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-s1740" xml:space="preserve">
              <pb o="79" file="0119" n="127" rhead="HOROLOG. OSCILLATOR."/>
            A D, erunt anguli ad circumferentiam ipſis inſiſtentes,
              <lb/>
              <note position="right" xlink:label="note-0119-01" xlink:href="note-0119-01a" xml:space="preserve">
                <emph style="sc">De motu</emph>
                <lb/>
                <emph style="sc">IN</emph>
                <emph style="sc">Cy-</emph>
                <lb/>
                <emph style="sc">CLOIDE</emph>
              .</note>
            E D A, A B D æquales. </s>
            <s xml:id="echoid-s1741" xml:space="preserve">Itaque in triangulis A B D,
              <lb/>
            A D F, æquales anguli A B D, A D F. </s>
            <s xml:id="echoid-s1742" xml:space="preserve">Communis au-
              <lb/>
            tem utrique eſt angulus ad A. </s>
            <s xml:id="echoid-s1743" xml:space="preserve">Ergo dicti trianguli ſimiles
              <lb/>
            erunt, ideoque B A ad A D ut A D ad A F.</s>
            <s xml:id="echoid-s1744" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1745" xml:space="preserve">Sit jam punctum interſectionis f extra circulum, & </s>
            <s xml:id="echoid-s1746" xml:space="preserve">du-
              <lb/>
            catur b H parallela D E, quæ occurrat rectæ A D in H.
              <lb/>
            </s>
            <s xml:id="echoid-s1747" xml:space="preserve">Itaque ſecundum jam demonſtrata erit ut D A ad A b, ita
              <lb/>
            A b ad A H, hoc eſt, ita A f ad A D: </s>
            <s xml:id="echoid-s1748" xml:space="preserve">Ideoque rurſus
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            proportionales erunt A f, A D, A b. </s>
            <s xml:id="echoid-s1749" xml:space="preserve">Quare conſtat propo-
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            ſitum.</s>
            <s xml:id="echoid-s1750" xml:space="preserve"/>
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        <div xml:id="echoid-div122" type="section" level="1" n="47">
          <head xml:id="echoid-head69" xml:space="preserve">PROPOSITIO XXIII.</head>
          <p style="it">
            <s xml:id="echoid-s1751" xml:space="preserve">SIt Cyclois A B C, cujus vertex A deorſum con-
              <lb/>
              <note position="right" xlink:label="note-0119-02" xlink:href="note-0119-02a" xml:space="preserve">TAB. IX.
                <lb/>
              Fig. 5.</note>
            verſus ſit, axe A D ad perpendiculum erecto;
              <lb/>
            </s>
            <s xml:id="echoid-s1752" xml:space="preserve">ſumptoque in ea quolibet puncto B, ducatur inde
              <lb/>
            deorſum recta B I quæ Cycloidem tangat, terminetur-
              <lb/>
            que recta horizontali A I. </s>
            <s xml:id="echoid-s1753" xml:space="preserve">recta vero B F ad axem
              <lb/>
            perpendicularis agatur, & </s>
            <s xml:id="echoid-s1754" xml:space="preserve">diviſa bifariam F A in
              <lb/>
            X, ſuper ea deſcribatur ſemicirculus F H A. </s>
            <s xml:id="echoid-s1755" xml:space="preserve">Du-
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            ctâ deinde per punctum quodlibet G in curva B A
              <lb/>
            ſumptum, rectâ Σ G parallelâ B F, quæ circum-
              <lb/>
            ferentiæ F H A occurrat in H, axi A D in Σ, in-
              <lb/>
            telligantur per puncta G & </s>
            <s xml:id="echoid-s1756" xml:space="preserve">H rectæ tangentes u-
              <lb/>
            triusque curvæ, earumque tangentium partes iis-
              <lb/>
            dem duabus horizontalibus M S, N T interceptæ
              <lb/>
            ſint M N, S T. </s>
            <s xml:id="echoid-s1757" xml:space="preserve">Iisdemque rectis M S, N T in-
              <lb/>
            cludantur tangentis B I pars O P, & </s>
            <s xml:id="echoid-s1758" xml:space="preserve">axis D A
              <lb/>
            pars Q R.</s>
            <s xml:id="echoid-s1759" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1760" xml:space="preserve">Quibus ita ſe habentibus, dico tempus quo gra-
              <lb/>
            ve percurret rectam M N, celeritate </s>
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