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

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

Table of figures

[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

[122] Fig. 2.L O A V P Φ Δ V B E C S H D

[123] Fig. 3.F G E G P A P K K L B D B S

[Figure 124]

[Figure 125]

[126] Pag. 188.TAB.XXVII.Fig. 1.O V VA M N D N B O E CE A G B D C F

[127] Fig. 2.S Z G F H Y

[128] Fig. 3.D A D M T C

[129] Fig. 4.A E N D C

[130] Fig. 5.K D B G A F E H

[Figure 131]

[Figure 132]

[Figure 133]

[Figure 134]

[Figure 135]

[Figure 136]

[137] Pag. 248.TAB. XXVIII.Fig. 1.B A E D H F I G

[138] Fig. 2.M B A E D L N H F O I G

[139] Fig. 4.O P M I B G Q N L R H A F D

[140] Fig. 5.B A D L N H I

[141] Fig. 3.a B c A C

[142] Fig. 7.D A C B E G

[143] Fig. 6.D A G B

[Figure 144]

[145] Pag. 262.TAB.XXIX.Fig. 1.P E O D C Q H M G N B S R T F

[146] Fig. 4.C A H N E P B L K I

[147] Fig. 3.N Q O P T

[148] Fig. 2.F D I C A B H K E R S G

[149] Fig. 5.L M C M E H O D P I

[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

273171HOROLOG. OSCILLATOR. Cujus quadratum auferendo à rectangulo H G F, quod erat
11De centro
OSCILLA-
TIONIS. {3/20} quadrati B C, fiet rectangulum G F H = {3/20} b b - {1b4/4 q q}. Hoc
autem rectangulum, multiplex per numerum particularum
ſemiconi A B C, æquatur quadratis diſtantiarum à plano
M D O. At quadratis diſtantiarum à plano N D æquantur,
ut in cono, {3/80} quadrati A B, ſive {3/80} a a, multiplices per
numerum particularum ſemiconi A B C. Itaque, totum ſpa-
tium applicandum, æquabitur hic {3/80} a a + {3/20} b b - {1 b 4/4 q q}.

Unde quidem centrum agitationis invenitur in omni ſuſpen-
ſione ſemiconi, dummodo ab axe qui ſit parallelus baſi trianguli
à ſectione A B. Notandum vero, cum figura S Z Y ſit ignotæ
prorſus naturæ, ſubcentricam tamen G H, cunei ſuper ipſa ab-
ſciſſi plano per S Y, hinc inveniri. Nam, quia rectangulum H G F
æquale erat {3/20} b b, ſive quadrati B C, & G F æqualis {1b b/2 q},
fit inde G H æqualis {3/10} q.

Porro, etiam ſemicylindri, & ſemiconoidis parabolici,
centra agitationis inveniri poſſunt, atque aliorum inſuper ſe-
miſolidorum; quæ aliis inveſtiganda relinquimus.

Quemadmodum autem in figuris planis, ita & hic in ſo-
lidis figuris locum habet, quod de obliquarum centris agi-
tationis illic diximus, quæ veluti luxatione rectarum conſti-
tuuntur, quarum centra oſcillationis non differunt à centris
oſcillationis rectarum. Sic, ſi coni duo fuerunt A B C, A F G,
22TAB. XXVII.
Fig. 1. alter rectus, alter ſcalenus; quorum & diametri & baſes
æquales; hi ex vertice ſuſpenſi, vel à quibuſcunque axibus,
æqualiter à centris eorum gravitatis diſtantibus, iſochroni
erunt; dummodo axis, unde conus ſcalenus ſuſpenſus eſt,
rectus ſit ad planum trianguli per diametrum, quod planum
baſi eſt ad angulos rectos.

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