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

Table of figures

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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
Page: 271
[122] Fig. 2.L O A V P Φ Δ V B E C S H D
Page: 271
[123] Fig. 3.F G E G P A P K K L B D B S
Page: 271
[Figure 124]
Page: 286
[Figure 125]
Page: 287
[126] Pag. 188.TAB.XXVII.Fig. 1.O V VA M N D N B O E CE A G B D C F
Page: 292
[127] Fig. 2.S Z G F H Y
Page: 292
[128] Fig. 3.D A D M T C
Page: 292
[129] Fig. 4.A E N D C
Page: 292
[130] Fig. 5.K D B G A F E H
Page: 292
[Figure 131]
Page: 297
[Figure 132]
Page: 316
[Figure 133]
Page: 319
[Figure 134]
Page: 322
[Figure 135]
Page: 336
[Figure 136]
Page: 353
[137] Pag. 248.TAB. XXVIII.Fig. 1.B A E D H F I G
Page: 355
[138] Fig. 2.M B A E D L N H F O I G
Page: 355
[139] Fig. 4.O P M I B G Q N L R H A F D
Page: 355
[140] Fig. 5.B A D L N H I
Page: 355
[141] Fig. 3.a B c A C
Page: 355
[142] Fig. 7.D A C B E G
Page: 355
[143] Fig. 6.D A G B
Page: 355
[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
Page: 370
[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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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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