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

Table of figures

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[1] CHRISTIANUS HUGENIUS natus 14 Aprilis 1629. denatus 8 Junii 1695. Lugd. Bat. Apud Janssonios Van der Aa. Bibliopolas.
[Figure 2]
[Figure 3]
[Figure 4]
[Figure 5]
[Figure 6]
[7] Pag. 14TAB. I.Y A S C O I Q P M Σ Λ L K R H N G Γ Ψ X E V D F Ω B Θ Φ Z Π Δ T Ξ
[Figure 8]
[Figure 9]
[Figure 10]
[Figure 11]
[Figure 12]
[13] Pag. 46.TAB.II.Fig. 1.A Y B P N Q L L M T λ K 15 Z I 24 H S R G 8 48 F 48 48 8 V E λ C 72 D 30 ß 80 θ ε ε θ ß V γ ζ D C Δ 9 γ 30 δ A B Y X
[14] Fig. 2.Fig. 4.Fig. 3.B 2′ 30″ 4″ 3′ 30″ 15″ 4″ 1′ 30″ 15″ 45″ d 30″ 15″ e 15″ c C 2′ 3′ b A a f g
[15] Pag. 48.TAB. III.Fig. 1.A B G C K H M D I L E
[16] Fig. 2.K N M I P
[17] Fig. 3.A G C N O H D P Q R S I E T V K F B L M X Y Z Δ
[Figure 18]
[19] Pag. 52.TAB. IV.Fig. 1.N H G E F D C A K L L B
[20] Fig. 2.A B E F D C L
[21] Fig. 3.D D D E E E D E C D B E D E D D D E E E
[22] Pag. 64.TAB. V.Fig. 1.A B D E F G H K
[23] Fig. 2.C A G H B D K L E F
[24] Fig. 3.A B M C K D E O F G P H L
[25] Fig. 4.A C F E B D
[26] Fig. 5.A C D B
[27] Pag. 68.TAB. VI.Fig. 1.A G E B C D F
[28] Fig. 2.A E F H G D C B
[29] Fig. 3.D A E C B
[30] Fig. 4.A C B
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            <s xml:id="echoid-s916" xml:space="preserve">
              <pb o="40" file="0066" n="67" rhead="CHRISTIANI HUGENII"/>
            metrum vero baſeos, dimidiæ perpendiculi longitudi-
              <lb/>
              <note position="left" xlink:label="note-0066-01" xlink:href="note-0066-01a" xml:space="preserve">
                <emph style="sc">Descri-</emph>
                <lb/>
                <emph style="sc">PTIO</emph>
                <emph style="sc">Ho-</emph>
                <lb/>
                <emph style="sc">ROLOGII</emph>
              .</note>
            ni, æqualem habens; </s>
            <s xml:id="echoid-s917" xml:space="preserve">ſitque F G H E faſciola, ſeu
              <lb/>
            potius bractea tenuis, affixa regulæ in F, cylindro verò in
              <lb/>
            circumferentiæ puncto aliquo E, ita ut partim huic circum-
              <lb/>
            voluta ſit, partim extendatur juxta latus regulæ A B. </s>
            <s xml:id="echoid-s918" xml:space="preserve">Cy-
              <lb/>
            lindro autem infixa ſit ferrea cuſpis D I, pauxillum ultra
              <lb/>
            baſin inferiorem prominens, atque ita ut circumferentiæ ejus
              <lb/>
            exacte reſpondeat.</s>
            <s xml:id="echoid-s919" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s920" xml:space="preserve">His ita ſe habentibus, ſi cylindrus ſecundum regulam A B
              <lb/>
            volvatur, bracteolæ tantum F G craſſitudine intercedente,
              <lb/>
            eâque ſemper quantum poteſt extensâ, deſcribet cuſpis I in
              <lb/>
            ſubjecto tabulæ plano lineam curvam K I, quæ Cyclois vo-
              <lb/>
            catur. </s>
            <s xml:id="echoid-s921" xml:space="preserve">Circulus vero genitor erit C D E, cylindri adhibiti
              <lb/>
            baſis. </s>
            <s xml:id="echoid-s922" xml:space="preserve">Quod ſi jam laminam K L ad regulam A B appli-
              <lb/>
            cuerimus; </s>
            <s xml:id="echoid-s923" xml:space="preserve">exaratâ primum in ea cycloidis portione K I, in-
              <lb/>
            vertemus deinde ipſam, & </s>
            <s xml:id="echoid-s924" xml:space="preserve">in ſuperficie adverſa ſimilem li-
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            neam K M, ab eodem puncto K egredientem, incidemus.
              <lb/>
            </s>
            <s xml:id="echoid-s925" xml:space="preserve">Tum figuram M K I, accurate ſecundum lineas iſtas, ef-
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            formabimus, cui figuræ lamellarum interſtitium aptari opor-
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            tet, inter quas perpendiculum ſuſpenditur. </s>
            <s xml:id="echoid-s926" xml:space="preserve">Sufficiunt au-
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            tem ad horologiorum uſum portiones exiguæ arcuum K M,
              <lb/>
            K I; </s>
            <s xml:id="echoid-s927" xml:space="preserve">reliquo flexu inutili futuro, ad quem perpendiculi fi-
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            lum accedere non poteſt.</s>
            <s xml:id="echoid-s928" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s929" xml:space="preserve">Verum, ut mirabilis lineæ natura atque effectus plenius
              <lb/>
              <note position="left" xlink:label="note-0066-02" xlink:href="note-0066-02a" xml:space="preserve">TAB. III.
                <lb/>
              Fig. 2.</note>
            intelligantur, integras ſemicycloides K M, K I, alio ſche-
              <lb/>
            mate hic exprimere viſum fuit, inter quas ſuſpenſum agita-
              <lb/>
            tumque Pendulum K N P, diametri circuli genitoris du-
              <lb/>
            plum, cujuscunque amplitudinis oſcillationes, usque ad
              <lb/>
            maximam omnium per arcum M P I, iisdem temporibus
              <lb/>
            confecturum ſit: </s>
            <s xml:id="echoid-s930" xml:space="preserve">atque ita, ut appenſæ ſphæræ P centrum,
              <lb/>
            in linea M P I, quæ & </s>
            <s xml:id="echoid-s931" xml:space="preserve">ipſa cyclois integra eſt, ſemper
              <lb/>
            verſetur. </s>
            <s xml:id="echoid-s932" xml:space="preserve">Quæ proprietas inſignis, neſcio an alii præter hanc
              <lb/>
            lineæ data ſit, ut nempe ſe ipſam ſui evolutione deſcribat.
              <lb/>
            </s>
            <s xml:id="echoid-s933" xml:space="preserve">Hæc autem quæ dicta ſunt, in ſequentibus, ubi de deſcen-
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            ſu gravium, deque evolutione curvarum agemus, ſingula
              <lb/>
            demonſtrabuntur.</s>
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