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

Table of figures

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[31] Fig. 5.A B F E D G C
Page: 109
[32] Fig. 6.A D G F B C
Page: 109
[33] Pag. 72.TAB. VII.Fig. 1.L B E N G F A K D C
Page: 116
[34] Fig. 2.A H L K M B E N Q P O C D
Page: 116
[35] Fig. 3.B F A K O N M E V L C H D
Page: 116
[36] Pag. 76.TAB. VIII.Fig. 1.O P E V D H C L M N A B F
Page: 123
[37] Fig. 2.A B C E H G F
Page: 123
[38] Fig. 3.D A B C E H G K F
Page: 123
[39] Fig. 4.A L C M B E G F
Page: 123
[40] Fig. 5.A B C D K F G
Page: 123
[41] Fig. 6.G E C K H F L D M N A O B Z
Page: 123
[42] Pag. 82.TAB. IX.Fig. 1.AMO FNP B G C H D K L
Page: 132
[43] Fig. 2.A C E F B D
Page: 132
[44] Fig. 3.C B e N L m E O M D f F A
Page: 132
[45] Fig. 4.C B E G F D f H b A
Page: 132
[46] Fig. 5.C V B E S Δ M O Λ H Φ G Π T N P I
Page: 132
[47] Pag. 86.TAB. X.Fig. 1.D C N F X B V P Δ Σ S M Λ Q Γ T Π Ξ Y G H E I R Φ O A Θ
Page: 139
[48] Fig. 2.D C F B P Θ S O N Q L Δ K Γ T Λ Π Σ Y Ψ Ξ G H E I ζ η X V R Ω A M Θ
Page: 139
[Figure 49]
Page: 143
[50] Pag. 92.TAB. XIFig. 1.D C F E B L H I K A G
Page: 148
[51] Fig. 2.E D A B C
Page: 148
[52] Fig. 3.E H C A D F G B
Page: 148
[53] Pag. 96.TAB. XII.Fig. 1.C E H A G K D B
Page: 155
[54] Fig. 2.N O L K B C M P G D A E F H
Page: 155
[55] Fig. 3.N M H G K O F L C D B E P A Q
Page: 155
[56] Fig. 4.A D F E G B C
Page: 155
[57] Pag. 104.TAB. XIII.Fig. 1.H E M A F K G B D
Page: 166
[58] Fig. 2.A F N E G B D
Page: 166
[59] Fig. 4.A G D C H E K F B
Page: 166
[60] Fig. 3.E B H X L D C A G D C
Page: 166
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page |< < (109) of 434 > >|
175109HOROLOG. OSCILLATOR. ſtabit ab A; interſectio vero rectarum B D, F E, quæ eſt
11De linea-
RUM CUR-
VARUM
EVOLUTIO-
NE. G, cadet ultra punctum D in recta B D. Nam concurrere
ipſas B D, F E neceſſe eſt, cum curvæ B F ad partem ca-
vam inſiſtant rectis angulis.
Quanto autem punctum F ipſi B propinquius fuerit, tanto
propius quoque puncta D, G & E convenire apparet; ideo-
que, ſi interſtitium B F infinite parvum intelligatur, tria
dicta puncta pro uno eodemque erunt habenda; ac præterea,
ductâ rectâ B H, quæ curvam in B tangat, eadem quoque
pro tangente in F cenſebitur. Sit B O parallela K L, &
in hanc perpendiculares cadant B K, F L: ſecetque F L
rectam B O in P, & ſint puncta notata M, N, in quibus
rectæ, B D, F E, occurrant ipſi K L. Quia igitur ratio
B G ad G M eſt eadem quæ B O ad M N, data hac dabi-
tur & illa; & quia recta B M datur magnitudine ac po-
ſitione, dabitur & punctum G in producta B M, ſive D
in curva C D E, quia G & D in unum convenire diximus.
Datur autem ratio B O ad M N, ſimpliciter quidem in
Cycloide, ubi primùm omnium illam inveſtigavimus, inve-
nimuſque duplam; in aliis vero curvis, quas hactenus exa-
minavimus, per duarum datarum rationum compoſitionem.
Nam quia ratio B O ad M N componitur ex rationibus B O
ad B P, ſive N H ad L H, & ex B P ſive K L ad M N;
patet, ſi rationes hæ utræque dentur etiam ex iis compoſi-
tam rationem B O ad M N datum iri. Illas vero dari in o-
mnibus curvis geometricis, in ſequentibus patebit; ac proin-
de iis ſemper curvas adſignari poſſe, quarum evolutione de-
ſcribantur, quæque ideo ad rectas lineas ſint reducibiles.
Ponatur primò parabola eſſe A B F, cujus vertex A,
22TAB. XVI.
Fig. 2. axis A Q. Cum igitur lineæ B M, F N, ſint parabolæ ad
angulos rectos; ductæque ſint ad axem A Q perpendicula-
res B K, F L; erunt, ex proprietate parabolæ, ſingulæ
M K, N L dimidio lateri recto æquales; & ablata commu-
ni L M, æquales inter ſe K L, M N. Hinc, quum ratio
B G ad G M componatur ex rationibus N H ad H L, &
K L ad M N, uti dictum fuit, ſitque earum poſterior

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