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

Table of figures

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[51] Fig. 2.E D A B C
[52] Fig. 3.E H C A D F G B
[53] Pag. 96.TAB. XII.Fig. 1.C E H A G K D B
[54] Fig. 2.N O L K B C M P G D A E F H
[55] Fig. 3.N M H G K O F L C D B E P A Q
[56] Fig. 4.A D F E G B C
[57] Pag. 104.TAB. XIII.Fig. 1.H E M A F K G B D
[58] Fig. 2.A F N E G B D
[59] Fig. 4.A G D C H E K F B
[60] Fig. 3.E B H X L D C A G D C
[61] Fig. 5.A D C G F E B H
[62] Pag. 106.TAB. XIV.Fig. 2.T B M S O I C A F K E L Q P N
[63] Fig. 1.E F K L A G H M C B D
[64] Fig. 3.I G E B P R Q A K C D H F
[65] Pag. 112.TAB. XV.Fig. 1.S D A B C E V
[66] Fig. 2.F A E B K G H N L D M O C
[67] Fig. 3.C D F A B K E G N H
[68] Fig. 5.S M A N B K X T P L F V O C Y D E G H
[69] Fig. 4.Y H A S B K T X F L V P O M N C D G E
[70] Pag. 114.TAB. XVI.Fig. 1.M F E A K G N H B D C
[71] Fig. 2.H A K B R P F L O M N D Q G E
[72] Fig. 3.Y H A S Z X T K B V L P F O C M N D G E
[Figure 73]
[74] Pag. 122TAB. XVII.Fig. 1.S A P B R M D I
[75] Fig. 2.H S Z K B C M D
[76] Fig. 3.P S Z M A B K D H
[77] Fig. 4.H C A E D F B G
[78] Pag. 128.TAB. XVIII.Fig. 1.A G C B D E H F K I M
[79] Fig. 2.A C G B E F D H M N O P
[80] Fig. 3.D L Q A G Q M R E P. Q B F N H Q C Q K Q
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              <pb o="117" file="0173" n="189" rhead="HOROLOG. OSCILLATOR."/>
            rum quæ ex paraboloidibus naſcuntur conſtructionem, du-
              <lb/>
              <note position="right" xlink:label="note-0173-01" xlink:href="note-0173-01a" xml:space="preserve">
                <emph style="sc">De linea-</emph>
                <lb/>
                <emph style="sc">RUMCUR.</emph>
                <lb/>
                <emph style="sc">VARUM</emph>
                <lb/>
                <emph style="sc">EVOLUTIO-</emph>
                <lb/>
                <emph style="sc">NE.</emph>
              </note>
            cendæ ſunt lineæ D B Z, quæ ad datum punctum B ſecent
              <lb/>
            curvas A B, ſive ipſarum tangentes B H, ad angulos re-
              <lb/>
            ctos; </s>
            <s xml:id="echoid-s2701" xml:space="preserve">dicemus in univerſum quomodo hæ tangentes inve-
              <lb/>
            niantur. </s>
            <s xml:id="echoid-s2702" xml:space="preserve">In æquatione itaque, quæ cujusque curvæ naturam
              <lb/>
            explicat, quales æquationes duabus tabellis præcedentibus
              <lb/>
            exponuntur, conſiderare oportet quæ ſint exponentes pote-
              <lb/>
            ſtatum x & </s>
            <s xml:id="echoid-s2703" xml:space="preserve">y, & </s>
            <s xml:id="echoid-s2704" xml:space="preserve">facere ut, ſicut exponens poteſtatis x ad
              <lb/>
            exponentem poteſtatis y, ita ſit S K ad K H. </s>
            <s xml:id="echoid-s2705" xml:space="preserve">Juncta enim
              <lb/>
            H B curvam in B continget. </s>
            <s xml:id="echoid-s2706" xml:space="preserve">Velut in tertia hyperboloide,
              <lb/>
            cujus æquatio eſt x y
              <emph style="super">2</emph>
            = a
              <emph style="super">3</emph>
            : </s>
            <s xml:id="echoid-s2707" xml:space="preserve">quia exponens poteſtatis x eſt
              <lb/>
            1, poteſtatis autem y exponens 2; </s>
            <s xml:id="echoid-s2708" xml:space="preserve">oportet eſſe ut 1 ad 2 ita
              <lb/>
            S K ad K H. </s>
            <s xml:id="echoid-s2709" xml:space="preserve">Horum autem demonſtrationem noverunt
              <lb/>
            analyticæ artis periti, qui jam pridem omnes has lineas con-
              <lb/>
            templari cœperunt; </s>
            <s xml:id="echoid-s2710" xml:space="preserve">& </s>
            <s xml:id="echoid-s2711" xml:space="preserve">non ſolum paraboloidum iſtarum,
              <lb/>
            ſed & </s>
            <s xml:id="echoid-s2712" xml:space="preserve">ſpatiorum quorundam infinitorum, inter hyperboloi-
              <lb/>
            des & </s>
            <s xml:id="echoid-s2713" xml:space="preserve">aſymptotos interjectorum, plana ſolidaque dimenſi
              <lb/>
            ſunt. </s>
            <s xml:id="echoid-s2714" xml:space="preserve">Quod quidem & </s>
            <s xml:id="echoid-s2715" xml:space="preserve">nos, facili atque univerſali metho-
              <lb/>
            do, expedire poſſemus, ex ſola tangentium proprietate ſum-
              <lb/>
            pta demonſtratione. </s>
            <s xml:id="echoid-s2716" xml:space="preserve">Sed illa non ſunt hujus loci.</s>
            <s xml:id="echoid-s2717" xml:space="preserve"/>
          </p>
          <figure number="73">
            <image file="0173-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0173-01"/>
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        <div xml:id="echoid-div212" type="section" level="1" n="72">
          <head xml:id="echoid-head96" xml:space="preserve">HOROLOGII OSCILLATORII
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          PARS QUARTA.</head>
          <head xml:id="echoid-head97" style="it" xml:space="preserve">De centro Oſcillationis.</head>
          <p>
            <s xml:id="echoid-s2718" xml:space="preserve">CEntrorum Oſcillationis, ſeu Agitationis, inveſtigatio-
              <lb/>
            nem olim mihi, fere adhuc puero, aliiſque multis, do-
              <lb/>
            ctiſſimus Merſennus propoſuit, celebre admodum inter illius
              <lb/>
            temporis Geometras problema, prout ex litteris ejus ad me
              <lb/>
            datis colligo, nec non ex Carteſii haud pridem editis, qui-
              <lb/>
            bus ad Merſennianas ſuper his rebus reſponſum continetur.
              <lb/>
            </s>
            <s xml:id="echoid-s2719" xml:space="preserve">Poſtulabat autem centra illa ut invenirem in circuli </s>
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