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

Table of figures

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[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]
Page: 359
[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
Page: 370
[147] Fig. 3.N Q O P T
Page: 370
[148] Fig. 2.F D I C A B H K E R S G
Page: 370
[149] Fig. 5.L M C M E H O D P I
Page: 370
[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
Page: 379
[151] Pag. 276.TAB.XXXI.Fig. 2.a a m f k b e @ b a g a f b b h
Page: 390
[152] Fig. 1.h g k h d a b c f e l
Page: 390
[153] Pag. 286.TAB.XXXII.Fig. 1.A E C E E D B G
Page: 403
[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
Page: 428
[165] Fig. 6.T G D H B E M L N C K I S P F V R Q O A
Page: 428
[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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14288CHRISTIANI HUGENII
Quod ſi tota cycloidis cavitas perfecta ponatur, conſtat
11De motu
IN CY-
CLOIDE. mobile, poſtquam per arcum B A deſcenderit, inde conti-
nuato motu per alterum ipſi æqualem arcum aſcenſurum 22Prop. 9.
huj. atque in eo tantundem temporis atque deſcendendo conſum-
pturum . Deinde rurſus per A ad B perventurum, ac 33Prop. 11.
huj. larum ejusmodi reciprocationum, in magnis parvisve cycloi-
dis arcubus peractarum, tempora fore ad tempus caſus per-
pendicularis per axem D A, ſicut circumferentia circuli tota
ad diametrum ſuam.
PROPOSITIO XXVI.
Iisdem poſitis, ſi ducatur inſuper recta horizonta-
44TAB. XI.
Fig. 1. lis H I quæ arcum B A ſecet in I, circumferen-
tiam vero F H A in H: dico tempus per arcum
B I, ad tempus per arcum I A poſt B I, eam ra-
tionem habere quam arcus circumferentiæ F H ad
H A.
Occurrat enim recta H I tangenti B G in K, axi D A in
L. Eſt itaque tempus per arcum B A, ad tempus motus æ-
quabilis per B G cum celeritate dimidia ex B G, ſicut arcus
F H A ad rectam F A . Tempus autem dicti motus 55Prop. 24.
huj. bilis per B G, eſt ad tempus motus æquabilis per B K, cum
eadem celeritate dimidia ex B G, ſicut B G ad B K longi-
tudine, hoc eſt, ſicut F A ad F L. Et rurſus tempus mo-
tus æquabilis, cum dicta celeritate, per B K, ad tempus
per arcum B I, ſicut F L ad arcum F H . Igitur ex 66Prop. 24.
huj. quo erit tempus per arcum B A ad tempus per B I, ut ar-
cus F H A ad F H. Et dividendo, & convertendo, tem-
pus per B I, ad tempus per I A poſt B I, ut arcus F H
ad H A. quod erat demonſtrandum.

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