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

Table of figures

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[121] Pag. 170.TAB. XXVI.Fig. 1.Ω O Ω A Z R F R N E N R G S V P Φ Δ V B D K C
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[122] Fig. 2.L O A V P Φ Δ V B E C S H D
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[123] Fig. 3.F G E G P A P K K L B D B S
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[Figure 124]
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[Figure 125]
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[126] Pag. 188.TAB.XXVII.Fig. 1.O V VA M N D N B O E CE A G B D C F
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[127] Fig. 2.S Z G F H Y
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[128] Fig. 3.D A D M T C
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[129] Fig. 4.A E N D C
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[130] Fig. 5.K D B G A F E H
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[Figure 131]
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[Figure 132]
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[Figure 133]
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[Figure 134]
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[Figure 135]
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[Figure 136]
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[137] Pag. 248.TAB. XXVIII.Fig. 1.B A E D H F I G
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[138] Fig. 2.M B A E D L N H F O I G
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[139] Fig. 4.O P M I B G Q N L R H A F D
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[140] Fig. 5.B A D L N H I
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[141] Fig. 3.a B c A C
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[142] Fig. 7.D A C B E G
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[143] Fig. 6.D A G B
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[Figure 144]
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[145] Pag. 262.TAB.XXIX.Fig. 1.P E O D C Q H M G N B S R T F
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[146] Fig. 4.C A H N E P B L K I
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[147] Fig. 3.N Q O P T
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[148] Fig. 2.F D I C A B H K E R S G
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[149] Fig. 5.L M C M E H O D P I
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[150] Pag. 268.TAB. XXX.a a I L K M g N l O c k P Q T S Q V T S R f f e n l d h g b
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12176CHRISTIANI HUGENII
PROPOSITIO XXI.
11De motu
IN Cy-
CLOIDE.
SI mobile deſcendat continuato motu per quælibet
plana inclinata contigua, ac rurſus ex pari al-
titudine deſcendat per plana totidem contigua, ita
comparata ut ſingula altitudine reſpondeant ſingu-
lis priorum planorum, ſed majori quam illa ſint
inclinatione. Dico tempus deſcenſus per minus in-
clinata, brevius eſſe tempore deſcenſus per magis
inclinata.
Sint ſeries duæ planorum inter easdem parallelas horizon-
22TAB. IX.
Fig. 1. tales comprehenſæ A B C D E, F G H K L, atque ita ut
bina quæque ſibi correſpondentia plana utriusque ſeriei iisdem
parallelis horizontalibus includantur; unumquodque vero ſeriei
F G H K L magis inclinatum ſit ad horizontem quam pla-
num ſibi altitudine reſpondens ſeriei A B C D E. Dico bre-
viori tempore abſolvi deſcenſum per A B C D E, quam
per F G H K L.
Nam primo quidem tempus deſcenſus per A B, brevius
eſſe conſtat tempore deſcenſus per F G, quum ſit eadem
ratio horum temporum quæ rectarum A B ad F G , 33Prop. 7.
huj. A B minor quam F G, propter minorem inclinationem.
Producantur jam ſurſum rectæ C B, H G, occurrantque
horizontali A F in M & N. Itaque tempus per B C poſt
A B, æquale eſt tempori per eandem B C poſt M B, cum
in puncto B eadem celeritas contingat, ſive per A B, ſive
per M B deſcendenti . ſimiliterque tempus per G H 44Prop. 6.
huj. F G, æquale erit tempori per eandem G H poſt N G. Eſt
autem tempus per B C poſt M B ad tempus per G H poſt
N G, ut B C ad G H longitudine, ſive ut C M ad H N,
cum hanc rationem habeant & tempora per totas M C, N H,
& per partes M B, N G , ideoque etiam tempora reliqua. 55Prop. 7.
huj. Eſtque B C, minor quam G H propter minorem inclina-
tionem. Patet igitur tempus per B C poſt M B ſive

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