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

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        <div xml:id="echoid-div224" type="section" level="1" n="110">
          <head xml:id="echoid-head152" xml:space="preserve">II.
            <lb/>
          HUGENII
            <lb/>
          OBSERVATIONES
            <lb/>
          IN LIBRUM
            <lb/>
          JACOBI GREGORII,
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          DE VERA CIRCULI ET HYPERBOLÆ
            <lb/>
          QUADRATURA.</head>
          <p>
            <s xml:id="echoid-s3977" xml:space="preserve">D
              <emph style="super">nus</emph>
            Hugenius rogatus à Societate quæ Pariſiis ſuos
              <lb/>
            habebat conventus (1668) in Bibliotheca Regia, ut
              <lb/>
            vellet hunc librum examinare, ſocietati retu-
              <lb/>
            lit ſe multos errores obſervaſſe in demonſtratio-
              <lb/>
            ne, qua Auctor contendit impoſſibilitatem quadra-
              <lb/>
            turæ Circuli & </s>
            <s xml:id="echoid-s3978" xml:space="preserve">Hyperboles probare.</s>
            <s xml:id="echoid-s3979" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s3980" xml:space="preserve">I. </s>
            <s xml:id="echoid-s3981" xml:space="preserve">in 11
              <emph style="super">a</emph>
            . </s>
            <s xml:id="echoid-s3982" xml:space="preserve">Propoſitione, in qua auctor contendit Circuli
              <lb/>
            quadraturam analytice impoſſibilem demonſtrare, hæc ha-
              <lb/>
            bentur Si terminatio magnitudinum propoſitarum analyti-
              <lb/>
            ce componatur a primis terminis a
              <emph style="super">3</emph>
            + a
              <emph style="super">2</emph>
            b & </s>
            <s xml:id="echoid-s3983" xml:space="preserve">ab
              <emph style="super">2</emph>
            + b
              <emph style="super">3</emph>
            , com-
              <lb/>
            ponetur etiam analyticê & </s>
            <s xml:id="echoid-s3984" xml:space="preserve">eodem omnino modo a ſecundis
              <lb/>
            terminis ba
              <emph style="super">2</emph>
            + bba & </s>
            <s xml:id="echoid-s3985" xml:space="preserve">2 b
              <emph style="super">2</emph>
            a. </s>
            <s xml:id="echoid-s3986" xml:space="preserve">ſed licet id verum ſit quando
              <lb/>
            terminatio inventa eſt per Methodum, quam indicat, non
              <lb/>
            poteſt generalis inde deduci concluſio. </s>
            <s xml:id="echoid-s3987" xml:space="preserve">niſi ponamus, non
              <lb/>
            poſſe inveniri, niſi per ejus Methodum, terminationem ſeriei
              <lb/>
            Magnitudinum, quas appellat convergentes, vel ſi aliâ me-
              <lb/>
            thodo inveniatur illam etiam per ſuam methodum inveniri
              <lb/>
            poſſe quod non demonſtravit.</s>
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            <s xml:id="echoid-s3989" xml:space="preserve">II. </s>
            <s xml:id="echoid-s3990" xml:space="preserve">Autor immediate poſt addit; </s>
            <s xml:id="echoid-s3991" xml:space="preserve">nullam quantitatem </s>
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