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

Table of figures

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[81] Fig. 4.N Q K C Q D L R E P F A Q G M Q Q H B Q
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[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
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[83] Fig. 2.X C D A T E R I Q L S N K P B Y
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[84] Fig. 3.F G K C D I E M A B D
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[85] Fig. 4.D K E F L B A H G C E
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[86] Fig. 5.D C K L F E A G H D B
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[87] Fig. 6.C D K F L E H G A D B
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[88] Pag. 142.TAB. XX.Fig. 1.D L F K A E G H C L K F D B
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[89] Fig. 2.D F K L C H E G A K F L D B
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[90] Fig. 3.L D C A E H G B L D
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[91] Fig. 4.D L C E A X V G H L D B
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[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
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[93] Fig. 6.K E A H C L D F G B
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[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
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[95] Fig. 3.F A D E B C G H
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[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
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[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
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[98] Fig. 1.F H A E G B C
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[99] Fig. 3.C B A E D
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[100] Fig. 4.E F E D D D V O B A N C K H
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[101] Fig. 5.D D D E F E B A C H K
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[102] Pag. 160.Fig. 1.F D D @ N A L C H K M
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[103] Fig. 2.D D D F B A L C H K
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[104] Fig. 3.C A B
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[105] Fig. 4.B A K C E D G
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[106] G D E C A K B
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[107] G D K C A B
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[108] Fig. 5.K B K A C E D F
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[109] Fig. 6.Q B Q O N A C E D R P F
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[110] Pag. 164.Fig. 1.G B O N C R P F
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12981HOROLOG. OSCILLATOR. etiam V A ad A Φ longitudine, ut F A ad A H. Ratio
11De motu
IN CY-
CLOIDE. itaque M N ad O P, eadem erit quæ F A ad A H, hoc
eſt, propter triangula ſimilia F A H, F H Σ, eadem quæ
F H ad H Σ, ut dictum fuit. Itaque dicta ratio temporis
per M N ad tempus per O P, componitur ex rationibus
F X ad F H & F H ad H Σ, ideoque eadem erit quæ
F X ſive X H ad H Σ. Sicut autem radius X H ad H Σ,
ita eſt tangens S T ad rectam Q R; hoc enim facile perſpi-
citur. Igitur tempus motus qualem diximus per M N, ad
tempus per O P conſtat eſſe ſicut S T ad Q R. quod erat
demonſtrandum.
PROPOSITIO XXIV.
SIt rurſus ut in præcedenti propoſitione Cyclois
22TAB. X.
Fig. I. A B C, cujus vertex A deorſum ſpectet, axis
A D ad borizontem erectus ſit; & ſumpto in ea
quovis puncto B, ducatur inde deorſum recta B Θ
quæ Cycloidem tangat, occurratque rectæ horizon-
tali A Θ in Θ: recta vero B F ad axem perpendi-
cularis agatur, & ſuper F A deſcribatur ſemicir-
culus F H A. Deinde alia recta G E, parallela
F B, ſecet Cycloidem in E, rectam B Θ in I, cir-
cumferentiam F H A in H, & denique axem D A
in G.
Dico tempus deſcenſus per arcum Cycloidis B E,
eſſe ad tempus per tangentem B I cum celeritate di-
midia ex B Θ, ſicut arcus F H ad rectam F G.
Si enim hoc verum non eſt, habebit tempus per arcum
B E ad dictum tempus per B I, vel majorem rationem quam
arcus F H ad rectam F G vel minorem. Habeat primo, ſi
fieri poteſt, majorem.

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