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

Table of figures

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[121] Pag. 170.TAB. XXVI.Fig. 1.Ω O Ω A Z R F R N E N R G S V P Φ Δ V B D K C
[122] Fig. 2.L O A V P Φ Δ V B E C S H D
[123] Fig. 3.F G E G P A P K K L B D B S
[Figure 124]
[Figure 125]
[126] Pag. 188.TAB.XXVII.Fig. 1.O V VA M N D N B O E CE A G B D C F
[127] Fig. 2.S Z G F H Y
[128] Fig. 3.D A D M T C
[129] Fig. 4.A E N D C
[130] Fig. 5.K D B G A F E H
[Figure 131]
[Figure 132]
[Figure 133]
[Figure 134]
[Figure 135]
[Figure 136]
[137] Pag. 248.TAB. XXVIII.Fig. 1.B A E D H F I G
[138] Fig. 2.M B A E D L N H F O I G
[139] Fig. 4.O P M I B G Q N L R H A F D
[140] Fig. 5.B A D L N H I
[141] Fig. 3.a B c A C
[142] Fig. 7.D A C B E G
[143] Fig. 6.D A G B
[Figure 144]
[145] Pag. 262.TAB.XXIX.Fig. 1.P E O D C Q H M G N B S R T F
[146] Fig. 4.C A H N E P B L K I
[147] Fig. 3.N Q O P T
[148] Fig. 2.F D I C A B H K E R S G
[149] Fig. 5.L M C M E H O D P I
[150] Pag. 268.TAB. XXX.a a I L K M g N l O c k P Q T S Q V T S R f f e n l d h g b
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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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