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

Table of figures

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[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
[81] Fig. 4.N Q K C Q D L R E P F A Q G M Q Q H B Q
[82] Pag. 136.TAB. XIX.Fig. 1.D C X B Y E R I Q L S N K P A TF G Y M H O
[83] Fig. 2.X C D A T E R I Q L S N K P B Y
[84] Fig. 3.F G K C D I E M A B D
[85] Fig. 4.D K E F L B A H G C E
[86] Fig. 5.D C K L F E A G H D B
[87] Fig. 6.C D K F L E H G A D B
[88] Pag. 142.TAB. XX.Fig. 1.D L F K A E G H C L K F D B
[89] Fig. 2.D F K L C H E G A K F L D B
[90] Fig. 3.L D C A E H G B L D
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        <div xml:id="echoid-div166" type="section" level="1" n="61">
          <pb o="97" file="0145" n="157" rhead="HOROLOG. OSCILLATOR."/>
          <p>
            <s xml:id="echoid-s2154" xml:space="preserve">Et apparet, ſi dimidiam cycloidem, ipſi A B C gemel-
              <lb/>
              <note position="right" xlink:label="note-0145-01" xlink:href="note-0145-01a" xml:space="preserve">
                <emph style="sc">De linea-</emph>
                <lb/>
                <emph style="sc">RUM CUR-</emph>
                <lb/>
                <emph style="sc">VARUM</emph>
                <lb/>
                <emph style="sc">EVOLUTIO-</emph>
                <lb/>
                <emph style="sc">NE.</emph>
              </note>
            lam, contrario ſitu ab altera parte lineæ C G diſponamus,
              <lb/>
            velut C N, ejus evolutione, vel etiam dum filum, jam
              <lb/>
            extenſum in C F, circa eam replicatur, alteram ſemicy-
              <lb/>
            cloidem F N fili extremitate deſcriptum iri, quæ ſimul
              <lb/>
            cum priore A E F integram conſtituat.</s>
            <s xml:id="echoid-s2155" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2156" xml:space="preserve">Atque ex his, & </s>
            <s xml:id="echoid-s2157" xml:space="preserve">propoſitione 25 de deſcenſu gravium, ma-
              <lb/>
            nifeſtum jam eſt quod ſupra in Conſtructione Horologii de
              <lb/>
            æquabili penduli motu dictum fuit. </s>
            <s xml:id="echoid-s2158" xml:space="preserve">Patet enim perpendicu-
              <lb/>
            lum, inter laminas binas, ſecundum ſemicycloidem inflexas,
              <lb/>
            ſuſpenſum agitatumque, motu ſuo cycloidis arcum deſcri-
              <lb/>
            bere, ac proinde æqualibus temporibus quaſlibet ejus reci-
              <lb/>
            procationes abſolvi. </s>
            <s xml:id="echoid-s2159" xml:space="preserve">Non refert enim utrum in ſuperficie,
              <lb/>
            ſecundum cycloidem curvata, mobile feratur, an filo alliga-
              <lb/>
            tum lineam ipſam in aëre percurrat, cum utrobique eandem
              <lb/>
            libertatem, eandemque in omnibus curvæ punctis inclina-
              <lb/>
            tionem ad motum habeat.</s>
            <s xml:id="echoid-s2160" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div169" type="section" level="1" n="62">
          <head xml:id="echoid-head86" xml:space="preserve">PROPOSITIO VII.</head>
          <p style="it">
            <s xml:id="echoid-s2161" xml:space="preserve">Cyclois linea ſui axis, ſive diametri circuli ge-
              <lb/>
            nitoris, quadrupla eſt.</s>
            <s xml:id="echoid-s2162" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2163" xml:space="preserve">Repetita enim figura præcedenti: </s>
            <s xml:id="echoid-s2164" xml:space="preserve">cum poſt totam ſemi-
              <lb/>
              <note position="right" xlink:label="note-0145-02" xlink:href="note-0145-02a" xml:space="preserve">TAB. XVI.
                <lb/>
              Fig. 1.</note>
            cycloidem A B C evolutam, filum occupet rectam C F,
              <lb/>
            quæ dupla eſt A D, proptarea quod axes cycloidum A B C,
              <lb/>
            A E F ſunt æquales; </s>
            <s xml:id="echoid-s2165" xml:space="preserve">apparet ſemicycloidem ipſam A B C,
              <lb/>
            filo ſibi circum applicito æqualem, duplam eſſe ſui axis A D,
              <lb/>
            ac totam proinde cycloidem axis ſui quadruplam.</s>
            <s xml:id="echoid-s2166" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2167" xml:space="preserve">Apparet etiam tangentem B E, quæ refert partem fili ex-
              <lb/>
            tenſam, antea curvæ parti B A applicatam, huic ipſi longi-
              <lb/>
            tudine æquari. </s>
            <s xml:id="echoid-s2168" xml:space="preserve">Eſt autem B E dupla ipſius B K, ſive A H,
              <lb/>
            quoniam in propoſitione quinta oſtenſum eſt K E ipſi A H
              <lb/>
            æqualem eſſe. </s>
            <s xml:id="echoid-s2169" xml:space="preserve">Itaque pars cycloidis A B rectæ A H, ſive
              <lb/>
            B K, dupla erit: </s>
            <s xml:id="echoid-s2170" xml:space="preserve">exiſtente nimirum B H parallela baſi
              <lb/>
            cycloidis: </s>
            <s xml:id="echoid-s2171" xml:space="preserve">idque ubicunque in ea punctum B ſumptum fue-
              <lb/>
            rit.</s>
            <s xml:id="echoid-s2172" xml:space="preserve"/>
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