Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica

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        <div xml:id="echoid-div49" type="section" level="1" n="23">
          <pb o="52" file="0082" n="85" rhead="CHRISTIANI HUGENII"/>
          <p>
            <s xml:id="echoid-s1110" xml:space="preserve">Ponatur grave C è quiete dimiſſum, certo tempore,
              <lb/>
              <note position="left" xlink:label="note-0082-01" xlink:href="note-0082-01a" xml:space="preserve">
                <emph style="sc">De de-</emph>
                <lb/>
                <emph style="sc">SCENSU</emph>
                <lb/>
                <emph style="sc">GRAVIUM</emph>
              .
                <lb/>
              TAB. IV.
                <lb/>
              Fig. 3.</note>
            quod dicatur F, vi gravitatis tranſire ſpatium C B. </s>
            <s xml:id="echoid-s1111" xml:space="preserve">Ac
              <lb/>
            rurſus intelligatur idem grave accepiſſe alicunde motum quo,
              <lb/>
            ſi nulla eſſet gravitas, transiret pari tempore F motu æqua-
              <lb/>
            bili lineam rectam C D. </s>
            <s xml:id="echoid-s1112" xml:space="preserve">Accedente ergo vi gravitatis non
              <lb/>
            perveniet grave ex C in D, dicto tempore F, ſed ad pun-
              <lb/>
            ctum aliquod E, recta ſub D ſitum, ita ut ſpatium D E
              <lb/>
            ſemper æquetur ſpatio C B, ita enim, & </s>
            <s xml:id="echoid-s1113" xml:space="preserve">motus æquabilis,
              <lb/>
            & </s>
            <s xml:id="echoid-s1114" xml:space="preserve">is qui à gravitate oritur ſuas partes peragent, altero alte-
              <lb/>
            rum non impediente. </s>
            <s xml:id="echoid-s1115" xml:space="preserve">Quamnam vero lineam, compoſito il-
              <lb/>
            lo motu, grave percurrat, cum motus æquabilis non recta
              <lb/>
            ſurſum aut deorſum ſed in obliquum tendit, è ſequentibus
              <lb/>
            definiri poterit. </s>
            <s xml:id="echoid-s1116" xml:space="preserve">Cum vero deorſum in perpendiculari con-
              <lb/>
            tingit motus æquabilis C D, apparet lineam C D, acce-
              <lb/>
            dente motu ex gravitate, augeri recta D E. </s>
            <s xml:id="echoid-s1117" xml:space="preserve">Item, cum ſur-
              <lb/>
            ſum tendit motus æquabilis C D, ipſam C D diminui recta
              <lb/>
            D E, ut nempe, peracto tempore F, grave inveniatur
              <lb/>
            ſemper in puncto E. </s>
            <s xml:id="echoid-s1118" xml:space="preserve">Quod ſi, utroque hoc caſu, ſeorſim,
              <lb/>
            uti diximus, duos motus conſideremus, alterumque ab al-
              <lb/>
            tero nullo modo impediri cogitemus, hinc jam acceleratio-
              <lb/>
            nis gravium cadentium cauſam legesque reperire licebit. </s>
            <s xml:id="echoid-s1119" xml:space="preserve">Et
              <lb/>
            primum quidem duo iſta ſimul oſtendemus.</s>
            <s xml:id="echoid-s1120" xml:space="preserve"/>
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        <div xml:id="echoid-div51" type="section" level="1" n="24">
          <head xml:id="echoid-head46" xml:space="preserve">PROPOSITIO I.</head>
          <p style="it">
            <s xml:id="echoid-s1121" xml:space="preserve">ÆQualibus temporibus æquales celeritatis par-
              <lb/>
            tes gravi cadenti accreſcere, & </s>
            <s xml:id="echoid-s1122" xml:space="preserve">ſpatia æqua-
              <lb/>
            libus temporibus ab initio deſcenſus emenſa, augeri
              <lb/>
            continue æquali exceſſu.</s>
            <s xml:id="echoid-s1123" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1124" xml:space="preserve">Ponatur grave aliquod, ex quiete in A, primo tempore
              <lb/>
              <note position="left" xlink:label="note-0082-02" xlink:href="note-0082-02a" xml:space="preserve">TAB. V.
                <lb/>
              Fig. 1.</note>
            lapſum eſſe per ſpatium A B, atque ubi pervenit in B, ac-
              <lb/>
            quiſiviſſe celeritatem qua deinceps, tempore ſecundo, mo-
              <lb/>
            tu æquabili, percurrere poſſet ſpatium quoddam B D. </s>
            <s xml:id="echoid-s1125" xml:space="preserve">Sci-
              <lb/>
            mus ergo ſpatium ſecundo tempore peragendum majus fore
              <lb/>
            ſpatio B D, quia vel ceſſante in B omni gravitatis </s>
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