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

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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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[141] Fig. 3.a B c A C
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[142] Fig. 7.D A C B E G
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[143] Fig. 6.D A G B
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[Figure 144]
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[145] Pag. 262.TAB.XXIX.Fig. 1.P E O D C Q H M G N B S R T F
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[146] Fig. 4.C A H N E P B L K I
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[147] Fig. 3.N Q O P T
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[148] Fig. 2.F D I C A B H K E R S G
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[149] Fig. 5.L M C M E H O D P I
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[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
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[151] Pag. 276.TAB.XXXI.Fig. 2.a a m f k b e @ b a g a f b b h
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[152] Fig. 1.h g k h d a b c f e l
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[153] Pag. 286.TAB.XXXII.Fig. 1.A E C E E D B G
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[154] Fig. 2.H N K M
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[155] Fig. 4.B A D C
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[156] Fig. 5.A E E C H D G B
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[157] Fig. 6.A C C C C H G K E F D D D D
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[158] Fig. 3.G F F B D D C D A F A E E H
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[159] Fig. 7.K L R Z Y H V N S P A C E B X T M G Q O
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[160] Pag. 308.TAB.XXXIII.Fig. 1.P F Q K H L R G B E C N O 3 A 2
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200125HOROLOG. OSCILLATOR.
PROPOSITIO II.
11De centro
OSCILLA-
TIONIS.
TAB. XVIII.
Fig. 1.
POſitis quæ prius, ſi pondera omnia A, B, C,
ſint æqualia; dico ſummam omnium perpendi-
cularium A D, B E, C F, æquari perpendicula-
ri, à centro gravitatis ductæ, G H, multiplici
ſecundum ponderum numerum.
Quum enim ſumma productorum, à ponderibus ſingulis
in ſuas perpendiculares, æquetur producto ex G H in pon-
dera omnia; ſitque hìc, propter ponderum æqualitatem,
ſumma illa productorum æqualis producto ex uno pondere
in ſummam omnium perpendicularium; itemque productum
ex G H in pondera omnia, idem quod productum ex pon-
dere uno in G H, multiplicem ſecundum ponderum nume-
rum: patet ſummam perpendicularium neceſſario jam æquari
ipſi G H, multiplici ſecundum ponderum numerum. quod
erat demonſtrandum.
PROPOSITIO III.
SI magnitudines quædam deſcendant omnes, vel
aſcendant, licet inæqualibus intervallis; alti-
tudines deſcenſus vel aſcenſus cujusque, in ipſam
magnitudinem ductæ, efficient ſummam producto-
rum æqualem ei, quæ fit ex altitudine deſcenſus
vel aſcenſus centri gravitatis omnium magnitudi-
num, ducta in omnes magnitudines.
Sunto magnitudines A, B, C, quæ ex A, B, C, deſcen-
22TAB. XVIII.
Fig. 2. dant in D, E, F; vel ex D, E, F, aſcendant in A, B, C.
Sitque earum centrum gravitatis omnium, dum ſunt in
A, B, C, eadem altitudine cum puncto G; cum vero ſunt in
D, E, F, eadem altitudine cum puncto H. Dico ſummam
productorum ex altitudine A D in A, B E in B, C F in C,
æquari producto ex G H in omnes A, B, C.

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