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

Table of figures

< >
[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
< >
page |< < (117) of 434 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div198" type="section" level="1" n="71">
          <p>
            <s xml:id="echoid-s2700" xml:space="preserve">
              <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"/>
          </figure>
        </div>
        <div xml:id="echoid-div212" type="section" level="1" n="72">
          <head xml:id="echoid-head96" xml:space="preserve">HOROLOGII OSCILLATORII
            <lb/>
          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>
          </p>
        </div>
      </text>
    </echo>