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

Table of figures

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[31] Fig. 5.A B F E D G C
[32] Fig. 6.A D G F B C
[33] Pag. 72.TAB. VII.Fig. 1.L B E N G F A K D C
[34] Fig. 2.A H L K M B E N Q P O C D
[35] Fig. 3.B F A K O N M E V L C H D
[36] Pag. 76.TAB. VIII.Fig. 1.O P E V D H C L M N A B F
[37] Fig. 2.A B C E H G F
[38] Fig. 3.D A B C E H G K F
[39] Fig. 4.A L C M B E G F
[40] Fig. 5.A B C D K F G
[41] Fig. 6.G E C K H F L D M N A O B Z
[42] Pag. 82.TAB. IX.Fig. 1.AMO FNP B G C H D K L
[43] Fig. 2.A C E F B D
[44] Fig. 3.C B e N L m E O M D f F A
[45] Fig. 4.C B E G F D f H b A
[46] Fig. 5.C V B E S Δ M O Λ H Φ G Π T N P I
[47] Pag. 86.TAB. X.Fig. 1.D C N F X B V P Δ Σ S M Λ Q Γ T Π Ξ Y G H E I R Φ O A Θ
[48] Fig. 2.D C F B P Θ S O N Q L Δ K Γ T Λ Π Σ Y Ψ Ξ G H E I ζ η X V R Ω A M Θ
[Figure 49]
[50] Pag. 92.TAB. XIFig. 1.D C F E B L H I K A G
[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
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          <head xml:id="echoid-head66" xml:space="preserve">PROPOSITIO XXI.</head>
          <note position="left" 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>
          <p style="it">
            <s xml:id="echoid-s1676" xml:space="preserve">SI mobile deſcendat continuato motu per quælibet
              <lb/>
            plana inclinata contigua, ac rurſus ex pari al-
              <lb/>
            titudine deſcendat per plana totidem contigua, ita
              <lb/>
            comparata ut ſingula altitudine reſpondeant ſingu-
              <lb/>
            lis priorum planorum, ſed majori quam illa ſint
              <lb/>
            inclinatione. </s>
            <s xml:id="echoid-s1677" xml:space="preserve">Dico tempus deſcenſus per minus in-
              <lb/>
            clinata, brevius eſſe tempore deſcenſus per magis
              <lb/>
            inclinata.</s>
            <s xml:id="echoid-s1678" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1679" xml:space="preserve">Sint ſeries duæ planorum inter easdem parallelas horizon-
              <lb/>
              <note position="left" xlink:label="note-0114-02" xlink:href="note-0114-02a" xml:space="preserve">TAB. IX.
                <lb/>
              Fig. 1.</note>
            tales comprehenſæ A B C D E, F G H K L, atque ita ut
              <lb/>
            bina quæque ſibi correſpondentia plana utriusque ſeriei iisdem
              <lb/>
            parallelis horizontalibus includantur; </s>
            <s xml:id="echoid-s1680" xml:space="preserve">unumquodque vero ſeriei
              <lb/>
            F G H K L magis inclinatum ſit ad horizontem quam pla-
              <lb/>
            num ſibi altitudine reſpondens ſeriei A B C D E. </s>
            <s xml:id="echoid-s1681" xml:space="preserve">Dico bre-
              <lb/>
            viori tempore abſolvi deſcenſum per A B C D E, quam
              <lb/>
            per F G H K L.</s>
            <s xml:id="echoid-s1682" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1683" xml:space="preserve">Nam primo quidem tempus deſcenſus per A B, brevius
              <lb/>
            eſſe conſtat tempore deſcenſus per F G, quum ſit eadem
              <lb/>
            ratio horum temporum quæ rectarum A B ad F G ,
              <note symbol="*" position="left" xlink:label="note-0114-03" xlink:href="note-0114-03a" xml:space="preserve">Prop. 7.
                <lb/>
              huj.</note>
            A B minor quam F G, propter minorem inclinationem.
              <lb/>
            </s>
            <s xml:id="echoid-s1684" xml:space="preserve">Producantur jam ſurſum rectæ C B, H G, occurrantque
              <lb/>
            horizontali A F in M & </s>
            <s xml:id="echoid-s1685" xml:space="preserve">N. </s>
            <s xml:id="echoid-s1686" xml:space="preserve">Itaque tempus per B C poſt
              <lb/>
            A B, æquale eſt tempori per eandem B C poſt M B, cum
              <lb/>
            in puncto B eadem celeritas contingat, ſive per A B, ſive
              <lb/>
            per M B deſcendenti . </s>
            <s xml:id="echoid-s1687" xml:space="preserve">ſimiliterque tempus per G H
              <note symbol="*" position="left" xlink:label="note-0114-04" xlink:href="note-0114-04a" xml:space="preserve">Prop. 6.
                <lb/>
              huj.</note>
            F G, æquale erit tempori per eandem G H poſt N G. </s>
            <s xml:id="echoid-s1688" xml:space="preserve">Eſt
              <lb/>
            autem tempus per B C poſt M B ad tempus per G H poſt
              <lb/>
            N G, ut B C ad G H longitudine, ſive ut C M ad H N,
              <lb/>
            cum hanc rationem habeant & </s>
            <s xml:id="echoid-s1689" xml:space="preserve">tempora per totas M C, N H,
              <lb/>
            & </s>
            <s xml:id="echoid-s1690" xml:space="preserve">per partes M B, N G , ideoque etiam tempora reliqua.</s>
            <s xml:id="echoid-s1691" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0114-05" xlink:href="note-0114-05a" xml:space="preserve">Prop. 7.
                <lb/>
              huj.</note>
            Eſtque B C, minor quam G H propter minorem inclina-
              <lb/>
            tionem. </s>
            <s xml:id="echoid-s1692" xml:space="preserve">Patet igitur tempus per B C poſt M B ſive </s>
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