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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15295HOROLOG. OSCILLATOR.
Sunto lineæ A B C, A D E, in partem unam inflexæ,
11De linea-
RUM CUR-
VARUM
EVOLUTIO-
NE.& quarum uttraque in eaſdem partes cava exiſtat, habeant-
que communem terminum A punctum. Omnes autem rectæ
tangentes lineam A B C, velut B D, C E, occurrant
22TAB. XII.
Fig. 4. lineæ A D E ad angulos rectos. Dico evolutione ipſius
A B C, à termino A incepta, deſcribi A D E.
Si enim fieri poteſt, deſcribatur dicta evolutione alia
quædam curva A F G. Ergo lineæ rectæ quælibet, evolu-
tam A B C tangentes, ut B D, C E, occurrent ipſi A F G
ad angulos rectos, puta in F & G. Sed eædem 33Prop. 1.
huj. etiam ad rectos angulos occurrere ponuntur lineæ A D E.
Sunt igitur lineæ curvæ A D E, A F G, eodem puncto
A terminatæ, inque partem unam flexæ, & ambæ in ean-
dem partem cavæ, quippe utraque in eandem atque ipſa
A B C; nam de linea A D E conſtat ex hypotheſi, de
A F G vero ex propoſitione prima hujus; & omnes quæ
uni earum occurrunt ad angulos rectos, etiam alteri ſimili-
ter occurrunt. quod quidem fieri non poſſe antea oſtenſum
eſt. Quare conſtat ipſam A D E deſcriptum iri 44Prop. 3.
huj. lineæ A B C. quod erat demonſtrandum.
PROPOSITIO V.
SI Cycloidem recta linea in vertice contingat, ſu-
per qua, tanquam baſi, alia cyclois priori ſimi-
lis & æqualis conſtituatur, initium ſumens à pun-
cto dicti verticis; recta quælibet inferiorem cycloi-
dem tangens, occurret ſuperioris portioni, ſibi ſu-
perpoſitæ, ad angulos rectos.
Tangat cycloidem A B C in vertice A recta A G, ſuper
55TAB. XVI.
Fig. 1. qua, tanquam baſi, ſimilis alia cyclois conſtituta ſit A E F,
cujus vertex F. Cycloidem autem A B C tangat recta B K
in B. Dico eam productam occurrere cycloidi A E F ad an-
gulos rectos.
Deſcribatur enim circa A D, axem cycloidis A B C,

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