserve">258. </s>
            <s xml:id="echoid-s2690" xml:space="preserve">259. </s>
            <s xml:id="echoid-s2691" xml:space="preserve">261. </s>
            <s xml:id="echoid-s2692" xml:space="preserve">262. </s>
            <s xml:id="echoid-s2693" xml:space="preserve">ſi
              <lb/>
              <note position="left" xlink:label="note-0110-13" xlink:href="note-0110-13a" xml:space="preserve">264.</note>
            pro deſcenſu, & </s>
            <s xml:id="echoid-s2694" xml:space="preserve">adſcenſu directo, motus ſuper plano in-
              <lb/>
            clinato ponatur, hìc etiam locum habent.</s>
            <s xml:id="echoid-s2695" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2696" xml:space="preserve">Celeritates, quibus corpora duo deſcendunt, quorum u-
              <lb/>
              <note position="left" xlink:label="note-0110-14" xlink:href="note-0110-14a" xml:space="preserve">265.</note>
            num libere cadit, & </s>
            <s xml:id="echoid-s2697" xml:space="preserve">alterum ſuper plano inclinato </s>
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