Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica

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        <div xml:id="echoid-div257" type="section" level="1" n="125">
          <pb o="515" file="0239" n="251" rhead="GEOMET. VARIA."/>
          <figure number="99">
            <image file="0239-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0239-01"/>
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        <div xml:id="echoid-div263" type="section" level="1" n="126">
          <head xml:id="echoid-head173" xml:space="preserve">V.
            <lb/>
          PROBLEMA AB ERUDITIS SOLVENDUM:
            <lb/>
          A
            <lb/>
          JOHANNE BERNOULLIO
            <lb/>
          IN ACTIS LIPSIENSIBUS
            <lb/>
          ANNI MDCXCIII.
            <lb/>
          PROPOSITUM.</head>
          <p>
            <s xml:id="echoid-s5137" xml:space="preserve">QUæritur, qualis ſit curva A B C, quæ hanc habet
              <lb/>
              <note position="right" xlink:label="note-0239-01" xlink:href="note-0239-01a" xml:space="preserve">TAB. XLVI.
                <lb/>
              fig. 5.</note>
            proprietatem, ut, ducta ubicunque tangente
              <lb/>
            B D terminata ab axe A E, portio ejus abſciſſa
              <lb/>
            A D ſit ad tangentem B D in ratione conſtan-
              <lb/>
            te M ad N.</s>
            <s xml:id="echoid-s5138" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5139" xml:space="preserve">Problema hoc ſolutu dignum eſt, & </s>
            <s xml:id="echoid-s5140" xml:space="preserve">facile Mathemati-
              <lb/>
            corum applicationem meretur. </s>
            <s xml:id="echoid-s5141" xml:space="preserve">In quacunque enim ratio-
              <lb/>
            ne ſit M ad N, curva A B C ſemper eadem facilitate mo-
              <lb/>
            tu quodam continuo deſcribi poteſt, non obſtante, quod
              <lb/>
            curva pro ratione M ad N magis vel minus compoſita
              <lb/>
            evadat; </s>
            <s xml:id="echoid-s5142" xml:space="preserve">in caſu quippe rationis æqualitatis illico patet,
              <lb/>
            curvam A B C eſſe circulum: </s>
            <s xml:id="echoid-s5143" xml:space="preserve">in reliquis ſi M ad N eſt ut
              <lb/>
            numerus ad numerum, erit quidem curva geometrica, ſe-
              <lb/>
            cus autem tranſcendentalis eſt. </s>
            <s xml:id="echoid-s5144" xml:space="preserve">Quæritur generalis deter-
              <lb/>
            matio puncti in curva.</s>
            <s xml:id="echoid-s5145" xml:space="preserve"/>
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        <div xml:id="echoid-div265" type="section" level="1" n="127">
          <head xml:id="echoid-head174" style="it" xml:space="preserve">Tom. II. Ttt</head>
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