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

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[Figure 191]
[192] Pag. 626.TAB. LI.Fig. 1.F E D V S 30 20 10 C L G R H K P A M Z I O X B
[193] Fig. 2.L K O R E H N I S D G B C
[194] Fig. 3.A 16 15 14 13 12 11 10 9 B 8 7 6 5 4 3 2 1
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[217] Pg. 700TAB. LIII.4 3 2 1 Annu Sat. lus
[218] 4 3 2 1 Jup.
[219] Luna Tellus
[220] Pag. 704.TAB. LIV.Fig. 1.Satu@@i. Jovis. Martis. Telluris. veneris. M@rc. ♎ Sol. ♈ VS
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          <head xml:id="echoid-head152" xml:space="preserve">II.
            <lb/>
          HUGENII
            <lb/>
          OBSERVATIONES
            <lb/>
          IN LIBRUM
            <lb/>
          JACOBI GREGORII,
            <lb/>
          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"/>
          </p>
          <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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