Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica

Table of figures

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[91] Fig. 4.D L C E A X V G H L D B
[92] Fig. 5.T F K A V Q Z D E O B X P C Y f I G M L R N S H
[93] Fig. 6.K E A H C L D F G B
[94] Pag. 154.TAB. XXI.Fig. 1.G E G O A K L Q Q M M H F R R N N B D L K C P S V X Z Y X V T
[95] Fig. 3.F A D E B C G H
[96] Fig. 2.G E Ω O Ω S A S Q Q M M R R N X F N V P Φ Δ V B C K D Z
[97] Pag. 156.Fig. 2.S F Z V O V L A Q Q M M I R R N N X T X K E K Y H G P B C D
[98] Fig. 1.F H A E G B C
[99] Fig. 3.C B A E D
[100] Fig. 4.E F E D D D V O B A N C K H
[101] Fig. 5.D D D E F E B A C H K
[102] Pag. 160.Fig. 1.F D D @ N A L C H K M
[103] Fig. 2.D D D F B A L C H K
[104] Fig. 3.C A B
[105] Fig. 4.B A K C E D G
[106] G D E C A K B
[107] G D K C A B
[108] Fig. 5.K B K A C E D F
[109] Fig. 6.Q B Q O N A C E D R P F
[110] Pag. 164.Fig. 1.G B O N C R P F
[111] Fig. 2.G B R F
[112] Fig. 3.A E C F B
[113] Fig. 4.A C E D F B
[114] Fig. 6.A B C G D L
[115] Fig. 5.H A O M R L N
[116] Pag. 166.TAB.XXV.Fig. 1.A O C G D L N
[117] Fig. 2.A B C G D L N
[118] Fig. 3.O C D A K B N E F C D L M
[119] Fig. 4.O A C D F E K B N C L D M
[120] Fig. 5.E A G F H K B D C
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            <s xml:id="echoid-s1443" xml:space="preserve">
              <pb o="68" file="0102" n="107" rhead="CHRISTIANI HUGENII"/>
            nis intercepto, & </s>
            <s xml:id="echoid-s1444" xml:space="preserve">in eandem partem cavo. </s>
            <s xml:id="echoid-s1445" xml:space="preserve">Ergo & </s>
            <s xml:id="echoid-s1446" xml:space="preserve">F D
              <lb/>
              <note position="left" xlink:label="note-0102-01" xlink:href="note-0102-01a" xml:space="preserve">
                <emph style="sc">De de-</emph>
                <lb/>
                <emph style="sc">SCENSU</emph>
                <lb/>
                <emph style="sc">GRAVIUM</emph>
              .</note>
            eodem arcu B D major erit: </s>
            <s xml:id="echoid-s1447" xml:space="preserve">quare conſtat propoſitum.</s>
            <s xml:id="echoid-s1448" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div89" type="section" level="1" n="36">
          <head xml:id="echoid-head58" xml:space="preserve">PROPOSITIO XIII.</head>
          <p style="it">
            <s xml:id="echoid-s1449" xml:space="preserve">IIsdem poſitis, ſi recta A B occurrat ipſi D G in-
              <lb/>
              <note position="left" xlink:label="note-0102-02" xlink:href="note-0102-02a" xml:space="preserve">TAB. VI.
                <lb/>
              Fig. 6.</note>
            tra circulum; </s>
            <s xml:id="echoid-s1450" xml:space="preserve">Dico arcum B D, rectis G D,
              <lb/>
            A B interceptum, majorem eſſe recta D F.</s>
            <s xml:id="echoid-s1451" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1452" xml:space="preserve">Jungatur enim D C & </s>
            <s xml:id="echoid-s1453" xml:space="preserve">ducatur arcui D B ſubtenſa D B.
              <lb/>
            </s>
            <s xml:id="echoid-s1454" xml:space="preserve">Quoniam ergo angulus A B D æqualis A C D, hoc eſt,
              <lb/>
            angulo A D G; </s>
            <s xml:id="echoid-s1455" xml:space="preserve">angulus autem D F B major angulo A D F,
              <lb/>
            ſive A D G; </s>
            <s xml:id="echoid-s1456" xml:space="preserve">erit idem D F B etiam major D B F. </s>
            <s xml:id="echoid-s1457" xml:space="preserve">Ergo
              <lb/>
            in triangulo D F B latus D B majus latere D F; </s>
            <s xml:id="echoid-s1458" xml:space="preserve">unde mul-
              <lb/>
            to magis arcus D B ſuperabit eandem D F. </s>
            <s xml:id="echoid-s1459" xml:space="preserve">Quare conſtat
              <lb/>
            propoſitum.</s>
            <s xml:id="echoid-s1460" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div91" type="section" level="1" n="37">
          <head xml:id="echoid-head59" xml:space="preserve">PROPOSITIO XIV.</head>
          <p style="it">
            <s xml:id="echoid-s1461" xml:space="preserve">SIt cyclois A B C cujus baſis A C axis B D.
              <lb/>
            </s>
            <s xml:id="echoid-s1462" xml:space="preserve">Quomodo autem generetur ex definitione & </s>
            <s xml:id="echoid-s1463" xml:space="preserve">
              <lb/>
            deſcriptione mechanica ſuperius traditis ſatis ma-
              <lb/>
            nifeſtum arbitror. </s>
            <s xml:id="echoid-s1464" xml:space="preserve">Et circa axem B D, circulus
              <lb/>
            deſcriptus ſit B G D, & </s>
            <s xml:id="echoid-s1465" xml:space="preserve">à quolibet puncto E in cy-
              <lb/>
            cloide ſumpto agatur E F baſi A C parallela, quæ
              <lb/>
            occurrat axi B D in F, ſecetque circumferentiam
              <lb/>
            B G D in G, Dico rectam G E arcui G B æqua-
              <lb/>
            lem eſſe.</s>
            <s xml:id="echoid-s1466" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1467" xml:space="preserve">Deſcribatur enim per E punctum circulus L E K ipſi
              <lb/>
            B G D æqualis, quique tangat baſin cycloidis in K, & </s>
            <s xml:id="echoid-s1468" xml:space="preserve">du-
              <lb/>
            catur diameter K L. </s>
            <s xml:id="echoid-s1469" xml:space="preserve">Eſt igitur recta A K arcui E K æqua-
              <lb/>
            lis; </s>
            <s xml:id="echoid-s1470" xml:space="preserve">ſed tota A D æqualis ſemicircumferentiæ K E L; </s>
            <s xml:id="echoid-s1471" xml:space="preserve">ergo
              <lb/>
            K D æqualis arcui E L ſive G B. </s>
            <s xml:id="echoid-s1472" xml:space="preserve">Eſt autem K D ſive N F
              <lb/>
            æqualis E G, quoniam E N æqualis G F, & </s>
            <s xml:id="echoid-s1473" xml:space="preserve">communis
              <lb/>
            utrique N G. </s>
            <s xml:id="echoid-s1474" xml:space="preserve">Ergo conſtat & </s>
            <s xml:id="echoid-s1475" xml:space="preserve">G E æqualem eſſe arcui G B.</s>
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