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

Table of figures

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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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[101] Fig. 5.D D D E F E B A C H K
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[102] Pag. 160.Fig. 1.F D D @ N A L C H K M
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[103] Fig. 2.D D D F B A L C H K
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[104] Fig. 3.C A B
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[105] Fig. 4.B A K C E D G
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[106] G D E C A K B
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[107] G D K C A B
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[108] Fig. 5.K B K A C E D F
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[109] Fig. 6.Q B Q O N A C E D R P F
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[110] Pag. 164.Fig. 1.G B O N C R P F
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[111] Fig. 2.G B R F
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[112] Fig. 3.A E C F B
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[113] Fig. 4.A C E D F B
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[114] Fig. 6.A B C G D L
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[115] Fig. 5.H A O M R L N
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[116] Pag. 166.TAB.XXV.Fig. 1.A O C G D L N
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[117] Fig. 2.A B C G D L N
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[118] Fig. 3.O C D A K B N E F C D L M
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[119] Fig. 4.O A C D F E K B N C L D M
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[120] Fig. 5.E A G F H K B D C
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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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