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

Table of figures

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[71] Fig. 2.H A K B R P F L O M N D Q G E
Page: 185
[72] Fig. 3.Y H A S Z X T K B V L P F O C M N D G E
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[Figure 73]
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[74] Pag. 122TAB. XVII.Fig. 1.S A P B R M D I
Page: 196
[75] Fig. 2.H S Z K B C M D
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[76] Fig. 3.P S Z M A B K D H
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[77] Fig. 4.H C A E D F B G
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[78] Pag. 128.TAB. XVIII.Fig. 1.A G C B D E H F K I M
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[79] Fig. 2.A C G B E F D H M N O P
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[80] Fig. 3.D L Q A G Q M R E P. Q B F N H Q C Q K Q
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[81] Fig. 4.N Q K C Q D L R E P F A Q G M Q Q H B Q
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[82] Pag. 136.TAB. XIX.Fig. 1.D C X B Y E R I Q L S N K P A TF G Y M H O
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[83] Fig. 2.X C D A T E R I Q L S N K P B Y
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[84] Fig. 3.F G K C D I E M A B D
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[85] Fig. 4.D K E F L B A H G C E
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[86] Fig. 5.D C K L F E A G H D B
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[87] Fig. 6.C D K F L E H G A D B
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[88] Pag. 142.TAB. XX.Fig. 1.D L F K A E G H C L K F D B
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[89] Fig. 2.D F K L C H E G A K F L D B
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[90] Fig. 3.L D C A E H G B L D
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[91] Fig. 4.D L C E A X V G H L D B
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[92] Fig. 5.T F K A V Q Z D E O B X P C Y f I G M L R N S H
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[93] Fig. 6.K E A H C L D F G B
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[94] Pag. 154.TAB. XXI.Fig. 1.G E G O A K L Q Q M M H F R R N N B D L K C P S V X Z Y X V T
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[95] Fig. 3.F A D E B C G H
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[96] Fig. 2.G E Ω O Ω S A S Q Q M M R R N X F N V P Φ Δ V B C K D Z
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[97] Pag. 156.Fig. 2.S F Z V O V L A Q Q M M I R R N N X T X K E K Y H G P B C D
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[98] Fig. 1.F H A E G B C
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[99] Fig. 3.C B A E D
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[100] Fig. 4.E F E D D D V O B A N C K H
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10064CHRISTIANI HUGENII
Sint plana inclinata A C, A D quorum eadem elevatio
11De de-
SCENSU
GRAVIUM. A B. dico tempus deſcenſus per planum A C ad tempus
22TAB. V.
Fig. 5. deſcenſus per A D eſſe ut longitudo A C ad A D. Eſt enim
tempus per A C æquale tempori motus æquabilis per ean-
dem A C, cum celeritate dimidia ejus quæ acquiritur caſu
per A C . Similiter tempus per A D eſt æquale 33Prop. 1.
huj. motus æquabilis per ipſam A D, cum dimidia celeritate ejus
quæ acquiritur caſu per A D. Eſt autem hæc dimidia celeri-
tas illi dimidiæ celerirati æqualis , ideoque dictum 44Prop.
præced. motus æquabilis per A C, ad tempus motus æquabilis per A D,
erit ut A C ad A D. Ergo & tempora ſingulis iſtis æqualia,
nimirum tempus deſcenſus per A C, ad tempus deſcenſus
per A D, eandem rationem habebunt, nempe quam A C
ad A D. quod erat demonſtrandum.
Eodem modo oſtendetur & tempus deſcenſus per A C, ad
tempus caſus per A B perpendicularem, eſſe ut A C ad
A B longitudine.
PROPOSITIO VIII.
SI ex altitudine eadem deſcendat mobile conti-
nuato motu per quotlibet ac quælibet plana con-
tigua, utcunque inclinata; ſemper eandem in fine
velocitatem acquiret, quæ nimirum æqualis erit ei
quam acquireret cadendo perpendiculariter ex pa-
ri altitudine.
Sint plana contigua A B, B C, C D, quorum terminus
55TAB VI.
Fig. 1. A, ſupra horizontalem lineam D F per infimum terminum
D ductam, altitudinem habeat quanta eſt perpendicularis E F.
deſcendatque mobile per plana illa ab A uſque in D. Di-
co in D eam velocitatem habiturum quam, ex E cadens, ha-
beret in F.
Producta enim C B occurrat rectæ A E in G. Itemque
D C producta occurrat eidem A E in E. Quoniam

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