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

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              <pb o="57" file="0089" n="93" rhead="HOROLOG. OSCILLATOR."/>
            quadratum A B ad quadratum C D. </s>
            <s xml:id="echoid-s1217" xml:space="preserve">quare neceſſe eſt ut
              <lb/>
              <note position="right" xlink:label="note-0089-01" xlink:href="note-0089-01a" xml:space="preserve">
                <emph style="sc">De de-</emph>
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                <emph style="sc">SCENSU</emph>
                <lb/>
                <emph style="sc">@RAVIUM</emph>
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            eandem habeat. </s>
            <s xml:id="echoid-s1218" xml:space="preserve">Porro cum celeritates in fine temporum A B,
              <lb/>
            C D acquiſitæ ſint inter ſe ſicut ipſamet tempora; </s>
            <s xml:id="echoid-s1219" xml:space="preserve">apparet
              <lb/>
            rationem ſpatiorum E ad F eandem quoque eſſe quæ qua-
              <lb/>
            dratorum temporum A B, C D, quibus transmiſſa ſunt.
              <lb/>
            </s>
            <s xml:id="echoid-s1220" xml:space="preserve">Itaque conſtat propoſitum.</s>
            <s xml:id="echoid-s1221" xml:space="preserve"/>
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          <head xml:id="echoid-head49" xml:space="preserve">PROPOSITIO IV.</head>
          <p style="it">
            <s xml:id="echoid-s1222" xml:space="preserve">SI grave celeritate ea quam in fine deſcenſus ac-
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            quiſivit ſurſum tendere cœperit, fiet ut paribus
              <lb/>
            temporis partibus, ſpatia quæ prius ſurſum, ea-
              <lb/>
            dem deorſum transeat, adeoque ad eandem unde
              <lb/>
            deſcenderat altitudinem aſcendat. </s>
            <s xml:id="echoid-s1223" xml:space="preserve">Item ut æquali-
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            bus temporis partibus æqualia amittat celeritatis
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            momenta.</s>
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          <note position="right" xml:space="preserve">TAB. V.
            <lb/>
          Fig. 1.</note>
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            <s xml:id="echoid-s1225" xml:space="preserve">Sunto enim ut in propoſitione 2, ſpatia quotlibet, æqua-
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            libus temporis partibus cadendo è quiete peracta, quorum
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            primum A B; </s>
            <s xml:id="echoid-s1226" xml:space="preserve">ſecundum compoſitum ex B D, quod celeri-
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            tate æquabili acquiſita per A B tranſeundum erat, & </s>
            <s xml:id="echoid-s1227" xml:space="preserve">ex D E
              <lb/>
            ipſi A B æquali; </s>
            <s xml:id="echoid-s1228" xml:space="preserve">tertium compoſitum, ex E F, duplo
              <lb/>
            ipſius B D, & </s>
            <s xml:id="echoid-s1229" xml:space="preserve">ex F G, eidem A B æquali; </s>
            <s xml:id="echoid-s1230" xml:space="preserve">quartum com-
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            poſitum ex G H, triplo ipſius B D, & </s>
            <s xml:id="echoid-s1231" xml:space="preserve">ex H K ipſi itidem
              <lb/>
            A B æquali, atque eadem ratione porro creſcentia, ſi plu-
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            ra fuerint. </s>
            <s xml:id="echoid-s1232" xml:space="preserve">Dico totidem æqualibus temporibus eadem ſpatia
              <lb/>
            K G, G E, E B, B A, ſingula ſingulis peragenda eſſe à
              <lb/>
            gravi ſurſum tendente, atque incipiente cum celeritate in
              <lb/>
            fine deſcenſus K acquiſita.</s>
            <s xml:id="echoid-s1233" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1234" xml:space="preserve">Brevitatis autem gratia celeritas quæque deſignetur de-
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            inceps longitudine ſpatii quod grave motu æquabili, cum
              <lb/>
            celeritate illa, atque temporis parte una, quales in deſcen-
              <lb/>
            ſu conſideravimus, tranſmiſſurum eſſet.</s>
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          </p>
          <p>
            <s xml:id="echoid-s1236" xml:space="preserve">Itaque ex oſtenſis dicta propoſitione, cum in K grave
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            pervenerit, habet celeritatem G H auctam celeritate B </s>
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