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

Table of figures

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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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[111] Fig. 2.G B R F
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[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
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[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
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[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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10768CHRISTIANI HUGENII nis intercepto, & in eandem partem cavo. Ergo & F D
11De de-
SCENSU
GRAVIUM. eodem arcu B D major erit: quare conſtat propoſitum.
PROPOSITIO XIII.
IIsdem poſitis, ſi recta A B occurrat ipſi D G in-
22TAB. VI.
Fig. 6. tra circulum; Dico arcum B D, rectis G D,
A B interceptum, majorem eſſe recta D F.
Jungatur enim D C & ducatur arcui D B ſubtenſa D B.
Quoniam ergo angulus A B D æqualis A C D, hoc eſt,
angulo A D G; angulus autem D F B major angulo A D F,
ſive A D G; erit idem D F B etiam major D B F. Ergo
in triangulo D F B latus D B majus latere D F; unde mul-
to magis arcus D B ſuperabit eandem D F. Quare conſtat
propoſitum.
PROPOSITIO XIV.
SIt cyclois A B C cujus baſis A C axis B D.
Quomodo autem generetur ex definitione &
deſcriptione mechanica ſuperius traditis ſatis ma-
nifeſtum arbitror. Et circa axem B D, circulus
deſcriptus ſit B G D, & à quolibet puncto E in cy-
cloide ſumpto agatur E F baſi A C parallela, quæ
occurrat axi B D in F, ſecetque circumferentiam
B G D in G, Dico rectam G E arcui G B æqua-
lem eſſe.
Deſcribatur enim per E punctum circulus L E K ipſi
B G D æqualis, quique tangat baſin cycloidis in K, & du-
catur diameter K L. Eſt igitur recta A K arcui E K æqua-
lis; ſed tota A D æqualis ſemicircumferentiæ K E L; ergo
K D æqualis arcui E L ſive G B. Eſt autem K D ſive N F
æqualis E G, quoniam E N æqualis G F, & communis
utrique N G. Ergo conſtat & G E æqualem eſſe arcui G B.

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