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

Table of figures

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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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[161] Fig. 8.R G M K N D B V C A
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[162] Fig. 7.R d D G g B h H E V C u A c
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[163] Fig. 2.B F G C H A K D E
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[164] Fig. 4.A B G F E C D
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[165] Fig. 6.T G D H B E M L N C K I S P F V R Q O A
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[166] Fig. 3.A E G B D F C
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[167] Fig. 5.N K F E C B A H L V W R G
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[168] Fig. 9.Z R A X H C B D M K S Q G
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12779HOROLOG. OSCILLATOR. A D, erunt anguli ad circumferentiam ipſis inſiſtentes,
11De motu
IN Cy-
CLOIDE. E D A, A B D æquales. Itaque in triangulis A B D,
A D F, æquales anguli A B D, A D F. Communis au-
tem utrique eſt angulus ad A. Ergo dicti trianguli ſimiles
erunt, ideoque B A ad A D ut A D ad A F.
Sit jam punctum interſectionis f extra circulum, & du-
catur b H parallela D E, quæ occurrat rectæ A D in H.
Itaque ſecundum jam demonſtrata erit ut D A ad A b, ita
A b ad A H, hoc eſt, ita A f ad A D: Ideoque rurſus
proportionales erunt A f, A D, A b. Quare conſtat propo-
ſitum.
PROPOSITIO XXIII.
SIt Cyclois A B C, cujus vertex A deorſum con-
22TAB. IX.
Fig. 5. verſus ſit, axe A D ad perpendiculum erecto;
ſumptoque in ea quolibet puncto B, ducatur inde
deorſum recta B I quæ Cycloidem tangat, terminetur-
que recta horizontali A I. recta vero B F ad axem
perpendicularis agatur, & diviſa bifariam F A in
X, ſuper ea deſcribatur ſemicirculus F H A. Du-
ctâ deinde per punctum quodlibet G in curva B A
ſumptum, rectâ Σ G parallelâ B F, quæ circum-
ferentiæ F H A occurrat in H, axi A D in Σ, in-
telligantur per puncta G & H rectæ tangentes u-
triusque curvæ, earumque tangentium partes iis-
dem duabus horizontalibus M S, N T interceptæ
ſint M N, S T. Iisdemque rectis M S, N T in-
cludantur tangentis B I pars O P, & axis D A
pars Q R.
Quibus ita ſe habentibus, dico tempus quo gra-
ve percurret rectam M N, celeritate

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