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

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[211.] CATALOGUS QUORUNDAM LIBRORUM, Qui apud Janssonios Van der Aa, Bibliopolas Lugduni Batavorum, venales proſtant.
Page: 560
[212.] AVIS AU RELIEUR.
Page: 563
[213.] BERIGT AAN DEN BOEKBINDER.
Page: 563
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          <figure number="81">
            <image file="0205-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0205-01"/>
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        <div xml:id="echoid-div240" type="section" level="1" n="119">
          <head xml:id="echoid-head164" xml:space="preserve">I.
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          CONSTRUCTIO LOCI
            <lb/>
          AD HYPERBOLAM
            <lb/>
          PER ASYMPTOTOS.</head>
          <p>
            <s xml:id="echoid-s4504" xml:space="preserve">In æquatione loci ad hyperbolam, ſi neutra indeter-
              <lb/>
              <note position="right" xlink:label="note-0205-01" xlink:href="note-0205-01a" xml:space="preserve">TAB. XLIV.
                <lb/>
              fig. 4. 5. 6. 7.</note>
            minatarum linearum in ſeipſam ducta inveniatur,
              <lb/>
            velut ſi ſit xy = bb; </s>
            <s xml:id="echoid-s4505" xml:space="preserve">vel xy = cx. </s>
            <s xml:id="echoid-s4506" xml:space="preserve">bb; </s>
            <s xml:id="echoid-s4507" xml:space="preserve">(literis x & </s>
            <s xml:id="echoid-s4508" xml:space="preserve">y
              <lb/>
            lineas indeterminatas A B, B C ſignificantibus,
              <lb/>
            quæ in dato angulo ſibi mutuò ſint applicatæ, quarumque al-
              <lb/>
            tera, ut A B, poſitione data intelligitur, & </s>
            <s xml:id="echoid-s4509" xml:space="preserve">in ea datum pun-
              <lb/>
            ctum A) conſtructio per aſymptotorum inventionem facilè
              <lb/>
            abſolvitur, ut oſtenſum eſt à Fl. </s>
            <s xml:id="echoid-s4510" xml:space="preserve">de Beaune in Notis ad Geo-
              <lb/>
            metriam Carteſii. </s>
            <s xml:id="echoid-s4511" xml:space="preserve">Cum verò habetur x x vel y y in æquatio-
              <lb/>
            ne, vel utrumque nihilominus ad aſymptotos rem deduci
              <lb/>
            poſſe, & </s>
            <s xml:id="echoid-s4512" xml:space="preserve">quidem brevius quàm ad diametri laterumque re-
              <lb/>
            cti & </s>
            <s xml:id="echoid-s4513" xml:space="preserve">transverſi inventionem, oſtendemus hoc modo.</s>
            <s xml:id="echoid-s4514" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4515" xml:space="preserve">Sit æquatio ejuſmodi reducta, y = l. </s>
            <s xml:id="echoid-s4516" xml:space="preserve">{nx/z} √mm.</s>
            <s xml:id="echoid-s4517" xml:space="preserve">ox + {ppxx;</s>
            <s xml:id="echoid-s4518" xml:space="preserve">/gg}
              <lb/>
            ſemper enim ad hos terminos reduci poteſt, nempe ut y al-
              <lb/>
            tera linearum indeterminatarum, quæ applicata eſt ad poſi-
              <lb/>
            tionem datam, ſola ab una parte æquationis habeatur, ab alte-
              <lb/>
            ra verò non plures termini quàm hîc inveniantur; </s>
            <s xml:id="echoid-s4519" xml:space="preserve">nam ſæ-
              <lb/>
            pe pauciores etiam eſſe poſſunt, cum ſoli neceſſarii ſint
              <lb/>
            + {ppxx/gg} cum alterutro horum mm vel ox.</s>
            <s xml:id="echoid-s4520" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4521" xml:space="preserve">Quum angulus A B C datus ſit, ducatur per A punctum
              <lb/>
            linea X Y quæ ſit rectæ B C parallela, & </s>
            <s xml:id="echoid-s4522" xml:space="preserve">in ea accipiatur AI
              <lb/>
            æqualis l, idque ad partes B C, ſi habeatur + l in æquatio-
              <lb/>
            ne, in contrarias verò ſi habeatur — l, & </s>
            <s xml:id="echoid-s4523" xml:space="preserve">agatur I K </s>
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