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

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        <div xml:id="echoid-div69" type="section" level="1" n="29">
          <pb o="63" file="0095" n="99" rhead="HOROLOG. OSCILLATOR."/>
          <p>
            <s xml:id="echoid-s1342" xml:space="preserve">Elevationem plani vocamus altitudinem ejus ſecundum
              <lb/>
              <note position="right" xlink:label="note-0095-01" xlink:href="note-0095-01a" xml:space="preserve">
                <emph style="sc">De de-</emph>
                <lb/>
                <emph style="sc">SCENSU</emph>
                <lb/>
                <emph style="sc">GRAVIUM</emph>
              .</note>
            perpendiculum.
              <lb/>
            </s>
            <s xml:id="echoid-s1343" xml:space="preserve"> Fig. 4.
              <note symbol="*" position="right" xlink:label="note-0095-03" xlink:href="note-0095-03a" xml:space="preserve">Prop. 4.
                <lb/>
              huj.</note>
            ſit aſcendere per totam B C. Ideoque cadens ex F in B, ſi continuet porro motum per B C; quod repercuſſu ad ſu- perficiem obliquam fieri poteſt; aſcendet usque in C, hoc eſt, altius quam unde decidit, quod eſt abſurdum.</s>
          </p>
          <p>
            <s xml:id="echoid-s1344" xml:space="preserve">Eodem modo oſtendetur neque per planum A B deciden-
              <lb/>
            ti minorem velocitatem acquiri quam per C B. </s>
            <s xml:id="echoid-s1345" xml:space="preserve">Ergo per
              <lb/>
            utraque plana eadem velocitas acquiritur, quod erat demon-
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            ſtrandum.</s>
            <s xml:id="echoid-s1346" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1347" xml:space="preserve">Quod ſi vero, pro plano alterutro, ſumatur perpendicu-
              <lb/>
            lum ipſum planorum elevationi æquale, per quod decidere
              <lb/>
            mobile ponatur, ſic quoque eandem quam per plana incli-
              <lb/>
            nata velocitatem ei acquiri conſtat; </s>
            <s xml:id="echoid-s1348" xml:space="preserve">eadem namque eſt de-
              <lb/>
            monſtratio.</s>
            <s xml:id="echoid-s1349" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s1350" xml:space="preserve">Porro hinc jam recte quoque procedet demonſtratio alte-
              <lb/>
            rius theorematis Galileani, cui reliqua omnia, quæ de de-
              <lb/>
            ſcenſu ſuper planis inclinatis tradidit, ſuperſtruuntur. </s>
            <s xml:id="echoid-s1351" xml:space="preserve">Nempe</s>
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        <div xml:id="echoid-div72" type="section" level="1" n="30">
          <head xml:id="echoid-head52" xml:space="preserve">PROPOSITIO VII.</head>
          <p style="it">
            <s xml:id="echoid-s1352" xml:space="preserve">TEmpora deſcenſuum ſuper planis diverſimode
              <lb/>
            inclinatis, ſed quorum eadem eſt elevatio, eſſe
              <lb/>
            inter ſe ut planorum longitudines.</s>
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