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">
          <p>
            <s xml:id="echoid-s4041" xml:space="preserve">
              <pb o="466" file="0186" n="196" rhead="HUGENII OBSERVATIONES"/>
            inter ſe habent duæ hæ lineæ. </s>
            <s xml:id="echoid-s4042" xml:space="preserve">Si logarithmus differentiæ lo-
              <lb/>
            garithmorum horum numerorum ſemper addatur ad 0,
              <lb/>
            36221, 56868, ſumma erit logarithmus numeri partium,
              <lb/>
            quas continet Spatium Hyperbolicum, illarum quarum
              <lb/>
            1.</s>
            <s xml:id="echoid-s4043" xml:space="preserve">0000000000 conv
              <unsure/>
            inet parallelogr ammum Hyperbolæ, id
              <lb/>
            eſt illud, quod eſt contentum a duabus lineis ductis ex uno
              <lb/>
            Hyperbolæ puncto, & </s>
            <s xml:id="echoid-s4044" xml:space="preserve">quarum quævis parallela eſt uni ex
              <lb/>
            Aſymptotis; </s>
            <s xml:id="echoid-s4045" xml:space="preserve">Exempli gratia ſi parallelæ, quæ includunt ſpa-
              <lb/>
            tium Hyperbolicum ſint inter ſe ut 36 ad 5 operatio hoc pa-
              <lb/>
            cto fiet.</s>
            <s xml:id="echoid-s4046" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">
            <lb/>
          1, 5563025008 # Logarithmns 36.
            <lb/>
          0, 6989700043 # Logar. 5.
            <lb/>
          0, 8573324965. # Differentia.
            <lb/>
          9, 9331492856 # Logar. Differentiæ.
            <lb/>
          0, 36221 56868 # Logar. qui ſemper additur.
            <lb/>
          10, 2953649724; # Logar. cujus numerus facit contentum \\ in Spatio Hyperbolico, quod hic eſt 1.9740810180.
            <lb/>
          </note>
          <figure number="78">
            <image file="0186-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0186-01"/>
          </figure>
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        <div xml:id="echoid-div225" type="section" level="1" n="111">
          <head xml:id="echoid-head153" xml:space="preserve">III.
            <lb/>
          DOMINI GREGORII RESPONSUM
            <lb/>
          AD
            <lb/>
          ANIMADVERSIONES
            <lb/>
          DOMINI HUGENII,
            <lb/>
          IN EJUS LIBRUM, DE VERA CIRCULI
            <lb/>
          ET HYPERBOLÆ QUADRATURA.</head>
          <p>
            <s xml:id="echoid-s4047" xml:space="preserve">AD ea quæ dicit D. </s>
            <s xml:id="echoid-s4048" xml:space="preserve">Hugenius contra meam Circ.
              <lb/>
            </s>
            <s xml:id="echoid-s4049" xml:space="preserve">& </s>
            <s xml:id="echoid-s4050" xml:space="preserve">Hyperb. </s>
            <s xml:id="echoid-s4051" xml:space="preserve">Quadraturam, ingenuè fateor (cum
              <lb/>
            illa ſcriberem) me non animadvertiſſe exemplum
              <lb/>
            in prop. </s>
            <s xml:id="echoid-s4052" xml:space="preserve">10. </s>
            <s xml:id="echoid-s4053" xml:space="preserve">non eſſe ſeriem convergentem </s>
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