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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9660CHRISTIANI HUGENII
11De de-
SOENSU
GRAVIUM.
PROPOSITIO V.
SPatium peractum certo tempore, à gravi è quie-
te caſum inchoante, dimidium eſſe ejus ſpatii
quod pari tempore transiret motu æquabili, cum
celeritate quam acquiſivit ultimo caſus momento.
Sit tempus deſcenſus totius A H, quo tempore mobile
22TAB. V.
Fig. 3. peregerit ſpatium quoddam cujus quantitas deſignetur plano P.
ductaque H L perpendiculari ad A H, longitudinis cujus-
libet, referat illa celeritatem in fine caſus acquiſitam. Dein-
de completo rectangulo A H L M, intelligatur eo notari
quantitas ſpatii quod percurreretur tempore A H, cum ce-
leritate H L. Oſtendendum eſt igitur planum P dimidium
eſſe rectanguli M H, hoc eſt, ducta diagonali A L, æqua-
le triangulo A H L.
Si planum P non eſt æquale triangulo A H L, ergo aut
minus eo erit, aut majus. Sit primo, ſi fieri poteſt, pla-
num P minus triangulo A H L. dividatur autem A H in tot
partes æquales A C, C E, E G & c. ut, circumſcriptâ tri-
angulo A H L figurâ è rectangulis quorum altitudo ſingulis
diviſionum ipſius A H partibus æquetur, ut ſunt rectangula
B C, D E, F G, alterâque eidem triangulo inſcriptâ, ex
rectangulis ejusdem altitudinis, ut ſunt K E, O G & c. ut,
inquam, exceſſus illius figuræ ſupra hanc, minor ſit exceſ-
ſu trianguli A H L ſupra planum P. hoc enim fieri poſſe
perſpicuum eſt, cum totus exceſſus figuræ circumſcriptæ ſu-
per inſcriptam æquetur rectangulo infimo, baſin habenti H L.
Erit itaque omnino exceſſus ipſius trianguli A H L ſupra
figuram inſcriptam minor quam ſupra planum P, ac proin-
de figura triangulo inſcripta major plano P. Porro autem,
quum recta A H tempus totius deſcenſus referat, ejus par-
tes æquales A C, C E, E G, æquales temporis illius par-
tes referent. Cumque celeritates mobilis cadentis creſcant
33Prop. I.
huj. eadem proportione qua tempora deſcenſus ; ſitque

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