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

Table of figures

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[111] Fig. 2.G B R F
Page: 259
[112] Fig. 3.A E C F B
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[113] Fig. 4.A C E D F B
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[114] Fig. 6.A B C G D L
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[115] Fig. 5.H A O M R L N
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[116] Pag. 166.TAB.XXV.Fig. 1.A O C G D L N
Page: 264
[117] Fig. 2.A B C G D L N
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[118] Fig. 3.O C D A K B N E F C D L M
Page: 264
[119] Fig. 4.O A C D F E K B N C L D M
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[120] Fig. 5.E A G F H K B D C
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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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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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