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

Table of figures

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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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[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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247157HOROLOG. OSCILLATOR. F A, dabit diſtantiam A K, qua centrum oſcillationis K in-
11De centro
OSCILLA-
TIONIS. ferius eſt centro gravitatis A.
Si vero F A ſit axis figuræ B C D, poteſt, pro cuneo
22TAB. XXIII.
Fig. 1. abſciſſo per B D ſuper figura tota, adhiberi cuneus ſuper
figura dimidia D B M abſciſſus plano per D M. Nam, ſi cunei
hujus ſubcentrica ſuper D M ſit O A, diſtantia vero centri gr.
figuræ planæ D B M ab eadem D M ſit N A, æquale eſſe
conſtat rectangulum O A N rectangulo B A L . 33Prop. 11.
huj. rectangulum O A N, additum rectangulo D A H, conſti-
tuet quoque planum applicandum ad diſtantiam F A, ut
fiat diſtantia A K.
Et horum quidem manifeſta eſt demonſtratio ex præce-
dentibus, quippe cum rectangula D A H, B A L, vel
D A H, O A N, multiplicia ſecundum numerum particu-
larum figuræ, æqualia ſint quadratis diſtantiarum à centro
gravitatis A; ſive, quod idem hic eſt, ab axe gravitatis axi
oſcillationis parallelo; ac proinde rectangula dicta, ad diſtan-
tiam F A applicata, efficiant longitudinem intervalli A K . 44Prop. 18.
huj.
Centrum oſcillationis Circuli.
Et in circulo quidem rectangula D A H, B A L, inter
ſe æqualia eſſe liquet, ſimulque efficere ſemiſſem quadrati à
ſemidiametro. Unde, ſi fiat ut F A ad ſemidiametrum A B,
ita hæc ad aliam, ejus dimidium erit diſtantia A K, à cen-
tro gravitatis ad centrum oſcillationis. Si igitur circulus ab
axe D, in circumferentia ſumpto, agitetur, erit D K æqua-
lis tribus quartis diametri D M.
Ad hunc modum & in ſequentibus figuris planis centra o-
ſcillationis quæſivimus, quæ ſimpliciter adſcripſiſſe ſufficiet-
Nempe,
Centrum oſcillationis Rectanguli.
In rectangulo omni, ut C B, ſpatium applicandum, ſive
55TAB. XXIII.
Fig. 3. rectangulum oſcillationis, invenitur æquale tertiæ parti qua-
drati à ſemidiagonio A C. Unde ſequitur, ſi

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