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

Table of figures

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[61] Fig. 5.G L B H D O A E C K
[62] Fig. 7.K F A C D B E H G
[63] Pag. 404.TAB. XLII.Fig. 1.K F M A C D B L E N G
[64] Fig. 3.G R D B H F E N A X C M P Q K
[65] Fig. 2.K A F c S C L E B T G D R d
[66] Fig. 4.K e G P E m B D f R F S H M C A N L Q n
[67] Fig. 5.B C R E G A F M Q D O
[68] Fig. 6.B C H G E A M Q P K D
[69] Fig. 7.B C E G A M P Q K H D
[Figure 70]
[71] Pag. 450.TAB.XLIII.Fig. 4.B A F R P C D E G H I K S L M N O
[72] Fig. 1.F G I K D L E S T O C N H M V R B Q P A
[73] Fig. 2.F G I K D L E S T O C N V R B Q P A
[74] Fig. 5.A C B D E
[75] Fig. 3.A F G I K D L S T E O C N H M V R B Q P
[Figure 76]
[Figure 77]
[Figure 78]
[Figure 79]
[Figure 80]
[Figure 81]
[Figure 82]
[83] TAB. XLIV.Fig. 2.D H A B E F G
[84] Fig. 1.E G N L O I Q P D K M H F A
[85] Fig. 3.B E F A D G C
[86] I. CasusFig. 4.Y Q R C A B M L I K V C O S X
[87] II. CasusFig. 5.R C Y Q A B I L M K V O X S C
[88] III. CasusFig. 6.Q C D Y K L I N M S V B X C A G O
[89] Fig. 7.IV. CasusQ D C A B S L N X M I V Y K C G O
[Figure 90]
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          <figure number="81">
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        <div xml:id="echoid-div240" type="section" level="1" n="119">
          <head xml:id="echoid-head164" xml:space="preserve">I.
            <lb/>
          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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